A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The
total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear
equation to find the number of tomatoes sold.

Answer:

y= 8x +7

Step-by-step explanation:

slope-intercept form:

y= mx +c, where m is the gradient (or slope) and c is the y-intercept.

Since it is a linear function, the gradient of any 2 points would be equal.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Thus, gradient of the line

[tex] = \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8[/tex]

Subst. m=8 into the equation:

y= 8x +c

To find the value of c, substitute a pair of coordinates.

When x=0, y= 7,

7= 8(0) +c

c= 7

Thus, the equation of the linear function is y= 8x +7.

Answer:

Its not clear what form to write this equation in but the relationship is that 3 cubes are added from figure to figure. The best equation i can think off would be y=x+3. This is because the new figure, y, is equal to the figure before it plus 3

y=x+3 is the best answer in this case

Step-by-step explanation:

Answer:

A: (3x+24):3x = 85:51

Step-by-step explanation:

85 seems to be the total (RT + TP). 51 seems to be just TP alone.

This means that for the side lengths above, it should be in this format:

(length of QP):(length of SP)

The length of QP is 3x+24, as 3x is SP and QS is 24.

The length of SP is just 3x.

I hope this made sense, please leave a comment if it didn't ^^'

Answer:

∆RPQ ~ ∆TPS

now

RP: TP=QP:SP

(34+51);51=(3x+24):3x

(3x+24):3x=85:51 is your answer

Answer:

g(4) = 5, fg(2) = 7/-3, gˉ¹(7)​ = 2

Step-by-step explanation:

i.) g(4)= 2(4) -3

g(4) = 8 -3

g(4) = 5

ii.) fg(2)

g(2) = 2(2)-3

g(2)= 4-3

g(2) = 1

fg(2) = 2(1)+5/1-4

fg(2) = 7/-3

iii.) g(x) = 2x -3

g(y) = 2y -3

x = 2y -3

x-3 = 2y

y= (x-3)/2

gˉ¹(7)​ = ((7)-3)/2

gˉ¹(7)​ = 4/2

gˉ¹(7)​ = 2

Answer:

D. 330,180 Maybe?

Step-by-step explanation:

8.39 Kilometers = 330314.961 Inches

I rounded to 330,315

Answer:

The multiplicity of a root affects the shape of graph of a polynomial. If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis

Step-by-step explanation:

Tbh I don't know the answer I just hope this helps

Answer:

k

Step-by-step explanation:

dw

Answer:

K

Step-by-step explanation:

Dw. Please give me like

Answer:

39=6t+3f+e

39=19f+1

5 touchdowns, 3 extra points, and 2 field goals.

Step-by-step explanation:

e=f+1

6t=15f

39= 6t   +3f   +e

       ^       ^      ^

39=(15f)+(3f)+(f+1)           |             e=f+1                     |                      6t=15f

39=19f+1                         |             e=2+1                    |                      6t=15(2)

38=19f                            |             e=3                        |                      6t=30

f=2                                  |                                            |                      t=5

Answer:

Side b is 3.19

Information:

The following image has all the lengths solved in the triangle. Also, here are the degrees of the three angles:

∠C is 112 degrees

∠B is 56 degrees

∠A is 12 degrees

Hope this helps and answers you question :)

Sure whats the problem?

The value of the expression 5³ is 125.

We have,

The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.

In mathematics, exponentiation is an operation that involves raising a base number to a certain power.

The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).

When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:

5³ = 5 x 5 x 5  = 125

So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.

Thus,

The value of the expression 5³ is 125.

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The complete question:

What is the value of 5 raised to the power of 3?

Answer:

$276.25

Step-by-step explanation:

$325 times (100% -15%)

$325 times 0.85

Answer:

where are the options please

Answer: C (0,0), (-4,0) and (0, -5)

Step-by-step explanation:

After repositioning the triangle, the vertices will be A(0, 0), B(0, -5), and C(-4, 0). This new positioning will make the coordinate proof easier since the coordinates are now simpler, and one vertex is located at the origin, which often simplifies the calculations in coordinate geometry proofs.

To make a coordinate proof easier, it's helpful to reposition the triangle in a way that simplifies the calculations and coordinates. In this case, you can reposition the triangle by translating it so that one of its vertices aligns with the origin (0, 0). This process is known as translation.

Let's reposition the triangle so that vertex A(5, -2) aligns with the origin (0, 0). To do this, we need to subtract the x-coordinate of vertex A from all the x-coordinates of the other vertices and subtract the y-coordinate of vertex A from all the y-coordinates of the other vertices.

