Carries two brothers each ate 4 pieces, the rest of carries family ate 14 pieces and there were 14 pieces remaining given that Carries family broke a package of graham crackers into 32 pieces. carries two brothers each ate 1/8 of the pieces and the rest of the family ate 7/16 of the pieces. This can be obtained by multiplying the fractions given with the total number.
Find the required number of pieces:From the question it is given that,
Carries family broke a package of graham crackers into 32 pieces.
Therefore total number of pieces will be 32 pieces.
First it is said that,carries two brothers each ate 1/8 of the pieces
This means that out of 32, 1/8 of the pieces were ate by the two brothers.
1/8 of 32 = 1/8 × 32 = 4 pieces
⇒ Carries two brothers each ate 4 pieces
Next it is said that,the rest of the family ate 7/16 of the pieces
This means that out of 32, 7/16 of the pieces were ate by the rest of the family
7/16 of 32 = 7/16 × 32 = 14 pieces
⇒ the rest of carries family ate 14 pieces
To find the remaining pieces add the number of pieces ate by both carries brothers and the rest of the family and subtracting from the total number of pieces.remaining pieces = 32 - (4 + 14) = 32 - 18 = 14 pieces
⇒ there were 14 pieces remaining
carries two brothers each ate 4 piecesthe rest of carries family ate 14 piecesthere were 14 pieces remainingHence Carries two brothers each ate 4 pieces, the rest of carries family ate 14 pieces and there were 14 pieces remaining given that Carries family broke a package of graham crackers into 32 pieces.
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Carries family broke a package of graham crackers into 32 pieces. carries two brothers each ate 1/8 of the pieces and the rest of the family ate 7/16 of the pieces.
carries two brothers each ate ____ pieces
the rest of carries family ate ____ pieces
there were ____ pieces remaining
A savings account earns 15% interest annually. What is the balance after 8 years in the savings account when the initial deposit is 7500?
The balance after 8 years is $22,942.67
What is the balance after 8 years?
We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:
B = $7500*(1 + 15%/100%)^t
B = $7500*(1.15)^t
The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:
B = $7500*(1.15)^8 = $22,942.67
So the correct option is the last one.
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Cube a and cube b are similar solids. the volume of cube a is 27 cubic inches, and the volume of cube b is 125 cubic inches. how many times larger is the base area of cube b than the base area of cube a?
The base area of cube B is 25/9 times larger than the base area of cube A.
What is area cubic?
Surface area of cube is the sum of areas of all the faces of cube, that covers it. The formula for surface area is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube. It is basically the total surface area.We know that volume of cube with each side of units is equal to .
First of all, we will find the each side of cube A and B as:
[tex]A^{3} = 27[/tex]
[tex]\sqrt[3]{A^{3} } = \sqrt[3]{27}[/tex]
A = 3
[tex]B^{3} = 125[/tex]
[tex]\sqrt[3]{B^{3} } = \sqrt[3]{125}[/tex]
B = 5
Now, we will find base area of both cubes as:
[tex]\frac{Base area of B}{Base area of A} = \frac{B^{2} }{A^{2} }[/tex]
[tex]\frac{Base area of B}{Base area of A} = \frac{5^{2} }{3^{2} }[/tex]
[tex]\frac{Base area of B}{Base area of A} = \frac{25}{9}[/tex]
Therefore, the base area of cube B is 25/9 times larger than the base area of cube A.
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3
OYes
O No
Is the following relation a function? (1 point)
x y
1 4
-1 -2
3 10
5 16
Answer: Yes
Step-by-step explanation:
Each value of y maps onto one value of x.
Geometry: complete these proofs, ASAP!!!
Answer:
1. Given.
2. <5 is supplementary to <4.
2. Angles 5 and 4 are consecutive angles, and by the consecutive angles theorem, the two are supplementary.
3. m<4 + m<5 = 180
3. By the definition of supplementary angles, m<4 + m<5 = 180.
4. m<2 = m<4
4. Angles 2 and 4 are corresponding angles, and by the corresponding angles postulate, the two are congruent. By the definition of congruent angles, m<2 = m<4.
5. m<5 + m<2 = 180
5. Substitution property of equality.
A number exceeds its four-sevenths by 18. Find the number.
Answer:
42
Step-by-step explanation:
let the number be x
4/7 of x
(4/7) × x
4x/7
As stated in the question:
x=4x/7+18
=x-4x/7=18
=(7x-4x)/7=18
=3x/7=18
3x= 18×17
3x= 126
x=126/3
x=42
Study island math pls helppp
I will love you if you answer
Answer:
Since <ABC ~= <DBE and <BAC ~= <BDE, the triangle s are similar by angle-angle.
