Mr. Blake took 10 minutes to drive 5 miles,
He claims it will take half an hour to drive 15 more miles at the same rate.

Select all the statements that are true if Mr. Blake claim is true.

1. He will travel 2 miles per minute.

2. Hw would travel 50 miles in 25 minutes.

3. He will travel 1 mile for every 2 minutes.

4. He will travel at a rate of 30 miles per hour.

5. The ratio of miles driven to minutes traveled is 1:2.

Answers

Answer 1

Answer:

The correct answer is - 3, 4, and 5.

Step-by-step explanation:

Given:

distance = 5 miles

time to cover 5 miles = 10 minutes

If his claim is true then,

additional Distance = 15 miles

total distance will be = 15+5 = 20 miles

additional time = 30 minutes

total time = 10+30 = 40 minutes

Solution:

The speed of the vehicle can be calculated by the formula:

V = d/t

where V is speed or velocity

d = distance

t = time

Putting the final or total values in formula =

V = 20/40

= 1/2 (5th statement is true)

In an hour where 60 minutes are there, 1/2 = 30 miles per hour.

Thus, 3rd and 4th statement are true.


Related Questions

A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. There are 28.3495 grams in an ounce and 2.54 centimeters in an inch. How many ounces would a 19.45 inch length of the same rope weigh

Answers

Answer: [tex]32.909\ \text{ounce}[/tex]

Step-by-step explanation:

Given

3.25 cm long segment of rope weighs [tex]61.40\ gm[/tex]

Using unitary method

1 cm of a segment measures

[tex]\dfrac{61.40}{3.25}=18.892\ gm[/tex]

[tex]1\ cm\equiv 18.892\ gm[/tex]

converting cm to inch and gm to ounce

[tex]\dfrac{1}{2.54}\ in.\equiv \dfrac{18.892}{28.3495}\ \text{ounce}\\\\1\ in.\equiv \dfrac{18.892}{28.3495}\times 2.54\ \text{ounce}\\\\1\ in.\equiv 1.692\ \text{ounce}[/tex]

for 19.45 in., weight is

[tex]\Rightarrow 19.45\ in.\equiv 1.692\times 19.45\\\\\Rightarrow 19.45\ in\equiv 32.909\ \text{ounce}[/tex]

Answer:

✅ C. 32.92 oz

i got it right⬇

please help i have an exam next week and im really stuck on this

Answers

Answer:

Area = 96 square cm

Step-by-step explanation:

Area of the figure = (2 x Area of triangles) + Area of square

[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]

Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]

The softball in the mitt is 4.9 inches in diameter. What is its volume? (Use 3.14 for )

Answers

Ur answer is 96 !!!!

Volume is a three-dimensional scalar quantity. The volume of the softball is 61.6 cubic inches.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the diameter of the softball is 4.9 inches. Since the radius is half the diameter, therefore, the radius of the softball can be written as,

Radius = Diameter

           = 4.9 inches / 2

           = 2.45 inches

Now, the volume of the softball can be written as,

Volume of the softball = (4/3) × π × r³

                                  = (4/3) × π × (2.45 inches)³

                                  = 61.6 inches³

Hence, the volume of the softball is 61.6 cubic inches.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ5

sushmila is buying Mehdi supplies

Answers

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

Find the value of x.

Answers

Answer:

Okay so

Directions: find the value of x?

122 + 68 divided by 2

x = 95 degrees

Step-by-step explanation:

Find segment ET. Please and thank you​

Answers

Answer:

x=9

Step-by-step explanation:

Use the intersecting chord theorem:

RE*ET = UE*ES

Substitute values

21 (2x+2) = 30 (x+5)

Expand:

42x+42 = 30x + 150

transpose and simplify

42x-30x = 150 - 42

12x = 108

x = 9

Question
Scientific notation is commonly used in science, technology, engineering, and math, which are known as
STEM fields. Assume there are approximately 2.6 million engineers in a country. If engineers make an
average salary of about $70,000 per year, how much income does this group generate collectively?

Write the answer in both scientific and standard notation.

