Lynn and three friends estimated to find 29.11 ÷ 35. Their estimates are shown in the table below.



Whose estimate is best?

Answer:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers =  11 + 5.75h

3.2 hours

Step-by-step explanation:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers =  11 + 5.75h

22 + 4.50h =  11 + 5.75h

Collect like terms

22 + 11 = 4.5h + 5.75h

33 = 10.25h

Solve for h

33/10.25 = h

h = 3.22

Answer: C

Step-by-step explanation:

Answer:

y=3x-1

Step-by-step explanation:

Answer:

x = 8, y = 4

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

y = y

x - 4 = -0.5x + 8

x + 0.5x = 8 + 4

1.5x = 12

x = 12/1.5

x = 8

To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)

y = (8) - 4

y = 4

OR

y = -0.5(8) + 8

y = -4 + 8

y = 4

Answer:

- 20

Step-by-step explanation:

Given the expression

2b - 3ac ← substitute given values for a, b and c

= 2(5) - (3 × - 2 × - 5)

= 10 - 30

= - 20

Answer:

-20 is the required answer

Step-by-step explanation:

2b-3ac

=2×5-3×-2×-5

=10-30

=-20

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term.  You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy.  If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use.  Let's do it:

x² + 8x + 7

= x² + x + 7x + 7

= x(x + 1) + 7(x + 1)

= (x + 7)(x + 1)

Answer:

The answer is c

Step-by-step explanation:

your welcome

Answer:

The answer should be (-4,2)

Step-by-step explanation:

Answer:

slope: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula  [tex]\frac{rise}{run}[/tex] to solve this.

- write your formula

[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

- plug in your numbers

[tex]m=\frac{4-3}{0-(-2)}[/tex]

- solve

[tex]m=\frac{1}{2}[/tex]

I hope this helps!

Answer:19.2

Step-by-step explanation:

Answer:

Y= 1.5x

Step-by-step explanation:

What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)

I hope this will help

Answer:

Slope = -1/4

Y-intercept = 50

Step-by-step explanation:

Change in y/ change in x = slope

75/-100 = -1/4

For y, the numbers decrease 25 each time so the change in y is -25.

For x, the numbers increase 100 each time so the change in x would be 100.

The fraction you have left is -25/100

Now, you simplify -25/100 and you get -1/4.

The y-intercept is 50 because x is 0 at the same time in the chart.

Answer:

88.16

Step-by-step explanation:

You will have to use tan to solve it

The value of x round to the nearest tenth is,

⇒ x = 85

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Base of height = 500

Angle = 10°

Now, We can formulate;

⇒ tan 10° = x / 500

⇒ 0.17 = x / 500

⇒ x = 85

Thus, The value of x round to the nearest tenth is,

⇒ x = 85

Learn more about the triangle visit;

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The equivalent expression of h + 5 + 3 - 2h​ is -h+8.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We have the expression:

h + 5 + 3 - 2h​

To find the equivalent expression:

We simplify the expression,

h + 5 + 3 - 2h​

= h -2h +5+ 3

= -h +8

-h+8 is the equivalent expression of h + 5 + 3 - 2h​.

Therefore, -h +8 is the equivalent expression.

To learn more about the equivalent expression;

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Answer: you will have 56

Step-by-step explanation:

Answer:

100 hours

Step-by-step explanation:

Because 18 would be 1800 and then 19 would be 1900 and then 100 would be 2000

Answer:

First blank: 869x

Second blank: 17,575

D

Step-by-step explanation:

Men (f): 389x + 7500

Women (g): 480x + 10075

Equation: (f + g)

Equation: 389x + 7500 + 480x + 10075

Combine like terms

869x + 17575

Equation: 869x + 17,575

The correct matching will be given as A-1, B-3, and C-2.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The general equation is given below.

y = ax²

If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.

If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.

Graph A is upward and shrinks parabolas so the equation will be y = x⁸.

Graph B is downward parabolas so the equation will be y = -3x⁸.

Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.  

Then the correct matching will be given as A-1, B-3, and C-2.

More about the parabola link is given below.

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Answer:

c

Step-by-step explanation:

7/10

9514 1404 393

Answer:

  15/22 peso/m^2 ≈ 0.68182 peso/m^2

Step-by-step explanation:

The area is the product of the dimensions. 1 km = 1000 m.

  A = (550 m)(550·1000 m) = 302,500,000 m^2

The price per square meter is ...

  206,250,000/302,500,000 peso/m^2

  = 15/22 peso/m^2 ≈ 0.68182 peso/m^2

Answer: I think the value of x is 20 but im not sure

Step-by-step explanation:

no explanation here

Answer: 5 days

Step-by-step explanation:

Let the number of pallets that the tan gerbil eat be x.

Since the brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil and eats 30 pallets pee day. This will be:

(4 × x) - 10 = 30

4x - 10 = 30

4x = 30 + 10.

4x = 40

x = 40/4

x = 10

The tan gerbil eats 10 pallets per day.

Both gerbil eats (30 + 10) = 40 gerbils per day.

Since the family has 200 pallets of food left, the number of days that they can feed both of the gerbils would be:

= 200 / 40

= 5 days

Answer:

he can buy 5 quarts of milk

Step-by-step explanation:

Answer:

[tex]m = 200 + 20j[/tex]

[tex]r = 350 + 15j[/tex]

Number of jobs is 30

Step-by-step explanation:

Variable representation

Let Mark's total earnings for moving be m

Let Ryan's total earnings for moving be r

Represent the number of jobs with j

Setup equation

Mark:

[tex]Initial\ Savings = 200[/tex]

[tex]Rate = 20[/tex]

So, the total savings is:

[tex]m = 200 + 20j[/tex]

Ryan

[tex]Initial\ Savings = 350[/tex]

[tex]Rate = 15[/tex]

So, the total savings is:

[tex]r = 350 + 15j[/tex]

To get the number of jobs they save the same amount.

We have:

[tex]m = r[/tex]

Substitute values for m and r

[tex]200+20j = 350+15j[/tex]

Collect Like Terms

[tex]20j - 15j = 350 - 200[/tex]

[tex]5j = 150[/tex]

Divide both sides by 5

[tex]j = \frac{150}{5}[/tex]

[tex]j = 30[/tex]

Hence, the number of jobs is 30

Answer:

C

Step-by-step explanation:

the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.