As a science expirment Mo and Jo want to send their rocket into space. They need 1/4 cup of water and 1/6 cup of a secret component. How much is there of these two components together?

Answer:

y = 5/3x + 4

Step-by-step explanation:

First subtract 5x from both sides

-3y = -5x - 12

Then divide -3 from both sides

y = 5/3x + 4

If you need to go further

y = 1 2/3x + 4

Answer

Y=x\3

Step-by-step explanation:

Answer:

(0,5)

Step-by-step explanation:

we have

[tex]2x+3y > 12[/tex] ----> inequality A

[tex]x-y\leq 1[/tex] ----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities of the system (makes true both inequalities)

Verify each ordered pair

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B and then compare the results

case 1) (0,5)

For x=0,y=5

Inequality A

[tex]2(0)+3(5) > 12[/tex]

[tex]15 > 12[/tex] ----> is true

so

The ordered pair satisfy inequality A

Inequality B

[tex]0-5\leq 1[/tex]

[tex]-5\leq 1[/tex] ---> is true

so

The ordered pair satisfy inequality B

therefore

The ordered pair would be a solution of the system

case 2) (5,2)

For x=5,y=2

Inequality A

[tex]2(5)+3(2) > 12[/tex]

[tex]16 > 12[/tex] ----> is true

so

The ordered pair satisfy inequality A

Inequality B

[tex]5-2\leq 1[/tex]

[tex]3\leq 1[/tex] ---> is not true

so

The ordered pair not satisfy inequality B

therefore

The ordered pair is not a solution of the system

case 3) (0,4)

For x=0,y=4

Inequality A

[tex]2(0)+3(4) > 12[/tex]

[tex]12 > 12[/tex] ----> is not true

so

The ordered pair not satisfy inequality A

therefore

The ordered pair is not a solution of the system

case 4) (6,0)

For x=6,y=0

Inequality A

[tex]2(6)+3(0) > 12[/tex]

[tex]12 > 12[/tex] ----> is not true

so

The ordered pair not satisfy inequality A

therefore

The ordered pair is not a solution of the system

Answer:

d forms a proportion

Step-by-step explanation:

3x5=15,4×5=20

so they both increase protionally

therefore they are protional

The ratios that form a proportion out of the given options are: D. 3:4 and 15:20.

A proportion, in mathematics, can be defined as when two ratios are set equal to each other.

The ratios in option D is proportional, because:

3:4 = 15:20

3/4 = (3 × 5)/(4 × 5)

3/4 = 3/4

Therefore, the ratios that form a proportion out of the given options are: D. 3:4 and 15:20.

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1x + 2y = (The answer/money spent)

The total cost that Rahmi spent can be represented by an equation c = j + 2t, with 'c' representing the total cost, 'j' the price of jeans, and 't' the price of a T-shirt. Actual costs can't be determined without specific prices.

To figure out how much Rahmi spent, let's set up an equation with the unknown quantities. Let's assume the cost of one pair of jeans is represented by 'j' and the cost of one T-shirt is represented by 't'. Since Rahmi bought 1 pair of jeans and 2 T-shirts, the total cost, 'c', can be represented as:

c = j + 2t

Unfortunately, without specific prices for the jeans and the T-shirts, we cannot calculate the exact total cost. However, this equation will help Rahmi to determine the cost once the prices are known.

The Ortega family has 11/16 pound of confetti left for next year's fiesta after using 1/4 pound this year.

The Ortega family started with 15/16 pound of confetti for the celebration. They used 1/4 pound of confetti for the fiesta eggs. To find out how much confetti they have left, we need to subtract the amount used from the total amount they made.

To subtract these fractions, they need to have the same denominator. The fractions already have the same denominator here, which makes it simpler. So, we subtract 1/4 from 15/16:

Therefore, the Ortega family has 11/16 pound of confetti left for the next year's celebration.

