One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the same time, how fast was the first car driving?
a. 90 mph
b. 80 mph
c. 50 mph
d. 60 mph

Answers

Answer 1
The answer is D because car 1 drove 20 mph faster than car 2. If car 1 drove at 60 mph for 4 hours it reaches 240 miles. Car 2 at 40 mph would travel 160 in 4 hours.
Answer 2

Answer:

d.

Step-by-step explanation:


Related Questions

Blue's Berry Farm charges Percy a total of $24.75 for entrance and 2.5 kilograms of strawberries. The entrance fee is $6, and the price for each kilogram of strawberries is constant.

Answers

Answer:

$7.50 if the question is how much in a kilogram of strawberries you did not specify.

Step-by-step explanation:

24.75-6=2.5*x

18.75=2.5*x

7.5=x

Answer:

7.5 for 1 kg of strawberries

Step-by-step explanation:

I'm not sure what to solve, but I assumed that you wanted to know the unit price.

Kendrick is planting a circular flower garden with a low fence around the border. He has 38 feet of fence. What is the radius of the largest garden he can make?

Answers

Answer: [tex]6.04\ ft[/tex]

Step-by-step explanation:

Given

The fence has a length of 38 ft i.e. it is the circumference of the circular flower

The circumference of the circle is [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pir=38\\\\\Rightarrow 2\times \dfrac{22}{7}\times r=38\\\\\Rightarrow r=\dfrac{38\times 7}{2\times 22}\\\\\Rightarrow r=\dfrac{266}{44}\\\\\Rightarrow r=6.04\ ft[/tex]

The largest radius of the garden is  [tex]6.04\ ft[/tex]

Solve the proportion below. 7/x = 19/114 x=____
A. 8
B. 4
C. 28
D. 24

Answers

i hope you find the answer your looking for friend

PLEASE HELP?

Rewrite the function in factored form (show your work)

Standard form for the function is:
p(x)=-5x^+120x-315
​​

Answers

Answer:

-5(x-21)(x-3)

Step-by-step explanation:

-5[tex]x^{2}[/tex] + 120x - 315 = -5([tex]x^{2}[/tex] - 24x + 63)

                           = -5([tex]x^{2}[/tex] - 3x - 21x + 63)

                           = -5[x(x-3) - 21(x-3)]

                           = -5[(x-21)(x-3)]

3 divided by 3/4 IN FRACTION FORM! HELP ASAP

Answers

3 divided by 3/4 is equal to 4 or 12/3

Solve |x| + 7 < 4.

{x | x < -11 or x > -3}
Ø
{x | -3 < x < 3}

Answers

The solution of equation is ∅.

What is linear inequality?

According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols.

Given equation |x| + 7 < 4

subtract 7 from both sides

|x| + 7 - 7 < 4 - 7

|x| < -3

but |x| ≥ 0, for all real values,

so solution is ∅.

Hence the solution of equation is ∅.

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What is the domain of the function f/x )= log?

Answers

The domain of the given function would be x > 0.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.

Hence, the domain of the given function would be x > 0.

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The domain of the given function would be x > 0.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.

Hence, the domain of the given function would be x > 0.

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Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. X = 5 sqrt( y) text(, ) x = 0 text(, ) y = 4 Find the volume V of this solid. V

Answers

Answer:

V = 200 π

Step-by-step explanation:

x = 5√y ,   x = 0 ,   y = 4

Determine the volume of the solid V

when x = 0  y = 0

we can calculate the volume of the solid by applying the washer method

V = π ₀⁴∫ [ 0 + ( 5√y )^2 ]  dy

   = π ₀⁴∫ [ 0 + ( 25(y) ) ]  dy

V  = π [ 0 + 25/2 ( y^2 ) ] ⁴₀

V = π [ 25/2 ( 16 ) ]

  = 200 π

Prove that:
(1 + Tan²A) Cos²A = 1​

Answers

Step-by-step explanation:

=(1+ sin^2 A/cos^2 A).cos^2 A

=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A

=[1/cos^2 a] . cos^2 a

=1

A total of 4 pennies are put into 4 piles so that each pile has a different number of pennies. What is the smallest possible number of pennies that could be in the largest pile

Answers

Answer:

Step-by-step explanation:

iF THERE MUST BE 4 PILES, and you have only 4 pennies, then there must be 1 penny in each pile.  

A triangle has the sides of 7 in, 14 in, and 25 in. Is it a right triangle? ​

Answers

Answer:

No it does not equal a right triangle.

This dot plot is not symmetric, and the data set has three extreme values.

Which of these measures is the best measure of variability for the dot plot? A. Interquartile range (IQR) B. Mean C. Median O D. Mean absolute deviation (MAD)​

Answers

Answer:interquartile range IQR

Step-by-step explanation:ApE x

Answer:

ANSWER IS IQR

Step-by-step explanation:

DID THE TEST

How to simplify an equation?

