One number added to twice another number is 30. The sum of the numbers is 19.
Write and solve a system of equations to represent this situation.
What is the value of the smaller number?
What is the value of the larger number?

I don't understand :(

Answers

Answer 1

Answer:

The smaller number is 8

The bigger number is 11

Step-by-step explanation:

let the first number be A

let the second number be B

A + 2B = 30..... equation 1

A + B = 19...... equation 2

Subtract equation 2 from 1.

A + 2B = 30

- A + B = 19

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

0 + B = 11

B = 11

Substitute B = 11 into equation 2

A + B = 19

A + 11 = 19

collect like terms

A = 19-11

A = 8.

A= 8 and B = 11


Related Questions

-y^2 =25y+6y^3
find y





Answers

There are 3 y’all in the equation

Answer:

y=0

Step-by-step explanation:

Hope this helps you.

The diameter of a circle is 4 cm. Find its area in terms of \piπ.

Answers

Answer:

Area of circle = 4π.

Step-by-step explanation:

Given the following data;

Diameter = 4cm

Pie = π.

To find the area of the circle;

Radius = diameter/2

Radius = 4/2

Radius = 2cm

Area of a circle = πr²

Substituting into the equation, we have;

Area of circle = π*2²

Area of circle = 4π.

I will give you Brianlyist

Answers

Answer:

what do you need help with?

Step-by-step explanation:

**you will get a real answer i promise**:)

Answer:

I don't understand the problem

Can someone help me please ?

Answers

Step-by-step explanation:

For A

The name of two similar triangles is ABC and CED.

For b

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Here

< BAC = < CED ( given)

<ACB = < ECD ( vertically opposite angles)

A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.

Answers

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

a woman spent 3/5 of her weekly salary on rent and 25% of her weekly salary on food. Her food cost $2500. How much did she spend on rent

Answers

Answer:

$6,000

Step-by-step explanation:

If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.

Answer:

$6,000 on rent

Step-by-step explanation:

Find her weekly salary by dividing 2500 by 0.25

2500/0.25

= 10,000

Now, find how much she spent on rent by multiplying 10,000 by 3/5

10,000(3/5)

= 6,000

So, she spent $6,000 on rent

simplify the first expression 5(m+1)-1=

Answers

Answer:

-0.8/ -4/5

Step-by-step explanation:

5(m+1) -1 = 0

5m +5 -1 = 0

5m +4 =0

5m= -4

m= -4/5

7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?

12

8. Question 7 is an example of...

Direct proportion
Inverse proportion​

Answers

the answer is inverse proportion

The wages
w
(in £) Gordon earns is the number of hours he works
n
multiplied by his hourly rate
r
(in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hour

Answers

n×r=£w

That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Calculate the area of the trapezoid, which is not drawn to scale.

Answers

Answer:

38 in

Step-by-step explanation:

Ok, so the bottom part is a rectangle and the top part is a triangle. We’re gonna split those into two different shapes.

8 * 4 = 32, this is the area of the bottom rectangle.

To get the side length of the top triangle, we have to subtract 8 from 11.

11 - 8 = 3

(3 * 4)/2 = 6, this is the area of the top triangle.

Add the two areas, 32 + 6 = 38

And that’s it, maybe, I think.

Pl help it’s for a grade

Answers

A.

Hope this helps. :))))


[tex] {3}^{x ^{2 - 1} } = \frac{ {27}^{ - x} }{3 } [/tex]

Answers

Answer:

-1/4

Step-by-step explanation:

kate pays $203 in advance on her account at the athletic club. Each time she uses the club, $9 is deducted from the account. Find the remaining in the account after 12 visits

Answers

Answer:

95

Step-by-step explanation:

The equation to solving this would be 203 - (9 multiply 12). If you multiply 9 and 12 you get 108. Minus 108 from 203 and you get 95.

18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?​

Answers

as uve not shown no options it shud be round bout 2350000

Step-by-step explanation:

Answer:

2,350,000

Step-by-step explanation:

this is the answer I believe

Evaluate the expression (14 − 4)2 ÷ 10.

The value of the expression is value of

Answers

Answer:

2

Step-by-step explanation:

PEMDAS says to do the equations in parentheses first

(14-4) = 10

PEMDAS then says to do multiplication or division, whichever comes first in the equation, which is multiplication in this case

(10)2 = 20

20 ÷ 10 = 2

Can somebody solve this for me please?

Answers

Answer:

D

Step-by-step explanation:

A group of high school students are volunteering for Habitat for Humanity during their summer break. They
are putting the finishing touches on a house they built. Working alone, Kendra can paint a certain room in 7
hours. Joe can paint the same room in 6 hours. Write an equation that can be used to find how long it will
take them working together to paint the room. How many hours will it take them to paint the room? If
necessary, round your answer to the nearest tenth.

