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Gekata [30.6K]
3 years ago
5

Hailey has $9 worth of nickels.

Mathematics
2 answers:
scZoUnD [109]3 years ago
5 0

Answer:

180

Step-by-step explanation:

hailey has 180 nickels

weeeeeb [17]3 years ago
5 0

Answer:

180

Step-by-step explanation:

All you would have to do is divide $9 (900) by the worth of a nickel (5) thus the equation would be 900÷5 which equals 180

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A group of 3 children and 2 adults pay a total of $121 to take a karate class. A group of 5 children and
Minchanka [31]

Answer:

The cost for a child is $7 and the cost for an adult is $50

Step-by-step explanation:

Let 'x' represent children

Let 'y' represent adults

The equations used to come to this answer are:

3x + 2y = 121 \\ 5x + 1y = 85

3x + 2y = 121 \\ 5x( - 2) + 1y( - 2) = 85( - 2) \\  \\ 3x + 2y = 121 \\  - 10x - 2y =  - 170 \\  - 7x =  - 49

Therefore; x = 7

5x + 1y = 85 \\ 5(7) + y = 85 \\ 35 + y = 85 \\ y = 85 - 35 \\ y = 50

6 0
2 years ago
If m =2 solve these 3m²-2m-7​
almond37 [142]

Answer:

1

Step-by-step explanation:

m=2

3m²- 2m- 7

3(2)² -2(2) -7

3(4)- 4- 7

12- 4- 7= 1

5 0
3 years ago
Can someone pls help me on this
Sidana [21]

CF is 7

Step-by-step explanation:

GE is 10 and they have to be equal so 10-3 is 7

6 0
3 years ago
Use the right triangular prism to find the total surface area of the prism. Leave label off answer.
9966 [12]

Step-by-step explanation:

the total surface area is the sum of the 5 individual areas in the surface :

2 triangle sides (left and right).

1 back rectangle side

1 rectangle floor

1 inclined rectangle front side

to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras

c² = a² + b²

where c is the Hypotenuse (the side opposite of the 90° angle).

c² = 3² + 4² = 9 + 16 = 25

c = 5

so, now, we have everything we need.

the area of a triangle side (since it is right-angled) :

4×3/2 = 6

2 sides, that makes 12

the area of the back side

6×3 = 18

the area of the floor

6×4 = 24

the area of the inclined front side

6×5 = 30

so, the total surface area is

12+18+24+30 = 84

4 0
2 years ago
Find the area of quadrilateral ABCD whose vertices are A(1,1) B(7,-3) C(12,2) D(7,21)
sasho [114]

Answer:

The area of quadrilateral ABCD is 139 unit^2.

Step-by-step explanation:

Given:

Quadrilateral ABCD whose vertices are A(1,1) B(7,-3) C(12,2) D(7,21).

Now, to find the area.

The coordinates of the quadrilateral are A(1,1), B(7,-3), C(12,2), D(7,21).

So, to find the area we need to bisect the quadrilateral ABCD and get the triangles ABC and ADC and then calculate their areas:

In Δ ABC:

A(x_1,y_1)=(1,1)\:,\:B(x_2,y_2)=(7,-3)\:and\:C(x_3,y_3)=(12,2)

Now, to get the area of triangle ABC:

Area\,of\,triangle\,=\,\frac{1}{2}\left|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\right|

Area\,of\,triangle\,=\,\frac{1}{2}\left|1(-3-2)+(7)(2-1)+12(1--3)\right|

Area\,of\,triangle\,=\,\frac{1}{2}\left|1(-5)+(7)(1)+12(4)\right|

On solving we get:

Area\,of\,triangle\,=25.

In Δ ADC:

A(x_1,y_1)=(1,1)\:,\:D(x_2,y_2)=(7,21)\:and\:C(x_3,y_3)=(12,2)

Now, to get the area of triangle ADC:

Area\,of\,triangle\,=\,\frac{1}{2}\left|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)\right|

Area\,of\,triangle\,=\,\frac{1}{2}\left|1(21-2)+(7)(2-1)+12(1-21)\right|

On solving it by same process as above we get:

Area\,of\,triangle\,=114

Now, to get the area of the quadrilateral we add the areas of the triangles ABC and ADC:

25+114\\=25+114\\=139\ unit^2

Therefore, area of quadrilateral ABCD is 139 unit^2.

4 0
3 years ago
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