(7TH GRADE MATH) Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
Wrote an equation to represent the relationship between the number of calories and the number of servings of granola. (think y=kx)

Answer:

-49%

Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

take the 2 numbers and find the difference

51 - 26 = 25

take the difference and divide it by the orginal number

25÷51 = 0.49019607843

then times that number by 100

(25÷51) × 100 = 49.0196078431

so the number was decreased by 49.0 %

Answer:

6060 feet

Step-by-step explanation:

6371-311=6060

Answer:

y = (-3/5)x + 4

Step-by-step explanation:

Parallel lines have the same slope.

So the slope to the other line would be -3/5 as well.

Slope-intercept form is y = mx + b where m is the slope.

So you substitute the slope in making it y = (-3/5)x+b.

To find b, the y-intercept, you have to plug in the point for y and x in it. So you use the point (5,1) for it. That would get to 1 = (-3/5)5 + b.

To simplify that, it would get to 1 = -3 + b

Then you add 3 on both sides getting to b = 4.

Then you substitute b in, getting y = (-3/5)x + 4.

Hope this helped! If not, please let me know! <3

An equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.

Given that, a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, the slope of a line parallel to given line is m1=m2

By comparing y= (-3/5)x -3 with y=mx+c, we get m= -3/5

So, the slope of parallel line is -3/5

Now, put m= -3/5 and (x, y)=(5, 1), that is

1=-3/5 (5)+c

c= 4

So, equation with m=-3/5 and c=4, we have y=-3/5 x+4

Therefore, an equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Answer:

Since your answer needs to be in walls per gallon I would assume you divide 4/5 by 5/8 since that would tell you how many walls he can paint in an hour.

4/5 walls÷5/8 gallons=1.28walls/gallon.

Step-by-step explanation:I hope this helps.  Let me know if anything is unclear.

Answer:

Step-by-step explanation:

The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.

The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.

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[tex] {k}^{2} + 8k + 22 = 6 [/tex]

Subtract sides 6

[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]

[tex] {k}^{2} + 8k + 16 = 0[/tex]

[tex] ({k + 4})^{2} = 0[/tex]

Thus ;

[tex]k + 4 = 0[/tex]

Subtract sides 4

[tex]k + 4 - 4 = - 4[/tex]

[tex]k = - 4[/tex]

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You should take off E and add C and D because perpenidcular bisector means not only does it form a right angle to the line, it also bisects it, or cuts it into 2 equal portions. Also, If you look at triangles BED and BEF, they are congruent as both have right angles and equal sides BE, and DE = EF. So, BD = BF.

E is wrong because you don't know if line AC is perpendicular to DA, nor do you know if it's parallel to DF. And you don't know if DA is parallel to BE either. You ONLY know that BE is the perpendicular bisector of DF.

Answer:

equation of the line: y=1/2x-1

slope :1/2x

y intercept: -1

Step-by-step explanation:

using y1-y2/x1-x2:

-1-0/0-2= -1/-2=1/2

the slope is 1/2.

plug in the numbers from the given points to find the y intercept:

-1=1/2•0+b

b= -1

the y intercept is -1.

with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.

so, the equation of the line is y=1/2x-1

Answer:

They intercept at (-4.5, -11.5)

Step-by-step explanation:

Answer:

3/5x + 4/5 = y

or

y = 3/5x + 4/5

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To find the y-intercept just need to put 0 instead of x in the equation.

[tex] - 3(0) - 4 = - 5y - 8[/tex]

[tex] - 4 = - 5y - 8[/tex]

Add sides 8

[tex] -4 + 8 = - 5y - 8 + 8[/tex]

[tex] 4 = - 5y[/tex]

Divide sides by -5

[tex] \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ [/tex]

[tex]y = - \frac{4}{5} \\ [/tex]

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To find the x-intercept just need to put 0 instead of y in the equation.

[tex] - 3x - 4 = - 5(0) - 8[/tex]

[tex] - 3x - 4 = - 8[/tex]

Add sides 4

[tex] - 3x - 4 + 4 = - 8 + 4[/tex]

[tex] - 3x = - 4[/tex]

Negatives simplifies

[tex]3x = 4[/tex]

Divide sides by 3

[tex] \frac{3}{3} x = \frac{4}{3} \\ [/tex]

[tex]x = \frac{4}{3} \\ [/tex]

Done...

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Answer:

where is the figure and without figure what to do

Answer:

I will

Step-by-step explanation:

one kilometer is equal to a hundred thousand centimeters

Answer:415.65

Step-by-step explanation:

Answer:

415.65

Step-by-step explanation:

trust me

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

Answer:1

Step-by-step explanation:

I found the factors and prime factorization of 38 and 49. The biggest common factor number is the GCF number. So the greatest common factor 38 and 49 is 1

Answer: The greatest common factor is 1

Step-by-step explanation:

49 is not even like 38 so the only one they have together in 1.

Answer:

6 pints

Step-by-step explanation:

I just asked Alexa

Answer:

35

Step-by-step explanation:

4x=64

divide that: =16

x=16

2(16)+3

35

IT LOOKS LIKE transtive:)))))

Answer:

D

Step-by-step explanation:

Answer:

the answer is -9 not 8

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

(x, y) = (3, 0)

0 = -2/3 (3) + b

0 = -2 + b

b = 2

y = -2/3 x + 2

Answer: A.

Answer:

y = - 2/3 + 2

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = - 2/3x + b   Input Slope

Step 3:

0 = - 2/3 ( 3 ) + b       Input x and y

Step 4:

0 = - 2  + b     Multiply

Step 5:

2 = b       Add 2 on both sides

Answer:

y = - 2/3 + 2

Hope This Helps :)

Answer:

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Step-by-step explanation:

Given,

Cups of blueberries used for 3 cups of strawberry = 2

Ratio of cups of blueberry to strawberry = 2:3

Joy wants to use 6 cups of blueberries.

Let,

x be the cups of strawberry for 6 cups of blueberries.

Ratio of cups of blueberries to strawberries = 6:x

Using proportion;

Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries

Product of extreme = Product of mean

Dividing both sides by 2

Answer:

The values of y for which the inequality is true are;

-4,-3,-2,-1,1,0,1

Step-by-step explanation:

Here, we want to give all the values of y for which the given inequality is true

We have the inequality as;

-5 < y < 2

This can be read as -5 is less than 5 which is less than 2

This means that the correct y-values lie between -5 and 2 which are not inclusive

So the correct values of y in this case are;

-4,-3, -2, -1 , 0, 1

Answer:

Step-by-step explanation:

Sara is faster she got a longer distance to Jorge

Answer:

TSA=115.5cm²

Step-by-step explanation:

T.S.A=3πr²

Given r=3.5cm

eq.

3×22/7×3.5×3.5

=3×22×0.5×3.5

=115.5cm²

Answer:

[tex]19.25cm^{2} \\[/tex]

Step-by-step explanation:

Formula

[tex]\frac{\pi r^{2} }{2}[/tex]

Solve

[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=

[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]

answer:1.935825×10 to the sixth power

step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

There are five touchdowns in the game

Answer:

x = -15/-3

Step-by-step explanation:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15