Diego then says, “If we take half of the first number and double the second, the sum is 14.” Write an equation that represents this clue. What are Diego’s two numbers? I have the first part which is the equation, but i can’t figure out what his two numbers are. Please help! Thank you!

Answers

Answer 1
so the equation is
X/2 + 2Y = 14
if we isolate X the equation becomes
X= 4Y - 28
we put the value of X inside of the first equation and it becomes
(4Y - 28)/2 = 14 - 2Y
the result of this equation is
Y = 7
we then put the value of Y inside of the first equation and X=0
so the numbers are 0 and 7
which is true because if you halve 0 and double 7 their sum is 14

Related Questions

Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?

Answers

Answer:

6:45

Step-by-step explanation: add 45 min to 6:00 and you have your answer

Answer:6:45

Step-by-step explanation: 6:00 + 45minutes would be 6:45

Trigonometry, how would I find the area of this triangle?

Answers

Answer:

Step-by-step explanation:

Area of triangle = 1/2 * base * height

Use the side of length 5.6cm as base, the height will be a perpendicular line from the base to the tip of the triangle.

From the right-angle triangle formed by the height and the side of length 3.9cm,

sin(56°45') = height / 3.9

height = 3.9*sin(56°45')

Substituting back into the area equation:

Area = 1/2*5.6*3.9*sin(56°45')

= 9.0cm^2

= 9cm^2

Use sine rule for Area

[tex]\\ \rm\rightarrowtail Area=\dfrac{1}{2}absinC[/tex]

[tex]\\ \rm\rightarrowtail Area=\dfrac{1}{2}(3.9)(5.6)sin56°45'[/tex]

[tex]\\ \rm\rightarrowtail Area=10.92(0.836)[/tex]

[tex]\\ \rm\rightarrowtail Area=10.22cm^2[/tex]

Which one doesn’t belong? A B C D

Answers

Answer:

A

Step-by-step explanation:

because its not an angle

Answer:

i would say a

Step-by-step explanation:

because b c and d sort of have an angle to them but a is straight

What is the diameter of a hemisphere with the volume of 74466

Answers

[tex]\textit{volume of a hemisphere}\\\\ V=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=74466 \end{cases}\implies 74466=\cfrac{1}{2}\cdot \cfrac{4\pi r^3}{3} \\\\\\ 74466=\cfrac{2\pi r^3}{3}\implies 223398=2\pi r^3\implies \cfrac{22398}{2\pi }=r^3\implies \cfrac{111699}{\pi }=r^3 \\\\\\ \sqrt[3]{\cfrac{111699}{\pi }}=r~\hfill \stackrel{\textit{diameter = 2r}}{2\sqrt[3]{\cfrac{111699}{\pi }}\implies \sqrt[3]{\cfrac{893592}{\pi }}}~~ \boxed{\approx~~65.77}[/tex]

Given g(x)=5x-3g(x)=5x−3, find g(-4)g(−4).
g(x)=5x-3
g(x)=5x−3
g(\color{green}{-4})=5(\color{green}{-4})-3
g(−4)=5(−4)−3
Plug input into x
-20-3
−20−3
Multiply
-23
−23

Answers

Answer:

the answer is 529

Step-by-step explanation:

see the explanation photo

The price of a car has been reduced from $14,500 to $10,730. What is the percentage decrease of the price of the car?

Answers

I will clarify you,
Given:-
Soln:-
Cost price of car(cp)=$14,500$
Selling price of car(sp)=$10,730
Loss amount(L) =?
Now,
we know that,
Loss amount(L)= $14500-$10730
= $3770
Also,
Loss percentage(L%)= loss*100/cp
=3770*100/14500
=26%
.•. The decrease percentage of the price of the car is 26%



Hope it helped you….

solve for x and please roundddd

Answers

Should be 37 degrees

We know the lengths of the adjacent and opposite sides when looking at the angle x, so we use those two sides to find the trig ratio.

So we use Opposite/adjacent (Tangent) Which is 54/72=0.75

Now we get out the trig ratio table. Because we used the tangent ratio (O/A) , we use that column to look for the closest number to 0.75.
The closest is 0.754, and the degree for it is 37 degrees

Rlly hope this helps :)))

Select all that apply.

Green pencils are priced at $1.28 for 4. Blue pencils are priced at $5.52 for 24. Which of the following statements are true?

