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Alenkinab [10]
3 years ago
5

Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending $15 a w

eek. When will Nancy and Sam have the same amount of money? How much money will they each have? Write a system of equations that model the following situation. Define each variables with a “Let” statement, write two equations, and solve completely.
Let =


​Let =


​Nancy:



​Sam:



​

Solve, then complete the following sentence.

During week

, both Nancy and Sam will have $

in their accounts​​.​
Mathematics
1 answer:
julia-pushkina [17]3 years ago
6 0

Answer:

Step-by-step explanation:

We

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A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records
babunello [35]

Answer:

Firstly this is all about luck my predictions is impossible to be accurate

ANyways i think ther are 30 red,10 green and 60 blue

Step-by-step explanation:

7 red marbles, 2 green marbles and 11 blue marbles.

Firstly this is all about luck my predictions is impossible to be accurate

ANyways i think ther are 30 red,10 green and 60 blue

8 0
3 years ago
The Pew Internet and American Life Project reported Wednesday, April 18th that two- thirds (67%) of young adults with profiles o
dlinn [17]

Answer:

At 5% significance level, larger proportion of military personnel students protect their profiles on social-networking sites than young adults with profiles on social-networking sites.

Step-by-step explanation:

let p be the proportion of military personnel students who restrict access to their profiles. Then null and alternative hypotheses are:

H_{0}: p=0.67 (67%)

H_{a}: p>0.67

We need to calculate z-statistic of sample proportion:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of military students who restrict access to their profiles ( \frac{78}{100} =0.78)
  • p is the proportion assumed under null hypothesis. (0.67)
  • N is the sample size (100)

Then z=\frac{0.78-0.67}{\sqrt{\frac{0.67*0.33}{100} } } ≈ 2.34

The corresponding p-value is 0.0096. Since 0.0096<0.05 (significance level) we can reject the null hypothesis and conclude at 5% significance level that larger proportion of military personnel students protect their profiles on social-networking sites than young adults with profiles on social-networking sites.

3 0
3 years ago
An isosceles triangle with congruent sides of 16.2 cm and a third side half that length
Zielflug [23.3K]

Answer: option iii

The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

Explanation:

The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

First side is = 16.2 cm

Second side is = 16.2 cm

Third side = half of 16.2 = 8.1 cm


The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm

7 0
3 years ago
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5 chocolates cost $15 what will 15 chocolates cost
zaharov [31]
Im pretty sure the answer is $45.
4 0
3 years ago
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Solve the simultaneous equations<br> y = 4x + 1<br> y = 2x^2+ 7x - 1
mixer [17]

Answer:

Given,\\y = 4x+1......(1)\\y = 2x^2+7x-1.............(2)\\Equating~equation (1)~and~(2),\\4x+1 = 2x^{2} +7x-1\\or, 2x^{2}+7x-4x-1-1=0\\or, 2x^{2} + 3x-2=0\\or, 2x^{2} +4x-x-2=0\\or, 2x(x+2)-1(x+2)=0\\or, (x+2)(2x-1)=0\\i.e. x=-2 ~or~ \frac{1}{2} \\When~x=2,~equation(1)~becomes ~y=4(-2) +1=-7\\When~x=-\frac{1}{2},~equation (1)~becomes~y=4(\frac{1}{2}) +1 = 2+1=3

So, the required values of x are -2 and 1/2 and that of y are -7 and 3.

3 0
3 years ago
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