Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours​

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

Answer:

3 * 5 ^ (n-1)

Step-by-step explanation:

3 is the first term and it multiplies by 5

The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

The standard explicit formula for  a geometric sequence is expressed as:

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the sequence of numbers 3, 15, 75, 375...

r = 15/3 = 75/15 = 5

a = 3

Substitute the given parameters into the formula to have:

[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]

Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

Learn more here: https://brainly.com/question/20548958

Answer:

Length KN = 2π/3 = 2.094

Step-by-step explanation:

Length KN = (mKN/360)2πr

Length KN = (40/360)2π3

Length KN = (1/9)6π

Length KN = 6π/9

Length KN = 2π/3 = 2.094

Answer:

The simple interest rate on the student loan is 6%.

Step-by-step explanation:

To solve for the simple interest rate, use the formula for total simple interest:

[tex]I = Prt[/tex]

[tex]I[/tex] = total interest paid

P = principal, or starting value

r = interest rate in decimal form

t = time in years

State known values

P = 12,000

t = 5

[tex]I[/tex] = 3,600

Substitute known values and isolate "r"

[tex]I = Prt[/tex]

3,600 = (12,000) (r) (5)

3,600 = (60,000) r

r = 0.06

Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.

0.06 = 6%

∴ The simple interest rate on the student loan is 6%.

Answer=6%

Step-by-step explanation:

Principal(P)=12000

Time(T)=5  yrs

Interest(I)=3600

We have,

I=PTR/100

3600=(12000*5*R)/100

3600*100=60000*R

R=360000/60000

R=6%

Answer:

6 4/5

Step-by-step explanation:

-1 3/7 • (-3 2/5)

Let's turn them both into fractions with no whole numbers to make this easier:

-10/7 • -17/5

Now we can multiply straight across much easier!

170/35 (the negatives canceled each other out)

34/5 (simplified)

6 4/5 (answer)

Hope this helps! Please mark Brainliest :)

The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)

A = 28(34) +  (1/2) 11 (28) + (1/2) (9)(34)

A = 1259

Answer: 1259 sq units

Answer:

3127

Step-by-step explanation:

YES

The volume of the given composite figure is 312π mm³

Given is a composite figure, having two solids, a cone and a hemisphere,

We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,

= 1/3 π r² h + 2/3 π r³

= 1/3 π r²[h+2r]

= 1/3 π 36[12+14]

= 312 π

Hence, the volume of the given composite figure is 312π mm³

Learn more about the volumes, click;

https://brainly.com/question/13338592

#SPJ7

Answer:

v-19

Step-by-step explanation:

Answer:

It depends on what you mean.

Step-by-step explanation:

If its to separate questions,

1-2= 1

V-18= -13

If its one whole question then

1-2 - V-18= 14

1-2 / V-18= -0.07692307692

1-2 * V-18= -13

1-2 + V-18= -12

Hope this helps! :D

Answer:

3.5

Step-by-step explanation:

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of   the positive difference between the number and the mean  divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

Answer:

C. cylinder

Step-by-step explanation:

i hope this help

Answer:

The difference between the number of expected outcomes and the number of actual outcomes = 5

Step-by-step explanation:

She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.

Probability of the counter landing on either of the two sides is exactly = (1/2)

Probability of the counter landing on the red side = (1/2)

Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)

In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)

p = (1/4)

Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials

= np = 80 × (1/4) = 20

Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25

The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5

Hope this Helps!!!

Step-by-step explanation:

answer of (ii) : perimeter = 66m

area = 272m^2

Answer:

Right

Step-by-step explanation:

Answer: the first one is x less than 468 and the second one is  and open circle at 468 and the third one is  go left

Step-by-step explanation:

it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left

Answer:

A

Step-by-step explanation:

The reason it is A is because

It goes in biggest to lowest A B C D

C and B don't follow that so we are left with A and D

In answer D   C and B are too close in percentage therefore it cannot be D

Therefore your answer is A

Hope this helped!

Answer:

70 cans

Step-by-step explanation:

1052/15=70.1333333

but you have to round down to 70

ANSWER: 70

EXPLANATION:

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

Answer:

$80.48

Attached is the image of the entry way

Step-by-step explanation:

Given that each unit length represents 1 foot.

To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.

The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft

Area of a Trapezium = 1/2 × (a+b)h

a = 4ft, b= 7ft, h = 5ft

Substituting the values;

Area of trapezoid = 1/2 × (7 + 4)x 5

Area of trapezoid = 27.5 ft^2

Area of a parallelogram = length × height

Length = 4 ft, height = 4 ft

Substituting the values;

Area of parallelogram = 4 x 4

Area of parallelogram = 16 ft^2

Total area = area of trapezium + parallelogram

Total area = 27.5 + 16 = 43.5 ft^2

Cost per square foot = $ 1.85

Total cost = cost per square foot × area

Total cost = $1.85 per square foot × 43.5ft^2

Total Cost = $80.48

Answer:

Sal will pay $ 80.48  to tile his entryway.

Step-by-step explanation:

Separate the entryway into simpler shapes: a trapezoid and a parallelogram.

Find the area of the simpler figures. Count units to find the dimensions.

Trapezoid

A =   1/ 2

h(b₁ + b₂)

A =   1/ 2

(5)(4 + 7)

A =   1/ 2

(5)(11)

A = 27.5

The area of the trapezoid is 27.5 ft  

2 .

Parallelogram

A = bh

A = 4 · 4

A = 16

The area of the parallelogram is 16 ft  

2 .

Find the area of the entryway.

A = 27.5 + 16

A = 43.5

The area of the entryway is 43.5 ft  

2 .

Calculate how much Sal will pay to tile his entryway.

Area · Cost per foot =  Total Cost

43.5 · $1.95 =  $84.83

Sal will pay $84.83 to tile his entryway.

Answer:

english plz !!!!!!!!!!

Step-by-step explanation:

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

Answer:

F

Step-by-step explanation:

Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.

Answer:

(B)

Step-by-step explanation:

The value of 9 is more than the value than 4.

Therefore,

9 > 4.

4 is not greater than 9, and nine is not less than four.

Brainilest Appreciated!

Answer:

p > 6

Step-by-step explanation:

Given

[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )

Multiply both sides by 3 to clear the fraction

p > 6

Answer:

honestly idk

Step-by-step explanation:

it may be p (1/3)

hope this is right:000

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]

Answer:

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Answer:

C

Step-by-step explanation:

A, B, and D don't make sense

Step-by-step explanation:

First we will calculate the total amount spent on each website so

Website A = 49.95 + 4.39 = 54.34

Website B = 47.68 + 6.95 = 54. 63

So website A is cheaper by €0.29

Answer:

Cover 2

Step-by-step explanation:

Answer:

Uhh x is like -4 bruh

Step-by-step explanation:

So b on edge ye

Answer:

The answer is A I JUST DID it

The cross section of the figure is Pentagon.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A plane intersects a pentagonal pyramid horizontally as shown.

Now, By the given figure,

The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.

Hence, It represent the Pentagon.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]