Jake and Blake began their journey from the same location at the same time. Jake's rate is 50 mph and Blake's rate is 60 mph. How many hours will it take for Blake to get 70 miles ahead of Jake

Answers

Answer 1

Answer: 7 hours

Step-by-step explanation: blake is gains 10 more miles then Jake each hour so if you divide 70 by 10 you get 7.


Related Questions

how do i find the unit rate for 30 inches per 5 years

Answers

per year unit rate becomes 6 inches. This can be solved using the concept of unit rate.

What is an unit rate?

A unit rate is a price for one of anything. This is expressed as a proportion with such a base of one. For instance, you would cover 7 yards on average every second if you covered 70 yards in 10 seconds. The ratios of 70 yards in 10 seconds and 7 yards in 1 second are both rates, however, the latter is a unit rate.

A rate is the ratio of two different measurement units, whereas a unit rate seems to be the ratio of two different units of measurement for just a single object.

unit rate for 30 inches per 5 years:

= 30 inches / 5 years

= 6 inches / 1 year

Thus, per year unit rate becomes 6 inches.

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Help with this question

Its about shapes

Answers

Answer:

a

Step-by-step explanation:

triangles are pyramids and it has 6 sides

Answer:

Hexagonal prism

Step-by-step explanation:

We can rule out B and D because if it was a pyramid, there would be a triangle in the net (The net of a 3D shape is what it looks like if it is opened out flat). We can also rule on C because it it was a cylinder, there would be a circle in the net. Therefore, our remaining answer is A.

If you could buy 500 individual nerd candies for $5 or 186 g of individual nerd candies for $5, which would be the better deal

Answers

The better deal would be 500 individual nerds candy for $5.

One of the four basic mathematical operations, along with addition, subtraction, and multiplication, is division. The equal partition of bigger groupings into smaller parts is referred to as division.

The order of work assigned to and completed by the team of employees in order to optimize efficiency is known as the division of labor.

The splitting down of a job into multiple separate parts that make up the total is referred to as the division of labor. 500 individual nerds candy for $5 is preferable since you will have more candy and it will last longer.

Thus, The better deal would be 500 individual nerds' candy for $5 since you will have more candy and it will last longer.

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A car travels 196 miles in 3.5 hours. A. 224 miles in 4 hours B. 356 miles in 6 hours C. 504 miles in 9 hours D. 392 miles in 7 hours

Answers

Answer:

A and D

Step-by-step explanation:

distance = rate x time

196 = 3.5r

r = 196/3.5

r = 56 mph

A) 56 x 4 = 224   Yes

B) 56 x 6 = 336    No

C) 56 x 9 = 494    No

D) 56 x 7 = 392     Yes

work out the length of x

show working out​

Answers

Answer:

12.12

Step-by-step explanation:

the formula to find x in this case would be:

      ______

x=√14^2-7^2

x=√c^2﹣a^2=√14^2﹣7^2≈12.12436

Is the following graph proportional or non proportional?
HELPPPPPPP!!!

Answers

Answer: non proportional

can anyone help me answer this? please and thanks!

Answers

9514 1404 393

Answer:

  7/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent ratio is ...

  Tan = Opposite/Adjacent

The side opposite angle A is BC, length 7. The side adjacent to angle A is AC, length 5. Then the tangent ratio is ...

  tan(A) = BC/AC

  tan(A) = 7/5

3. ) Mary is the director of the Washington Performing Arts Center. Her employer offers a pension. Mary’s employer uses a formula to calculate the pension. Marina is planning on retiring at the end of this year after 30 years of employment. A retiring employee receives 1. 6% of his or her average salary for the last 5 years of employment multiplied by the number of years worked. Mary would receive this amount each year until her death. Her salaries for the last 5 years are $80,900; $90,200; $95,000; $99,000; and $104,000. Calculate Marina’s pension

Answers

Marina's pension amount is calculated by multiplying 1.6% of her average salary for the last 5 years by the number of years she has worked, which is 30.

