All categories

3 years ago

Need help with math question

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

7 18-inch wreaths

26 22-inch wreaths

Step-by-step explanation:

Let's say the number of 18-inch wreaths is x and the number of 22-inch wreaths is y.

We know that the number of 22-inch wreaths sold was 5 more than 3 times the number of 18-inch wreaths sold. We can write this into the expression as:

y = 5 + 3x

We also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:

20x + 25y = 790

Now, let's substitute 5 + 3x in for y in the second equation:

20x + 25y = 790

20x + 25(5 + 3x) = 790

20x + 125 + 75x = 790

95x + 125 = 790

95x = 665

x = 7

Plug this value into y = 5 + 3x to find y:

y = 5 + 3x

y = 5 + 3 * 7 = 5 + 21 = 26

So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.

You might be interested in

A triangle has side lengths of (q+r)(q+r) centimeters, (5q-10s)(5q−10s) centimeters, and (5s-7r)(5s−7r) centimeters. Which expre

Stolb23 [73]

The expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s

<h3>What is the perimeter?</h3>

The formula for perimeter of a triangle is expressed as;

Perimeter = a + b + c

Where a , b and c are the lengths of its side

(q+r)
(5q-10s)
(5s-7r)

Now, let's substitute the values

Perimeter = (q + r) + (5q - 10s) + (5s - 7r)

expand the bracket

Perimeter = q + r + 5q - 10s + 5s - 7r

collect like terms

Perimeter = q + 5q + r - 7r -10s + 5s

Add like terms

Perimeter = 6q - 6r - 5s

Thus, the expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s

Learn more about perimeter here:

brainly.com/question/24571594

#SPJ1

8 0

1 year ago

An employee’s new salary is $26.355 after getting a 5% raise. What was the salary before the increase pay?

Serga [27]

Answer:

$25.03725

Step-by-step explanation:

<u>Step 1: Multiply both sides by %5 to get the raise</u>

26.355 * %5 is same as 26.355 * 0.05

$1.31775 is the raise

<u>Step 2: Subtract the raise from the new salary</u>

26.355 - 1.31775

25.03725

Answer: $25.03725

5 0

3 years ago

What is the nth term for the sequence 5 , 14 , 29 , 50 , 77

Marina86 [1]

The answer would be 3n^2 + 2.

This can be found/proven by replacing "n" with term number (1,2,3,4...), then solving to get the final number. For example 3 * 1^2 + 2. You would first do 1^2, which is 1. Next, you would multiply 1 by 3, to get 3. Finally, you'd and the 2 to get 5. 5 is the 1st term, and you can use this same equation to get the rest of the terms you need.

I hope this helps!

8 0

2 years ago

A worker is installing blue and white square tiles in a kitchen. Blue tiles have different lengths than white tiles. A row of 8

ipn [44]

Answer:

8x + 16y = 39 and

40x + 8y = 42

Step-by-step explanation:

Let the length of the blue tiles is b inches and that of the white tiles is w inches.

So, given that a row of 8 blue tiles and 16 white tiles has a length of 39 inches and a row of 40 blue tiles and 8 white tiles has a length of 42 inches.

Therefore, we can write the system of linear equations that represents the relationship between the length if a blue tile and a white tile in inches as

8x + 16y = 39 and

40x + 8y = 42 (Answer)

4 0

2 years ago

What multiplies to -4 and adds up to 7?

devlian [24]

The two numbers are (7+ sqrt(65))/2 and (7- sqrt(65))/2

(7+ sqrt(65))/2+ (7- sqrt(65))/2= 7
(7+ sqrt(65))/2* (7- sqrt(65))/2)= -4.

Hope this helps~

6 0

2 years ago