plz help this is due !!!
This is a story problem. You may use the method of your choice to solve the problem. (substitution, combination, elimination )
The sum of 2 numbers ( x and y ) is +12
The difference of the same 2 numbers is -4
1. Which method will you use and why?
2. How will you set up the equation needed to solve?
3. What is the solution expressed as an ordered pair? (x,y)

Answer:

Leigh Anne has the grater rate of pay by 0.30

Step-by-step explanation:

Jerry: $11.75 per hour

Anne: $12.05 per hour

(2x-4)(x+5)  expand with indicated multiplication

2x^2+10x-4x-20

2x^2+6x-20

Answer

$9.60.

Step-by-step explanation:

Let x be the cost of one case of the sport drink.

7x+6.95=74.15

Solve for x

7x=67.20

x=9.60

The cost of each case of sports drink costs $9.60.

Answer:

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.

Step-by-step explanation:

We are given to select the set of transformations that has been performed on triangle PQR to form triangle P'Q'R'.

From the graph, we note that

the co-ordinates of the vertices of triangle PQR are P(-4, 2), Q(0, 0) and R(2, 6).And, the co-ordinates of the vertices of triangle P'QR' are P'(-2, -1), Q'(0, 0) and R'(1, -3).

Let the dilation factor applied on triangle PQR to form triangle P'Q'R' be represented by d.

Then, we observe that

1/2 × P(-4,2)=(-2,1),

1/2 × Q(0,0)=(0,0),

1/2 × R(2,6)=(1,3).

So, the value of d will be

d = 1/2.

Again, to arrive at the vertices of triangle P'Q'R', we need to change the sign before the y co-ordinates ((x, y)   ⇒   (x, -y)) of each new vertex hat we found after dilation.

That is.(-2, 1)   ⇒   P'(-2, -1),

(0, 0)   ⇒   Q'(0, 0),

(1, 3)    ⇒   R'(1, -3).

This is reflection over X-axis.

Therefore, the set of transformation is given by

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.

Most of the graphing resources used shows that the graph is translated up by 3.25 (3 + 1/4). If you add the 3 and the 1/4, you get the equation of a line:

f(x) = x + 3.25,

which means that the graph of f(x)= x now has a y intercept of 3.25.

The graphs are below. The red line represents f(x) = x, and the green line represents (x+3)+1/4. Hope this helps!

Given:

Total number of bills of one, five and ten = 165

Total amount = $893

There are twice as many five dollar bills as there are ones and tens combined.

To find:

Number of bills of each type.

Solution:

Let number of bills of one, five and ten are x, y and z respective.

Total number of bills of is 165.

[tex]x+y+z=165[/tex]         ...(i)

Total amount is $893.

[tex]1x+5y+10z=893[/tex]         ...(ii)

There are twice as many five dollar bills as there are ones and tens combined.

[tex]y=2(x+z)[/tex]     ...(iii)

From equation (iii), we get

[tex]\dfrac{y}{2}=x+z[/tex]       ...(iv)

Putting [tex]x+z=\dfrac{y}{2}[/tex] in (i), we get

[tex]\dfrac{y}{2}+y=165[/tex]

[tex]\dfrac{3y}{2}=165[/tex]

[tex]3y=330[/tex]

[tex]y=110[/tex]

Putting y=110 in (iv), we get

[tex]x+z=\dfrac{165}{2}[/tex]

[tex]x+z=55[/tex]

[tex]x=55-z[/tex]       ...(v)

Putting y=110 and x=55-z in (ii), we get

[tex](55-z)+5(110)+10z=893[/tex]

[tex]55-z+550+10z=893[/tex]

[tex]9z+605=893[/tex]

[tex]9z=893-605[/tex]

[tex]9z=288[/tex]

Divide both sides by 9.

[tex]z=32[/tex]

Putting z=32 in (v), we get

[tex]x=55-32[/tex]

[tex]x=23[/tex]

Therefore, the number of one, five and ten bills are 23, 110 and 32 respectively.

There are 23 bills of $1 type.

There are 110 bills of $5 type.

There are 32 bills of $10 type.

According to the given situation

You are given $893 in one, five, and ten dollar bills.

Let the number of $1 bills be "x"

Let the number of $5 bills be "y"

Let the number of $10 bills be "z"

Total number of bills = x + y + z  

Also it is given that there are twice as many five dollar bills as there are ones and tens combined

hence we can write the equations in the form of 3 variables

[tex]\rm x + y + z = 165........(1) \\x +5y + 10z = 893.........(2) \\y = 2\times (x+z) ..........(3) \\[/tex]

These are three linear equations  with 3 variables that can be solved for x, y and z .

