Solve the following problems. It may be helpful to set up an equation. The sum of two numbers is 13, the difference is 4. What are the numbers? pls help

Answers

Answer 1

Answer:

y = 4 1/2

x = 8 1/2

Step-by-step explanation:

x + y = 13

x - y = 4

substitution method:  let x = 4+y

4+y + y = 13

2y = 9

y = 4 1/2

x = 8 1/2


Related Questions

Can you figure out the answer?​

Answers

Answer:

1680

Step-by-step explanation:

480x3=1440

480/2=240

1440+240=1680

2 3/4 + 12 6/8 = answer

Answers

Answer:

15 1/2

Step-by-step explanation:

Answer:

15 1/2

Step-by-step explanation:

ILL MARK BRAINLIEST OF CORRECT AND GIVE 25 POINTS
This figure was broken into a triangle and a parallelogram as shown.

Use the figures to complete the statements.

The height of the triangle h is
in. 10 12 22
The area of the triangle is
in.2.40 48 80 96
The area of the parallelogram is
in.2 40 48 80 96.
The area of the irregular figure is
in.2. 88 128 144 176

Answers

Step-by-step explanation:

The height of the triangle H is 12

The area of the triangle is 48

The area of the parallelogram is 80

The area of the irregular figure is 128

I think

:)

Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the letters of the word DANCER be arranged in a row? Since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. So the answer is . (b) How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit? (c) How many ways can the letters of the word DANCER be arranged in a row if the letters NCE must remain together (in order) as a unit?

Answers

Answer:

(a) 720 ways

(b) 120 ways

(c) 24 ways

Step-by-step explanation:

Given

[tex]Word = DANCER[/tex]

[tex]n =6[/tex] --- number of letters

Solving (a): Number of arrangements.

We have:

[tex]n =6[/tex]

So, the number of arrangements is calculated as:

[tex]Total =n![/tex]

This gives:

[tex]Total =6![/tex]

This gives:

[tex]Total =6*5*4*3*2*1[/tex]

[tex]Total =720[/tex]

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

[tex]n = 5[/tex]

So, the number of arrangements is calculated as:

[tex]Total =n![/tex]

This gives:

[tex]Total =5![/tex]

This gives:

[tex]Total =5*4*3*2*1[/tex]

[tex]Total =120[/tex]

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

[tex]n = 4[/tex]

So, the number of arrangements is calculated as:

[tex]Total =n![/tex]

This gives:

[tex]Total =4![/tex]

This gives:

[tex]Total =4*3*2*1[/tex]

[tex]Total =24[/tex]

free 100 pointssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

You are very cool person

Answer:

Thank you for the points man I really need them to ask a huge question

Step-by-step explanation:

I answer your question, I get the points, I make the question, someone elce gets the points.

what is the unit price of 12 cupcakes for 25 dollars​

Answers

Answer:

Unit price of 12 cupcakes for 25 dollars = 25/12

= 2.08 dollars

Answer:

The unit price would be $2.08 for a cupcake because if you divide 12 and 25, you would get 2.08.

Step-by-step explanation:

a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.​

Answers

He made no gain

He bought 2 watches for $400
400/2=200
Each watch was $200
He gained 5% on one watch
200•1.05=210
He lost 5% on the other
200•0.95=190
210+190=400
Therefore he neither made nor lost any money

A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the first concert, 42% attended the second one, 30% attended the third one, 80% attended at least one of the three concerts, 10% attended the first and second ones, 8% attended the first and third ones, and 7% attended the second and third ones. Find the probability that a randomly selected audient attended all the concerts

Answers

Answer:

[tex]P(X\cap Y\cap Z)=0.05[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert [tex]P(X)=0.28[/tex]

Percentage of audience in second concert [tex]P(Y)=0.42[/tex]

Percentage of audience in third concert [tex]P(Z)=0.30[/tex]

Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]

Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]

Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]

Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]

 

Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by

[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]

[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]

[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]

[tex]P(X\cap Y\cap Z)=0.05[/tex]

Therefore the probability that a randomly selected audient attended all the concerts

[tex]P(X\cap Y\cap Z)=0.05[/tex]

