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Elena-2011 [213]

2 years ago

11

−5x + 8 ≤ −2x + 23 was solved by dividing each side of the inequality by −3 in the last step. Is there another way to solve this

inequality so that you can avoid dividing by a negative number? Explain.

1 answer:

professor190 [17]2 years ago

6 0

Answer:

x≥−5

Step-by-step explanation:

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At the zoo, there are lions, tigers, bears, and monkeys. There are 2 lions. The number of lions and the number of tigers togethe

horsena [70]

Answer:

20

Step-by-step explanation:

2 lions with 6 tigers, 4 bears and 8 monkeys

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2 years ago

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Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The si

Airida [17]

Answer:

a. ∠w and ∠v; ∠x and ∠y

Step-by-step explanation:

We can see that the scale factor is 2

<u>Corresponding sides have length of:</u>

6 and 3; 4 and 2; 3 and 1.5

<u>Therefore corresponding angles, opposite to corresponding sides are:</u>

∠x and ∠y;
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<u>Correct answer option:</u>

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2 years ago

Angharad had an operation costing $500 She was in hospital for x days The cost of nursing care was $170 for each day she was in

Ket [755]

Answer:

a) Total cost = $500 + 170x$

b) 11 days

Step-by-step explanation:

Given:

(a)

Number of days in hospital = $x$

Cost of operation = $ 500

Cost of nursing per day = $170

∴ Cost of nursing for $x$ days = $ $170x$

Therefore, the expression for total cost of her operation and nursing care is given as,

$C=500+170x$ , where $C$ is the total cost.

(b)

Given:

Total cost of operation = $C=\$ 2370$

Using the expression obtained in (a), we solve for $x$ .

$C=500+170x$

Plug in 2370 for C and solve for $x$ . This gives,

$2370=500+170x\\ 170x=2370-500\\ x=\frac{1870}{170}\\x=11$

Therefore, Angharad stayed in hospital for 11 days.

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2 years ago

A basket of beads contains 8 red beads 6 yellow beads and 6 green beads. A bead will be drawn and replaced 150 times. What is a

lbvjy [14]

To make a reasonable prediction, you can create a proportion using the ratio of green beads to total beads and make it equal to x green out of 150 trials.

<u>green</u> <u>6 </u> <u>x</u>
total 20 = 150; use cross products to solve for x green beads.

15 x 6 = 20x
<u>900 </u>= <u>20x</u>
20 20

x = 45 green

A reasonable prediction would be 45 green beads based on theoretical probability.

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2 years ago

Evaluate expression if x=2 y=3 z=4 6xz + 5xy

mamaluj [8]

Answer: 78

Step-by-step explanation:

[6 (2) (4)] + [5 (2) (3) ]
The first bracket, 6*2* = 12, 12 * 4 = 48
The second bracket, 5*2 = 10, 10 * 3 = 30
Add the answers of both brackets. 48 + 30 = 78

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2 years ago