Devaughn's age is three times Sydney's age. The sum of their ages is 116. What is Sydney's age?

Answers

Answer 1

Hello,

I hope you and your family are doing well!

Let's call Sydney's age x and Devaughn's age y. We know that y = 3x and x + y = 116.

Substituting the first equation into the second equation gives:

3x + x = 116

4x = 116

x = 29

So Sydney's age is 29.

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Happy Holidays!


Related Questions

CAN ANYONE HELP ME ASAP PLZ!? I WILL MARK BRAINLIEST!
-
What is the length of a leg of a 45-45-90 triangle if the hypotenuse is 13 square roots of 2?

Answers

Answer: is 13

Step-by-step explanation: no explanation

Which ordered pair is in the solution set of 3x − 2y ≥ -1?​​​
F.(-2, -2.5)
G.(-1, 1)
H.(2, 4)
J.(1, 2.5)

Answers

Answer:

G

Step-by-step explanation:

Therefore, the option \(G(-1,1)\) is correct.

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given inequality equation

\(3x- 2y \geq -1\)

When the points \((-1,1)\) so it would be

\(3(-1)-2(1)\geq -1\\\\-3-2\geq -1\\\\-5\geq -1\)

Hence, the option \(G(-1,1)\) is correct.

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Ms. Rashida is selling the school bag below at a 20% discount. What is the selling price of the bag? the bag price is 115

Answers

Answer:

tgdfhfghhfrhdtjshdhhdgjggdf

Step-by-step explanation:

Answer:

The selling price is $92

Step-by-step explanation:

First you find out how much 20% is out of 115 an that is $23. Then you do 115-23 and that gives you the answer of $92.

Can you please help me out with this I’m stuck

Can you please help me out with this Im stuck

Answers

Given

Find

the value of x

Explanation

given m is parallel to n.

so, these are corresponding angles.

hence

\(\begin{gathered} 4x-23=2x+17 \\ 2x=17+23 \\ 2x=40 \\ x=20 \end{gathered}\)

so, x = 20

Final Answer

The value of x is 20

Can you please help me out with this Im stuck

n is an integer and -1<n < 5
Write down all the possible values of n.​

Answers

Answer:

0,1,2,3,4

Step-by-step explanation:

Person above me got it correct I’m pretty sure

let C be the curve y=5sqrtx for 1.1

let C be the curve y=5sqrtx for 1.1

Answers

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Which type of wave does the illustration depict?

Answers

Where is the picture?

Rewrite 4(30+5) using the Distributive Property of Multiplication over Addition.

Answers

the answer is going to be 120+5

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Warm-Up
Jug
Use the diagram below to answer the questions.
Intro
K
P
M
Which are shown on the diagram? Check all that apply.
O
OKM
Ojk
OPK
OLJK
COM
Dong

Warm-UpJugUse the diagram below to answer the questions.IntroKPMWhich are shown on the diagram? Check

Answers

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Warm-UpJugUse the diagram below to answer the questions.IntroKPMWhich are shown on the diagram? Check

Timmy bought a skateboard and two helmets for a total of
d dollars. If each helmet cost h dollars, the cost of the
skateboard could be represented by.....



Answers

d-2h=cost of skateboard

PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=

Answers

(g•f)(x) = (4x - 4) • (5x)
= 20x^2 - 16

(g - f)(x) = (4x - 4) - (5x)
= (-1x) - 4
= -x -4

(g + f)(2) = (4(2) - 4) + (5(2))
= 4 + 10
= 14

I NEED HELP 30 POINT!!

I NEED HELP 30 POINT!!

Answers

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Name 1 thing you do regularly that involves math.

Answers

Answer:

Cooking., You either end up with great food because you measured the and use the right amount of ingredients or food that isn't the best because you used too little or too much ingredients.

Bonus) For Time Management, it involves math by scheduling activities and other things such things in life at certain times and some things should be met within certain time limits and such.

Answer: Hi!

Shopping! When you're shopping in a store, you have to calculate and estimate the prices of food and items in your head, (or on paper), so you know the total amount of money you are going to use. Many times the amount of money for an item is a fraction, too!

Hope this helps!

Newton's Law of Gravitation states that two bodies with masses m1 and m2 attract each other with a force F, where r is the distance between the bodies and G is the gravitational constant. F = G(m_1m_2)/r^2 Use Newton's Law of Gravitation to compute the work W required to propel a 1100 kg satellite out of the earth's gravitational field. You may assume that the earth's mass is 5.98✕1024 kg and is concentrated at its center. Take the radius of the earth to be 6.37✕106 m and G = 6.67✕10-11 Nm2/kg2. (Round your answer to three significant digits.)

Answers

The two bodies are being drawn together by a force of 10812 N, according to Newton's Law of Gravitation.

Every particle in the universe is drawn to every other particle with a force that is directly proportional to the product of their masses and inversely proportional to their separation from one another, according to Newton's Law of Universal Gravitation.

Symbolically, Newton came to the following conclusion on the strength of the gravitational force:

F = G(m₁ × m₂) / r²

F is the gravitational force between two bodies, m1 and m2 are the bodies' masses, r is the distance between their centres, and G is the gravitational constant of the universe.