On solving equations (1) , (2),  and (3) we get

[tex]x = 23 \\y = 110 \\z = 32 \\[/tex]

So we can conclude that there are 23 bills of $1 type.

There are 110 bills of $5 type.

There are 32 bills of $10 type.

For more information please refer to the link given below

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Answer:

>

Step-by-step explanation:

Since both have the same -9 integer, we don't have to worry about that.

Now, 1/5 is smaller than 1/4;

1/5 = 0.2

1/4 = 0.25

Therefore, we use the > sign.

Answer:

>

Step-by-step explanation:

just learned this at school :)

The length of BD is 18.5 units.

In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.

Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.

In triangle ABD, we have the following sides:

AB = AD = 22 (given)

BD = ?

Now, let's consider triangle CBD. In this triangle, we have the following sides:

BC = DC = 15 (given)

BD = ?

Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.

The area of triangle ABD can be calculated as:

Area(ABD) = (1/2) * AB * BD

Similarly, the area of triangle CBD can be calculated as:

Area(CBD) = (1/2) * BC * BD

Since the areas of ABD and CBD are equal, we can equate their expressions:

(1/2) * AB * BD = (1/2) * BC * BD

We can cancel out the common factor (1/2) and solve for BD:

AB * BD = BC * BD

Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:

AB = BC

In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.

BD is equal to half of the hypotenuse AC:

BD = (1/2) * AC

Substituting the given values, we have:

BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5

Therefore, the length of BD is 18.5 units.

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The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given that:

n=1000  

Where the data is distorted and the bad outlier is just axed,when we transform scores of its distribution form into z-score, that become negative or skewed to the left.  If n=1000 doesn't have normal skewed knowledge, then:  

The data range is between 1 to 7

[tex]\to 1 \ to \ 7 = 6 \sigma \\\\\to \sigma =\frac{7-1}{6} \\\\\to \sigma = \frac{6}{6}\\\\\to \sigma = 1\\\\\mu = 4\\[/tex]

In point (1):

The score that matches:  

[tex]\to Z=-2 \ \ \ \mu -26 \\\\ \to 4-2 =2\\\\ \to Z_{score} =2[/tex]

In point (2):

Its value of Z= 0.5 is [tex]\mu \ \ to \ \ 5 \ \ \sigma[/tex]

[tex]= 4+ 0.5 \times 1\\\\= 4+ 0.5\\\\=4.5\\[/tex]

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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The trigonometric function that is odd is the sine function, and it is because pf how it is defined.

We define an odd function as a function that has the next property.

f(-x) = -f(x)

So we need to find a trigonometric function with this property and is rater easy to know that it is the sine function, because:

Sin(-x) = -Sin(x)

This happens because the sine function measures the vertical distance to the endpoint of an angle x, and when x (an angle) becomes negative, the endpoint is below the horizontal axis, thus the outcome is reflected from the positive angle, but with opposite sign.

If you want to learn more about trigonometry, you can read:

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The reason for trigonometric function is an odd function is shown below.

The sine function is the trigonometric function that is odd, and this is due of how it is defined.

Odd functions are functions that possess the following characteristics.

f(-x) = -f(x)

The sine function is the most straightforward to identify as the trigonometric function that has this attribute because:

sin(-x)= -sin x

This occurs because the sine function calculates the vertical distance from the angle's terminus, which is below the horizontal axis when the angle is negative.

As a result, the result is reflected from the positive angle but with the opposite sign.

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Answer:

21

Step-by-step explanation:

To find the mean, add the values and divide by the number of values

(7 + 100 + 1 + 3 + 7 + 10 + 15 + 12 + 17 + 38)/10

210/10

21

The mean is 21

Answer:

21

Step-by-step explanation:

BELIEVE MEEE

Answer:

This isnt even a question, wheres the rest of it?

Answer:

Slope = - 6/5x

Y int=(0,6.4)

X int=(5.333,0)

Step-by-step explanation:

It has been proof checked on desmos

Lucia biked approximately 12 7/10 miles per hour.

To find the number of miles Lucia biked per hour, we need to divide the total distance she biked by the total time taken.

Lucia biked a total distance of 50 4/5 miles in 4 hours.

