Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector's house to bike home. He can bike the 8
miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch
up. He can ride to Darnell's house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell
before he gets home?
a. Write the linear equation that represents Darnell's constant speed.



i need this ASAP

As all the exponents of x are whole numbers, the expression 4x² – 3x + 7 is a polynomial in one variable.

The exponent of a number shows how many times the original value of the number has been multiplied. For example, the number 34 indicates that we have multiplied three by four. 3 × 3 × 3 × 3 × 3 is its expanded form. Exponent is another term for a number's power. It might be a decimal, a fraction, a negative number, or a whole number.

Exponents are important because without them, writing the product when a number was repeated many times on its own would be very difficult. For example, it is much easier to write 57 than it is to write 5 × 5 × 5 × 5 × 5.

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Answer: if its 87% then its 0.87, but if its 87 then its 87.00

Step-by-step explanation: I'm doing these questions for a challenge :D

Answer:

C

Step-by-step explanation:

A = Base x height

Base = 15

height = 4

= 60  square meter

Answer:

it is c because all I did was algarithims so yes it would be c

Therefore , the solution of the given problem of linear equation comes out to be  1200 = 400x.

A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given:

300 feet per minute

where x is the number of minutes,

The Y is 1200.

Thus,

Taking account of all the above information

We get,

This will give us an equation of 1200 = 400x

Therefore , the solution of the given problem of linear equation comes out to be  1200 = 400x.

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Answer:

Step-by-step explanation:

The solution is the point where the 2 lines intersect.

If they intersect where x = 1 and y = 2 the solution is (1, 2).

Answer:

Surface Area = 2(22 x 15) + 2(12 x 15) + 2(22 x 12)

Surface Area = 660 + 360 + 528

Surface Area = 1,548 inches²

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. 2x = -6

    x = -3

 3 + y = 5

   y = 2

(-3, 2)

-9 - 2 = -11

 -11 = -11

3 + 2 = 5

5 = 5

B. 4x + 2y = 1

    6x + 4y = 1

-8x - 4y = -2

 6x + 4y = 1

-2x = -1

x = 1/2

4(1/2) + 2y = 1

2 + 2y = 1

2y = -1

y = -1/2

-2(-1/2) + 3 = 4(1/2) + 2

1 + 3 = 2 + 2

4 = 4

6(1/2) + 4(-1/2) = 1

3 - 2 = 1

1 = 1

C.

-x + 32y = -25

4x + 8y = 100

-4x + 128y = -100

136y = 0

y = 0

-x = -25

x = 25

(25, 0)

32(0) - 25= -25

-25= -25

5(25) = 100 + 25 - 8(0)

125 = 125

D.

3x + 2y = 6

4x + 5y = -20

-12x - 8y = -24

12x + 15y = -60

7y = -84

y = -12

2(-12) + 3x = 6

-24 + 3x = 6

3x = 30

x = 10

(10, -12)

2(-12) + 3(10) = 6

-24 + 30 = 6

6 = 6

4(10) + 5(-12) + 20 = 0

40 - 60 + 20 = 0

 -20 + 20 = 0

0 = 0

[tex] : \implies \sf 9x + 3 = - 33[/tex]

[tex] : \implies \sf 9x = - 33 - 3[/tex]

[tex] : \implies \sf 9x = - 36[/tex]

[tex] : \implies \sf x = \dfrac{ - 36}{9} = - 4[/tex]

[tex] \therefore \sf x = -4 [/tex]

Answer:

Step-by-step explanation:

Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?

Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm

The sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.

To find the length of d, we have to find the length of E.

Using sine rule;

f / sin F = e / sin E

5 / sin 75 = e / sin 79

e = 5sin79 / sin 75

e = 5.7cm

To find the length of d, we have to find the angle D by using the sum of angle theorem.

m∠ E + m∠ F + m∠ D = 180°

79 + 75 + m∠ D = 180

m∠ D = 180 - 154

m∠ D = 26°

Using cosine rule

d² = e² + f² - 2efCosD

d² = 5.7² + 5² - 2(5.7)(5)cos26

d² = 20.615598

d = √20.615598

d = 4.5cm

The length of side d is 4.5cm

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Answer:

11270 cm2

Step-by-step explanation:

A = 2(wl+hl+hw)

   = 2(47•59+27•59+27•47)

   = 11270

Answer:

3x+12

Step-by-step explanation:

3*x = 3x

3*4 = 12

Answer:

3x+12

Step-by-step explanation:

3(x) + 3(4)

So then, the answer is 3x + 12

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Answer:

Step-by-step explanation:

Given,

5x– 4у + 3y+8y – 7х

[Bringing like terms together]

= 5x - 7x - 4y + 3y + 8y

[Adding and subtracting the like terms]

= - 2x + 7y (Ans)

The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.

Therefore the answer is D) The starting balance of the savings account.

The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:

A = P(1 + r)^(t)

Where:

A is the final amount (principal + interest)

P is the principal (initial) amount

r is the annual interest rate (expressed as a decimal)

t is the number of years the money is invested or borrowed

The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.

