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2 years ago

Evaluate the following expression for x=2 and y=1 3x+8y+10

Mathematics

1 answer:

natita [175]2 years ago

6 0

Answer:

Step-by-step explanation:

$3(2) + 8(1) + 10$
$6 + 8 + 10$
$14 + 10$
$24$

Therefore, the answer is 24.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Kallisto built a rectangular sign that measured 2 and 3/4. The width is 1 and 1/4 shorter than the length. To find the area, mul

prisoha [69]

Answer:

l = 1 5/16

w = 1/16

A = 21/16 x 1/16 = 21/256

Step-by-step explanation:

Perimeter = 11/4

l = length

w = l - 5/4

2l + 2(l - 5/4) = 11/4

2l + 2l - -5/2 = 1/4

multiply each side by 4

8l + 8l - 10 = 11

16l = 21

l = 21/16 or 1 5/16

width = 21/16 - 20/16 = 1/16

8 0

2 years ago

A florist arranges 4 flower arrangements in 92 minutes.

Black_prince [1.1K]

Answer:

$\boxed {\boxed {\sf 9 \ arrangements }}$

Step-by-step explanation:

Let's set up a proportion using the following setup:

$\frac{arrangements}{minutes} =\frac{arrangements}{minutes}$

We know that the florist can arrange 4 in 92 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}$

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}$

$\frac{4}{92} =\frac{x}{207}$

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

$207*\frac{4}{92}=\frac{x}{207}*207$

$207*\frac{4}{92}=x$

$207*0.0434782609=x$

$9=x$

The florist can arrange 9 arrangements in 207 minutes.

5 0

3 years ago

Leo made a container to store his camping gear. The container is in the shape of a rectangular prism. The container has material

Contact [7]

(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft³

(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft² → 12 ft² x 2 = 24 ft²
4 ft x 2 ft = 8 ft² → 8 ft² x 2 = 16 ft²
2 ft x 3 ft = 6 ft² → 6 ft² x 2 = 12 ft²

Surface area = 24 ft² + 16 ft² + 12 ft² = 52 ft²

4 0

3 years ago

Read 2 more answers

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an an

Svetllana [295]

Answer:

3 feet

Step-by-step explanation:

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground.

ladder is 12 foot

The ladder makes an angle of 60 degrees with the ground.

It form a right angle triangle . ladder is the hypotenuse

$cos(60)=\frac{x}{12}$

$0.5= \frac{x}{12}$

multiply 12 on both sides

x= 6

the distance from the base of the ladder to the bottom of the fence

x-3 = 6-3=3 feet

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3 years ago

Chelsea invested $5600 at a rate of 3.6% compounded quarterly. Write a compound interest function to model the situation. Then f

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2 years ago