4) If the sum of two numbers is 64, and the larger number is 3 less than 3 times the
smaller number. Find the smaller number.

Answers

Answer 1

Answer:

x = 67/4

Step-by-step explanation:

Let x = smaller number and y = bigger number

Then x +y = 64 and y = 3x-3

Plugging y into x+y = 64

x + 3x -3 = 64

4x = 67

x = 67/4

Hope it helps.


Related Questions


Write -9 9/16 as a decimal

Answers

Answer:

-8.4375

Step-by-step explanation:

convert -9 9/16 to a improper fraction.

-9 x 16 = -144  

-144+9= -135

-135 divided by 16 = -8.4375

18
The measures tanker are shown
12 inches
10 inches
8 inches
Enter the come of the coolerin cubie inches

Answers

Answer:

78

Step-by-step explanation:

Help me plz what is the theme


Making new friends is too difficult, so you shouldn’t try.


You have to take risks in order to get rewards.


Jared felt lonely and sad because he was too afraid to take a chance.


Honesty is always the best policy.

Answers

Do you have the text like as in the passage ? If so upload it

Answer:

There is no passage/short story etc. to base this question off of, but if you copy and paste it I'll come back and edit my answer :)

what is a decimal in mathematics

Answers

Answer:

a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

Step-by-step explanation:

Somebody know the answer?

Answers

Your teacher does know the answer

If P=(5,4), Find the image of P under the following rotation.
180° counterclockwise about the origin.
([?], [?])

Answers

Answer:

(–5 , –4)

Step-by-step explanation:

when you rotate 180° whether clockwise or counterclockwise, the value of x and y will remain the same, but you need to change the + to – and – to +

how much would be in your savings account in 11 years after depositing $150 today if the bank pays 7% a year

Answers

The answer is 315.73

Select the correct answer.

If , what is the value of ?


A.

24


B.

50


C.

84


D.

75

Answers

heres the answer :) uhh i need 20 wrds so uhhhhhskcljadj

Brainliest pls help
Find the surface area and volume of the prism. Round your answer to nearest tenth.

Answers

Volume:

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

Rectangular prism Volume

5*5*6.3

157.5

Right triangle prism Volume

(3*5*6.3) / 2

94.5 / 2

47.25

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

204.8 cm^3 = Total Volume

Surface Area:

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

216.8 cm^2 = Total Surface Area

Which fraction is greater 2/5 or 4/10

Answers

They are equal. 2/5 is 4/10.

calculate the size of angle x​

Answers

Answer:

16

Step-by-step explanation:

14. Which step should be placed in the blank to make the solution correct?
V25 = 5 = 51 =
= (5 - 5)2 = 25
hich
A. 5 * = 5 + 5
B.
52+2 = 52.52
C. (51)
D. 52 + 5

Answers

The correct answer would be A

arrange the following fraction in descending order 1/2 5/7 1/4 or 1/8 11/12​

Answers

Answer:

11/12, 5/7, 1,8, 1/4, 1/2

Step-by-step explanation:

The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contain a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B.
Company A
34 59 43 30 3
32 42 85 30 48
110 50 10 26 70
52 83 78 27 70
27 90 38 52 76
Company B
46 63 43 33 65
104 45 27 39 84
75 44 34 51 63
42 34 34 65 64
(a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ1 = population mean minutes late for delayed Company A flights and μ2 = population mean minutes late for delayed Company B flights.)
A)H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
B) H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
C)H0: μ1 − μ2 < 0
Ha: μ1 − μ2 = 0
D) H0: μ1 − μ2 ≠ 0
Ha: μ1 − μ2 = 0
E) H0: μ1 − μ2 ≥ 0
Ha: μ1 − μ2 < 0
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
Company A______ min.
Company B______ min.
(c) Calculate the test statistic. (Round your answer to three decimal places.)
test statistic=
What is the p-value? (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
A) Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time
B) Do not Reject H0. There is statistical evidence that one airline does better than the other in
terms of their population mean delay time.
C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
D) Reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

Answers

Answer:

A)H0: μ1 − μ2 = 0

Ha: μ1 − μ2 ≠ 0

(b)  Means

Company A___50.6___ min.

Company B___52.75___ min.

c)The t-value is -0.30107.

The p-value is 0 .764815.

C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

Step-by-step explanation:

A)H0: μ1 − μ2 = 0

i.e there is no difference between the means of delayed flight for two different airlines

Ha: μ1 − μ2 ≠ 0

i.e there is a difference between the means of delayed flight for two different airlines

(b)

Company A___50.6___ min.

Company B___52.75___ min.

