Determine three consecutive odd integers if the square of the largest integer is 33 less than the sum of the squares of the two smaller integers.

Answer:7,560cm

Step-by-step explanation: Area is found by multiplying each side by each other. 7 x 6 x 12 x 15=7560

7 x 6=42

12 x 15=180

180 x 42=7560

Answer:

73.5cm²

Step-by-step explanation:

area of trapezium is SOPS/2 × ph

sops is the sum of 15+6= 21/2×7

147/2 = 73.5cm²

Answer:

Bella's average velocity is approximately 0.61 m/s.

Step-by-step explanation:

To find velocity, we divide displacement (in this case, the same as the distance Bella traveled) by the time taken to travel this displacement.

Velocity = displacement/time

If we plug in the given values, we get:

Velocity = 2.5m/4.1s

Velocity = 0.6097561 m/s

Therefore, the correct answer is about 0.61 m/s.

Answer:

- 18x - 45

Step-by-step explanation:

=  12 (-2x + 3) - 3x + 9 (x - 9)

=  -24x + 36 - 3x + 9 (x - 9)

=  -24x + 36 - 3x + 9x - 81

=  -24x + 8x + 36 - 81

=  - 18x - 45

Answer:

Step-by-step explanation:

First, distribute,

12(-2x+3)-3x+9(x-9)

-24x+36-3x+9x-81

Now combine like terms,

Therefore, the answer is -18x-45

Answer:

2.375

Step-by-step explanation:

Assuming you mean [tex]2\frac{3}{8}[/tex]  (if you meant [tex]\frac{23}{8}[/tex] ignore this answer):

The first part is just 2. That's pretty easy. 2 wholes is 2.0

The 2nd part is 3 eights. Let's figure out how much 1 eight is.

We know it's half of 1/4, which is 0.25

So 1/8 is 0.125

3/8 is thus 3 of those, or 3 * 0.125 = 0.375

Now let's add both parts together.

2 + 0.375 = 2.375

Answer: 2.375

☆ We know that angles of triangle opposite of its equal sides are also equal

Here the information that we know about the given triangle is

So the angles opposite to the equal sides will be equal .

→ So one of those equal angle is x so other will also be x .

☆ Interior angle sum property states that sum of interior angles of triangle will be 180°

→ 80° + x + x = 180°

→ 2x = 180°-80°

→ 2x = 100°

→ x = 100/2

→ x = 50° .

The value of x in the triangle is 50°.

We have,

The given triangle is an isosceles triangle.

This means,

There are two equal sides and the angles opposite to the equal sides are also equal.

Now,

The sum of the three angles in a triangle is 180.

So,

80 + x + x = 180

80 + 2x = 180

2x = 180 - 80

2x = 100

x = 100/2

x = 50°

Now,

We can cross cheked.

80 + 50 + 50

80 + 100

180

True.

Thus,

The value of x in the triangle is 50°.

Learn more about triangles here:

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This may be the answer.

T = 464.

8 times 58 = 464, so we do inverse operations

Answer: Use inverse operations to isolate the t; (multiplication.)

t/8 * 8 = t

58 * 8 = 464

The equation now looks like this:

t = 464

There is nothing left to simplify, so this is your answer.

Hope this helps!

Answer:

Hey there!

p(x)=7x+25

7x+25=60

7x=35

x=5

Let me know if this helps :)

Answer:

So the width is 3.25

Step-by-step

If the perimeter of a rectangle is 300 and the length is two times the  

width, what are the length and the width?

*Please don't get upset if this is incorrect, I am in 9th grade and I have severe dyslexia and dyscalculia*

:)

Answer: Hi!

First, we should find the square root of 68, which is 8.25. (an easy way to find the square root for numbers like this is to just use the calculator, as we can't automatically tell what it is; 68 isn't a perfect square number.) Since we know know the square root we can easily evaluate the questions!

Our answer is c), since the points only span from 0 - 8 and the square root of 68 is 8.25. Since 8.25 is greater than 8, it would be outside of the points and to the right of point Q.

Hope this helps!