Jaxon is training for a climbing competition.
He breaks his training up into strength and
endurance training in the ratio 5:3.
If he spends 4 hours on endurance training,
how long should he spend on strength training?
======================================================
Work Shown:
(x hours strength)/(4 hours endurance) = 5/3
x/4 = 5/3
3x = 4*5
3x = 20
x = 20/3
x = (18+2)/3
x = 18/3 + 2/3
x = 6 + 2/3
x = 6 & 2/3
He needs to spend 6 full hours, plus an additional 2/3 of an hour, on strength training.
1 hr = 60 min
2/3 hr = (2/3)*60 min
2/3 hr = 40 min
6 hr + 2/3 hr = 6 hr + 40 min
Therefore, he needs to spend 6 hours, 40 minutes on strength training.
This is equivalent to 6*60+40 = 360+40 = 400 minutes.
An astronaut who weighed 150 pounds on earth found that his weight on jupiter was 400 pounds. he captured an alien that weighed 120 pounds on jupiter. what is the alien's weight on earth? a. 45 pounds c. 500 pounds b. 30 pounds d. 320 pounds
Which point is the circumcenter of the triangle?
A) E
B) G
C) F
D) D
Answer: Point D
Reason:
The circumcenter is found by intersecting the perpendicular bisectors of each segment of the triangle.
As you can see, the circumcenter is the center of the circumcircle. This special circle is the smallest possible that wraps the triangle so to speak. The vertices of the triangle are on the circle. The distances AD, BD and CD are all the same.
A blimp is 1600 meters high in the air and measures the angles of depression to two stadiums to the east of the blimp. if those measurements are 71.7° and 25.2°, how far apart are the two stadiums?
The two stadiums are 2,871 meters
A blimp = point A
stadium 1 = point B
stadium 2 = point C
height of the blimp , AD = 1600
depression angle of stadium 1 , ∠y = 71.7°
depression angle of stadium 2 , ∠x = 25.2°
distance between the two stadiums = d
So, it forms 2 triangles ABD and ACD,
Using the trigonometric ratios,
tan θ = Altitude / Base
DC = AD × tan (90° - x)
= 1600 × tan( 90° - 25.2° )
= 1600 × cot(25.2°)
= 1600 × 2.13
DB = AD × tan (90° - y)
= 1600 × tan( 90° - 71.7° )
= 1600 × cot(71.7°)
= 1600 × 0.33
∴ d = DC - DB
= 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]
= 2,871 meters
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The equation of a circle is x2 y2 cx dy e = 0. if the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients c, d, and e affected?
While E will increase, C and D won't change.
What is coordinate geometry?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
Due to the fact that the circle's equation is,
Nevertheless, we are aware of the circle's equation.
[tex]x^{2}+y^{2}+C x+D y+E=0[/tex]
(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)
[tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]
The following equation is compared to the generic equation above.
Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
As a result, C will be unchanged if r lowers ( because C is free from r)
D won't be effected ( because D is also free from r)
E will, however, rise if r falls.
E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
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. Rashad is conducting an experiment at his high school to see how people feel about the school dress code. 1. Explain how Rashad could collect data to ensure that it is a random sample of the population. 2. Suppose Rashad has collected his data and has organized it in the table below. Create a visual plot of the data in the table by constructing a bar graph. 3. What is the average view of the dress code? How did you come to this conclusion? 4. The dress code will be changed if more than 60% of the school feels like a change is needed. If 40% of this majority agrees on the same change, that will be what is done with the dress code. Will the dress code change? Do we know which option will occur? Be sure to explain your reasoning.
Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population.
How should Rashad proceed with the random sampling?Step 1: He should identify and decide which population he wants to study
Step 2: He should decide the size of the sample. He can do this using a sample size calculator.
Step 3: Select the Sample Randomly using:
Lottery technique; orRandom Number Technique.It is to be noted that the lottery and Random Techniques can be manual or computer simulated.
The sample bar graph for the above sample is attached.
What is the average view of the dress code?About 48 Students (boys and girls combined) indicated that the dress code is nice.13 said it wasn't nice6 on the average indicated that there were indifferent. If 40% of this majority agrees on the same change, that will be what is done with the dress code, will the dress code change?40% of 60% is not likely to catalyze a change in the needed change. A more proper percentage should be 90%.
Do we know which option will occur?Based on the figures given, 72% of the students agree that the dress code is nice (that is , it requires not change).
This means that it is highly unlikely that any changes will be made to the dress code soon.
