Ellie read 30 pages of her social studies book in 1.5 hours at a constant rate. She then switched to reading a novel and read 150 pages in 2 hours at a constant rate. Wh at percent of Ellie’s social studies reading rate is her Novel reading rate?

Answer:

50 pairs

With the sum of 99, we will get 50 pairs whole numbers. Why? Therefore, if you're going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99

First find out the ares of the square

10×10

100

Square Area = 100

Next, find the length of the sides of the triangle

16-10= 6

10-6= 4

Multiple the sides of the triangle a divide by two

6×4

24

24÷2

12

Add both the area of the square and triangle together

100+12

112

The area of the figure is 112

Answer:

Step-by-step explanation:

10x10=100in (Area of square )

(10-6)x6/2=12in (Area of triange )

100+12=112in

Answer:

18 km/h

Step-by-step explanation:

Let S km be the distance between ports M and N, x km/h be the speed of the motorboat in still water. Then x-2 km/h is the speed of the motorboat upstream and x+2 km/h is the speed of the motor boat downstream.

1. The motorboat traveling downstream covers the distance between port M and port N in 6 hours, then

[tex]\dfrac{S}{x+2}=6[/tex]

2. Once, the motorboat stopped 40 km before reaching N, turned around, and returned to M. This took the motorboat 9 hours. Then

[tex]\dfrac{S-40}{x+2}+\dfrac{S-40}{x-2}=9[/tex]

From the first equation [tex]S=6(x+2)=6x+12.[/tex] Substitute it into the second equation:

[tex]\dfrac{6x+12-40}{x+2}+\dfrac{6x+12-40}{x-2}=9,\\ \\\dfrac{6x-28}{x+2}+\dfrac{6x-28}{x-2}=9.[/tex]

Now

[tex]\dfrac{(6x-28)(x-2)+(6x-28)(x+2)}{(x-2)(x+2)}=9,\\ \\(6x-28)(x-2+x+2)=9(x^2-4),\\ \\(6x-28)\cdot 2x=9x^2-36,\\ \\12x^2-56x-9x^2+36=0,\\ \\3x^2-56x+36=0,\\ \\D=(-56)^2-4\cdot 3\cdot 36=2704,\\ \\x_{1,2}=\dfrac{56+\sqrt{2704}}{2\cdot 3}=\dfrac{56\pm52}{6}=\dfrac{2}{3},\ 18.[/tex]

The speed of the motorboat cannot be less than the speed of the current, thus, x=18 km/h.

The speed of the motorboat in still water if the speed of the current is 2 km/hour is 18 km/hour.

Suppose the distance between port M and N =d

Suppose the speed of the motorboat in still water =x

The speed of the current =2 km/h (given)

So, the downstream speed of the boat = (x+2)

Upstream speed of the boat = (x-2)

Speed is the distance covered in unit time.

According to the question, a motorboat travelling downstream covers the distance between port M and port N in 6 hours.

This means, [tex]\frac{d}{x+2} =6[/tex]

So, [tex]d=6(x+2)[/tex]

Distance covered by the motorboat when the motorboat stopped 40 km before reaching N = d-40

=[tex]6(x+2)-40[/tex]

=[tex]6x-28[/tex]

So, [tex]\frac{6x-28}{x+2} + \frac{6x-28}{x-2} =9[/tex]

So, [tex]x=18[/tex]

[tex]x=\frac{2}{3}[/tex](not possible)

Therefore, the speed of the motorboat in still water if the speed of the current is 2 km/hour is 18 km/hour.

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The midsegment is half the length of the base.

1) 32 ÷ 2 = 16

So, 16 is the midsegment

2) 11 ÷ 2 = 5.5

So, 5.5 is the midsegment

3) 32 ÷ 2 = 16

So, 16 is the midsegment

4) 14 ÷ 2 = 7

So, 7 is the midsegment

The map tells you 1 inch = 0.5 miles.

Multiply each dimension on the map by 0.5 to get the miles, then add them together:

House to Sports store = 2 x 0.5 = 1 mile.

Sports store to Jay's house = 3.75 x 0.5 = 1.875 miles.

Jay's house to park = 1.5 + 0.5 = 2 inches x 0.5 = 1 mile.

Total distance = 1 + 1.875 + 1 = 3.875 miles.

The total distance covered in miles is; 3.875 miles

From the map, we see that;

1 inch = 0.5 miles.

Now, total distance in inches is;

D = 2 + 3.75 + 1.5 + 0.5

D = 7.75 inches

Using the given conversion rate to miles, we have;

D = 7.75 * 0.5

D =  3.875 miles.

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1,680 inches. This is the answer.

Answer:

Yes

Step-by-step explanation:

Multiply 4/5 so that they have a common denominator.

14/15 > 12/15 (4/5)

yes, 14/5 is larger than 4/5

Answer:

256/81

Step-by-step explanation:

The exact form is 256/81.

