Answer:
Rotate 180 degrees with the center the origin (0,0)
Step-by-step explanation:
Try drawing a small square in the first quadrant, then reflect it like the direction. If you use tracing paper and and copy the figure, you will see that if you rotate the figure at the origin, it will land on the same spot as the translations.
A glassware seller bought 1000 glass tumblers. 100 of them were broken and she sold the remaining tumbler at Rs 80 each. If she made a loss of 4%, at what proce did she purchase each tumbler?
Answer:
$75
My answer might be a bit off since I'm not really sure what you mean by "Rs 80", which I interpreted as $80, but if my interpretation is wrong, you can still use all the same steps and you should get the correct answer
Step-by-step explanation:
So we can represent the price of each tumbler as the variable "P", since it's some unknown value we're solving for. Let's also just say that "T" is the total price that she paid for all of the tumblers.
Using this equation we can derive the following equation.
1000P = T
Since multiplying the price of each glass tumbler times the price of one glass tumbler should equal the entire price.
Now she only sold 900 of them, since 100 were broken, and she sold them each for 80. So knowing this we can find how much she made in total from selling the remaining 900 glass tumblers
900 * 80 = 72,000
Now if she made a loss of 4%, that means the total money she made back, is only 96% the amount of money she paid for the product. The reason for this is (100-4)% represents a 4% loss.
Remember, how T represents the entire price, well we know that 72,000 represents 96% of it's value. To find what x% is of some number, you generally convert the percentage into a decimal by dividing by 100, so to find x% of some variable "a" you generally use the following equation: [tex]a*\frac{x}{100}[/tex] where the value of this expression will be equal to x% of a.
So let's convert 96% to decimal form: [tex]\frac{96}{100} = 0.96[/tex]. Now if we multiply this decimal 0.96 by T, we should get 72,000 since the 72,000 represents 96% of the original value
[tex]0.96T = 72,000[/tex]
To find the original value of T, we simply divide both sides by 0.96
[tex]T = 75,000[/tex]
So now that we know the original total price, we can use the original equation we derived to solve for P, which represents the price of each individual tumbler.
Original Equation
[tex]1000P = T[/tex]
Substitute 75,000 as T
[tex]1000P = 75,000[/tex]
Divide both sides by 1,000
[tex]75=P[/tex]
This means she sold each for 75
What is the domain of the exponential function shown in the graph?
A.x > -1
B.x ≤ -1
C. x < 0
D. -∞ < x < ∞
The domain of the exponential function shown in the graph is -oo < x < oo
How to determine the domain of the exponential function shown in the graph?The function on the graph is an exponential function.
The domain is the set of x values the function can take
From the graph, we have the following x values
This means that the domain of x in the graph is -oo < x < oo
Hence, the domain of the exponential function shown in the graph is -oo < x < oo
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Calculate a central angle in degree intercepting an arc of length 7 pi/2 cm in a circle with radius 77cm.
The arc length of the circle exists 846.65922 cm.
How to estimate the central angle in degree?
A unit circle by definition contains a radius of 1 unit.
We have to estimate the length of the arc subtended by an angle of [tex]7\pi/2[/tex] radians.
arc length = radius [tex]*[/tex] angle
s = r[tex]$ * \theta[/tex]
Where s be the arc length
r be the radius of the circle
[tex]\theta[/tex] be the angle measured in radians
arc length = 77cm[tex]$*7\pi/2[/tex]
arc length = 77 [tex]*[/tex] 7(3.14) / 2
arc length = 846.65922 cm
Therefore, the arc length of the circle exists 846.65922 cm.
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If csc(x)=7, for 90 deg
sin(x/2)=
cos(x/2)=
tan(x/2)=
The values of trigonometric functions sin(x/2) is [tex]\sqrt{\frac{7+4\sqrt{3}}{14}}[/tex], cos(x/2) is [tex]\frac{1}{\sqrt{14(7+4\sqrt{3})}}[/tex] and tan(x/2) is 7+4√3.
Given that the value of trigonometric function csc(x)=7 for 90°<x<180°.
We are given:
csc(x)=7 Where: 90° < x < 180°
This interval indicates that the angle x in the second quadrant and we know that at that quadrant sin(x) and CSC(x) functions are positive and all other trigonometric functions sign are negative.