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In two or more complete sentences, identify the parent function, and describe the transformations that were applied to
obtain the graph, f(x) = √2x+6 -1
Ileana received a statement on her certificate of deposit showing that her investment had returned $5,084 over its life. if the certificate of deposit pays a simple interest rate of 4.1% and her initial investment was $15,500, how long had the money been invested? please help me! i'm dying!
Ileana have to invest for 8 years :
What is Simple interest?Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.
How do you calculate simple interest?The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.
Given Data:Principal amount = $15,500
interest = $5,084
Time = ?
Rate = 4.1% simple interest
Solution:to find the simple interest :
I = [tex]\frac{(p*t*r)}{100}[/tex]
Then:
Time = [tex]\frac{I*100}{P*R}[/tex]
= [tex]\frac{(5084*100)}{(15500*4.1)}[/tex]
= [tex]\frac{508400}{63,550}[/tex]
= 8 years
Ileana have to invest for 8 years
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Hurrrry helpppp show your work
Answer: 17
Step-by-step explanation:
substitute -3 for a and -5 for b. the equation will be[tex]\frac{(-3)^{2}+(-5)^{2} }{-3-(-5)}[/tex]. then when you simplify, you will get [tex]\frac{9+25}{-3+5}[/tex]. finally, add and you will get [tex]\frac{34}{2}[/tex] which is 17.
What must be added to: (a) x-y + 4z to get 5x - 4y + 8z?
Answer:
4x-3y+4z
Step-by-step explanation:
There are lot's of process to answer it but i will show one easy way to find the answer.
To find the required answer we need to subtract 5x - 4y + 8z by x-y + 4z, we get
5x - 4y + 8z
-x + y - 4z [Note: while subtracting we must change the sigh that one ___________who we are subtracting]
4x-3y+4z which is a required answer
Answer:
4x - 3y + 4z
Step-by-step explanation:
Let the unknown value that we have to add be 'a'.
Let us make an expression like this.
x -y + 4z + a = 5x - 4y + 8z
Now make 'a' the subject of the equation.
a = 5x - 4y + 8z - x + y - 4z
Now combine like terms.
a = 5x - x - 4y + y + 8z - 4z
a = 4x - 3y + 4z
Now let us check whether the answer is correct or wrong.
We can replace 'a' with ( 4x - 3y + 4z ).
Let us see.
x - y + 4z + 4x - 3y + 4z
Combine like terms.
5x - 4y + 8z
Yes, we are getting the same answer!
Therefore,
we need to add 4x - 3y + 4z to get 5x - 4y + 8z to x - y + 4z.
Use 3.14 for pi. ROUND YOUR FINAL ANSWER TO THE NEAREST TENTHS PLACE!
Answer:
379.94
Step-by-step explanation:
3.14 x 11^2 = 379.94
The area of the given circle is 95 square ft.
Calculation for the Area of the Circle:
It is given in the diagram that,
The diameter of the circle, d = 11 ft.
Now, we know that the radius of a circle is equal to half of the diameter.
Therefore, radius of the given circle, r = 11/2 ft.
The formula for the area of the circle is given as follows,
A = π × r²
Substituting the values, π = 3.1, and r = 11/2, we get,
A = (3.14) × (11/2)²
A = (3.14) × 30.25
A = 94.985
A ≈ 95
Hence, the area of the given circle with diameter 11 ft. comes out to be 95 ft².
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You buy four boxes of fish sticks on sale at $1.99 per
box. The fish sticks regularly sell for $2.49 per box. Lemons are also
on sale at two for $1.00. How much money did you save by buying
the fish sticks on sale
Factor the polynomial expression 3x² + 2.
A. (√3x + √2i)(√3x - √/2i)
B. (3x + √2i)(3x - √2i)
C. (√3x + √2)(√3x - √2)
D. (√3x + i)(√√3x - i)
Answer:
[tex]\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}[/tex]
Step-by-step explanation:
Setting the expression equal to zero to find the roots,
[tex]3x^2 +2=0\\\\3x^2 =-2\\\\x^2 =-\frac{2}{3}\\\\x=\pm i\sqrt{\frac{2}{3}}[/tex]
This means that
[tex]3x^2 +2=\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}[/tex]
Compare -2 and 5. Which of the following is true?
1-21 > 151 and -2>5
1-21=151 and -2<5
1-21<151 and -2<5
1-21 > 151 and -2<5
Answer:
1-21>151 and -2>5
I think so.
Heron's Formula:
The two bases of a trapezoid are 3 and 11 and the altitude is 8. What is the area of the trapezoid? Use Heron's formula.