Answer:

p = z / (x+y)

Step-by-step explanation:

хр + ур = z  (factorize p on the left side)

p(x+y) = z  (divide both sides by (x+y)  )

p = z / (x+y)

Answer:

p=z/(x+y)

Step-by-step explanation:

xp+yp=z

p(x+y)=z

p=z/(x+y)

Answer:

n*54/100

Step-by-step explanation:

it depend on your class students number. if your class number is n, n*54/100 is your answer and it must be a natural number so u must rond it. for example if n was 20 so 20*54/100 = 10.8 that must rond it to number 10. 10 is the answer.

54% as a decimal is 0.54. This is found by converting the percent (per hundred) to the fraction 54/100, and then dividing the numerator by the denominator.

To write 54% as a decimal, you need to convert the percent into a fraction and then to a decimal. The word 'percent' means 'per hundred,' so 54% can be written as 54/100. To convert this fraction to a decimal, you divide the numerator by the denominator.

Here's the conversion step by step:

Therefore, 54% as a decimal is 0.54%.. This means that 54% of the students in the class have moved at least one time, which is equivalent to 0.54 when expressed as a

Answer:

See explanation!

Step-by-step explanation:

Due to the way the question is expressed we will assume that it means to find the product of this expression (thus simplify or factor our the equation).

So let us solve as following:

[tex](3g+2)(3g-2)=0\\\\(3g)(3g)+(3g)(-2)+(2)(3g)+(2)(-2)=0\\\\9g^2-6g+6g-4=0\\\\9g^2-4=0\\9g^2=4\\\\g^2=\frac{4}{9}\\ \\g=(+/-)\sqrt{\frac{4}{9} } \\\\g=(+/-)\frac{2}{3}[/tex]

So we have factored our the expression and solve for the values of [tex]g[/tex] which since its squared, the solution can be either positive or negative. Thus

[tex]g=\frac{2}{3}\\[/tex] and [tex]g=-\frac{2}{3}[/tex]

The answer should be $290 in total.

Answer:

Step-by-step explanation:you just add 1,245 plus 955 then you divide by 5 and get 440

Answer: c. box and whisker plot

Step-by-step explanation:

the box and whisker plot shows you the median and lays out the data so you would know how spread how your numbers are

The most appropriate graph is box-and-whisker plot.

The left and right sides of the box are the lower and upper quartiles. The box covers the interquartile interval, where 50% of the data is found. The vertical line that split the box in two is the median.

Given:

A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like.

As, we know the teacher wants to know median of the scores is on the exam as well as how spread out the scores are.

To find the median from the graph the best graph is  box-and-whisker plot because it shows the quartile and median very accurate.

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Area of wooden support is 36 square inches

Solution:

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

The area of trapezoid is given as:

[tex]area = \frac{a+b}{2} \times h[/tex]

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

[tex]area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36[/tex]

Thus area of wooden support is 36 square inches

Step-by-step explanation:

Given that

Total  investment = $ 500

Let $x be invested at 7% and (500-x ) was invested at 8%

∴ The total interest after 1 year =$[tex][\frac{x\times 7\times1}{100} +\frac{(500-x)\times8\times 1}{100}][/tex]

According to problem,

[tex][\frac{x\times 7\times1}{100} +\frac{(500-x)\times8\times 1}{100}][/tex] = 38

⇔7x +4000 - 8x = 38×100

⇔ -x = 3800 - 4000

⇔x = $ 200

Therefore $(500-200)= $300 was invested at 8% rate

15 ft by 6 ft is the aswerk

15 ft by 6 ft. is the answer

The option (C) approximately normal is correct if the samples of size and equals 900 are randomly selected from the population.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have the samples of size and equals 900 are randomly selected from the population of numbers zero through nine produced by a random number generator as the population of numbers is greater than or equal to five is found for each sample.

As per the data given from the sample size 900 randomly selected.

The distribution will be approximately normal.

Thus, the option (C) approximately normal is correct if the samples of size and equals 900 are randomly selected from the population.

