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3 years ago

11

Solve the inequality for x ...-5x + 20 5a. x>5b. x 3d. x < -5

1 answer:

Alika [10]3 years ago

4 0

Answer:

a

Step-by-step explanation:

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At Bison High School, there are 16 students in English Club, 16 students in Science Club and 20 students in Math Club. Of these

Rufina [12.5K]

<span>There are 8 students in both Eng and Math.
There are 6 students in both Math and Sci.
There are 5 students in both Eng and Sci.
There are 2 in all the clubs.

Using the Venn diagram, you can determine the number of students in one club only.
There is 1 student in Eng only.
There are 4 in Math only.
There are 3 in Sci only.

The total would be 29 students in at least one of the clubs.</span>

3 0

3 years ago

(HELP ASAP PLEASE!!)

olasank [31]

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

$4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}$

We use the formula of S and insert it into the other equation:

$7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7$

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

$4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17$

We know then that Shorts are $17 each.

7 0

2 years ago

Find the measure of each of the angles. Don’t forget to label your answer

user100 [1]

Answer:

$a=125^o$

$b=55^o$

$c=55^o$

$d=55^o$

$e=125^o$

$f=55^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$(2x+25)^o=(x+75)^o$ ----> by alternate interior angles

solve for x

Group terms

$2x-x=75-25$

$x=50$

step 2

Find the measure of angle a

we know that

$a=(x+75)^o$ ----> by vertical angles

substitute the value of x

$a=(50+75)=125^o$

step 3

Find the measure of angle b

we know that

$a+b=180^o$ ----> by supplementary angles (form a linear pair)

we have

$a=125^o$

substitute

$125^o+b=180^o$

$b=180^o-125^o=55^o$

step 4

Find the measure of angle c

we know that

$c=b$ ----> by vertical angles

we have

$b=55^o$

therefore

$c=55^o$

step 5

Find the measure of angle d

we know that

$d=b$ ----> by corresponding angles

we have

$b=55^o$

therefore

$d=55^o$

step 6

Find the measure of angle e

we know that

$e=a$ ----> by alternate exterior angles

we have

$a=125^o$

therefore

$e=125^o$

step 7

Find the measure of angle f

we know that

$f=d$ ----> by vertical angles

we have

$d=55^o$

therefore

$f=55^o$

4 0

3 years ago

590 divided by 30? Please help

raketka [301]

19.6666667 is what i calculated:)

8 0

3 years ago

Read 2 more answers

Which is the correct first step in finding the area of the base of a cylinder with a volume of cubic meters and a height of 6.5

MAXImum [283]

The correct first step in finding the area of a base of a cylinder is to find the length of radius of the circular base.

4 0

3 years ago