1.6% x $80,900 = $1,282.40

1.6% x $90,200 = $1,444.32

1.6% x $95,000 = $1,520.00

1.6% x $99,000 = $1,584.00

1.6% x $104,000 = $1,664.00

Total = $7,604.72

Pension amount = $7,604.72 x 30 years

= $228,141.60

Marina's pension amount is determined using a formula set by her employer, the Washington Performing Arts Center. This formula takes into account her average salary for the last five years, which is $469,100, and multiplies it by 1.6%, then by the number of years she has worked for the Center, which is 30. This results in a pension amount of $228,141.60. This amount will be paid each year until her death. This pension amount is calculated based on the salaries she has earned over the past five years, which include $80,900; $90,200; $95,000; $99,000; and $104,000.

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Find the surface Area?
What’s the surface area?
Help please?

Answers

Answer:

376 cm^2

Step-by-step explanation:

SA=((8x6) x2) + ((10x8) x2) + ((6x10) x2)

SA=(48x2) + (80x2) + (60x2)

SA=96+160+120

SA=376 cm^2

For which equations does 38 make the equation true? Choose all that apply.
A. 48+□=78
B. 118−□=1
C. 118+□=418
D. 168−□=138

Answers

Answer:

There no option for the option are you sure all option were correctly states or written otherwise the answer is not there

Step-by-step explanation:

D is the right answer

select all of the partial products of 5 x 1,234

[] 20
[] 150
[] 1,000
[] 10,000

Answers

10,000 the answer ...

BRAINLIEST IF YOU CAN HELP ME!

52. 0.5(cos 100deg + I sin 100 deg ) convert to trigonometric form

PAGE 347; 52, 58, 60

Answers

Answer:

the answer us on the attatched documet

Step-by-step explanation:

can u just give me the brainliest

What is a zero degree polynomial?

Answers

Any polynomial whose coefficients are all equal to zero is said to be a zero polynomial. As a result, the zero polynomial's degree is either undefined or set to -1.

The largest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined only by its variables; coefficients are should be disregarded. The degree of a polynomial is given for an nth degree polynomial function with real coefficients and x as the variable with the largest power n, where n accepts whole integer values:  p (x) = [tex]$$p(x)=a_n x^n+a_{n-1} x^{n-1}+a_{n-2} x^{n-2}+\ldots+a_1 x^1+a_0$$[/tex]  in standard form is given as 'n'.

The largest power of a variable in a polynomial equation is the polynomial's degree. Only terms with variables are taken into consideration when calculating the degree of a polynomial function. The degree of a polynomial is determined by the variable term's maximum exponential power.

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Is the interval 0 1 Infinite?

Answers

Therefore, the interval (0, 1) must be countless and infinite. Since the interval (0, 1) is as large as R, R is also infinite.

Interval:

In mathematics, a (real) interval is a set of real numbers containing all real numbers between any two numbers in the set. For example, the set of numbers x such that 0 ≤ x ≤ 1 is an interval containing (0, 1), and all numbers in between. Other examples of intervals are the set of numbers with 0 < x < 1, the set of all real numbers, the set of non-negative real numbers, the set of positive real numbers, the empty set, and any Singleton (a set of one element).

Real intervals play an important role in integral theory. This is because real intervals are the simplest set whose "length" (or "scale" or "magnitude") is easy to define. The notion of measure can be extended to more complex sets of real numbers, leading to the Boral measure and finally the Lebesgue measure.

Intervals are central to interval arithmetic, a general numerical technique that automatically provides guaranteed bounds for any mathematical expression, even in the presence of uncertainties, mathematical approximations, and arithmetic rounding.

Open Interval:

Open intervals do not include endpoints and are indicated by parentheses.  For example, (0, 1) means greater than 0 and less than 1. This is (0, 1) = {x | 0 This interval can also be expressed as ]0, 1[ . Please refer to the following.

Closed Interval:

A closed interval is an interval that contains all boundary points and is indicated by square brackets. For example, [0, 1] means greater than or equal to 0 and less than or equal to 1.

Half- Open Interval:

A half-open interval contains only one of its endpoints and is represented by a combination of open and closed interval notation. Example: (0, 1) means greater than 0 and less than or equal to 1, [0, 1) means greater than or equal to 0 and less than 1.

