2.25 ÷ 2.5 (Long division Work)

Answer:

Option B

Step-by-step explanation:

In order to prove that segment DE is not parallel to segment BC, Karen takes an indirect way, that is she assumes that DE is parallel to BC, then by using the basic proportionality theorem,

[tex]\frac{AD}{AB}=\frac{AE}{AC}[/tex]

Now, AD=6, AB=AD+DB=8, AE=7 and AC=10

therefore, [tex]\frac{6}{8}=\frac{7}{10}[/tex] according to basic proportionality theorem, but in actual, [tex]\frac{6}{8}{\neq}\frac{7}{10}[/tex].

Thus, DE is not parallel to BC, therefore Option B is correct.

Answer:

B, 6:8 ≠ 7:10.

Step-by-step explanation:

Answer: 39.25 miles per gallon.

Step-by-step explanation: To find miles per gallon, divide 314 miles by 8 gallons =

39.25 miles per gallon.

The answer is 39.25

note: if your teacher wants a fraction instead of a decimal, then it would be 157/4

=============================

Explanation:

Divide 314 over 8 to get 314/8 = 157/4 = 39.25

----

You can think of it as the ratio

314 miles: 8 gallons

(314/8) miles: (8/8) gallons <--- divide both parts by 8

(157/4) miles: 1 gallon

39.25 miles: 1 gallon

Meaning you can drive 39.25 miles on one gallon of gas

Answer:

Option D. mortgage

Step-by-step explanation:

A loan given to people who are purchasing real estate is called mortgage.

Answer:

D. mortgage

Step-by-step explanation:

-Amortization loan is a loan in which the payments are applied to the principal and the interests.

-Real estate loan is a loan that people use to buy real estate.

-House loan refers to a loan people use to buy a home.

-Mortgage is a type of loan that financial institutions provide for people  to buy a property.

According to this, the answer is mortgage.

You get 5x=y. The larger the x, the larger the y. So, this is a direct variation.

Answer:

2 fluid ounces.

Step-by-step explanation:

202.5 divided by 6 = 33.75 (1 fluid ounce)

33.75 x 2 = 67.5.  (68)  

if the cylinder has a diameter of 8, its radius is half that, or 4.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=20 \end{cases}\implies V=\pi (4)^2(20)\implies V=320\pi \\\\\\ V\approx 1005.3096\implies V=\stackrel{rounded}{1005}[/tex]

The formula of a cylinder:

[tex]V=\pi r^2H[/tex]

We have the diameter d = 8m and height H = 20m.

d = 2r therefore r = 8m : 2 = 4m. Substitute:

[tex]V=\pi(4^2)(20)=\pi(16)(20)=320\pi\ m^3\approx 320\cdot3.14\approx1005m^3[/tex]

Final answer:

The ratio of monkeys to chimpanzees is 17 to 12. For the televisions in Largo City homes, the ratio is 1 to 9. Three ratios equal to 7 over 35 are 1 over 5, 2 over 10, and 3 over 15. Lastly, the simplest form of the tickets ratio is 3 to 4.

Explanation:

To write a ratio for the situation in three ways, comparing the first quantity to the second quantity for a zoo that has 17 monkeys and 12 chimpanzees, you would use the following ratios:

For the scenario where one in every nine homes contains four televisions in Largo City:

Writing three ratios equal to 7 over 35:

To find the ratio in the simplest form of the number of tickets Jeanne sold to the number of tickets Jake sold when Jake sold 28 tickets and Jeanne sold 21 tickets:

Answer:

The flight from Baltimore to Miami

has a duration around 2 hours and 50 minutes

Step-by-Step Explanation:

Google

2hr 50min duration with at least 12+ flights per day

Question

what value of p makes the equation true? 3/4p + 1/6 = 37/60

Answer:

Step-by-step explanation:

3/4p + 1/6 = 37/60

3/4p = 37/60 - 1/6

3/4p = 9/20

p = 9/20 : 3/4

p = 9/30 * 4/3

p = 3/5

-------------------

check

3/4 * 3/5 + 1/6 = 37/60

37/60 = 37/60

the answer is good

Answer:

[tex]-\frac{-5}{32} *4=- \frac{5}{8}[/tex]

Step-by-step explanation:

Answer:

- 5/8

Step-by-step explanation:

To solve you would do - 5/32 times 4/1 to get 20/32, then you would simplify to get 10/16, then you would simplify that to get - 5/8.

