A discount bookstore sells hardcover books for $12 and paperback books for $6. The number of hardcover books, x, sold one day was twice the number of paperback books, y, sold the same day. The total sales that day were $180.

1.What is the system of equations that represents this situation?


2.What is the solution to the system and what does it represent in the context of this situation? Show your work.

Answer:

15. Radius

16. CF is parallel to AH , Option C

17. Option A , AB congruent to ST

Step-by-step explanation:

15.  The line joining the center and any point on the circumference of a circle is the radius if the circle. Here Center is O and is being joined by B which lies on circumference hence OB makes a radius.

16. In  a cuboid , all the heights are parallel to each other. Hence CF ║AH ║ BE ║ DG

Hence the right answer is option C

17. If we observe the two quadrilaterals we see that

A overlaps to S , B to T , C to U and D to V

Hence

AB is congruent to ST

Answer:

5

Step-by-step explanation:

each problem takes 1/2 so 1 page fits 2 problems and 2 can go into 10 5 times

Answer:

5 sheets of paper

Step-by-step explanation:

if it only took her half a page to do one problem, then she could fit 10 problems on 5 pages since 1/2 of 10 is 5

i hope this helps :)

The median is the number in the middle of a list of numbers

So the middle number on Saturday is 18, and the middle number on Sunday is 22.       Your answer is D

Answer:

The Medians on this set of data are 18 on Saturday and 22 on Sunday

Step-by-step explanation:

The median on a set of data is the middle number that separates the lower half from the top half in a set. For us to be able to find the median in a set of numbers, the numbers must first always be arranged from least to greatest. Since the set in the picture is already sorted, we can easily see that the medians are the following,

Saturday: 18

Sunday: 22

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The answer is 3. A, D, and C are vertical angles and match to the angle marked 70 degrees.

Answer:

$151.87

Step-by-step explanation:

The new balance includes the previous balance, plus finance/interests charges, plus the new purchases, minus the payment(s).

So,

Previous balance: $142.55

+ Finance charge: $2.82

+ New purchases: $86.50

= Sub-total: $231.87

- Payment: $80.00

= New Balance: $151.87

Marissa Palmer's new balance after considering her previous balance, finance charge, new purchases, and payment is $151.87.

To calculate Marissa Palmer's new balance on her charge account statement, we need to consider several components: the previous balance, finance charge, new purchases, and the payment she made. We start with her previous balance, add any finance charges, add the cost of new purchases, and then subtract any payments. Here's the step-by-step calculation:

When we do the subtraction ($231.87 - $80.00), we find that her new balance is $151.87.

Answer:

19.50x 3 or 19.50+19.50+19.50

Step-by-step explanation:

You could either multiply it or divide!

Hope I helped!!

:)

Answer:

[tex]\boxed{\text{3.74 m}}[/tex]

Step-by-step explanation:

This is equivalent to finding the equation of a parabola from three points.

Let's call the ground-level points (-3.5, 0) and (3.5, 0).

The axis of symmetry will be the y-axis, so the vertex is at (0, 7).

Part 1. Find the equation of the parabola

The vertex form of the equation for a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

If the vertex is at (0, 7),  

h = 0 and k = 7

The equation is

y = ax² + 7

Insert the point (0, -3.5)

0 = a(0 + 3.5)² + 7

0 = a(3.5)² + 7

0 = 12.25a + 7

-7 = 12.25a

a = -0.5714

The equation in vertex form is

y = -0.5714x² + 7

Part 2. Calculate the width when y = 5

 5 = -0.5714x² + 7

-2 = -0.5714x²

x² = 2/0.5714

x² = 3.5

x = ±√3.5 = ±1.87  

So, on the graph, the coordinates of the truck at ground level are x = -1.87 and x = +1.87.

The maximum width of the load is 1.87 – (-1.87) =[tex]\boxed{\textbf{3.74 m}}[/tex]

In the diagram below, the red parabola represents the underpass, and the blue box is the truck going through it.

Answer:

The corresponding point for the function [tex]f(\frac{1}{3}x)[/tex] is

(18, -3)

Step-by-step explanation:

By definition if we have a function f(x) and we apply the transformation:

[tex]y = f (hx)[/tex]

Then:

If [tex]0 <h <1[/tex] the graph is stretched horizontally  by a factor [tex]\frac{1}{h}[/tex]

If [tex]h> 1[/tex] the graph is compressed horizontally by a factor [tex]\frac{1}{h}[/tex]

In this case [tex]h=\frac{1}{3}[/tex]  this is [tex]0 <h <1[/tex] then the graph is stretched horizontally  by a factor [tex]\frac{1}{\frac{1}{3}}=3[/tex]

Therefore the point (6, -3) that belongs to f(x), in the transformed function will be (3*6, -3) This is (18, -3)

Observe the example shown in the attached image

Answer:

the number of chocolates in the  bag is 60 in total

Step-by-step explanation:

Answer:

60 chocolates in total

Explanation:

If the ratio of caramel chocolates to chocolate truffles is 4:6 and we know there are 24 caramel chocolates, we can create a proportion.(X is the amount of chocolate truffles)

4/24=6/x

Solve for x.