Now:
sin(x)=1/csc(x)
sin(x)=1/7
Using the trigonometric identity sin²x+cos²x=1, we get
cosx=±√(1-sin²x)
cosx=±√(1-(1/7)²)
cosx=±√((49-1)/49)
cosx=±(4√3)/7
As x is in second quadrant.
Therefore, cosx=-(4√3)/7
consider the inequality, 90°<x<180°
Divide by 2, we get
45°<x/2<90°
This is the angle x/2 in the first quadrant and in that quadrant all functions sign are positive.
Substitute the value of cosx in half angle formula for sine function,
[tex]\begin{aligned}\cos x&=1-2\sin^2\left(\frac{x}{2}\right)\\ -\frac{4\sqrt{3}}{7}&=1-2\sin^2\left(\frac{x}{2}\right)\\ 2\sin^2 \frac{x}{2}&=1+\frac{4\sqrt{3}}{7}\\\sin \frac{x}{2}&=\pm\sqrt{\frac{7+4\sqrt{3}}{14}}\end[/tex]
As x/2 lies in first quadrant then [tex]\sin \frac{x}{2}=\sqrt{\frac{7+4\sqrt{3}}{14}}[/tex]
Again, Substitute the value of cosx in half angle formula for sine function,[tex]\begin{aligned}\sin x&=2\sin\left(\frac{x}{2}\right)\cos\frac{x}{2}\\ \frac{1}{7}&=2\sqrt{\frac{7+4\sqrt{3}}{14}}\cos\left(\frac{x}{2}\right)\\ \cos \frac{x}{2}&=\frac{1}{14\times\frac{\sqrt{7+4\sqrt{3}}}{\sqrt{14}}}\\\cos \frac{x}{2}&=\frac{1}{\sqrt{14(7+4\sqrt{3})}}\end[/tex]
Now find tan(x/2) as shown below, we get
[tex]\begin{aligned}\tan\frac{x}{2}&=\frac{\sin\frac{x}{2}}{\cos \frac{x}{2}}\\&=\frac{\sqrt{7+4\sqrt{3}}}{\sqrt{14}}\times \frac{\sqrt{14}\sqrt{7+4\sqrt{3}}}{1}\\&=7+4\sqrt{3}\end[/tex]
Hence, when trigonometric function csc(x)=7 for 90°<x<180° then sin(x/2) is [tex]\sqrt{\frac{7+4\sqrt{3}}{14}}[/tex], cos(x/2) is [tex]\frac{1}{\sqrt{14(7+4\sqrt{3})}}[/tex] and tan(x/2) is 7+4√3.
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Alice and Bob are currently 1000 feet apart and are both running directly
toward each other at a constant speed of 10 feet per second. A bird starts in the same
position as Alice and flies directly toward Bob at a speed of 20 feet per second. When the
bird reaches Bob, it turns around immediately and starts flying toward Alice at the same
speed, turning around immediately when it reaches Alice, and repeating this procedure until
Alice and Bob meet. When Alice and Bob finally meet, what is the total distance that the
bird has flown, in feet?
The distance the bird has flown by the time Alice and Bob meet is 40 feet.
What is the distance?Distance is a measurement of time and speed.
The distance equals speed multiplied by time.
Data and Calculations:Distance between Alice and Bob = 1,000 feet
Distance between the bird and Bob = 1,000 feet
Speed of Alice and Bob = 10 feet per second, respectively
The combined speed of Alice and Bob = 20 feet per second
Since the two are running directly toward each other, the distance each will cover at the meeting point is 50 feet (1,000/20)
The time covered at the meeting point = 20 seconds (1,000/50)
Speed of the bird = 20 feet per second
The distance covered by the bird towards Bob at their meeting point is 40 feet (20 feet x 20 seconds)
Thus, the total distance covered by the bird at the meeting point is 40 feet.
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Question 10 of 28
Which of the following expressions are equivalent to
2. ? Choose all that apply.
ھر - 20
A.
B.
c.
