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Which equation can be used to find the two numbers whose ratio is 3 to 4 and that have a sum of 35?
3x + 4x = 35
43x=35
34x=35
4x−3x=35

Answer:

13

Step-by-step explanation:

Trust me

The number of plain donuts in the box will be 6.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a box of donuts has 12 total. One-fourth of the donuts have sprinkles. Of the remaining donuts, one-third have a cherry filling. The rest are plain.

The number of plain donuts will be calculated as below:-

Number = 12 - ( 12 /4) - ( 9 / 3 )

Number = 12 - 3- 3

Number = 12 - 6

Number = 6 plain donuts

Therefore, the number of plain donuts in the box will be 6.

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Answer:Probability that the last digit is 0=0.1

Step-by-step explanation:

The likely digits for the last digits runs from 0 through 9 giving a total of 10 digits

The fore P(last digit to be 0) = 1/10 = 0.1

If the last digit of a weight measurement rounded to the nearest tenth place is equally likely to be any of the digits from 0 through 9, then the probability that the last digit is 0 is 0.1 or 10%.

The question is asking about the probability that the last digit in a weight measurement, rounded to one decimal place, is 0. Given that the last digit is equally likely to be any digits from 0 through 9, this is a basic probability problem with each outcome being equally likely.

Since there are 10 possible results (the digits 0 through 9), and we are interested in only 1 of these results (the digit 0), the probability can be calculated as 1 divided by 10. Therefore, the probability that the last digit is 0 is 0.1 or 10%.

This is a standard concept in an introductory probability course and is a fundamental idea that will be used in more complex probability problems.

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Answer: 72 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of senior tickets that were sold.

A theatre sold a total of 98 adult and senior tickets. It means that

x + y = 98

x = 98 - y - - - - - - - - - - - - -1

Adult tickets sold for 12$ each and senior tickets sold for 8$ each bringing in a total of 1,072$. This means that

12x + 8y = 1072 - - - - - - - - - - - 2

Substituting equation 1 into equation 2, it becomes

12(98 - y) + 8y = 1072

1176 - 12y + 8y = 1072

- 12y + 8y = 1072 - 1176

- 4y = - 104

y = - 104/ - 4

y = 26

Substituting y = 26 into equation 1, it becomes

x = 98 - 26 = 72

Answer: the length of the smallest side is 11 feet.

the length of the medium side is 27 feet.

the length of the longest side is 28 feet.

Step-by-step explanation:

Let x represent the length of the smallest side.

Let y represent the length of the middle side.

Let z represent the length of the longest side.

The perimeter of a triangular garden is 66 feet. This means that

x + y + z = 66 - - - - - - - - - -1

if the middle length side is 5 feet greater than twice the length of the smallest​ side, it means that

y = 2x + 5

The longest side is 5 feet less than 3 times the length of the smallest side. It means that

z = 3x - 5

Substituting y = 2x + 5 and z = 3x - 5 into equation 1, it becomes

x + 2x + 5 + 3x - 5 = 66

6x = 66

x = 66/6 = 11

y = 2x + 5 = 2 × 11 + 5

y = 27

z = 3x - 5 = 3 × 11 - 5

z = 28

The length of the three sides of the triangular garden is 11 feet, 27 feet, and 28 feet.

The perimeter of a triangle is the sum of the lengths of its three sides. Let's assume the length of the smallest side is x. According to the given information, the middle length side is 5 feet greater than twice the length of the smallest side, so it can be expressed as 2x + 5. The longest side is 5 feet less than 3 times the length of the smallest side, so it can be expressed as 3x - 5.

Now, since the perimeter of the triangle is 66 feet, we can set up the equation:

x + (2x + 5) + (3x - 5) = 66

Simplifying this equation, we get:

6x = 66

Dividing both sides by 6, we get:

x = 11

So the length of the smallest side is 11 feet. The middle length side is 2x + 5 = 2(11) + 5 = 27 feet. The longest side is 3x - 5 = 3(11) - 5 = 28 feet.

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Answer: The two options are equal after 20days of daily pay.

Step-by-step explanation:

If it cost $30 to rent a car for a day and $600 to rent the same car for a month(approximately 30days), renting daily is equal to the monthly rentage after 20 days ($30 for 20days which is $30×20 i.e $600)

According to the deduction above, the renting is cheaper daily only for the first 20 days after which the amount equals to the monthly rentage of the same car.