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

We have the following expression:

[tex](- \frac {3} {4}) ^ {- 4}[/tex]

We can rewrite it as:

[tex](- \frac {3} {4}) ^ {- 4} = \frac {1} {(- \frac {3} {4}) ^ {4}} = \frac {1} {\frac { 3 ^ 4} {4 ^ 4}} =[/tex]

Applying double c we have:

[tex] \frac {4 ^ 4} {3 ^ 4} = \frac {256} {81}[/tex]

Answer:

Option D

Answer:

he earns $24 a hour

Step-by-step explanation:

31,200 divide by 52 (that is how many weak's are in a year) = 600

600 divide by 24 = 24

:)

Ms. Juarez earns $24 per hour.

To determine how much Ms. Juarez earns each hour, we need to find her annual salary first.

Since Ms. Franklin earns $31,200 per year and Ms. Juarez earns the same amount annually, Ms. Juarez also earns $31,200 per year.

Next, we calculate the number of hours Ms. Juarez works in a year. She works 25 hours per week, and there are 52 weeks in a year:

Weekly hours x Number of weeks = Total yearly hours

25 hours/week x 52 weeks/year = 1,300 hours/year

To find her hourly wage, we divide her annual earnings by the number of hours she works in a year:

Annual salary / Total yearly hours = Hourly wage

$31,200 / 1,300 hours = $24 per hour

Therefore, Ms. Juarez earns $24 per hour.

The mode would be best because it describes the color used most often.

Answer:

Mode because its the number shown most.

Step-by-step explanation:

Answer:

The answer is D

(x=3, y=8)

Step-by-step explanation:

We want to reduce as many variable as we can so, we can obtain the value for the remaining variables.

Therefore, the first equation y=x+5 multiply it -2., you have -2y=-2x-10 and sum it to the second (2y-x=13), you will obtain the following: -x=13-2x-10.

You have x=3.

If you substitute x=3 in the first equation, you have y=8

Answer:

40 mph

Step-by-step explanation:

120/3=40

Answer: [tex]\frac{1}{r^{7} } +\frac{1}{s^{12} }[/tex]

Step-by-step explanation:

With negative powers, [tex]r^{-7}  = \frac{1}{r^{7} }[/tex]

do the same for s too

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

We have the following expression:

[tex]r^{-7} + s ^{-12}[/tex]

We can rewrite it as:

[tex]\frac {1} {r ^ 7} + \frac {1} {s ^{ 12}}[/tex]

Finally:

[tex]r ^ {- 7} + s ^ {- 12} = \frac {1} {r ^ 7} + \frac {1} {s ^ {12}}[/tex]

Answer:

Option D

7 students watch less than 3 hours of tv a day.

Hope this helps.

You should just count the x's in slots 0, 1, and 2, so the answer should be 7 (or however many those 7 x's represents)

Answer:

Step-by-step explanation:

Let p represent the number of calories in a peach and g the number of calories in an orange.  

Then p = g + w.

From this we get g = p - w.

In words:  "The number of calories we get from an orange is equal to p, the number of calories from a peach, less w calories."

Answer:

1/4

Step-by-step explanation:

Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6

The probability of getting odd numbers on both is:

3/6 ⋅ 3/6 = 9/36 = 1/4

Answer:

[tex]x=-1;\ y=8\\x=5;\ y=2[/tex]

Step-by-step explanation:

You can make both equations equal and solve for the variable x, as you can see below:

[tex]-x+7=0.5(x-3)^2[/tex]

Keep on mind that:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Then:

[tex]-x+7=0.5(x-3)^2\\-x+7=0.5(x^2-2(x)(3)+3^2)\\-x+7=0.5x^{2}-3x+4.5\\0=0.5x^2-2x-2.5[/tex]

Apply the quadratic formula:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-2)+/-\sqrt{(-2)^2-4(0.5)(-2.5)}}{2(0.5)}\\x=-1\\x=5[/tex]

Substitute each value into one of the originl equations to find y, then:

[tex]y=-(-1)+7=8\\y=-5+7=2[/tex]

Answer:

The solutions are (-1,8) and (5,2).

Step-by-step explanation:

Answer:

Solution 1

(x,y) = (-1,3)

Solution 2

(x,y) = (1,5)

Step-by-step explanation:

To easily solve this question, we use a graphing tool, or a calculator to plot each graph.

The solution of the system of equations corresponds to the intersection between both graphs

f(x)=x^2 + 4/4x + 3

g(x)=|x+4|

Please see image below

Solution 1

(x,y) = (-1,3)

Solution 2

(x,y) = (1,5)

Graphical methods or numerical methods such as Newton's method are used to approximate the solution(s) to the system of equations represented by f(x) and g(x) to the nearest tenth of a unit.

To approximate the solution(s) to the given system of equations f(x) = x^2 + 4 / (4x + 3) and g(x) = |x + 4| using technology, one can employ a graphing calculator or graphing software. By plotting both functions on the same set of axes, the point(s) of intersection represent the solution(s) to the system. To find the approximate solution to the nearest tenth, it may be necessary to use the graph's zoom and trace features to accurately determine the x-values where the two graphs intersect.

If this graphical method is insufficient, numerical methods such as Newton's method can provide a more precise approximation.

