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Savatey [412]
3 years ago
15

I am trying to figure out how to write out and solve: The first number is 5 less than the second number. Four times the first nu

mber plus 5 times the second number is 74. find the numbers
Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0
OK, I will try my best to help you out, young lad. Just kidding, I am young too!
OK, so first you have to assign variables.  
Let's make the first number = x-5
the second number is =x
Now, set up an equation
4(x-5)+5(x)=74
Use the distributive property to simplify the equation.
4x-20+5x=74
simplify the problem to find x
9x-20=74
9x=94
x=10.4 or 94/9
Now, apply the answer..
We know that the second number, x = 10.4 ( or 94/9), so the larger number is...
94/9 - 5= 49/4 of 5.4
so the answers are
first number= 5.4 (fraction form- 49/4)
second number= 10.4 (94/9)


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3 units. the line is the same length 
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3 years ago
( brainlies ) Can somebody help me with this?
Gekata [30.6K]

Answer:
(a)

Area: 930 meters(m)

Perimeter: 122 meters(m)

(b)

Area: 616 centimeters(cm)

Perimeter: 116 centimeters(cm)

(c)

Area: 1008 millimeters(mm)

Perimeter: 128 millimeters(mm)

Explanation:

Area = length x width

Perimeter = length+width+length+width

Area for (a) is then 31 times 30 = 930
Area for (b) is then 44 times 14 = 616
Area for (c) is then 36 times 28 = 1008

Perimeter for (a) is 31+30+31+30=122

Perimeter for (b) is 44+14+44+14=116

Perimeter for (c) is 36+28+36+28=128

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2 years ago
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Solve the system of linear equations by substitution.<br><br> y = 2x + 8<br> y = -2x
posledela

Answer:

(- 2, 4 )

Step-by-step explanation:

y = 2x + 8 → (1)

y = - 2x → (2)

substitute y = 2x + 8 into (2)

2x + 8 = - 2x ( add 2x to both sides )

4x + 8 = 0 ( subtract 8 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

substitute x = - 2 into (2)

y = - 2(- 2) = 4

solution is (- 2, 4 )

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Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv
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The inequality is used to solve how many hours of television Julia can still watch this week is x + 1.5 \leq 5

The remaining hours of TV Julia can watch this week can be expressed is 3.5 hours

<h3><u>Solution:</u></h3>

Given that Julia is allowed to watch no more than 5 hours of television a week

So far this week, she has watched 1.5 hours

To find: number of hours Julia can still watch this week

<em>Let "x" be the number of hours Julia can still watch television this week</em>

"no more than 5" means less than or equal to 5 ( ≤  5 )

Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours

number of hours Julia can still watch television this week + already watched ≤ Total hours Juila can watch

x + 1.5 \leq5

Thus the above inequality is used to solve how many hours of television Julia can still watch this week.

Solving the inequality,

x + 1.5 \leq5\\\\x \leq 5 - 1.5\\\\x \leq 3.5

Thus Julia still can watch Television for 3.5 hours

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