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3 years ago

Solve the inequality -2(y + 5) + 20 > 6.

Mathematics

1 answer:

Sindrei [870]3 years ago

3 0

Answer:

y < 2

Step-by-step explanation:

Given

- 2(y + 5) + 20 > 6 ← distribute and simplify left side

- 2y - 10 + 20 > 6

- 2y + 10 > 6 ( subtract 10 from both sides )

- 2y > -4

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

y < 2

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my brother and i walk the same route every day. my beother takes 40minutes to get to school and i take 30minutes to get to schoo

Goryan [66]

In 1 minute, I walk = 1/30

In 1 minute, My brother walk = 1/40

In T minutes, I walk = T*1/30

My brother walk 8 minute before = T + 8

In 1 minute, My brother walk = (T + 8)*1/40

When these two distances are same, then I will catch him.

T*(1/30) = (T + 8)*(1/40)

30*(T + 8) = 40*T

30*T + 240 = 40*T

240 = 10*T

T = 24 minutes

hence, I will catch him in 24 minutes.

Take 5 instead of 8.

My brother walk 5 minute before = T + 5

In 1 minute, My brother walk = (T + 5)*1/40

When these two distances are same, then I will catch him.

T*(1/30) = (T + 5)*(1/40)

30*(T + 5) = 40*T

30*T + 150 = 40*T

150 = 10*T

T = 15 minutes

Hence, I will catch him in 15 minutes.

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3 years ago

Luis earns a base salary of 150.00 every week with an additional 14% commission on everything he sells, luis sold 6050.00 worth

BlackZzzverrR [31]

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2 years ago

The solid shown below is made by combining two rectangular prisms. what is the volume of the solid

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2 years ago

How to do factor each expression 63 + 81

Katyanochek1 [597]

Answer:

$9(7 + 9)$

Step-by-step explanation:

To factor an expression you have to first find the highest common factor (HCF) of the numbers in the expression. You divide them by their HCF, bracket it and place the HCF outside the bracket.

$63 + 81 = \\ 9(\frac{63}{9} + \frac{81}{9}) = \\ 9(7 + 9)$

To check if it is factored properly you can do the opposite of what you just did by clearing the bracket.

9 (7 + 9)

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1 year ago

The formula for the area of a rectangle is A = lw. What

emmasim [6.3K]

Answer:

20 square units

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

In this problem

$L=WX=ZY\\W=WZ=XY$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance WX

we have

W(-3,1), X(3,3)

substitute the values in the formula

$d=\sqrt{(3-1)^{2}+(3+3)^{2}}$

$d=\sqrt{(2)^{2}+(6)^{2}}$

$d_W_X=\sqrt{40}\ units$

Find the distance XY

we have

X(3,3),Y(4,0)

substitute the values in the formula

$d=\sqrt{(0-3)^{2}+(4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(1)^{2}}$

$d_X_Y=\sqrt{10}\ units$

Find the area of rectangle

$A=(WX)(XY)$

substitute the values

$A=(\sqrt{40})(\sqrt{10})=20\ units^2$

7 0

3 years ago

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