The sum of two numbers is 50 and twice the sum of money the number is 100.Make a pair of equations and solve them to find the numbers.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Let us represent

First number = x

Second number = y

The sum of two numbers is 50

Hence:

x × y = 50

xy = 50..... Equation 1

x = 50/y

Twice the sum of money the number is 100.

2(x + y) = 100

2x + 2y = 100...... Equation 2

We substitute 50/y for x in Equation 2

2(50/y) + 2y = 100

100/y + 2y = 100

Multiply through by y

100/y × y + 2y × y = 100 × y

100 + 2y² = 100y

Hence:

2y² - 100y + 100


Related Questions

Show work if you can!

Answers

Answer:

9 inches

Step-by-step explanation:

(x + 2)² = 121

√(x + 2)² = √121

x + 2 = 11

x + 2 - 2 = 11 - 2

x = 9

4+4x+x^2 = y Given x = 2

Answers

Answer:

16

Step-by-step explanation:

4 + (4 * 2) + [tex]2^{2}[/tex] = y

16 = y

Answer:

x=2,y=16

Step-by-step explanation:

4+4(2)+2^2=y      Put the x value where it belongs

4+8+2^2=y             Now do 2*2 (two to the power of two)

4+8+4=16

16=16

The low temperatures in a town for eight consecutive days, in degrees Fahrenheit, are
-2, -5, 10, 6, -3, 5, 3, -2. Find the median.

Answers

Answer:

The Median is 0.5

Step-by-step explanation:

77
If the measure of angle is 8 is 4 , which statements are true?
A-cos(8) = -1
B-The measure of the reference angle is 60°.
C-The measure of the reference angle is 30°.
D-The measure of the reference angle is 45°.
E-sin() - 2
F-tan(O) = -1

Answers

Answer:

fifth option is the correct ans

sin(thita) = -sqare root 2 / 2

The statements which are true are,

The measure of reference angle is 45° and tan (θ) = -1.

What is Reference Number?

Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.

Reference angle is shortest angle measure from the X axis to the terminal side of the angle.

Reference angle = 2π - 7π/4 = π/4 = 45°

We have,

7π/4 = 2π - π/4

We also know that,

cos(2π - x) = cos x,

sin (2π - x) = -sin x

tan (2π - x) = -tan x

So, using theses identities,

cos (7π/4) = cos (2π - π/4) = cos(π/4) = 1/√2

sin (7π/4) = sin (2π - π/4) = -sin (π/4) = -1/√2

tan (7π/4) = tan (2π - π/4) = -tan (π/4) = -1

Hence the true statements are The measure of reference angle is 45° and tan (θ) = -1.

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how to determent an angle on a triangle

Answers

Answer:

Subtract 2 angles from 180

Step-by-step explanation:

then use the 2 angles and add your answer so it matched this formula: a + b = 3

Hello I really need some help I will give you BRAINLEST!!!!

Answers

Answer:  Choice B

Step-by-step explanation:

V = 4 pi * r^3 / 3

V = 4 (3.14) * 8^3 / 3

V = 12.56 * 512 / 3

V = 12.56 * 170.66

V = 2,143.57 cm^3

Hope this helped!  Please give brainliest.

BRO PLS HELP MEEEE I WANNA GET STRAIGHT A’s

Answers

1. 12
2. 1
3. 18
4. 9
5. 2
6. 20
7. 1
8. 6

^^ I am so sorry if any are wrong, I tried as best as I could

A bag contains five red marbles and three green marbles. What is the probability of selecting one green marble from the bag?

(Hint: the answer is a fraction...)

Answers

Answer:

[tex]\boxed {\boxed {\sf P(green )=\frac{3 }{8}}}[/tex]

Step-by-step explanation:

Probability tells us how likely something is to happen. It's found by dividing the number of favorable outcomes by the total outcomes.

[tex]P=\frac{number \ of \ favorable \ outcomes}{total \ outcomes}[/tex]

Since we are trying to find the probability of selecting a green marble, that is the favorable outcome. There are 3 green marbles, so there are 3 favorable outcomes.

There are 5 red marbles in addition to the 3 green marbles. This means there are 8 total outcomes (5+3=8).

favorable outcomes = 3total outcomes =8

[tex]P(green )=\frac{3 }{8}[/tex]

This fraction cannot be simplified further, so it is the answer.

The probability of selecting a green marble is 3/8

kyle's can drive about 360 miles on 11.9 gallons of as which would cost about $​

Answers

You need to have the rate of how much it costs for one gallon.

heyy! i’ll give brainliest please help

Answers

persia is the answer

please whats the answer to this question

Answers

I believe it’s 800 cm^3

Answer:

[tex]800~cm^3[/tex]

Step-by-step explanation:

[tex]Volume ~of A=(10*(12-5)*5=[/tex]

[tex]10*7*8=[/tex][tex]560 ~cm^3[/tex]

[tex]Volume~ of ~B= 5*8(10-4)=[/tex]

[tex]5*8*6=[/tex][tex]40*6=[/tex][tex]240~cm^3[/tex]

[tex]Total ~volume= A+B[/tex]

[tex]560+240=[/tex]

[tex]800~cm^3[/tex]

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

hope it helps...

have a great day!!