Answers

The process of simplify the equation is explained below.

The term equation is known as a mathematical statement that defines the equality between two expressions.

Here we have to define the process of simplifying the equation.

The first and foremost step is to remove parentheses and brackets by multiplying factors.

And then we have to use the exponent rule to remove grouping if the terms contain exponents.

Then we have to combine like terms by adding or subtracting coefficients.

Finally, we have to Combine the constants.

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Find the percent of change. Round to the nearest tenth, if necessary.


During the winter, the grill was marked at $85. In June, the price was changed to $110. 50.

PLEASE THIS IS URGENT

Answers

During the winter, the grill was marked at $85. In June, the price was changed to $110. 50. So, 23.08% is the change in percentage.

What is percentage?

When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.

Comparing two amounts while re basing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.

Given that,

the grill was marked at $85

the price was changed to $110. 50.

Now, percentage change:

= [{(110. 50 - 85)/110.50} × 100]

= (0.2308 × 100)

= 23.08%

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Find the length of the diagonal of the rectangle.
Round your answer to the nearest tenth. The height of the rectangle is 7 meters. The length is 9 meters

Answers

Answer:

≈ 11.4 m

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles , with legs 7 and 9 and the diagonal the hypotenuse.

Using Pythagoras' identity with h as the diagonal, then

h² = 7² + 9² = 49 + 81 = 130 ( take the square root of both sides )

h = [tex]\sqrt{130}[/tex] ≈ 11.4 m ( to the nearest tenth )

The function w (t) = 29 + 0.0674t gives the estimated weight, in pounds, of a beaver t days
after June 1, where t < 90. Which of the following is the best interpretation of 29 in this context?

1)The estimated weight, in pounds, of the beaver 90 days after June 1

2)The estimated weight, in pounds, of the beaver on June 1

3)The estimated number of pounds by which the beaver's weight increased each day after June 1

4)The estimated number of pounds by which the beaver's weight increased in the 90 days after
June 1

Answers

Answer:

2) The estimated weight, in pounds, of the beaver on June 1.

Step-by-step explanation:

Given function:

[tex]w(t) = 29 + 0.0674t \quad t < 90[/tex]

where:

w = weight of a beaver (in pounds)t = time after June 1 (in days)

When t = 0:

[tex]\begin{aligned}\implies w(0)&=29+0.0674(0)\\&=29+0\\&=29\end{aligned}[/tex]

Therefore, the constant of the equation (29) is the estimated weight of the beaver, in pounds, when t = 0.

As t = 0 is June 1:

29 is the estimated weight, in pounds, of the beaver on June 1.

Of the 50 members of a staff, 40 percent worked the day shift and the remaining 60 percent worked the night shift in a given week. Of the staff members, 80 percent prefer working the day shift and the remaining 20 percent prefer working the night shift. What is the minimum number of staff members who failed to receive his or her preference of shift that week

Answers

The minimal number of employees who did not get their preferred shift that week was 20.

Out of 50, 40% are on the day shift = 0.4*50 = 20 & 60% are on the night shift = 30.

But, 80% of 50 prefer day shift = 0.8*50 = 20 & 20% of 50 prefer night shift = 10.

We need to find the minimum no. of people who did not get their desired shift. Since slots for the night shift(30) are greater than the people who desired it (10). We can assume that among those 30-night shift slots, 10 were occupied by the ones who wanted the night shift. So, whoever wanted the night shift got the night shift.

But, for the day shifts the no. of slots (20) is less than the number of people who desired it (40). So, there are going to be 20 people who did not get what they desired.

Thus, 20  is the minimum number of staff members who failed to receive her preference of shift that week.

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Write the ratio of the first measurement to the second measurement. Compare in inches.

Answers

Answer:

when the ratio of the first measurment is already there, get the pot, put it in place and chec the correct ratio, the slope should help the gaurdian. so in that case, the answer is 75inch

A company manufactures industrial laminates (thin nylon-based sheets) of thickness 0.016 in., with a tolerance of 0.004 in.
0.016 in.
(a) Find an inequality involving absolute values that describes the range of possible thickness for the laminate. (Use h for
the thickness.)
(b) Solve the inequality that you found in part (a). (Enter your answer using interval notation.)

Answers

An inequality involving absolute values that describes the range of possible thickness for the laminate.

|h - 0.016| <= 0.004The range of possible thickness for the laminate is given by the interval (0.012, 0.02).

What is inequality?

