45 kilograms of meat is required to feed 2 pet dragons each day.
Amara needs 45 kilograms of meat to feed 2 pet dragons each day.
What is unitary method ?Unitary method is a mathematical way of deriving a single unit then obtaining the required units by multiplying it with the single unit.
According to the given question Amara needs 90 kilograms of meat to feed her 4 pet dragons each day.
Also given that each pet dragon eats the same amount of meat.
∴ 1 pet dragon eat 90/4 kilograms of meat which is
= 22.5 kilograms of meat.
So, Amara need (22.5×2) = 45 kilograms of meat to feet 2 pet dragons.
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Evaluate the expression w2 - v+ 1 for W = -2 and v = -8.
A. -11
B. 5
C. 13
D. -3
Answer:
13
Step-by-step explanation:
w^2 = -2^2 = 4
-v = -1*-8 = 8
Put it together: w^2-v+1 --> 4+8+1 = 13
A man spent one-fourth of his salary on food and one-half of the remainder on clothing. If his salary is 120000, how much did he spend on clothing
Answer:
salary=120000
1/4×120000=30000= money spent
remainder=120000- 30000
= 90000
money spent on clothing =1/2×90000
=45000
Explanation: If his salary is $120,000 and 1/4 is used on food he has a remaining of $80,000. He uses 1/2 on clothing so he has a remainder of $40,000 so now we know that he used $40,000 on clothing
Answer: $40,000
Hope this helps you! :D
Please help
Find the area in square units of ABC△ plotted below.
Answer:
Use the distance formula on both points AC and AB.
Distance formula is this:
\begin{gathered}d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\\end{gathered}d=(x2−x1)2+(y2−y1)2d=(1−−5)2+(8−−7)2d=(6)2+(15)2d=36+225d=261
Distance for AC is 16.16
Now do the same with the numbers for AB and get the distance of 5.39
2. To get the area, use the formula 1/2 x base x height
AB is the base and AC is the height.
1/2 x 16.16 x 5.39 = 43.55
the answer is 43.5
PLEASE HELP IM STUCK PLS
Answer:
The slope is -3.
Step-by-step explanation:
The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate the:
RISE = (-6 - 3) = -9
RUN = (8 - 5) = 3
Rise/Run, or slope, is = -9/3 or -3
I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.
Larry took 21 minutes to do 7 math problems. Mary took 19 minutes to do 8 math problems. Which student
did more problems per minute
The total number of reds, yellows, and
greens on a scale is 9. The reds weighed
3 pounds each, the yellows weighed
6 pounds each, and the greens weighed
5 pounds each. The total weight is 44
pounds. If there are 2 more greens than reds,
how many of each color are there?
Using the total weight the number of red, green and yellow colour are 2, 4 and 3 respectively.
How to find each colour using total weight?The total number of reds, yellows, and greens on a scale is 9.
The reds weighed 3 pounds each, the yellows weighed 6 pounds each, and the greens weighed 5 pounds each. The total weight is 44
pounds. There are 2 more greens than reds.
Therefore,
let
x = number of reds
number of greens = x + 2
y = number of yellow
Therefore,
x + x + 2 + y = 9
2x + y = 7
3x + 6y + 5(x + 2) = 44
3x + 6y + 5x + 10 = 44
8x + 6y = 34
Hence,
2x + y = 7
8x + 6y = 34
8x + 4y = 28
8x + 6y = 34
2y = 6
y = 6 / 2
y = 3
2x + 3 = 7
2x = 7 - 3
2x = 4
x = 4 / 2
x = 2
Therefore,
the number red colour = 2
the number of green colour = 2 + 2 = 4
the number of yellow colour = 3
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Translate and solve using proportions. What number is 63% of 190?
Answer:
Step-by-step explanation:
190/x=100/63
(190/x)*x=(100/63)*x - we multiply both sides of the equation by x
190=1.5873015873016*x - we divide both sides of the equation by (1.5873015873016) to get x
190/1.5873015873016=x
119.7=x
x=119.7
now we have:
63% of 190=119.7
You are requesting a number, as the question clearly states. So, a number should be the response. However, because 63 and 190 are not stated and might indicate a variety of things, we must make an assumption in order to provide a response.
We will thus assume that 63 is a percentage and that 190 is a number in order to respond to the question, "What number is 63 of 190?"
We multiply 63 by 190 and then divide the result by 100 to obtain the solution. Here is the calculation and response to your query:
⇒ 63 x 190 = 11970
⇒ 11970 / 100 = 119.7
Assuming you meant 63 percent of 190, the answer to the question "What number is 63 of 190?" is 119.7, as shown and computed above.
