A student solved this problem by working backward.

Jared has some flowers. He has 6 more red flowers than yellow flowers. He has twice as many orange flowers as red flowers. He has 4 yellow flowers. How many flowers does Jared have altogether?

Student's solution:
Jared has 4 yellow flowers.
He has 6 more red than yellow flowers (4 + 6 = 10).
He has twice as many orange flowers as red flowers (10 × 2 = 20).
So Jared has 4 + 10 + 20 = 34 flowers.

Use a similar strategy to solve this problem.

Kathleen has some balloons. She has 7 more silver balloons than gold balloons. She has 3 times as many bronze balloons as silver balloons. She has 5 gold balloons.

How many balloons does Kathleen have altogether

The solution of a system of equations is (3,0).

A system of linear equations is a collection of one or more linear equations involving the same variables in mathematics. The system of linear equations appears to have a solution of (3, 0).

A linear equation is one in which the variable's maximum power is always 1.  The degree of the linear equation is always equal to one.

If a system of linear equations has two equations and a graph of these two equations intersect each other at (a,b), then the point (a,b) is the solution of that system of equations.

Since, the solution of a system of equations is (3,0), therefore on a coordinate plane, 2 lines intersect at (3, 0).

Therefore, the solution of a system of equations is (3,0).

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Final answer:

The system of linear equations with a solution of (3, 0) is the one where two lines intersect at the point (3, 0) on a coordinate plane.

Explanation:

The student is asking which system of linear equations appears to have a solution of (3, 0). In the context of a coordinate plane, the solution to a system of linear equations is the point where the equations' graphs intersect. The given options describe where two lines intersect on different coordinate planes. Only the option stating 'On a coordinate plane, 2 lines intersect at (3, 0)' would represent a system where the solution is (3, 0). Therefore, the correct answer is the one where two lines intersect at the point (3, 0) on a coordinate plane.

Answer:

14.5

Step-by-step explanation:

Answer:

2 book cases

Step-by-step explanation:

If she has 1 1/4 gallons of paint then she has two (1/2) gallons and one (1/4) gallon. Each book case takes 1/2 gallon of paint and if you multiply it by 2 it equals 1 gallon. You only have 1/4 gallon left.

1 bookcase (1/2 gallon) + 1 bookcase (1/2 gallon) = 1 gallon. There is only 1/4 gallon left which is less than 1/2.

Step-by-step explanation:

When you're determining the statistical validity of your data, there are four criteria to consider. Population: The reach or total number of people to whom you want to apply the data. ... Confidence: How confident you need to be that your data is accurate. Expressed as a percentage, the typical value is 95% or 0.95.

Answer:

[tex]7.0248\sqrt{x}[/tex]

Step-by-step explanation:

We want to find the answer to the expression: [tex]\sqrt{\pi ^2*5x}[/tex]

We can easily calculate the product of the constants on the inside:

[tex]\sqrt{\pi ^2*5x}=\sqrt{49.348x}[/tex]

Now, we can split this radical into two:

[tex]\sqrt{49.348x}=\sqrt{49.348} *\sqrt{x} =7.0248\sqrt{x}[/tex]

Thus, the answer is [tex]7.0248\sqrt{x}[/tex].

Hope this helps!

Answer:

sqrt(5x) pi

Step-by-step explanation:

(pi² × 5x)^½

(pi²)^½ × (5x)^½

pi × sqrt(5x)

To find the cos(40°), you can use the trigonometric identity sin²θ + cos²θ = 1. Since 50° and 40° are close angles, you can approximate the cos(40°) as 0.6393.

To find the cos(40°), we can use the trigonometric identity

sin²θ + cos²θ = 1.

Since we know that sin(50°) = 0.77, we can square this value to find the cos²(50°):

cos²(50°) = 1 - sin²(50°) = 1 - 0.77²

Simplifying, we get cos²(50°) ≈ 0.4089. Since cosine is positive in the first and fourth quadrants, the positive square root of this value gives us the cos(50°) ≈ 0.6393.

Therefore, we can approximate the cos(40°) as 0.6393 as well, since these are close angles.

Answer:

5 grams provided for 4 calories

Step-by-step explanation:

20 grams at 4 calories per gram.

20*4=80 Calories.

Answer:

y = 2x + 1

y = 4x - 1

Step-by-step explanation:

You haven't mentioned the question so, unfortunately I can't give you the answer.

The correct answer is that the system of equations has no solution.

To determine the solution to the system of equations, we need to compare the two equations

1. [tex]\( y = 2x + 1 \)[/tex]

2. [tex]\( y = 4x - 1 \)[/tex]

For a system of equations to have a solution, both equations must be satisfied simultaneously. This means that the values of [tex]\( x \) and \( y \)[/tex] that satisfy one equation must also satisfy the other equation.

Let's analyze the equations. Both equations are in slope-intercept form, [tex]\( y = mx + b \)[/tex], where m is the slope and b  is the y-intercept.

For the first equation, the slope is 2 and the y-intercept is 1. For the second equation, the slope is 4 and the y-intercept is -1 .

Since the slopes of the two lines are different (2 for the first line and 4 for the second line), the lines are not parallel. However, the y-intercepts are different as well (1 for the first line and -1 for the second line). This means that the lines are not the same line and they will never intersect because two lines with different slopes and different y-intercepts cannot meet.

Therefore, there is no point [tex]\( (x, y) \)[/tex] that satisfies both equations simultaneously, and the system of equations has no solution. This is an example of a system of linear equations that is inconsistent.

In conclusion, the system of equations given by [tex]\( y = 2x + 1 \)[/tex] and [tex]\( y = 4x - 1 \)[/tex] has no solution because the lines represented by these equations are neither parallel nor do they intersect.

[tex]8x + 3(x + 5) - 5(x - 4) = 2 \\ 8x + 3x + 15 - 5x + 20 = 2 \\ 6x + 35 = 2[/tex]

Answer: A.

[tex]6x + 35 = 2[/tex]

Answer:

A

Step-by-step explanation:

8x + 3(x + 5) - 5(x - 4) = 2

Distribute the 3

8x  + 3*x +3*5 -5(x-4)=2

8x+3x+15 -5(x-4)=2

Distribute the -5

8x+3x+15 -5*x +-5*-4=2

8x+3x+15-5x+20=2

Combine like terms

8x+3x-5x+20+15=2

6x+35=2

So, A is the correct choice

Answer:

it is 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

replace the values.

5(6) - 6(3)

Using PEMDAS, you would do multiplication first.

30 - 18

Next, subtraction.

12

Answer:

Two sets of vertical angles are formed.

Answer:

Step-by-step explanation:is the divide by 7×10=70is

Answer:

Step-by-step explanation:

45 times 7= 315

326-315=11

125 times 2=250

250+11=261

so the answer is C. $261

The integer which represent the balance in Monique's account at the end of the week is 261.

The addition is taking two or more numbers and adding them together, that is, it is the total sum of 2 or more numbers.

Subtraction means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

According to the given question.

Amount of money Monique have initially = $326

The amount of money Monique withdrawal from her savings each day is $45.

⇒ For the seven days the withdrawal amount = 7 × $45 = $315

Also, she made two deposits of $125

So, the total amount se deposited = 2 × $125 = $250

Therefore,

The total balance in Monique's account at the end

= $326 - the amount she withdrawn + the amount she deposited

= $326 - $315 + $250

= $261

Hence, the integer which represent the balance in Monique's account at the end of the week is 261.

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Answer:

1 piece of fry

Step-by-step explanation:

Given:

You want to buy a milkshake and some fries. You look up prices for two different places.

Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries for $2.

Question asked:

At what amount of fries bought will the restaurants be the same price?

Solution;

Let at [tex]x[/tex] amount of fries bought the restaurants will be the same price.

As you want to buy a milkshake and [tex]x[/tex] fries, the equation will be:-

For Restaurant 1

[tex]4+1\times x[/tex]

For Restaurant 2

[tex]3+2\times x[/tex]

Now, at [tex]x[/tex] amount of fries bought the restaurants will be the same price.

[tex]4+x=3+2x\\ \\ By\ subtracting\ both\ sides\ by\ 3\\ \\ 4-3+x=3-3+2x\\ \\ 4-3+x=2x\\ \\ 1+x=2x\\ \\ By\ subtracting\ both\ sides\ by\ x\\ \\ 1+x-x=2x-x\\ \\ 1=x[/tex]

Therefore, at 1 piece of fry bought the restaurants will be the same price.

Answer:

First answer and last

Step-by-step explanation:

Explanation on paper

I got the first and last right

Answer:

I think the answer is (x-4)2 + y2 = 12 :) sorry if i am wrong***

Step-by-step explanation:

Answer: 5 hours

Step-by-step explanation:

1)

[tex] \frac{475}{75} = \frac{19}{3} = 6 \frac{1}{3} \\ [/tex]

2)

[tex] \frac{100}{75} = \frac{4}{3} = 1\frac{1}{3} \\ [/tex]

3)

[tex]6 \frac{1}{3} - 1 \frac{1}{3} = 5[/tex]

Answer: 5 hours

P(red & blue) = 16/21

Answer:

There is a 76% chance of either getting a blue or red marble

Step-by-step explanation:

8 + 5 + 8 = 21

There are 21 marbles in the bag

21 - 16 = 5

16/21 = 76%

Answer:

2,-2

Step-by-step explanation:

Its pretty simple, all you have to do is find opposite of y and put it.

Answer:

312 square feet

Step-by-step explanation:

Each square is 11 x 12 feet which is 132 times 2 for the front and back, which is 264 feet. Then, the triangles at the top have a height of 4 feet (15-11) and a base of 12 feet, so because there are 2 triangles, the result is 12x4=48. Then, you add 264 to 48 and all done.

Hiromi will need to buy 19 cans of paint to cover the entire front and back of the barn.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, The front and back of the barn each have an area of;

11ft x 12ft = 132 square feet.

Since Hiromi is painting the front and back, the total area to be painted is:

2 x 132 = 264 square feet

Similarly, the two sides of the barn each have an area of

11ft x 15ft = 165 square feet.