(a) The range of possible thickness for the laminate is given by the tolerance of 0.004 in., so we can write an inequality involving absolute values as:

|h - 0.016| <= 0.004

(b) To solve the inequality, we need to consider two cases:

Case 1: h - 0.016 <= 0.004

             h <= 0.02

Case 2: h - 0.016 >= -0.004

             h >= 0.012

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jonn has a total of 50 coins in her purse The are either nickles or quarters The value of the ccoins is $7.10 Which system of equations can be used to determine the number of nickles ,n and quarters ,q, that jonna has in her purse .​

Answers

Answer:

n + q = 50

.05n + .25q = 7.10

Step-by-step explanation:

total of 50 coins .... are either nickles or quarters

n + q = 50

value of the coins is $7.10

The value of each coin times the quantity is the value

.05n + .25q = 7.10

How do you solve this? 11t-t^2=30

Answers

Answer:

t = 5, 6

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{11t-t^2=30}[/tex]

First, arrange the expression in the standard quadratic form ax² + bx + c = 0

[tex]\displaystyle{t^2-11t+30=0}[/tex]

Then factor the expression, find two numbers that add up which result in -11  and multiply which result in 30 - that two numbers are -6 and -5

[tex]\displaystyle{(t-6)(t-5)=0}[/tex]

Solve like a linear equation

[tex]\displaystyle{t=5,6}[/tex]

Therefore, the solutions to the equation are t = 5, 6

Answer:

The solution set is {5, 6}.

Step-by-step explanation:

11t-t^2=30

t^2 - 11t + 30 = 0

(t - 5)(t - 6) = 0

t = 5, 6.

write an equation in pint-slope form, slope-intercept, and standard form
Slope: -5 (-3,-7)
(-6,10), (-4,18)
(-4,9), (1,14)

Answers

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

to get the equation of any straight line, we simply need two points off of it, let's use (-6,10), (-4,18)

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{10}}}{\underset{\textit{\large run}} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{8}{-4 +6} \implies \cfrac{ 8 }{ 2 } \implies 4[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y -10 = 4 ( x +6) \end{array}} \\\\\\ y-10=4x+24\implies -4x+y=34\implies \stackrel{standard~form}{{\Large \begin{array}{llll} 4x-y=-34 \end{array}}}[/tex]

Solve for x. Solve for x.

Answers

Answer:

23

Step-by-step explanation:

7(x+1) = 8(x-2)

7x+7 = 8x-16

x = 23

Gary, Mary, and Rory have the same number of candies. If Gary gives Mary half of all his candies, then Mary gives Rory half of all the candies she has at the moment, and then Rory gives Gary half of all the candies he (Rory) has at the moment, Gary would have 12 more candies than he had originally. How many candies do Gary, Mary, and Rory have altogether

Answers

Gary, Mary, and Rory have 96 candies altogether.

Let's assume that the original number of candies that Gary, Mary, and Rory had is "x".

After Gary gives Mary half of all his candies, he would have x/2 candies.

Then, after Mary gives Rory half of all the candies she has at the moment, she would have x/4 candies.

And then, after Rory gives Gary half of all the candies he (Rory) has at the moment, he would have x/8 candies.

Now, we know that Gary would have 12 more candies than he had originally, which means:

x/2 + x/8 = x/2 + x/4 - 12

We can combine like terms and simplify the equation:

x/2 + x/8 = x/4 + x/4 - 12

x/8 = 12

x = 8 * 12

x = 96

Thus, Gary, Mary, and Rory have 96 candies altogether.

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What are the domain and range of the function fix) = x* - 2x2 - 4?

Answers

Answer: domain(-oo,oo). range= f(x) >-5

Step-by-step explanation:

The diagram shows an isosceles triangle. All the measurements are in cm, work out the perimeter of the triangle.

Answers

The answer to your question is 38!

hi, I need mo ney for food anything helps its been such a struggle since co vid hit.

Answers

Answer:

get a job....

You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
You earn $
for washing 4 cars.

Answers

You get 20$ dollars. Because if you divide 35 by 7 you get 5 then times 5*4=20

3. Which of the following numbers is divided by 5?
a) 1234 b) 3457 c) 4750 d) 3478​

Answers

Answer:

c) 4750

Step-by-step explanation:

Take a calculator and divide it or long division. You get 950.

Answer:

c) 4750

Step-by-step explanation:

c) 4750 is the answer of your question .

hope it is helpful to you

Kayla had 20 candie. Kayla have 1/5 of the candie to her iter. Of the amount left , he gave 3/8 of her friend. How many candie doe Kayla have left for herelf ?

Answers

The candies left for Kyla were 10 based on the amount given to her sister and friend from total 20 candies.

Firstly we will calculate the remaining candies from twenty after giving to her sister. Next calculation will be the final answer representing candies left for Kyla herself.

Remaining candies = total number of candies - 1/5×total candies

Keep the values in formula

Remaining candies = 20 - 1/5×20

Remaining candies = 20 - 4

Remaining candies = 16

Total candies for Kyla = remaining candies - 3/8×remaining candies

Candies for Kyla = 16 - 3/8×16

Candies for Kyla = 16 - 3×2

Candies for Kyla = 16 - 6

Candies for Kyla = 10

Thus, Kyla received 10 candies.

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