If a varies inversely with b, and a=20 when b=1/4, find the equation that relates a and b

Answers

Answer:

Step-by-step explanation:

280ora

Hector is training for a race. During week 1, he will run 8 miles. He plans to run
27 miles in week 12.
Which equation shows how to find x, how many more miles Hector will run in
week 12 than in week 1?
A. X + 8 = 27
B. X - 8 = 27
C. -8 + x = 27
D. 8 - x = 27

Answers

Answer:

A

Step-by-step explanation:

How you find x is you do 27-8. You get 19. If you do 19+8 and think of 19 as x, you get 27. This is why A is correct

B is the answer hope this helped

PLEASE HELP :c

The figure below shows a shaded rectangle inside a large rectangle:

If you choose a point inside the large rectangle, what is the probability that it is not inside the shading rectangle?

A - 24%

B - 27%

C - 46%

D - 54%

Answers

Answer:

c                                                    

Step-by-step explanation:

PLEASEI BEG U ALL PLEASE 26 POINTSPLEASE JUST HELP ME ON THIS I DONT HAVEMUCH TIMELEFT

Answers

Answer:

a) 14

b) 7/45

Step-by-step explanation:

a) 12 are male and studied chemistry

b) There are 14 male Biologists and 90 in total which is 14/90 which = 7/45

(I'm not 100% sure but if I'm wrong I'm very sorry)

I read the question wrong 3 times I'm blind

In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?

Answers

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In triangle ABC,

m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.

As, the sum of all the angles of triangle is equal to the 180 degree. Thus,

[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]

Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

#SPJ2

Mickey exercises 1/4 hour every day.
How many hours does he exercise in 8 days?

Answers

Answer: You multiply 8 x 3/4=24/4.  Then you simplify your answer and it is 6 hours.  24/4 is division 24 divided by 4 equals 6.

Step-by-step explanation: Or, you can change 3/4 to a decimal which is .75.  Then you multiply .75 x 8 and the answer is 6.00 which is 6 hours because you do not use the zeros after the decimal point.

Answer:

2 hours

Step-by-step explanation:

You can just multiply 1/4 by 8. You're simply just adding on 1/4 8 times, and that is the same as multiplying.

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

half of 11:

5.5^2 x 3.14

30.25 x 3.14 = 94.985

round

94.99

pls help its due soon

Answers

A reflection over the x axis followed by a dilation.
Explanation:
The image is flipped over the x axis and also bigger which means x,y were multiples making it a dilation.

Please help (no links) or i will report you i just need answers

Answers

1. b=117°

2.c=67°

have an amazing day <3

1) 117 degrees

If angle A and angle B aré supplementary this means that they add up to 180 degrees

180 degrees - 63 degrees leaves us with 117 degrees for number 1

2) 67 degrees

If angle C and angle D are complementary, this means they add up to 90 degrees

90 degrees - 23 degrees = 67 degrees

Hope this helps :)

36’s square root is what??? This is literally due in 15 minutes!

Answers

Answer:

square root of 36 is 6

Step-by-step explanation:

because 6 x 6 =36

Answer:

the square root is of 36 is 6

what is the domain of y=log5x?
A. all real numbers less than 0
B. all real numbers greater than 0
C. all real numbers not equal to 0
D. all real numbers
I'm sorry to rush but I need the answer kinda quickly​

Answers

there are no real values for log of 0 or negatives.

So the answer is B

Solve for x.
2 In (3x)=-4
Do not round any intermediate computations, and round your answer to nearest hundredth

Answers

3x=4

To get x by itself, you need to divide 3 on both sides.

Your answer in fraction form:4/3
Your answer in decimal form:1.3

A right triangular prism is shown.
6 in.
11 in.
8 in.
What is the volume in cubic inches of the prism? Enter only the number.

Answers

The volume in cubic inches of the prism is 528 cubic inches.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

The volume is calculated as:-

V = L  x  W  x  H

V = 6  x  11  x   8  

V = 528 cubic inches

Therefore the volume in cubic inches of the prism is 528 cubic inches.

To know more about Volume follow

https://brainly.com/question/1972490

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Review graph I and graph II.