Answer:

20 days.

Step-by-step explanation:

Assume, 1 month = 30 days.

Options:

i. $600 per month

$600/month * 1 month/30 day

= $20 per day.

ii. $30/day.

Renting daily is equal to the monthly rent after 20 days ($30 for 20days which is $30×20 i.e $600)

That is, the renting is cheaper daily only for the first 20 days after which it is equal to the monthly rent.

Answer:

Hope this helps you.

The answer is 61, x+40+5x+14=180, so x equals 21. 5(21)+14 ends up equaling 119, so 180-119 equals 1

Answer:

Step-by-step explanation:

The total volume of cement in cubic feet to be made is 54 cu ft.

A concrete mixer is in volume proportions of 1 part cement, 2 parts water, 2 parts aggregate, and 3 parts sand. This means that the ratio of the ingredients is

1 : 2 : 2 : 3

Total ratio = 1 + 2 + 2 + 3 = 8

Therefore,

Volume of cement needed would be

1/8 × 54 = 6.75 cubic feet

Volume of water needed would be

2/8 × 54 = 13.5 cubic feet

Volume of aggregate needed would be

2/8 × 54 = 13.5 cubic feet

Volume of sand needed would be

3/8 × 54 = 20.25 cubic feet

Total amount paid by Rita is $98.79

Step-by-step explanation:

Total Amount = 89 + 9.79 = $98.79

Step-by-step explanation:

Given,

The equation y + 18 = 2( x - 1)

To write the given equation in the slope intercept form = ?

∴ The equation y + 18 = 2( x - 1)

⇒ y + 18 = 2x - 2

⇒ y  = 2x - 2 - 18

⇒ y  = 2x - 20

⇒ y  = 2x +  ( - 20)                  ..... (1)

We know that,

The equation of slope intercept form,

y = mx + c

Where, m is the sope and c is the y-intercept

∴ The slope intercept form of the given equation is: y  = 2x +  ( - 20)        

Answer:

$22.50

Step-by-step explanation:

I think the unit of the sand sold is actually in cubic inches and not square inches.

V = L*B*H

V = 2.5 * 3 * 6

V = 45 in³

If 1 in³ = $0.50

    45 = x

x = 45 * $0.50

x = $22.50

Answer:

Step-by-step explanation:

Let x represent the number of batches of soap that Lilth makes.

Let y represent the number of batches of lotion that Lilth makes.

It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that

x/3 + 7y/12 = 20

4x + 7y = 240- - - - - - - - - - -1

The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that

5x + 15y ≤ 325 - - - - - - - - -2

4x = 240 - 7y

x = (240 - 7y)/4

Substituting

5(240 - 7y)/4 + 15y ≤ 325

(1200 - 35y)/4 + 15y ≤ 325

1200 - 35y + 60y ≤ 1300

25y ≤ 1300 - 1200

25y ≤ 100

y ≤ 100/25

y ≤ 4

4x + 7 × 4 = 240

4x + 28 = 240

4x = 212

x = 212/4 = 53

Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion

Answer:

(x-300)

Step-by-step explanation:

Function Analysis

The model provided can be broken down into three parts: x is the original price of the television set before any changes were made on it. (x-300) is the price after the instant rebate was applied, and 0.07x is the sales tax (7%) charged by the state. Note this charge is applied on the original price.

Answer: (x-300) is price of the television set after the instant rebate is applied but before the tax is applied.

Answer:

Step-by-step explanation:

Distinct ways in which Barry can arrange the wooden shaped blocks is calculated from the permutation expression

4 permutation 3 =

P(n,r)=P(4,3)  =4! ÷ (4−3)! = 24

Billie's distinct ways of seeing the arrangement would be 4 permutation 2

P(n,r)=P(4,2)  =4! ÷ (4−2)! = 12

Answer:

The distinct arrangement Billie would see is P(n,r)=P(4,2)  =4! ÷ (4−2)! = 12

Step-by-step explanation:

From the question, we recall the following:

Blue = 2, red =1 green =1

The way this can be solved for which Barry can arrange the wooden shaped blocks is applying the method called permutation

So,

4 permutation 3 = P(n,r)=P(4,3)  =4! ÷ (4−3)! = 24

The ways Billie's would see  the permutation arrangement  is 4 permutation 2

With the expression given as

P(n,r)=P(4,2)  =4! ÷ (4−2)! = 12

Answer:

The French restaurant did not use cream this year, due to a menu update.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of cream used by a French restaurant last year = 92.870 ounces

Amount of cream used by the French restaurant this year = 100% less

2.  How much cream did the restaurant use this year?

The answer is zero and we calculated it this way:

92,870 - 100% (92,870) = 92,870 - 92,870 * 1 = 92,870 - 92,870 = 0

The French restaurant did not use cream this year, due to a menu update.

