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Goshia [24]
3 years ago
10

Which of the following is a correct interpretation of the expression -4 - (-7)?

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

So we have the expression:

-4-(-7)

First, simplify. Two negatives make a positive. Therefore, the -(-7) turns into +7:

-4-(-7)\\=-4+7

When adding on the number line, we move to the right.

Therefore, the correct interpretation is the value 7 digits to the <em>right</em> of -4.

D is the correct answer.

Oliga [24]3 years ago
5 0

Answer:

D.  the number that is 7 to the right of -4 on the number line

Step-by-step explanation:

interpret -4 - (-7)

=  -4 +7

therefore

the number that is 7 to the right of -4 on the number line

so its D.

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PLEASE HELP for my math class
KIM [24]

Answer:

  $134.49

Step-by-step explanation:

Multiply the rate by the salary:

  7.65% × $1758 = $134.49

Tyler's employer should deduct $134.49.

4 0
3 years ago
If x + 2y = 8, and x - y = 5, what is the value of x?
klemol [59]

Answer:

x = 6

Step-by-step explanation:

<em>Let's solve y for x + 2y = 8.</em>

x + 2y = 8

2y = -x + 8

y = -\frac{1}{2}x + 4.

<em>Let's solve y for x - y = 5.</em>

x - y = 5

y = x - 5

<em>Since both equations have been solved for y, we can combine them together into one!</em>

x - 5 = -\frac{1}{2}x + 4

x + \frac{1}{2}x = 4 + 5

1.5x = 9

x = 6

Hope this helped! If not, please let me know!

4 0
3 years ago
The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
IrinaVladis [17]

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

\dfrac{x}{x+240}=\dfrac{2}{5}

5x=2(x+240)

5x=2x+480

Subtract 2x from both sides.

5x-2x=480

3x=480

Divide both sides by 3.

x=\dfrac{480}{3}

x=160

So, the cost of shirt is $160.

Now, the cost of jacket is:

160+240=400

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

6 0
2 years ago
What is the volume of the solid if a 6 inch (diameter hole is drilled all the way
Tanzania [10]

Answer:

1,467.6 cm³

Step-by-step explanation:

Volume of the solid = volume of the rectangular prism - volume of the cylinder

= L*W*H - πr²h

L = 12

W = 10

H = 16

r = ½(6) = 3

h = 16

Plug in the values

Volume of the solid = 12*10*16 - π*3²*16

= 1,920 - 452.40

= 1,467.6 cm³

5 0
3 years ago
Given m || n, find the value of x and y
Anika [276]

Answer:

x = 16 and y = 121

Yes, its a long process.

Step-by-step explanation:

vertical angles are congruent given that: we do this

(4x-5)+(4x-5)+y+y=360

or

2(4x-5)+2y=360

divide both sides by 2

(4x-5)+y=180

distribute (there is an invisible 1 beside the parentheses of 4x-5)

4x-5+y=180

add 5 to both sides

4x+y = 185

subtract y from both sides

4x = 185-y

divide both sides by 4

x = (185-y)/4

note that (4x-5) is also EQUAL to (3x+11)

4x-5=3x+11

subtract 3x from both sides

x-5=11

add 5 to both sides

x = 16

Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360

Our equation was

x = (185-y)/4

16 = (185-y)/4

Multiply both sides by 4

64 = 185-y

Subtract 185 from both sides

-121=-y

multiply both sides by -1

121 = y

7 0
3 years ago
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