A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side length of 9 feet. Determine the area of the larger rectangle.

Answer:

The equality is not true.

Step-by-step explanation:

[tex](4^2 +24) = |(3 - 7) - 16|[/tex]

[tex](16 +24) = |(3 - 7) - 16|[/tex]

[tex]40 = |(3 - 7) - 16|[/tex]

[tex]40 = |(- 4) - 16|[/tex]

[tex]40 = |-20|[/tex]

[tex]40 = 20[/tex]

But

[tex]40 \neq 20[/tex]

Answer: 4310

Step-by-step explanation: Because it is a positive exponent instead of negative, you would move the decimal to the right 3 places

Answer:

21- 2.50 = 18.50

he can only buy 3, 5 10 15. he can buy 9.

Answer:

The answer is 35000.

Step-by-step explanation:

Answer:

A. 10 times

Step-by-step explanation:

Answer:

A. Ten times.

Step-by-step explanation:

If it was one place to the right, it would have been one-tenth, so that's gone. If it was moved twice in place of either direction, it would be hundredths, so those are also eliminated. So, It's 10 times.

Answer:

$300

Step-by-step explanation:

You want to calculate the interest on $2500 at 4% interest per year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $2500.00.

r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 2500 × 0.04 × 3 to get that:

The interest is: $300.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 2500.00 + 300.00 = 2800.00

Answer:

f(3) = -9

Step-by-step explanation:

Given that,

→ f(x) = -7x + 12

Then the value of f(3) will be,

→ f(3) = -7(3) + 12

→ f(3) = -21 + 12

→ [ f(3) = -9 ]

Hence, the value is -9.

Step-by-step explanation:

a. 102

b. 78

c. 102

d. 102

e. 102

f. 78

Answer:

What is the starting temp?

Step-by-step explanation:

Answer and explanation:

To determine number if DVDs that can be bought for $20, we simply check price per DVD then calculate how many $20 can buy

Number of DVDs that can be rented for no more than $20

=$20 divided by cost of each DVD $3.50

=20/3.50

=5.714

=5 DVDs

We round down because 0.714 DVD does not qualify as one DVD

y = a(x - h)² + k   is the vertex form of an equation of a parabola with vertex (h,k)

We get the coordinates of the vertex of parabola from that form: (h, k)

We also know if the parabola goes up or down: a>0 or a<0

We can tell how many roots has the equation:

(a>0 and q>0) or (a<0 and q<0) ⇒ no roots

a≠0 and q=0  ⇒  one root:  x₀=p

(a>0 and q<0) or (a<0 and q>0) ⇒ two roots

We can also determine the roots (if they exist):

a(x - h)² + k = 0

a(x - h)² = - k

(x - h)² = - k/a

x - h = √[-k/a]     ∨   x - h = - √[-k/a]  

x = √[-k/a] + h     ∨   x = - √[-k/a] + h

Usually you use this form to find the equation of parabola when you have got given the vertex and some other point from that parabola.

Answer:

Chad's other friend pick 2 pounds of blue berries.

Step-by-step explanation:

Chad picked 2 pounds of blue berries.

One of his friends picked 1 pound of blue berries.

Totally there is 5 pounds.

So, other friend picked blue berries = 5-2-1 =2 pounds

We get answer as whole number. So no need to write it in mixed form.

The inequality is  0.75x greater than or equal to y

Step-by-step explanation:

Given : Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing.

To find : Which inequality represents this situation?

Solution :  He plays trumpet for a minimum of 45 minutes

If x is the number of days that Lionel practices then he practices for at least  

hours

y is the total number of hours he spends practicing

So, the inequality form is:

i.e, 0.75x is greater than y.

Answer:

a. the measure of angle A is 113 degrees

the measure of angle B is 67 degrees

Step-by-step explanation:

Remember, linear pairs have a sum of 180 degrees when added. So, if you add your angle measures and set it equal to 180, then you just need to solve from there.

7x-13+3x+13=180

combine like terms

(7x+3x)+(-13+13)=180

10x+0=180

10x=180

divide both sides by 10 to isolate x

x=18

now that you have x, plug it into your angle measures

m<a: 7(18)-13

126-13

113

m<b: 3(18)-13

54+13

67

Answer:

graph 1  

Step-by-step explanation:

Graph using table of values

x           y

2       -2/3

1         -4/3

0          -2

they are all on that graph

The graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2 is A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.

Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

According to the question

Represents a line with a slope of -2/3  

i.e ,

m = -2/3  

y-intercept equal to that of the line

y = [tex]\frac{2}{3}x-2[/tex]

i.e ,

at y-intercept , x = 0

y = -2

Now, Putting value in standard form of line

y = mx + c

-2 = 0 + c  

c = -2

now , substituting the values of m and c in standard form of line

y = mx + c  

y =  [tex]\frac{-2}{3}x-2[/tex] --------- (equation of graph )

Now ,

x             y

0            -2

3/2         1

3             0

Only option 4 have these points

Hence, The graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2 is A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).

To know more about slope and intercepts here:

https://brainly.com/question/19824331

#SPJ2

Answer:

Step-by-step explanation:

Given the rate at which the car elevation decreases expressed by the function

E(x) = -150x+13,500 where x is in minutes.

To evaluate E(5), we will substitute the variable x = 5 into the function as shown;

E(5) = -150(5)+13,500.

E(5) = -750+13,500.

E(5) = 13500-750

E(5) = 12750

This means that after 5minutes, the car elevation has decreased by 12,750feet

Answer:

t=1.06x+10 where x=The amount of tickets bought

Step-by-step explanation:

you multiply x by 1.06 to add the extra tax onto it.

You add the 10 to add the $10 booking fee

Answer:

adding the $35 with the $55 be up to 90 . I think that the answer to it hope is helpful

Answer:

It is easier to stay balanced

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the unknown number be x

[tex]75 \% \times x = 240 \\ \frac{75x}{100} = 240[/tex]

Cross Multiply

[tex]75x \times 1 = 100 \times 240 \\ 75x = 24000[/tex]

Divide both sides of the equation by 75

[tex] \frac{75x}{75} = \frac{24000}{75} [/tex]

Simplify

[tex]x = 320[/tex]

Answer:

320

Step-by-step explanation:

you would do [tex]\frac{75}{100}[/tex]*x=240

then you would multiply both sides by 100 and then divide both sides by 75 which woud give you x=240*[tex]\frac{100}{75}[/tex]

which would give you [tex]\frac{24000}{75}[/tex]=x

which then simplifies down to 320

Answer:

it's yes

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Parallel lines

Answer:

no solution

Step-by-step explanation:

easy way to remember parallel lines don’t touch.....no solution ever

Answer:

a) 15

b) 25

c) p = 15w + 25, where p is puppets and w is weeks

Step-by-step explanation:

a) Gepetto makes 15 puppets a week, so as the weeks increase by 1, puppets increases by 15, making the slope 15

b) Gepetto started out with 25 puppets. This means that when x = 0 (0 weeks), there will be 25 puppets already

c) The slope and y-intercept were incorporated into an equation in slope-intercept form.

Answer:

6

Step-by-step explanation:

6-1=5

5 x 5= 25

Answer:

0

Step-by-step explanation:

-7 + 7 should be equal to 0. Maybe you wrote the numbers or the sign wrong..?

Answer:

=0

Step-by-step explanation:

ese es la respuesta mijo