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agasfer [191]
3 years ago
8

A newsboy notices he has four times as many dimes as quarters. if his dimes and quarters total$1.95, how many of each has he?

Mathematics
1 answer:
MrRissso [65]3 years ago
4 0
D=4q
25q+10d=195
5q+2d=39

sub 4q foro d
5q+2(4q)=39
5q+8q=39
13q=39
divide 13
q=3

d=4q
d=4(3)
d=12

12 dimes
3 quarters
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1. A population with a normal distribution has a mean of 104 and standard deviation 15. A sample of 30 items is taken from that
Pie

Answer:

0.3575

Step-by-step explanation:

A population with a normal distribution has a mean of 104 and a standard deviation of 15. A sample of 30 items is taken from that population. (a) (4 points) What is the probability of the sample mean is not less than 103?

The probability of the sample mean is not less than 103 means the sample mean is equal to 103

We solve using the z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 103

μ is the population mean = 104

σ is the population standard deviation = 15

n is the random number of sample = 30

z = 103 - 104/15/√30

z = -1/2.7386127875

z = -0.36515

Probability value from Z-Table:

P(x≤ 103) = 0.3575

Therefore, the probability of the sample mean is not less than 103 is 0.3575

4 0
3 years ago
What is the equation of a line , in a slope -intercept form , that passes through (5,-3) and has a slope of 2/3? A. y-3= 2/3(x+5
zmey [24]
Ur asking for slope intercept form, but ur answer choices are in point slope form....so I am gonna find the answer in point slope form.

y - y1 = m(x - x1)
slope(m) = 2/3
(5,-3)....x1 = 5 and y1 = -3
now we sub...but pay very close attention to ur signs
y - (-3) = 2/3(x - 5) = 
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8 0
3 years ago
Write each missing number 7+2=2+
Firdavs [7]
7+2=2+6 because 7+2=8 and 2+6 is = to 8 as well
5 0
3 years ago
Read 2 more answers
Can someone pls help me / alguien me puede ayudar
user100 [1]

Answer:

The simplified expression is:

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8

Step-by-step explanation:

Given the expression

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2

\mathrm{Group\:like\:terms}

=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2

Add similar elements

=0.2y+\frac{1}{5}x-6-2

=0.2y+\frac{x}{5}-6-2

=0.2y+\frac{x}{5}-8

=0.2y+0.2x-8

Thus, the simplified expression is:

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8

6 0
3 years ago
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
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