Answer:
√s(s-a) (s-b) (s-c)
Step-by-step explanation:
123456
herons formula
Help!!! Brainliest to 1 or 2 answer!!
Answer:
35-17=3y
Step-by-step explanation:
3y+17=35
-17 -17
3y=35-17
Find the length of the function over the given interval. y = 3x from x = 0 to x = 2
The length of the function y = 3x over the given interval [0, 2] is 3.2 units
For given question,
We have been given a function y = 3x
We need to find the length of the function on the interval x = 0 to x = 2.
Let f(x) = 3x where f(x) = y
We have f'(x) = 3, so [f'(x)]² = 9.
Then the arc length is given by,
[tex]\int\limits^a_b {\sqrt{1+[f'(x)]^2} } \, dx\\\\= \int\limits^2_0 {\sqrt{1+9} }\, dx\\\\=\sqrt{10}\\\\ =3.2[/tex]
This means, the arc length is 3.2 units.
Therefore, the length of the function y = 3x over the given interval [0, 2] is 3.2 units
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An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?
The polygon is
Answer:
a polygon with an interior angle of 108 is a pentagon
Please help me. i dont get it
Step-by-step explanation:
let's say one integer is X ....
so , Another one is (X -4).....
so , X × (X - 4) = 45
x² - 4x - 45 = 0
x² - 9x + 5x - 45 = 0
x(x - 9) +5(x - 9) = 0
(x-9) × (X+5) = 0
x-9 = 0 OR x+5 = 0
X= 9 X= -5
X is not a negative integer ......
so , X = 9
X-4 = 5 .......
A man has eight shirts, four pairs of pants, and five pairs of shoes. How many different outfits are possible
Answer:
160
Step-by-step explanation:
I multiplied the amount of each item to get to the answer:
- 8 shirts
- 4 pairs of pants
- 5 pairs of shoes
8 x 4 x 5 = 32 x 5
32 x 5 = 160
hope this helps!
Find the area of the shape.
r = 6
A=πr^2
A = 113.09734
Quarter circle formula = πr^2 / 4
113.09734 / 4 = 28.274335
113.09734 - 28.274335 = 84.824005 is the answer
(02.02)A shape is shown on the graph:
24
-5 -4 -3 -2 -1
2-
C
Á
B
A
0
0
-24
-3-
-4-
-5-
-6-
-8-
-2
Which of the following is a reflection of the shape?
Based on the shape shown on the graph, the reflection of the shape would be b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.
What shape is the reflection?The coordinate grid that the shape would be reflected across is the y axis to get a reflection in the negative side of the x axis.
The first reflection would be of the point that is (2,2). It would be reflected to become (-2, 2).
The second reflection would be of point (2, 6) which would then be reflected to become (-2, 6).
Finally the third point would be of point (4, 2) which would then become (-4, 2).
In conclusion, the reflection was across the y axis.
Options include:
a) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 4, 2 and negative 4, 6.b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.c) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 2, 4 and negative 6, 2.d) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 2, negative 4 and 6, negative 2.Find out more on reflection at https://brainly.com/question/1908648
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Which of the following quadratic graphs has only one zero?
a. y= -2x^2 -4x+8
b. y=x^2+8x+16
c. y=x^2-16
y=2x^2-8x
The quadratic graph which has only one zero among the answer choices as given in the task content is; Choice B; y=x^2+8x+16.
Which quadratic graph among the given answer choices as given in the task content has only one zero?It follows from simplification of quadratic equations in a bid to solve for their zeros by means of factorisation that;
The given quadratic equations in answer choice B can be evaluated for its zeroes as follows;
0=x²+8x+16
0 = x² +4x +4x +16
(x+4) (x+4) = 0
Hence, it follows that x = -4 is the only zero of the given quadratic graph in discuss and hence, Choice B is correct.
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Consider the sets below. u = {x | x is a real number} a = {x | x is an odd integer} r = {x | x = 3, 7, 11, 27} is r ⊂ a?
The correct option is (B) yes because all the elements of set R are in set A.
What is an element?In mathematics, an element (or member) of a set is any of the distinct things that belong to that set.Given sets:
U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}So,
A = 1, 3, 5, 7, 9, 11... are the elements of set A.R ⊂ A can be understood as R being a subset of A, i.e. all of R's elements can be found in A.Because all of the elements of R are odd integers and can be found in A, R ⊂ A is TRUE.Therefore, the correct option is (B) yes because all the elements of set R are in set A.
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The complete question is given below:
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A?
(A) yes, because all the elements of set A are in set R
(B) yes, because all the elements of set R are in set A
(C) no because each element in set A is not represented in set R
(D) no, because each element in set R is not represented in set A