A student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $49. How many of each type of bill does he have?
The student has $1 bills and
(Type whole numbers.)
$5 bills.

Answer:

x= -2 y = 4 z = 1/3 solve by using gauss elimination or Cramer's rule, or matrix inversion method or row equivalent matrix method

We know the following:

[tex]\text{Slope formula} = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Note: Slopes can only be determined if the lines are not vertical.

Since the x-coordinate of the points that pass through the line are the same, when the points are substituted in the slope formula, the slope will result in "undefined" (Work shown below).

[tex]\text{Slope formula} = \dfrac{12 - 5}{2 - 2}[/tex]

[tex]\text{Slope formula} = \dfrac{7}{0} = \text{unde}\text{fined} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Any non-number divided by 0 is unde}\text{fined}][/tex]

Now, let's see if the vertical line will intersect the x-axis or a y-axis.

To determine if the vertical line will intersect the x or y-axis, we must look for the intersection of the line on the x or y-axis. The vertical line will be parallel to the y-axis and will intersect the x-axis.

Therefore, the line will intersect the x-axis.

Since the line does not intersect the y-axis, the equation of the line on the left-hand side will have an x-variable.

⇒ x = ?

The x-intercept will be substituted on the right-hand side of the equation.  Since the line that passes through the two points [(2,5) and (2,12)] have the "2" as their x-coordinates, the x-intercept will also be 2. Therefore,

⇒ x = 2

Answer: 4 men to build it in 7.5 hrs

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 and 2/5

(aka A)

Answer:

a

Step-by-step explanation:

it says 3 and 2/5ths

hope this helps

sophia

Answer:

31

Step-by-step explanation:

3x + 12 and 105 are alternate exterior angles because A || B and B || C.

If the two or more lines are parallel, then the alternate exterior angles are equal.

3x + 12 = 105

Substract 12 on both sides,

3x = 105 - 12

3x = 93

Divide 3 on both sides,

x = 93 / 3

x = 31

Answer:

the answer is 97.5%

Step-by-step explanation:

Answer:

x = 79

Step-by-step explanation:

Part A:

It's stated that line p and line q are parallel, if it is so then the angle represented with w and the angle with measure 79 are alternate and their measure is equal to each other:

Part B:

Jacob likely thought angle represented with W and the angle with the measure 101 are alternate so he made a mistake and found wrong result.

Answer:

72

Step-by-step explanation:

First, we should probably break this shape down into 2 easier to work with shapes. The dimensions of these will be 4*9 and 6*6. I get 6 because when you break 4*9 off, you're also taking 4 off from the 10, giving you 6. Now just multiply and then add the area of both shapes. 4*9=36, and 6*6=36. 36+36=72, so that's your answer.

Hope this helps!

Answer:

84%

Step-by-step explanation:

Okay, I want to work out the chance that was between 20 and 60. Other words will find the area. 20 2 60 this area here. And the answer is because the area under the curve is always one in total. So the workout p of 20, less than x. Less than 60 here. I need a calculator And the input on the TI 84 plus is as follows, you press the second blue button, second, followed by vars V A R S, that's by the arrow keys on the right, that brings up the menu for distributions and what you want is normal C D E F Number two on the list, so normal C D E F. You press enter and it was a lower upper, lower is 20 upper is 60. The mean is 50 and the standard deviation is 10, There's a four number input. So 20 for lower 60 for upper 50 for the mean And 10 for the s. d. Standard deviation so, and then paste that onto the screen and press enter and we get 0.83999. And hear what they want. There's a percent to have some more places.

Therefore, it will be 84.00 percent. The two decimal places

Answer:

Answer = tan 3pi/10

Step-by-step explanation:

Hope that helps! :)

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the volume of the cylinder?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

[tex]\textsf{Volume of a Cylinder:-}[/tex]

[tex]\dashrightarrow\boxed{\bold{V=\pi r^2h}}}\dashleftarrow[/tex]

Where

V = volume

π = pi (3.14...)

r=radius

h=height

Given:-

r=5

h=6

Notice that we're asked to use 3.14 for π.

