Mr. Austin is driving 390 miles to visit the Gateway Arch in St. Louis, Missouri. He dries at an average rate of 65 miles per hour. How much time will it take Mr. Austin to get to the arch?

Answers

Answer 1

Answer:

the time needed to get to the arch is 6 per hour

Step-by-step explanation:

The computation of the time needed to get to the arch is shown below:

As we know that

Speed = distance ÷ time

where,

Speed is 65 miles per hour

And, the distance is 390 miles

So, the time is

= 390 ÷ 65

= 6 per hour

Hence, the time needed to get to the arch is 6 per hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered  


Related Questions

Write the equation of the line fully simplified slope-intercept form. help

Answers

Answer:

y = 4x -8

Step-by-step explanation:

The y intercept is -8 so our b term for y = mx + b is 8.

The line goes up 4 y values every one x value to the right

Answer:

y = 3x - 8

Step-by-step explanation:

To write the equation of the line in slope-intercept form, or y = mx + b, we have to find the y-intercept (b) and the slope(m).

To find the y-intercept, look at the graph at find where the line intercepts the y-axis. On this graph, the line intercepts at y = -8. Now we know the value of b.

To find the slope, look at the rise over run between two points. The line goes up by 3 every time it goes over 1. this means that our slope is 3.

Now we can input the values of the slope and the y-intercept into the equation.

y = 3x - 8

I hope this helps :)

Two of the​ top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)

The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.

The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.

Answers

Answer:  A.)

The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.

Answer:

The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.

Step-by-step explanation:

There are two polygons. The larger one has three times as many sides as the smaller one.
Its angle sum is four times as big. How many sides does the smaller polygon have?

Answers

Answer:

Step-by-step explanation:

There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?

“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.

Its angle sum is four times the smaller one’s. This applies to interior angles.

A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.

A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.

So start at 9.

7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.

18 fits that description.

The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.

18÷6=3, so we have a solution. The smaller polygon can be a hexagon.

We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).

So the 30-gon:

28×180=5040

5040÷4=1260

1260÷180=7

7+2=9

9×3=27

Off by 3.

The 42-gon:

((((((42–2)×180)÷4)÷180)+2)×3)=36

Off by 6. It will keep getting farther away, so we have a unique solution.

If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?
12
11
2

Answers

2x+1=5
2x=4
x=2
Answer is 2

Answer:

x = 2 .

Step-by-step explanation:

Given  : If h(x) = 5 for the function h(x) = 2x + 1, .

To find : what is the value of x?  

Solution : We have given

h(x) = 5 for the function h(x) = 2x + 1,

Now plug the h(x) = 5.

2x + 1 = 5 .

On subtracting both sides by 1

2x  = 5 -1 .

2x = 4

On dividing both sides by 2 .

x = 2 .

Therefore, x = 2 .

Plz mark brainliest

there is a 30% sale today. what would the shoes that normally cost $125 now cost?

Answers

Answer:

$37.50

Step-by-step explanation:

$125 times30%=$37.50

Identify the slope and y-intercept of the line for each equation.
7. y = -5x-3/4
8. y = 1/4x+5​

Answers

Answer:

7. Slope = -5

Y-intercept = -3/4

8. Slope = 1/4

Y-intercept = 5

Step-by-step explanation:

y = mx + b

Slope = m

Y-intercept = b

what is 5% of 69.9 plz help me out like if your grade was a 69.9 what will 5% bring down the 69.9 to

Answers

Answer: 69.9 - 5 = 64.9

Step-by-step explanation:

Have an awesome day :D

Which of these representations could model the same relationship? Select ALL that apply

Answers

Answers:

*Top left chart*y=2x-1*Bottom left graph*Store is having a sale. every item is $2 and you get $1 off your total

I hope this helps and good luck!

Answer:

The one where it says a store is having....etc and the one below that where it puts a red dot evry 2 times

Step-by-step explanation:

A parallelogram has an area of 240 square inches and a height of 12 inches. What is the measurement of the base?

Answers

I hope it is helpful for you .....

what will you get when you round the number 90 in tens and hundreds

Answers

Answer:

00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

I think it's 100

Step-by-step explanation:

90 rounded to nearest ten is 90, and 90 rounded to the nearest hundred is 100

Find the sum of of a series, I’ll give brainliest if you got the correct answers :)

Answers

Dhejdndkdkdosobdldndkdiro

Find the slope of the line that contains (1, 6) and (10.-9).