Since there are two sides, the total area of the sides to be painted is:

2 x 165 = 330 square feet

The total area to be painted is the sum of the front/back area and the side area:

264 + 330 = 594 square feet

Since each can of paint covers 32 square feet, the number of cans of paint Hiromi needs is:

594 / 32 ≈ 18.56 cans

Since, Hiromi cannot buy a fraction of a can of paint,

Hence, she will need to buy 19 cans of paint to cover the entire front and back of the barn.

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The total surface area of the cone is 7π square yards.

To find the total surface area of the cone, we need to find the lateral surface area and add it to the base area.

The lateral surface area of a cone is given by the formula πrℓ, where r is the radius and ℓ is the slant height.

In this case, the lateral surface area is 62.8 square yards and the slant height is 2 yards.

So, the lateral surface area of the cone is π(2)(2) = 4π square yards.

The base area of a cone is given by the formula πr^2, where r is the radius.

Since the slant height is given, we can use the Pythagorean theorem to find the radius. The radius is the hypotenuse of a right triangle with the slant height as one of the legs and the height of the cone as the other leg.

Using the Pythagorean theorem, we have r^2 = (2)^2 - (1)^2 = 4 - 1 = 3.

Therefore, the radius is √3 yards.

The base area of the cone is then π(√3)^2 = 3π square yards.

The total surface area of the cone is the sum of the lateral surface area and the base area, 4π + 3π = 7π square yards.

Answer: i realy cant tell but i think 6

Step-by-step explanation:

Answer:

-9<-3

Step-by-step explanation:

Since -3 is closer to 0 than -9, then -3 is the greater number.

Answer:

y=43

x=137

z=137

Step-by-step explanation:

Answer:

= 1/5

Step-by-step explanation:

We can find the slope using

m = (y2-y1)/(x2-x1)

    = (-3- -7)/(5--15)

    = (-3+7)/(5+15)

    = 4/20

    = 1/5

Answer:

The slope of the line is 1/5x.

Step-by-step explanation:

I graphed the points on the graph below. Then, I found the slope by counting the number of spots right and up from the first point to the second point.

Answer:

1,350

Step-by-step explanation:

To find Surface Area you need to area of all the sides and add them

So to find one side of the cube you do L x H

So 15 x 15 = 225

Since all the sides of the cube are the same, you don't need to figure out the area of the other sides.

225 x 6 sides = 1,350

Hope this helped

Answer:

20

Step-by-step explanation:

We need to determine what we are adding each time.

Take the 2nd term and subtract the first term

-1 - (-8)

-1 +8 = 7

We add 7 each time

To find the 5th term, add 7 to the 4th term

the 4th term is 13

13+7 = 20

Answer:

20

Step-by-step explanation:

a = -8

d = -1 - (-8) = 7

An = a + (n - 1)d

A5 = -8 + (5 - 1)(7)

A5 = -8 + 28

20

Answer:

43.13 yd squared

Step-by-step explanation:

This is a figure composed of a semicircle and a right triangle.

Triangle:

The area of a triangle is denoted by A = (1/2) * B * h, where b is the base and h is the height. Here, the base is actually also the radius of the semicircle, which is 4. The height is 9. Plug these in: A = (1/2) * 4 * 9 = 36/2 = 18 yd squared.

Semicircle:

The area of a semicircle is denoted by A = [tex](1/2)\pi r^{2}[/tex], where r is the radius. Here the radius is 4. So: A = [tex](1/2)\pi *4^{2}=8\pi[/tex] ≈ 25.13 yd squared.

Adding these up: 18 + 25.13 = 43.13 yd squared

Hope this helps!

Answer:

43.12 yd²

Step-by-step explanation:

Semicircle + triangle

½×pi×r² + ½×b×h

½(3.14)(4²) + ½(4)(9)

43.12 yd²

Question- How can you determine the best measure of center and measure of variability to use based on the shape of the distribution?

Answer- Mean and median both try to measure the "central tendency" in a data set. Summarizing center of distributions (central tendency) .

The following is the way:

To determine the best measure of center and variability based on the shape of the distribution, you must first examine the shape of the data. If the distribution is symmetric and has no outliers, the mean is generally considered the best measure of center, and the standard deviation is a suitable measure of variability. However, for skewed distributions or those with outliers, the median is a more appropriate measure of center, as it is not as affected by extreme values. In such cases, the interquartile range (IQR) is often used to describe variability, since it focuses on the middle 50% of the data, reducing the influence of outliers.

Robust vs. Non-Robust Measures: Measures of center and variability can be robust or non-robust. Robust measures, like the median and IQR, are less affected by outliers and skewed data. Non-robust measures, like the mean and standard deviation, are greatly influenced by extreme values. Therefore, in the presence of outliers or a skewed distribution, robust measures are preferred.

Chebyshev's Rule is helpful in understanding the spread of data in relation to the mean. This rule states that a certain percentage of data must lie within a set number of standard deviations from the mean, regardless of the distribution's shape. In a bell-shaped distribution, which is symmetric and normal, the mean, median, and mode coincide at the peak of the curve, and measures like the mean and standard deviation reflect the data's center and spread effectively