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Crank
3 years ago
5

One number is 8 more than 1/2 of another number. The sum of the numbers is 23. What are the numbers?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

10 and 13

Step-by-step explanation:

Let the two numbers be p and q.  p = (1/2)q + 8.  p + q = 23.  Substituting (1/2)q + 8 for p, we get (1/2)q + 8 + q = 23.

First, subtract 8 from both sides, obtaining (1/2)q + q = 15.

Next, mult. all terms by 2 to eliminate the fraction (1/2):  q + 2q = 30.

Then 3q = 30, and q = 10.  Then p = (1/2)(10) + 8 = 5 + 8 = 13.

The numbers are 10 and 13.

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mary purchased 3 1/2 pounds of bananas. If the loaf of banana bread requires 3/4 pounds of bananas, how many loaves of banana br
nikklg [1K]
For this one a simple way that you can think of it is that 1 pound of banana is equivalent to 100, 3/4 pounds of banana is 75, 1/2 pounds of banana is 50, etc. 

3 1/2 pounds of banana = 350 

3/4 pounds of banana = 75 

If i want to find out how many loafs of banana bread I can make if ONE loaf requires 3/4 pounds of banana, and i have 3 1/2 pounds of banana then I divide:

350 / 75 = 4.66 

So, with 3 1/2 pounds of bananas you can successfully create 4 loafs of banana bread. the remaining .66 is not enough banana to make another loaf. 
8 0
2 years ago
Read 2 more answers
If carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make
Makovka662 [10]

Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.

<u>Step-by-step explanation:</u>

Carlos did the work as 3 x + 2 x - 6 = 24

We need to find his mistake that he made in above given.

Here, he did not add the like terms (3 x and 2 x)

             3 x + 2 x = 5 x

Therefore, his work should be

             5 x  - 6 = 24

Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be

                          5 x  - 6 = 24

                                 + 6 = + 6

                          -----------------------

                           5 x = 30

Dividing 30 by 5, we get answer as '6'. Hence,

                            x=\frac{30}{5} = 6

So, stated the above two are the mistakes found in carlos work.

4 0
3 years ago
The numbers of beads on 500 handcrafted bead
pashok25 [27]
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<span>About 24 necklaces have more than 28 beads. </span>
<span>About 48 necklaces have more than 28 beads. </span>
<span>About 80 necklaces have more than 28 beads. </span>
About 96 necklaces have more than 28 beads<span>

</span> <span>About 80 necklaces have more than 28 beads. 
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Z score is 28-24/4=1 
(1-.8413)=0.1587 

500*0.1587=79.35~80

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2 years ago
Find two acute angles that satisfy the equation sin(2x + 7) = cos(x + 23). Check that your answers make
Vera_Pavlovna [14]

Answer:

The smaller angle is 43 and the larger angle is 47

Step-by-step explanation:

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2 years ago
Solve:<br>p+ 7- 5= -10 - 3<br>please use an explanation so I know how to do this next time pleaasee​
skelet666 [1.2K]

Answer:

P = - 15

Step-by-step explanation:

P+7-5 = -10 - 3

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(If taking from one side,you must do to the other to get P alone.)

P+2 = - 13

-2 = - 2

The positive 2, minus the negative 2 cancels each other out, now we must subtract 2 from our other side. - 13 - 2 = - 15

P = -15

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3 years ago
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