system of equations amanda bought 9 shirts for a total of 69$ Tee shirts cost 7$ and long sleeve shirts cost 8$ how many of each type did she buy

Answers

Answer 1

9514 1404 393

Answer:

6 shirts at $83 shirts at $7

Step-by-step explanation:

Let x and y represent the numbers of $8 and $7 shirts, respectively. Your system of equations can be written ...

  x + y = 9

  8x +7y = 69

Subtracting 7 times the first equation from the second gives ...

  (8x +7y) -7(x +y) = (69) -7(9)

  x = 6

Then y is ...

  y = 9 -x = 9 -6 = 3

Amanda bought 6 tees costing $8 and 3 tees costing $7.


Related Questions

If you horizontally stretch the linear parent function, f(x) = x, by a factor of 3,
what is the equation of the new function?
A. g(x) = x - 3
B. g(x) = 3x
O C. g(x) = 3 - x
D. g(x) = 3 *
SUBMIT

Answers

Answer:

The equation of the new function is [tex]g(x) = \frac{x}{3}[/tex]

Step-by-step explanation:

Horizontally stretching a function:

Horizontally stretching a function f(x), by a factor of a, means that:

[tex]g(x) = f(\frac{x}{a})[/tex]

In this question:

[tex]f(x) = x[/tex], horizontally stretched by a factor of 3, so [tex]a = 3[/tex], and:

[tex]g(x) = f(\frac{x}{3}) = \frac{x}{3}[/tex]

The equation of the new function is [tex]g(x) = \frac{x}{3}[/tex]

Benecio skis 748 yd in 3 min. At this rate, how many miles does Benecio ski in an
hour in miles?

Answers

Answer:

8.5 miles an hour.

Step-by-step explanation:

There are many ways to do this, but I am going to do it the way I think is the most simple.

First, divide 748 yards by 3 minutes to get the amount of yards per minute. 748 / 3 = 249.33333

Second, divide the previously gotten number (249.33333, [3's go on forever]) by the amount of yards in a mile (which is 1760 yards per mile). This turns into 249.33333 / 1760 = 0.1416666 (6's go on forever). This is miles per minute so you must make it per hour.

You then multiply that infinite number by the amount of minutes in an hour (60 minutes per hour). 0.14166666 * 60 = 8.5 miles per hour.

What is the area of a triangle in square units with the points (-3,-4), (8,-4), (-1,4)

Answers

Step-by-step explanation:

base = 11

height = 8

so are is 11 x 8 /2

= 44

factor the polynomial by grouping
[tex]5 {x}^{2} - 11x + 6[/tex]

Answers

(x-1)(5x-6)

Factor

11
-
11
out of

11
x
-
11
x
.
5
x
2

11
(
x
)
+
6
5
x
2
-
11
(
x
)
+
6
Rewrite

11
-
11
as

5
-
5
plus

6
-
6
5
x
2
+
(

5

6
)
x
+
6
5
x
2
+
(
-
5
-
6
)
x
+
6
Apply the distributive property.
5
x
2

5
x

6
x
+
6
The answer is (x-1) (5x-6) don’t get confuse on the first answer thank me later.

differentiate loge(x/x^2+7)​

Answers

Answer:

1+1=11 2+2=22 ok na yan kuya or ate

You are working as an office apprentice for the bksb Newcastle Arena. You are helping collect a customer satisfaction survey for the arena. Enter the following replies into the table below.

Answers

Answer:

Step-by-step explanation:

Can someone help me please

Answers

Answer:0.02

Step-by-step explanation:

Write Ratio 2:12 in the form 1:n

Answers

1:6

Hope this helps! :)

______________

Answer:

n value is 6

2:12=1:6

n is 6

What is the smallest number you should subtract from 456 to make it divisible by 9?

Answers

Add up all the digits

4+5+6=15

The sum of the digits must be equal to 9 so,


15=9

15–9=0

So,it is equal to 6.If we subtract 6 from 456 i.e.,

=456–6

=450

Which is divisible by 9 so,the answer is 6.But if we subtract any digit less than 6 it will not be divisible by 9.






