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HACTEHA [7]
3 years ago
12

Solve the equation 8(4- x) = 7x + 2x=​

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer: x=2

Step-by-step explanation:

Expand.

32−8x=7x+2

Add 8x to both sides.

32=7x+2+8x

Simplify  7x+2+8x7x+2+8x  to  15x+215x+2.

32=15x+2

Subtract 22 from both sides.

32−2=15x

Simplify  32−2  to  30.

30=15x

Divide both sides by 15.

30/15=x

Simplify 30/15 to 2

2=x

Switch sides.

x=2

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Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete
icang [17]

Answer:Mark Is 9 years old; Christine is 5 years old

Step-by-step explanation:

Present age

LET  mark age be x

Christine be x-4 yrs

In 3 yrs Time

Mark will be x+3 yrs old

Christine  will be  (x -4 +3) = x-1 years old

Also, In 3 years time

Christine  = 2/3 Mark

such that

  x-1 = 2/3(x+3)

  x -1= 2x+6 / 3

    3x  -3= 2x+6

      3X--2X = 6+3

         =X=9

Mark Is 9 years old

Christine is   x -4 = 9-4=5 years old

5 0
3 years ago
How do you solve each absolute value by graphing
saw5 [17]
Your question answers itself. You solve by graphing.

I like to subtract one side of the equation from the other, so the solutions are where the graph crosses the x-axis (the resulting function value is zero).

It can be useful to find the "turning point" of each absolute value expression (where its value is zero) and graph that and some points on either side.
7 0
2 years ago
A software distributor charges \$41$41dollar sign, 41 per license of a particular utility. The distributor offers a 10\%10%10, p
Alchen [17]

Answer:

1558

Step-by-step explanation:

The first 202020 licenses cost full price, which is \$41$41dollar sign, 41 each. Thus, the first 202020 licenses cost a total of \$41 \cdot 20 = \$820$41⋅20=$820dollar sign, 41, dot, 20, equals, dollar sign, 820.

Hint #2

The remaining licenses have a 10\%10%10, percent discount. That means they cost 90\%90%90, percent of the full price. Let's write 90\%90%90, percent in its decimal form, 0.90.90, point, 9, in order to multiply.

\qquad 0.9 \cdot \$41 = \$36.900.9⋅$41=$36.900, point, 9, dot, dollar sign, 41, equals, dollar sign, 36, point, 90

Hint #3

There are 40 - 20 = 2040−20=2040, minus, 20, equals, 20 licenses at the reduced price of \$36.90$36.90dollar sign, 36, point, 90. Thus, the remaining 202020 licenses cost a total of \$36.90 \cdot 20 = \$738$36.90⋅20=$738dollar sign, 36, point, 90, dot, 20, equals, dollar sign, 738.

Hint #4

To find the cost for all 404040 licenses, let's add the costs of the full price and discounted licenses.

\qquad \$820 + \$738 = \$1558$820+$738=$1558dollar sign, 820, plus, dollar sign, 738, equals, dollar sign, 1558

Hint #5

The business would pay \$1558$1558dollar sign, 1558 to buy the licenses.

3 0
3 years ago
Answer part A, B and part C correctly please.
Radda [10]

Answer:

Part A:

    C= cash Sue earns

    H = hours Sue works

C is dependent upon H because C only changes when H is changed.

Part B:

(0,0)

(1,6)

Part C:

C=6H

7 0
3 years ago
Read 2 more answers
An administrator at a local high school wants to investigate whether there is an association between the grade level of a studen
Nataliya [291]

Answer:

c.

Step-by-step explanation:

The following is how the p-value should be interpreted:

The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.

Null hypothesis

\mathbf{H_o :} A student's grade level has no bearing or association on how they commute to school.

Alternative hypothesis;

\mathbf{H_1: } There is a link between a student's grade level and the way they get to school.

The test statistic's value is 14.63, and the p-value is 0.2636.

As a result, the p-value is interpreted as that of option c in the question.

5 0
3 years ago
Read 2 more answers
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