Answer:
10:00 AM
Step-by-step explanation:
Frank drove at a speed of 50 mph, and traveled a distance of 150 miles. This means he traveled for
150/50 = 3 hours.
7 AM + 3 hours = 10 AM
The solution is, at 10:00 AM Frank will arrive at the airport.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
here, we have,
given that,
Frank left his house at 7 a.m. and drove to the airport at a speed of 50 mph.
Lance left his house at 6 a.m. and drove to the same airport at a speed of 55 mph.
Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.
so, we get,
Frank drove at a speed of 50 mph,
and traveled a distance of 150 miles. This means he traveled for
150/50 = 3 hours.
Thus, it takes Frank 3 hours to reach the airport.
so, we get,
since he departed at 7:00 AM, he will arrive at the airport at
7 AM + 3 hours = 10 AM
Hence, The solution is, at 10:00 AM Frank will arrive at the airport.
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What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4
Answer: [tex]x=\±2\sqrt{10}[/tex]
Step-by-step explanation:
To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:
- Subtract 40 from both sides of the equation.
- Multiply both sides of the equation by -1
- Apply square root to both sides of the equation.
Therefore, by applyin the steps above, you obtain:
[tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]
Answer:
answer=a edg 2020
Step-by-step explanation:
A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you randomly select another marble from the bag. Which calculation proves that randomly selecting a white marble the first time and a blue marble the second time are two independent events?
1/5 this shows that each can be picked up at Least 1/5 or 2/10
P(A and B) =
1
2
·
1
2
Two events A and B are independent if the probability of A and B occurring together is the product of their probabilities,
P(A and B) =
1
2
·
1
2
P(red, blue) =
1
2
·
1
2
1
4
=
1
2
·
1
2
Julie can type 3 pages in x minutes. How many minutes will it take her to type 11 pages?
a. 33x
b. 3/ 11x
c. 11/ 3x
d. 3x/ 11
e. 11x /3
Julie can type 3 pages in x minutes; to find the time to type 11 pages, set up a proportion and solve, resulting in 11x/3 minutes.
Explanation:Since Julie can type 3 pages in x minutes, the rate at which Julie types is 3 pages per x minutes. If we want to find out how many minutes it will take her to type 11 pages, we simply set up a proportion based on her typing rate:
3 pages / x minutes = 11 pages / y minutes
To solve for y, which is the time it will take to type 11 pages, we cross-multiply and get:
3y = 11x
Then, we divide both sides of the equation by 3, yielding:
y = 11x / 3
The answer is option (e): 11x / 3.
What is the value of x enter your answer in the box
Answer:
x = 25Step-by-step explanation:
Use the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex]
a,b - legs
c - hypotenuse
We have c = x, a = 7 and b = 24. Substitute:
[tex]x^2=7^2+24^2\\\\x^2=49+576\\\\x^2=625\to x=\sqrt{625}\\\\x=25[/tex]
3 ½ – 2 ⅓
Give your answer as a improper fraction
❣ R̾e̾f̾e̾r̾ t̾h̾e̾ a̾t̾t̾a̾c̾h̾m̾e̾n̾t̾.... ❣
☺.. h̾o̾p̾e̾ i̾t̾ h̾e̾l̾p̾s̾ y̾o̾u̾.. ☺
first change them into improper fractions
(2×3)+1/2 -->7/2
(3×1)+1/2--> 7/3
7/2-7/3 now find the least common denominator (lcd) it is 6
2 goes into 6, 3 times,7×3 =21--> 21/6
3 goes into 6, 2 times, 7×2=14 --> 14/6
21/6-14/6=7/6
Which expression is equal to 3x?
that's too easy question anyway thanks for giving me points.
it's x+x+x
Answer:
B. [tex]x+x+x[/tex]
Step-by-step explanation:
We are asked to find the equivalent expression to [tex]3x[/tex].
Our given expression stands for 3 times x. This means x is multiplied by 3 or we can say that x is added to itself 3 times.
We can rewrite [tex]3x[/tex] as [tex]x+x+x[/tex].
