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tankabanditka [31]
3 years ago
10

Which expression is equivalent to the expression below? (4x + 2y - z) - (x - y + 7)

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

Answer:

3x+3y−z−7

Step-by-step explanation:

"Let's simplify step-by-step.

4x+2y−z−(x−y+7)

Distribute the Negative Sign:

=4x+2y−z+−1(x−y+7)

=4x+2y+−z+−1x+−1(−y)+(−1)(7)

=4x+2y+−z+−x+y+−7

Combine Like Terms:

=4x+2y+−z+−x+y+−7

=(4x+−x)+(2y+y)+(−z)+(−7)"(Mathpapa)

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Tony took a math quiz last week. There were 80 problems on the quiz and Tony answered 70% of them correctly. How many problems d
Nutka1998 [239]

Answer:

56 problems

Step-by-step explanation:

So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.

Tony's quiz had 80 questions

Tony correctly answered 70% of them.

We can always write a percentage amount as a ratio by dividing the amount by 100.

70\% = \frac{70}{100} = 0.7.

This means that for every 100 questions, tony will respond correctly 70.

So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:

C = n*\frac{70}{100}

If n = 80 then:

C = 80 * \frac{70}{100}\\\\C = 56

7 0
3 years ago
Read 2 more answers
Compare.<br><br> 140/130 _____ 104%
Gnoma [55]

Answer:

140/130 > 104%

Step-by-step explanation:

When you convert 140/130 to a decimal, you get 1.07 which is 107%. 107% is greater than 104%, so 140/130 is > 104%

8 0
2 years ago
What are the two missing sides of the triangle ??
igor_vitrenko [27]
Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.

Givens
a = x
b = x + 4
c = 20

Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2

Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20  Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0  
2x^2 + 8x - 4 = 0         Divide through by 2
x^2 + 4x - 2 = 0

Use the quadratic formula
a = 1
b = 4
c = - 2

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} &#10; 
\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} + 4(1)(2) } }{2} &#10;

From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6)  This is an extraneous root. No line can be minus.

x1 = + 0.4495
x2 = x + 4 = 4.4495
6 0
3 years ago
Which the graph of g(x) = (0,5) x + 3 - 4
Lunna [17]

Answer:

Step-by-step explanation:

3 0
2 years ago
Simplify (-2) (-2) (-2) (-2)
kobusy [5.1K]
-2*4=-8
-8 is the correct answer
3 0
3 years ago
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