2
(3)2 - (13 )2
1
1
(x3 - 3 ) ( + 13 )
2
1
(3 - 13) (3 - 13)
مردم زمرے
2
1
D. (x3 - 3 ) ( + 13 )
Answer: A, D
Step-by-step explanation:
A) Correct. [tex](x^3)^2=x^{(3)(2)}=x^6[/tex]. Similar logic for y.
B) Incorrect. The numerators are different.
C. Incorrect. The denominators are not the same.
D. Correct. The denominators are the same by difference of squares.
A carpenter can install 35 windows in 7 days. how many windows can he install in 15 days
Answer:
84
Step-by-step explanation:
Multiply 35 by 2.5
Answer:
75 windows
Step-by-step explanation:
35 ---- 7
x ----- 15
[tex]x=\frac{(35)(15)}{7} =75[/tex]
Hope this helps
A private jet flies the same distance in 10 hours that a commercial jet flies in 7 hours. if the speed of the commercial jet was 144mph less than 2 times the speed of the private jet, find the speed of each jet.
The speed of private jet is = 252 mph
The speed of commercial jet is = 360 mph
What is speed ?
Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.Let the speed of private jet be x mph.
Then the speed of commercial jet will be = 2x - 144
Equation forms:
10x = 7 ( 2x - 144 )
Solving for x
10x = 14x - 1008
⇒ 10x - 14x = - 1008
⇒ - 4x = - 1008
⇒ x = 252
So, x = 252
Hence, the speed of private jet is = 252 mph
The speed of commercial jet is = = 2(252) - 144 = 360 mph
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CAN SOMEONE HELP ASAP WITH 7,8?!!??!
For triangle DEF,
m∠D = 21°
m∠E = 87°
DF = 16
For triangle RST,
m∠S = 68°
m∠T = 57°
Simple polygons with three sides and three internal angles make up triangles. It is one of the fundamental geometric shapes in which the three vertices are connected to one another.
For ΔDEF, it is given that, m∠F = 72°, DE=15,EF=17.
By the law of cosines,
side DF=(a2+b2﹣2abcosγ)1/2
DF=16
Similarly,
m∠D = 21°
As the sum of angles of triangle is 180,
m∠E = 87°
For ΔRST, it is given that, m∠R = 55°, RS=17,RT=9.
By the law of cosines,
side ST=(a2+b2﹣2abcosγ)1/2
ST=16
Similarly,
m∠S = 68°
As the sum of angles of triangle is 180,
m∠T = 57°
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PLEASE HELP ITS MATH
Answer:
0.1 cases
Step-by-step explanation:
100(1-0.90)^3
100(0.10)^3
100(0.001)
0.1
Is the following number rational or irrational [tex]Is the following number rational or irrational \sqrt{45\\}[/tex]
Lakisha’s employer pays $2,150 in health insurance and $86 in life insurance per year. she also gets $3,520 in paid time off per year. her monthly gross pay is $4,370. what are lakisha’s total job benefits per year? a. $5,756 b. $10,126 c. $52,440 d. $58,196 please select the best answer from the choices provided a b c d
Lakisha's total job benefits per year are (D) $58,196.
What are employees' benefits?Employee perks and benefits in kind are non-wage compensation provided to employees in addition to their regular income or salary. A "salary package" or "salary exchange" arrangement is one in which an employee exchanges salaries for some other type of compensation.To find Lakisha's total job benefits:
If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:
Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay
Total Benefits= $2,150+$86+$3,520+12($4,370)Total Benefits= $2,150+$86+$3,520+$52,440Total Benefits=$58,196Therefore, Lakisha's total job benefits per year are (D) $58,196.
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Answer The answer is D
Step-by-step explanation:
I got it correct on edg
Emma learned in science class that fruit fly populations can increase by about 30% each day.
She found 7 fruit flies on a rotten banana today, and she is curious how many fruit flies could
be on the banana in a few days. You can use a function to approximate the number of fruit
flies on the banana after x days.
Write an equation for the function. If it is linear, write it in the form h(x) = mx + b. If it is
exponential, write it in the form h(x) = a(b)*.
h(x) =
DIO
89
Answer:
[tex]h(x)=7(1.3)^x[/tex]
Step-by-step explanation:
Since this is an exponential equation we will use
[tex]h(x)=a(b)^x[/tex]
[tex]a[/tex] Is your starting value, 7
[tex]b[/tex] Is your percentage of change, remember its not 0.3, as that would hint the population is decreasing by thirds exponentially, instead we will use 1.3 as our percent of change, as the 1 maintains the original value and the 0.3 adds 30%, now all we have to do is put it all together!
