Question 15.
Which expression is equivalent to
(4x³ + 5x² + 2) + (3x² - 7x + 4)?

The question is an illustration of fraction division and Adam's age as a fraction of Zara's age is 7/5

The ages are given as:

Adam = 3 years and 6 months

Zara = 2 years and 11 months

Rewrite the ages in months

Adam = 3 * 12 + 6 = 42 months

Zara = 2 * 12 + 11 = 35 months

Adam's age as a fraction of Zara's age is calculated using:

Fraction = Adam/Zara

This gives

Fraction = 42/35

Simplify

Fraction = 7/5

Hence, Adam's age as a fraction of Zara's age is 7/5

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Answer:

srat

Step-by-step explanation:hehe i really dont know

Answer:

3.14km^2

Step-by-step explanation:

area of circle= πr^2

=3.14×1^2

=3.14km^2

Answer:

Step-by-step explanation:

Given:

Area of circle:

[tex]\Longrightarrow: \sf{A=\pi r^2}[/tex]

Solutions:

[tex]\Longrightarrow: \sf{3.14*1^2}[/tex]

Solve.

[tex]\sf{1^2=1*1=1}[/tex]

[tex]\sf{3.14*1=\boxed{\sf{3.14\ km^2}}[/tex]

I hope this helps, let me know if you have any questions.

The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.

On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.

Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.

Thus, slope of AC = slope of CE.

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Answer:

The answer would be 47/99

Step-by-step explanation:

Cos(angle) = adjacent leg/ hypotenuse

cos(angle) = 21/36

angle = arccos(21/36

Angle = 54.31

Angle = 54 degrees

Answer

B

Step-by-step explanation

Please give me brainlist.

Diameter be d

Radius be r

Diameter=2r=46.4(2)=92.8cm

The geometric series an = 400(1.05)^(n-1) has a common ratio and an initial term

The first four terms are a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

The geometric series is given as:

an = 400(1.05)^(n-1)

Substitute 1 for n

a1 = 400 * (1.05)^(1-1)

Evaluate the product

a1 = 400

Substitute 2 for n

a2 = 400 * (1.05)^(2-1)

Evaluate the product

a2 = 420

Substitute 3 for n

a3 = 400 * (1.05)^(3-1)

Evaluate the product

a3 = 441

Substitute 4 for n

a4 = 400 * (1.05)^(4-1)

Evaluate the product

a4 = 463.05

Hence, the first four terms are

a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05

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Answer:

a1 = 400

a2 = 420

a3 = 441

a4 = 463

C

Step-by-step explanation:

The percentage shows that they were 28% more likely to come from Riverdale High school.

From the information given, the percentage of those from Rockport will be:

= 25/(25 + 44) × 100.

= 25/69 × 100

= 36.23%

The percentage of those from Riverdale will be:

= 44/(25 + 44) × 100.

= 44/69 × 100

= 63.77%

Therefore, the difference will be:

= 63.77% - 36.23%

= 28% approximately.

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Answer:

b.

Step-by-step explanation:

We have been given a number 8¼. We are asked to find the opposite of the opposite of our given expression.

Since our given number in positive, so opposite of our given number will be:

–8¼

The opposite of new number will be:

–(–8¼)

Therefore, the expression –(–8¼) represents the opposite of the opposite of 8¼ and option 'b' is the correct

Answer:

r = 9 meters

Step-by-step explanation:

2r + 8 = 26 <== subtract 8 from both sides

    - 8     - 8

2r = 18 <== divide both sides by 2 to isolate the variable

/2    /2

r = 9 meters

Hope this helps!

Answer:

Step-by-step explanation:

To find the value of r, isolate it on one side of the equation.

[tex]\sf{2r+8=26}[/tex]

First, you have to subtract by 8 from both sides.

[tex]\sf{2r+8-8=26-8}[/tex]

Solve.

Subtract the numbers from left to right.

26-8=18

2r=18

Divide by 2 from both sides.

[tex]\sf{\dfrac{2r}{2}=\dfrac{18}{2} }[/tex]

Solve.

Divide the numbers from left to right.

18/2=9

r=9

I hope this helps. Let me know if you have any questions.

Answer:

1/3n-5

Step-by-step explanation:

n=1/3n

subtract 5

so the expression is 1/3n-5

Answer:

[tex]n\frac{1}{3}-5[/tex]

Step-by-step explanation:

Hey there!

This is the equation for your answer because you said that he finds 1/3 of n and then subtracts 5

Answer:

the answer to this question. is quadratic trinomial

Answer:

The answer is quadratic trinomial because it is to the power of 2, and has 3 terms.

Answer:

B & C

Step-by-step explanation:

Acute angles are sharp-like angle - they are measured between 1° up to 89°. That means acute angles have measurement starting from 1 to 89.

The shape of acute angles, as said, they are namely sharp angles because their vertex and lines form sharp shape.