On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).

On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).

Which statement compares the limit as x approaches –4 for the two graphs?

In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.

Answers

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

:)

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

the guy above me lol

What is the part of the steam engine that does the work?


the flywheel


the piston


the turbine


the cylinder

Answers

Flywheel

Because the steam engine uses steam pressure as a force to push the piston back in forth inside a cylinder, the pushing force is the flywheel

Answer:

Piston

Step-by-step explanation:

Because i took the test       ..................................

In the finger above what is m

Answers

Answer:

ABE is 180-64.5= 115.5

EBE is 90-64.5= 25.5

Choose the sentence that is out of sequence.

Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.

Answers

Answer:

C.

Step-by-step explanation:

Analysis of the venom of seven eight-day-old worker bees yielded the following observations on histamine content in nanograms: 649, 832, 418, 530, 384, 899, 755.
(a) Construct by band a 90% CI for the true mean histamine content for all worker bees of this age. What assumptions, if any, are needed for the validity of the CI?
(b) The true mean histamine content will be in the CI you constructed in part (a) with probability 90%. True or false?
(c) Find the confidence level of the CI (418, 832) for the population median histamine content.

Answers

Answer:

a.

• The population is normally distributed

• The 7 subjects represent a random sample from this population

b. True

c. 74.16%

Step-by-step explanation:

on using data [649, 832, 41 8, 530, 384, 899, 755] (please correct if wrong)

sample mean: 638.143

s: 201.72

Sample Mean = 638.143

SD = 201.72

Sample Size (n) = 7

Standard Error (SE) = SD/root(n) = 76.243

alpha (a) = 1-0.9 = 0.1

we use t-distribution as population standard deviation is unknown t(a/2, n-l ) = 1.9432

Margin of Error (ME) = SE = 148.1554

90% confidence interval is given by: Sample Mean +/- (Margin of Error) 638.143 +/- 148.1554 = (489.9876 , 786.2984)

• The population is normally distributed

• The 7 subjects represent a random sample from this populatio

(b) true, this is the definition of Cl

(c) (41 8, 432) has width = 14

hence, Margin of error = 7

sorted data is 384, 418, 530, 649, 755, 832, 899

Here 418 and 432 are 2nd and 6th entry of sample size of 7

Since median is given by (1 + n/2 + z(alpha/2)*sqrt(n) /2 )th entry on the right, we conclude that 1 + (3.5 + this gives z = 1.1339 ==> alpha = 0.2584

Hence this Cl is of 74.16% (approximately)

Note that your course might have given a different formula for calculating Cl medians from sample.

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.05, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? State the null and alternative hypotheses for the test.

Answers

Answer:

The null hypothesis is [tex]H_o: \mu = 4[/tex].

The alternate hypothesis is [tex]H_a: \mu \neq 4[/tex]

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

[tex]H_o: \mu = 4[/tex]

At the alternate hypothesis we test if it is different. So

[tex]H_a: \mu \neq 4[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that [tex]\mu = 4[/tex]

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that [tex]n = 196, X = 4.14[/tex]

He knows that the population standard deviation is 0.83 cm.

This means that [tex]\sigma = 0.83[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}[/tex]

[tex]z = 2.36[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Hallar la altura(h) de un triángulo que tiene una base 12 metros y un área de 96
metros cuadrados. Opción única.
(2 puntos)

16

11

15

Answers

Answer:

Height of triangle = 16 meter

Step-by-step explanation:

Given:

Area of given triangle = 96 squares meter

Base length of triangle = 12 meter

Find:

Height of triangle

Computation:

Area of triangle = (1/2)(b)(h)

Area of given triangle = (1/2)(Base length of triangle)(Height of triangle)

96 = (1/2)(12)(Height of triangle)

96 = (6)(Height of triangle)

Height of triangle = 96 / 6

Height of triangle = 16 meter

Ben has a number cube with sides numbered 1 through 6. He rolls the number cube once.
What is the probability of rolling an odd number?

Answers

Answer:

1/5

Step-by-step explanation:

help pleaseeeeee? omggggg

Answers

-3/1 hope this helps
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