Thank you,
Eddie
ANSWER ASAP!!
what is the missing word in the pattern below?
Monday, Tuesday, Wednesday, __, Tuesday, Wednesday, Monday
A. Tuesday
B. Monday
C. Monday
D. Tuesday
Answer:
b
Step-by-step explanation:
Answer:
B. Monday
Step-by-step explanation:
Monday, Tuesday, Wednesday, Monday, Tuesday, Wednesday, Monday
hope it helps
Show do i solve for the missing answers
Consider this equation.
How many valid solutions does the equation have?
=
Answer:
1
Step-by-step explanation:
(10x + 25) / (3x + 12) = (5x) / (x + 4)
5(2x + 5) / 3(x + 4) = 5(x) / (x +4)
(2x + 5) / 3 = x
2x + 5 = 3x
x = 5
Check.
(10*5+ 25) / (3*5 + 12) = (5*5) / (5 + 4)
75/27 = 25/9
25/9 = 25/9
Three times my age in 5 years is 54. How old am i now.
a.10
b.11
c.12
d.13
e.14
Answer:
D. 13
Step-by-step explanation:
54 ÷ 3 = 18 (your age in 5 years)
18 - 5 = 13 (your age now)
A company needs to package 7,560 beads. A wooden container shaped like a rectangular prism can hold 180 beads. A plastic cylindrical container can hold 126 beads. The wooden container costs the company $0.70, while the plastic container costs $0.40.
Which container should the company use to minimize cost? Explain.
The wooden containers should be used because it will cost $5.40 more to use the plastic containers.
The plastic containers should be used because it will cost $5.40 more to use the wooden containers.
The wooden containers should be used because it will cost $16.20 more to use the plastic containers.
The plastic containers should be used because it will cost $16.20 more to use the wooden containers.
The plastic containers should be used by the company to minimize the cost because it will cost $5.40 more to use the wooden containers.
What are word problems in mathematics?A mathematical word problem is a question that is stated as one or more sentences and calls on students to use their understanding of arithmetic operations to solve a "real-life" problem.
As you are aware, word problems can include almost any operation, including addition, subtraction, division, and even many operations at once.
From the given information:
If the company uses a wooden container shaped-liked rectangular prism, the will need to use (7560/180) containers.
= 42 containers of wooden containers.
If the company uses a plastic cylindrical container, they will need to use (7560/126) containers.
= 60 containers of plastic containers.
To determine the container that the company should use that will minimize the cost:
If the company decided to use the wooden container, then they will spend = 42 × $0.70 = $29.4If the company decided to use the plastic container, then they will spend = 60 × $0.40 = $24Therefore, we can conclude that the company should use plastic containers because it will cost $5.40 more to use wooden containers.
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Answer:
B. The plastic containers should be used because it will cost $5.40 more to use the wooden containers.
Step-by-step explanation:
Find the output, h, when the input, x, is -18.
h = 17+
=
I
6
The value of output, h, when the input, x, is -18 for the given equation is 14
Solving an equationFrom the given question, we are to determine the value of the output, h, when the input x is -18
The given equation written properly is
h = 17 + x/6
Now, to determine the value of output, h, we will put in the value of x into the equation
h= 17 + x/6
The given value of x is -18
Thus, putting the given value of x into the equation, we get
h= 17 + x/6
h= 17 + -18/6
h = 17 + -3
h = 17 - 3
NOTE: + × - = -
h = 14
∴ h is 14 when x is -18
Hence, the value of output, h, when the input, x, is -18 for the given equation is 14
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I don't understand this question
Answer:
7 people are going in the minivan.
Step-by-step explanation:
Since Chris AND the other 18 people are going, add 1 to 18 (19).
There are 3 cars, which have 4 each. We can use multiplication to determine that there are a total of 3 x 4 people in the cars, which is equivalent to 12.
Since the remaining party people are going in the minivan, we will subtract 12 from 19 to get 7.
Therefore, 7 people are going in the minivan.
Hope this helps!
Variables y and x have a proportional relationship wher y=18 when x=2 what is the value of x when y=36
Answer:
4
Step-by-step explanation:
18 + 18 = 36
So you got 36 cuz you times by two so you times the same for x
which is
2 x 2 = 4
Answer:
4
Step-by-step explanation:
We can set up a proportion.
18:2 = 36: x
If we multiply 18 by 2, and multiply 2 by 2, we can get 18:2 = 36:4, so x is equal to 4
Find, correct to the nearest minute, the angle subtended at the centre of a circle of radius 5 cm by an of length 13 cm.
