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Answer:

28 years

Step-by-step explanation:

Sum of the years of Lance , Ted, Rosalinda = 39 + 22 +45 = 106 year

Sum of the years of Lance , Ted, Rosalinda & Erik = 33.5*4 = 134.0 year

Age of Erik = 134 - 106 = 28 years

Answer: 3

This is the answer if you think its wrong i don't know its correct i got it right

Answer:

64 meals

Step-by-step explanation:

24 ÷ 3/8

= 24 x 8/3

= 192/3

= 64 meals

Answer:

C. 4(x-3)

Step-by-step explanation:

Answer:

x=-3

<ABD=88

<CBD=23

Step-by-step explanation:

We know that <ABC is made up of 2 angles: <ABD and <CBD.

We also know that the m<ABC is 111.

Therefore, <ABD and <CBD added together must equal 111.

<ABD+ <CBD =111

We know that <ABD is -10x+58 and <CBD is 6x+41, so we can substitute these in.

-10x+58+6x+41=111

Combine like terms

(-10x+6x)+(58+41)=111

-4x+99=111

Now we need to solve for x. First, move all the constants to the same side. Subtract 99 from both sides, since 99 is being added to -4x.

-4x+99-99=111-99

-4x=12

Next, divide both sides by -4, since -4 and x are being multiplied.

-4x/-4=12/-4

x=-3

Now we know x, and can substitute it in to find the angle measures.

<ABD

-10x+58

-10(-3)+58

30+58

88

<CBD

6x+41

6(-3)+41

-18+41

23

[tex]m \angle ABD = 88^{\circ}\\m \angle CBD = 23^{\circ}[/tex]

Given:

m∠ABC = 111∘

m∠ABD = (-10x+58)∘

m∠CBD = (6x+41)∘

First, find the value of x by creating an equation

Thus:

[tex]m\angle ABD + m \angle CBD = m \angle ABC[/tex] (angle addition postulate)

Substitute

[tex](-10x+58) + (6x+41) = 111[/tex]

Solve for x

[tex]-10x+58 + 6x+41 = 111[/tex]]

Add like terms

[tex]-10x+58 + 6x+41 = 111\\-4x + 99 = 111\\-4x = 111 - 99\\-4x = 12\\[/tex]

Divide both sides by -4

[tex]x = -3[/tex]

Find m∠ABD and m∠CBD by plugging in the value of x

[tex]m\angle ABD = -10x + 58 \\m\angle ABD = -10(-3) + 58 \\m\angle ABD = 88^{\circ}[/tex]

[tex]m \angle CBD = 6x + 41\\m \angle CBD = 6(-3) + 41\\m \angle CBD = 23^{\circ}\\[/tex]

Therefore:

[tex]m \angle ABD = 88^{\circ}\\m \angle CBD = 23^{\circ}[/tex]

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Answer:

Step-by-step explanation:

No of cubes that can fit into rectangular prism =   Volume of rectangular prism

                                                                                   Volume of cube

Find the volume of rectangular prism and divide that by the volume of cube

Answer:

D

Step-by-step explanation:

if something is multiplied by 1.025 it is increasing by 2.5 percent

Answer:

D , 2.5%

Step-by-step explanation:

1.025 - x = 1; x = .025; as a percent = .025 * 100 = 2.5%.

Answer:

The loan was $28184.81

Step-by-step explanation:

Let the loan amount be x

Rate of interest on Loan = 9%

Time = 8 years

Amount of loan over 8 years = $56160

Formula : [tex]A=P(1+r)^t[/tex]

Where A = Amount =56160

P = Principal = x

r = rate of interest = 9% = 0.09

t = time = 8 years

Substitute the values in the formula :

So,[tex]56160=x(1+0.09)^8[/tex]

[tex]\frac{56160}{(1+0.09)^8}=x[/tex]

$28184.81=x

Hence The loan was $28184.81

Answer:

i think the correct answer is c sorry if im wrong

Answer:

The perimeter of the triangle could not be 24 - which is our solution.

Step-by-step explanation:

The first approach to this problem that comes to my mind, is to find the most " restricting " triangles possible. By that I mean the largest length of the side greater than 6 and the side less than 6.