Complete Question:

II. Identify the following terms described in each item. Quantitative & Quaeritated. It can be separated into different categories that are distinguished by some nonnumeric characteristics. 2. It consists of numbers representing counts or measurements. Quantitative Quantitative 3. The result from either a finite number of possible values or countable number of possible values as 0, or 1, or 2, and so on 4. The result from infinitely many possible values that can be associated with points on a continuous scale in such a way that there are no gaps or interruptions 5. It is characterized by data that consist of names, labels, or categories only. 6. It involves data that may be arranged in some order, but differences between data values either cannot be determined or are meaningless. 7. It involves meaningful amounts of differences between data. It has no true zero point or absolute zero. 8. It contains all the properties of the interval level but has true zero point or absolute zero. 9. It is a complete collection of all elements to be studied. 10. It is a branch of Mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.​

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A population of bacteria grows according to function p (t) = p. 1. 42', where t is measured in hours. If the initial population size was 1,000 cells, approximately

how long will it take the population to exceed 10,000 cells? Round your answer to the nearest tenth

Answers

The time duration for the population to exceed 10,000 is approximately 6.6 hours

What is time ?

In mathematics, time is described as a continuing and continuous series of events that take place in chronological order from the past through the present and into the future. The duration of events, the gaps between them, or even the sequencing of occurrences can all be quantified, measured, or compared using time.

the time frame that an activity, process, or state lasts or continues to exist: duration is a non-spatial continuum that is measured in terms of subsequent occurrences from the past, present, and future.

The mathematical symbol used to represent the multiplication process and its subsequent product is the multiplication sign, sometimes referred to as the times sign or the dimension sign.

t = The time duration in hours

The initial population of the cells = 1,000

Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0

∴  P(0) = 1,000 = P₀ × 1 = P₀

P₀ = 1,000

When the population is 10,000, we have;

P(t) = 10,000 = 1,000 × 1.42^t

∴ 1.42^t = 10,000/1,000 = 10

㏒(1.42^t) = ㏒(10) = 1

∴ t × ㏒(1.42) = 1

t = 1/㏒(1.42) = 6.56649071898

∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.

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Jaidyn’s family drinks a total of 10 gallons of milk every 5 weeks . How many gallons of milk does the family drink per week? How many weeks does it take the family to consume one gallon of milk?

Answers

Answer:

2 gallons of milk per week

0.35 weeks(3.5 days) to consume 1 gallon

Step-by-step explanation:

Jaidyn's family drinks 10 gallons of milk every 5 weeks, which is a ratio of

10:5

To find how many gallons of milk they drink per week, you'd have to divide 10/5

10 ÷ 5 = 2

Considering that 1 week is 7 days, it would take them 0.35 weeks to consume 1 gallon of milk, which is the same as 3 and a half days.

what is the equation of the line with a slope of -3 and passes through the point (-6,-3)

Answers

Answer:

f(x) = -3x - 21

Step-by-step explanation:

Graphed this equation and it passes through (-6, -3), also known as Point A.

Punit had 12 tomatoe. He cut each into 6 lice. He ued 4 lice of the 16 andwiche he made. How many lice were remaining?

Answers

If Punit had 12 tomatoes. He cut each into 6 lice. He used 4 lice of the 16 sandwiches he made then 68 slices were remaining.

There were 12 tomatoes and each was cut into 6 slices, giving a total of 72 slices. Here we have to multiply 6 with 12

12×6=72

Of these, 4 slices were used to make sandwiches, leaving 68 slices remaining. Here we have to subtract 4 from 72

72-4=68

Therefore, Punit had 68 slices left, or 11.33 tomatoes, after making the sandwiches. This means that Punit had 68 lice of tomato remaining after making the sandwiches.

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Can someone please help me with math.

Answers

Answer:

Answer C 2,799.159

Step-by-step explanation:

[tex]v=\pi r^{2} h[/tex]

What is the slope of the line that passes through (-3, -1) and (-5, 5) ? Fractions must be in simplest form.

Answers

Answer:

-3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-1) / - 5 - (-3)

6 / -2

= -3

Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households.

Answers

The data which is given by the historian is used to find the population, variable, parameter, sample, data, and statistic. He estimated the mean number of children per household in New York City in 1900.

Population - all of the households in New York City in 1900.