144=4x

X=36

Now that we know how many of each chocolate there is, we can calculate the total by adding them together.

36+24=60 chocolates in total

the first choice is correct

The maximum area of the rectangle will be 242 square ft. The expression for a in terms of x will be 44 - 2x. Then the correct option is C.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

If the a, b, and x are 44 ft. Then the expression for a in terms of x will be

We know that b = x

Then we have

a + b + x = 44

   a + 2x = 44

           a = 44 - 2x

Then the area opf the rectangle will be

Area = (44 - 2x)x

Area = 44x - 2x²

For maximum area the value of  x will be 11. Then we have

Area = 44 × 11 - 2 × 11²

Area = 242 square ft

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The time it will take him to run 5 and 1/3 loops around the track is 4/3 hours.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Clay can run one lap around the track in 1/4 of an hour. The number of hours that takes him to run 5 and 1/3 laps around the track will be given as,

⇒ (5 + 1/3) x (1/4)

⇒ (16/3) x (1/4)

⇒ 4/3 hours

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Answer:

[-1, -6]

Step-by-step explanation:

Since both coefficients next to your y's are identical use the Elimination Method by multiplying one of the equations by -1 to form additive inverses, meaning they result in 0:

-1[{2x - 3y = 16}]↷

{5x - 3y = 13}

{-2x + 3y = -16

{5x - 3y = 13

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

3x = -3 [Divide by 3]

x = -1

y = -6 [plug in "-1" back into both equations to confirm their authenticities]

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Answer:

The answer is A. sq. root of 11

Step-by-step explanation:

Use a2+b2=c2

So, 25+b2=36

b2=11

b=sq root 11

Answer:

3; [tex]f(n)=2(3)^{n-1}[/tex]

Step-by-step explanation:

The given sequence is

2, 6, 18, 54,....

The first term is [tex]f(1)=2[/tex]

The common ratio is obtained expressing a subsequent term over a previous term.

The common ratio is [tex]r=\frac{6}{2} =3[/tex]

The the nth term of the sequence is given by:

[tex]f(n)=f(1)(r^{n-1})[/tex]

[tex]f(n)=2(3)^{n-1}[/tex]

The exponential function which represents the sequence is

[tex]f(n)=2(3)^{n-1}[/tex]

Answer:

A

Step-by-step explanation:

i got it correct on usatestprep

Answer:

8

Step-by-step explanation:

4.8/0.6

4.8/(3/5)

4.8 * 5/3 = 8

Answer:

8

Step-by-step explanation:

The answer is 8 because you just divide the two numbers..

Answer:

Negative + Negative = positive.

Positive + Positive= Negative

Negative + Positive= Negative

Step-by-step explanation:

What you solving is the first choice Negative + Negative = positive.

So positive is the answer of course!!!

Plz Mark Brainlistt!!!!! plzzzz

Answer:

False

Step-by-step explanation:

No solution. Incorrect equation. -2.5 -4.5 is = -7 which is NOT ≠ to 7

Answer:

D. 35

Step-by-step explanation:

the pattern followed by Frankita is:

15 min = 15 drawing

30 min = 17 drawing                  : increase by 2 (15+2 = 17)

45 min = 20 drawing                 : increase by 3 (17+3 = 20)

60 min = 24 drawing                 : increase by 4 (20+4 = 24)

75 min = 29 drawing                 : increase by 5 (24+5 = 29)

90 min = 35 drawing                 : increase by 6 (29+6 = 35)

Answer:

56 square centimeters

Step-by-step explanation:

2*4 =8

8*7 =56

The total area is 36 square cm if the X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters option (C) is correct.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters

Here no other details have been provided, so we are assuming we have two rectangles dimensions for the first is 2×4, and for the second 4×7

Total area = 2×4 + 4×7 = 8+28 = 36 square cm

Thus, the total area is 36 square cm if the X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters

Learn more about the rectangle here:

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Answer:

5 7/8

Step-by-step explanation:

12 3/4 = 12 6/8

1 3/8 = 1 3/8

5 1/2 = 5 4/8

1 3/8+5 4/8 = 6 7/8

12 6/8 = 11 14/8

11 14/8-6 7/8 = 5 7/8

Answer:

sin a

Step-by-step explanation:

let the unknown term be x.

