All categories

3 years ago

Amanda, Boris, and Jose sent a total of 124 text messages during the weekend. Amanda sent 8 fewer messages than Jose

Mathematics

1 answer:

GrogVix [38]3 years ago

7 0

Answer:

Amanda= 14

Boris = 88

Jose= 22

Step-by-step explanation:

Amanda= jose-8

Boris = 4×jose

Jose= Jose

total all = 124

(jose-8)+(jose×4)+(jose)= 124

so we substitute jose with X .

(X-8)+(4X)+(X)=124

6X-8= 124.

6X=124+8

X=132/6

X= 22.

so that total jose is 22, minus 8 we get Amanda, times 4 we get Boris.

You might be interested in

One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the

Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables. Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68. Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

8 0

3 years ago

Which value of x makes the equation<br> -5x = -35 true?

WITCHER [35]

X=7 cause -5(7) = -35

4 0

2 years ago

Find the length of each side of a square plot having 172m.

Kisachek [45]

Is 172 the area or perimeter.

8 0

3 years ago

Given the equation square root of quantity 2x plus 8 end quantity equals 6, solve for x and identify if it is an extraneous solu

Alex_Xolod [135]

Answer:

Solution: x = 6

Step-by-step explanation:

Given equation is:

$\sqrt{2x+8}=6$

In order to solve the equation both sides will be squared

$(\sqrt{2x+8})^{2} = (6)^2 \\2x+8 = 36\\2x = 36-8\\2x = 28\\x = 14$

Verifying the solution

$\sqrt{2(14)+8} = 6\\ \sqrt{28+8} = 6\\\sqrt{36} = 6\\6 = 6$

3 0

3 years ago

Read 2 more answers

Which are true?

Tanzania [10]

Answers:

True. All states have a different approach to collecting revenue, which is money they spend on government programs. Most states have income taxes, but a state like Florida doesn't have income taxes. Instead they rely on sales taxes and property taxes. The general rule is that if one tax is missing, then chances are the other tax rates are higher to make up the lack of funds (that the missing taxes would provide).
False. States vary in sales tax rates. For instance, Alabama's sales tax is 4% while Arkansas is 6.5%
True. You can do an online search of "states without sales tax" to find sources to help confirm this. Keep in mind that while the state overall does not impose sales tax, this does not mean the city and/or county governments won't impose sales tax. Unfortunately it's hard to escape taxes and sales tax is just one of those inevitable things.
True. As mentioned in problem 3, local governments (city and/or county) tend to impose taxes of their own on top of state sales taxes. Sales taxes fund state programs while local taxes fund local programs. Though some local government programs will use state or federal dollars.

6 0

3 years ago