Answer:60%

Step-by-step explanation: i know its correct bc i got it wrong and it told me the answer

Answer:

A'(-5,3), B'(-5,5), C'(-1,5) and D'(-1,3).

Step-by-step explanation:

If a point P(h,k) is rotated counterclockwise by 90° about the origin then the image point P' will become with coordinates (-k,h).

Now, the rectangle ABCD with vertices A(3,5), B(5,5), C(5,1) and D(3,1) is rotated 90 degrees counter-clockwise around the origin and the image rectangle will be A'B'C'D' with coordinates A'(-5,3), B'(-5,5), C'(-1,5) and D'(-1,3). (Answer)

Answer:

Step-by-step explanation:

1) the figure has 2 hemispheres and 1 cylinder.

2) The formula determining the volume of a hemisphere is expressed as

Volume = 4/3πr³

Where

r represents radius of the hemisphere.

π is a constant whose value is 3.14

The formula determining the volume of a cylinder is expressed as

Volume = 4/3πr³

Where

r represents radius of the cylinder

h represents the height of the cyinder.

3) volume of hemisphere = 4/3 × 3.14 × 2³ = 33.49mm³

Height of cylinder = 10 - (2+2) =6mm

Volume of cylinder = 3.14 × 2²× 6 = 75.36mm³

4) the composite volume is

2 × 33.49 + 75.36 = 142.34mm³

Answer:

L_original = 28.8 in

H_original = 19.2 in

Step-by-step explanation:

Given:

- Length of scaled rectangle L_scale = 18 in

- width of the scaled rectangle H_scale= 12 in

- Scale factor = (5/8)

Find:

-Which method can be used to find the dimensions of the original rectangle

Solution:

- The best way to determine the original dimensions of the rectangle is by ratios. We have the scale factor as (5/8). so we can express:

                          L_scale = (5/8)*L_original

                          L_original = L_scale*(8/5)

                          L_original = 18*(8/5) = 28.8 in

                          H_scale = (5/8)*H_original

                          H_original = H_scale*(8/5)

                          H_original = 12*(8/5) = 19.2 in

- Hence, the original dimensions are:

                          L_original = 28.8 in

                          H_original = 19.2 in

Answer:

B.   [tex]18 / \frac{5}{8}= 28\frac{4}{5}[/tex] [tex]inches[/tex] [tex]and[/tex] [tex]12 /\frac{5}{8} = 19\frac{1}{5}[/tex] [tex]inches[/tex]

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The First section of the equation (2-2) cancel each other out and you are left with 5x=5x

Answer:

Yes

Step-by-step explanation:

Because In the equation we have 2-2+5x

2-2=0

So, 0+5x = 5x

Answer:

a person travel 50 ft from the bottom to the top of the escalator

Step-by-step explanation:

An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30 degree angle

The escalator forms a right angle triangle

opposite to 30 degree angle is 25 feet. to find the distance from the bottom to the top of the escalator we find the hypotenuse

let x be the hypotenuse

[tex]sin(theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(30)=\frac{25}{x}\\x sin(30)= 25\\x=\frac{25}{sin(30)} \\x=50\\[/tex]

a person travel 50 ft from the bottom to the top of the escalator

Using trigonometry, the person travels approximately 50 ft from bottom to top. So, the answer is (a) 50 ft.

To find the distance a person travels from the bottom to the top of the escalator, we can use trigonometric functions. Since the escalator rises at a 30° angle, we can use the sine function to find the vertical component of the distance traveled.

Let's denote the distance traveled from the bottom to the top of the escalator as ( d ).