Area of a circle:

[tex]A=\pi r^2[/tex]      "r" is the radius

Since you know [tex]A=196\pi[/tex] in², you can plug (196[tex]\pi[/tex]) for "A" in the equation

[tex]A=\pi r^2[/tex]

[tex]196\pi=\pi r^2[/tex]  Divide pi on both sides

196 = r²     Square root both sides

14 = r

The exact length of the circle's radius is 14 inches.

The formula to calculate the area (A) of a circle is given by:

[tex]A = π * r^2[/tex]

where "r" is the radius of the circle.

In this case, we are given that the area of the circle is 196π square inches. So we can set up the equation:

196π = π * [tex]r^2[/tex]

To find the radius (r), divide both sides of the equation by π:

[tex]r^2[/tex] = 196

Now, solve for the radius:

r = √196

r = 14

Therefore, the exact length of the circle's radius is 14 inches.

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Answer:

y = 1/4x-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

m is the slope and b is the y intercept

but we do not know the slope y know the x intercept

(4,0 )

and  the y intercept

( 0,-1)

We can calculate the slope  using these points

m = (y2-y1)/ (x2-x1)

   = (-1-0)/(0-4)

    = -1/-4

    = 1/4

Now we can put the slope = 1/4 and the y intercept =-1 into the formula

y = 1/4x-1

y=1/4x-1 I think is the answer to that question

Answer:

60%

Step-by-step explanation:

Add both of the results

Answer:

B. Helps you make a plan to resolve financial issues.

Step-by-step explanation:

Because a credit counselor 'counsels' you on your credit.

Answer:  B. securities I hope this helps

Step-by-step explanation:

999

Answer:

Alright well find the parabola with focus (0,2) and directrix y = - 2 So the Answer to the question is

x^2 = 8y    Hope this helps have a nice day :)

Step-by-step explanation:

Answer:

the answer is (B) y = 1/8 x^2.

Step-by-step explanation:

Answer:

im pretty sure thats B

Step-by-step explanation:

let's recall, complementary angles add  up to 90°, therefore

[tex]\bf (20w+15)+(10w)=90\implies 30w+15=90\implies 30w=75 \\\\\\ w=\cfrac{75}{30}\implies w=\cfrac{5}{2} \\\\[-0.35em] ~\dotfill\\\\ 20w+15\implies 20\left( \cfrac{5}{2} \right)+15\implies 50+15\implies \blacktriangleright 65 \blacktriangleleft \\\\\\ 10w\implies 10\left( \cfrac{5}{2} \right)\implies \blacktriangleright 25 \blacktriangleleft[/tex]

Answer:

Option B. 5.5 ft²

Step-by-step explanation:

Perimeter of the square piece of land = length of fence required

4(length of a side of the square) = 24 ft

Length of a side = 6 ft

Area of the square land = (Side)²

= 6²

= 36 square ft

Area of the side walk = Area of the square - [Area of two triangles separated by the sidewalk]

= 36 - [[tex]\frac{1}{2}(\text{Area of the square})+\frac{1}{2}(\text{Base})\tmes (\text{height})[/tex]]

= 36 - [[tex]\frac{36}{2}+\frac{1}{2}(6-1)(6-1)[/tex]]

= 36 - (18 + 12.5)

= 36 - 30.5

= 5.5 ft²

Therefore, Option B. is the correct answer.

Answer: 70 units

One way to find this answer is to get a very large number line (perhaps from -100 to 100; counting by 1s) and count out the number of spaces from -57 to 13. This method is impractical because it would take a long time.

A shorter method is to subtract the values and make the result positive. So we could say -57 - 13 = -70 which has an absolute value of 70. Or we can say 13 - (-57) = 13 + 57 = 70. Either way, the distance between the values on the number line is 70 units.

Answer:11 more students

Step-by-step explanation:we do 46 minus 35 and we get 11

Answer: There are 11 more second graders who play softball

Step-by-step explanation:

1)make a equation

46-35

2)solve

11

3)answer

There are 11 more second graders

To determine the original price before a 30% discount resulted in a sale price of $206.50, we calculate the sale price as 70% of the original price, leading to the original price being $295.00.

If the discount is 30% and the sale price is $206.50, we need to determine the original price before the discount. To do this, we first understand that the sale price represents 70% of the original price, because a 30% discount has been applied. Thus, to find the original price, we can set up the following equation where original price × 70% = $206.50.

Converting 70% to decimal form, we get 0.70. The equation then becomes original price × 0.70 = $206.50. To find the original price, we divide both sides of the equation by 0.70:

Original price = $206.50 / 0.70

Original price = $295.00

Therefore, the original price of the item before the 30% discount was applied is $295.00.

Answer:

44%

Step-by-step explanation:

Here's the equation: Account= principle x time x  interest rate. In this problem, it would be $62 = $28 times 5 times X. $62=140x. 0.44. 44%.

It would be $0.68.

To find it, divide the cost by the weight. So, the equation would be 3.40/5 or 3.40 divided by 5.

The cost per pound of potato would be $0.68.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that  5 pound bag of potatoes cost $3.40

Then the cost per pound of potato .

We have to divide the cost by the weight.

So, the equation would be;

3.40 divided by 5.

3.40/5 = 0.68

The cost per pound of potato would be $0.68.

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Answer:

Step-by-step explanation:

3.6/10=3.3/5

получется 3 целых 6 десятых сокращаем и получается 3 целых 3 пятых

Answer:

Down below,

Step-by-step explanation:

First the 2nd question,

In 3 hours, Jamal hiked 6 miles, while Rubi hiked 7.5 miles. For a ratio, you could do 2.5:2 as Rubi hiked 2.5miles an hour while Jamal hiked 2 miles an hour.

For the 3rd question,

Rubi had a greater speed as he walked .5 miles an hour faster, as shown in the ratio above.

Hope i could help you, i would appreciate if you gave me brainliest, have a good day

[tex]Domain:\ a\neq0\ \wedge\ b\neq0\\\\\dfrac{y}{a}-b=\dfrac{y}{b}-a\qquad\text{multiply both sides by ab}\\\\by-ab^2=ay-a^2b\qquad\text{add}\ ab^2\ \text{to both sides}\\\\by=ay+ab^2-a^2b\qquad\text{subtract}\ ay\ \text{from both sides}\\\\by-ay=ab^2-a^2b\\\\(b-a)y=ab(b-a)\qquad\text{divide both sides by}\ (a-b)\neq0\\\\y=ab\\\\Answer:\ a\in\mathbb{R}-\{0\},\ b\in\mathbb{R}-\{0\},\ a\neq b,\ y=ab\\\\Example:\\a=2,\ b=3\to y=(2)(3)=6\\\\substitute\ to\ the\ equation:\\\\L_s=\dfrac{6}{2}-3=3-3=0\\R_s=\dfrac{6}{3}-2=2-2=0\\\\L_s=R_s[/tex]

Answer:

its -i

Step-by-step explanation: just did the assignment

In the given case we can conclude that Using the laws of exponents, we can simplify i³ as 1

The laws of exponents, also known as the rules of exponents, are a set of fundamental mathematical principles that govern the manipulation and simplification of expressions involving exponents. These rules are essential for working with exponential functions and equations. Here are the basic laws of exponents.

Using the laws of exponents, we can simplify i³ as follows:

i³ = i * i * i

Since we know that i² = -1, we can substitute -1 for i² in the expression:

i³ = -1 * i * i

Next, we can use the associative property of multiplication to rearrange the expression:

i³ = -1 * (i * i)

Finally, we recognize that (i * i) is equal to i² = -1, so the expression simplifies to:

i³ = -1 * -1

Therefore, i³ = 1.

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Answer:

The angle is in quadrant one because one rotation is 360° and it’s just 45° more than 360°.          

Q1

Answer:

D) How fast you are moving

While all the others are useful information (except C), you are trying to solve for your speed, or mph. How fast you are moving is also solved using mph (or something like it).

speed = mph = how fast you are moving ∴ speed = how fast you are moving

~

Answer:

Choice A

Step-by-step explanation:

You need the distance and the time, which are D and T respectively. The speed or rate is R = D/T. You divide the distance over the time. Example: if run 10 miles in 2 hours, then your speed is R = D/T = 10/2 = 5 mph.

Choice A is correct because we need the distance.

Choice B is close to knowing the time T, but we would need to know the duration and not when the stopwatch was clicked on. In other words, we need to know the difference in when it was started and stopped. Simply knowing the starting point isn't enough. We can cross this off the list.

Choice C is close to what choice A is saying, but choice A is more accurate. We can cross this off the list.

Choice D is what we want to know. If we know how fast we're moving, then there's no need to calculate the speed. So we can cross choice D off the list as well.