The length of the side greater than 6 has to be less than 12 - considering it has to stretch the sum 6 + 6 - by the Triangle Inequality Theorem. Therefore, the most restricting triangle possible to the 1st decimal place should be the following -

{ 6, 5.9, 11.8 } ... the catch here is that this triangle does not need to be composed of lengths being whole numbers. If that was true the most " restricting " triangle would have lengths { 6, 5, 10 } throwing you off track as it's perimeter is 21.

{ 6, 5.9, 11.8 } adds to a sum of 23.7, eliminating answer choice c. Therefore, we can conclude that the perimeter of the triangle can't be 24. In fact this is only to the first decimal place, you could be more specific and go to the 100th decimal place even. Either way, the perimeter of the triangle has to be less than 24.

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

-3x - 3 <-63

Add 3 to both sides:

-3x-3+3 < -63+ 3

Simplify:

-3x < -60

Multiply both sides by -1:

(reverse the inequality)

(-3x)(-1) > (-60)(-1)

Simplify:

3x > 60

Divide both sides by 3:

3x/3 > 60/3

Simplify:'

x > 20

Your Answer Is x > 20

plz mark me as brainliest if this helped :)

The given graph shown in the image is of function y = cotx. Option D is correct.

Given that,
To determine the function whose curve is plotted in the graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.

Thus, the given graph shown in the image is y = cotx. Option D is correct.

Learn more about graphs here:

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The total value of his large assets is $53,900.

Assets are defined as the possessions that a person or the company holds which has a value which affects positively for the person or the company.

Given that,

Amount in a checking account = $900

Amount as investments = $15,000

Amount for the car = $8000

Amount for the house = $30,000

Total value for the assets = $900 + $15,000 + $8000 + $30,000

                                           = $53,900

Hence the total value of the asset is $53,900.

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Answer:

9

Step-by-step explanation:

13.5 / 1.5 = 9

Answer:

[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]

Given:

Distance travelled = 13.5 miles

Time taken = 1.5 hours = 1.5 × 60 = 90 minutes

Step-by-step explanation:

[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]

Answer:

4608 ft2

To find the volume of a prism, you have to multiply the area*base*height.

So in this case you have (8*8)*8*9.

That results in, 64*8*9.

You multiply them and get 4608 ft2.

Have a nice day!

Answer:

By using the Pythagorean Theorem, we know that the length of the slide is 17 ft.

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this equation.

[tex]a^2+b^2=c^2[/tex]

a = 8

b = 15

Now, let's plug in these numbers so we can know the length of the slide.

[tex]8^2+15^2=c^2\\64+225=c^2\\289=c^2\\\sqrt{289}=\sqrt{c^2}\\17=c[/tex]

So, the length of the slide is 17 ft which is answer choice C.

Answer:

a^2 + b^2 = c^2

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

[tex]\sqrt{289}[/tex] = c

17

Answer:

Answer is option

Options are related to find the angle of JLK

Step-by-step explanation:

[tex]we \: know \: that \: the \: angle \\ \: in \: a \: circle \:i s \: 360 \: degrees. \\ angle \: of \: JLK = 360 - (given \: angle) \\ \: \: \: \: = 360 - 154 \\ \: \: \: \: = 206 \: degrees[/tex]

Here the given angle is 154 degrees.

Hence the answer is option b) 206 degrees .

HAVE A NICE DAY !

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

135 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h(a + b)

where h is the height and a, b the parallel bases

Here h = 9, a = 13 and b = 17 , thus

A = [tex]\frac{1}{2}[/tex] × 9 × (13 + 17)

   = 0.5 × 9 × 30

   = 135 cm²

Answer:

I believe the answer is 24

Answer:

The area of the triangle is 24 units2

Step-by-step explanation:

To find an area of a triangle you simply have to multiply a and b which are the legs of a triangle, in this case it would be 6 and 8, after doing that you divide the result by 2. So A= 6x8/2 ---> A=48/2 -----> A=24

Answer:

75.36

Step-by-step explanation:

3.14(pi) x 24(diameter) = 75.36(circumference)

The polynomial in descending order would be:

x^12 + 3x^7 + 4x^3-9x.

It all has to do with their degrees (exponents).