Answer:

366 muffins

Step-by-step explanation:

28 x 12 = 336

5 x 6 = 30

336 + 30= 366 muffins

The total number of muffins the store ordered is, 366

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each.

Hence, Number of banana muffins is,

⇒ 28 x 12 = 336

And, Number of blueberry muffins is,

⇒ 5 x 6 = 30

Thus, The total number of muffins the store ordered is,

336 + 30 = 366 muffins

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100% is always the full number so 113 is your answer

Hope this helps and have a blessed day

Answer:

88.5

Step-by-step explanation:

100:113*100 =

(100*100):113 =

10000:113 = 88.5

Answer:

169pi feet^2.

Step-by-step explanation:

The diameter = 26pi / pi = 26 feet and the radius = 13 feet.

The area  = pi r^2 = 13^2 pi

= 169pi feet^2

The area of the circle should be [tex]169\pi feet^2.[/tex]

The circumference is 26 pi feet

Since the circumference is 26 pi feet

We know that

Circumference = [tex]2\pi r[/tex]

So,

[tex]26\pi = 2\pi r[/tex]

So radius be 13

Now the area should be

[tex]= \pi 13^2\\\\= 169\pi feet^2[/tex]

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Answer: No

Step-by-step explanation:

Pythagorean Theorem goes with a right triangle, the formula is a^2+b^2=c^2.

Let's try this out with your values.

(18*18)+(12*12) = 468

If this is true than c^2 is 468

c^2 or (22*22) is 484 is this is not a right triangle.

Answer:

complementary angles

Step-by-step explanation:

Adjacent angles form a right angle.

A right angle is 90 degrees.

Two angles that add to 90 degrees are complementary.

The adjacent angles are complementary

Answer:

x = 5

Step-by-step explanation:

x/40 = 7/56

Reduce the right fraction.

x/40 = 1/8

Now cross multiply.

8x = 40

Divide both sides by 8.

x = 5

Answer:

The function intersects the y-axis at point (0.9) (vertex)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

[tex]y=a(x-h)^{2}+k[/tex]

where

(h,k) is the vertex of the parabola

if a>0 then the parabola open upward (vertex is a minimum)

In this problem we have

[tex]y-x^2=9[/tex] -----> [tex]y=x^2+9[/tex]

This is a vertical parabola open upward

The vertex is the point (0,9)

The vertex is a minimum

see the attached figure to better understand the problem

The graph does not intersect the x-axis (the function has no real roots)

The function intersects the y-axis at point (0.9) (vertex)

A) To find A in terms of B, we need to find A = xB. One given is A = 12 and B = 3. We substitute, which gives us 12 = x4. Divide both sides by 4, which gives us x = 3. This means that A = 3B.

B) For this, we can just plug in 5 as B in our equation. A = 3*5 -> A = 15.

C) We can plug in A as 36. 36 = 3B -> B = 12.

A.) The formula for A in terms of B is A = 4B. B.) When B = 5, A = 20. C.) When A = 36, B = 9.

A.) To find the formula for A in terms of B, we can set up a proportion using the given values. Since A is directly proportional to B, we can write the proportion as A/B = k, where k is the constant of proportionality. Substituting the values A = 12 and B = 3, we have 12/3 = k. Solving for k, we find k = 4. Therefore, the formula for A in terms of B is A = 4B.

B.) To find the value of A when B = 5, we can substitute B = 5 into the formula A = 4B. A = 4(5) = 20.

C.) To find the value of B when A = 36, we can rearrange the formula A = 4B to solve for B. Dividing both sides by 4, we get B = A/4. Substituting A = 36, we have B = 36/4 = 9.

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Answer:

20

Step-by-step explanation:

Area of Triangle = 1/2b*h

Area of Triangle = 1/2*4 2/3*8 4/7

Area of Triangle = 20

Answer:

Option B.

Technician A only

Step-by-step explanation:

Since we are talking about the most important function of a piston, the technician A is correct.

A piston is used to transfer force from expanding gas in the cylinder to the crankshaft , in an engine.

In a pump,  its purpose is compressing or ejecting the fluid in the cylinder.

Technician B is not correct, because piston rings are used for creating a seal between piston and cylinder walls.

Answer:

B. Technician A only

Step-by-step explanation:

PENN

Answer:

[tex]40x-72[/tex]

Step-by-step explanation:

we have

[tex]8(5x-9)[/tex]

Applying the distributive property

taking the outer term and multiplying it by each term inside the parenthesis

so

[tex]8(5x-9)=8*5x-8*9[/tex]

[tex]40x-72[/tex]

Answer:

[tex]8(5x - 9) = 40 x - 72[/tex]

Step-by-step explanation:

Let a, b, and c be any real number. Then

[tex]a(b + c) = ab + bc[/tex]

This is called the distributive property.

The given expression is

[tex]8(5x - 9)[/tex]

Or

[tex]8(5x + - 9)[/tex]

Let a=8, b=5x and c=-9

We apply the distributive property to obtain:

[tex]8(5x - 9) = 8 \times 5 x + 8 \times - 9[/tex]

We simplify to get:

[tex]8(5x - 9) = 40 x - 72[/tex]