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liubo4ka [24]
3 years ago
12

A number, y, is five times another number, x. The sum of the two numbers is 42. Write the system of equations.

Mathematics
2 answers:
vovikov84 [41]3 years ago
5 0

Answer:

5x+x=42

6x=42

x=7

Step-by-step explanation:

svetlana [45]3 years ago
5 0

Answer:

y = 5x

x + y = 42

Step-by-step explanation:

If y is 5 times greater than x, this can be represented by y = 5x

The sum of x and y is 42, so this can be represented by x + y = 42

So, the system of equations will be:

y = 5x

x + y = 42

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440 yards times 4 laps=1760 yards
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distance=1 miles

time
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3 0
3 years ago
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Aileen purchased a box of ten juice boxes for her party. Each juice box contains eight unces of juice. At the end of the party,
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➷ 8 juice boxes were consumed, so that's 8*8=64 ounces gone. In total, there were 80 ounces, so 80-64=16.

64 ounces were consumed

16 ounces were left

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3 0
3 years ago
Need some help please?
n200080 [17]

The value of the unknown length is 24

<h3>How to determine the unknown length?</h3>

Represent the unknown length with x.

So, we have the following equivalent ratio:

30 : 30 + x = 25 : 45

Express as fraction

30/30 + x = 25/45

Simplify the fraction

30/30 + x = 5/9

Cross multiply

150 + 5x = 270

Evaluate the like terms

5x = 120

Divide by 5

x = 24

Hence, the value of the unknown length is 24

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5 0
2 years ago
Find 4 divided by 1/5 Simplify the answer and write as a whole number
Nitella [24]

Answer:

20

Step-by-step explanation:

Hope this helps! Have a great day ahead. Tell me if im wrong :)

4 0
3 years ago
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At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

290*0.70020753821=h

h=290*0.70020753821

h=203.0601860809

h\approx 203

Therefore, the building is approximately 203 feet high.

 

3 0
3 years ago
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