Mean of Company A = x`1= ∑x/n =34+ 59+ 43+ 30+ 3+ 32+ 42+ 85+ 30+ 48+ 110+ 50+ 10+ 26+ 70+ 52+ 83+ 78+ 27+ 70+ 27+ 90+ 38+ 52+ 76/25

= 1265/25= 50.6

Mean of Company B = x`2= ∑x/n =

=46+ 63+ 43+ 33+ 65+ 104+ 45+ 27+ 39+ 84+ 75+ 44+ 34+ 51+ 63+ 42+ 34+ 34+ 65+ 64/20

= 1055/20= 52.75

Difference Scores Calculations

Company A

Sample size for Company A= n1= 25

Degrees of freedom for company A= df1 = n1 - 1 = 25 - 1 = 24

Mean for Company A= x`1=  50.6

Total Squared Difference (x-x`1) for Company A= SS1: 16938

s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75

Company B

Sample size for Company B= n1= 20

Degrees of freedom for company B= df2 = n2 - 1 = 20 - 1 = 19

Mean for Company B= x`2=  52.75

Total Squared Difference (x-x`2) for Company B= SS2=7427.75

s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93

T-value Calculation

Pooled Variance= Sp²

Sp² = ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)

Sp²= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65

s2x`1 = s2p/n1 = 566.65/25 = 22.67

s2x`2 = s2p/n2 = 566.65/20 = 28.33

t = (x`1 - x`2)/√(s2x`1 + s2x`2) = -2.15/√51 = -0.3

The t-value is -0.30107.

The total degrees of freedom is = n1+n2- 2= 25+20-2=43

The critical region for two tailed test at significance level ∝ =0.05 is

t(0.025) (43) = t > ±2.017

Since the calculated value of t=  -0.30107.  does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.

The p-value is 0 .764815. The result is not significant at p < 0.05.

In this exercise, it is necessary to use the knowledge given by the airlines and the flights, having as a solution:

a)[tex]H_0: \mu_1 -\mu_2 = 0\\H_a:\mu_1 -\mu_2\neq 0[/tex]

b)  Means: Company A 50.6 min.

Company B 52.75 min.

c)The t-value is -0.30107.

The p-value is 0 .764815.

C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

A)[tex]H_0: \mu_1 -\mu_2 = 0[/tex]

There is no difference between the means of delayed flight for two different airlines:

[tex]H_a:\mu_1 -\mu_2\neq 0[/tex]

There is a difference between the means of delayed flight for two different airlines.

(b) Mean of Company A[tex]= x_1= \sum{x/n} = 1265/25= 50.6[/tex]

Mean of Company B [tex]= x_2= \sum{x/n} =1055/20= 52.75[/tex]

C) Difference Scores Calculations:

Company A:

Sample size for Company [tex]A= n1= 25[/tex]

Degrees of freedom for company [tex]A= df1 = n1 - 1 = 25 - 1 = 24[/tex]

Mean for Company [tex]A= x_1= 50.6[/tex]

Total Squared Difference for Company [tex]A= SS1: 16938\\s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75[/tex]

Company B:

Sample size for Company [tex]B= n1= 20[/tex]

Degrees of freedom for company [tex]B= df2 = n2 - 1 = 20 - 1 = 19[/tex]

Mean for Company[tex]B= x_2= 52.75[/tex]

Total Squared Difference for Company [tex]B= SS2=7427.75\\s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93[/tex]

T-value Calculation

Pooled Variance= Sp²

[tex]Sp^2= ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)\\Sp^2= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65\\s2x_1 = s2p/n1 = 566.65/25 = 22.67\\s2x_2 = s2p/n2 = 566.65/20 = 28.33\\t = (x_1 - x_2)/\sqrt{s2x_1 + s2x_2} = -2.15/\sqrt{51} = -0.3[/tex]

The t-value is -0.30107.

The total degrees of freedom is [tex]= n1+n2- 2= 25+20-2=43[/tex]

The critical region for two tailed test at significance level ∝ =0.05 is [tex]t(0.025) (43) = t > 2.017[/tex]

Since the calculated value of t=  -0.30107.  does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.

The p-value is 0 .764815. The result is not significant at p < 0.05.

Learn more: brainly.com/question/14356533

There were 8 pizzas at the pizza party for two families. The Houston family ate 2 2/3 pizzas.
The Ozark family ate 2 5/6 pizzas.
What whole number is the closest estimate of how many pizza was left

Answers

Answer:2 pizzas

Step-by-step explanation:

2 2/3 and 2 5/6 can both be rounded to 3. Double that and you get 6. Since there were 8 pizzas originally,subtract 6 from 8 to get 2 remaining pizzas.