Answers

In response to the question, we may say that It will take Kendra and Joe expression approximately 3.2 hours to paint the room together.

what is expression ?

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

Let's denote the time it takes Kendra to paint the room as "K" and the time it takes Joe to paint the room as "J". We can use the formula:

[tex]1/K + 1/J = 1/T\\1/7 + 1/6 = 1/T\\13/42 = 1/T\\13T = 42\\[/tex]

Therefore, T = 42/13 ≈ 3.2 hours (rounded to the nearest tenth).

It will take Kendra and Joe approximately 3.2 hours to paint the room together.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ1

Triangle A is transformed by the
combined transformation of a rotation
of 180° about the point (-1,0) followed
by a translation with vector
-3
2)
One point on triangle A is invariant
under the combined transformation.
What are the coordinates of this point?

Answers

Answer:

( -2.5 , 1 )

Step-by-step explanation:

(-2.5 ,1 ) hope this helps u

Determine if the following is discrete or continuous data: The function c =
12p gives the cost c based on the number of pizzas p.

Answers

Answer:

Step-by-step explanation:

Remember, discrete data is separate, by itself, but continuous data goes on and can have numbers in between.  So this problem is c = 12p is the cost of pizzas, you can have 1 pizza, 2 pizzas, 10 pizzas, 30 pizzas, etc., but you can't have 2.1314552 pizzas or 4.5, etc., so the data is discrete. Think of the graph, you would not connect the dots if you were graphing this data.

6. Y(3.5, 1), Z(-4, 2.5)
Please help

Answers

Answer:

Answer given below

Step-by-step explanation:

5. Root 104 = 10.1

10.1 x 0.5 = 5.05 miles

Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the other base?

Answers

Answer:

where are the choices?

Step-by-step explanation:

Where are the choices?

3
Choose all the expressions that are equal to
A.
8
15
5
11
B.
7
12
+
6
C. 5
6
-
1
12
D.
5. 1+
E.
7
20
3
5

Answers

Answer:

the answers (D)

Step-by-step explanation:

A university considers giving only pass/fail grades to freshmen to reduce competition and stress. The student newspaper interviews faculty members and reports their opinions of the proposed policy. Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed. The goal is to find the probability that a majority (26 or more) will favor the proposal.

Answers

Answer:

0.9983 = 99.83% probability that a majority will favor the proposal.

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed.

This means, respectively, that [tex]p = 0.7, n = 50[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 50*0.7 = 35[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.7*0.3} = 3.24[/tex]

Probability that a majority (26 or more) will favor the proposal.

Using continuity correction, this is [tex]P(X \geq 26 - 0.5) = P(X \geq 25.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 25.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25.5 - 35}{3.24}[/tex]

[tex]Z = -2.93[/tex]

[tex]Z = -2.93[/tex] has a pvalue of 0.0017

1 - 0.0017 = 0.9983

0.9983 = 99.83% probability that a majority will favor the proposal.

Use the Distributive Property to simplify the expression.

$\frac{1}{4}\left(8+x+4\right)=$

Answers

The expression isn’t clear I really wanna help you

What is the measure of the missing angle?

Answers

Answer:

115

Step-by-step explanation:

To find the missing angle all you have to do is add the 2 nonadjacent interior angles which are 75 and 40 to get the exterior angle which is 115.

Hope this helps!:)

75+40+x=180

X= 65

65 + x= 180

Answer is 115°

A number x decreased by 6 is at most 11.​

Answers

Answer:

17?

Step-by-step explanation:

A new car loan has monthly payments of $482.75. How much money will be paid on the car loan after 3 years?

Answers

Answer:   17,379 dollars

========================================================

Work Shown:

1 year = 12 months

3*(1 year) = 3*(12 months) ..... multiply both sides by 3

3 years = 36 months

You'll make 36 payments, each being $482.75, which means the total amount of money paid is 36*482.75 = 17,379 dollars

Which of the following is true of a radius of a circle?
(1) Radius is twice the diameter in any circle
(2) Radius is the distance from the center to any point on the circle.
(3) All radii in circles have the same value.

Answers

The second one is correct (Radius is the distance from the center to any point on the circle)

Answer:

2.)

Step-by-step explanation:

The radius of any circle is the distance from the EXACT center, to any point of the circle.

Allison earns a 10% commission on her weekly sales. Each week, she puts of her commission in a savings account and uses the amount remaining on bills. If Allison's sales for one week were $2,300.00. how much money does she use for bills?​

Answers

Answer:

$2,070 is how much she will use for bills.

Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.

Answers

Answer:

these rates are equivalent.

12bottles/$4= 18bottles/$6= 3bottles/$1

Step-by-step explanation:

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