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Vladimir [108]
2 years ago
5

Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of ballo

ons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10 + 2.5 x less-than-or-equal-to 40

Which best describes the number of bags of balloons she can buy?
She can buy from 0 to 12 bags, but no more.
She can buy from 0 to 20 bags, but no more.
She must buy 12 or more bags.
She must buy 20 or more bags.
Mathematics
1 answer:
VARVARA [1.3K]2 years ago
4 0

Answer:

Ling can buy 12 bags of balloons, but no more.

A

Step-by-step explanation:

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What is the surface area of this figure?
disa [49]

Answer:

72 sq. mi

Step-by-step explanation:

Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.

Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.

Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.

7 0
3 years ago
Read 2 more answers
Maggie buys 5 apples and 4 oranges for $10 and Lynn buys 5 apples and 5 oranges for $11. What is the price for an apple and what
nlexa [21]
Make 2 eqn, let a be apples and o be oranges:

1. 5a + 4o = 10
2. 5a + 5o = 11

set up an elimination:
1. minus 2.
5a + 4o = 10
- 5a + 5o = 11
____________
o = 1

sub “o” into one of the eqn

5a + 5(1) = 11
5a = 11-5
5a = 6
a = 6/5
a = 1.2

therefore, an orange costs $1.00 and an apple costs $1.20

6 0
3 years ago
Here’s Question three
Hitman42 [59]

Answer:

BD = 3 units

Step-by-step explanation:

Since, AD is an angle bisector of ∠BAC,

m∠BAD = m∠CAD = 20°

CD = 3 units

In ΔACD and ΔABD,

m∠BAD = m∠CAD = 20° (Given)

AD ≅ AD [Reflexive property]

Therefore, by H-A property of congruence both the triangles will be congruent.

And by CPCTC,

CD ≅ BD = 3 units

5 0
3 years ago
Jane wants to pick out an outfit for the school dance . She can choose from 3 pairs of pants 5 shirts and 2 pairs of shoes . How
Alina [70]

Answer:

30

Step-by-step explanation:

we multiply each number. There are 3 pairs of pants 5 shirts and 2 pairs of shoes, so we multiply 3x5x2 to get 30

She should pick out this outfit...

3 0
2 years ago
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measure SL 42,000 ft
horsena [70]

Answer:

a= 200

b = 210

Step-by-step explanation:

My assumption is, we have to find the length of sides of rectangle

Given

perimeter = 2a + 2b = 820 ft (i) (here a is smaller side and b is larger side)

area = a*b = 42,000 ft^2 (ii)

from eq (1)

2a + 2b = 820

=> 2(a+b) = 820

=> a+b = 820/2

=> a + b = 410

=> a = 410-b   (iii)

putting the value of a in eq(ii), we get

(410-b) *b = 42,000

410b - b^2 = 42,000

0 = b^2 - 410b + 42000

b^2 - 410b + 42000 = 0

b^2- 200b- 210b + 42000 = 0

b(b-200)-210(b-200) = 0

(b-200)(b-210) = 0

or

b= 210 and b = 200

if b is larger side than b =210

By putting value of b in eq(iii),

a = 410 -210 = 200

 

6 0
3 years ago
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