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3 years ago

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Find three consecutive integers whose sum is 558

1 answer:

SIZIF [17.4K]3 years ago

8 0

Those are 185, 186 and 187

What you do is create this system of equations:

x+y+z=558 (three integers add up to 558)
x+1=y (they are consecutive, so that is translated as a number+1)
y+1=z (same logic as before)

And then you just resolve that system.

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please answer this with an explanation since my homework requires it thanks and I really appreciate it

cricket20 [7]

Answer:

<h2>D. 10</h2>

Step-by-step explanation:

There are 5 students in each scenario, so we just add 5 and 5 together. The answer is 10.

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2 years ago

Read 2 more answers

Please help quickly as possible please

zheka24 [161]

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2 years ago

Fraz is running a science fair experiment where mice run through a maze with 4 turns. At each turn, the mouse can take a right o

kherson [118]

Answer:

the probability is 0.125

Step-by-step explanation:

The number of ways in which the mouse can move in the 4 turns is calculated using the rule of multiplication as:

<u> 2 </u>* <u> 2 </u> * <u> 2 </u>* <u> 2 </u> = 16

1st turn 2nd turn 3rd turn 4th turn

Because the mouse can take two options at every turn, right or left.

Now, from the 16 possibilities of movements, a mouse will find an exit in just two options:

1. right-right-left-left

2. left-right-right-left

So, the probability that a mouse will find an exit is:

$P=\frac{2}{16}=0.125$

Because, there are 16 possibilities and a mouse will find an exit using 2 of them.

3 0

2 years ago

Richard was earning $10/hr working for Diane’s landscaping company. Diane said that productivity was decreasing, so everyone had

pentagon [3]

Answer:

Richard is making $9.6 per hour now

Step-by-step explanation:

Given:

Initial amount Richard was earning = $10/hr

Due to lass in productivity 20% pay was cut

Amount Richard was earning after 20% pay cut = $8/hour.

After few again due to increase in productivity Diane gave a 20% raise.

To Find:

How much is Richard making now = ?

Solution:

Let the amount that Richard is making now be x

Then

x = 8+ 20% of 8

x = $8 + \frac{20}{100} \times 8$

x = $8 + 0.2 \times 8$

x = $8 + 1.6$

x = 9.6

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2 years ago

Write an equation that can be used to solve the problem. Then answer the question asked. A group of college students are volunte

svp [43]

Answer:

Required equation : $\frac{1}{t}=\frac{1}{3}+\frac{1}{9}$

Together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

Step-by-step explanation:

It is given that Dale Horton can paint a certain room in 3 hours.

One hour woks of Dale Horton = 1/3

Kathy Garcia can paint the same room in 9 hours.

One hour woks of Kathy Garcia = 1/9

Let together they can paint the same room in t hours.

One hour woks of both = 1/t

$\frac{1}{t}=\frac{1}{3}+\frac{1}{9}$

$\frac{1}{t}=\frac{3+1}{9}$

$\frac{1}{t}=\frac{4}{9}$

After reciprocal we get

$\frac{t}{1}=\frac{9}{4}$

$t=2.25$

1 hour = 60 minutes.

0.25 hour = 15 minutes.

Therefore, together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

4 0

2 years ago