So 10 represents the principal (initial) amount

0.014 represents the annual interest rate (expressed as a decimal)

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Answer:

X:6.7

Y:17

Z:33

Step-by-step explanation:

Because their similar to each other, the corresponding angles are equal.

5y-3=82

5y=85

y=17

Angle J=angle M=z=180-82-65=33

3x-2=18.1

3x=20.1

x=6.7

Answer:

x = 6.7

y = 17

z = 33°

Step-by-step explanation:

To find x:

Because IJK≅LMN, you know that 3x-2 = 18.1

3x-2 = 18.1

Add 2 to both sides:

3x-2+2 = 18.1+2

3x = 20.1

Divide both sides by 3:

3x/3 = 20.1/3

x = 6.7

To find y:

5y-3 = 82

Add 3 to both sides:

5y-3+3 = 82+3

5y = 85

Divide both sides by 5:

5y/5 = 85/5

y = 17

To find z:

Because all triangles angles must add up to 180, find 180-82-65:

180-82-65 = 33 degrees

Because IJK≅LMN, z = 33 degrees

The Construction is shown below.

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

a) Steps for perpendicular line:

b) Perpendicular Bisector for triangle

So, if we extend the bisector they can meet inside, at center and outside the triangle.

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Answer:

g(- 8) = 20

Step-by-step explanation:

substitute x = - 8 into g(x) , that is

g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20

Answer:

537474447474 75262293

Answer: f(x)

Step-by-step explanation: Part A:Its dividing by 4 each time

Answer: The formula for the surface area of a cone is S = π * r * s + π * r², where r is the radius of the base and s is the slant height of the cone.

To find the surface area of a cone, you first need to find the radius of the base. Since the base diameter is given as 7cm, you can divide this by 2 to find the radius of the base:

r = 7cm / 2 = 3.5cm

Next, you need to find the slant height of the cone. You can use the Pythagorean theorem to do this.

slant height = sqrt(r^2 + h^2) = sqrt(3.5² + 8²) = sqrt(12.25 + 64) = sqrt(76.25) = 8.766cm

Now you can substitute these values into the formula for the surface area of a cone and find the surface area of the cone.

S = π * r * s + π * r² = π * 3.5cm * 8.766cm + π * 3.5² cm² = 12.571 cm² + 38.485 cm² = 51.056 cm²

So the surface area of a cone with a base diameter of 7cm and height of 8cm is 51.056 cm²

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Answer:

2n^2-8n-24

Step-by-step explanation:

Uhm i just did this one with one of my classmates like 2-3 months ago so it just came to mind.

Hope this helped tho! :)

Answer:

Wouldn't it be 68,844? Because 12 divided by 3 = 4 and 17,211 x 4 is 68,844. I could be wrong but im sure that im right?

Answer in explanation:

I went over it and your answer seems correct, but the problem says 'how much money, in dollars'

There are 12 months in a year

3 x 4 = 12

17,211 x 4 = 68,844

you wrote 67.844 so possibly changing to a comma would help!

I hope this helps!

The correct expression to represent the similarity of these two triangles is,

21/35 = x/30.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two triangles are similar if the ratio of their corresponding sides is equal.

Therefore, The correct way to represent the similarity is,

21/35 = x/30.

We can solve for x here,

35x = 21×30.

5x = 3×30.

x = 3×6.

x = 18.

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By using the table, each of the items in the lists should be matched as follows:

In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.

Based on the information provided in the table, we can reasonably infer and logically deduce that the variable x represent pounds of butterscotch candy while the variable y represent pounds of peppermint candy.

Additionally, a system of equations that models the information provided in the table is given by;

x + y = 10.                      

2.15x + 2.35y = 22.00.

In conclusion, the total quantity of candies in pounds (lbs.) is equal to 10.

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The total surface area of a cone which has a base diameter of 7 cm and height of 8 cm is  126.5 cm ²

The total surface area of a cone can be found by the formula :

= (π x radius ²) + (π x radius x height )

Radius is half of diameter so :

= 7 / 2

= 3. 5 cm

The total surface area of the cone is;
= ( π x 3. 5 ²) + ( π x 3. 5 x  8)

= 38 . 5 + 88

= 126.5 cm ²

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Answer:

28.8 thats what i got

Step-by-step explanation

The longest angle is the straight line, or 180 degrees. To find it, draw two lines so that they form a straight line. Then measure the angle between the two lines using a protractor.

Angle is a figure formed by two lines or rays intersecting each other. It is measured in degrees, and is generally represented by the symbol ∠. The lines or rays that form the angle can be extended indefinitely, and the angle can be either acute, obtuse, right, reflex, or full. An acute angle is one that is less than 90°, an obtuse angle is one that is greater than 90°, a right angle is one that is exactly 90°, a reflex angle is one that is greater than 180°, and a full angle is one that is 360°.

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Answer:

100% -> 6.50

100 - 25 = 75

75% -> 6.50/100 x 75

            = 4.875

            ≈ 4.88    

Answer:

$4.875 or if rounded $4.88

Step-by-step explanation:

Hope this helped

also u just have to subtract 6.50 by 25%