An artist bought twine for a project,and she traveled by bus when shopping for the twine.The total cost of her project,$17.50,included both the cost of the 5.8 yards of twine she bought and $3 in bus fares. Which of these shows the correct equation to determine the cost of the twine per yard along with the correct solution?

Answer:

Martin climbs at a rate of 20 meters per hour

Step-by-step explanation:

Martin and Alexia are rock climbing. Each person's rate stays the same for the first hour they climb.

For Martin's,

Distance = [tex]3\dfrac{1}{3}\ m=\dfrac{10}{3}\ m[/tex] in 1/6 hour

Rate is given by :

[tex]R=\dfrac{\frac{10}{3}}{\frac{1}{6}}\ m/h\\\\=\dfrac{10}{3}\times 6\\\\=20\ \text{meters/hour}[/tex]

For Alexia,

Distance = [tex]17\dfrac{1}{2}\ m=\dfrac{35}{2}\ m[/tex] in 5/6 hour

Rate is given by :

[tex]R=\dfrac{\frac{35}{2}}{\frac{5}{6}}\ m/h\\\\=\dfrac{35}{2}\times \dfrac{6}{5}\\\\=21\ \text{meters/hour}[/tex]

Hence, the correct option is (A) "Martin climbs at a rate of 20 meters per hour"

The speed of the car was 33.5 miles per hour on the road on the basis of the skid mark it leaves behind on the road.

Given that, when a driver applies the brakes, then the tires lock but the car continue to slide, and leaves a skid mark on the road. By using the length of the skid mark we can approximate the speed of the car by which it was travelling on the road. The formula which we will be using to approximate the speed = √30 × Length of the skid mark × 0.75, where the speed is measured in miles per hour and the length is measured in feet.

Length of the skid mark on the road = 50 feet

speed of the car = √30 × Length of the skid mark × 0.75

simply put the value of length of the skid mark in the above formula and solve accordingly.

=√30 × 50 × 0.75

=√1125

=33.5

∴ The speed of the car was 33.5 miles per hour when it was on the road and leave behind a 50 feet skid mark on the road.

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1. Pizza

A pizza is a circle and the area of a circle increases with the square of the radius.

A= pi r^2

you have 10pi inches in small pizza and the area is 100pi

20 pi inches in larger pizza and area is 400pi

So the area larger pizza is 5 times the area small pizza.

2. problem 5

1. Scale Up (smaller to larger)= larger figure measurement / small figure measurement.

scale up = 16/8 = 2.

the scale factor is 2.

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles

2. the area of original = 1/2 bh= 1//2 x 8 x 6 = 24

3. the area of enlarged =  24 x 2= 48.

4. Yes. To enlarge a triangle with sloping sides, it is easiest to enlarge the base and the height. The base is 2 squares long and the height is 3 squares long. Multiply these lengths by the scale factor of 2 to find the enlarged shape.

**Polygon

explain: The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor.

use the figure below and you find the polygon.

***Map

you see the video link below

https://virtualnerd.com/geometry/similarity/ratios-proportions/scale-map-distance-example

scale drawing see video below

https://virtualnerd.com/geometry/similarity/ratios-proportions/scale-drawing-definition

Answer:

1 divided by 8 = . 125.

Step-by-step explanation:

Answer:

1.8 per pound

Step-by-step explanation:

Answer:

she can buy 5

Step-by-step explanation:

Answer:

left

Step-by-step explanation:

Answer:

c. the graph moves left 18 units

Step-by-step explanation:

edge 2021

(:

Answer:

c.

Step-by-step explanation:

Answer: A C and D

Step-by-step explanation:

8:5 = 160%

16:10 = 160%

50:80 = 62.5%

48:30 = 160%

32:20 = 160%

64:35 = 185%

Glad to help!

Answer:

3/2

Step-by-step explanation:

Use the slope formula:

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

m = (5-(-4))/(2-(-4))

m = 9/6

m = 3/2

To find the answer to this question, all we need to do is use the slope formula!

Slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

(-4, -4) is [tex]x_{1} y_{1}[/tex]

and

(2,5) is [tex]x_{2} y_{2}[/tex]

Now lets plug in the points

[tex]\frac{5- (-4)}{2- (-4)}[/tex]

solve this simple subtraction problem!

5 - (-4) = 9

2 - (-4) = 6

Now we have : [tex]\frac{9}{6}[/tex]

Let's simplify since 9 and 6 both have a common factor of 3

Your final answer is...

The slope of the line passing through the points is [tex]\frac{3}{2}[/tex] !!

I hope I helped !

Answer:

1792

Step-by-step explanation:

1 day = 112 × 4

        = 448

4 days = 448 × 4

           = 1792

Answer:

Eq 1) x^2 + x - 6

Factors are : x-2(x+3)

Eq 2) 2x^2 + 4x + 0

Factor out 2x

Factors are: 2x(x+2)

Answer: 2x(to the fourth power) + 6x (to the third power) - 8x (to the second power) - 24x

Step-by-step explanation:

Answer:

i would say A

Step-by-step explanation:

The equation that can be used to represent these two elevations as solutions will be 29028 - (-1312).