The unit rate for blue pencils is $0.28
The unit rate for green pencils is $0.32
The green pencils are priced less per pencil
The blue pencils are priced less per pencil.

Answers

Correct Statements:

1) The unit rate for green pencils is $0.32

2) The blue pencils are priced less per pencil.

Step-by-step explanation:

UNIT RATE:

Green pencils:

Given that,

4 green pencils = $1.28

Divide 4 to both sides

1 green pencil = $1.28 / 4

1 green pencil = $0.32

Blue pencils:

Given that,

24 blue pencils = $5.52

Divide 24 to both sides

1 blue pencil = $5.52 / 24

1 blue pencil = $0.23

Blue pencil is priced less per pencil when compared to green pencil.

[tex]\rule[225]{225}{2}[/tex]

please help.......................

Answers

Answer:

what are the options? the answer I got was a fraction 19/4

Expand the following expressions by multiplying out the brackets
-4(4f+3)

Answers

Answer:

- 16f - 12

Step-by-step explanation:

- 4(4f + 3) ← multiply each term in the parenthesis by - 4

= - 16f - 12

Hello!

In order to simplify this expression, we should use the Distributive Property and distribute -4:

-4(4f+3)

-16f-12

Note:

[tex]\square[/tex] A negative times a negative is a positive.

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

Eva is solving the equation 4(x+32)=8
She says, “I can subtract 32 from each side to get 4x=132 and then divide by 4 to get x=138."

Dakota says, “I think you made a mistake.”

Determine the correct value for x.

x=

Answers

Answer:

The correct answer is -30

Step-by-step explanation:

4(x+32)=8 basically you multiply 4 times the numbers that are in the parentesis which that will equals to 4x+128 because 4x1= 4x and 4x32 = 128. then you subtract 128 from 8 which equals to -120. you divide -120 by 4 which equals to -30.

Which agency is responsible for promoting the welfare and opportunities of wage earners? a. fda b. hud c. dol d. cpsc

Answers

Answer:

DOL, also known as the Department of Labor, is the agency responsible for promoting the welfare and opportunities of wage earners.

Their main goal is to fight for equal rights among workers and to make their wishes and needs at the workplace come true.

Answer:

c

Step-by-step explanation:

Suppose that John wants to calculate a 96% confidence interval for a population mean from a sample of
size n = 15. What is the appropriate critical value t*?
a. 2.145
c. 2.264
b. 2.249
d. 2.054

Answers

Answer:

A I believe try A that should be it

so it's got like money before and after and it has indepent and dependent variable ​

Answers

Answer:

The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.

Solve 34x−5<8. Round your answer to the nearest thousandth

Answers

Answer:

x < 0.382

Step-by-step explanation:

because we know that 34x is smaller than 13. therefore after division we can find out that x must be smaller than 0.382

express 59/2^4×5^4 in decimal form.
answer asap. Ill mark brainliest​

Answers

Answer:

~Male Y/n here~ I think this would be your question in decimal form,

2304.6875

(Hope this helps!)

32. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for the balance of the account, then determine the amount of money in the account in 15 years. Answer: Equation:​

Answers

Answer:

$25,626.53

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 8.5% into a decimal:

8.5% ->  -> 0.085

Now lets plug in the values into the equation

Lastly, subtract the total from the initial balance:

Michelle earned $25,626.53 in interest.

The radius of a circle is 15 m. Find its circumference in terms of π

Answers

C = 2 x pi x r

C = 2 x pi x 15 = 30 π

A survey of 600 people was conducted to find thier favorite book genre. The survey results are shown in the table o the right. Adventure:102, Comedy: 114, Mystery:84, Romance:132
Part A: How many people responed with a genre other than one of the genres listed?
Part B: Develop a complete probabiliy model to describe all possible reasons, including 'other' as one response.
PLEASE HELP ASAP​

Answers

The probability shows that the number of people who responed with a genre other than one of the genres listed is 168.

How to calculate the probability?

The number of people who responded with a genre other than one of the genres listed will be:

= 600 - (102 + 114 + 84 + 132)

= 600 - 332

= 168

The probability for adventure = 102/600 = 0.17

The probability for comedy = 114/600 = 0.19.

