What is the value of x?



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Answer:

6.875

Step-by-step explanation:

Used a calculator to solve this one, it might be incorrect, i suggest doing some extra research on how to solve to see if you get this answer ;)

Answer:

See attachment

Step-by-step explanation:

We want to graph

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

on the interval (-2π, 2π)

First we graph

[tex]y = \cos(x)[/tex]

Then we stretch vertically by a factor of 2 and shift down 1 unit.

Since the amplitude is 2 and the graph is shifted down 1 unit, the range of the transformed graph is

[tex] - 3 \leqslant y \leqslant 1[/tex]

The graph is shown in the attachment

Answer: subtract

Step-by-step explanation: you’ll see

The smallest number of bills and coins to make up $88.98 is: 4 $20, 1 $5, 3 $1, 3 quarters, 2 dimes, 3 pennies.

The change due back to the customer is $88.98. The smallest number of bills and coins that equals this amount can be broken down as follows:

So, the smallest amount of bills and coins possible to make up $88.98 is: 4 $20, 1 $5, 3 $1, 3 quarters, 2 dimes, 3 pennies.

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Find the number y, if 3 1/3 of y is 60. y is 18

Find the number x, if 11/5 of x is 55. x is 25

Answer:

10;40

Step-by-step explanation:

Answer:

[tex]x=\frac{7}{5}[/tex]

[tex]y=-\frac{22}{5}[/tex]

Step-by-step explanation:

Given:

The given expressions are.

[tex]6x+y=4[/tex]

[tex]x-4y=19[/tex]

We need to find x and y values.

Solution:

Equation 1⇒ [tex]6x+y=4[/tex]

Equation 2⇒ [tex]x-4y=19[/tex]

First solve the equation 1 for y.

[tex]6x+y=4[/tex]

[tex]y = 4-6x[/tex] --------(3)

Substitute [tex]y = 4-6x[/tex] in equation 2.

[tex]x-4(4-6x)=19[/tex]

Simplify.

[tex]x-(4\times 4 - 4\times 6x)=19[/tex]

[tex]x-(16-24x)=19[/tex]

[tex]x-16+24x=19[/tex]

Add 16 both side of the equation.

[tex]25x-16+16=19+16[/tex]

[tex]25x=35[/tex]

[tex]x=\frac{35}{25}[/tex]

Divide Numerator and denominator by 5.

[tex]x=\frac{7}{5}[/tex]

Substitute x value in equation 3 and simplify.

[tex]y=4-6(\frac{7}{5})[/tex]

[tex]y=4-\frac{6\times 7}{5}[/tex]

[tex]y=4-\frac{42}{5}[/tex]

[tex]y=\frac{5\times 4-42}{5}[/tex]

[tex]y=\frac{20-42}{5}[/tex]

[tex]y=-\frac{22}{5}[/tex].

Therefore, the value of [tex]x=\frac{7}{5}[/tex] and [tex]y=-\frac{22}{5}[/tex].

Answer:

$ 322

Step-by-step explanation:

x = his paycheck

x - 1/2x + 55 = 216

1/2x + 55 = 216

1/2x = 216 - 55

1/2x = 161

x = 161 * 2

x = $ 322 <===

Step-by-step explanation:

There are 3 people in total, Danielle and w of her friends. Since they paid $5 each they paid $15 in total for the 50 tickets. To find the price per ticket simply divide the total paid by the amount of tickets.

Price per ticket = 15.0÷50 = $0.30

Answer: Each ticket cost 0,3$

Step-by-step:

You have to divide 15 by 50 (15/50)

In this way you get the answer really quickly.

Hope I helped you!

[tex]33\frac{1}{3}[/tex] number of messages she can send and receive so the unlimited plan is cheaper than paying for each message

Solution:

Natalie can send or receive a text message for $0.15

Natalie can get an unlimited number for $5

To find: Number of messages she can send and receive so the unlimited plan is cheaper than paying for each message

Let "x" be the number of messages

Cost for sending and receiving message = $ 0.15

Cost for unlimited plan = $ 5

Then, according to given, we frame a inequality as:

The condition is: unlimited plan is cheaper than paying for each message

Therefore,

(number of messages)(Cost for sending and receiving message) is greater than or equal to Cost for unlimited plan

[tex]x \times 0.15\geq 5\\\\0.15x\geq 5\\\\\text{Solve for "x" }\\\\\text{Divide both sides of equation by 0.15 }\\\\\frac{0.15x}{0.15}\geq \frac{5}{0.15}\\\\x\geq 33.33\\\\x\geq 33\frac{1}{3}[/tex]

Thus for [tex]33\frac{1}{3}[/tex] messages ,the unlimited plan is cheaper than paying for each message

Answer:

2 students.

Step-by-step explanation:

add together all of the students and then subtract that from 40.

20+15+3 = 38

40-38 = 2

Answer:

3 athdwnts it says

Step-by-step explanation:

Answer:

The scale 150 metres : 1 centimeters is the map using.

Step-by-step explanation:

Given:

2 fields are 1,200 meters from each other.

On a map the 2 fields are 8 centimeters apart.

Now, to find the scale map is using.