[tex]\\ \tt{:}\dashrightarrow \ell=\dfrac{\Theta}{180}\pi r[/tex]
[tex]\\ \tt{:}\dashrightarrow \Theta=\dfrac{180\ell}{\pi r}[/tex]
[tex]\\ \tt{:}\dashrightarrow \Theta=\dfrac{180(13)}{5\pi}[/tex]
[tex]\\ \tt{:}\dashrightarrow \Theta=149^{\circ}[/tex]
1°=60'[tex]\\ \tt{:}\dashrightarrow \Theta=149(60)[/tex]
[tex]\\ \tt{:}\dashrightarrow \Theta=8940'[/tex]
The angle subtended at the center of a circle of radius 5 cm by a length of 13 cm is 149.1°.
Given that,
The angle is subtended at the center of a circle of radius 5 cm by a length of 13 cm.
Here, Lenght of an arc = 13 cm
The radius of an arc = 5 cm
Used the formula for the angles (θ);
Length of an arc = 2πrθ / 360°
Substitute all the values, we get;
13 = 2 × 3.14 × 5 × θ / 360°
Solve for θ;
13 × 360° = 31.4 × θ
4,680° = 31.4 × θ
θ = 4,680°/31.4
θ = 149.1°
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Solve the system of equations by graphing.
2x^2 + 8y^2 = 50
x^2 + y^2 = 13
The solutions for the given system are (3,2), (3,-2), (-3,2) and (-3,-2).
What is a Quadratic Function?
The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
The solution of these equations represents the points at which the parabolas intersect.
2x²+8y²=50 (1)
x² + y²= 13 (2)
Multiplying the equation 2 by -2, you have:
2x²+8y²=50 (1)
-2x² -2 y²= -26(2)
Sum both equations, you have: 6y²= 24. Now, you can find y.
6y²= 24
y²=4
y=±2
If y=2, from equation 2, you have
x² + y²= 13
x² + 2²= 13
x² + 4= 13
x² =13-4
x² =9
x=±3
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A yoga studio sells monthly memberships. the function f(x) = −x2 50x − 264 models the profit in dollars, where x is the number of memberships sold. determine the zeros, and explain what these values mean in the context of the problem.
The zeros represent the number of monthly memberships where no profit is made; x = 6, x = 44.
To determine the zeroes, calculate:The function we have is: [tex]f(x) = -x^{2} +50x-264[/tex]
That models the profit in dollars, where [tex]x[/tex] is the number of memberships sold.
In order to get the zeros we'll use the quadratic formula:
[tex]x_{1,2} =\frac{-b+-(b^{2}-4ac) }{2a} \\[/tex]
For,
[tex]a=-1,b=50,c=-264: x^{1,2} =\frac{-50+-\sqrt[]{50^{2} -4(-1)(-264)} }{2(-1)} \\x_{1} =\frac{-50+\sqrt[]{50^{2} -4(-1)(-264)} }{2(-1)} =\frac{-50+\sqrt[]{50^{2} -4*1*264} }{2(-1)}=\frac{-50+\sqrt[]{1444} }{-2} =6\\x_{2} =\frac{-50+\sqrt[]{50^{2} -4(-1)(-264)} }{2(-1)} =\frac{-50-\sqrt[]{50^{2} -4*1*264} }{2(-1)}=\frac{-50-\sqrt[]{1444} }{-2} =44\\[/tex]
So, the zeroes are [tex]x=6, x=44[/tex].
Therefore, the zeros represent the number of monthly memberships where no profit is made; x = 6, x = 44.
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The complete question is given below:
A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number of memberships sold.
Determine the zeros, and explain what these values mean in the context of the problem.
x = 6, x = 44; The zeros represent the number of monthly memberships that produce a maximum profit.
x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.
x = 25, x = 361; The zeros represent the number of monthly memberships where no profit is made.
x = 25, x = 361; The zeros represent the number of monthly memberships that produce a maximum profit.
Answer:
The answer is: x = 6, x = 44; The zeros represent the number of monthly memberships when no profit is made.
Choose the best answer. the diagonals of a square bisect each other at ___ angles.
right angles. .... . . . . ......
When rolling two dice what is the probability of rolling a sum of six or two even numbers.
The probability of rolling a sum of six or two even numbers.
is P = 1/3
How to find the probability?
Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:
6*6 = 36
Now, the outcomes that given a sum of 6 are:
dice 1 dice 2.
1 5
5 1
2 4
4 2
3 3
We have 5 outcomes there.
The outcomes where both numbers are even are:
dice 1 dice 2.
2 2
2 4
4 2
4 4
4 6
6 2
6 4
6 6
We have 8 outcomes here (such that 2 are in the ones we counted before).