[tex]h(x)=7(1.3)^x[/tex]
In order to play at the Mt. Guinea Country Miniature Golf Club, a player has to pay the membership fee and pay for each round played. The total
cost is represented by the function
T-44.09r+12.70, where T the total cost (in dollars) and r= the number of rounds played.
Which of the following statements must be true?
Armando used algebra tiles to represent the product 3 x (2 x minus 1). an algebra tile configuration. 3 tiles are in the factor 1 spot and are labeled x. 3 tiles are in the factor 2 spot: 2 are labeled x and 1 is labeled negative. 15 tiles are in the product spot: 2 are labeled x squared, 4 are labeled x, 1 is labeled negative x, and 4 are labeled negative. which is true regarding armando’s use of algebra tiles?
The correct powers of x are not displayed in several of the goods.
What is algebraic tiles?Algebra tiles are mathematical manipulatives that help pupils better comprehend algebraic thinking and its ideas. These tiles have shown to give beginning algebra pupils in elementary, middle, high, and college concrete models.
How do algebraic tiles function?Blocks called algebra tiles can be used to symbolize constant, linear, and quadratic terms. Small yellow squares stand in for constant blocks, green rectangles for linear blocks, blue squares for quadratic blocks, and red squares for negative sides for all other types of blocks.
Future:
The image shows,
3x(2x - 1) = 6x² - 3x
This should be the appropriate representation on the tile:
_____+x _____ +x _____ +x
+x _ +x² ______+x² ______+x²
|
+x__ +x² _____ +x² ______+x²
|
- __ -x ______ -x _______-x
+6x² - 3x
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Kari is preparing for a party and must have the perfect outfit with one
jacket and one jumpsuit. How many possible outcomes can she create if
she has a jean jacket, leather jacket, white jumpsuit, tan jumpsuit, green
jumpsuit, and a black jumpsuit?
Answer:
8
Step-by-step explanation:
Kari has 2 choices for jackets and 4 choices for jumpsuits. We'll multiply those together to find the number of options she has.
Since the numbers are very small, we can grind out this same number (but be organized):
Jean/white
Jean/tan
Jean/green
Jean/black
Leather/white
Leather/tan
Leather/green
Leather/black
These are the eight choices.
Factorise :
ab(x^2 - y^2) + (a^2 - b^2)xy = 0
Step-by-step explanation:
abx^2-aby^2+xya^2-xyb^2
abx^2+xya^2-aby^2-xyb^2
ax(bx+ya)-yb(ay+xb)
ax(bx+ya)-yb(xb+ay)
(ax-yb) (bx+ya)
5. On the way to the museum, 50% of the students rode on the first bus.
What fraction of the students rode on the second bus? Show your work
in the space below. Remember to check your solution.
Answer:
1/2
Step-by-step explanation:
Since 50% is half the number of students it means that half of the students took the first bus which leaves the other half to take the 2nd bus
Kim has $10$ identical lamps and $3$ identical tables. How many ways are there for her to put all the lamps on the tables
There are 66 ways Kim can put the 10 identical lamps on the 3 identical tables
How to determine the number of ways?The given parameters are:
Identical lamps, n = 10Identical tables, r = 3The combination involving identical objects is calculated using:
(n + r - 1)C(r - 1)
So, we have:
n + r - 1 = 10 + 3 - 1
Evaluate the sum
n + r - 1 = 13 - 1
Evaluate the difference
n + r - 1 = 12
Also, we have:
r - 1 = 3 - 1
Evaluate the difference
r - 1 = 2
So, we have:
(n + r - 1)C(r - 1) = 12C2
Apply the following combination formula:
nCr = n!/((n - r)!r!)
So, we have:
12C2 = 12!/((12 - 2)! * 2!)
Evaluate the difference
12C2 = 12!/(10! * 2!)
Expand the numerator
12C2 = 12 * 11 * 10!/(10! * 2!)