We know that the vertical component of the distance traveled is [tex]\( d \cdot \sin(30°) \).[/tex]

Given that the height of the second floor is 25 ft, we have:

[tex]\[ d \cdot \sin(30°) = 25 \][/tex]

To find ( d ), divide both sides by ( sin(30°) ):

[tex]\[ d = \frac{25}{\sin(30°)} \][/tex]

Now, let's calculate:

[tex]\[ \sin(30°) \approx 0.5 \][/tex]

So:

[tex]\[ d = \frac{25}{0.5} = 50 \][/tex]

Therefore, the person travels approximately 50 ft from the bottom to the top of the escalator.

So, the correct answer is:

a) 50 ft

Answer: (54.13%, 53.83%)

Step-by-step explanation:

Confidence interval for population proportion is given by :-

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

[tex]\hat{p}[/tex] = sample proportion

n= sample size.

z* = critical z-value.

Let p be the proportion of individuals supportive of a new public works project.

As per given , we have

n= 258

[tex]\hat{p}=\dfrac{165}{258}\approx0.64[/tex]

For 99.9% confidence , significance level α= 0.001

Critical z-value for 99.9% confidence interval =[tex]z_{\alpha/2}=z_{0.001/2}=z_{0.0005}=3.29[/tex] [By z-table]

Then, the 99.9% confidence interval for the support level percentage in the entire city will be :

[tex]0.64\pm (3.29)\sqrt{\dfrac{0.64(1-0.64)}{258}}\\\\\approx 0.64\pm0.0983\\\\=(0.64-0.0983,\ 0.64+0.0983) = (0.5417,\ 0.7383= (54.13\%,\ 53.83\%)[/tex]

Hence, the 99.9% confidence interval for the support level percentage in the entire city is (54.13%, 53.83%) .

Answer:

[tex]y=x/4+30[/tex]

Step-by-step explanation:

Let x be the normal time it takes for her to commute. We know that if she was 30min late, this would had 30 min to the journey. She takes a different route, she can travel four times faster than the normal route.

Therefore the normal time of commute will be 4 times less:

[tex]y=x/4+30[/tex]

This equation states that the commute time will be four times faster and adding the 30min that she is late.

Y is equals to one fourth times x plus thirty, y = 4x + 30.

Given that,

Jorie normally leaves work at 5:00 pm, but she is leaving work 30 minutes late today.

She decides to make up time by taking the toll road instead of side streets. She can travel four times faster by taking the toll road.

We have to determine,

Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work if she leaves late.

According to the question,

Let x represent the number of minutes her normal commute takes when she leaves on time.

She was 30min late, this would had 30 min to the journey. She takes a different route, she can travel four times faster than the normal route.

Therefore,

The normal time of commute will be 4 times less,

[tex]y = 4x +30\\\\[/tex]

Hence, The commute time will be four times faster and adding the 30min that she is late.

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Answer:

It is True that all concepts rely on ratios meaning to provide a type of measurement because ratio compares one quantity to another

Step-by-step explanation:

Ratio shows how many times one quantity is to another

Answer:

it's division.

Step-by-step explanation:

Yo sup??

This question can be solved by just imagining the object formed or practically trying it out.

Therefore the correct answer to this question is option 2 ie

a cylinder with a radius of 1 unit.

Hope this helps.

Answer:

a cylinder with a radius of 1 unit

Step-by-step explanation:

Full Question

As a secondary mathematics teacher, Hernandez conducted a study that explored whether giving children recess prior to testing helped their test performance. For one of the semesters, he sends half of his classes out for 10 minutes of recess prior to testing for the other half, he provides 10 minutes of free time after the test. Which of the following best represents the design of Hernandez's study?

a. One-shot case study

b. Post-test only control group

c. Solomon four group

d. Static-group comparison

Answer:

Static-Group Comparison

Explanation:

A Static-Group Comparison describes a study that involves two non-randomly selected groups, where one groups receive the treatment, and the other does not before the test. Afterwards, a post-test examination of the score is then carried out to examine the different in performance between both groups.