I don't know what the answer choices are because you didn't post them, but that is the answer.

I hope this helps.

Answer:

Attention for the conditions:

[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]

Step-by-step explanation:

we have

[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]

So the solutions are 5 because x>0

Answer:

The width of the pathway is:

Step-by-step explanation:

To identify the width of the pathway, you must remember the area formula of a rectangle:

From which the width can be cleared:

We know that the length of the terrain was not modified since the pathway is in the perimeter of the rectangle (16 m) and that the new area is 240 m^2, so we only have to replace the cleared formula:

The new width is equal to 15 meters, but since the question is not the total width but the width of the pathway, the width of the previously provided land must be subtracted from the value obtained.

Answer: 1= between 0 and 1. 2= greater than 1. 3= equal to 1

Step-by-step explanation: I just did the warm up

Answer:

Dilation 1 has a scale factor

✔ between 0 and 1

.

Dilation 2 has a scale factor

✔ greater than 1

.

Dilation 3 has a scale factor

✔ equal to 1

.

Step-by-step explanation:

Answer:

The ball will be able to reach the 16 ft.

Step-by-step explanation:

In order to calculate if the ball will be able to reach that height, we must make "h" equal to 16, if there's a real positive solution, then the ball will be able to reach it.

16 = -16t² + 35t

16t² - 35t + 16 = 0

t = [-(-35) +- sqrt((-35)² - 4*16*16)]/(2*16)

t = [35 +- sqrt(1225 - 1024)]/32

t = [35 +- sqrt(201)]/32

t = (35 +- 14.177)/32

t1 = 0.65071875

t2 = 1.5367

The ball will reach that height at 0.65 s and 1.53 s.

Answer:

the cheapest is 8.20/4 bars

Step-by-step explanation:

we have  to compare the price of one bar in  both situations

1 bar= 6.45/3 compare  with 1 bar=8.20/4

2.15 >2.05

the cheapest is 8.20/4 bars

Step-by-step explanation:

Total marbles = 25

Probability of white marble = 3/ 25 = 0.12

Answer:

100,000

Step-by-step explanation:

I don't think they're give you 70 or 100,000 kernels so either 120 or 200. But if I had to choose one, it'd be 120 kernels.

Answer:

5x (3-2x^2)

Step-by-step explanation:

so all you have to do is 15x-10x=5x right?, then all you have to do is 15/5=3. 10x/5x=2x. then subtract 1 from the exponents. then you get the answer. okay Im sure about the fist part and the divison but not the exponents, I did use a calculator to check it though.

The factorize equation is, [tex]\rm 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0[/tex].

The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

Given that,

Equation; [tex]\rm 15x - 10x^3[/tex]

We have to determine,

Factorize the equation and factor of the equation.

According to the question,

To factorize the equation and determine the factor of the equation following all the steps given below.

Equation; [tex]\rm 15x - 10x^3[/tex]

                   [tex]\rm = 15x - 10x^3 = 0 \\\\= 5x (3-2x^2) = 0[/tex]

                   [tex]\rm = 5x (3-2x^2) = 0\\\\ = 5x (\sqrt{3} - \sqrt{2x}) (\sqrt{3}+\sqrt{2x}) = 0[/tex]

                    [tex]\rm = 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0\\\\ The \ roots \ of \ the \ equation \ are;\\\\5x = 0, \ x = \dfrac{0}{5}, \ x =0\\\\\\[/tex]

                    [tex]\sqrt{3} - \sqrt{2x} = 0, \sqrt{2}x = \sqrt{3}, \ x = \dfrac{\sqrt{3} }{\sqrt{2} }\\\\ \sqrt{3} +\sqrt{2x} = 0, \sqrt{2}x = -\sqrt{3}, \ x =- \dfrac{\sqrt{3} }{\sqrt{2} }[/tex]

Hence, The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

For more details refer to the link given below.

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Answer:

The prime factorization of 450 = 2•3 2 •5 2 . The prime factors of 450 are 2, 3 and 5.

Step-by-step explanation:

Answer:

2 × 3² × 5²

Step-by-step explanation:

450 ÷ 2 = 225

225 ÷ 3 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

450 = 2×3×3×5×5

450 = 2 × 3² × 5²