What is the volume of a cone that has a radius of 11.2 cm and a height of 25.3 cm?
Your Answer:
Sim​

Answers

Step-by-step explanation:

V≈3323.42cm³

r Radius

11.2

cm

h Height

25.3

cm

Solution

V=πr2h

3=π·11.22·25.3

3≈3323.41966cm³

hope it is helpful

PLEASE HELP URGENT Give evidence and proof no links
1/What is the correct written expression for the variable expression: (3 - x)/7 *

the difference of 3 and x divided by 7
3 divided by the difference of 7 and x
the sum of 3 and x divided by 7
the difference of 3 divided by 7 and x

2.Johnny is 5 less than 3 times the age of Elizabeth. If Elizabeth is e years old, which expression shows Johnny's age? *

3e - 5
3e + 5
5 - 3e
5 + 3e

3.What is the value of 4a - 7b - 8, when a = 7 and b = 3? *

1
15
-1
-45

4.Jose has g video games. Tony has 8 fewer games than Jose. What variable expressions represents the total number of video games Jose and Tony have? *

g + 8
2g + 8
g - 8
g + (g - 8)

5. Which written expression represents the variable expression 1/2 (8 - y) *

One half of eight less than a number y
A number y less than half of eight
One half the difference between eight and a number y
the difference of one half of eight and a number y

Answers

A1/ the difference of 3 and x divided by 7

A2/ 3e - 5

A3/ -1

A4/ g + (g - 8)

A5/ One half the difference between eight and a number y

I'm not sure, but I hope it helps :)

What is the value of x in this number sentence
[tex]\frac{x}{7} - 4 = 6[/tex]

Answers

x/7= 10

x=10(7)
x=70
Hope this helps!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex] \frac{x}{7} - 4 = 6 \\ \frac{x}{7} = 6 + 4 \\ \frac{x}{7} = 10 \\ x = 10 \times 7 \\ x = 70[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

RainbowSalt2²2²

Prove the following statement by contradiction.
If a and b are rational numbers, b ≠ 0, and r is an irrational number, then a + br is irrational.
Proof by contradiction: Select an appropriate statement to start the proof.
A. Suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational.
B. Suppose not. That is, suppose there exist rational numbers a and b such that b ≠ 0, r is an irrational number, and a + br is irrational.
C. Suppose not. That is, suppose there exist rational numbers a and b such that b ≠ 0, r is an irrational number, and a + br is rational.
D. Suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is an irrational number, and a + br is rational.
E. Suppose not. That is, suppose there exist rational numbers a and b such that b ≠ 0, r is a rational number, and a + br is irrational.
Then by definition of rational,
a = c/d, b = i/j , and a + br = m/n
where c, d, i, j, m, and n are___and____. Since b ≠ 0, we also have that i ≠ 0. By substitution,
c/d + i/j r = m/n
Solving this equation for r and representing the result as a single quotient in terms of c, d, i, j, m, and n gives that
r = c - a/b

Answers

Answer:

spongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

The step would be, "Suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational." Option A is correct.

Given that,
a and b are rational numbers, b ≠ 0, and r is an irrational number, then a + br is irrational. the first step of the proof with contradiction is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
For the statement,

a and b are rational numbers, b ≠ 0, and r is an irrational number, then a + br is irrational.

Contradiction will be "suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational."

Thus, the step would suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational.

Learn more about simplification here:

https://brainly.com/question/12501526

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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.4x+y^2=12, x=yThen find the area S of the region.

Answers

Answer:

The Area of the Enclosed Region Is 64/3.

Step-by-step explanation:

As Given in Question

We have, Curve 4x+[tex]Y^{2}[/tex]=12

& X=Y

Solution.

4Y+[tex]Y^{2}[/tex]=12   (X=Y)

[tex]Y^{2}[/tex]+4Y-12=0

[tex]Y^{2}[/tex]+6Y-2Y-12=0

Y(Y+6)-2(Y+6)=0

(Y-2)*(Y+6)=0

Y=2 & -6  (X=Y)

Now at (2,2) & (-6,-6) both curves intersect each other.