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Answer:

105

Step-by-step explanation:

29 more than 76 can be written as:

76 + 29, which equals 105

The point (4,60) on a graph in the context of a bicyclist traveling likely represents that the bicyclist traveled a distance of 60 units in a time of 4 units, where the exact units would depend on the graph's axes' labels.

In go math books page 131, the point (4,60) typically represents a point on a graph or chart. In the context of a bicyclist traveling, the two numbers in the point likely stand for two different values or measurements. The first number '4' could represent time elapsed (for example, 4 hours or 4 minutes) and the second number '60' could possibly represent the corresponding distance traveled by the bicyclist (for example, 60 miles or 60 meters). Therefore, the point (4,60) could mean that the bicyclist traveled a distance of 60 units in a time of 4 units. The exact meanings of '4' and '60' would depend on the labels of the x-axis and y-axis of the graph.

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The point (4,60) likely represents that after 4 units of time, the bicyclist has traveled 60 units of distance. This is typically used to interpret motion on a distance-time graph in kinematics, which is a branch of physics.

In the context of a Go Math book, the point (4,60) on a graph usually represents two distinct pieces of information about an event or a scenario. For instance, if we're considering the motion of a bicyclist, the point (4,60) might represent that after 4 units of time (such as 4 minutes or 4 hours), the bicyclist has traveled 60 units of distance (such as 60 meters or 60 miles). However, without the specific context or the content of page 131, it's challenging to determine the exact meaning of the point.

In Figure 24.7, which describes the motion of a motorist, time is on the y-axis and distance on the x-axis, which is a common convention for distance-time graphs in motion problems. Therefore, if (4,60) were a point on such a graph, 4 would likely represent the time elapsed and 60 the distance traveled.

Understanding points on these graphs helps students to visualize and interpret different aspects of motion, such as speed, displacement, and acceleration, contributing greatly to their grasp of kinematics of physics

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Answer:

31 1/3

Step-by-step explanation:

3x-10=84, given

3x=94, add 10 to both sides

x = 31 1/3, divide both by three

Answer:

3x = 84+10

3x = 94

x = 94/3

x = 31.33

Final answer:

There are 72 possible outcomes in the experiment.

Explanation:

The total number of outcomes for the experiment can be found by multiplying the number of outcomes for each event.

For the first event, rolling a six-sided number cube, there are 6 possible outcomes (numbers 1 to 6).

For the second event, flipping a coin, there are 2 possible outcomes (heads or tails).

For the third event, rolling a six-sided number cube again, there are 6 possible outcomes.

To find the total number of outcomes, multiply the number of outcomes for each event: 6 x 2 x 6 = 72.

Therefore, there are 72 possible outcomes in this experiment.

Answer:

zx would equal 19 as well

wt=4.5

wy=19

Step-by-step explanation:

this is easy speacily since i am in 8th grade lol

Answer:terminating

Step-by-step explanation:

Answer:11.128

Step-by-step explanation:

Answer:

g (x) = 2 ^ (x + 2)

Step-by-step explanation:

For this case the transformation of f (x) is given by

g (x) = 2 ^ (x + 2)

To prove it, we must verify that equality is met by replacing the ordered pairs shown in the function g (x)

For (-2,1)

g (-2) = 2 ^ ( -2 + 2)

g(-2)=1

For (-1,2)

g (-1) = 2 ^ ( -1+ 2)

g(-1)=2

For (0,4)

g (0) = 2 ^ ( 0+ 2)

g(0)=4

Answer:

Biased; conveince sample response.

Explanation:

THE HOMEROOM might have the sam intrests for the theme

The sampling method most likely to result in self-selection bias is the voluntary response sample. It involves individuals choosing to respond to the survey and may result in a biased sample as those who participate may not represent the overall opinion of the student body.