Upon looking at our given choices, we can see that only option B is the correct choice.
translating verbal sentences: 16 decreased by a number is 27
math question,, will reward 10 points :)
Answer
B=36.
Explanation
L.s.f=linear scale factor.
A.s.f=area scale factor.
L.s.f=length of prism 1/length of prism 2
L.s.f=3/8.
let area or prism 1=x
A.s.f=(L.s.f)^2
A.s.f=(3/8)^2
=9/64
9/64=x/256
x=(9×256)÷64
=36.
Write the fractions as mixed number. Answers please for each
Answer:
32/5 = 6 2/5
19/3 = 6 1/3
15/4 = 3 3/4
51/10 = 5 1/10
Step-by-step explanation:
Divide the top number and the bottom number. Example: 32 divided by 5 = 6 R2. Put the 5 under the 2. 2/5. So the total is 6 2/5.
Lucy and Ricky buy a home. They plan to make a down payment and carry an $82,500 mortgage. Closing costs are $2,000 and are added to the loan amount. What is the new amount being financed?
(A) 78,500
(B) 84,500
(C) 80,500
Answer:
B.) 84,500
Step-by-step explanation:
$82,500 is the morgage right now. but an additional $2,000 is added.
82,500 + 2,000 = 84,500
$84,500
Hoped this helped! Please mark as brainliest! thanks!
Help??????? It’s precal
what does precal mean I don't understand
Which sides are congruent? What is the correct answers choice(s)
I think the answer is B and C
Answer: fr and nr, rc and ro, no and nm
Step-by-step explanation: you just have to look at each of the lines and see if they are equal or not i hope this helps :))
The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one standard deviation of the mean? 18° 19° 22° 30°
Answer:
22°
Step-by-step explanation:
If the mean is m and the standard deviation is s, then we can say that the temperatures that fall within 1 standard deviation of the mean will be:
m - s < temperatures < m + s
To we take the sum of mean and standard deviation: 24 + 4 = 28
and, the different of mean and standard deviation: 24 - 4 = 20
So, the temperature that is in between 20 and 28 is the temperature within 1 standard deviation of the mean.
This is the third answer, 22°
Answer:
The answer is C, 22
Step-by-step explanation:
I just took the test
28 Points! Help!!! AsAP
Answer:
I believe your answer is 7
Step-by-step explanation:
When dividing numbers with exponents, you subtract the exponents.
11 - ? = 4
The missing exponent is 7.
Rewrite the expression 5(10+12) using distributive property of multiplication over addition
Answer:
50+60=110
Step-by-step explanation:
multiply 10 by 5 and 12 by 5 to get 50 and 60 add them together to get 110.
This scale factor is a ____.
Answer:
I would believe the scale factor to be 1.5:6!
please help me asap!
Answer:
[tex]\frac{7x + 7}{(x-3)(x+4)}[/tex]
Excluded values are 3 and -4
Step-by-step explanation:
To simplify the expression multiply to create a common denominator.
Multiply the first fraction by (x-3) and the second fraction by (x+4).
[tex]\frac{3}{x+4} + \frac{4}{x-3}\\\\\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)}[/tex]
[tex]\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)} \\\\\frac{3(x-3) + 4(x+4)}{(x-3)(x+4)}\\\\\frac{3x - 9 + 4x + 16}{(x-3)(x+4)}\\\\\frac{7x + 7}{(x-3)(x+4)}[/tex]
Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.
A fish is swimming at a constant rate toward the ocean floor. The equation y=-7x-3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Which statement best describes the depth of the fish, given this equation?
A} from starting position of 7 meters below sea level, the fish descending 3 meters per second
B} from starting position of 7 meters below sea level, the fish is ascending 3 meters per second
C} from starting position of 3 meters below sea level, the fish is descending 7 meters per second
D} from starting position of 3 meters below sea level, the fish is ascending 7 meters per second
PLEASE HELP!!!