Answer:

2 pizzas

Step-by-step explanation:

can anybody help me please

Answers

Answer:

Is B

Step-by-step explanation:

Answer:

      B

Step-by-step explanation:

simplify 1/a+b + 1/a-b + 2b/a^2-b^2​

Answers

Answer:

−a^2 b^2 + 2a + 2b

_________________

             a^2

Step-by-step explanation:

Please mark as brainliest if answer is right  

Have a great day, be safe and healthy  

Thank u  

XD  

Based on the definition of independence, which THREE statements are correct?
P(A) ,
A)
1
1
and B)
12
Events A and B are independent.
12
35
Events A and B are independent.
P(A) = 4, P(B) = , P(A and B) =
B)
1
1
P(A)
A B
10
Events A and B are independent.
P(A) = , P(B) = , P(A and B) =
7.
12
D)
Events A and B are dependent.
PLA) = }, PB) - to, P(A and B) - 1 2 3
E)
Events A and B are independent.

Answers

Answer: A, D, and E

Step-by-step explanation:

3x-8= 4
What is the first and second steps in solving this equation?

a. Multiply each side by 3

b. Divide each side by 3
c.Add 8 to each side

d. Subtract 8 from each side

Answers

I believe the answer is D

If there were 30 questions on a test, and John got 24 of the correct, what is the percentage of the number of questions John got correct?

Answers

Answer: he got 80/100 or 80% right

Step-by-step explanation:

24/30 = 12/15

12/15 as a percent:

100/15 = 6.66666666666667

12 x 6.66666666667

15 x 6.66666666667

= 80/100 or 80%

express 0.6 + 0.47 in the form p/q where p and q are integers q are not equal to 0​

Answers

Answer:

[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]

Step-by-step explanation:

Given

[tex]0.6 + \bar 0.47[/tex]

Required

Express as x/y

Let

[tex]x = \bar 0.47[/tex]

This implies that:

[tex]x = 0.4747[/tex] --- (1)

Multiply by 100

[tex]100x = 47.4747[/tex] --- (2)

Subtract 1 from 2

[tex]100x - x = 99x[/tex]

This gives

[tex]47.4747 - 0.4747 = 47[/tex]

So:

[tex]99x = 47[/tex]

Solve for x

[tex]x = \frac{47}{99}[/tex]

This implies that:

[tex]\bar 0.47 = \frac{47}{99}[/tex]

[tex]0.6 + \bar 0.47[/tex] becomes

[tex]0.6 + \bar 0.47 = 0.6 + \frac{47}{99}[/tex]

Express 0.6 as fraction

[tex]0.6 + \bar 0.47 = \frac{6}{10} + \frac{47}{99}[/tex]

Take LCM and solve

[tex]0.6 + \bar 0.47 = \frac{99*6+10*47}{990}[/tex]

[tex]0.6 + \bar 0.47 = \frac{1064}{990}[/tex]

Simplify

[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]

PLEASE HELP I DON’T UNDERSTAND

Answers

Answer:

yea I don't understand either kid, it's upside down.

Step-by-step explanation:

Someone please help me, this test determines if I pass or not.

Answers

Answer:

Your answer is C :)

please please help me!!!!!!!​

Answers

Answer: there is your answer and how

Step-by-step explanation:

One more question 50 points

Answers

Answer:

5 complete scarves

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Total yarn = (amount of yarn per scarf) (amount of scarfs)

(8/9) = (1/6) (amount of scarfs)

amount of scarfs = (8*6)/9 = 48/9 = 5. 33333, so the amount of complete handkerchiefs she can make is 5.

Explain how to graph the following including asymptotes and key features. f(x)=3^x+2

Answers

Answer:

y=2

Step-by-step explanation:

Help pls I rlly need help it’s important

Answers

Answer:

2. 112

3. 78

5. 672

7.  149.8

9. 17.5

10. 19360

11. 64 000

13. 29

14. 350240

15. 386

16. 224

17. 0.9071847

Step-by-step explanation:

Given : M, N, O are midpoints of AB, BC, AC Complete the following statements
MNOA is a

Answers

the answer is trapezoid

write an addition equation for a triangle with side lengths of 3, √2, √7

Answers

Answer:

3² = (√2)² + (√7)²

Step-by-step explanation:

The given sides to us are 3 , √2 and √7. We can check if these are the sides of right angled triangle.

For that , we can use Pythagoras Theorem , which is = + . Here 3 is the longest side so , it can be hypotenuse.

=> h² = p² + b²

=> 3² = (√2)² + (√7)²

=> 9 = 2 + 7

=> 9 = 9

Hence the ∆ is right angled .