What is the shortest path that will visit point A, B, C, and D?

https://dw6y82u65ww8h.cloudfront.net/organisations/328/94ce962c-bb45-4cbb-8c4a-2b1e1ed75681/img_quad_vertexedge_d.gif

link to graph

A to D to C to B
C to B to D to A
B to A to D to C
A to B to C to D

Answers

Answer:

A to D to C to B

Step-by-step explanation:

A to D to C to B only takes 10.5. Everything else takes a longer distance.

A wedge of cheese in the shape of a triangular prism is shown below.Find the surface area of the cheese.

Answers

Answer:

maybe 28 square feet

Step-by-step explanation:

maybe 28 square feet

Condense the following logarithm: 5log_4(a) - 6log_4(b)​

Answers

Hi there! We are given the expression:

[tex] \large \boxed{5 log_{4}(a) - 6 log_{4}(b) }[/tex]

To condense or simplify the following logarithm. You have to remember these properties:

Properties - Logarithm

[tex] \large{ log_{b}(a)^{n} = n log_{b}(a) } \\ \large{ log_{b}(a) - log_{b}(c) = log_{b}( \frac{a}{c} ) }[/tex]

These two properties are what we need for our problem. Therefore,

[tex] \large{ log_{4}(a)^{5} - log_{4}(b)^{6} }[/tex]

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

[tex] \large{ log_{4}( \frac{ {a}^{5} }{ {b}^{6} } ) }[/tex]

Answer

log base 4 of (a^5/b^6) is our simplifed form.

Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)

Marking brainliest

Can someone tell me why animal testing is bad?

Answers

Answer:

because they inject it into the animals eye's

They inject substances into the animals and causes them much distress, physically and psychologically

Find the tangents of angles A and B please

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Recall that [tex]tan\theta=\frac{opposite}{adjacent}[/tex]

Therefore, [tex]tanA=\frac{opposite}{adjacent}=\frac{7}{24}[/tex] and [tex]tanB=\frac{opposite}{adjacent}=\frac{24}{25}[/tex]

You want to spin blue. Does it matter which spinner you spin? Explain

Answers

Answer:

No, they both have a 2/6 (1/3) chance of spinning blue.

type The missing number that makes these fractions equal: 4/?=2/8

Answers

Answer:

16

Step-by-step explanation:

2/8 is = to 1/4

4/16 is = to 1/4

GIVE ME BRAINLIESTTTTT

Kayla works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on top of her base salary equal to 5% of her total sales for the week. How much would Kayla make in a week in which she made $1075 in sales? How much would Kayla make in a week if she made xx dollars in sales?

Answers

Answer:

$353.75

0.05x + 300

Step-by-step explanation:

1075 x 0.05 = 53.75 + 300 = 353.75

0.05x + 300

if (2x^3 + ax^2+bx-2) when divided by (2x-3) and (x+3) leaves remainder 7 and -20 respectively, find the values of a and b

Answers

that's all

your answer

thank you

9514 1404 393

Answer:

a = 3b = -3

Step-by-step explanation:

The remainder from division by (2x-3) is the same as the value of the function when that divisor is zero—at x = 3/2.

  ((2(3/2) +a)(3/2) +b)(3/2) -2 = 7

  ((3 +a)(3/2) +b)(3/2) = 9 . . . . add 2

  9/2 +3/2a + b = 6 . . . . . . . . multiply by 2/3

  3/2a +b = 3/2 . . . . . . . . . . . subtract 9/2

  3a +2b = 3 . . . . . . . . . . . . . multiply by 2   [eq1]

The remainder from division by (x+3) is the same as the value of the function for x = -3.

 ((2(-3) +a)(-3) +b)(-3) -2 = -20

  (-6 +a)(-3) +b = 6 . . . . . . add 2 and divide by -3

  18 -3a +b = 6 . . . . . . . . . eliminate parentheses

  3a -b = 12 . . . . . . . . . . . subtract 18, multiply by -1   [eq2]

Subtracting the [eq2] from [eq1], we have ...

  (3a +2b) -(3a -b) = (3) - (12)

  3b = -9 . . . . . simplify

  b = -3 . . . . . . divide by 3

From [eq2], ...

  3a -(-3) = 12 . . . . substitute for b

  3a = 9 . . . . . . . . subtract 3

  a = 3 . . . . . . . . . divide by 3

The values of 'a' and 'b' are 3 and -3, respectively.

Michale got these scores the last time he played golf according to the data shown what is the mode of his scores

Answers

Answer:

[tex]Mode = 74[/tex]

Step-by-step explanation:

Given

See attachment for dataset

Required

The mode

To do this, we simply select the score that has the highest frequency (i.e. the score that appear most)

So, we have:

[tex]Mode = 74[/tex]

Because 74 appears 3 times, while others appear less

Answer:

Its d

Step-by-step explanation:

Its the most commom element in the set

PLZ HELP! I will give brainliest! A theater can hold 160 giants or 240 elves. If 100 giants are inside, how many elves can also go into the theater?