Answer:
C
Step-by-step explanation:
y = -7x - 3 is a linear function that follow y = mx+b. M is the slope or rate. Here m = -7 so the fish descends 7 meters per second. B is the y-intercept or starting position. Here the starting position is -3 so the fish starts 3 feet below sea level.
if x=3 calculate the value of
x3+x
and if X=-3 calculate the value of X3+3
Answer:
if X =3 then X would be equal to 12
Step-by-step explanation:
x3+x
put x=3
(3)3+3
9+3
12
Answer:
Step-by-step explanation:
[tex]x=3 \\3(x)+x\\3(3)+3\\9 +3\\= 12\\ X= - 3 \\ 3(x)+x\\3(-3)+(-3)\\-9-3\\= -12[/tex]
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w12h+30w12, h, plus, 30, w where hhh is the number of hours worked and www is the number of wagons sold.
What is the amount paid to an employee that works 666 hours and sells 333 wagons?
Answer:
The amount paid to an employee was 162Step-by-step explanation:
The expression 12h + 30w Identifies the amount paid to an employee.Let h represent hours and let w represent the total amount of g-wagons sold. Since the question explains that an employee works 6 hours and sells 3 wagons, put h as h = 6 and w as w = 3. We would end up getting this equation. 12h + 30w = 12(6) + 30(3).Now all you need to do is solve it.left side = 72right side = 9072 + 90 = 162The function y = -2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x ist the price of a hot dog (in dollars). Find and interpret the zeros of this function
Answer:
Option A The zeros are the hot dog prices that give $0.00 profit (no profit)
Option C. Zeros at [tex]x=3(+/-)\sqrt{2}[/tex]
Step-by-step explanation:
we know that
The zeros of the function are the values of x when the value of y is equal to zero
In this problem
The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero
we have
[tex]y=-2(x-3)^{2}+4[/tex]
Find the zeros
equate the equation to zero
[tex]0=-2(x-3)^{2}+4[/tex]
[tex]2(x-3)^{2}=4[/tex]
[tex](x-3)^{2}=2[/tex]
square root both sides
[tex]x-3=(+/-)\sqrt{2}[/tex]
[tex]x=3(+/-)\sqrt{2}[/tex]
Answer:
Option A The zeros are the hot dog prices that give $0.00 profit (no profit)
Option C. Zeros at
Step-by-step explanation:
Which sequences are arithmetic? Check all that apply.
1. –5, 5, –5, 5, –5, …
2. 96, 48, 24, 12, 6
3. 18, 5.5, –7, –19.5, –32, …
4. –1, –3, –9, –27, –81, …
5. 16, 32, 48, 64, 80
-5,5,-5,5,-5,5,-5,5,-5
ANSWER
3. 18, 5.5, –7, –19.5, –32, …
and
5. 16, 32, 48, 64, 80
EXPLANATION
An arithmetic sequence has a constant difference.
1. –5, 5, –5, 5, –5, … is not an arithmetic sequence because 5--5≠ -5-5
2. 96, 48, 24, 12, 6 is not an arithmetic sequence because 48-96≠ 24-48
3. 18, 5.5, –7, –19.5, –32, … is an arithmetic sequence because there is a constant difference of
[tex]5.5 - 18 = - 12.5[/tex]
4. –1, –3, –9, –27, –81, … is not an arithmetic sequence because
[tex] - 3 - - 1 = - 9 - - 3[/tex]
5. 16, 32, 48, 64, 80 is also an arithmetic sequence because
[tex]32 - 16 = 48 - 32[/tex]
Write 5/3 as a mixed number in simplest form.
Step-by-step explanation:
[tex]\dfrac{5}{3}=\dfrac{3+2}{3}=\dfrac{3}{3}+\dfrac{2}{3}=1\dfrac{2}{3}[/tex]
The U.S. government collects information on Americans who do not have health insurance. Here is the data, sorted by geographic region:
Region Uninsured Insured Row Totals
Northeast 6,782 47,043 53,825
Midwest 7,757 57,135 64,892
South 19,090 85,800 104,890
West 11,676 55,427 67,103
Column Totals 45,305 245,405 290,710
The percentage of people from the West that are insured is:
Do 55,427 divided by 67,103 which is 0.825998838 then multiply that by 100 to get 82.5998838 then round up to the nearest tenth to get 83 percent
The percentage of people from the West that are insured is 83%.
