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deff fn [24]
3 years ago
10

Solve the following inequality. -4(1 - 5a) > -124

Mathematics
1 answer:
NemiM [27]3 years ago
8 0

Answer:

a>−6

Step-by-step explanation:

−4(1−5a)>−124

Step 1: Simplify both sides of the inequality.

20a−4>−124

Step 2: Add 4 to both sides.

20a−4+4>−124+4

20a>−120

Step 3: Divide both sides by 20.

20a/20> −120/20

a>−6

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A student was asked to rewrite using only the associative property of multiplication. Which is the correct response?
tatiyna

Given that the associative property of multiplication says that you can group the numbers in any combination, we can reorganize the expression as: 7·(10·3)=210. So the answer would be the first option.

3 0
1 year ago
PLEASE HELP ME!!!<br><br> I don't understand....<br> If possible, please explain!
gogolik [260]

Answer:

55

Step-by-step explanation:

Since this is an isosceles triangle, the angles at the bases of the identical legs must be equal

<A = <C

3x+40 =x+50

Subtract x from each side

3x-x+40 = x+50-x

2x +40 = 50

Subtract 40 from each side

2x+40-40=50-40

2x = 10

Divide each side by 2

2x/2=10/2

x = 5

We want to find <A

3x+40

3(5)+40

15+40

55

8 0
3 years ago
What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?
skad [1K]

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

3 0
3 years ago
Anyone know???? <br> help
LenKa [72]

Answer:

C

Step-by-step explanation:

The vertical line test is a test that you do by dragging a vertical straight line (pencil) across the graph diagonally

If the graph touches the line in more than 1 place at a time, it is not a function

6 0
3 years ago
The function f(r) = π determines the area of a circle in cm2, A, in terms of the radius of the circle in cm, r. a. Write a funct
ollegr [7]

Answer with Step-by-step explanation:

We are given that

a.f(r)=\pi r^2

A=\pi r^2

r^2=\frac{A}{\pi}

g(A)=r=\sqrt{\frac{A}{\pi}}

b.Radius=2.58 cm

Substitute the values in the formula and \pi=3.14

f(2.58)=3.14(2.58)^2=20.9 cm^2

Hence, the area of circle =20.9 square cm

c.Area of circle=1530 square cm

r=\sqrt{\frac{1530}{3.14}}=22.07 cm

Hence, the radius of circle=22.07 cm

c.Area of circle of radius 15.2 cm=A_1=3.14(15.2)^2=725.47 cm^2

Area of circle of radius 15.1 cm=A_2=3.14(15.1)^2=715.95 cm^2

A_1-A_2=725.47-715.95=9.52 cm^2

Hence, the area of circle whose radius is 15.2 cm is greater than the area of circle of radius 15.1 cm by 9.52 square cm .

6 0
3 years ago
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