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3 years ago

What is the answer of this equation [x+3]<4

Mathematics

1 answer:

mariarad [96]3 years ago

5 0

Answer:

x<1 x>-7

Step-by-step explanation:

|x+3|<4

We know x+3<4 and x+3>−4

x+3<4 (Condition 1)

x+3−3<4−3 (Subtract 3 from both sides)

x<1

x+3>−4 (Condition 2)

x+3−3>−4−3 (Subtract 3 from both sides)

x>−7

Answer:

x<1 and x>−7

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franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are ther

marin [14]

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

$b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80$

Hence,

There are 60 boys and 80 girls in Franklin School.

3 0

3 years ago

Which expression are equivalent to 2x+4

Ksivusya [100]

Answer:

2(x+2)

Step-by-step explanation:

Factor out the 2.

4 0

3 years ago

Simplify (4a^m+3)^3*(1/16a^1-m)^2

Marina86 [1]

The simplified answer is 27m^2

3 0

3 years ago

6 qts equals ? pints 8 qts equals ? gallons and 48 fl oz equals ? cups

nikdorinn [45]

6 quarts equals 12 pints
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48 fl oz equals 6 cups

8 0

3 years ago

Read 2 more answers

What is the answer to the pic

MA_775_DIABLO [31]

Answer:

$7$

Step-by-step explanation:

$\frac{7^{-1}}{7^{-2}}$

$7^{-1-(-2)}$

$7^{-1+2}$

$7^{1}$

$7$

I used the following rules:

$\frac{a^m}{a^n}=a^{m-n}$

$a^1=a$

$a \neq 0$

6 0

3 years ago