Devaughn is 13 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?

Answers

Answer 1

Answer: 46 years old

Step-by-step explanation: If Devaughn is 13 years younger than Sydney,

we can represent Sydney's age as x and Devaughn's age as x - 13.

Since the sum of their ages is 79, we have x + x - 13 = 79.

This simplifies to 2x = 92.

Dividing both sides by 2, we have x = 46.

So sydney is 46 years old.


Related Questions

WILL GIVE BRAINLIST!!!!! Select the correct answer. Which graph represents this function? f (x) = 1/2x -5 A. B. C. D.

Answers

Answer:

B

Step-by-step explanation:

The y-int. is -5 like the equation and the slope is positive

can someone explain how to calculate a unit rate ​

Answers

Answer:

It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

Answers

Answer:

2

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

The slope of the line will be "[tex]-\frac{2}{3}[/tex]".

The given points are:

[tex](x_1, y_1) = (0, -2)[/tex]

[tex](x_2, y_2) = (3, -4)[/tex]

As we know,

→ The slope of the line:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

= [tex]\frac{-4-(-2)}{3-0}[/tex]

= [tex]\frac{-4+2}{3}[/tex]

= [tex]-\frac{2}{3}[/tex]

Learn more about slope of line here:

https://brainly.com/question/18891994

PLEASE HLEP WITH QUESTION ONE PLS
1. Given the diagram to the right and information below, determine
which lines, if any, are parallel. State the converse that justifies
your answer.
199
10
0
10
b
c
Glven
Parallel Lines
Converse
a. 213a 217
b. 24 a 29
c. m219+ m222 180°
d. 8210
e. 210

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

a .

Parallel lines → a & c

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b .

Parallel lines → d & e

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c .

I couldn't read it....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

d .

Parallel lines → ---

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

e .

Parallel lines → b & c

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f .

Parallel lines → a & c

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i need help ASAP ill mark u a brainiest i need an answer thats it

Answers

Answer:

I think it's 7.5 correct me if i'm wrong

Step-by-step explanation:

7.5 is half of 15

Use the midsegement theorem

Solve this equation: 12−3(3x−5)=12(2x+1)

Answers

Answer:

x = -3/11

Step-by-step explanation:

First, distribute the -3 and 12 within the parenthesis

12 - 9x + 15 = 24x + 12

Now, combine like terms

3 - 9x = 24x + 12

Subtract 24x from both sides of the equation

3 - 33x = 12

Subtract 3 from both sides of the equation

- 33x = 9

Divide both sides by -33

x = -9/33

-9/33 can be simplified to -3/11, so the answer is

x = -3/11

I Hope That This Helps! :)

Help me out please !!!

Answers

Answer:

rate of change = 1.75 over 1 or just 1.75

Step-by-step explanation:

this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.

Is this a Right Triangle 9 m, 15 m, 17 m
Yes or No?

Answers

Answer:

No it would not be because two sides added up would not equal the other side

Step-by-step explanation:

Answer:

No it is not.

Step-by-step explanation:

All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.

Squares of the two shorter sides:

[tex]9^{2}+15^{2}=306[/tex]

Square of the longer side:

[tex]17^{2}=289[/tex]

[tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.

I hope this helps :)

Can someone help me please?

Answers

Answer:

about 6000π

Step-by-step explanation:

Hope it helps :)
Here is the working

Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?

Answers

Answer:

$463.50

Step-by-step explanation:

3% of 450 is 13.50

450+13.50=463.50

hope this helps :3

if it did pls mark brainliest

463.5 idrk

but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5

I NEED HELL LIKE RIGHT NOW !!!

Which equation represents the graph?

Answers

Answer:

ummm im pretty sure its d

Step-by-step explanation:

Answer:

im pretty sure its last option y=2x

Step-by-step explanation:

on the graph it touches all even numbers

PLEASE HELP ME 16 POINTS PLEASE HELP

Answers

Answer:

Slope: Rise/run

= -2/4

= -1/2

Answer:

-1/2

Step-by-step explanation:

Like I said in your previous question!!

RISE/RUN.

Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!

I hope this helps!!

Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly? explain

A) 4
B) 10
C) 44
D) 90

Answers

Answer:

A. 4

Step-by-step explanation:

90% of 40 is = 36

40 - 36 = 4

Since he got 36 right out of 40, he got 4 wrong.

PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON

Answers

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

Help me now!!!!! This is due at 12

Answers

16

i know this because
2 x 9 = 18
4 x 9 = 36
and 14 x 9 = 126

so, the constant of this proportional ratio table is 9

144 divided by 9 is 16

Answer:

umm what grade are you in???

144/9= 16!!!!!

Step-by-step explanation:

anyways wont act exactly like you and the answer is 16

Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10

Answers

The equation of the line is Y =22x + 10

What is the length of segment MO?
PHOTO ABOVE


I need to pass!!!!!
Pls try!!!

Answers

Answer: 13

Step-by-step explanation: In the picture, you have angle H congruent to angle N, Side MN congruent to side GH, and angle G congruent to angle M. That means that these two triangles are congruent by ASA. Therefore by CPCTC, side GI is congruent to side MO, which means that MO is 13.

The answer to this is 13

Select all of the numbers that are greater than -5.

1.) 1.3
2.) -6
3.) -12
4.) -1
5.) -4

Answers

all the numbers greater than -5 are

1.) 1.3

4.) -1

5.) -4

Answer:

1.3,-1, and -4

solve.
1/x = 1/5x = x-1/5x

Answers

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

A cake recipe contains sugar and flour in the ratio 3 : 2.

