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viva [34]
4 years ago
15

Drag the tiles to the correct boxes to complete the pairs.

Mathematics
1 answer:
sineoko [7]4 years ago
3 0

Answer:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21 %

Step-by-step explanation:

The given table represents the following:

Hatchbacks that run on Gasoline = 18

Hatchbacks that run on Diesel = 5

Total number of hatchbacks = 23

Sedan that run on Gasoline = 15

Sedans that run on Diesel = 12

Total number of sedans = 27

SUVs that run on Gasoline = 3

SUVs that run on Diesel = 7

Total number of SUVs = 23

Total number of gasoline vehicles = 36

Total number of Diesel vehicles = 24

To find:

the percentage of hatchbacks that run on gasoline

the percentage of diesel vehicles that are hatchbacks

Solution:

\text{Percentage of hatchbacks that run on gasoline = } \dfrac{\text{Number of hatchbacks on gasoline}}{\text{Total number of hatchbacks}}\times 100\\\Rightarrow \text{Percentage of hatchbacks that run on gasoline = } \dfrac{18}{23}\times 100 \approx 78\%

\text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{\text{Number of hatchbacks that run on diesel}}{\text{Total number of diesel vehicles}}\times 100\\\Rightarrow \text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{5}{24}\times 100 \approx 21\%

So, the answer is:

The percentage of hatchbacks that run on gasoline: <em>78%</em>

The percentage of diesel vehicles that are hatchbacks: <em>21%</em>

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Yuki888 [10]
30)
a)
We have to calculate the highest common factor (HCF) of 21 and 36.
21=3*7
36=2² * 3²
HCF (21,36)=3.
Therefore: the length of the side of the largest pieces into which Juanita and Samuel can cut the pizza must be 3 inches.
Answer:3 inches.

b)
Area (pizza)=21 in * 36 in=756 in²
Area (0ne piece of pizza)=3 in * 3 in=9 in².

number of pieces of pizza=Area pizza / area of one piece of pizza.
number of pieces of pizzas=756 in²/ 9 (in²/piece)=84 pieces.

answer=84 pieces. 

31)
x=number
-x=opposite of number "x"

The opposite of a number sometimes will be greater than the number itself.
if we have a negative number, the opposite of this number will be greater than the negative number.
Example:
x=-10
the opposite of -10 is 10
therefore: 10>-10

If we have a positive number, the opposite of this number will not be greater than the positive number.
Example:
x=10
the opposite of 10 is -10
Therefore: -10<10



8 0
3 years ago
Find f(g(x)) and g(f(x)) 1. F(x) = X²-3x+1 g(x)=5x-7
Mariana [72]

We are given the following functions

\begin{gathered} f(x)=x^2-3x+1 \\ g(x)=5x-7 \end{gathered}

Let us first find f(g(x)

Substitute x = 5x - 1 into the function f(x) and simplify

\begin{gathered} f(g(x))=(5x-7)^2-3(5x-7)+1 \\ f(g(x))=(25x^2-2\cdot5x\cdot7+49)^{}-15x+21+1 \\ f(g(x))=25x^2-70x+49^{}-15x+22 \\ f(g(x))=25x^2-70x-15x+49+22 \\ f(g(x))=25x^2-85x+71 \end{gathered}

Now let us find g(f(x))

Substitute x = x² - 3x + 1 into the function g(x) and simplify

\begin{gathered} g(f(x))=5(x^2-3x+1)-7 \\ g(f(x))=5x^2-15x+5-7 \\ g(f(x))=5x^2-15x-2 \end{gathered}

Therefore, f(g(x) and g(f(x)) are

\begin{gathered} f(g(x))=25x^2-85x+71 \\ g(f(x))=5x^2-15x-2 \end{gathered}

5 0
2 years ago
Josephine solved a quadratic equation. Her work is shown below.
mariarad [96]

Answer:

Step-by-step explanation:

hello :

5(x + 7)² = 245

(x + 7)² = 49

x=0 is solution but you have other solution -14 because :(-14+7)² = (-7)² =49

here is an solution Step-by-step :

(x + 7)² = 49  means : (x + 7)² = 7²

(x + 7)² - 7²=0   use identity : a²-b² = (a-b)(a+b)

a=x+7  and b= 7

(x+7-7)(x+7+7) = 0

x(x+14)=0

x=0 or x+14=0

so : x=0 or x= -14

7 0
4 years ago
How to solve 40-4x=2|3x-10|
antiseptic1488 [7]
40-4x=2/3x-10
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8 0
4 years ago
I NEED ANSWERS ASAP!!!
natta225 [31]

Answer:

I think the answer is 3.5

Step-by-step explanation:

3 0
3 years ago
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