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valentinak56 [21]
2 years ago
10

If VZ=p–7 and WY=p–21, what is the value of p?

Mathematics
1 answer:
sveta [45]2 years ago
8 0

Using the midline property;

2wy = vz

2(p - 21) = p - 7

2p - 42 = p - 7

2p - p =  - 7 + 42

p = 35

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Jasmine had a carrot cake with cream cheese frosting for her birthday .she and her friend each ate 1/4 of the cake and jasmine's
zloy xaker [14]
Hey there!

To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4. 

\frac{12}{12} - \frac{1}{4} - \frac{1}{4} - \frac{1}{3}
\frac{12}{12} - \frac{3}{12} - \frac{3}{12} - \frac{4}{12}
\frac{12}{12} - \frac{10}{12} = \frac{2}{12}

It can then be concluded that each parent ate \frac{1}{12} of the cake, since there was \frac{2}{12} remaining. 

You can check this answer by adding up all of the parts we used in this problem:

\frac{3}{12} + \frac{3}{12} + \frac{4}{12} +  \frac{1}{12} +  \frac{1}{12} = \frac{12}{12}

Hope this helped you out! :-)
3 0
3 years ago
18.4b=44.16 need help fast
MaRussiya [10]

Answer:

<u>If it's 18.4b=44.16:</u> b=2.4

<u>If it's 4b=44.16:</u> b=11.04

Step-by-step explanation:

<u>If it's 18.4b=44.16:</u>

18.4b=44.16\\\\\frac{b}{18.4}=\frac{44.16}{18.4}\\\\b=2.4

<u />

<u>If it's 4b=44.16:</u>

<u />4b=44.16\\\\\frac{b}{4}=\frac{44.16}{4}\\\\b=11.04<u />

4 0
3 years ago
It is estimated that 91% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 6% of seniors suff
Fofino [41]

The probability of senior citizens suffer from sleep disorders is

P(A)=0.91

The probability of senior citizens suffer from anxiety is,0.09.

P(B)=0.09

The probability of seniors suffer from both sleep disorders and anxiety is,

P(A\cap B)=0.06

a. The probability that a senior citizen suffers from anxiety, given that he or she has a

sleep disorder.

P(A|B)=\frac{P(A\cap B)}{P(B)}P(A|B)=\frac{0.06}{0.09}P(A|B)=0.67

8 0
1 year ago
£360 is shared between Chloe and Denesh. The ratio Abby gets to the ratio Ben gets us 2:7 Chloe and denesh each get 1:5 times th
andreev551 [17]

Answer:

£210

Step-by-step explanation:

I think i just worked it out in my head

6 0
3 years ago
Read 2 more answers
For their wedding, Rajai and Carly received $1000. Their financial advisor laid out 4 different options for them to invest in. A
dolphi86 [110]

Answer:

Their best investment when they retire in 40 years would be option B.

Step-by-step explanation:

Ragai and Carly invest the $1000 received for their wedding for 40 years.

From the diagram,

In option A, the initial investment do not increase at a constant rate yearly.

In option B, the amount invested increase by $75 yearly.

In option C, the yearly increase does not have a steady value.

In option D, the amount invested increases by a n + consecutive odd values yearly. Where n is the increase of the previous year.

Their best investment when they retire in 40 years would be option B because it would yield the highest profit.

8 0
3 years ago
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