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saveliy_v [14]
3 years ago
14

Solve for x: -42 = -7x

Mathematics
2 answers:
DENIUS [597]3 years ago
5 0

Answer:

x=6

Step-by-step explanation:

-7x= -42

x= -42/-7

x=6

liberstina [14]3 years ago
3 0

Answer:

x=6

Step-by-step explanation:

-42= -7x divide -7 on both sides

6=x negatives cancel out

x=6 flip (not necessary but teachers like it this way)

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If the shorter rectangle is 1 unit long, how many units long is the longer rectangle?
Alla [95]

Answer: 2 units long

3 0
3 years ago
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From 1994 to 1995 the sales of a book decreased by 80%. If the sales in 1996 for the same as in 1994, By what percent did the in
zheka24 [161]

Answer:

400%

Step-by-step explanation:

Let the sales be "100" in 1994

Since, it decreased 80%, the sales was:

80% = 80/100 = 0.8

0.8 * 100 = 80 (decreased by 80)

So, it was

Sales in 1995: 100 - 80 = 20

Sales in 1996 was same as in 1994, so that's 100

Thus,

Sales in 1994: 100

Sales in 1995: 20

Sales in 1996: 100

We need to find percentage increase form 1995 to 1996, that is what percentage increase is from 20 to 100?

We will use the formula:

\frac{New-Old}{Old}*100

Where

New is 100

Old is 20

SO, we have:

\frac{New-Old}{Old}*100\\=\frac{100-20}{20}*100\\=4*100\\=400

So, it increased by 400%

3 0
4 years ago
a student borrows $3000 at 15% for 6 months to pay tuition. find the total amount due using simple interest. total amount due af
wolverine [178]

The total amount due after a given period of time is given by the following formula:

A=P(1+rt)

This is for simple interest. <em>A</em> is the total amount due. <em>t</em> is the period of time, <em>r</em> is the interest rate and <em>P</em> is the initial amount borrowed.

To use the formula, <em>t</em> and <em>r</em> must have the same unit of time (both in years or both in months for example). We have the yearly rate as 15%, or well, 0.15. The period is 6 months, which will be half a year, or well, 0.5 years. With this information, we can now replace the values on the formula:

\begin{gathered} A=3000\cdot(1+0.15\cdot0.5) \\ A=3225 \end{gathered}

With this, the total amount due will be $3225.

Alternatively, we can first calculate the interest due with the following formula:

I=P\cdot r\cdot t

And add this amount to the initial amount of money borrowed to estimate the total amount due.

\begin{gathered} I=3000\cdot0.15\cdot0.5 \\ I=225 \end{gathered}

After six months, the student has to pay the $3000 borrowed, plus $225 of interest:

\begin{gathered} A=3000+225 \\ A=3225 \end{gathered}

Answer. Total amount due after 6 months: $3225.

6 0
1 year ago
Please help. Given the sides of triangle GHI are as follows: GH is 4 cm; HI is 6 cm; and GI is 8 cm. The sides of another triang
My name is Ann [436]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
IM GIVING BRAINLIEST AND 100 POINTS NO JOKE. PLEASE HELP
Sav [38]

Answer:

i hope this helps

Step-by-step explanation:

if you have 100 people in the room and you interviewed all of them, (for number 6). that means that 70% of these people ate breakfast

70% of the total amount of people you interviewed is 70. That means that 70 people you interviewed, eat breakfast.

Then it also says, "of those 70% of people, 25% eat cereal"

That means 25% of those 70 people eat cereal, or 1/4 of that population does.

0.25 * 70 = 17.5. (of course you cannot have part of a person, but this is an example)

and of the 17.5 people, 30% of them eats it with extra sugar.

so 30% of 17.5 people is 5.25.

that means that there are 5.25 people who eat cereal with extra sugar.

i hope this helps, it took a while for me to try to help with this

i noticed that you made a mistake. the amount of people that eat cereal is 25% of 70% of the people. that means you have to find 0.25 of 0.7 <--- (you multiply not divide)

(0.25x 0.7) = 0.175

4 0
3 years ago
Read 2 more answers
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