Answer:

lesser x =3

greater x =4

Step-by-step explanation:

f(x) = (x - 3)(2x - 8)

Set the function equal to zero to find the zeros

0  = (x - 3)(2x - 8)

Using the zero product property

0 = (x - 3)   0=2x - 8

Solve each  equation

3 = x          8 =2x

3=x            8/2 =x

                      4=x

lesser x =3

greater x =4

Answer:

w = 3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)​

-6w + 24 + 8w = 6w + 12

2w + 24 = 6w + 12

12 = 4w

3 = w

Answer:

w=3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)

-6w + 24 + 8W=6w + 12

24 + 2W=6w + 12

12=4w

3=w

Answer:

9.6

Step-by-step explanation:

Plugging in the info given, we get:

2(4) - (2/5)(-4) = 8 - (-8/5) = 8 + 8/5

From here, you need to make the denominators of both numbers the same in order to combine them further. Currently, as a fraction, it looks like this:

8/1 + 8/5

To make the denominators the same we can just multiply 8/1 by 5/5 (this is the same as multiplying by 1, which essentially allows us to change it's form without changing its value). Doing that gives:

(8/1)(5/5) + 8/5 = (8•5)/5 + 8/5 = 40/5 + 8/5

= (40+8)/5 = 48/5

So 48/5 is the answer. But the website wants you to put it into decimal form. This can be done using a calculator, but let's pretend we don't have one...

Decimals work by using whole numbers divided by multiples of 10 and can be visualized as moving a decimal left (or right) between numbers. For example:

1/10 = 0.1

4/10 = 0.4

23/10 = 2.3

13/100 = 0.13

59/1000 = 0.059 and so on.

So if we can multiply 48/5 by something to make the denominator some multiple of 10, we can simply move the decimal left once and that's our answer. 2/2 should work here:

(48/5)(2/2) = (48•2)/(5•2) = 96/10 or 96.0/10

96.0/10 = 9.6

So your decimal answer is 9.6.

Answer:

$305.00

Step-by-step explanation:

Use the formula I = prt, where I is the interest money created, p is the starting amount of money, r is the interest rate as a decimal, and t is time.

I = prt

I = 250(0.11)(2)

I = 55

Add 55 to the amount he borrowed:

250 + 55

= $305.00

Answer:

[tex]\huge \boxed{\mathrm{\$ \ 305.00}}[/tex]

Step-by-step explanation:

We can use the simple interest formula to calculate for the interest.

[tex]I=P \cdot r \cdot t \\ \\ \\ \sf I = interest \\ \\ P=principal \ amount \\ \\ r=rate \ (\%) \\ \\ t=time \ (years)[/tex]

Calculating the interest over the two years:

[tex]I=250 \cdot 11\% \cdot 2 \\\\ I=250 \cdot 0.11 \cdot 2 \\\\ I=55[/tex]

Adding the interest to the principal amount:

[tex]\Rightarrow 250+55 \\ \\ \Rightarrow 305[/tex]

Jess will owe the bank $305.00 at the end of the 2 years.

At 9p.m.(after 4hours)

Step-by-step explanation:

1h. 1h. 1h. 1h

henry:60. 90. 120. 150. 180

gordon:20. 60. 100. 140. 180

you can find it by using this way.i think it will be help for you.

Answer:

9 p.m.

Step-by-step explanation:

Given:

To find:

Let the required time = x

For Henry:

For Gordon:

Since they require the same time and same number, we have:

The start time was 5 p.m., we need to add 4 hours to this to get 9 p.m.

Answer: At 9 p.m. they will get the same number of cranes

Origin lies on intersection of both acis x and y

Origin: (0,0)

Answer:

[tex]\Large \boxed{\mathrm{Both}}[/tex]

Step-by-step explanation:

The origin is the intersection of the x-axis and the y-axis.

The origin lies on both x-axis and y-axis.

Earth is 4:1 and moon is 1:4of earth

Answer: The Athletic can other 12  volleyballs.

Step-by-step explanation:

If the director has $277 to spend then it means The director can spend at most $277.

Now one volleyball cost $22 and so we could represent the number of volleyballs you can buy by the expression 22x  and including the shipping fee,we will extend the expression to 22x + 13  Now since the Director can spend  up to $277 or less we can write the whole situation in a form of inequality as,

22x + 13 ≤ 277  Now solve for x to determine the number of volleyballs  

          -13   -13

22x  [tex]\leq[/tex] 264

x [tex]\leq[/tex] 12  

Answer:

[tex] 2.58 \times {10}^{8} [/tex]

Step-by-step explanation:

[tex]9.3. {10}^{7} - 3.4. {10}^{6} \\ = (27 \times 10 - 12) \times {10}^{6}\\ = (270 - 12) \times {10}^{6} \\ = 258 \times {10}^{6} \\ = 2.58 \times {10}^{6 + 2} \\ = 2.58 \times {10}^{8} [/tex]

Answer: i don't know

Step-by-step explanation:

what is this

also i need points! sry

Answer:

Train P : [tex]t_{P} =\frac{330}{55}=6\ \text{hours}[/tex]

Train Q : [tex]t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}[/tex]

Step-by-step explanation:

The formula to compute the distance traveled by a train is:

[tex]d=s\times t[/tex]

Here,

d = distance traveled

s = speed of the train

t = time taken

From the provided information:

Train P :

d = 330 km

s = x km/h

Then time taken is:

[tex]t=\frac{d}{s}=\frac{330}{x}[/tex]

Train Q :

d = 330 km

s = (x - 5) km/h

[tex]t=\frac{330}{x}+\frac{1}{2}[/tex]

Both the trains traveled the same distance.

