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3 years ago

Find a solution to the linear equation y=-4x+36 by filling in the boxes with a valid value of x and y

Mathematics

1 answer:

lesya [120]3 years ago

8 0

Answer:

Step-by-step explanation

grief

tail

abridge

train

remind

habitat

gate

appointment

afford

stream

cheat

reckless

mixture

favorable

cultivate

horizon

please

garbage

show

headquarters

You might be interested in

The probability rolling nine fair dice and getting an even number on all nine dice

swat32

The probability is 1/512

This is my work
So you know a die has 3 odd and 3 even so to get a even it is 1/2 chance now you have 9 die so you have to multiply 1/2 by itself 9 times so it can be represented by 1/2^9 (1/2 to the power of 9), which 1*1=1 so just look at the 2. 2^9 is 2*2*2*2*2*2*2*2*2 which is 512. So 1/512 chance they are all even.

5 0

3 years ago

Josie is making pizza dough. Complete the double number line by filling in the missing values. Then write an equation that model

coldgirl [10]

Answer:

First part:

To complete the top number line use the numbers

$1\dfrac{1}{2}$

and

$2\dfrac{1}{4}$

To complete the bottom number line use the numbers:

3, and

Second part:

The relationship between the total cups of flour, c, and number of batches n, is:

$c=\dfrac{3}{4}n$

Explanation:

Find the complete question if the file attached.

First part.

The number line on top shows the number of cups of flour, c.

Each mark corresponds to 3/4 of cups. Thus the numbers that complete the number line are:

$\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{6}{4}=\dfrac{4}{4}+\dfrac{2}{4}=1+\dfrac{1}{2}=1\dfrac{1}{2}$

$1\dfrac{1}{2}+\dfrac{3}{4}=1+\dfrac{1}{2}+\dfrac{3}{4}=\dfrac{4}{4}+\dfrac{2}{4}+\dfrac{3}{4}=\dfrac{9}{4}=\dfrac{8}{4}+\dfrac{1}{4}=2+\dfrac{1}{4}=2\dfrac{1}4}$

The the two numbers that complete the top number line are:

$1\dfrac{1}{2}$

and

$2\dfrac{1}{4}$

The bottom number line models the number of batches of dough, n.

Each mark corresponds to one unit, i.e. one batch.

Thus, the missing values are:

2 + 1 = 3, and

3 + 1 = 4.

Second part. Find the relationship between the total cups of flour, c, and number of batches n.

The relationship is indicated by the marks that are at equivalent position:

You can notice that you must multiply the number of batches, n, by 3/4 to get the number of cups of flour, c, that correspond to the same position:

For instance:

$1\times \dfrac{3}{4}=\dfrac{3}{4}$

$4\times \dfrac{3}{4}=3$

Therefore,

$c=\dfrac{3}{4}n$

5 0

3 years ago

Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9. 955% annually. Which, if any, of the f

Jlenok [28]

Melanie should take A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

<h3>What options Melanie should choose for the best deal?</h3>

It is given that

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(Eweek)=\dfrac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e,a)=1+(r(e.week))^{52} -1$

$r(e,a)=1+(0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is selected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(Emonth)=\dfrac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into an effective annual rate.

$r(e,a)=1+(r(e.month))^{12} -1$

$r(e,a)=1+(0.00786833))^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(Eweek)=\dfrac{0.09719}{4} =0.0242975$