Evaluate the quotient
12C2 = 12 * 11/2!
Expand the denominator
12C2 = 12 * 11/2 * 1
Evaluate the product
12C2 = 132/2
Evaluate the quotient
12C2 = 66
Hence, there are 66 ways Kim can put the 10 identical lamps on the 3 identical tables
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What is the Value of X
Answer:
B
Step-by-step explanation:
for the lines to be parallel , then
8x - 14 and 2x + 54 are same- side interior angles and sum to 180°, that is
8x - 14 + 2x + 54 = 180
10x + 40 = 180 ( subtract 40 from both sides )
10x = 140 ( divide both sides by 10 )
x = 14
Choose the inverse of y=x²-10x.
Oy=±√√x-25-5
O y = ± √√x-25 +5
Oy=√x+25-5
Oy=+√√x+25 +5
Answer:
[tex]y = \sqrt{x+25} + 5[/tex]
Step-by-step explanation:
Swap x and y
x = y² – 10y
Add 25 to each side to complete the square
x + 25 = y² – 10y + 25
Factor
x + 25 = (y – 5)²
Take the square root of each side
[tex]\sqrt{x+25}[/tex] = y – 5
Add 5 to both sides
[tex]\sqrt{x+25}[/tex] + 5 = y
For a sample of size 300 from a population with the population proportion, p = 0. 45, compute μphat and σphat
For a sample of size 300 from a population with the population proportion, the μphat and σphat are 0.0287.
A share is an equation in which ratios are set equal to each other. for example, if there may be 1 boy and three women you can write the ratio as 1 : 3 (for each boy there are 3 women) 1 / 4 are boys and three / 4 are girls.
The formula for proportion is components /complete = percent/100. This system can be used to locate the percentage of a given ratio and to locate the lacking value of an element or an entire.
A proportion is generally written as equal fractions. for example: note that the equation has a ratio on each facet of the same signal. Every ratio compares the equal units, inches, and feet, and the ratios are equivalent due to the fact the devices are regular and equal.
Given 300 2 and p 0.45
p = 0.45 Up
and Õp-sqrt(p(1-p)/n) sqrt(0.45 * 0.55/300) sqrt(0.000825) =0.0287
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Adam’s house is 2 centimeters from juan’s house on a map. if each centimeter on the map represents 6 kilometers, how far apart are the two houses? startfraction 1 over 12 endfraction kilometer one-third kilometer 3 kilometers 12 kilometers
Juan's home is about 12 kilometers from Adam's.
What are measurements in math's?In the study of mathematics and science, measurement is the fundamental idea. By quantifying an object's or event's qualities, we can compare them to those of other objects or occurrences. When discussing the division of a quantity, the phrase "measurement" is most frequently employed.
According to the given information:The distance between Adam's and Juan's residences on the map in centimeters is simply multiplied by the number of kilometers that each centimeter on the map represents, which in this case is 6, to determine how far Adam's house is from Juan's.
2 * 6 = 12
Which is our response.
Juan's home is about 12 kilometers from Adam's.
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Geometry: ASAP!!! Complete this proof
Answer:
1. ∠1 ≅ 6 : Given
2. ∠3 ≅ ∠ 4 : Vertical Angles Congruence Property
3. ∠2 ≅ ∠5 : Corollary III of Theorem 19 : If two angles of two triangles are congruent, then the third angle of both triangles are congruent.
Step-by-step explanation: For ∠3 ≅ ∠4, the angles are in a diagonal placement, meaning they are vertical angles. Vertical angles are always congruent.
Lookimg at one of the problems you posted earlier, the Corollary III of Theorem 19 given, states that if two angles are congruent in both triangles, then the third angle is congruent in both triangles. Since we have 2 angles already congruent to 2 other angles, ∠2 and ∠5 must be congruent.
Hope this helped!