[tex]x\times \frac{330}{x}=(x-5)\times [\frac{330}{x}+\frac{1}{2}]\\\\330=\frac{330(x-5)}{x}+\frac{x-5}{2}\\\\330\times 2x=[660(x-5)+x(x-5)]\\\\660x=660x-3300+x^{2}-5x\\\\x^{2}-5x-3300=0\\\\x^{2}+60x-55x-3300=0\\\\x(x+60)-55(x+60)=0\\\\(x-55)(x+60)=0\\\\x=55[/tex]

Compute the time taken by the two trains as follows:

Train P : [tex]t_{P} =\frac{330}{55}=6\ \text{hours}[/tex]

Train Q : [tex]t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}[/tex]

Hello!

Answer:

[tex]\huge\boxed{x = -32}[/tex]

3/4x = -24

To isolate the "x" variable, divide both sides by 3/4 (multiply by its reciprocal, or 4/3)

3/4x · 4/3 = -24 · 4/3

x = (-24 · 4) / 3

x = -32.

Answer:

x = -32

Step-by-step explanation:

To solve an equation with a fraction, we multiply by the denominator on both sides of the equation and then solve like a normal algebraic equation.

3/4x = -24 Multiply by 4 on both sides of the equation.

4(3/4)x = -4(24) Distribute.

3x = -96 Divide by 3 on both sides of the equation.

x = -32

Answer:

4.79

Step-by-step explanation:

4.79 is reasonable for the problem

The price of one paint set before the sale is $4.79

We are expected to determine the price of one paint set before the sale.

From the information given:

∴

The amount at which Yuri bought 1 paint set is:

[tex]\mathbf{= \dfrac{\$6.88}{2.0}}[/tex]

= $3.44

Recall that during the sale, the store reduce the price of each paint set by $1.35

Therefore, the price of one paint set before the sale is = $3.44 + $1.35 = $4.79

Learn more about word problems here:

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Answer:

7.814 * 10^6

Step-by-step explanation:

Move the decimal point (which is at the end of the number) six places to the left so that you have one non-zero digit to the left of the decimal point. The number of places it is moved to the left is the exponent. Since it is moved to the left it is a positive exponent.

When completing the square, the goal is to create

a perfect square trinomial on the left side of the equation.

The number used to create one will come from

half the coefficient of the middle term squared.

In this case, that's half of 2 squared or 1 squared, which is 1.

So we add 1 to both sides giving us x² + 2x + 1 = 5.

From here, we set this as a binomial squared.

The first term is an x and the second term will

be half the coefficient of the middle term squared.

So we have (x + 1)² = 5.

Now square root both sides and remember to use plus or minus.

So we have x + 1 = ±√5.

Now subtract 1 form both sides to get x = -1 ± √5.

Answer:

3.4561 and 3.4562

Step-by-step explanation:

there are uncountable infinitely many numbers...

Answer:

Answer is 3.456 , 3.456.

Step-by-step explanation:

3.456=3.4560

3.457=3.4570

then numbers between 3.45610 and 3.4570

is - 3.4561 , 3.4562 , ..........., 3.4570

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Greetings from Brasil...

According to the statement of the question, we conclude that the area of a square is requested, whose value is 171 in²

The area of a square is given by the expression:

A = S²

where S is the side of the square - just what we want to know

So:

A = S²

171 = S²

√171 = S

Answer:

It is A ( read below )

Step-by-step explanation:

There are two VERY similar looking ap3x questions, this one is A but if you look closely on the rightside triangle the angle may say 24 not 25. This is why!

The corresponding angles of the triangles ΔABC and ΔDEF will be the same. Thus, the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The corresponding angles of the triangles ΔABC and ΔDEF will be the same.

And the ratio is calculated as,

6/8 = 7.5/10

3/4 = 3/4

Thus, the correct option is A.

More about the triangle link is given below.

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Answer:

( 3/2, 12) is the midpoint

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

( -5+8)/2 = 3/2

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

( 5+19)/2 = 24/2 = 12

( 3/2, 12) is the midpoint

Answer:

B. x² + 4

Step-by-step explanation:

(0+/-√-16)2

+/- 4i / 2

+/- 2i

Answer:

B

Step-by-step explanation:

(x + 2i)(x - 2i)

= x² - 2ix + 2ix - (2i)²

= x² - 4i²

= x² -4(-1)

= x² + 4