Answers

Answer:

$182000000000

1.82 * 10^11

Step-by-step explanation:

Given that :

Number of engineers = 2.6 million

Average salary = $70,000

Collective income generated by group of engineers yearly :

This will be on average :

2,600,000 * 70,000 = $182000000000

In scientific notation :

$182000000000 = 182 * 1000000000

182 * 1000000000 = 182 * 10^9

182 = 1.82 * 100 = 1. 82 * 10^2

Hence,

$182000000000 = 1.82 * (10^2 * 10^9)

$182000000000 = 1.82 * 10^11

What is the answer to this question

Answers

Answer:

∠ A = 70°

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary, then

∠ A + ∠ Q = 180°

∠ A + 110° = 180° ( subtract 110° from both sides )

∠ A = 70°

PLEASE HELP I HAVE A C ALREADY I NEED TO GET THIS RIGHT PLEASE


You want to estimate the number of students in your school who support extra funding for the science club. You survey the first 13 students who arrive at a science class.


Determine whether the sample is biased or unbiased.

Answers

Answer:

BRO I HAVE THE SAME QUESTION FOR MY TEST....

ITS BIASED IM REALLLLY SURE

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP I GIVE BRAIBEST

Answers

Answer:

[tex]speed = \frac{Distance}{time}[/tex]

York Canal

Distance = 5miles

Time = 15 minutes

[tex]speed = \frac{5}{15} = \frac{1}{3} miles\ per \ minute[/tex]

Stover Lake

Same speed  , S = 1/3 miles per minute

Time = 30minute

[tex]Distance = speed \times time = \frac{1}{3}\times 30 = 10 miles[/tex]

[tex]Distance_{York} = 5 miles\\\\Distance_{Stover} = 10 miles\\\\[/tex]

Clearly, Distance travelled in York in half the distance travelled in Stover

option. 3

hey! please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

"grow or develop in a healthy or vigorous way, especially as the result of a particularly favorable environment."

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

pleaseeeeee helppppppppp

Answers

Answer:

Supplement = 4°

other angle = 176°

Step-by-step explanation:

44x + x = 180°

45x = 180°

x = 4

Since the supplement = x

and we now that x = 4

The supplement = 4°

180° - 4° = 44(4)

176°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Some red, white, and blue candies were placed in a bowl. Some contain nuts, and some do not. Suppose one of the candies were chosen randomly from all the candies in the bowl. According to the table below, if the candy is blue, what is the probability that it does not contain any nuts?

Answers

Answer:

c

sorry if I'm wrong.

ah ah ah ah ah

Answer: 40%

Step-by-step explanation:

I just did it

Find (-5) when f(x) = x^2 + 2x + 5

Answers

Answer:

Value of F(x) when x = -5 is 20

Step-by-step explanation:

Given equation;

f(x) = x² + 2x + 5

f(x) = f(-5)

Find:

Value of F(x) when x = -5

Computation:

Given function;

f(x) = x² + 2x + 5

By putting value of x in given function

f(-5) = (-5)² + 2(-5) + 5

f(-5) = (-5 x -5) + 2(-5) + 5

f(-5) = (25) - 10 + 5

f(-5) = (25) - 5

f(-5) = 20

Value of F(x) when x = -5 is 20

which expression is equivalent to 6x*3 + 3y*2 - 5x*3 + 2y*2

Answers

Answer:

3x + 10y

Step-by-step explanation:

Calculate: (6x*3)+(3y*2)-(5x*3)+(2y*2) = 18x + 6y - 15x + 4y

Collect Like Terms: 18x + 6y - 15x + 4y = 3x +10y

Solution: 3x + 10y

Find the value of x please I need help

Answers

Answer:

Step-by-step explanation:

113+90+90+12x+7=360(sum of four angles is always 360 degree)

300+12x=360

12x=360-300

x=60/12

x=5

Answer:

X = 5

Step-by-step explanation:

Shapes with 4 sides have angles that add to 360 degrees

So you have two right angles and 113 degrees.

This is

90+90+113=293

360-293=67

12x5=60

60+7=67

This means that x=5

Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x​

Answers

i pray for you i hated this section and i wish i could help you:( the app photo math helped me!

Helpppppppppppp plsssssssssssssssssssssssssss!

Answers

Answer:

<FGH and <JKL are supplementary

<AED and <BEC are complementary

Step-by-step explanation:

For supplementary angles, the sum of the pair of angles must be 180degrees

Given;

<FGH = 109degrees

<JKL = 71degrees

Taking the sum

<FGH + <JKL

= 109 + 71

= 180

Since the sum of the angles is 180, hence <FGH and <JKL are supplementary

Similarly;

Given

<AED = 45degrees

<BEC = 45degrees

Taking the sum

<AED + <BEC

= 45 + 45

=90degrees

Since the sum of complementary angles is 90degrees, hence <AED and <BEC are complementary

A hiker leaves her camp in the morning. She walks 9 miles west then 10 miles north. Explain how you would find how far she has traveled from her camp.