Answers

Answer:

-5/3

Step-by-step explanation:

m=−9−6/10−1

m=−15/9

Slope=

−15/9=−5/3

What is the surface area of the pyramid

Answers

Answer:

9in squared

Step-by-step explanation:

Consider the scale drawing and actual drawing of an office.
A smaller rectangle has a length of 2.5 inches and width of 1.5 inches. A larger rectangle has a length of 5 yards and width of 3 yards.

Compare the scale drawing to the actual drawing. What information is needed to find the area?

1. The scale factor is
.
2. The area of the scale drawing is
.
3. To find the area of the actual drawing, multiply the area of the scale drawing by the

of the scale factor.

Answers

a)Scale factor is 72.

b)The area of the scale drawing is 3.75 square inches.

c)To find the area of the actual drawing, multiply the area of the scale drawing by 5184.

Length of the smaller rectangle =2.5inches

Width of the smaller rectangle = 1.5inches

So, the area of the smaller rectangle = 2.5*1.5 = 3.75 square inches.

Length of larger rectangle = 5 yards

Width of larger rectangle =3 yards

So, the area of the larger rectangle = 15 square yards = 15*36*36 = 19440 inches.

What is the scale factor?

The scale factor is the factor by which the dimension of an object is enlarged.

a)Scale factor = dimension of the larger rectangle/ corresponding dimension of the smaller rectangle

Scale factor = 5 yards/ 2.5 inches

as we know that 5 yards equals 180 inches

So, scale factor = 180/2.5 = 72

b)The area of the scale drawing = 3.75 square inches.

c)Area of actual drawing/ area of scale drawing = 19440/3.75 = 5184

So, to find the area of the actual drawing, multiply the area of the scale drawing by 5184.

therefore, a)Scale factor is 72

b)The area of the scale drawing is 3.75 square inches.

c)To find the area of the actual drawing, multiply the area of the scale drawing by 5184.

To get more about scale factor visit:

https://brainly.com/question/25722260

Answer:

(A) 2

(B) 3.75

(C) square

Step-by-step explanation:

Got it right edge 2022

Help me ASAP please!

Answers

Answer:

∠1 and ∠3

∠6 and ∠8

∠5 and ∠7

Circle A has a diameter of 9 cm. Circle B has a radius of 5 cm. Which circle has the larger circumference? About how many centimeters larger is it?

Answers

Answer:

ummm it gave me 31.42

Step-by-step explanation:

hope this helpss

Write an expression for the sequence of operations described below. add b to a, then multiply 9 by the result Do not simplify any part of the expression.

Answers

Answer:

9a+9b

Step-by-step explanation:

Add b to a and multiply 9 by the result without simplifying any part of the expression.

Not simplifying an expression in algebra means not organizing or grouping like terms in the algebraic expression in such a way as to make it more understandable. It is not required in this case. Hence,

We add b to a

=a+b

We multiply 9 by the result

=9 * a+b

=9(a+b)

= 9a+9b

PLEASE HELP !!! It’s not math

Answers

Answer:

euphemism

1. c

2. a

3. b

dysphemism

1. c

2. a

3. b

Step-by-step explanation:

Answer:

euphemism

1.c

2.a

3.b

dysphemism

1.c

2.a

3.b

Step-by-step explanation:

Please Help! Thank you in advance!!

Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

Possible answers:
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation

Answers

Answer:

a dilation with a scale factor less than 1 and then a translation

Pls help show work please

Answers

Each bracelet is $5, this can be represented as 5b. (Where b is number of bracelets)

Each necklace is $8, this can be represented as 8n. (Where n is number of necklaces)

We know that the total money raised needs to be at least $100, but it can also be more than that.

So we know that 8n+5b will be greater than or equal too 100.

8n+5b ≥ 100

can someone please help me with a proof for this. you can use HL thereom, ASA, SSS, etc.
please write it as statements and reason like;
1. KL=NM 1. Given

Answers

Answer:

ΔKML and ΔNML have:

+)ML is a common edge

+) KL = NM

+)KL⊥ML, NM⊥ML => ∠KLM = ∠NML = 90°

=> ΔKML ≅ ΔNML (SAS)

Step-by-step explanation:

The base of an isosceles triangle is a third as long as the two equal sides (each, not
combined). Write the perimeter of the triangle as a function of the length of the base.

Answers

Answer:

The perimeter is 7b

Step-by-step explanation:

An isosceles triangle has exactly two sides of the same length. Suppose we have an isosceles triangle with the base as the unequal side length of b.

