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2 years ago

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Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she m

ight buy. Which equations model the total yards of fabric Sophie will buy? Check all that apply.

1 answer:

Nadusha1986 [10]2 years ago

3 0

Answer:

I think the answer is A,D,E

Step-by-step explanation:

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Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9.84%, compounded eve

saw5 [17]

The correct answer for this problem is a. $39695. Hope this helps!

7 0

2 years ago

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Here are the ingredients to make 12 cupcakes.

scoundrel [369]

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

4 0

2 years ago

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

olasank [31]

We have the expression:
3x(x-12x) + 3x^2 - 2(x-2)^2

First, we will expand the power 2 bracket as follows:
3x(x-12x) + 3x^2 - 2(x^2 - 4x +4)

Then, we will get rid of the brackets as follows:
3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8

Now, we will gather the like terms and add them as follows:
-32 x^2 + 8x - 8

We can take the 8 as a common factor:
8 ( -4x^2 + x -1)

3 0

2 years ago

A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then

Marina86 [1]

Answer:

- The amount of time greater than 10.2 hours for this year.

- The $P_{value}$ is 0.01358.

Step-by-step explanation:

Given information:

mean, X = 10.2 hours

sample, n = 15

using t distribution

test statistics = 2.822

$P_{value}$ = 2 x P( $t_{n-1}$ > test statistics)

= 2 x P( $t_{15-1}$ > 2.822)

= 2 x 0.00679

= 0.01358

$P_{value}$ is less than 0.10 which indicates that the amount of time greater than 10.2 hours for this year.

5 0

2 years ago

Anna is an avid reader. Her generous grandparents gave her money for her birthday, and she decided to spend at most $150.00 on b

Effectus [21]

Answer:

The solutions for 3 questions are explained one after the other below.

Step-by-step explanation:

1).Let x be the number of paperback books that she buys, y be the number of hardback books that she buys.

for the first condition, i.e, she has decided to spend at most $150.00 on books,the required inequality will be :

$8x+12y\leq 150$

for the second condition , i.e, she wants to purchase at least 12 books,

the required inequality will be:

$x+y\geq 12$

2). the graph is in the attachment..

3). x,y are the two required solutions. where,

x =number of paperback books she buys.

y=number of hardback books she buys.

4 0

2 years ago

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