Answers

Answer:

150

Step-by-step explanation:

100 : 160 :: e : 240     proportion

160e = (100)(240)

160e = 24000

elves = 150

Answer:

150

Step-by-step explanation:

100 : 160 :: e : 240  

160e = (100)(240)

160e = 24000

elves = 150

I need help with number 2 please

Answers


The answer is 2k x 1

Answer:

(z - 4) (x - 9)

− 4 x  +  z  − 9

(k + 6) (k - 7)

k^2 - k - 42

(y - 5) (y + 5)

y^2 - 25

What is the meaning of the word “remnants” as it is used in the sentence? May someone explain why your answer is correct.

Answers

Answer:

D: pieces

Step-by-step explanation:

The sentence tells us that remnants of metal and glass making have also been found. This means that there are some left over pieces of the metals and glass materials that were used that were found.

Thus, option D is the correct answer.

PLEASE HELP! I need the answer urgently!!

Answers

Answer:

Correct Answer is E

Step-by-step explanation:

If B rate and C rate should subtract each other which rules out answers A and B

hence making the total trip would be ~3 hours so answer E adding the rates would be the correct Answer.

Ayudenme yo no hablo ingles por favor alguien habla español????╥﹏╥​

Answers

Answer:

yo te AYUDO

Step-by-step explanation:

;)

Answer:

hola yo hablo español :D

Step-by-step explanation:

Caros makes wooden boxes without tops to use as flower planters. Each wooden box has a width of 14 inches and a height of 24 inches. The length of the box (x) varies depending on the type of flowers Carlos will plant. Which equation can be used to find the surface area (y ), in square inches, of a wooden box that has a length of x inches? Use the distributive property to help you solve.

Answers

Answer:

y = 2(31x + 336)

Step-by-step explanation:

The surface area of an open rectangular box of sides, l, w and h is

A = 2lh + 2wh + lw where l = length = x, w = width = 14 in and h = height = 24 in.

Since A = y, we have

y = 2lh + 2wh + lw

y = 2x(24) + 2(24)(14) + x(14)

y = 48x + 672 + 14x

y = 62x + 672

y = 2(31x + 336)

HOW TO DO THIS QUESTION PLEASE ​

Answers

Answer:

Try 5 first. If that is marked wrong, try 5.07

Step-by-step explanation:

Estimate means put your calculator on the other side of the room. You are to do this in your head.

78 is nearly 80

69 is nearly 70

29 is nearly 30

So now do the question

80 + 70 = 150       because 8 and 7 = 15.

150 / 30 = 50 because 15/3 = 5

So the answer that should be right for this question should be 5

Let's see how close that is.

78 + 69 = 147

147 / 29 = 5.07

9514 1404 393

Answer:

  5

Step-by-step explanation:

To estimate the quotient, round the numerator and denominator, then find the quotient of the rounded numbers.

  (78 +69)/29 ≈ (80 +70)/30 = 150/30 = 5

A good estimate of the quotient is 5.

_____

Additional comment

IMO, an estimate should also be accompanied by an estimate of the error. Here, the numerator is increased by 3 units to get 150, so is about 3/147 ≈ 2% high. The denominator is increased by 1 unit to get 30, so causing the estimate to be approximately 1/29 ≈ 3.3% low. Overall, this means the estimate is on the order of 2% -3.3% = -1.3% from the actual value. That is, it is on the order of 1.3% low. (It is actually about 1.361% low.)

What is the value of B for the following triangular prism?

A) 48 ft 2
B) 24 ft 2
C) 40 ft 2
D) 60 ft 2

Answers

Answer:

24 ft 2

Step-by-step explanation:

Because 1/2 x 6 x 8 =24

Answer:

The value of B for the following triangular prism is B) 24 ft 2

Step-by-step explanation:

Right angled triangleA triangle with one of the angles as 90° is called Right angled triangle. In the right angled triangle we can find the other side if the two sides are known with the help of Pythagoras theorem.

Area of the base of the following triangular prism is right angled triangle .

Therefore,

Area of right angle triangle= [tex]\frac{1}{2}[/tex]×[tex]base[/tex]×[tex]height[/tex]

                                            = [tex]\frac{1}{2}[/tex]×[tex]6[/tex]×[tex]8[/tex]

                                            =24[tex]ft^{2}[/tex]

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A rectangle has an area of of 40 square inches, and one of its dimensions is 8, what is the missing dimension?

Answers

Answer:

5

Step-by-step explanation:

To get the area of a rectangle, you just multiply the width * Length. Since you already have one of the dimensions, then just do the oppositie of multiplication by dividing. So you would do 40/8 = 5.

Answer:

5 in

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L*W.

Here, A = 40 in^2 = (8 in)x, so that

x = (40 in^2) / (8 in) = 5 in

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