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Ugo [173]
2 years ago
13

Find the value of two numbers if their sum is 112 and their difference is 66.

Mathematics
1 answer:
snow_lady [41]2 years ago
8 0

Answer:

x+y = 112 ........ (1)

x-y = 62............ (2)

from (1) and (2)

2x = 174

x = 174/2

x = 87

sub x = 87 in (1)

x+y = 112

87+y = 112

y = 112 - 87

y = 25

so the numbers are 87 and 25

Step-by-step explanation:

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-3y = 2x - 9; x= -3, 0, 3
astraxan [27]
1.)-3y=2* -3-9
    -3y=-6-9
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        y=5
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2.)-3y=2*0-9
    -3y=0-9
    -3y=-9
       y=3
     -3*3=-9
3.)-3y=2*3-9
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3 0
3 years ago
What is the prime factorization of the number 55?
Simora [160]

Answer:

11 if im right :)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
On Monday, it took 5 builders 3 in a half hours to build a wall.
mrs_skeptik [129]

Answer:

£83.70

Step-by-step explanation:

→ First step is to find the amount of hours it takes for one builder

We know it takes 5 builders 3\frac{1}{2} hours so 1 builder would take 5 × 3\frac{1}{2} which is \frac{35}{2} hours so it takes one builder 17.5 hours to builder a wall

→ Now we know how long one work takes we need to find out the time for 2 builders

1 builder = 17.5 hours

2 builders = 17.5 ÷ 2 = 8.75 hours

So 2 builders take 8.75 hours

→ We know that each builder is paid £9.30 for each or part hour they work so

9.30 hourly pay rate × 9 hours work of work = £83.70

Each worker will be paid £83.70

6 0
3 years ago
Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a d
Natali5045456 [20]

<em>Complete Question:</em>

<em>Katya creates handmade sets of dolls, which is sold to craft and souvenir stores. The first set of dolls has a middle diameter of 7cm and a height of 12cm.</em>

<em>Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a dilation of the first set of dolls? </em>

<em></em>

Answer:

The new set is not a dilation of the first set

Step-by-step explanation:

Given

First Set:

Height = 12cm

Diameter = 7cm

New Set:

Height = 15.6cm

Diameter = 8.75cm

Required

Determine if the new set is a dilation of the second

To do this, we pass through the following steps:

1. Divide the height of the first set by the new set

2. Divide the diameter of the first set by the new set

3. Result in (1) and (2) must be equal if the new set is a dilation of the first set

Following the steps above:

(1)

Height\ Ratio = \frac{H_2}{H_1}

Height\ Ratio = \frac{15.6}{12}

Height\ Ratio = 1.3

(2)

Diameter\ Ratio = \frac{D_2}{D_1}

Diameter\ Ratio = \frac{8.75}{7}

Diameter\ Ratio = 1.25

(3) Make comparison

The ratio in (1) does not equal the ratio in (2)

i.e.

1.3 \neq 1.25

<em>Hence, the new set is not a dilation of the first set</em>

7 0
3 years ago
2<br> (<br> 3<br> r<br> +<br> 4<br> )<br> −<br> 3<br> (<br> r<br> +<br> 1<br> )<br> =<br> 11
Slav-nsk [51]

Answer:

Kindly rewrite the question clearly.

8 0
2 years ago
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