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OleMash [197]
3 years ago
11

Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3) by letting x=3 in both expressions. What is the

value of each expression when x=3.
3 and -20
4 and 4
-20 and -20
3 and 4
Mathematics
1 answer:
Lorico [155]3 years ago
3 0

Answer:

The value of each expression when x=3 will be -20 and -20.

Step-by-step explanation:

Given the expression

-4x-8

setting x=3

= -4(3)-8

=-12-8

=-20

Given the expression

-2(x+1)-2(x+3)

setting x=3

=-2(3+1)-2(3+3)

=-2(4)-2(6)

=-8-12

=-20

so we conclude that the value of both the expressions was -20 when we substituted the value x=3.

Therefore, the value of each expression when x=3 will be -20 and -20.

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Gabriela has dinner at a cafe and the Cost of a meal is $45 because of the service she wants to give 15% tip
masha68 [24]

Answer:

$6.75 dollars

Step-by-step explanation:

6 0
3 years ago
For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know th
tigry1 [53]

Let the time spent in walking = x minutes

And the time spent in jogging = y minutes

If I walk with the speed = 0.05 miles per minute

Distance covered in walking = Speed × Time

                                                 = 0.05x miles

If I jog with the speed = 0.1 miles per minute

Distance covered in jogging = Speed × Time

                                                 = 0.1y miles

Since, screen displays the distance covered in walking and jogging = 2.5 miles

Equation for the situation will be,

0.05x + 0.1y = 2.5

5x + 10y = 250

x + 2y = 50 -------(1)

Total time spent in walking and jogging = 30 minutes

Therefore, equation for the situation will be,

x + y = 30 ----- (2)

By subtracting equation (2) from equation (1),

(x + 2y) - (x + y) = 50 - 30

y = 20 minutes

By substituting the value of y in equation (2),

x + 20 = 30

x = 10 minutes

Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.

Learn more,

brainly.com/question/17412056

5 0
2 years ago
412 students were surveyed about their preferences of sports. 115 students like football, 100 students like baseball, and 45 stu
Damm [24]

Answer: 242 students do not like football or baseball

Step-by-step explanation:

The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.

If 45 students like both sports, then the number of students that like football only would be

115 - 45 = 70

Also, the number of students that like baseball only would be

100 - 45 = 55

The number if students that like at least one of the sports is

70 + 55 + 45 = 170

Therefore, the number of students that do not like football or baseball would be

412 - 170 = 242

3 0
3 years ago
A school is preparing fruit baskets for a local nursing home. There are 162 apples, 108 oranges, and 180 bananas. If the baskets
kari74 [83]

To solve this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we obtain:

 162= (3^4)(2)

 108= (2^2)(3^3)

 180= (2^2)(3^2)(5)

 We choose the common numbers with their lowest exponent:

 M.C.D.= (2)(3^2)

 M.C.D.= 2x9

 M.C.D.= 18

 The greatest number of baskets that can be made is: 18 baskets

 To know how many apples, oranges and bananas are in each basket, we must divide the greatest number of them that can be made between the total amount of apples, oranges and bananas, as shown below:

 162/18= 9 apples

 108/18= 6 oranges

 180/18= 10 bananas

 So, there are 9 apples, 6 oranges and 10 bananas in each basket.


3 0
3 years ago
Read 2 more answers
Jason is 5 foot 11 inches tall. Amy is 63 inches tall. Who's taller and by how much 1 foot = 12 inches
jok3333 [9.3K]
Since 1 foot = 12 inches,
5 feet x 12 inches = 60 inches
Jason would be 60 inches + 11 inches tall which would = 71 inches.

71 inches is greater than 63 inches.
And 71 in -63 in= 8 in.
Therefore, Jason is taller by 8 inches
3 0
3 years ago
Read 2 more answers
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