The probability for mystery = 84/600 = 014

The probability for romance = 132/600 = 0.22

The probability for others = 168/600 = 0.28

Learn more about probability on:

https://brainly.com/question/24756209

The quotient of forty-three and a number m

Answers

Answer:

43/m

Step-by-step explanation:

Quotient refers to the resulting answer when a number is divided by a   divisorIn this case, our number is 43 and divisor is mTherefore, the quotient is :43/m

Answer:

43/m

Step-by-step explanation:

We can consider the word phrase 'the quotient of' to be a division property.

We can also contemplate that the phrase 'a number m' represents a variable, m, of an unknown value.

Together, we link these two to create the expression;

43 ÷ m which can also be known as 43/m.

What is the surface area of this right triangular prism? enter your answer in the box.

Answers

what are the measurements of the triangular prism??

Answer:

Step-by-step explanation:

where is the prism???

   i can't answer without seeing the question

What is the value of the expression below?

4. 8 x 108

-x (2. 2 x 10-6)

1. 2 x 104

Answers

Answer:

I'm not sure I understand the formatting.  I don't know what the x is supposed to be for the middle term (-x(2.2x10^6)), so I dropped the x for the calculation.  I also assumed all terms are to be added.  If these assumptioons are correct, the answer is:

4.58012 x 10^8 or 4.6x10^8  (see below)

Step-by-step explanation:

(4.8x10^8) - (2.2x10^6) + 1.2x10^4

(4.8x10^8) - (0.022x10^8) + (0.00012x10^8)

 4.8

-0.22

+0.00012

4.58012

4.58012 x 10^8

There are only 2 significant digits (2.8x10^8) so if this is an answer relating to a scientific measurement, it would need to rounded to simply 4.6x10^8.

What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units

Answers

The area of the considered triangle RST is given by: Option A: 9 sq. units.

How to find the area of a triangle?

If we have:

Length of its base = b unitsIts height = h units long,

Then we get:

Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

Learn more about area of a triangle here:

https://brainly.com/question/14503701

) Andy is walking her dog Sherman on a local trail and Sherman falls 100 feet down a ravine. Andy is overcome with emotion and needs your help to save her dog. (Don’t mess this up!) You can repel down and successfully rescue Sherman, but you must first calculate how much rope is needed.

(a) Fill in your height here rounded to the nearest foot: ___________________
(b) Choose a measure for angle A between 31° and 51° (whole numbers only): ____________

Answers

Based on the calculations, the height of this ravine is equal to 143.95 feet.

Given the following data:

Height of ravine = 100 feet.

How to calculate the length of rope.

First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.

Let the height of ravine be h.

Note: We would choose 46° as a measure for angle A.

From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:

[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]

h = 143.95 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552

What is 1 3/8 written as a decimal

Answers

Answer:

1.625

Step-by-step explanation:

A circular pizza that is 17 inches in diameter is cut into 6 equal slices. What is the area of one of the slices?
The area of one slice is in?

Answers

Answer:

51

Step-by-step explanation:

17x6=51

Find the volume of the prism.

Answers

Answer:

the volume is 210

Step-by-step explanation:

length x width x height

length=6

width=5

height=7

6 x 5 = 30

30 x 7 = 210

please help me with this math! thank you!

Answers

Answer:

Heads or Tails

Step-by-step explanation:

its right there super simple.

What is the solution to this system of equations?
4x+y=6
x-2y=6
A (-2)
B (1,2)
C (1/2, 4)
D (-2,2)

Answers

The answer to this is D
You Answer is letter D =(2,-2)


The point (-1, 3) is the turning point of the graph with equation y = x2 + ax + b,
where a and b are integers.
Find the values of a and b.

Answers

Answer:

a = 2

b = 4

Step-by-step explanation:

Δy   = 2x + a.................for turning point, Δy/Δx = 0.

Δx

0 = 2x + a

x = -a/2.........from ( -1, 3), x = -1...............so,

-1 = -a/2.................a = 2.

y = x^2 + ax + b.

y = 3  ,    a = 2.................substitute.

3 = (-1)^2 + 2(-1) + b

3 = 1 -2 + b

b = 4

Answer:

The turning point of a parabola is the vertex

Vertex form of a quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

[tex]\sf y=x^2+ax+b[/tex]vertex = (-1, 3)

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

[tex]\sf \implies y=1(x-(-1))^2+3[/tex]

[tex]\sf \implies y=(x+1)^2+3[/tex]

[tex]\sf \implies y=x^2+2x+1+3[/tex]

[tex]\sf \implies y=x^2+2x+4[/tex]

Therefore, a = 2 and b = 4

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