To divide a mixed number by a whole number, we first convert the mixed number into an improper fraction.

50 4/5 = (50 * 5 + 4) / 5 = 254/5

Now, we can divide the distance by the time:

(254/5) miles / 4 hours = (254/5) / 4

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.

(254/5) / 4 = (254/5) * (1/4) = 254/20 = 12 14/20 = 12 7/10

Therefore, Lucia biked approximately 12 7/10 miles per hour.

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Answer:

3(n-5)

Step-by-step explanation:

Less than indicates subtract and since 5 is less than a number N goes first.

Tripled goes on the outside because the number that is 5 less gets tripled

Hope this helps

Answer:

30,000 miles

Step-by-step explanation:

This is the answer because:

1) There are 36 months in 3 years

2) Divide 36 with 6 because we know this person drives 5,000 miles in 6 months

36/6 = 6

3) Finally, multiply 5,000 and 6 which is 30,000

5,000 x 6 = 30,000

Therefore, the answer is 30,000 miles

Hope this helps! :D

A person drives 5,000 miles in 6 months. So, 30,000 miles will that person drive in 3 years.

A person drives 5,000 miles in 6 months

To determine How many miles will that person drive in 3 years.

First we convert 3 years into month.

1 year = 12 months

3 years = 12 * 3 = 36 months

Now, lets consider

x miles will that person drive in 3 years

6 months = 5,000 miles

36 months = x miles

x = 5,000/6 * 36 = 30,000

Therefore, 30,000 miles will that person drive in 3 years.

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Answer:

12 [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

The first step is to change the mixed numbers to improper fractions

2 [tex]\frac{2}{3}[/tex] × 4 [tex]\frac{4}{5}[/tex]

= [tex]\frac{8}{3}[/tex] × [tex]\frac{24}{5}[/tex] ( cancel 3 and 24 by 3 )

= [tex]\frac{8}{1}[/tex] × [tex]\frac{8}{5}[/tex]

= [tex]\frac{8(8)}{1(5)}[/tex]

= [tex]\frac{64}{5}[/tex]

= 12 [tex]\frac{4}{5}[/tex]

The equation of the graph is f(x) = -1|x + 4| + 3

The graph represents an absolute value function

The equation of an absolute value function is represented as:

y = a|x - h| + k

Where:

Vertex = (h,k)

From the graph, we have:

(h,k) = (-4,3)

So,we have:

y = a|x - (-4)| + 3

Expand

y = a|x + 4| + 3

The graph is opens down.

This means that a < 0

Assume a = -1, the equation becomes

y = -1|x + 4| + 3

Express as a function

f(x) = -1|x + 4| + 3

Hence, the equation of the graph is f(x) = -1|x + 4| + 3

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Answer:

8.66 feet

Step-by-step explanation:

I typed it into google XD

Answer:

- 1/8 im pretty sure

Step-by-step explanation:

Does this question involve sin, cos..?

If yes,

sin 60= x/12

x= 12sin 60

x=10.392(5s.f)

x=10.4(3 s.f)

Using pythagoras theorem,

a^2 + b^2 =c^2

x^2 + y^2= 12^2

(10.392)^2 + y^2 = 144

y^2=36.006

y=[tex]\sqrt{36.006}[/tex]

y=6.0005

y=6.00(3 s.f)

For significant figures and decimal place, you should do what your school requires whether its 3 s.f or 2 d.p. I hope this helps..

Answer:

The first is the answer if its least to greatest

Step-by-step explanation:

-17/10 in decimal form is -1.7

Answer:

B

Step-by-step explanation:

-2 is less than -1.7 and -1.7 is less than -1.44

Use a calculator is you want quick answers lol

Answer:

its 72

Step-by-step explanation:

Answer:

The least common multiple is 72.

Answer:

1,000

Step-by-step explanation:

The 1 in 1,000 is the ones place, and since 4 is below 5 the ones place stays the same and everything else turns into 0.

option C for Qno10

and option a for Qno 9

Answer:

2

Step-by-step explanation:

You could easily punch this into a calculator.

Answer:

Step-by-step explanation:

(1/8)^-1/3 = (8)^1/3= ∛(8)= 2

-7x + 17y

(-2x + 10y) - (5x - 7y)

-2x + 10y - 5x + 7

-7x + 17y

Answer:

24

Step-by-step explanation:

53-5=48

48/2=24 Elgas age

24+5=29 Alvin's age