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Mashutka [201]
3 years ago
12

The difference between 4 and the product 6x is 40

Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0
-2x is the right answer
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A textbook store sold a combined total of 219 history and chemistry textbooks in a week. The number of chemistry textbooks sold
cluponka [151]

Answer:

132 history textbooks, 87 chemistry textbooks

Step-by-step explanation:

C + H = 219\\C = H - 45\\

1. H - 45 + H = 219\\2. 2H = 264\\3. H = 132

H = 132,

C = 132 - 45 = 87

7 0
4 years ago
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Twelve students tried out for the cheerleading squad. Six students were selected. What is the ratio of the students selected to
Soloha48 [4]

Answer:

1 : 2

Step-by-step explanation:

Twelve in total tried out for the cheering squad. The students selected were only 6 so the ratio would be 6 : 12 is shortened to 1 : 2.

7 0
3 years ago
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A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides wa
lapo4ka [179]

Answer:

a) 2b = 3g

b) 3p = b

Step-by-step explanation:

Given:

Fire hydrant with a blue cap, b, provides water at a rate = 1500 gallons per min

Fire hydrant with a green cap, g, provides water at a rate = 1000 gallons per min

Fire hydrant with a purple cap, p, provides water at a rate = ½g = \frac{1}{2}*1000 = 500

a) The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

Given flow of blue hydrant, b = 500

Simplifying, we have:

b = 3*500

b = 3 * \frac{1000}{2}

Since the flow rate of green hydrant, g, is 1000, let's replace 1000 with g above.

Therefore,

b = 3 * \frac{g}{2}

b = \frac{3}{2}g

Cross multuply

2b = 3g

The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g is 2b=3g.

b) An equation to relate the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.

Given flow rate of purple hydrant, p = 500

It could also be re-written as:

\frac{3}{3} * 500

p = \frac{1500}{3}

Since the flow rate of blue hydrant, b, is 1500, let's replace 1500 with b above.

p = \frac{b}{3}

Cross multiply

3p = b

8 0
3 years ago
Paul spent 2 hours and 45 minutes working on homework if he started at 5:20 what time was it when he finished
Sedaia [141]
He'd finish at 8:05
Hope this helps :)
3 0
3 years ago
Read 2 more answers
Let f(x) be an exponential functionWhich transformations to the graph of f(x) would describe e - f(x - 3) ?
gayaneshka [121]

Look at the graph below carefully

Observe the results of shifting ={2}^{x}f(x)=2​x

​​  vertically:

The domain, (−∞,∞) remains unchanged.

When the function is shifted up 3 units to ={2}^{x}+3g(x)=2​x +3:

The y-intercept shifts up 3 units to (0,4).

The asymptote shifts up 3 units to y=3y=3.

The range becomes (3,∞).

When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 ​x​​ −3:

The y-intercept shifts down 3 units to (0,−2).

The asymptote also shifts down 3 units to y=-3y=−3.

The range becomes (−3,∞).

3 0
3 years ago
Read 2 more answers
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