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rewona [7]
3 years ago
11

62 strings of orange lights and 22 strings of yellow lights were used in the house each string of lights has 36 bulbs how many b

ulbs are there together
Mathematics
1 answer:
Allisa [31]3 years ago
5 0

62 + 22 = 84 total light strings.

36 bulbs/string multiplied by 84 light strings = 3,024 total light bulbs

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A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearan
Hatshy [7]

Answer: He would pay 45% of the original price.

Step-by-step explanation:

Since we have given that

Let the original price of item be 'x'

Rate mark down by 25%

Amount of marked down would be

\dfrac{25}{100}\times x\\\\=0.25x

Amount after marked down becomes

x-0.25x\\\\=0.75x

Additional clearance items by 40% off

Amount of additional off is given by

\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x

After additional off, the amount becomes,

0.75x-0.3x\\\\=0.45x

Hence, he would pay 45% of the original price.

5 0
3 years ago
Which of the following is the solution to the equation 4 / 5n = 20?
S_A_V [24]
N=25 because 20 divided by 4 is 5 which is 1/5 of n meaning 5x5 is 25
5 0
3 years ago
Consider the equation below.
Kamila [148]

Answer:

Option (1)

Step-by-step explanation:

\text{log}_4(x + 3)=\text{log}_2(2 + x)

\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}

\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}

System of equations can be written as,

y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}

y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}

Therefore, system of equations given in Option (1) is the correct option.

4 0
3 years ago
8.) A line passes through the points (k, 4) and (3, -6). The line is perpendicular to
amm1812

Answer:

K = 43

Step-by-step explanation:

We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:

5y + 4x = 8

Rearrange

5y = 8 – 4x

5y = –4x + 8

Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4

Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.

This can be obtained as follow:

For perpendicular lines, their gradient is given by:

m1 × m2 = – 1

With the above formula, we can obtain the gradient of the line as follow:

m1 × m2 = – 1

m1 = –4

–4 × m2 = – 1

Divide both side by –4

m2 = –1/–4

m2 = 1/4

Finally, we shall determine the value of k as follow:

Coordinate => (k, 4) and (3, –6)

x1 coordinate = k

y1 coordinate = 4

x2 coordinate = 3

y2 coordinate = –6

Gradient (m) = 1/4

m = (y2 – y1) / (x2 – x1)

1/4 = (–6 – 4) / (3 – K)

1/4 = –10 /(3 – K)

Cross multiply

3 – K = 4 × –10

3 – K = –40

Collect like terms

– K = – 40 –3

–k = –43

Divide both side by – 1

K = –43/–1

k = 43

3 0
3 years ago
Nico paid $15.32 for 4.3 pounds of blueberries. Nico estimated the cost per pound to be $5.00. Which statement explains Nico’s e
Pavel [41]
B.is the answer becuase 15 ÷ 3 = 5
5 0
3 years ago
Read 2 more answers
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