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3 years ago

An item costs x dollars and then a 20% discount is applied

Mathematics

1 answer:

Marat540 [252]3 years ago

7 0

Answer:

If an item is x dollars and 20% discount is applied, the new price will be: 0.8x

Step-by-step explanation:

100 - 20%(20) = 80

80 = 80% or 0.8

So, the remaining of the price of x will be 0.8x.

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Ken wants to buy some coffee mugs, m , that cost $5 each and some ground coffee, C, that costs $8 a pound. He has $25.

ValentinkaMS [17]

The inequality representation of the scenario is :

5m + 8c ≤ 25
m = 1 and c = 1

Number of mugs = m
Cost per mug = $5
Number of ground coffee = c
Cost per ground coffee = $8
Total amount to spend = $25

(Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend

Representing as an inequality : 5m + 8c ≤ 25

Combination of m and c that makes the inequality true :

Using trial by error :
m = 1 and c = 1
5(1) + 8(1) ≤ 25 ; 13 ≤ 25

Hence, m = 1 and c =1 are valid values for the expression.

Learn more : brainly.com/question/15748955

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3 years ago

£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?

seraphim [82]

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

4 0

3 years ago

Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her bro

USPshnik [31]

The system of inequalities can model Gabrielle’s situation is;

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

<h3>Inequality</h3>

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows;

batches of brownies = x
batches of cookies = y

Brownie:

Sugar = 1 cup

Eggs = 2

Cookie:

Sugar = 3 cups

Eggs = 2

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

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2 years ago

Dana bikes 10 mi in 50 min.<br> <br> <br> <br> At this rate, how far can she bike in 90 min?

lara31 [8.8K]

The answer will be 18 miles

8 0

3 years ago

Read 2 more answers

For what value of x is sq 896z^15/225z^6 = xz^4/15

Ratling [72]

Answer:

Value of x is, 8

Step-by-step explanation:

Given: $\sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z}$ ,.....[1]

To find the value of x:

Using exponent rules:

$(a^n)^m = a^{nm}$

$a^n \cdot a^m = a^{n+m}$

Taking square both sides in [1] we have;

$\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)$

Simplify:

$\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)$

$\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}$

Multiply both sides by $\frac{225}{14z^9}$ we get;

$x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}$

Simplify:

$x^2 = \frac{896 z^{15}}{14 z^{15}} = 64$

$x = \sqrt{64}$

Simplify:

x = 8

Therefore, the value of x is, 8

5 0

3 years ago