Variable - a quantity equivalent to the number of children in a randomly selected household

Parameter -  the mean number of children per household in New York City in 1900

Sample - the 200 households selected by the historian

Data - the 200 records collected by the historian

Statistic -  the mean number of children per household in the historian's sample.

Complete question:

Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households. Classify each description as one of a parameter, variable, population, sample, data, or statistic.

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Stefan sells Jin a bicycle for $151 and a helmet for $17. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?​

Answers

Answer:

a)$235.20

b) $67.20

Step-by-step explanation:

Stefan sells Jin a bicycle for $151 and a helmet for $17.

a) How much did Stefan spend originally?

Total cost for Jin = $151 + $17

= $168

The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet.

Hence,

140% of $168 = $235.20

b) How much money did he make by selling the bicycle and helmet to Jin?

This is calculated as:

$235.20 - $168

= $67.20

= ​

Find volume of cylinder


I really need an answer for this FAST so if anybody can answer id really appreciate it :)

Answers

The volume of the cylinder on the image is:

v = 36,424 in³

So the correct option is the second one.

What is the volume of the cylinder?

We know that for a cylinder of diameter D and height H, the volume is given by the formula:

V = pi*(D/2)²*H

Where pi = 3.14

Here we know that:

D = 40 inches.

H = 29 inches.

Replacing that in the formula for the volume we will get:

V = 3.14*(40 in/2)²*29 in = 36,424 in³

So the correct option is the second one.

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Wht is the missing part of 1/7 of ... 1/35

Answers

The missing part is 1/5. The complete expression is 1/7 of 1/5 is 1/35.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

We have the expression:

1/7 of (...) = 1/35

To find the missing fraction:

Let n be the number.

So,

1/7(n) = 1/35

n = 7/35

n = 1/5

Therefore, 1/5 is the missing part.

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A researcher wants to set up a hypothesis test to determine if there is a difference in the mean exam scores of students who are visual learners, versus auditory learners, versus kinesthetic learners. What would be the correct setup for the null and alternative hypotheses for this test

Answers

On solving the provided question we can say that here in null hypothesis a negative relationship; as anxiety rises less items are remembered

What is null hypothesis?

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

here,

in null hypothesis a negative relationship; as anxiety rises less items are remembered

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which statement is true about the equation 4x - 4x - 5 = -5
it has no solution
it has one solution has
two solutions
it has infinitely many solutions​

Answers

I think it has 2 solutions

Answer:

It has infinitely many solutions. The 4x's cancel themselves out and you are left with -5=-5, which is a true statement.

Step-by-step explanation:

branliest please

Suppose a theater cast has 28 actors, 8 of whom are men. Express the ratio of men to women in simplified rational form.​

Answers

Answer:11/4

Step-by-step explanation:

Total actors = 28
8 actors are men so the number of women who are actresses will be
Total actors - male actors
Female actors = 28 - 8 = 20
The ratio of men to women = 8 : 20
To simplify, decrease ratio to its simplest form. The lowest common factor of both numbers is 2. Divide both sides by 2 until it can be divided no more
8 : 20 = 4 : 10 = 2 : 5
The ratio of men to women in simplified rational form is 2 : 5

A rhombus with a perimeter of 24 units is graphed on a coordinate grid. The rhombus is dilated by a scale factor of 0.3 with the origin as the center of dilation.

If (x, y) represents the location of any point on the original rhombus, which ordered pair represents the coordinates of the corresponding point on the resulting rhombus?

A) (x, y) → (0.3x, 0.3y)

B) (x, y) → (24x, 24y)

C) (x, y) → (x ÷ 0.3, y ÷ 0.3)

D) ​​​​​​​(x, y) → (x + 0.3, y + 0.3)

Answers

Answer:

Step-by-step explanation:

It’s c

which point on the graph would best represent unemployment (underutilizing labor)?

Answers

Answer:

i think the right one is H

Someone please please help

Answers

Answer:

A. ⁵/2

Step-by-step explanation:

The slope of the line that is perpendicular to y = -⅖x + ⅘ is the negative reciprocal of the slope of y = -⅖x + ⅘ .

Slope of y = -⅖x + ⅘, is -⅖.

Negative reciprocal of -⅖ = 5/2

Therefore the slope of the line that is perpendicular to y = -⅖x + ⅘ is ⁵/2

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