How much of each ingredient is needed to make 600 gram of such a cake?

Answers

Answer:

360 g of sugar and 240 g of flour

Step-by-step explanation:

add the parts of the ratio, 3 + 2 = 5 parts

Divide the total by 5 to find the value of one part of the ratio.

600 g ÷ 5 = 120 g , thus

3 parts = 3 × 120 g = 360 g ← amount of sugar required

2 parts = 2 × 120 g = 240 g ← amount of flour required

Answer:

360 grams of sugar and 240 grams of flour

Step-by-step explanation:

First, find the sum of the parts of the ratio: 3 + 2 = 5

Divide the total amount (600) by the amount of parts:

600/5 = 120

Now multiply 120 by the amount of each part of the ratio:

210 * 3 = 360

360 * 2 = 240

360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.

Hope this helps :)

Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?

Answers

im pretty sure it’s 15.77 because if you divide $78.75 by 5 you get that.

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

Select all equations that can result from adding these two equations or subtracting one from the other.
x+y=12
3x-5y=4 PLZ
HELP QUICK I WILL GIVE BRAINLYIEST

Answers

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Step-by-step explanation:

hope this helps, sorry if late

Find the slope of the line.

Answers

Answer:

4

Step-by-step explanation:

What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27

Answers

Answer:

y = -18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = 5x - 3

3x - 2y = 27

Step 2: Rewrite systems

Define:                                        3x - 2y = 27Add 2y on both sides:               3x = 2y + 27Divide 3 on both sides:              x = 2/3y + 9

Step 3: Redefine

y = 5x - 3

x = 2/3y + 9

Step 4: Solve for y

Substitute in x:                              y = 5(2/3y + 9) - 3Distribute 5:                                  y = 10/3y + 45 - 3Combine like terms:                     y = 10/3y + 42Subtract 10/3y on both sides:      -7/3y = 42Divide -7/3 on both sides:            y = -18

Please help!

If we write [tex]\sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}[/tex] in the form [tex]\frac{a \sqrt{2} + b \sqrt{3}}{c}[/tex], such that [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are positive integers and [tex]c[/tex] is as small as possible, then what is [tex]a+b+c[/tex]?

Answers

Answer:

[tex]a+b+c=9+8+6=23[/tex]

Step-by-step explanation:

Let’s first simplify our expression. We have:

[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]

For the second term, multiply both the numerator and denominator by √2. This yields:

[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]

Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:

[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

Hence, our expression is now:

[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]

Let’s combine them. First, we will need common denominators.

Our denominators are 2 and 3. So, our common denominator will be its LCM.

The LCM of 2 and 3 is 6.

Hence, let’s make each term’s denominator 6.

For the first term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]

For the second term, we can multiply both layers by 3. Hence:

[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]

For the third term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]

And for the last term, we can multiply both layers by 2. Hence:

[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]

So, our expression is:

[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]

Add:

[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]

Combine like terms:

[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]

This cannot be simplified. So, c is as small as possible.

Hence: a=9, b=8, and c=6.

Therefore:

[tex]a+b+c=9+8+6=23[/tex]

State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Include a congruency statement for all congruent triangles.

Answers

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW  Given

Side FP ≅ Side CM     Given

Side YP ≅ Side MW    Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT   Given

Side SV ≅ Side SV  by reflexive property

Side VT ≅ Side VU   Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP  Given

Side MQ ≅ Side NP     Given

Side NQ ≅ Side NQ    by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL  Given

Side GJ ≅ Side HK     Given

∠JLG ≅ ∠HLK    vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW   Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ  by reflexive property

Side ZW ≅ Side ZY   Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

The congruence theorems that can be used for each of the given pair of triangles are;

1) SSS

2) SAS

3)SAS

4) SSS

5) SAS

6) SAS

1) From the image we see that;

FY ≅ CW  

FP ≅ CM  

YP ≅ MW

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.

2) From the image we see that;

∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;

∠CBD ≅ ∠BCA

Also, we see that;

EB ≅ EC

DB ≅ CA

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.

3) From the image, we see that;

∠SVU ≅ ∠SVT

Using reflexive property, the shared sides give;

SV ≅ SV  

VT ≅ VU

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.

4) From the image, we see that;

MN ≅ QP

MQ ≅ NP

Using reflexive property, the shared sides give;

NQ ≅ NQ

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.  

5) From the image, we see that;

GL ≅ HL

GJ ≅ HK  

∠JLG and ∠HLK are vertically opposite angles and as such;

∠JLG ≅ ∠HLK

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.

6) We observe from the given triangles that;

∠XZY ≅ ∠XZW (They are both right angles = 90°)

Using reflexive property, the shared side is congruent to itself and so;

XZ ≅ XZ  

Also;

ZW ≅ ZY

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔXYZ ≅ ΔXWZ  using Side-Angle-Side (SAS) congruency theorem.

Read more at; https://brainly.com/question/14399801

HELPPPP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

Find the length of the diagonal of a square with perimeter 56

Answers

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

Evaluate 2x

2 + y if the values of x = 3, and y = 10

Answers

Answer:

6,12

Step-by-step explanation:

i have no idea what to do

do u want me to evaluate 1 problem or 2

6,2
Do you want me to do 1 or 2 Answeres

The perimeter of a square with side length s

Answers

Answer:

4s

Step-by-step explanation:

The perimeter of a square is 4 times it's side length.

Formula for a perimeter of a square: [tex]4s[/tex]

s - side length

Hope this helps.

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