Answer:

the expression that shows the number of noodles Julia uses to make 9 necklaces and 20 wreaths

  = (9 [tex]\times[/tex] n ) + (20 [tex]\times[/tex] (3/5)n) = 9n + 12n = 21n

Step-by-step explanation:

i) there are n noodles in a necklace

ii) there are 9 necklaces

iii) therefore the number of noodles used to make the nine necklaces = 9 [tex]\times[/tex] n = 9n

iv) there are 3/5 noodles in a wreath

v) there are 20 wreaths

vi) therefore the number of noodles used to make the nine necklaces

     = 20 [tex]\times[/tex] (3/5)n = 12n

vii) the expression that shows the number of noodles Julia uses to make 9 necklaces and 20 wreaths

  = (9 [tex]\times[/tex] n ) + (20 [tex]\times[/tex] (3/5)n) = 9n + 12n = 21n

Answer:

A. Increasing cash, which will increase asset turnover

C.Increase assets, which will increase asset turnover and profit margin

Step-by-step explanation:

A reduction in inventory will improve business performance by increasing the efficiency of the company..

return of equity (ROE) can be calculated by: net profit/shareholder equity.

where share holder equity can be calculated by company assets minus debts.

Therefore ROE = Net profit/ (Assets - debts)

With, this formula, it can be deduced mathematically that, increasing ROE will Increase profit gain and  increase asset turnover.

ROE help company to estimate how management is using company assets to actualize profit. Reducing inventory is a reduction in the cost of procurement of goods needed by the company. this eventually increase the cash income of the company.

Also, a reduction in company debts can drastically improve the ROE.

Answer:

She can buy at most 6 bottles of orange juice.

Step-by-step explanation:

Consider the provided information.

The recipe calls for 3 times as many bottles of lemon-lime soda as orange juice,

Let she buy x bottles of orange juice.

According to question: Lemon lime soda = 3x

Orange juice costs $3.60 per bottle and lemon-lime soda costs $1.80 per bottle. She only has $54.00

[tex]3.60x+1.80(3x)=54[/tex]

[tex]3.60x+5.4x=54[/tex]

[tex]9x=54[/tex]

[tex]x=6[/tex]

Hence, she can buy at most 6 bottles of orange juice.

Jill can buy at most 6 bottles of orange juice.

To find out how many bottles of orange juice Jill can buy, we need to determine the cost of the orange juice and the cost of the lemon-lime soda based on the given prices. Let's assume she can buy 'x' bottles of orange juice. Since the recipe calls for 3 times as many bottles of lemon-lime soda, she can buy 3x bottles of lemon-lime soda. The total cost of the orange juice and the lemon-lime soda must not exceed $54.00.

The cost of the orange juice is $3.60 per bottle, so the cost of 'x' bottles of orange juice is 3.60x dollars. The cost of the lemon-lime soda is $1.80 per bottle, so the cost of 3x bottles of lemon-lime soda is 1.80 * 3x = 5.40x dollars.

To find the maximum number of bottles of orange juice she can buy, we need to solve the inequality:

3.60x + 5.40x ≤ 54.00

Combining like terms, we have:

9.00x ≤ 54.00

Dividing both sides of the inequality by 9.00, we get:

x ≤ 6

Jill can buy at most 6 bottles of orange juice.

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Answer:

Step-by-step explanation:

Let x represent the rate of the first hiker.

if one hiker walks 1.1 mph fast than the other, it means that the rate of the second hiker would be x + 1.1

Two hikers are 33 miles apart and walking towards each other. They meet in 10 hours. This means that in 10 hours, both hikers travelled a total distance of 33 miles.

Distance = speed × time

Distance covered by the first hiker in 10 hours would be

x × 10 = 10x

Distance covered by the second hiker in 10 hours would be

10(x + 1.1) = 10x + 11

Since the total distance covered by both hikers is 33 miles, then

10x + 10x + 11 = 33

20x + 11 = 33

20x = 33 - 11 = 22

x = 22/20 = 1.1 miles per hour

The rate of the second hiker would be

1.1 + 1.1 = 2.2 miles per hour.

Answer: Outsourcing Processes

Step-by-step explanation:

The inefficient use of resources and delays in production in Ucon Inc. that needs to be resolved by hiring external agencies to perform some operations would be resolved by the adoption of outsourcing processes strategy.

It's most likely the strategy employed here because external agencies performing certain operations in a company means they are outsourced to help the company overcome certain challenges.

Answer:

Step-by-step explanation:

Factors of 24 are 1,2,3,4,6,8,12,24

Since we are looking for prices as well as quantity, these numbers must go in pairs.

1*24 = option 1

2*12 = option 2

3*8 = option 3

4*6 = option 4

Any of the above 4 pairs can suit the figures. They can even be reversed except option 1 ($1 and 24 bags but not $24 and 1 bag because the question says bags not bag).