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3 years ago

Which situation can be modeled by the inequality 60−15≥7 60 - 15 x ≥ 7 ?

Mathematics

1 answer:

shusha [124]3 years ago

7 0

Answer:

The answer is number 4 "You have $60 to spend on hats at the mall, but you need to save at least $7 for lunch. You plan to spend the rest on hats that cost $15 each including tax"

60-$15x refers to "you have $60 to spend on hats" and "to spend the rest on hats" while <7 for ''save at least $7 for lunch"

Step-by-step explanation:

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babunello [35]

Answer:

It's A. segment A"B" is closer to segment C than segment A"B".

Step-by-step explanation:

5 0

3 years ago

What is 10984 rounded to the nearest 10 thousand?

Gelneren [198K]

10984 rounded to the nearest thousand is 11,000

3 0

3 years ago

Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

10. Melissa has $20 to buy bagels and juice for her class. box of bagels bottle of juice 56.13, including tax $2.08, including t

adelina 88 [10]

The inequality for the maximum number of bottles of juice she can buy

6.13+ 2.08b <20.00

Option B

Given

Melissa has $20 to buy bagels and juice for her class

Box of bagels : 6.13 including tax

Bottle of juice: 2.08 including tax

She will buy only one box of bagels that is for 6.13

Let 'b' be the number of bottles of juice she can buy

Total cost should be less than 20 dollars

6.13(one bagels) +2.08(bottles of juices)<20

So the inequality becomes

$6.13+2.08b$

Learn more : brainly.com/question/1836165

4 0

2 years ago

Samantha needs 4/5 yard of fabric to make costumes for the school play. Write and solve and equation to find how many costumes s

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Samantha needs 4/5 yard of fabric to make costumes for the school play.

Let x represent the number of yards of fabric that she has

Let y represent the total number of costumes that she can make from x yards of fabric.

Since one costume require 4/5 yards of fabric, y costumes will require

x ÷ 4/5 = x×5/4 = 5x/4

The equation will be

y = 5x/4

to find how many costumes she can make with 8 yards of fabric, it becomes

y = (5×8)/4

y = 40/4 = 10

5 0

3 years ago