The sum of two numbers, a and b, is 75. The sum of 2a and 3b is 202. What is the difference between the two numbers?

Answers

Answer 1

Answer:

29

Step-by-step explanation:

a=23

b= 52

multiply eq. i with 2 then subtract from eq. ii

Answer 2

Answer:

the answer is -29 and -110


Related Questions

solve by substitution 3x +y=13 and 5x-2y=7​

Answers

Answer:

x=3

y=4

Step-by-step explanation:

I'm using 3x+y=13 to find y, then plug y into the second equation.

y= -3x+13

5x-2(-3x+13)=7

find x.

5x+6x-26=7

11x=33

x=3

now plug x into 3x+y=13(you could do it with the other equation too)

3(3)+y=13

y=13-9

y=4

The value of x and y is 3, and 4 respectively by the substitution method.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations;

3x +y=13 ...(1)

5x-2y=7​ ...(2)

By using the substitution method.

[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]

y = 4

Plug y = 4 in equation (1)

3x + 4 = 13

x = 3

Thus, the value of x and y is 3, and 4 respectively by the substitution method.

Learn more about the linear equation here:

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The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

9x^2-36x+16

A.True
B.False​

Answers

Step-by-step explanation:

9x² - 36x + 16

= (Ax - B)² = A²x² - 2ABx + B².

By Comparing Coefficients, we have:

A² = 9,

2AB = 36,

B² = 16.

It is obvious that A = 3 and B = 4.

However 2AB = 2(3)(4) = 24 which is not equal to 36.

Hence 9x² - 36x + 16 is not a perfect square trinomial.

Answer:

False

Step-by-step explanation:

The polynomial cannot be factored.

I can't figure this out
Please help!!

Answers

Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get  -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!

Find the inverse:
-3x+7y=14

Answers

9514 1404 393

Answer:

  -3y +7x = 14

Step-by-step explanation:

The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...

  -3x +7y = 14 . . . . given relation

is

  -3y +7x = 14 . . . . inverse relation

You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?

Answers

Answer:

Sales tax is $2.73. Making the total $41.73

Answer:

2.73 or [tex]\frac{273}{100}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

It is $2.73 because 7% of $39 = 2.73 or [tex]\frac{273}{100}[/tex] according to Desmos.

[tex]--------------------------------------------[/tex]

$39 + $2.73 = $41.73 = Total

[tex]--------------------------------------------[/tex]

The sales tax is $2.73

[tex]--------------------------------------------[/tex]

The total is $41.73

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Ethan buys a video game on sale. If the video game usually costs $49.99, and it was on sale for 30% off.​

Answers

Answer:

$34.99

Step-by-step explanation:

49.99 - 14.997=

34.99

Answer:

the answer is 34.99

if you want me to explain i will ")

Grant paid $12 for 4 baseball card packs. How many baseball card packs can he purchase for $21? Group of answer choices

Answers

Answer:

Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.

Answer: 7

Step-by-step explanation:

Answer:

7 packs

Step-by-step explanation:

12/4 = $3 ea.

21/3 = 7 packs

Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?

Answers

Answer:

The expected value is 5.6

Step-by-step explanation:

Here, we want to calculate the expected value of x

Mathematically, that will be the probability multiplied by the number of items

In this case, that will be ;

0.28 (28%) * 20 = 5.6

How many ways can 3 yearbook posters out of a total of 6 posters be displayed across a wall?​

Answers

9514 1404 393

Answer:

  120

Step-by-step explanation:

The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...

  6 × 5 × 4 = 120

3 posters of 6 can be displayed 120 ways.

Given m||n, find the value of x.
+
(8x-4)º
(6x-12)

Answers

Answer:

x = 14

Step-by-step explanation:

(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)

6x - 12 + 8x - 4 = 180

Add like terms

14x - 16 = 180

14x = 180 + 16

14x = 196

x = 196/14

x = 14

what is the y-intercept of f(x)=3/5x
a. (1, 0)
b. (1, 3/5)
c. (0, 0)
d. (0, 1)

Answers

Answer
F(0)=0

I can put the work in the comments if you need it :)

Answer:

o,1

Step-by-step explanation:

if the cost of 1 packet biscuit is Rs.17.50,what is the cost of 8 packets of biscuits?​

Answers

1 paket bisküvinin maliyeti Rs. 17.50 ise, 8 paket bisküvinin maliyeti nedir?

Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x​ and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x​ ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5​ C. f(x) = \frac{4}{x} - 3f(x)= x 4​ −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3​ D. f(x) = \frac{x}{8} + 3f(x)= 8 x​ +3 and g(x) = 8x – 3​

Answers

Answer:

the answer is B

Step-by-step explanation:

Which function represents exponential decay with 5% as the rate of decrease?