Plug in the values:-

[tex]\bold{V=3.14 (5^2)(6)}[/tex]

On further simplification,

[tex]\bold{V=3.14(25)(6)}[/tex]

[tex]\bold{\underline{V=471}}[/tex] units³

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Answer:

28.27

Step-by-step explanation:

π x 6^2 x 90/360 = 28.27

Answer:

Sine is an Odd B answer

Step-by-step explanation:

So basically it's B
Text book

The coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)

The given parameters are given as:

The equation is represented as:

y = mx + c

So, we have:

y = 2/3x -5

When x = 0, we have;

y = 2/3 * 0 -5 = -5

When x = 3, we have;

y = 2/3 * 3 -5 = -3

When x = 6, we have;

y = 2/3 * 6 -5 = -1

When x = 9, we have;

y = 2/3 * 9 -5 = 1

Hence, the coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)

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Answer:

9(7p) is the expression.

Step-by-step explanation:

Let's multiply 7p and 9 to get product,

→ 7p × 9

→ 9(7p)

So, the product is 9(7p).

Answer:

(see attachment)

To approximate the square root of 13:

Working from the top down...

Enter the number you are trying to approximate in the top box: [tex]\boxed{\sf \sqrt{13}}[/tex]

Find the perfect squares directly below and above 13.

Perfect squares:  1, 4, 9, 16, 25, 36, ...

Therefore, the perfect squares below and above 13 are: 9 and 16

Enter these with square root signs in the next two boxes: [tex]\boxed{\sf \sqrt{9}}[/tex] and  [tex]\boxed{\sf \sqrt{16}}[/tex]  

Carry out the operation and enter  [tex]\boxed{\sf 3}[/tex] and [tex]\boxed{\sf 4}[/tex] in the next two boxes.

Enter the number you are trying to square root (13) in the top left box, the perfect square above it (16) in the box below, then the perfect square below it (9) in the two boxes to the right of these. Carry out the subtractions and place the numbers in the boxes to the right.

[tex]\dfrac{\boxed{\sf 13}-\boxed{\sf 9}}{\boxed{\sf 16}-\boxed{\sf 9}}=\dfrac{\boxed{\sf 4}}{\boxed{\sf 7}}[/tex]

Now enter the number you are trying to square root (13) under the square root sign.  Place the square root of the perfect square below it (3) in the box to the right.  Copy the fraction from above (4/7).  Finally, enter this mixed number into a calculator and round to the nearest hundredth.

[tex]\sf \sqrt{13}=\boxed{\sf3}\dfrac{\boxed{\sf 4}}{\boxed{\sf 7}}=\boxed{\sf3.57}[/tex]

Answer: [tex]\displaystyle d=3\sqrt{5}[/tex]

Step-by-step explanation:

     First, we will find the coordinate placement of each point. See attached.

     Now, we can use the distance formula.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]d=\sqrt{(6-3)^2 +(-3-3)^2}[/tex]

[tex]d=\sqrt{(3)^2 +(-6)^2}[/tex]

[tex]d=\sqrt{9+36}[/tex]

[tex]d=\sqrt{45}[/tex]

[tex]d=\sqrt{9*5}[/tex]

[tex]\displaystyle d=3\sqrt{5}[/tex]

Answer:

The area of rectangle is 77 sq ft.

11 x 7 = 77

Answer:

254.47 in²(rounded to nearest hundredth)

_________________________________________________________

[tex]A = \pi r^2[/tex]

tiny r means radius

² means multiply the number by itself twice

[tex]\pi r^2 = \pi * 9^2 = 81\pi(254.47~in^2)[/tex]

_________________________________________________________

Since the radius of a circle is 9 inches, the circle's area is equal to 254.34 square inches.

In Mathematics and Geometry, the area of a circle can be calculated by using this mathematical equation (formula):

Area = πr²

Where:

r represents the radius of a circle.

By substituting the given parameters into the formula for the area of a circle, we have the following;

Area of circle = 3.14 × 9²

Area of circle = 3.14 × 81

Area of circle = 254.34 square inches.

