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3 years ago

The tax on a purchase of $20 is $2.80. How much tax will there be on a purchase of $45.50?

Mathematics

1 answer:

timofeeve [1]3 years ago

6 0

Answer:

$6.37

Step-by-step explanation:

You divide 2.80 by 20 to find the percentage of tax then you simply multiply your percentange by the cost. In this problem the tax was 14% or .14, so you multiply .14 by 45.50 to find the amount of tax on the purchase

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Combine like terms to create an equivalent expression. 2(1/5m - 2/5) + 3/5<br><br>

Alexus [3.1K]

Answer:

$\dfrac{2}{5}m-\dfrac{1}{5}$

Step-by-step explanation:

First, use the distributive property $a\cdot (b-c)=a\cdot b-a\cdot c.$ Thus,

$2\cdot \left(\dfrac{1}{5}m-\dfrac{2}{5}\right)=2\cdot \dfrac{1}{5}m-2\cdot \dfrac{2}{5}=\dfrac{2}{5}m-\dfrac{4}{5}.$

Then given expression will take look

$\dfrac{2}{5}m-\dfrac{4}{5}+\dfrac{3}{5}.$

This expression consists of three terms, one term with m and two terms without m. Combine terms without m:

$-\dfrac{4}{5}+\dfrac{3}{5}=-\dfrac{1}{5}.$

Therefore, an equivalent expression is

$\dfrac{2}{5}m-\dfrac{1}{5}.$

5 0

3 years ago

Read 2 more answers

A caterer is making cookie trays for upcoming holiday parties. This morning she mad a 4 small trays and 4 large trays, which con

Levart [38]

Your question is not complete however, I will input what is likely to complete it.

Question:

A caterer is making cookie trays for upcoming holiday parties. This morning she mad a 4 small trays and 4 large trays, which contain a total of 288 cookies. In the evening, she made 1 small tray and 3 large trays, which contain a total of 180 cookies. How many cookies do the different sized trays contain?

Answer:

Each small tray can contain 18 cookies, while each large tray can contain 54 cookies

Step-by-step explanation:

Let assign some variables by denoting S = small trays and L = large trays

In the morning; 4S +4L = 288 --eqn 1

In the evening; 1S + 3L = 180 --eqn 2

From eqn 2, S = 180 - 3L ---eqn 3

Substitute eqn 3 into eqn 1

4(180 - 3L) + 4L = 288

720 - 12L + 4L = 288

8L = 432

L = 432/8 = 54

L = 54

Substitute L = 54 into eqn 3

S = 180 - 3L

S = 180 - 3(54)

S = 180 - 162

S = 18

Therefore, each small tray can contain 18 cookies, while each large tray can contain 54 cookies.

Note:

Use this second part of this question (my framed part of the question) to complete yours. You should get your answer adequately.

4 0

3 years ago

The dashed triangle is the image of the pre-image solid triangle.

valina [46]

Answer:

Step-by-step explanation:

The solid triangle dilated to become the dashed triangle.

Compare two corresponding sides. For example, the vertical side of the solid triangle measures 3 units. The vertical side of the dashed triangle measures 12 units. 12/3 = 4. The dilation is 4. The scale factor is 4.

6 0

3 years ago

Read 2 more answers

Write a linear equation for the statement below:

liberstina [14]

Answer: y = $\frac{-19}{2} x + \frac{219}{2}$