Answers

Answer:

The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] B

Step-by-step explanation:

The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]

The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]

a is the initial valuer is the rate of increase or decrease in decimal

∵ The function represents exponential decay with 5%

→ By using the second rule above

y = a [tex](1-r)^{x}[/tex]

∵ The rate of decrease is 5%

r = 5%

→ Change it to decimal by dividing it by 100

∵ 5% = 5 ÷ 100 = 0.05

r = 0.05

→ Substitute it in the equation

∵ y = a [tex](1-0.05)^{x}[/tex]

y = a [tex](0.95)^{x}[/tex]

→ Look at the answer to find which equation is written in this form

∴ y = 50 [tex](0.95)^{x}[/tex]

The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]

PLEASE HELP ASAP BEST AND CORRECT ANSWER GET BRAINLIEST

Marla drove m miles. Lawrence drove 15 more miles than Marla. Jerry drove 2 more miles than Marla. Drag and drop the expressions into the boxes to write an expression that represents the total number of miles Marla, Lawrence, and Jerry drove in all.

___ + (plus) ___ + (plus) ___

m
15
2
m + 2
m + 15
m + 30
m - 2
m - 15

fill in the three blanks using three of those answers please!!

Answers

Answer:

m + (m + 15) + (m + 2)

Step-by-step explanation:

Even thought we don't know the value of m, we can use expressions to represent it.

Hope this helps.

The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Let's represent Marla drove "m" miles.

Since Lawrence drove 15 more miles than Marla.

So, this means the expression m + 15

Then Jerry drove 2 more miles than Marla.

So, this means the expression m + 2

Now, the total number of miles = m + (m + 15) + (m + 2)

This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Learn more about the algebraic expression here :

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please help i have 1 hour to complete this

Answers

Answer:

for the first one its C,D and E

but for the second one i dont

know so sorry

Step-by-step explanation:

Name the coordinates of each star in the map of a galaxy far, far away.

Answers

Answer:

they were each far far away from each other

Step-by-step explanation:

What is 3/10 as a decimal and as a representation percent? Please answer fast thanks

Answers

Answer:

as a decimal 0.3 and the percent is 30%

Answer:

in decimal :0.3 and in percent:3/10/total*100%

Step-by-step explanation:

in decimal: 3/10

=0.3

in percent= 3/10/total*100%

what is the estimate value of 976 divide by 0.188

Answers

Answer:

Estimating is used to help predict the answer to a calculation. We use estimation to make calculations more manageable and to give us an idea of the answer. Estimation is used in the construction industry, for example, when buying materials and planning labour.

Answer:

5191.4

Step-by-step explanation:

976/0.188

=5191.4

(a) Complete the table of values for the graph x + y = 6

Please help ❤️ complete the table leave the graph bit as I know how to do it

Answers

Answer:

(0,6)

(1,5)

(2,4)

(3,3)

(4,2)

Step-by-step explanation:

To solve this table first convert the equation to slope-intercept form (y=mx+b), to do this solve for y in the equation. The slope-intercept form is y=-x+6, where -1 is the slope and 6 is the y-intercept. Then from that, you can get your first point, because you know the y-intercept is 6, therefore when x equals 0 y must be 6. Next, because the slope is -1 that means the y-value decreases by 1 every time the x-value increases by 1. So to find the rest of the y-values simply subtract 1 from the previous y-value.

1/3 + 4 × 2/3 + (-12) ÷ 4

Answers

The answer of your question is zero

Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?

Answers

Answer:

C=2.50r+5.25

Step-by-step explanation:

(r represents each ride cost)

5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.

5.25+2.5x=c (cost) x is how many rides

please help me asap​

Answers

Answer: -18

Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18

If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?

Answers

Answer:

(5, -11)

Step-by-step explanation:

We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.

If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)

Evaluate log 473 round to the nearest hundredth

Answers

Answer:

473 rounded to the nearest hundredth, would be 400.

Simplify.
(+18)%(-6)​

Answers

Answer: -3

Step-by-step explanation:

18/6 = 3

18/-6 = -3

find the unit price if it cost $3 for eight cans of soda. round to the nearest cent.

Answers

Answer:

0.40 the actual answer is 3.20 but you said round so

Step-by-step explanation:

Answer:

0.38 is the answer for me

Step-by-step explanation:

Which of the following statements best describes the relationship between the point (5,-20) and the system of
inequalities below?

Answers

Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.

Step-by-step explanation:

It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.

So, we start by plugging in -20 for y and 5 for x.

y > -2x-3

-20 > (-2)(5) - 3

-20 > -10-3

-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.

y ≤ 3x + 2

-20 ≤ 3(5) + 2

-20 ≤ 15 +2

-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.

help me quick!!!!!!,!,!!

Answers

Answer:oof

Step-by-step explanation:

What two words describe the result set of a FULL OUTER JOIN minus the INNER JOIN result set in set theory parlance

Answers

Answer:

CROSS JOIN  (/^\s*symmetric\s*difference\s*$/)

Step-by-step explanation:

Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.

In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.

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