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Murljashka [212]

3 years ago

7

A company bought New Year's greeting cards to send to its valued customers. Sixty of the cards they sent cost $2.30 each. Thirty

of the cards cost $2.75 each The remaining 34 cards cost $1.95 each. What was the total amount spent on these cards?

1 answer:

const2013 [10]3 years ago

3 0

Answer:

$287.82

Step-by-step explanation:

60 * 2.30 = 138

30 * 2.75 = 82.5

34 * 1.98 = 67.32

138 + 82.5 + 67.32 = 287.82

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Solve the following simultaneous equation using either the substitution method or the elimination method, showing all the necess

slavikrds [6]

Answer:

$x=1\frac{83}{91}\\y=-2\frac{73}{91}$

Step-by-step explanation:

#Using the method of substitution and replacement of unknown values.

Given that

$\frac{3}{2}x+\frac{2}{3}y=1...(i)\\and\\\frac{1}{6}x-\frac{3}{5}y=2...(ii)\\$

Express eqtn (ii) in terms of x

$\frac{1}{6}x=2+\frac{3}{5}y\\x=12+\frac{18}{5}y$

Replacing for x in eqtn (i)

$\frac{3}{2}(12+\frac{18}{5}y)+\frac{2}{3}y=1\\18+\frac{27}{5}y+\frac{2}{3}y=1\\18-1=-\frac{91}{15}y\\y=-2\frac{73}{91}$

Substitute y value in eqtn(ii) to obtain x

$Y=-2\frac{73}{91}\\\frac{1}{6}x-\frac{3}{5}y=2\\x=2+\frac{3}{5}(-2\frac{73}{91})\\x=1\frac{83}{91}$

4 0

3 years ago

A. 22.59<br> B. 14.34<br> C. 20.48<br> D. 10.70

REY [17]

Answer:

B. 14.34

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between the side opposite the angle of interest and the hypotenuse:

Sin = Opposite/Hypotenuse

For the given triangle, this means ...

sin(35°) = b/25

b = 25·sin(35°)

b ≈ 14.34

6 0

3 years ago

What is the answer toN/9 = 5 answer to n/9 = 5

Art [367]

<em><u>Hope</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>u</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0

3 years ago

A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

kotykmax [81]

<h3>Hello There!!</h3>

<u>Given</u>

Perimeter = (32x + 8)

<u>To </u><u>Find</u>

Length of the Patio

<u>We Know,</u>

$\text{Perimeter of Square = 4 × sides}$

$\text{ 32x + 8} = 4 \times \text{sides} \\ \\ \fbox{dividing each side with 4} \\ \\ \implies \text{( 32x} \div 4) + (8 \div 4) = \frac{4 \times \text{sides}} {4} \\ \\ \implies \text{8x + 2} = \frac{ \cancel4 \times \text{sides}} { \cancel4} \\ \\ \implies \text{sides} = \text{8x + 2}$

$\therefore \text{ Length of the Patio} = \text \red{ \underline{8x + 2 feet}}$

<h3>Hope this helps!!</h3>

6 0

2 years ago

what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?

marshall27 [118]

Solve:

"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:

disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4

x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>

8 0

3 years ago