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3 years ago

1.

Mathematics

1 answer:

Vladimir79 [104]3 years ago

7 0

Answer:

a) n = -3

Step-by-step explanation:

3.8 x 10^n = 0.0038

0.0038 = 38/10000 = 38/10^4 = 38 x 10^-4 = 3.8 x 10^-3

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Consider that x = −5 and y = −4. Which statement is true about x + y?

ivanzaharov [21]

Answer:

The sum of x and y is a rational number.

Step-by-step explanation:

-5 + -4 = -9

-9 is a rational number

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3 years ago

The width of a rectangle varies directly as it’s length. What is the perimeter of a rectangle that is 15 inches long?

hichkok12 [17]

15 x 2 + 5 x 2 = 40in

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4 years ago

Three times the square of a non-zero number is equal to nine times the number

vfiekz [6]

3 x 3^2 = 9 x 3
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27 = 27

Your number is 3

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3 years ago

Read 2 more answers

A spice store charges $2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order

Whitepunk [10]

Answer:

Part a) The expression is $3.2445x$

Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

Step-by-step explanation:

<u><em>The complete question is</em></u>

A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.

Part a) Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams

Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain

step 1

Convert grams to ounces

Remember that

$1\ oz=28\ g$

To convert grams to ounces divide by 28

$25\ g=25/28= 0.89\ oz$

The unit price is

$2.75/0.89=3.09\frac{\$}{oz}$

Let

x ----> the number of ounces of paprika

y ----> the cost of buying and shipping x ounces of paprika

5%=5/100=0.05

$y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x$

Part b) For x=2.5 oz

substitute in the equation

$y=3.2445(2.5)=\$8.11$

$\$8.11 > \$8.00$

therefore

Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

6 0

3 years ago

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

zaharov [31]

Answer:

Step-by-step explanation:

The given equation is:

$x^{2}-8x-20$

Simplifying the above equation, we get

$x^{2}-10x+2x-20$

$x(x-10)+2(x-10)$

$(x+2)(x-10)$

therefore, the equation $x^{2}-8x-20$ matches with (B) $(x+2)(x-10)$ .

The given equation is :

$x^{2}+8x-20$

Simplifying the above equation, we get

$x^{2}+10x-2x-20$

$x(x+10)-2(x+10)$

$(x-2)(x+10)$

therefore, the equation $x^{2}+8x-20$ matches with (D) $(x-2)(x+10)$

The given equation is:

$x^{2}-x-20$

Simplifying the above equation, we get

$x^{2}-5x+4x-20$

$x(x-5)+4(x-5)$

$(x+4)(x-5)$

therefore, the equation $x^{2}-x-20$ matches with (A) $(x+4)(x-5)$ .

The given equation is:

$x^{2}-9x-20$

This equation ca't be firther simplified or factorised, thus the equation $x^{2}-9x-20$ matches with (C) Prime.

7 0

3 years ago