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3 years ago

Solve the inequality.

Mathematics

1 answer:

sattari [20]3 years ago

6 0

X >- 5

-2x -4 < 3x +21
+4 +4
-2x < 3x +25
-3x -3x
-5x < +25
-5x/-5 25/-5
X > -5

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Find AB Round to the nearest tenth.

zimovet [89]

19.2
To find the hypotenuse the equation would be: a^2 + b^2 = c^2.
12 squared is 144 and 15 squared is 225. Add them and you get 369. Then, square root 369 to isolate c. It'd be about 19.2

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3 years ago

Chau's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Chau $5.50 per pound, and type B

Anettt [7]

84 pounds of Type B coffee is used

Solution:

Let "x" be the pounds of type A coffee

Let "y" be the pounds of type B coffee

Cost per pound of type A = $ 5.50

Cost per pound of Type B = $ 4.20

This month, Chau made 143 pounds of the blend

x + y = 143

x = 143 - y -------- eqn 1

For a total cost of $677.30. Thus we frame a equation as:

pounds of type A coffee x Cost per pound of type A + pounds of type B coffee x Cost per pound of Type B = 677.30

$x \times 5.50 + y \times 4.20 = 677.30\\\\5.5x + 4.2y = 677.30 -------- eqn 2$

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

$5.5(143-y) +4.2y = 677.30\\\\786.5 -5.5y + 4.2y = 677.30\\\\5.5y - 4.2y = 786.5 - 677.30\\\\1.3y = 109.2\\\\Divide\ both\ sides\ by\ 1.3\\\\y = 84$

Thus 84 pounds of Type B coffee is used

8 0

3 years ago

Solve for z in the literal equation 4/3 (z + 5) = y. 3

RUDIKE [14]

Answer: Z = 0.9y - 20

_______

Step-by-step explanation: First, add (-20)/3 to both sides. Then, divide both sides by 4/3.

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4 years ago

Solve the equation. |x + 5| = 9 {–4, 14} {–14, 4} {4, 14} {–14, –4}

inna [77]

Answer:

{-14, 4}

Step-by-step explanation:

the absolute value function only makes sure that the result always has a positive sign.

so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.

so,

x + 5 = 9

x = 4

and

x + 5 = -9

x = -14

that gives us the correct set of solutions as indicated above.

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3 years ago

Select the statements that are true for the graph of y = −(x−0.5)^2+9

hram777 [196]

The graph has a minimum.

8 0

3 years ago

Read 2 more answers