Lorenzo ate 3.5 slices of an extra large pizza and consumed a total of 1008 calories. What is the constant of proportionality that relates the number of slices, x, to the number of calories, y?

Answer:

Total distance cover = 12t miles

Step-by-step explanation:

Given:

Priya's speed = 12 miles per hour

Total time taken = t hours

Find:

Total distance cover

Computation:

Distance = speed x time

Total distance cover = 12 x t

Total distance cover = 12t miles

Answer:

Step-by-step explanation:

Given line with points (-6, -3) and (6, -7)

Slope intercept form:

We can see on the graph that y-intercept is b = -5

The slope is found using slope formula:

Th equation is:

Answer:

8

Step-by-step explanation:

mystery number= x

he divdes x by 2 and then subtracts 9 and gets -5. reverse the order to find x.

-5+9 which is 4 times 2 which is 8. x is 8

Answer:

A,B,E

Step-by-step explanation:

I took the test on edge

The statements that are true regarding the transformation are:

The rule for the transformation is (x, y) → (–x, –y).

The coordinates of L' are (–2,–2).

The coordinates of N' are (–1,–6).

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, A rotation of a point on the coordinate system for 180 degrees about the origin results is,

⇒ (x, y) → (-x, -y).

Given that;

The coordinate of L is (2, 2),

Then, the coordinates of L' is (-2, -2).

And, the coordinates of N is (1, 6),

then the coordinate of N' is, (-1. -6)

Therefore, the statements that are true regarding the transformation are:

The rule for the transformation is (x, y) → (–x, –y).

The coordinates of L' are (–2,–2).

The coordinates of N' are (–1,–6).

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Answer:

25.37

Step-by-step explanation:

Write a function:

f(t)=840e^{rt}

f(t)=840e

rt

Continuously uses Pe^(rt)

-0.05

r: decays 5%→−0.05

per day

f(t)=840e^{-0.05t}

f(t)=840e

−0.05t

(where t is in days)

10 weeks→10⋅7→70 days

There are 7 days in a week

Plug in t=70

f(70)=840e^{-0.05(70)}

f(70)=840e

−0.05(70)

25.3658020747

≈25.37

The answer would be 0.4 in decimal form

Answer:

6/55

Step-by-step explanation:

In these type of problems you mus keep, change, flip

[tex]\frac{3}{5} * \frac{2}{11}[/tex]

Now, multiply across

[tex]3*2[/tex]   /   [tex]5*11[/tex]   =  [tex]\frac{6}{55}[/tex]

Hope this helps :)

Answer:

24 cups of chocolate chips

Step-by-step explanation:

Since this is a proportion problem and there is only one variable that needs to be found we can use the Rule of three to solve this problem. To do this we simply divide the diagonal values by the last value which would ultimately give us the value of the variable in question, like so...

4 cups of chocolate chips  <=======> 2 batches of cookies

x cups of chocolate chips  <=======> 12 batches of cookies

(4 * 12) / 2 = 24 cups of chocolate chips

Therefore, we can now see that we would need a total of 24 cups of chocolate chips to make the 12 batches of cookies.

Answer:

distributive property

Step-by-step explanation:

hope i helped.

Answer: John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the object's potential energy.

Step-by-step explanation:

Calculate the potential energy for a 2 kg basketball dropping from a height of 3.5 meters with a velocity of 9.8 m/sec².

Step-by-step explanation:

A) Given the initial height of plant = 20cm

Percent increase monthly = 4%

increment after x month = (4% of 20)x

increment after x month = (0.04*20)x

increment after x month = 0.8x

The height after x month = initial height + increment

The height after x month = 20 + 0.8x

Hence an equation that model the growth of the plant is 20+0.8x

B) To get the height of the plant after 5 months, we will substitute x = 5 into the modeled equation in A as shown;

H(x) = 20+0.8x

H(5) = 20 +0.8(5)

H(5) = 20+4

H(5) = 24cm

hence the height of the plant after 5minths is 24cm

Answer:

The percent as a part to whole ratio is Start Fraction 10 over 100 end fraction

The percent as a part to whole ratio is start fraction 160 over 100 end fraction.

There are 250 students in the school

Step-by-step explanation:

In the Juniour park school there are 160 students and out of these only 10 percent students play musical instruments. The fraction are start with 10 and end 100 is the correct. The ration of the students playing the musical instruments is 10 percents.

Answer:

B C E

Step-by-step explanation:

Answer:

120 + 20π

Step-by-step explanation:

Find the image of the question attached.

