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Aleksandr-060686 [28]
4 years ago
5

You have $135 in a savings account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How m

any weeks will it take for you and your friend to have the same balance?
Mathematics
1 answer:
Wewaii [24]4 years ago
5 0

Answer:

It will take 5 weeks for you and your friend to have the same balance

Step-by-step explanation:

Let

Your savings expression be

135 + 12x

Your friends savings expression

95 + 20x

Where,

x = number of weeks for you and your friend to have the same balance

Equate the two expressions

135 + 12x = 95 + 20x

Collect like terms

135 - 95 = 20x - 12x

40 = 8x

Divide both sides by 8

40/8 = x

x = 40/8

= 5

x= 5 weeks

Check

Your savings expression

135 + 12x

135 + 12(5)

=135 + 60

= $195

Your friends savings expression

95 + 20x

95 + 20(5)

= 95 + 100

= $195

Therefore, It will take 5 weeks for you and your friend to have the same balance

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which of the following sample sizes for a large number of samples taken from a a population will result in the sample means most
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The n≥30 is the general rule to approximate most populations as normal. If the population is symmetrical and resembles a normal distribution(or is actually normal), an even smaller size could be used.
4 0
4 years ago
Area of triangles and quadrilaterals
pishuonlain [190]
Formulas needed:

Square area = b^2
Rectangle area = bh
Triangle area = bh/2
Parallelogram = bh
Trapezoid area = a+b/2(h)
Rhombus area = pq/2

Even better; use online calculators.
To use these formulas, you need to substitute the values given for b,h,a,b,p or/and q and then solve to get area.

So for this example, since it's a rectangle, you use formula A = bh. Base is 5.1, and height is 6.

Substitute now.

A = bh
   = (5.1)(6)  (substitute)
   = 30.6       (multiply)

Therefore the area is 30.6 m^2. Don't forget the unit measurements, which is *measurement*^2.
5 0
3 years ago
In what line do planes A and QRV intersect?
BabaBlast [244]

Answer:

Plane A and QRV intersection line is QR.

Explanation:

The plane QRV contains the rectangle QRVN. This rectangle intersects the plane A in the line QR.

Plane A and QRV intersection line is QR.

If one knows a specific line in one plane (for example, two points in the plane), and this line intersects the other plane, then its point of intersection.

Thus, it is on the line of intersection for the two planes.


6 0
3 years ago
I just need help with this problem. Show work if possible. Thanks!
Andrew [12]

Answer:

{:}\longrightarrow\sf 2x^3+20x^2+2ax^2+20ax

{:}\longrightarrow\sf 2x^2 (x+10)+2ax (x+10)

{:}\longrightarrow\sf (x+10)2x^2+2ax

{:}\longrightarrow\sf (x+10)2x (x+a)

{:}\longrightarrow\sf 2x (x+a)(x+10)

4 0
3 years ago
A bicycle company is designing women's bicycle frames. The frames can accommodate any woman taller than 54.5 inches. Given that
ladessa [460]

Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.

<h3>What is Normal Probability Distribution?</h3>

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

z=\dfrac{x-\mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 65\ \ \sigma= 3.5

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

z=\dfrac{x-\mu}{\sigma}

z = \dfrac{54.5-65}{3.5}

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.

More can be learned about the normal distribution at brainly.com/question/27850813

#SPJ1

4 0
2 years ago
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