The Area Of Enclosed Region is    [tex]\int\limits^2_{-6} [(3-Y^{2}/4 )-Y] \, dy[/tex]

by Solving This Equation we get Area of Region = 64/3 .    

this equation Solution & Curve Diagram please see In Attachment .  

Help find instantaneous rate of change :)!

Answers

Answer:  0

=========================================================

Explanation:

Let's say that point A is at (0,0) and B is somewhere else on the parabola.

I'll make point B go to the right of point A.

For now, let's say B is at (4,16).

If we compute the slope of line AB, then we find the average rate of change (AROC). The AROC in this case is (y2-y1)/(x2-x1) = (16-0)/(4-0) = 16/4 = 4. Because point A is at (0,0), we're really just computing y/x where the x,y values come directly from point B.

--------------

Now let's move B to (3,9). If we used the slope formula again, we would get the slope of 3. Note how y/x = 9/3 = 3.

Then let's move B to (2,4). The AROC is now y/x = 4/2 = 2

As B gets closer to A, the AROC is decreasing. The AROC is slowly approaching the IROC (instantaneous rate of change).

--------------

Point B is generally located at (x,x^2) for any real number x. Keeping A always fixed at the origin, the slope of line AB is y/x = (x^2)/x = x.

What does this all mean? It means that if x = 0, then the IROC is 0. You might be quick to notice that we cannot divide by zero. So instead of letting x be zero itself, we'll just get closer and closer to it. This is where the concept of limits come into use. This is what calculus is based on (both integral and differential calculus).

Anyway, when calculating the IROC, we're really calculating the slope of the tangent line to the f(x) curve. Refer to the diagram below.

----------------

In short, the slope of the tangent line at x = 0 is m = 0. We have a flat horizontal line that touches the parabola at (0,0).

If ABC~DEF what is the length of BC?

If ABC~DEF what is the length of EF?

Answers

BC would equal the same as EF, they are similar. All you would have to do is figure out the pre image (BC) of EF.

Answer: 8

Step-by-step explanation:

[tex]\sqrt{160000}[/tex]

what is the value of this

Answers

Answer:

400

Step-by-step explanation:

sqrt(160000)=sqrt(16)*sqrt(10000)=4*100

Pluto is 3,647,720,000 miles from the sun. what is that distance in AU?
1. 3.4
2. 39.2
3. 0.25
4. 26.3

Answers

Answer:

39.2 AU.

Step-by-step explanation:

If my memory serves me right an astronomical unit is 93,000,000 miles.

So the answer is 3647720000/93000000

= 39.2 AU.

The answer should be 39.2

112x/5= 43.60 solve for x

Answers

Answer:

x=109/56

dn did djs. hd hd hd hd hd hd

Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9. What is the length of Line segment D C? 2 units 3 units 6 units

Answers

Answer:

3 units

Step-by-step explanation:

Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
O As the x-values go to zero, the function's values go to
positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero
As the x-values go to positive infinity, the function's
values go to positive infinity.

Answers

Answer:

I believe it is the first choice

Step-by-step explanation:

As the x-values go to positive infinity, the function's

values go to negative infinity is the answer because the x-valures are in the first coordinate which is positive but the functions is going negative because of the line in the 3rd coordinate.

I tried my best, i hope you get it correct.

Please let me know if this is correct or not, if not i will edit my answer.

Please mark brainliest :)

Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times. Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%. Which answer choice shows the correct null and alternative hypotheses for this test?

Answers

Answer:

H0 : p = 0.5

H1 : p ≠ 0.5

Two tailed test

Step-by-step explanation:

The test if the true proportion of heads is different from 50%; this means the initial truth, that is the true proportion is 50% ; which is the null ;

H0 : p = 0.5

The researcher intends to test if the true proportion is not 50% ; that is the researcher is n spwcudfic about if the proportion is lower or higher, he just wants to test that the proportion is different, hence the test could go either way ;

Alternative hypothesis ;

H1 : p ≠ 0.5

Since the sign in the alternative hypothesis could be in either direction, then we have a two tailed test

5 is subtracted from the sum of 8 and 7.​

Answers

Answer:

10

Step-by-step explanation:

Sum of 8 and 7 = 8 + 7 = 15

5 subtracted from sum of  8 and 7 = 15 - 5 = 10

The answer to this question = 10

What do you mean by a sum?

