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Vera_Pavlovna [14]
2 years ago
10

A photograph measuring four inches wide and five inches long is enlarged to make a wall mural. if the mural is 120 inches wide,h

ow long is the mural.
Mathematics
2 answers:
sattari [20]2 years ago
6 0
If you make the measurements into proportions you can solve it.
4/5=120/x where x equals how long the mural is. cross multiply to get 600=4x and divide both sides by 4
so the mural is 150 inches long.
Harlamova29_29 [7]2 years ago
6 0

Answer:

The mural is 150 inches long

Step-by-step explanation:

We can turn this given measurements in the problem into porportions to find out the new wide that we need like this:

The relationship between the wide of the photograph and the wide of the mural can be written in a fraction like this:

\frac{4}{120}

The relationship between the length of the photograph and the length of the mural can be written in a fraction like this:

\frac{5}{x}

where x is the length of the mural.

both ratios are the same because we maintian the proportion so we can put them like this:

\frac{4}{120}=\frac{5}{x}

we solve for x

x=\frac{5*120}{4}=150

The mural is 150 inches long

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Daniel invests $2,037 in a retirement account with a fixed annual interest rate of 6% compounded 6 times per year. What will the
notka56 [123]

Answer:

\$5294.72

Step-by-step explanation:

GIVEN: Daniel invests \$2,037 in a retirement account with a fixed annual interest rate of 6\% compounded 6 times per year.

TO FIND: What will the account balance be after 16 years

SOLUTION:

Amount invested by Daniel =\$2037

Annual interest rate =6\%      

Total amount generated by compound interest is  =P(1+\frac{r}{n})^n^t

Here Principle amount P=\$2037

rate of interest r=6\%

number of times compounding done in a year n=6

total duration of time nt=16\text{ years}

putting values we get

=2037(1+\frac{6}{6\times100})^1^6

=2037(\frac{101}{100})^1^6

=\$5294.72

Hence the total balance after 16\text{ years} will be \$5294.72

4 0
2 years ago
Find the measure of angle b (image below)
IRINA_888 [86]
Angle b will be 34 degrees because angle b and the other angle that is 34 degrees are vertical angles!
5 0
3 years ago
In England, mass is measured in units called stones. One pound equals 1/14 of a stone. A cat weighs 3/4 stone. How many pounds d
Anestetic [448]
First off, mass is not measured in pounds, weight is.

But, I can still solve this for you!

1/14 * 3/4
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Hope this helps!
7 0
3 years ago
Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)
Lelu [443]

Answer:

y=-\frac{3}{10} x+\frac{1}{2} or -\frac{3}{10}

Step-by-step explanation:

first use the y2-y1/x2-x1 formula then use y=mx+b after

plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

\frac{2-(-1)}{-5-5}=

2+1=3

-5-5=-10

-\frac{3}{10} is ur slope

_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

-1=-3/10(5)+b

-3/10*5=-3/2

-1=-3/2+b

add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

hope this helps

7 0
3 years ago
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Answer:

Infinitely Many Solutions

Step-by-step explanation:

10x-6y=-8\\-10x+6y=8\\\0 = 0\\

4 0
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