The perimeter of the triangle is:

P = x + x + b = 2x + b

Being x the two equal side lengths.

It's given the base b of the triangle is one-third of any of the other sides, that is:

b = 1/3 x

Or, equivalently:

x = 3b

Thus, the perimeter of the triangle is:

P = 2x + b =  = 2(3b) + b

P = 6b + b = 7b

The perimeter is 7b

A 20 inch long piece of rope is approximately 0.5 meters long. What is the length, in inches, of a rope that is 2.5 meters long, rounded to the nearest tenth?

Answers

Answer:

100 inches (using the given data)

98.43 (using exact numbers)

Step-by-step explanation:

1 inch = 2.54 centimeters

20 inches = 50.8 centimeters, but for the purpose of answering this question we will assume that 20 inches = 0.5 meters (instead of 0.58).

we must solve the following equation:

20 inches / 0.5 meters = X inches / 2.5 meters

(2.5  meters x 20 inches) / 0.5 meters = X inches

20 inches x 5 = X inches

100 inches = X inches

if we do the exact calculation, 2.5 meters in inches = 250 centimeters / 2.54 centimeters per inch = 98.43 inches

The ratio of cats and dogs is 6:13. If there are a total 117 dogs, how many cats are there

Answers

Answer:

496

Step-by-step explanation:

I think

To ride a roller coaster, a visitor must not be less than 50 inches tall.
Use h to represent the height (in inches) of a visitor able to ride.

Answers

This information is telling us that a visitor must be equal to or taller than 50in.

We can represent this with an inequality symbol.

We will use H to represent the height of the visitor.

H ≥ 50

All this means is that height of visitors must be equal to or more than 50.

A balalaika is a Russian stringed instrument. Show that the triangular parts of the two balalaikas are congruent for x = 6.

Answers

*the diagram of the Russian stringed instrument is attached below.

Answer/Step-by-step explanation:

To show that the traingular parts of the two balalaikas instruments are congruent, substitute x = 6, to find the missing measurements that is given in both ∆s.

Parts of the first ∆:

WY = (2x - 2) in = 2(6) - 2 = 12 - 2 = 10 in

m<Y = 9x = 9(6) = 54°.

XY = 12 in

Parts of the second ∆:

m<F = 72°

HG = (x + 6) in = 6 + 6 = 12 in

HF = 10 in

m<G = 54°

m<H = 180 - (72° + 54°)

m<H = 180 - 126

m<H = 54°

From the information we have, let's match the parts that are congruent to each other in both ∆s:

WY ≅ FH (both are 10 in)

XY ≅ GH (both are 12 in)

<Y ≅ <G (both are 54°)

Thus, since two sides (WY and XY) and an included angle (<Y) of ∆WXY is congruent to two corresponding sides (FH and GH) and an included angle (<G) in ∆FGH, therefore, ∆WXY ≅ ∆FGH by the Side-Angle-Side (SAS) Congruence Theorem.

This is enough proof to show that the triangular parts of the two balalaikas are congruent for x = 6.

15 mm 8 mm What is the length of the hypotenuse? c= millimeters?​

Answers

Answer:

C= 17mm

Step-by-step explanation:

Ok I need help: 1/3^3 and 2/5^4 (exponents)please help I need answers

Answers

Answer:

[tex]\frac{1}{27}[/tex] and [tex]\frac{16}{625}[/tex]... or [tex]\frac{1}{27}[/tex] and [tex]\frac{2}{625}[/tex]... read below!

Step-by-step explanation:

The first set of answers ([tex]\frac{1}{27}[/tex] and [tex]\frac{16}{625}[/tex]) were assuming that the problem was [tex](\frac{1}{3})^3[/tex] and [tex](\frac{2}{5})^4[/tex].

The second set of answers ( [tex]\frac{1}{27}[/tex] and [tex]\frac{2}{625}[/tex]) were assuming that the problem was [tex]\frac{1}{3^3}[/tex] and [tex]\frac{2}{5^4}[/tex] .

Please be clear in your notation next time!

Can you please tell me which one it is?? its okay if not

Answers

Answer:

estimate

Step-by-step explanation:

BRAINLIEST PLSSSSSSS PSLPSLSSLSSS

Answer:

estimate

Step-by-step explanation:

because when we estimate it will give us a value close to the exact value.

What type of solution is "one solution, no solution, infinite solution"?Explain.​

Answers

a=14 one solution

47=94 no solution

12=12 inifinate many solution's

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