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Bezzdna [24]
3 years ago
11

One quarter of a certain number added to one eighth of the same number is 12. What is the number​

Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

32

Step-by-step explanation:

let the number be n , then

\frac{1}{4} n + \frac{1}{8} n = 12 ( multiply through by 8 to clear the fractions )

2n + n = 96

3n = 96 ( divide both sides by 3 )

n = 32

The number is 32

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In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0
3 years ago
Read 2 more answers
The table shows a pattern of exponents.
ahrayia [7]

Answer: c. divide the previous value by 5

Step-by-step explanation:

7 0
3 years ago
Somebody help me out with this one and explain how u got it I will mark u as brainiest if correct
timofeeve [1]

Answer:

C.

Step-by-step explanation: im pretty sure because if you look at Ed its 5 and then if you add the same sides twice its 10 hopefully im right

7 0
3 years ago
If x divided by 9 = 1, how do you know what x is
padilas [110]
X/9=1

Multiply both sides by 9. So x=9.
6 0
4 years ago
Read 2 more answers
Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.
Over [174]

Answer:

y = 8(-\frac{1}{2})^x

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points (4, \frac{1}{2}) and (3, -1)

For the point (4, \frac{1}{2}),

\frac{1}{2}=a(b)^4 ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

\frac{\frac{1}{2}}{-1} = \frac{a(b)^4}{a(b)^3}

-\frac{1}{2}=b^{(4-3)}

-\frac{1}{2}=b

From equation (2)

-1 = a(-\frac{1}{2})^3

-1 = -\frac{1}{8}a

a = 8

Therefore, equation of the exponential function will be,

y = 8(-\frac{1}{2})^x

4 0
3 years ago
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