What is the value of x in the equation 4(2x + 10) = 0?

−5
−7
5
7

Answers

Answer 1
Answer:

Answer:

-5

Step-by-step explanation:

To Solve x we can use the product rule and multiply 4 in the the brackets:

4*(2*x+10)=0

8*x+40=0

We can move the fourty to the right hand side of the equal sign and then simplify the equation by dividing the whole expression by 8:

8*x=-40

x=-40/8=-5

The value of x is -5

Answer 2
Answer: 4(2x + 10)=0
8x + 40 = 0
8x = -40
x = -5

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The local pre-school ordered all new bicycles and tricycles for the new school year. Each bicycle and tricycle is shipped in its own box. Oddly, the manufacturer shipped all of the wheels in a separate box. If there are 16 boxes of bicycles/tricycles total and 45 wheels total, how many tricycles were ordered?please don't just put an answer i need an explanation too

Answers

there are 16 boxes total, and 45 wheels total. 

we know that each bicycle/tricycle is in it's own box. 
i'm going to use the variable "b" for bicycle and "t" for tricycle

b + t = 16 
(because b is the amount of bicycles and t is the amount of tricycles) 

now we know that there are 45 wheels total. 
there are 2 wheels for a bicycle and 3 wheels for a tricycle

2b + 3t = 45 

now we have a system of equations
b + t = 16
2b + 3t = 45 

You can solve this multiple ways, but I'm going to use substitution. 
b + t = 16 can also be written as b = 16 - t (if you subtract both sides by t) 
then we can substitute this b = 16 - t into the other equations

2(16 - t) + 3t = 45

32 - 2t + 3t = 45
32 + t = 45
t = 13 

now you can plug that back into the original equations

b + 13 = 16 
b = 3

2b + 3(13) = 45
2b + 39 = 45
2b = 6
b = 3

If you have any more questions, feel free to ask!

The midpoint of AB is M(-4,0). If the coordinates of A are (-6,4), what are the coordinates of B?

Answers

Answer:

B(-2,-4)

Step-by-step explanation:

Let coordinates of B be (x,y)

( ( - 6+ x)/(2) . (4 + y)/(2) ) = ( - 4.0) \n x = 2( - 4) + 6 \n x = - 2 \n \n y = 2(0) - 4 \n y = - 4

The relationship between the number of months and cumulative cell phone cost is represented by the scatter plot shown.Cumulative Cost
600
500
2 400
Cumulative Cell Phone Cost (dollars)
(10, 504)
(9,470)
(8,418).
(7, 361)
(6, 324)
.(5, 253)
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300
200
100+(1,55) (2, 108)
8
9
10
Number of Months
A line of best fit for this data is C = 51m + 4.4, where is the cumulative cell phone cost and m is the number of months.
Using this data, which value is the best prediction of the cumulative cell phone cost after 18 months?

Answers

Answer:

C. $940

Step-by-step explanation:

Answer:

$940

Step-by-step explanation:

A two-way frequency table is shown below that displays the relationship between pizza type and pizza crust choices. We took a sample of 110 people and recorded the following results:Thin Crust Thick Crust Stuffed Crust Total
Cheese Pizza 3 9 13 25
All-Meat Pizza 5 15 25 45
Hawaiian Pizza 2 6 32 40
Total 10 30 70 110


The restaurant is about to prepare pizza for a children's birthday party. Knowing that the party planner only wants cheese pizza, what percentage (rounded to the nearest whole percent) of the order will be for stuffed-crust pizza?

Answers

                              Thin Crust      Thick Crust      Stuffed Crust       Total
Cheese Pizza             3                       9                      13                    25
All-Meat Pizza             5                    15                       25                   45
Hawaiian Pizza           2                      6                       32                    40
Total                            10                    30                       70                  110

Cheese Pizza : 100%
Stuffed Crust: 70/110 = 0.636 x 100% = 63.6% or 64%

How are quadratic equations different from linear equations?

Answers

The fundamental difference between the linear and quadratic functions is observed in their respective graphs. A linear function is represented by a straight line and a quadratic function is represented by a curve called a parabola.

See file attached.


Jared made 12 3/4 cups of snack mix for a party.His guests ate 2/3 of the mix.How much snack mix did his guest eat?

Answers

If Jared has 12 3/4 of snack and his guests ate 2/3 of it, he will have 1/3 left
12 3/4  divide by 3 = 4 1/4