Then the total number of outcomes that either add to 6 or have both even numbers are:
5 + 8 - 2 = 12
Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:
P = 12/36 = 1/3
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Solve question
6= x/4 + 2
Answer:
x=16
Step-by-step explanation:
6= x/4 + 2
Subtract 2 from both sides.
4= x/4
Multiply 4 to both sides.
x=16
Hope this helps!
The product of three consecutive integers is 210. What is their sum?
Answer:
3 consecutive no.s are
5×6×7=210
sum of them is= 5+6+7
=18
So, I hope. it helps !!
The graphs below are both quadratic functions. The equation of the red graph
is fx) = ». Which of these is the equation of the blue graph, g(x)?
Answer:
A. y = 1/3x^2
Step-by-step explanation:
The red graph is stretched horizontally by a factor 1/3 to give the blue graph
Find the Diameter of the Circle with the following equation. Round to the nearest tenth.
(x - 2)2 + (y + 6)2 = 20
Answer:
11.8 units
Step-by-step explanation:
The circle equation is given as:
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2Where
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2r
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we have
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sides
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 2
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 22r = 11.8
The circle equation is given as:(x - 2)^2 + (y + 6)^2 = 35A circle equation is represented as:(x - a)^2 + (y - b)^2 = r^2WhereDiameter = 2rBy comparing both equations, we haver^2 = 35Take the square root of both sidesr = 5.9Multiply by 22r = 11.8Hence, the diameter of the circle is 11.8 units
Answer: 8,9.
Step-by-step explanation:
[tex](x-2)^2+(y+6)^2=20\\Circle \ equation\\\boxed {(x-a)^2+(y-b)^2=r^2}\\r^2=20\\r*r=\sqrt{20}*\sqrt{20}\\ r=\sqrt{20}\\ r=\sqrt{4*5}\\ r=2\sqrt{5} \\ D=2r\\D=2*2\sqrt{5}\\ D=4\sqrt{5}\\ D\approx8,9.[/tex]
Rewrite 2x = 128 as a logarithmic equation.
Ologx128=2
O log2x = 128
O log₂128 = x
Olog128x = 2
The logarithmic equation is:
log₂128 = x
So the correct option is the third one
How to rewrite this as a logarithmic equation?
Here we have the expression.
2ˣ = 128
Now, if we apply the natural logarithm to both sides, we can get:
ln(2ˣ) = ln(128)
Because of the property of natural logarithms, we can write the left side as:
ln(2ˣ) = x*ln(2) = ln(128)
Now, if we isolate x, we get:
x = ln(128)/ln(2)
And remember that:
ln(k)/ln(n) = logₙ(k)
Then we can rewrite the logarithmic equation as:
x = log₂(128)
Which is the third option.
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Translate each sentence into an equation.
1. One fourth of m minus six is equal to two times the sum of m and 9.
4. MARBLES Drew has 50 red, green, and blue marbles. He has six more red marbles than blue marbles
and four fewer green marbles than blue marbles. Write and solve an equation to determine how many blue
marbles Drew has.
One fourth of m minus six is equal to two times the sum of m and 9:
[tex]\dfrac{1}{4}m -6=2(m+9)[/tex]This is self-explanatory, please comment if something is unclear.
Question 2Drew has 50 marbles; red, green and blue.
Equation for this:
r + g + b = 50He has six more red marbles than blue marbles:
Equation for this:
r = b + 6He has four fewer green marbles than blue marbles:
Equation for this:
g = b - 4Substitute r and g into first equation and solve for b:
r + g + b = 50b + 6 + b - 4 + b = 503b + 2 = 503b = 48b = 48/3b = 16Drew has 16 blue marbles.
there were 7 cantaloupes for every 8 watermelons in the garden. If there were 98 cantaloupes, how many watermelons were in the garden?
Answer:
14×7=98 so multiply the same into 14×8=112
Answer:
112 watermelons
Step-by-step explanation:
7/8 = 7÷7/8÷7 = 1/1.14285714286
1 x 98/ 1.14285714286 x 98
98/112
A simple random sample is guaranteed to reflect exactly the population from which it was drawn.
a. true
b. false
Answer:
B
Step-by-step explanation:
What is the weight (in grams) of a liquid that exactly fills a 202 milliliter container if the density of the liquid is 0.685grams over milliliter? round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point.
Answer:
138.37 g
Step-by-step explanation:
Mass is the product of density and volume.
MassM = ρV = (0.685 g/mL)(202 mL) = 138.37 g
What is the Value of x
Answer:
x = 11
Step-by-step explanation:
A segment parallel to a side of a triangle cuts off proportional segments on the sides.
48/6 = (3x + 7)/5
8 = (3x + 7)/5
3x + 7 = 40
3x = 33
x = 11