[tex]x.cos \: b = \frac{1}{2}(sin(a + b) + sin(a - b)) \\ or \: x = \frac{ \frac{1}{2} 2sinacosb}{cosb} \\ or \: x = sin \: a[/tex]

you have to remember that:

2sinAcosB=sin(A+B)+sin(A-B)

Answer:

20 ft

Step-by-step explanation:

The right triangles formed by Lance and his shadow and the tree and it's shadow are similar, hence the ratios of corresponding sides are equal.

Let the height of the tree be h, then

[tex]\frac{5}{h}[/tex] = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex]

cross- multiply to obtain

h = 5 × 4 = 20

The height of the tree is 20 ft

Answer:

20 feet

Step-by-step explanation:

5 feet Object = 8 feet shadow

8 feet shadow = 5 feet Object

8 feet shadow = 5 feet Object

1 foot shadow = 5 ÷ 8 = 5/8 foot object

1 foot shadow = 5/8 foot object

32 feet shadow = 5/8 x 32 = 20 feet object

a= 3

b=4

c=5

The Pythagorean Theorem.

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9+16=25

25=25

✔

Step-by-step explanation:

Answer:

Width =9 cm

Length =6 cm

Step-by-step explanation:

Let x be width, then length is x − 3

Let area be E. Then we have: E = x ⋅ (x −3)

54= x^2-3x

x^2-3x-54=0

We then do the Discriminant of the equation:

D=9+216

D=225

X1=3+15 over 2. which is 9

X2= 3-15. over 2. which is -6 Which is declined, since we can't have negative width and length.

Therefore x is 9. So width  

So width  = x = 9cm and length is x-3 = 9-3cm=6 cm

Answer:

y=-5x-10

3x-2y=-19

We can actually see here that the completed equations are:

1. y = -5x - 10

2. 3x - 2y = -19

To find the missing values in the equations such that the solution is (-3, 5), we substitute the values of x = -3 and y = 5 into the equations and solve for the missing values.

For the equation y = x - 10:

Substituting x = -3 and y = 5:

5 = -3 - 10

5 = -3__ - 10

5 + 10 = -3__

15 = -3__

__ = -5

Therefore, the missing value is -5. The completed equation is:

y = -5x - 10

For the equation 3x - y = -19:

Substituting x = -3 and y = 5:

3(-3) - 5 = -19

-9 - 5 = -19

-9 + 19 = 5

10 = 5__

__ = 2

Therefore, the missing value is 2. The completed equation is:

3x - 2y = -19

The completed equations are:

When x = -3 and y = 5, both equations will have a solution of (-3, 5).

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Answer:

110

Step-by-step explanation:

200+20=220

220/2=110

Answer:

110?

Step-by-step explanation:

because 110 times 2 is 220. and 220 is 20 bigger than 200.

Answer:

18 cm²

Step-by-step explanation:

The area labelled A is a triangle.

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 9 and h = 4 ( the same height as the rectangle ), thus

A = [tex]\frac{1}{2}[/tex] × 9 × 4 = [tex]\frac{1}{2}[/tex] × 36 = 18 cm²

Answer: Equivalent

Step-by-step explanation:

When given a system of equations, the definitions of the solution are:

In the given graph, the lines are the same, which means they have INFINITE solutions --> The system is Consistent & Dependent = Equivalent

Answer:

3.(-6,-8)

Step-by-step explanation:

y=x-2

2x+4=y

x-2=2x+4

x=2x+6

-x=6

x=-6

y=-6-2

y=-8

Step 1: Wherever you see a y in the equation: 2x + 4 = y insert x - 2

2x + 4 = x - 2

Step 2: Combine like terms

x's go with x's. To do this subtract the x from the right side to both sides

(2x - x) + 4 = (x - x) - 2

x + 4 = 0x - 2

x + 4 = -2

Normal numbers go with normal numbers (4 and -2). Bring the 4 to the right side by subtracting it to both sides

x + (4 - 4) = -2 - 4

x + 0 = -6

x = -6

Step 3: To solve y put -6 where you see an x in the equation: y = 2x + 4

y = 2(-6) + 4

y = -12 + 4

y = -8

(-6,-8)

Hope this helped!

Answer:

Option C. [tex]\$34,252.67[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=18\ years\\ P=\$8,193\\ r=0.08\\n=6[/tex]  

substitute in the formula above  

[tex]A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67[/tex]  

what are we using ? feet, inches, etc.

Answer:

The answer is 4

Hope this helped