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ioda
3 years ago
7

A container can hold no more than 80 lb. Rick fills the box with books that each weigh 2 lb and a statue that weighs 10 lb. Whic

h inequality can you use to solve for the number of books b Rick can put in the box?
Mathematics
1 answer:
Bad White [126]3 years ago
6 0
2B + 10 ≤ 80.....................
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There are 600 people in a concert hall. 2/5 of them are teenagers. 3/8 of the teenagers are girls. How many teenage girls are th
Lemur [1.5K]
There are 90 teenage girls in the concert hall.
2/5 x 600 = 240
3/8 x 240 = 90
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3 years ago
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Can someone help me with this it is system of equations and you have to find the cost of each one
Umnica [9.8K]

Answer:

1 cupcake = $3.75

1 ice-cream = $4.50

1 doughnut = $1.50

Step-by-step explanation:

2 ice-cream + 1 cup cake = $12.75 ------------ [ 1 ]

1 ice-cream + 2 doughnuts = $7.50 ------------ [ 2 ]

1 cup cake + 1 doughnut + 1 ice-cream = $9.75 ------------ [ 3 ]

From [ 1 ] :

2 ice-cream + 1 cup cake = $12.75

1 cupcake = $12.75 - 2 ice-cream

Substitute [ 1 ] into [ 3 ]:

1 cup cake + 1 doughnut + 1 ice-cream = $9.75

$12.75 - 2 ice-cream + 1 doughnut + 1 ice-cream = $9.75

1 doughnut - 1 ice-cream = -$3  ------------ [ 4 ]

[ 2 ] + [ 4 ] :

3 doughnuts = $4.75

1 doughnut = $1.50

Substitute (1 doughnut = $1.50) into [ 2] :

1 ice-cream + 2 doughnuts = $7.50

1 ice-cream + 2 x $1.50 = $7.50

1 ice-cream + $3 = $7.50

1 ice-cream = $4.50

Substitute (1 ice-cream = $4.50) into [ 1 ]:

2 ice-cream + 1 cup cake = $12.75

2 x $4.50 + 1 cup cake = $12.75

1 cupcake = $12.75 - $9

1 cupcake = $3.75

5 0
3 years ago
The length of a rectangle is 4 cm less than twice its width. The perimeter of the
myrzilka [38]

Step-by-step explanation:

Let width be x

according to question

length = 2x-4

perimeter = 58

now,

perimeter = 2(length + width)

58 = 2(x+2x-4)

58 = 6x-8

6x = 66

x = 11

putting value of x in length

2x-4

= 2 X 11 -5

= 18

hence the dimensions of the rectangle is 18 and 11

4 0
2 years ago
One Solution, Infinite Solutions, No Solution
Gnom [1K]

Answer:

options?

Step-by-step explanation:

gib options

4 0
3 years ago
Write the equation of the line with x-intercept -2 and y-intercept -1 in slope-intercept form
eduard

The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\  \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}

Now that we have both m and b. Substitute these values to the slope intercept form

\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\  \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}

5 0
1 year ago
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