The new coordinates for the repositioned triangle will be:

A(5, -2) -> A(0, 0) (remains the same, as it aligns with the origin)

B(5, -7) -> B(5 - 5, -7 - (-2)) -> B(0, -5)

C(1, -2) -> C(1 - 5, -2 - (-2)) -> C(-4, 0)

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Answer:

sorry i just need points but ya

Step-by-step explanation:

Answer:

y = 1

hope that helps you

Answer:

Step-by-step explanation:

That is a true statement.

The first derivative is

[tex]f'(x)=xcos(x)+sin(x)[/tex]

The second derivative is

[tex]f"(x)=-xsin(x)+2cos(x)[/tex]

The third derivative is

[tex]f'''(x)=-xcos(x)-3sin(x)[/tex]

If you don't know how to find a derivative at this point, you'll be in a lot of trouble when it comes to integration. I recommend learning these.

Answer:

42 degrees

Step-by-step explanation:

Answer:

x=42°

Step-by-step explanation:

In any triangle, when all three angles are added together, their sum will always be 180°:

∠1+∠2+∠3=180

Insert any known values:

[tex]29+109+x=180[/tex]

Simplify the addition:

[tex]138+x=180[/tex]

Use inverse operations to find angle three. Subtract 138 from both sides:

[tex]138-138+x=180-138\\\\x=42[/tex]

Therefore, the unknown angle is 42°.

:Done

Answer:

A

Step-by-step explanation:

Any rational expression where the denominator is zero is undefined.

The only expression where the denominator is zero is A [tex]\frac{7}{0}[/tex]

Answer:

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

Step-by-step explanation:

to move up or down just add or subtract the constant equal to the units moved

so just to move it DOWN 3 would give us

g(x) = x^2 - 3

to move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

so , since we are moving 3 units to the right, we replace the x with x-3

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

sorry if I get it wrong.

Answer:

9 cm

Step-by-step explanation:

If the area is 81 cm², this means that the length is 9 cm as length² of a square equals its area.

Answer:

The line that matches the equation y=2x+4 is line e.

Answer:

Answer:

The probability of obtaining the sum of 10 is 1/12 or 0.0833

Step-by-step explanation:

Given

2 fair dice

Required

Probability of obtaining the sum of 10

To solve this, we have to list out the sample space.

Sample space is the total possible sum that can be obtained when she rolls the dice.

Let the first die be represented with S1 and the second be represented with S2.

S1 = {1,2,3,4,5,6}

S2 = {1,2,3,4,5,6}

To get the sample space, we have to add individual elements of S1 and S2.

This is done as follows.

When S1 = 1 and S2 = {1,2,3,4,5,6}

Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6

Sum = 2, 3, 4, 5, 6, 7

When S1 = 2 and S2 = {1,2,3,4,5,6}

Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6

Sum = 3,4,5,6,7,8

Using the same pattern as used above

When S1 = 3 and S2 = {1,2,3,4,5,6}

Sum = 4,5,6,7,8,9

When S1 = 4 and S2 = {1,2,3,4,5,6}

Sum = 5,6,7,8,9,10

When S1 = 5 and S2 = {1,2,3,4,5,6}

Sum = 6,7,8,9,10,11

When S1 = 6 and S2 = {1,2,3,4,5,6}

Sum = 7,8,9,10,11,12

Writing out the Sum, will give us the sample space.

Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}

The sample space has a total of 36 elements

To calculate the probability of obtaining the sum of 10,

We have to count the number of 10's in the sample space

Number of 10 = 3

Probability = Number of 10 / Number of Sample Space

Probability = 3 / 36

Probability = 1/12

Probability = 0.0833

Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833

Answer: 3: $3.50 for one pound

4: The value of X is 10

5: P has the value of 2

Step-by-step explanation:

Answer:

The two numbers are 23 and 28

Step-by-step explanation:

We are given that

[tex]X = Y + 5\\and\\(X+Y) + 9 = 60\\X+Y = 51\\(Y+5) + Y = 51\\2Y + 5 = 51\\2Y = 46\\Y = 23\\\\X = Y + 5\\X = 23 + 5\\X = 28[/tex]

Answer: -120085

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 chaperones for every 24 students or 3:24

so that would be 1 chaperone for every 8 students

Answer:

A.) 8.5 miles

Step-by-step explanation:

I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.

Hope this helped.

The shortest distance between the two houses is 13 miles.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.

Given, The base is 12 miles and the height is 5 miles.

Therefore by Pythagoras' theorem,

Hypotenuse = √(5² + 12²).

Hypotenuse = √(25 + 144).

Hypotenuse = √(169).

Hypotenuse = 13 miles.

So, The shortest distance between the houses is 13 miles.

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2/3 is 6/9 so 2/9 was poured out...

if 4 gallons is 2/9ths it would be

4*2+2

8+2

10gallons