From the information, highest natural point in the world is Mt. Everest with an elevation of 29,028 feet above sea level andd the lowest natural point in the world is the Dead Sea, which sits at 1,312 feet below sea level.

Therefore, the equation which depict the two elevations will be the difference between the elevations and this will be:

= 29028 - (-1312)

= 30340

The distance between them is 30340 feet.

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Answer: x = (y - b)/m

Step-by-step explanation:

y = mx + b

y - b = mx + b - b

y - b = mx

(y - b)/m = mx/m

x = (y - b)/m

Answer:

1/2

Step-by-step explanation:

Answer:

Rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]

Step-by-step explanation:

We need to rearrange the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject.

[tex]x=\frac{2w+1}{5-3w}\\x(5-3w)=2w+1\\5x-3wx=2w+1\\[/tex]

Subtract 2w on both sides

[tex]5x-3wx-2w=2w+1=2w\\5x-3wx-2w=1\\[/tex]

Subtract 5x on both sides

[tex]5x-3wx-2w-5x=1-5x\\-3wx-2w=1-5x\\[/tex]

Taking w common on left hand side

[tex]w(-3x-2)=1-5x\\[/tex]

Divide both sides by -3x-2

[tex]\frac{w(-3x-2)}{-3x-2} =\frac{1-5x}{-3x-2}\\w=\frac{1-5x}{-3x-2}[/tex]

So, rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]

Answer:

thanks for the points

Step-by-step explanation:

Answer:

  663.94

Step-by-step explanation:

Answer:

Original: -4x - 10y = -7

10y = 4x - 7

5y = 2x - 7

Answer: y = 2/5x - 7

Answer:

The slope intercept is below.

Step-by-step explanation:

y= -[tex]\frac{2}{5}[/tex]x + [tex]\frac{7}{10}[/tex]

Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

The answers are A, D, and E

Step-by-step explanation:

Hope this helps have a blessed day

Answer:

sorry I don't understand it

Answer:

really??

Step-by-step explanation:

Answer:

You can say in step 3 that the triangles are congruent by SAS.

Answer:

13 * r

Step-by-step explanation:

If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold r raffle tickets each. The expression is multiplication.

Answer:

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°.  The length of the longest side of the triangle is not known.

How many different triangles can be drawn with these dimensions? Explain your reasoning.

Step-by-step explanation:your weclome

The number of triangles that can be drawn with these dimensions will be one.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one point of 90° The length of the longest side of the triangle isn't known.

The longest side of the triangle is given as,

H² = P² + B²

H² = 12² + 5²

H² = 144 + 25

H² = 169

H = 13 cm

If the three dimensions of the triangle are known, then the number of possible triangles is only one.

The number of triangles that can be drawn with these dimensions will be one.

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For a quadratic equation, we start out seeking 2 solutions.

According to the statement

We have to find about the quadratic equation.

So, For this purpose, we know that the

Quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power

From the given information:

when we solve a quadratic equation, how many solutions should we always start out seeking.

Then

Here, we are required to search out out what number solutions to start out out seeking while solving a equation and also the condition for a quadratic graph not having zeros ( no x-intercepts).

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

And, a quadratic can haven't any zeros ( no x intercepts) if the roots of the equation are complex numbers.

A quadratic is one which has the very best degree of its variable ( usually x) to be 2.

Consequently, after we solve a quadratic, one should start out seeking two (2) solutions.

This is so because, the quantity of solutions to begin out seeking corresponds with the very best power of the experimental variable, X.

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

Therefore, where X¹ occurs in an equation, it's linear and consequently has 1 solution.

And, where X² occurs in an equation, it's quadratic and consequently has 2 solutions.

It is possible to possess a quadratic with no zeros (i.e no x-intercepts).

So, For a quadratic equation, we start out seeking 2 solutions.

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The factor of the given equation; -2x⁴-34x³-140 is (x³ + 10)(x + 7).

Factorization is the process of dividing a large number into smaller numbers that, when multiplied together, yield the original number.

Now, as per the stated question;

Quartic Equation: The general quartic equation has an analogous formula: ax⁴ + bx³ + cx² + dx + e = 0. This really refers to four different formulas, each of which yields one root of a equation.

The given quartic equation is -2x⁴-34x³-140.

Divide the complete equation by -2.

= x⁴ + 17x³ + 70

Find the factors of 0 such that on addition it given 17.

=  x⁴ + 10x³ + 7x³ + 70

Taking x common

= x(x³ + 10) + 7(x³ + 10)

Taking (x³ + 10) common,

= (x³ + 10)(x + 7)

Therefore, the factors of the given quartic equation is found as: (x³ + 10)(x + 7).

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