Actual distance between the 2 fields = 1200 meters.

Distance in the map between the 2 fields = 8 centimeters.

So, to get the scale map is using we find the ratio:

[tex]Actual\ distance\ between\ the\ 2 fields/ Distance\ in\ the\ map\ between\ the\ 2 fields[/tex].

[tex]=\frac{1200}{8}[/tex]

[tex]=\frac{150}{1}[/tex]

[tex]=150\ meters:1\ centimeters[/tex]

Therefore, the scale 150 metres : 1 centimeters is the map using.

Answer:

x = 54 and none of the alternatives given is correct

Step-by-step explanation:

Let's solve for x in the equation given, this way:

2/3 ÷ 3x = 12

2/3 * x/3 = 12

2x/9 = 12

2x = 108

x = 108/2 = 54

Proof of x = 54

2/3 * 54/3 = 108/9 = 12

x = 54 and none of the alternatives given is correct

Answer:

The side length of the square will be 11 cm.

Step-by-step explanation:

Tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle.

Her dog's neck has a circumference of about 32 cm. the folded bandana needs to be an extra 16 cm long so Tessa can tie it around her dog's neck.

So, the hypotenuse of the 45-45-90 triangle has a length of (32 - 16) = 16 cm.

As a 45-45-90 triangle is an isosceles right triangle with side length a cm (say), then

[tex]\sqrt{a^{2} + a^{2}} = 16[/tex]

⇒ 2a² = 16² = 256

⇒ a² = 128

⇒ a = 8√2 cm.

Therefore, the side length of the square will be 8√2 cm ≈ 11 cm. (Answer)

The side length of the square should be [tex]34cm[/tex] (to the nearest cm)

After folding the square cloth into a bandana, the diagonal has to be [tex]32cm+16cm=48cm[/tex] so that it can tie around the dog's neck.

Using Pythagoras' theorem, the relationship between the sides of the square cloth and the diagonal will be

[tex]diagonal=\sqrt{side^2+side^2}\\diagonal=side\sqrt{2}[/tex]

substituting and solving for the required side length, we get

[tex]48=side\sqrt{2}\\side=24\sqrt{2}\approx 34cm[/tex]

So, the required side length of the square is [tex]34cm[/tex] (to the nearest cm)

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Answer:

A dilation with a scale factor greater than 1 and then a translation.

Answer:

A

Step-by-step explanation:

You are correct. The scale factor is 1/5 = 0.2

Nice work.

Answer:

x = 7/4   or  x = 1.75  or  x = 1 and 3/4

they all mean the same thing but there just in different forms (decimal form, fraction form, and mixed number form)

The number of dump truck needed to clear the 40,000 cubic yards is determined as 2,667 trucks.

The rate of dump clearing is determined as follows;

R = 3000 dumps/200 truck

R = 15 dumps/truck

The number of dump truck needed to clear the 40,000 cubic yards is calculated as follows;

N = 40,000/15

N = 2,666.67 trucks

N ≅2,667 trucks

Thus, the number of dump truck needed to clear the 40,000 cubic yards is determined as 2,667 trucks.

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To clear the slide that left 40,000 cubic yards of material on the road, approximately 2,666.67 dump truck loads would be needed.

In the first scenario, a landslide resulted in 3,000 cubic yards of material obstructing the highway. This volume of material requires 200 dump truck loads for removal.

By dividing the total volume (3,000 cubic yards) by the number of loads (200), we can calculate that each dump truck load can carry 15 cubic yards of material.

3,000 / 200 = 15 cubic yards of material.

Now, applying this knowledge to the second scenario, where a landslide left 40,000 cubic yards of material on the road, we can determine the number of dump truck loads needed to clear it.

By dividing the total volume of material (40,000 cubic yards) by the volume each truck load can carry (15 cubic yards), we get the number of dump truck loads required for cleanup.

=> 40,000 / 15 = 2,666.67

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Kramer collected = 225000

Elaine collected   = 5000

Newman collected = 45000

Solution:

Given Jerry collected 45000.

Kramer collected = 5 times more than Jerry collected

                             = 45000 × 5

                             = 225000

Kramer collected = 225000

Elaine collected   = 9 times less than Jerry collected

                             = 45000 ÷ 9

                             = 5000

Elaine collected   = 5000

Newman collected = same as Jerry collected

                                = 45000

Newman collected = 45000

Hence, Kramer collected = 225000

Elaine collected   = 5000

Newman collected = 45000

Answer:

2025000 kramers collected

Step-by-step explanation:

Answer:

It’s B

Step-by-step explanation:

Final answer:

The correct statement is that if there is a definite pattern in the residual plot, the least squares regression line is not a good fit. It indicates that potentially another model might better capture the variability in the data. So the correct option is B.

Explanation:

The correct statement about the residual plot for a set of data with a linear regression equation is that if there is a definite pattern in the residual plot, it suggests that the least squares regression line is not a good fit for the data. A good fit would be indicated by residuals that are randomly scattered around the horizontal axis, with no apparent pattern. This is because the residuals, which represent the differences between the observed values and the values predicted by the regression line, should not correlate if the model is appropriate for the data set.