Hence the addition equation is 3² = (√2)² + (√7)² .

Donna wants to save $700 to buy a TV. She saves $17 cach week. The amount, A (in dollars), that she still needs after w weeks is given by the following
function
A(w)= 700 - 17w
Answer the following questions.
(a) How much money does Donna still need after 6 weeks?
s
(b) If Donna still needs $411, how many weeks has she been saving?

Answers

Answer:

Part A:

She would need $598 after 6 weeks of collecting money.

Part B:

She would have waited 17 weeks to have $411 left.

Step-by-step explanation:

Part A:

Replace w in 700 - 17w with 700 - 17(6).

This would give you $598 left until $700 has been reached.

Part B:

Replace w in 700 - 17w with 700 - 17(17).

This would give you $411 left until $700 has been reached.

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Explain the difference between a living and a dead language. Tobin finds satellite images of a factory and an athletic stadium. She puts the images on a coordinate grid (shownbelow). (khan academy) 3 HINDI MAGANDANG EPEKTO NG PAGSUSUNOG NG MGA BASURA. (EXCEPT NA MASISIRA ANG OZONE LAYER) 1.________2.________3.________IN ENGLISH:3 BAD EFFECTS OF BURNING GARBAGE (EXCEPT THAT OZONE LAYERS WILL BREAK.) 1._________2._________3._________ can you help me with this please speech on friendship What is the volume of a cone with a radius of 8.7 inches and height of 14 inches? (Use 3.14for N) please help. Will give BRAINLIEST!!!!! What type of compound is a salt What's the gradient of y=3x+1 A landscaper records the heights, in feet, of 15 newly planted trees in a community garden, as shown.3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9Complete the histogram by selecting the frequencies for the heights of the newly planted trees in the community garden. Which equation matches the graph shown ?A. Y=8x^2 +2x -5B. Y= 8x^2 +2x +5 C. Y=2x^2 + 8x +5 D. Y=2x^2 + 8x -5 Empire Electric Company (EEC) uses only debt and common equity. It can borrow unlimited amounts at an interest rate of rd = 11% as long as it finances at its target capital structure, which calls for 45% debt and 55% common equity. Its last dividend (D0) was $1.85, its expected constant growth rate is 3%, and its common stock sells for $22. EEC's tax rate is 25%. Two projects are available: Project A has a rate of return of 13%, and Project B's return is 10%. These two projects are equally risky and about as risky as the firm's existing assets. What is its cost of common equity? Do not round intermediate calculations. Round your answer to two decimal places. % What is the WACC? Do not round intermediate calculations. Round your answer to two decimal places. % Which projects should Empire accept? -Select- ) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank HELPPPOOPOPPPP!!!! PLEASE A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the companys claim? The 1255 people residing in the state of Oz want their yellow brick road repaved. It could be repaved with standard asphalt for a cost of $163403 or with shimmering gold asphalt for $8623195. The senator that represents Oz in the national legislature argues that the yellow brick road is a national treasure and a tourist attraction. As such, the senator argues that the nation of 4363963 people should pay for the repaving. Round your answer to two decimals for all of the following questions. What is the cost per person if the national government pays for gold asphalt? $ ________ /person What is the cost per person if the state of Oz pays for gold asphalt? $ ________/personWhat is the cost per person if the state of Oz pays for standard asphalt? $________/person Which asphalt will likely be chosen if the residents of Oz?a. gold asphalt b. standard asphaltWhich asphalt will likely be chosen if the national bear the cost of repaving? government bears the cost of repaving? a. gold asphalt b. standard asphalt Wild cheetahs live in the African grasslands. Previous estimates of the size that the wild cheetah population must be, in order for these animals to survive a natural disaster in the African grasslands region were too small, and the current population barely meets the previous estimates. At present, however, there are not enough African grasslands to support a wild cheetah population larger than the current population. The statements above, if true, most strongly support which of the following conclusions?(A) Previous estimates of the size of the existing wild cheetah population were inaccurate.(B) The cheetahs natural habitat is decreasing in size at a faster rate than is the size of the wild cheetah population.(C) The principal threat to the endangered wild cheetah population is neither pollution nor hunting, but a natural disaster.(D) In the short term, the wild cheetah population will be incapable of surviving a natural disaster in the African grasslands.(E) In regions where land is suitable for cheetah habitation, more natural disasters are expected to occur during the next decade than occurred during the past decade. hii! ill give brainliest pls help True or false: The Civil Rights movement of the 1960'sfloreads to other minority groups by the late 1960's and early1970's.falsetrue what might happen if the strong force didnt exist