According to the query,

satellite's mass is m1 = 1100 kg.

mass of earth = 5.98 ×10²⁴ kg

Radius of the earth = 6.37 × 10⁶ m

G = 6.67 × 10⁻¹¹ Nm² / kg²

Force = G(m₁ × m₂) / r²

Substituting the values,

F = 6.67 × 10⁻¹¹( 1100 × 5.98 ×10²⁴)  /( 6.37 × 10⁶)²

=> F = 6.67 × 1100 × 5.98 × 10¹³ / 40.58 × 10¹²

=> F = 43,875.26 × 10 / 40.58

=> F = 10812 N

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Find the value of (-8, -4, -1) (1, 7, -3) (8, 9, 9)

Find the value of (-8, -4, -1) (1, 7, -3) (8, 9, 9)

Answers

Answer:

It's ' C '

- 541

Find the Value of Y.

Find the Value of Y.

Answers

The value of y in the triangle is 2√10 units.

How to find the side of similar triangle?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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Which of the following shows the simplified form of sin x/1+cos x
O sin x- tan x
O sin x-cot x
O csc x-cot x
01

Answers

Answer:

csc x - cot x

Step-by-step explanation:

(sinx)/(1+cos x)

Multiplying the numerator and denominator by (1-cos x),

((sinx)(1-cos x))/(1-cos² x)

((sinx)(1-cosx))(sin²x)

(1-cosx)/(sinx)

cscx - cot x

A company’s equipment manager buys $7,000 worth of equipment. This equipment depreciates 19% each year. The manager can replace the equipment after its value falls below $500. After how many years can the manager first replace the equipment?

Answers

Answer:

13 (c)

Step-by-step explanation:

Graph the equation 7000(1-0.19)^x and then the inequality y<500, the point of intersection should be 12.524, so the answer will be rounded up to 13 i think

Answer:

13

Step-by-step explanation:

how do u solve this its pre-algebra 4x – 5y = 20

Answers

Answer:

x = 5 + 5y/4

Step-by-step explanation:

I think its like this: 4x - 5y = 20

Add 5y to both sides: 4x = 20 + 5y

Divide both sides by 4: x = 20/4 + 5y/4

Simplify: x = 5 + 5y/4

I'm pretty sure it is like this

Hope this helps!

In Maria's galden, the ratio of peppers to tomatoes is 5 to 7. If there are 91
tomatoes, how many peppers are in the garden?
Your answer

Answers

Answer:

65 peppers

Step-by-step explanation:

Create the porportion 91/7 = x/5 When you solve for x you get 65.Hope this helps!

Answer:

ther will be 65 peppers

Step-by-step explanation:

What is the absolute value of -8.35

Answers

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Anyone who answers correctly gets brainlist!

Anyone who answers correctly gets brainlist!

Answers

Answer:

A

Step-by-step explanation:

A is the procedure

Write 18 hundreds 11 tens in standard form.

Answers

The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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The school cafeteria is thinking of introducing a vegetarian pizza to the menu. Which
sampling technique would you recommend to determine which of three possible
toppings should be used? Explain your recommendation. [C -2]
4.

Answers

I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.

What is simple random sampling suitable?

It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.

By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.

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The length of a rectangular field is represented by the expression 14x-3x^2+2y . The width of the field is represented by the expression 5x-7x^2+7y . How much greater is the length of the field than the width?

Answers

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Fill in the blank using the scaling factor that makes the number sentence true. 5.3 × > 5.3 0.886 or 1.00 or 1.003

Answers

The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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What equals 10³ I need to know

Answers

Answer:

1,000

Step-by-step explanation:

10 x 10 x 10 = 1,000

1000

Step-by-step explanation:

10³

=10×10×10

1000

Evaluate the determinant for the following matrix

Evaluate the determinant for the following matrix

Answers

Determinant formula ad -bc
(-5 * 4 ) - (1 * 1)
-20 - 1
-21

letter a

Step by step Explanation

-5×4-1×1

-20-1

-21

hope this help you!

Find the surface area of this composite solid.

Find the surface area of this composite solid.

Answers

Answer:

C. 120 m²

Step-by-step explanation:

The surface area is equal to the area of 4 rectangles + area of 4 triangles + area of base.

Area of 4 rectangles:

4(5 × 4)

4(20) = 80

Area of 4 triangles:

4(3 × 4 × 1/2)

4(6) = 24

Area of base:

4² = 16

Add the areas.

16 + 24 + 80

= 120

The surface area of the composite solid is 120 m².

The surface area of this composite solid would be, 136 m². Hence, option D is true.

Used the formula for the surface area of the cuboid and the surface area of the 4 triangles,

The surface area of the cuboid = 2 (LW + LH + HW)

And, The surface area of the 4 triangles = 4 (1/2 × Base × Height)

Given that,

In a triangle,

Base = 4 m

Height = 3 m

And, In a Cuboid,

Length = 4 m

Width = 4 m

Height = 5 m

Hence, we get;

The surface area of the 4 triangles = 4 (1/2 × Base × Height)

= 4 (1/2 × 4 × 3)

= 4 × 6

= 24 m²

The surface area of the cuboid = 2 (LW + LH + HW)

= 2 (4 × 4 + 4 × 5 + 5 × 4)

= 2 (16 + 20 + 20)

= 112 m²

Therefore, The surface area of this composite solid would be,

24 m² + 112 m² = 136 m²

So, Option D is true.

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1+1223x8+9+6+3+126+3+78+9+66

Answers

Answer:

10 085

Step-by-step explanation:

the answer is 10 085

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