So what you have to do is to find angles that look like a sharp pencil/pen, probably something that can be understandable:

Sharp-looking measurements are:

Keep in mind that ∠GFE is really an acute angle, but ∠HFE is a right angle.

Let’s look into more types of angles as shown in choices:

Hence, acute angles are ∠GFE and ∠DBA

The angles which are acute are ∠GFE and ∠DBA.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given three figures and corresponding angles.

We have to find the acute angles.

Acute angles are angles which measures less than 90 degrees.

An angle which measure 90 degrees is the right angle which stands vertically.

Acute angles are less than this.

From the figure and options, acute angles are ∠GFE and ∠DBA.

Hence the acute angles are ∠GFE and ∠DBA.

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Answer:

7525 milliliters

Step-by-step explanation:

because if you multiply 2150 by 3.5 you will get that number

Answer:

I've got lots of ratios for you.

4/14

6/21

8/28

10/35

12/42

14/49

16/56

18/63

To calculate a ratio, next time do this...

If you are comparing one (A) to another (B), your formula would be A/B.

This means you are dividing information A by information B.

For example, if A is 5 and B is 10, your ratio will be 5/10.

Simple as that.

YW!!

Answer:

1) 3:4. 2) 30:40. 3) 45:80

Step-by-step explanation:

15:20 CAN SIMPLIFEY BY 5  SO. 15/5 =3 20/5=4  SO OVERALL ITS 3:4

The horizontal distance that's traveled by the golf ball based on the velocity given is 138.56feet.

From the information given, the golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.

The distance will be:

= 160 × cos30°

=160 × 0.866

= 138.56 feet

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Answer:

95th term

Step-by-step explanation:

the nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = a₂ - a₁ = 8 - 2 = 6 , then

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

the 60th term is then

a₆₀ = 6(60) - 4 = 360 - 4 = 356

so 210 more than a₆₀ = 356 + 210 = 566

now equate [tex]a_{n}[/tex] to 566 and solve for n

6n - 4 = 566 ( add 4 to both sides )

6n = 570 ( divide both sides by 6 )

n = 95

Answer:

95th term.

Step-by-step explanation:

The sequence of 2, 8, 14, 20 . . . can be predicted by adding 6 to each successive term.  This can be written as 6n+2, where n starts at 0 for the first term.

n  Value  (6n+2)

0     2  

1      8

2     14

3     20

4     26

60   362

---

We want to know what term is 210 more than 362.  (362+ 210) = 572

We can solve by using the equation in reverse and solving for n:

(6n+2) = 572

6n = 570

n = 95

The 95th term (572) is greater than the 60th term (362) by 210.

Answer:

[tex]12\ gallons[/tex]

Step-by-step explanation:

Step 1:  Determine the unit rate

[tex]Miles / Gallons[/tex]

[tex]162\ miles / 9\ gallons[/tex]

[tex]18\ miles/gallon[/tex]

Step 2:  Determine the amount of gasoline used for 216 miles

[tex]216\ miles * (gallon / 18\ miles)[/tex]

[tex]12\ gallons[/tex]

Answer:  [tex]12\ gallons[/tex]

Answer:

12

Step-by-step explanation:

1. Figure out how many miles the car can go with one gallon of gasolline

162 ÷ 9 = 18

1 gallon = 18 miles

2. Figure out how many times 18 can go into 216

216 ÷ 18 = 12

12 gallons = 216 miles

*We do this because we know that every time the car drives 18 miles its uses another gallon of gas.

The car will use 12 gallons of gasoline to travel 216 miles.

Answer

See in pic

Step-by-step explanation:

Answer:

1008

Step-by-step explanation:

If 4/5 of eighth graders, or 80%, are enrolled with class, there are still 20% of students that didn't study. That means you add 168, the 20%,  and you'll get 1008.

add the degrees 90 and 25 which gives 115° and subtract to give 65°

I am subtracting by 180 because angle on a straight line is 180 hope this helps

Answer: y is 155⁰ X is 65⁰

Step-by-step explanation: y = 180⁰ - 25⁰

X = 180⁰ - (90 + 25) = 180 - 115= 65

Straight line triangle is 180

Total angle in a triangle 180

Answer:

143/63 or 2 and 17/63

Step-by-step explanation:

multiply the length times the width

13/9 x 11/7

Answer:

2

Step-by-step explanation:

Standard form of a circle   (x-h)^2 + (y-k)^2 = r^2

  this circle is already in this form

     the center will be at   h, k    or   7,10

       the radius^2 = 4     so radius = 2

Done!

Answer:

Step-by-step explanation:

Remark

If the trinomial is going to factor, it must factor as 5 and 1 paired with 3 and 1 as both 5 and 3 do not factor any further. They are prime numbers.

Let's try this:

(5x  +   1) ( 1x + 3)

Both factors must contain an + otherwise something in the given equation would be - when the factors are expanded.

It looks like this works. 5 * 3x + 1x = 16x

Answer:

500.00    equal

5 × 10      not equal

5 × 10²      equal

50.05     not equal

500.500      not equal

This is the answer of your question