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Olin [163]
2 years ago
13

Determine if each pair of ratios or rates is equivalent. Explain your reasoning. 288 miles on 12 gallons of fuel; 240 miles 10 g

allons of fuel
Mathematics
1 answer:
lesantik [10]2 years ago
3 0
Yes they are equivalent. This is because if you simplify each fraction : 288/12 and 240/10 they both equal 24.
\frac{288}{12}  = 24
\frac{240}{10}  = 24
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A line passes through the point (-8, 4) and has a slope of - 5/4.
Bad White [126]

Answer:

Point-slope equation is

y-y1 = m(x-x1)

m is a slope, m=5/4

y1 = -5, x1 = 8

Point-slope equation is

y+5 = 5/4(x - 8).

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Someone can help me with this please​
Marina CMI [18]

Answer:

x = -1 and x = 7

Step-by-step explanation:

2x^2 + 2x - 14x - 14

2x^2 - 12x -14

Divide through by 2 to simplify the expression

x^2 - 6x - 7

x^2 - 6x -7

Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7

Yes! It's -7 and +1

-7 + 1 = -6 , and -7* 1 = -7

Now, lets substitute these numbers in the expression

x^2 -7x + x - 7

factorize

x(x - 7) + 1(x - 7)

(x + 1) (x - 7)

Now equate to zero

(x + 1) (x - 7) = 0

x + 1 = 0

subtract 1 from both sides

x +1 - 1 = 0 -1

x = -1

Also,

x - 7 = 0

Add 7 to both sides

x -7 + 7 = 0 + 7

x = 7

Hence, x = -1 and x =7

6 0
3 years ago
12. Find the measure of each interior angle of triangle QRT.
Veseljchak [2.6K]

Answer:

\angle QRT=125.6\°

\angle RTQ=6.4\°

\angle TQR=48\°

Step-by-step explanation:

It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this case we can idenfity that the angle 17x is an exterior angle of the triangle QRT. Then:

17x=\angle RTQ+\angle TQR

Where:

\angle RTQ=2x\\\\\angle TQR=48\°

Substituting values and solving for "x", we get:

17x=2x+48\\\\17x-2x=48\\\\15x=48\\\\x=3.2

Then:

17x=17(3.2)=54.4\°\\\\\\\angle RTQ=2(3.2)=6.4\°

The sum of the interior angles of a triangle is 180°, therefore:

\angle QRT+\angle RTQ+\angle TQR=180

Solving for \angle QRT, we get:

\angle QRT=180-48-6.4=125.6\°

8 0
3 years ago
Find the first five terms of the sequence given by a 1 = 2, a n = 3 a n -1 - 1.
lara31 [8.8K]

Answer:

2, 5, 14, 41, 122

Step-by-step explanation:

Using the recursive rule with a₁ = 2

a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5

a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14

a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41

a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

The first 5 terms are 2, 5, 14, 41, 122

8 0
2 years ago
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Which expression is equivalent to 1/3?
taurus [48]

Answer:

C) 1/6y+1/6(y+12)-2

Step-by-step explanation:

5 0
2 years ago
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