Abdul uses 15 1/2 cups of flour to make 3 loaves of bread. At that rate, how many cups of flour would Abdul need to make 4 loaves of bread??


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Answers

Answer 1

Answer: 10 cups of flour

Step-by-step explanation:

15 1/2 cups of flour = 7 1/2 cups

7 1/2 ÷ 3 = 2 1/2

So, it takes 2 1/2 cups of flour to make one loaf of bread

If you want to make 4 loaves of bread, you multiply 2 1/2 × 4

2 1/2 × 4 = 10

It will take 10 cups of flour to make 4 loaves of bread.


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y=55 degrees x=125 degrees

Step-by-step explanation:

Question 2
Find the Total Surface Area and volume of the prism below. Round to the nearest hundredth, if necessary.
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Answer:

A= 160 in. squared

Step-by-step explanation:

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the triangles are both ratios of each other so the angles are the same

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Answer:

32 in²

Step-by-step explanation:

A= ((a+b)/2)*h

A= ((6+10)/2)*4

A=32

Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at (6, –1).
What is u + v in component form?
⟨-10, -4⟩
⟨-5, -1⟩
⟨3, 9⟩
⟨5, 3⟩

Answers

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

[tex]u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)[/tex]

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

[tex]v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)[/tex]

What is u + v in component form?

[tex]u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)[/tex]

⟨-5, -1⟩ is the answer.

Ryan has 4 rap songs, 8 country songs, and 2 rock songs.  what is the probability of Ryan picking a rock song or a Pop song

Answers

Answer:

Step-by-step explanation:

Total songs = 8 + 4 + 2 = 14 songs

number of rock songs = 2

Number of rap songs = 4

Probability of rock songs = 2/14 = 1/7

Probability of rap songs = 4/14 = 2/7

Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1

Answers

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

The solution to the matrix equation ...

  [tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]

is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.

  [tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]

Solve the right angle . Round decimal answers to the nearest tenth

Answers

9514 1404 393

Answer:

YZ = 8.5∠X = 70.5°∠Z = 19.5°

Step-by-step explanation:

There are a couple of ways to do this. We can find YZ using the Pythagorean theorem, or we can find it using trig functions.

We know from SOH CAH TOA that ...

  Cos = Adjacent/Hypotenuse

  cos(X) = 3/9 = 1/3

  X = arccos(1/3) ≈ 70.5°

Angle Z is the complement of this, so is ...

  Z = 90° -70.5° = 19.5°

__

The length of side YZ can be found from ...

  Sin = Opposite/Hypotenuse

  sin(X) = YZ/XZ

  YZ = XZ·sin(X) = 9·sin(70.5°) ≈ 8.485 ≈ 8.5

__

In summary, ...

  YZ = 8.5; ∠X = 70.5°; ∠Z = 19.5°

Find Y.
Round to the nearest tenth.

Answers

Answer:

Y ≈ 59.0°

Step-by-step explanation:

Using the Cosine rule

cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]

with x = 22, y = 20, z = 18

cosY = [tex]\frac{22^2+18^2-20^2}{2(22)(18)}[/tex]

        = [tex]\frac{484+324-400}{792}[/tex]

        = [tex]\frac{408}{792}[/tex] , then

Y = [tex]cos^{-1}[/tex] ( [tex]\frac{408}{792}[/tex] ) ≈ 59.0° ( to the nearest tenth )

What is the value of the expression below when y=2 AND z=8?
8y-z

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Answer:

Step-by-step explanation:

prove why 2,5,8,11 and 14 are not perfect squares?​

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Answer:

because there is an exact square number such as:4,9

Answer:

✓2=1.41421

✓5=2.23607

✓8=2.82842

✓11=3.31662

✓14=3.74166

Step-by-step explanation:

Therefore the numbers are increasing by three so they cant be perfect square

• A rope 75 meters long was cut into pieces that were each 1.5 meters long.
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Answers

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Question 1) x + 6 = 20
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Question 2) x - 2 = 5
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Marya has $146 in her checking account . She writes a check for $193 . What is the new balance in her checking account ?

Answers

Answer:

-$47

Step-by-step explanation:

If she has $146 in he account and we take away $193, we are left with -$47, making her in debt.

Need the Answer for this, provide an explanation.

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Answer:

D) -5x(x² + 2x + 3)

Step-by-step explanation:

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A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies. Which expression shows how many pounds of sugar the baker used?

Answers

Step-by-step explanation:

You have 6 pounds of sugar, when you set it into 3 containers, you will get:

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1 container contains 2 pounds of sugar, so he used 2 pounds of sugar.

Johnathan wants to paint the bottom of his swimming pool the color blue. the swimming pool has a diameter of 50 feet . How many square feet will Johnathan need to paint ?

Answers

Johnathan will need to paint 1,962.5 square feet.

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Answers

Answer:

$13.64

Step-by-step explanation:

you need about 1853 sheets of paper which is

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a sales clerk wants to make at least $519 . If he makes a base salary of $335 and $10.25 per hour at his part time job how many hours will he have to work?

Answers

Answer:

18 hours at least to reach the goal

Step-by-step explanation:

Well 519 is the lowest objective so lets aim for that

we can make an equation

since base pay is 335 that doesn’t change

We can make x for hours

335+10.25x ≥ 519

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38 students

Step-by-step explanation:

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1/3

Step-by-step explanation:

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Answers

Answer:

Slope = 9

Step-by-step explanation:

(-7 , -2) ;  x₁ = -7  and  y₁ = -2

(-6 , 7) ;  x₂ = -6  and y₂ = 7

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Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cup Expert Company sells personalized mugs for $22 each plus a fixed fee for $14 for shipping and tandling for the entire orderHow many personalized mugs would a customer have to purchase for the total cost of each company to be the same?

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3

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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A can of juice has a radius of 4 inches and a height of 7 inches. What is the volume of the can?
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Answers

Answer:

351.7

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

V = 3.14(4²)(7)

V = 3.14(16)(7)

V = 50.24(7)

V = 351.68

Rounded to the nearest tenth:

351.7

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