In the context of the homecoming dance committee's survey, the method that is most likely to result in self-selection bias is the voluntary response sample. This sampling method involves allowing individuals to choose to respond to the survey on their own. The bias comes from the fact that those who choose to respond may not be representative of the entire student body due to differences in interest or motivation related to the theme of the dance. For example, students with strong opinions on the theme or are more involved in the dance may be more likely to respond, leading to a self-selected and therefore potentially biased sample.

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Answer:

5 people

Step-by-step explanation:

This is a subtraction problem.

45 - 40 = 5

There are 45 people wanting to ride the carousel, but since it can hold only 40 people, 5 people will have to wait for the next ride.

This is a simple arithmetic problem. There are 45 people waiting in line and the carousel can hold 40 people. To find out how many people will need to wait for the next ride, we subtract the number of people the carousel can hold from the number of people waiting in line:

So, 5 people will need to wait for the next ride.

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Answer:

No he doesnt have enough

Step-by-step explanation:

Answer:

The correct  answer is  option A) 68.6 m

Step-by-step explanation:

Given:

The angle of elevation from the boat  = 32 degrees

Length of the cable that connects the boat and the man = 129.5 meters

To Find:

How many meters above the lake is the man to the nearest tenth of a meter = ?

Solution:

Let the  height of the man from the Lake be H.

then H can be found using the sine formula of the right tringle

where

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

In the figure below

the hypotenuse is the cable length, H is the opposite side

and angle is the angle of elevation:

The substituting the values

[tex]sin(32^{\circ}) = \frac{H}{129.5}[/tex]

[tex]H = 129.5 \times sin(32)[/tex]

[tex]H = 0.5299 \times 129.5\\[/tex]

H = 68.624

H= 68.6

Answer:

68.6m

Step-by-step explanation:

Burt can research other careers in the publishing field.

As Burt is thinking about a career in publishing he can research other careers in the publishing field. Burt can work on cutting-edge research from top academics. The articles and books Burt publish will help teach new generations of students, and may even revolution the field.

Surely, Burt's discovery will enrich the pool of literature on a given subject. Burt's findings will strengthen the arguments of others while it will refute others. It will help shed light on issues that need resolution and it will also help build theories.

If Burt will publish a lot of research on a specific topic or issue, will gain credibility and become a recognized expert in that particular field. If ever there will be government or non-government organizations who will need consultants along the area focus Burt's research on, will have an edge over others who have not published anything.

The correct answer is option C.

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Answer:

12

Step-by-step explanation:

For this case we have the following statement:

Concha is making dresses, if she has made 2/3 of 6 dresses. How many fractions of dresses does she have left to finish? How many dresses have you already made?

If Concha has made [tex]\frac {2} {3}[/tex] of 6 dresses we have:

[tex]\frac {2} {3} * 6 = \frac {6 * 2} {3} = \frac {12} {3} = 4[/tex]

So we have to:

[tex]\frac {3} {3} - \frac {2} {3} = \frac {1} {3}\\6 * \frac {1} {3} = 2[/tex]

Thus, Concha must make 2 dresses to complete all 6. This represents[tex]\frac {1} {3}.[/tex]

Answer:

Concha has made 4 dresses and must make 2 to complete the 6 dresses.

Answer:

Step-by-step explanation:

y ∞ 1/x

y = k/x

Where k is the constant of proportionality

When x = 3 and y = 5

5 = k/3

Cross multiply

k = 5×3

k = 15

The equation is y = 15/x

The given relationship Y varies inversely with X and when X is equal to 3, Y equals to 5 which leads us to the equation Y = 15/X which illustrates this inverse variation.

The given question states that Y varies inversely with X and provides us with a pair of values - X = 3, Y = 5. In mathematics, when one quantity Y varies inversely as another X, it can be represented by the equation Y = k/X where k is the constant of variation. To find k, we will substitute the given X and Y values into the equation leading to 5 = k/3. Simplifying, we find k = 5*3, that is, k equals 15. Therefore, the equation that represents this inverse variation is Y = 15/X.

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