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Answer:

option A is the mostly likely to be population distribution

The distribution (A) is a distribution that is most likely to be from this population distribution option (A) is correct.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

It is given that:

The normal distribution or bell curve is shown in the picture.

As we can see in the picture the distribution is distributed 50 - 50 % along the median line or mean line.

The distribution is most likely to be from this population distribution is shown in option (A).

Thus, the distribution (A) is a distribution that is most likely to be from this population distribution option (A) is correct.

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The percent of the purchase price for Julio’s down payment was C. 18%

This refers to the amount of money that is added to a loan collected by a person, for when he makes repayment.

Hence,

Given that

We use the formula Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]

Pv= 1,558.09×((1−(1+0.05875÷12)^(−12×20))÷(0.05875÷12))

=219,684.92

Next thing to do is make a subtraction to get the down payment:

267,900−219,684.92=48,215.08

Then the percentage would be:

48,215.08÷267,900= 18% approx.

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Answer:

  40 quarts

Step-by-step explanation:

The amount of additional 50% acid solution can be found by writing an equation for the amount of acid in the mix.

__

Let x represent the number of quarts of 50% acid solution that need to be added. The total number of quarts of acid in the 40% mix is ...

  0.50x +0.20(20) = 0.40(x +20)

  0.10x = 0.20(20) . . . . . . . subtract 0.40x +0.20(20)

  x = 40 . . . . . . . . . . . . divide by 0.10

40 quarts of 50% solution must be added.

_____

Additional comment

That will make a total of 60 quarts of solution, of which 24 quarts (40%) are acid.

Step-by-step explanation:

while the other answer is correct, let me try to explain this in a different optical way :

50% means 50/100 = 1/2 = 5/10 of the substance is acid.

20% means 20/100 = 1/5 = 2/10 of the substance is acid.

40% means 40/100 = 2/5 = 4/10 of the substance is acid.

now, we want to find the quantity of x quarts that satisfies the desired balance :

x × 50% + 20 × 20% = (x + 20) × 40%

x × 5/10 + 20 × 2/10 = (x + 20) × 4/10

5x/10 + 4 = 4x/10 + 8

x/10 = 4

x = 40

so, yes, we need to add 40 quarts of the 50% solution.

that gives us 60 quarts, with 40% = 40/100 = 4/10 = 2/5 = being acid : 60 × 2/5 = 120/5 = 24 quarts

The answer will be 1-sphere,2-Triangular pyramid,3-cube,4-Triangular prism,5-Cylinder,6-Rectangular pyramid

The figures can be sphere, cylinder, cube,pyramid,prism etc.We have to match the description with their correct solid name.

figure where all points are the same distance from the center, is called sphere.

1-sphere

figure made of all triangles.That figure is called a triangular pyramid.

2-Triangular pyramid

figure with six congruent squares is called a cube.

3-cube

figure with two triangle bases and rectangles for the rest of its faces.That figure is called a triangular prism.

4-Triangular prism

figure with circular bases is called a cylinder.

5-Cylinder

figure with a rectangle as a base and a triangle for the rest of its bases.

That figure is called a rectangular pyramid.

6-Rectangular pyramid

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Answer:

$12

Step-by-step explanation:

8.20 plus 4.80 would equals 13

so 13 subtracted by 25 equals 12

Using the combination formula, it is found that the probability that she will choose one by each composer is given by:

144/1365.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, she will pick 4 CDs from a set of 4 + 6 + 3 + 2 = 15, hence the total number of options is given by:

[tex]C_{15,4} = \frac{15!}{4!11!} = 1365[/tex]

The number of options that include one from each is given by:

N = 4 x 6 x 3 x 2 = 144.

Hence the probability is given by:

p = 144/1365.

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Answer:

c. 69

b. 7

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{2}x + 8[/tex]

Step-by-step explanation:

The general slope-intercept equation is: y = mx + b.

In this equation, "m" is equal to the slope and "b" is equal to the y-intercept.

Since the slope is "1/2", then this is the "m" value.

Since the line passes the y-axis at "8" when x = 0, then "b" must be "8".

Therefore, the equation of the function in slope-intercept form is  [tex]y = \frac{1}{2}x + 8[/tex].