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Vlad [161]
2 years ago
14

My son is seven times older than my grandson and iam 12 times older than my grandson. All of our ages added together equal 100

Mathematics
1 answer:
n200080 [17]2 years ago
5 0

Answer:

5 (grandson's age now)

35 (son's age now)

60 (father's age now)

Step-by-step explanation:

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Which equation is in standard form and represents a line with slope –1 through the point (–3, 5)?
likoan [24]
I hope this helps you


slope = -1 x'= -3 y'=5


slope. (x'-x)=y'-y


-1. (-3-x)=5-y


3+x=5-y


y=2-x

7 0
2 years ago
Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than
navik [9.2K]

10t = b - 4

12b+8t = $348

This is a system of equations. I’ll be solving through substitution.

In the first equation. solving for b (the easier variable to isolate) gives you:

b = 10t + 4

Substitute this into the second equation:

12(10t+4) +8t = 348

120t+48+8t = 348

128t = 300

t = 2.34375 —> round it to the nearest cent to get 2.34 dollars

b = 10t+4

b = 10(2.34)+4

b = 27.4 dollars

4 0
3 years ago
A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calcula
slega [8]

Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

Sale price = 80% x original price

They told us the original price = 350 AED

This means:

Sale price = 80% x 350

I think it would be easiest to change 80% into a fraction if you don't have a calculator :)

80% = \frac{80}{100}  = \frac{4}{5}

This means that the

Sale Price= \frac{4}{5} x 350 = 280 AED

6 0
3 years ago
Read 2 more answers
150 students were surveyed on how many text messages to send in a date for different devices. let X represent the number of stud
kakasveta [241]

Given that the total number of students that sent messages = 150 students

a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.

\begin{gathered} 75+x+3x+x=150 \\ x+3x+x=150-75 \\ 5x=75 \end{gathered}

Hence, the equation is

5x=75

b) Solving for x

\begin{gathered} 5x=75 \\ x=\frac{75}{5}=15 \\ \therefore x=15 \end{gathered}

Therefore, x = 15.

c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students

The total number of students that sent messages = 150students

The formula for probability is,

\text{Probability = }\frac{\text{Number of students that uses cell phone}}{\text{Total number of students}}

Hence,

P(\text{Number of students that uses cell phone)}=\frac{90}{150}=\frac{3}{5}

Therefore, the probability that a randomly chosen student uses their cell phone to send text messages ​is 3/5.

7 0
1 year ago
What is the equation of the line, in general form, that passes through the point (1,1) and has a y-intercept of 2.
guajiro [1.7K]

Answer:

<h2>x + y - 2 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept.

Put the given y-intercept b = 2 and the coordinates of the point (1, 1) to the equation:

1=1m+2            <em>subtract 2 from both sides</em>

-1=m\to m=-1

The equation of a line:

y=-1x+2\to y=-x+2

The general form of an equation of a line:

Ax+By+C=0

Convert:

y=-x+2          <em>add x to both sides</em>

x+y=2         <em>subtract 2 from both sides</em>

x+y-2=0

4 0
2 years ago
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