Which of these is a simplified form of the equation 7y 8 = 9 3y 2y? 7y = 6 2y = 1 12y = 17 5y = 17
The simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1
How to simplify an equation?The equation can be simplified as follows:
7y + 8 = 9 + 3y + 2y
We have to combine like terms
Hence,
7y + 8 = 9 + 3y + 2y
7y + 8 = 9 + 5y
subtract 5y from both sides
7y - 5y + 8 = 9 + 5y - 5y
2y + 8 = 9
Let's subtract 8 from both sides
2y + 8 - 8 = 9 - 8
2y = 1
Therefore, the simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1
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Express the volume of the box as a
polynomial in the variable x
The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
How to determine the volume?The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
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PLEASE HELP IM STUCK
Direct variation is modeled by the equation y = kx, where k is a constant and x and y vary based on the other's value.
We'll first need to find k, also known as the constant of variation, using our given values of x and y.
6 = k * -7
k = -6/7
Now that we have k, we can plug it in and substitute other values in for x or y. In this case, we'll plug in 4 for x and solve for y.
y = -6/7x
y = -6/7 * (4)
y = -24/7
y = -24/7
Hope this helps!
Answer:
y = -24/7
Step-by-step explanation:
We can use proportions for this question since y varies directly with x. This means that if x changes, y changes along with the x, and vice versa.
When y = 6, x = -7, so the proportion will be 6 : -7.
We need to find the y when x is 4, so our equation will be:
6 : -7 = y : 4
Since the proportion will be the same.
Next, we multiply the inner two numbers, and the outer two numbers, saying that the values are the same.
-7y = 24
y = 24 / -7
y = - 24/7
So y = -24/7 will be our answer!
+ Since the '-' is already written down, the top box will contain 24, and the bottom box will contain 7.
What would you do if you found two values that were twice as big as the next highest value?
If I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.
What is a numerical data?A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only.
This ultimately implies that, a numerical data is a data set consisting of numbers rather than words.
What is an outlier?An outlier can be defined as a numerical value that is either unusually too small or large (big) in comparison with the overall pattern of the numerical values contained in a data set.
Assuming I am counting the number of expert tutors on Brainly and I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.
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A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.
65% of the 800 students at North High School ride the bus. How many students ride the bus?
Answer:
800÷100 = 8
65×8=520
[tex]\frac{520}{800}[/tex]
another way:
100%-65%=35%
35% = 0.35
800×0.35= 280
800-280=520
another way:
65% = 0.65
0.65×800=520
Hope it helped! :)
Use the following recipe to answer questions 1 through 4:
Pumpkin- 1.2 kg
Chicken stock- 1.5L
Sugar- 5 mL
Yogurt- 0.25 L
1)what would be the best u.s standard unit in which to measure the pumpkin?
2) To measure the stock?
3) to measure the sugar?
4) to measure the yogurt?
#1
The unit is pounds
1kg=2.2lbs1.2kg=1.2(2.2)=2.64lbs#2
The unit must be pintSo
1L=2pints(Approx)1.5L=1.5(2)=3pints#3
We shall use cups
1mL=0.004cups5ml=0.020=0.02cups#4
We should use pints
1L=2pints0.25L=2/4=1/2=0.5pintsAnswer:
1. pounds (lb)
2. pints (pt)
3. teaspoon (tsp)
4. cups (c)
Step-by-step explanation:
US Standard UnitsLiquid
Fluid Ounces (fl oz)Cups (c)Pints (pt)Quarts (qt)Gallons (gal)128 fl oz = 16 cups = 8 pints = 4 quarts = 1 gallon
Mass
Ounces (oz)Pounds (lb)Tons (short ton)32000 ounces = 2000 pounds = 1 ton
Solutions1. The best US standard unit in which to measure pumpkin with a mass of 1.2 kg would be pounds (lb).
⇒ 1 kg ≈ 2.205 lb
⇒ 1.2 kg ≈ 1.2 × 2.205 = 2.65 lb
2. The best US standard unit in which to measure stock with a volume of 1.5 L would be pints (pt).
⇒ 1 L ≈ 2.133 pt
⇒ 1.5 L ≈ 1.5 × 2.113 = 3.17 pt
3. The best US standard unit in which to measure sugar of 5 mL would be teaspoon (tsp).
⇒ 5 mL = 5 g ≈ 1 teaspoon
4. The best US standard unit in which to measure yogurt with a volume of 0.25 L would be cups (c).
⇒ 1 L ≈ 4.167 c
⇒ 0.25 L ≈ 0.25 × 4.167 = 1.04 c