Answers

Answer:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])

[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.

[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

[tex]9^{2}[/tex] = 81 ( 9 x 9 )  [tex]10^{2}[/tex] = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

[tex]\sqrt{181}[/tex]

With that you should get 13.45 miles. (rounded)

A polygon has an area of 8 square units. If the polygon was enlarged with a
zoom factor of 4, what's the bigger polygon's area? *

Answers

Answer:

This will help you know what to do as an example

Step-by-step explanation:

The scale factor is 1624=23.

PsmallPlarge=2(10)+2(16)=52 units=2(15)+2(24)=78 units

The ratio of the perimeters is 5278=23.

Mark packed 1-inch cubes into a box with a volume of 96 cubic inches. How many layers of 1-inch cubes would it take to fill the box?

Answers

Answer:

4 approx.

Step-by-step explanation:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube.

let the N be the number of layers of 1-inch cubes that would it take to fill the box.

Since the larger box is also a cube

Therefore, 96 = N^3

N = (96)^(1/3)

N = 4√6

Therefore, there would be 4 layers of the 1-inch cube and some extra incomplete layer

The largest jaw breaker in a store is spherical with a radius of 2 in, and sells for $4.00. A
store wants to make a 6 in. radius jaw breaker. How much should they charge for this
foot long jaw breaker?

Answers

Answer:

$36

Step-by-step explanation:

1. Determine the surface area of the  largest jaw breaker

Surface area of a sphere = 4πr²

4 x 3.14 x 2² = 50.24in²

2. Determine the surface area of the new jaw breaker

4 x 3.14 x 6² = 452.16 in²

3. Determine the cost per area

4/ 50.24

4. Determine the price for the new jaw breaker

4/ 50.24 x 452.16 = $36

hey! please help i’ll give brainliest

Answers

Answer:

The answer is D

Step-by-step explanation:

If and Then are italicized

Which of the following choices is NOT one of the six tenses of verbs?

past participle
future perfect
future
present perfect

Answers

Answer:

past participle

Step-by-step explanation:

all of the other ones are correct

Solve please!! Please hurry this is due today!!

Answers

Answer:

X=2 and y=5

Step-by-step explanation:

5=-4+9 True

5=8-3   True

x = 2 and y = 5 !! :)

Find the range of the relation {(-8,1),(-3,-6),(-7,-5),(9,5),(-2,9)}

Answers

Answer: (11,-4)
Explanation: the range is to subtract the maximum and the minimum. The maximum is 9,5 and the minimum is -2,9

cos C(sec C - 1) = 1 - cos C

Answers

Answer:

Step-by-step explanation:

Cos(Sec - 1 ) = 1 - cosC

Cos and Sec are reciprocals which when multiplied together is 1

-1 * Cos = -Cos

SO: 1 - Cos = 1 - Cos

Hope this helps!

3. Which of the following is not equal to sin(270°)?
(1) cos(180)
(3) -sin (90)
(2) - cos(0)
(4) sin(360)

Answers

I think the answer is 90

Find the volume of the pyramid
volume
18 cm
10 cm
10 cm
options
1,800 cm
900 cm
600 cm
750 cm

Answers

[tex]_____________________________________[/tex]

ANSWER:V = 1,800 cmSOLUTION:V = l × w × hV = 18 × 10 × 10[tex]\large\boxed{\tt{\green{V = 1,800}}}[/tex]

[tex]_____________________________________[/tex]

----------❥︎XxYunaKoharuChanxX

The diameter of a foot ball is 12cm ?find itsvolume​

Answers

Answer:

288 [tex]\pi[/tex] cm³

Step-by-step explanation:

diameter = 12 cm

radius = diameter/ 2

= 12/ 2

= 6 cm

volume of a sphere = 4/ 3 × [tex]\pi[/tex] × (6)³

= 4/ 3 × [tex]\pi[/tex] × 216

= ( 864 [tex]\pi[/tex])/ 3

= 288 [tex]\pi[/tex] cm³

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