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Ymorist [56]
3 years ago
14

Kristin bought a quart of yogurt for $3.80. How much does the yogurt cost per cup?

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer:

the answer is a

Step-by-step explanation:

you have to 3.80÷4=0.95

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
PLEASE HELP WITH MARK BRAINLIEST <br><br> What is the value of w?
Delicious77 [7]

Answer:

26

Step-by-step explanation :

73 - 47 = 26  brainliest?

6 0
3 years ago
Which of the following is the solution for 7 - 4x ≥ 35 ?
melamori03 [73]
There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.

7 - 4x ≥ 35
subtract 7 from both sides

-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative

x ≤ -7

CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35

ANSWER: x ≤ -7

Hope this helps! :)
7 0
3 years ago
You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with di
miskamm [114]

Answer:

None of the choices are correct.

Step-by-step explanation:

Let x be the width of the frame,

The framed art cannot me more than 320 square inches

(11 + 2x) \times (15+2x) \leq 320

(165 +30x +22x +4x^2 ) \leq 320

4x^2+52x + 165 \leq 320

4x^2 +52x + 165-320 \leq 0

4x^2 +52x - 155\leq 0

By using the quadratic formula

x = \frac{-b\pm \sqrt{(b^2-4ac)}}{2a}

x = \frac{-52\pm \sqrt{(52^2-4(4)(-155))}}{2(4)}

x = \frac{-52\pm \sqrt{(2704+2480)}}{2(4)}

x = \frac{-52\pm \sqrt{(5184)}}{2(4)}

x = \frac{-52\pm 72}{2(4)}

x = \frac{20}{8}

x= \frac{5}{2}

x = 2.5

Frame must not be more than 2.5 inches wide.

4 0
3 years ago
Please help me with the questions I have please help me with the question mark you as a brnlist
Harlamova29_29 [7]

Answer:

x = 21

Step-by-step explanation:

You can solve this problem by using similar triangles. You can tell that the two triangles are similar by AAA (since two angles are the same, the third must be too).

Now that we've established that the triangles are similar, you need to identify the corresponding sides:

12 corresponds to 28

9 corresponds to x

In order to find x, you'll need to find the scale factor, which you can find by dividing 28 by 12:

28 ÷ 12 = 7/3

Now that you know that 7/3 is the scale factor, you can multiply it by 9 to find x:

9 × 7/3 = x

x = 63/3

x = 21

4 0
2 years ago
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