The sum is the result of the addition of two or more numbers.

What do you mean by subtraction?

The difference between the two numbers is called subtraction.

How do we evaluate the given question?

First, we find the sum of 8 and 7

8 + 7 = 15

Now, we subtract 5 from 15

15 - 5 = 10

∴ The result to the given question = 10

Learn more about the Addition/Subtraction at

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Enlarge the triangle by scale factor -1/3 with centre (-1,2)

PLEASE CAN SOMEONE HELP?????????????/

Answers

The coordinates of the image after a dilation by scale factor -1/3 with center (-1, 2) are (0, 2), (0, 4), and (-1, 4).

What is dilation?

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of -1/3 centered at the point (-1, 2) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A, we have;

Coordinate A = (-4, 2)  →  (-1/3(-4 - (-1)) + (-1), -1/3(2 - 2) + 2)

Coordinate A = (-4, 2)  →  (-1/3(-4 + 1) - 1, -1/3(2 - 2) + 2)

Coordinate A' = (1, 1)  →  (0, 2)

For coordinate B, we have;

Coordinate B = (-4, -4)  →  (-1/3(-4 - (-1)) + (-1), -1/3(-4 - 2) + 2)

Coordinate B = (-4, -4)  →  (-1/3(-4 + 1) - 1, -1/3(-4 - 2) + 2)

Coordinate B' = (1, 1)  →  (0, 4)

For coordinate C, we have;

Coordinate C = (-1, -4)  →  (-1/3(-1 - (-1)) + (-1), -1/3(-4 - 2) + 2)

Coordinate C = (-1, -4)  →  (-1/3(-1 + 1) - 1, -1/3(-4 - 2) + 2)

Coordinate C' = (1, 1)  →  (-1, 4).

Read more on dilation here: brainly.com/question/20482938

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A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres

Answers

The answer is 2.1 Km. Hope this helps!

PLEASE HELPPPPpdododp

Answers

Answer:

f(x) - g(x) = x^3 - 3x^2 - 4x - 4

Step-by-step explanation:

f(x) - g(x)

x^3 - 2x^2 - 3x - 5 - ( x^2 + x - 1 )

x^3 - 2x^2 - 3x - 5 - x^2 - x + 1

x^3 - 3x^2 - 4x - 4

`show that the normal to the parabola y²=8x at (2 4)meets the parabola again in(18, -12)`​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to show that the normal line to the parabola:

[tex]y^2=8x[/tex]

At the point (2, 4) meets the parabola again at (18, -12).

First, find the tangent line to the parabola at the point (2, 4). We can take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[ y^2\right]=\frac{d}{dx}\left[8x\right][/tex]

Implicit differentiation:

[tex]\displaystyle 2y\frac{dy}{dx}=8[/tex]

Therefore:

[tex]\displaystyle \frac{dy}{dx}=\frac{8}{2y}=\frac{4}{y}[/tex]

Then the slope of the tangent line to the point (2, 4) is:

[tex]\displaystyle \frac{dy}{dx}\Big|_{y=4}=\frac{4}{(4)}=1[/tex]

Thus, the slope of the normal line is -1.

And since it passes through the point (2, 4), by the point-slope form:

[tex]y-(4)=-1(x-2)[/tex]

Simplify:

[tex]y=-(x-2)+4[/tex]

By letting x = 18:

[tex]y=-(18-2)+4=-16+4=-12[/tex]

So, the normal line indeed passes through (18, -12).

Answer:

answer is in the picture.

The product of ______________ and (-1) is -35.

Answers

Answer:

35

Step-by-step explanation:

The product of 35 and (-1) is -35.

As,

35 × (-1) = -35

Joe drives for 3 hours and covers 201 miles. In miles per hour, how fast was he driving?​

Answers

Answer:

67 mph

Step-by-step explanation:

201/3 = 67

Find the value of y and show work

Answers

Answer:

75

Step-by-step explanation:

∠K and ∠ R are congruent (equal)

Triangle Sum Theory - angles of all triangles add to 180

180 - 79 - 26 = 75

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