The correct option is B) The least squares regression line is not a good fit as there is a definite pattern in the residual plot. This indicates that the linear model may not be capturing all the variability in the data, and some other models might be more appropriate. Option A is incorrect because a definite pattern in the residuals is a sign of a poor fit. Options C and D are not correct because having the same number of points above and below the line does not necessarily mean the model is a good fit; it's the pattern in the points that matters.

Answer:

The slope is 0

Step-by-step explanation:

This is a horizontal line, and all horizontal lines have a slope of 0.

(to see why, just pick any two points, and work out the change in x over the change in y. i.e. rise/run.  Since the y coordinates are all equal to 2, the numerator will be 2 -2, meaning the fraction is 0).

The slope is 0. This is because the line is horizontal. Any horizontal line has a slope of 0. Please tell me if you understand! I hope this helps!

Answer:

the equation that contains the following 2 points is y=5x-16 which is C.

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

step 1

Find the slope of AB

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

A(5,-1), B(9, -9)

substitute the values

[tex]m=\frac{-9+1}{9-5}[/tex]

[tex]m=\frac{-8}{4}[/tex]

[tex]m=-2[/tex]

step 2

Find the slope of the line that is perpendicular to AB

we know that

If two lines are perpendicular, their their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

[tex]m_A_B=-2[/tex]

therefore

The slope of the perpendicular line is

[tex]m=\frac{1}{2}[/tex]

step 3

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=\frac{1}{2}[/tex]

[tex]C(4,-1)[/tex]

substitute

[tex]y+1=\frac{1}{2}(x-4)[/tex]

step 4

Convert to slope intercept form

Isolate the variable y

[tex]y+1=\frac{1}{2}x-2\\\\y=\frac{1}{2}x-2-1\\\\y=\frac{1}{2}x-3[/tex]

Each ounce of milk contains 20 calories, because 200/10 = 20.

Answer: 168/25

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 100

. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

168/25

Answer:168/25

Step-by-step explanation: The answer for 6.72 as a fraction in simplest form is 168/25. You can solve this using long division method. There are six 25s in 168 which is 150 and the remaining 18 can become the decimal which is 0.72. Or for simplicity, you can use a scientific calculator to evaluate the result of 168/25.

I believe it would be (5 x 600)+(5x80) = 3400

Answer:

for -3/4 it is -0.65 and for -1/2 it is -3/5

Step-by-step explanation:

Final answer:

The numbers closest to -3/4 (-0.75) and -1/2 (-0.5) on the number line are -0.65 and -0.6 (or -3/5), respectively.

Explanation:

The question involves identifying which numbers on a list are closest to -3/4 and -1/2 on the number line. To do this, we should consider converting all the fractions and decimals to a common format (decimals) to easily compare their distances to -3/4 (which is -0.75 as a decimal) and -1/2 (which is -0.5 as a decimal).

The numbers provided are:

-0.65

-1/3 (which is approximately -0.333 as a decimal)

-7/8 (which is -0.875 as a decimal)

-3/5 (which is -0.6 as a decimal)

Now, to determine which numbers are closest to -3/4 and -1/2:

For -3/4 (-0.75), the closest number is -0.65.

For -1/2 (-0.5), the closest number is -0.6 (or -3/5).

Answer:

slope = undefined

Step-by-step explanation:

for two points (x1,y1) (x2, y2)

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

so, for (-1,-10) (-1,-2)

slope = (-2 - (-10))/(-1 -(-1)) = 8/0

slope = undefined

Tom and Juanita, starting from the same point and biking in opposite directions for 3 hours, will end up 162 miles apart.

Starting from the same point, Tom and Juanita go biking in opposite directions for 3 hours. From what we know, Tom rides at a speed of 24 mph and Juanita rides at a speed of 30 mph.

When an object moves in one direction, its distance travelled is calculated from the formula distance = speed x time. This is because speed is described as the distance travelled per unit time. In this case, Tom travels 24 miles in 1 hour, so in 3 hours, he will cover 24 mph x 3 hours = 72 miles. Juanita will cover 30 mph x 3 hours = 90 miles.

Because they are moving in opposite directions, these distances add together. So in 3 hours, Tom and Juanita will be 72 miles + 90 miles = 162 miles apart.

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Tom and Juanita will be 162 miles apart after 3 hours of biking in opposite directions at their respective speeds.

To solve this problem, we can use the formula for distance, which is the product of speed and time.

Since Tom and Juanita are riding in opposite directions, their distances from the starting point will add up to the total distance between them after a certain amount of time.

The correct total distance apart should be calculated as follows:

The correct final answer is:

Answer:

Hello! I'm currently doing the test right now on e d g e n u i t y 2/28/2022 and I believe that the right answer is: m<X = 140  and m<Y = 94

Step-by-step explanation: Sorry if I'm wrong.

:)

The pair of measurements that are possible in congruent quadrilaterals are Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees.

Quadrilateral WXYZ is congruent to quadrilateral RSTQ if their corresponding angles are congruent. Let's compare the measurements of the angles in both quadrilaterals:

Therefore, the pair of measurements that are possible in congruent figures are: