The number of calories consumed from an apple is directly proportional to the number of apples eaten. If 4 apples contain 380 total calories, how many apples would you have to eat to reach a total of 1,045 calories?

Answers

Answer 1

Answer:

Step-by-step explanation:

The direct proportion equation is y = kx which reads, "y is directly proportional to x". k is the constant of proportionality. In our case, we read this is as, "the number of calories is directly proportional to the number of apples eaten." Our equation would look like c = ka. We first are given that a = 4 and  = 380. We will use that to solve for k:

380 = k4 so

k = 95. Now that know the value of k, we will use that along with the number of calories (1045) to find the number of apples, a:

1045 = 95a so

a = 11

This means that it will be 11 apples that contain 1045 calories.


Related Questions

inverse sin of 13/7?

Answers

Answer:

0.03213586

Step-by-step explanation:

Please help me to solve the question!​

Answers

Answer:  (x - 3)² + (y + 0.5)² = 3.25    →    [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

Step-by-step explanation:

Concentric means they have the same center but different radii.

The equation of a circle is:  (x - h)² + (y - k)² = r²    where

(h, k) is the center of the circler is the radius of the circle

Complete the square to find the center of the circle

x² - 6x + _____  + y² + y + _____ = 1 + ____ + ____

    ↓                              ↓

-6/2 = -3                    1/2 = 1/2

Equation: (x - 3)² + (y + 1/2)² = r²

Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².

(x - 3)² +  (y + 1/2)² = r²

(4 - 3)² + (-2 + 1/2)² = r²

  (1)²    +  (-3/2)²    = r²

   1      +     9/4      = r²

                 13/4     = r²

Equation: (x - 3)² + (y + 1/2)² = 13/4    →   [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

In decimal form: (x - 3)² + (y + 0.5)² = 3.25

How many solutions does the following equation have?
3z + 9 + 142 = 4z + 5
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions

Answers

Answer:

Step-by-step explanation:

3z + 9 + 142 = 4z + 5

3z + 151 = 4z + 5

-z + 151 = 5

-z = -146

z = 146

answer is B

exactly one solution

3/4 + (-2 1/2) on a number line.. select the location on the number line to plot the sum.. HURRYYYYY

Answers

Answer:

the answer is -1 3/4

Step-by-step explanation:

Determine whether the equation is always, sometimes, or never true. 6(x + 1) = 2(5 + 3x)

Answers

Answer:

never true

Step-by-step explanation:

6(x + 1) = 2(5 + 3x)

distribute

6x + 6 = 10 + 6x

combine like terms by subtracting 6x and 6 from both sides

0 = 4

that is not a true statement, so this equation is never true

what is the value of y?

Answers

Answer:

y +43⁰ +123⁰ =180⁰

=) y +160⁰ =180⁰

=) y = 20⁰

Answer:

Y = 34

Step-by-step explanation:

y + 43 + 123 = 180

y + 146 = 180

180 - 146. = y = 34

Y = 34

Abraham purchased a living room set for $3,742 using an 18-month deferred payment plan with an interest rate of 18.79%. What is the balance after the deferment period if no payments are made?
a.) $4,844.77
b.) $4,949.50
c.) $3,742.00
d.) $4,445.12

Answers

The answer is b I think

Find the coordinates of the midpoint of the segment with endpoints (-8,5) and (4, -3)​

Answers

Answer:

[tex]MP= (-2,1 )[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]

yesterday jack drove 33 1/2 miles. He used 1 1/4 gallons of gasloine

Answers

Jack then had an accident and he went to the hospital where he proceeded to have an awfully painful death

scientist measured water pressures of different depths she measured the table showing her findings the X values represents the deepest death matters the Y value represents the pressure in atmospheres​

Answers

Answer:10,2

Step-by-step explanation:

Answer:

the answer you are looking for is A

Step-by-step explanation:

someone.. anyone ? and tell me if the answer is 7: 13 because I'm guessing it is either 7:13 or 7:20 ​

Answers

Answer:

The ratio is 7:13

Step-by-step explanation:

Simplify the expression. 40 – 2 • 3²

Answers

The answer is 22 :) I hope that helped

What is the answer to -4x = 12

Answers

Steps to solve:

-4x = 12

~Divide -4 to both sides

x = -3

Best of Luck!

Answer:

x=-3

Step-by-step explanation:

-x=12/4

-x=3

×=-3

A letter in the word ACCEL is chosen. What is the theoretical probability of choosing a C?

Answers

Answer:

there are 5 letters in all and 2 c's.. 2/5 2 out of every 5 times

A scale factor of 3 was applied to this figure. What would be the new length of the height and width of the triangle?

Answers

Answer:

height: 9 units

width: 9 units

Step-by-step explanation:

Which statement describes the inverse of m(x) = x2 – 17x?

Answers

Answer:

The correct option is;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]

Which can be simplified as follows;

[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]

And further simplified as follows;

[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.

Answer:

b

Step-by-step explanation:

edge 2021

Enter the equation of the line in slope-intercept form. Slope is 4, and (3,4) is on the line. The equation of the line is y=

Answers

Answer:

y= 4x - 8

Step-by-step explanation:

hope this helps :)

FOLLOW MY TIKT0K booonkbm PLEASE THANKS AND SHARE MY VIDIOS​

Answers

i- i just want points so sure

Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be aware of when this road will be used by multiple buses. The 157 bus leaves every 33 minutes. The 183 bus leaves every 6 minutes. All buses start service at 9:00. Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?

Answers

The bus one did did fue did. If did si. Nieve is ibdheie. Lie

20 points!!!! please help fast!!!!

Answers

Answer:

0 m/s

Step-by-step explanation:

The line is flat so there is no movement

Answer:

b

Step-by-step explanation:

on this graph a horizantal line means no speed because there is no change in distance

I not sure how to find the value of the letters ​

Answers

Answer:

a = 31°

b = 66°

Step-by-step explanation:

Reason for the answer to a:

It is an alternate angle. So, a = 31°.

Reason for the answer to b:

It is also an alternate angle. So, b = 35° + 31° = 66°.

June charges $27.95 per oil change and $9.50 per tune up each week he does 40 oil changes and 15 tune ups . how much money did June make in a week?​

Answers

I think it should be $1,262.5??? If not I’m so sorry

. an 8 degree rise in temperature

Answers

That's increased level of warming

Find the value for k. then find the angle of the triangle

Answers

Answer:

Answer:

k=135

Step-by-step explanation:

180=45+k

-45 -45

_________

135=k

is -3.16227766017 a rational or irrational number?

Answers

Answer:

rational

Step-by-step explanation:

If the given decimals are all there is, then you can express this number as a ratio (=fraction), i.e.,:

[tex]\frac{-316227766017}{100000000000}[/tex]

i don't get it (solve)

Answers

a = 60
2 x 60 = 120
2 x 60 = 120
60 + 60 = 120
It adds up to 360

What is the answer to X(x+7)

Answers

Answer:

[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{x(x + 7)}[/tex]

Distribute x through the parentheses

[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]

Hope I helped!

Best regards! :D

Can someone plz help with both of these

Answers

Answer:

Domain: (-5<x<-2) (1<x≤3]

Range: (-3<x<4) [-1≤x<2)

Step-by-step explanation:

(Explained another post by same asker)

(also this isnt interval notation, you would remove the <,≤, and x from it and keep the parenthesis and brackets were I put there were)

Find the square root of 784 using prime factorization.

Answers

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

Answer:

28

Step-by-step explanation:

784=2×2​×2×2​×7×7​⇒784 ​=2×2×7=28

!!50 POINTS!!
What are the measures of

Answers

Step-by-step explanation:

It A because Acute is smaller then Obtuse that what I look at

Answer:

It A

Step-by-step explanation:

Can I please get brainliest?

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