For the square;

Perimeter of a square = 4L

L is the side length of the square

From the diagram, L = 10

Perimeter of a square = 4(10) = 40

Perimeter of 3 squares = 3(40) = 120

For the semicircles:

Perimeter of a semicircle = 2πr/2 = πr

From the diagram;

L = radius of the semicircle = 10

Perimeter of a semicircle = π(10)

Perimeter of a semicircle = 10π

Perimeter of the two semicircles = 2(10π) = 20π

perimeter of the shape = perimeter of 3squares + 2 semicircles

perimeter of the shape = 120 + 20π

Answer:

Is there's supposed to be x or somethin... well I got  -40

Step-by-step explanation:

-3=-15 - 0+ 2 - 30

-3=-15+2-30

-3=-45+2

-3=-43

+3   +3

___________-

0=-40

Hope this helps :D

Answer:

X=24 Y=32 Z=96

Step-by-step explanation:

Answer:

the 1st=24

the 2nd=32

the 3rd=96

Responder:

Los 8.57m

Explicación paso a paso:

La configuración será un triángulo rectángulo donde la distancia de la rampa a la entrada es el lado de la base (adyacente)

Dado

La altura de la rampa (opuesta) = 0,75 m

Ange de elevación = 5 °

Según TOA;

Tan theta = opp / adj

Tantheta = 0,75 / adj

Bronceado 5 ° = 0,75 / adj

adj = 0,75 / tan5 °

adj = 0,75 / 0,08749

adj = 8.57m

Por lo tanto, la rampa estará a 8.57m de la entrada.

Answer:

59,0

Step-by-step explanation:

Trust me also on edge

The Magnitude of forces is 59 pounds and Direction angles of forces is  0

The magnitude of force refers to the sum of all the forces that are acting on an object. If all the forces are acting in the same direction, then the magnitude of the force increases. If the forces are acting on an object in different directions, then the magnitude of the force decreases.

To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.

According to the question

Two forces of 17 and 42 pounds both acting in the horizontal direction on a single object.

i.e,

F1 = 17 pounds

F2 = 42 pounds

Now,

As, magnitude of force refers to the sum of all the forces

Direction is also same

Magnitude : 17 + 42 = 59 pounds

Now,

The Direction angles : 0

As they are having same direction so angle will be 0 .

Hence, The Magnitude of forces is 59 pounds and Direction angles of forces is  0

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Answer:

75$

Step-by-step explanation:

Answer: 72.4

Step-by-step explanation:

Fraction of six-grade students that have at least one pet = 2/5

Number of sixth graders at Brunswick Elementary school = 181

The number of sixth graders that own own pets will be:

= 2/5 × 181

= 72.4

Answer:

D

Step-by-step explanation:

8x7x5= 280

Answer: 36 units

Step-by-step explanation:

Just answered it

Answer:

12 feet

Step-by-step explanation:

Since you place the ladder on TOP of the building, the bottom of the ladder would be at the top of the building, and the building is 12 feet high

Let's solve your equation step-by-step.

13(8x−5)−4=−3

Step 1: Simplify both sides of the equation.

13(8x−5)−4=−3

(13)(8x)+(13)(−5)+−4=−3 (Distribute)

83x+−53+−4=−3

(83x)+(−53+−4)=−3 (Combine Like Terms)

83x+−173=−3

83x+−173=−3

Step 2: Add 17/3 to both sides.

83x+−173+173=−3+173

83x=83

Step 3: Multiply both sides by 3/8.

(38)*(83x)=(38)*(83)

X = 1

Answer: x = 1

Step-by-step explanation

Answer: The argument is valid by the law of detachment

Step-by-step explanation:

The law of detachment simply states that when the hypothesis is true, then the conclusion must also be true.

In this case, the argument is valid since the conclusion that "Quadrilateral JKLM is a square" follows from the argument that "a quadrilateral is a square, then the quadrilateral has four right angles".

The law of detachment is expressed here.

Answer:

This argument is not valid because the conclusion does not follow from the premises.

Step-by-step explanation:

test complete and It is not the Argument is valid by the law of detachment.

Answer:

The x-intercepts of the function are [tex]x = 3[/tex] and [tex]x = -5[/tex].

Step-by-step explanation:

We are given the function [tex]\displaystyle f(x) = x^2 + 2x - 15[/tex].

In order to find the x-intercepts of the equation, we need to solve this quadratic. We can use factoring methods to solve it.

The parent function for a quadratic is [tex]f(x) = ax^2 + bx + c = 0[/tex].

We can use this information to determine what factoring technique we want to use.

There are several different methods, including using the quadratic formula, but because this is easily factorable, we can avoid using it.

We see that our a is equal to 1 (there is no coefficient in front of x²), so we can use the easier of the techniques:

Therefore, let's determine what our c is: 15.

Now, let's label the factors for 15.

Therefore, our two factors are 3 and 5 since they cannot be broken down any further (they are prime numbers - we just performed prime factorization).

Now, we need to pay attention to the sign for c. It's negative, so one of our factors needs to be negative. Therefore, we can test this out:

Now, we check for which one matches the sign for b. This is positive 2, so our two factors are 5 and -3.

Finally, to factor, we add or subtract the factors from x depending on the sign. If the factor is positive, we add it. If the factor is negative, we subtract it. Therefore, we can set up our equations.

[tex]x + 5 = 0\\\\x = -5[/tex]

[tex]x - 3 = 0\\\\x = 3[/tex]

Therefore, for when x = 3 or x = -5, the line crosses the x-axis. These are the x-intercepts of the function.

Our answers are x = -5 and x = 3.