Given that, the U.S. government collects information on Americans who do not have health insurance.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Number people insured from west region = 55,427
Total number of people from west region = 67,103
So, percentage = 55,427/67,103 × 100
= 0.8259 × 100
= 82.59
≈ 83%
Therefore, the percentage of people from the West that are insured is 83%.
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Pocket money is split between Paula, Alan and Henry in the ratio 7:3:2. Alan gets £3.75.
How much do the others get?
How much altogether?
➷ Writing it out like this will help:
7 : 3 : 2
? : 3.75 : ?
So, 3.75 is 3 parts as per this ratio
Divide this amount by 3 to get 1 part in the ratio
3.75 / 3 = 1.25
Now simply multiply all the other ratios by this value to find how much the others get:
1.25 x 7 = 8.75
1.25 x 2 = 2.5
Paula gets £8.75 and Henry gets £2.50
The amount altogether would be their individual amounts added together:
8.75 + 2.50 + 3.75 = 15
The total amount of money is £15.
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What is (y^6)^-2?
2y^12
y^12
y^8
y^36
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (y^6)^{-2}\implies y^{-2\cdot 6}\implies y^{-12}\implies \cfrac{1}{y^{12}}[/tex]
Plz help!! Needed to graduate in May
simplify √3(2)√2
=2√6(
Answer:
2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{3}[/tex] × 2[tex]\sqrt{2}[/tex]
= 2 × [tex]\sqrt{3(2)}[/tex] = 2[tex]\sqrt{6}[/tex]
Given two functions f(x)=2x+1 and g(x)=−13x−3 , what is the function rule for (f+g)(x)
Answer:
(f+g)(x)=5/3x−2
Step-by-step explanation:
(f+g)(x)=f(x)+g(x)
f(x)=2x+1 + g(x)=−1/3 x−3
add like terms
2x+(-1/3 x)=5/3 x
1+(-3)= -2
so...
(f+g)(x)=5/3 x−2
How many inches are in 35 feet?
Answer:
420 inches
Step-by-step explanation:
There are twleve inches in one foot.
(35) (12) = 420
Answer:
420 in.
Step-by-step explanation:
Going from a bigger unit to a smaller unit, you multiply 12 by 35 to get 420.
I am joyous to assist you anytime.
106,68 dm. = 35 ft. :]
a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the cone and the sphere?
The volume [tex]V_c[/tex] of a cone with base radius [tex]r_c[/tex] and height [tex]h_c[/tex] is
[tex]V_c = \dfrac{1}{3}\pi r_c^2 h_c[/tex]
Similarly, the volume [tex]V_s[/tex] of a sphere with radius [tex]r_s[/tex] is
[tex]V_s = \dfrac{4}{3}\pi r_s^3[/tex]
We know that [tex]V_c=V_s[/tex] and that [tex]h_c=96[/tex]
So, we can set up the following equation:
[tex]\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3[/tex]
We can simplify the common denominator 3, and pi appearing on both sides:
[tex]96r_c^2=4r_s^3[/tex]
We can divide both sides by 4:
[tex]24r_c^2=r_s^3[/tex]
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
The values for the radius of the cone and the sphere is 24 units.
It is given that a cone and a sphere have the same volume.
It is required to find the radius of the cone and sphere if the height of the cone is 96.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the cone:
[tex]\rm V_c = \pi R^2\frac{H}{3}[/tex]
Where R is the radius of the cone and H is the height of the cone.
And the volume of the sphere:
[tex]\rm V_s = \frac{4}{3} \pi r^3[/tex]
Where r is the radius of the sphere.
[tex]\rm V_c = V_s[/tex] (From the question)
[tex]\rm \pi R^2\frac{H}{3}=\rm \frac{4}{3} \pi r^3[/tex]
[tex]\rm \pi R^2\frac{96}{3}=\rm \frac{4}{3} \pi r^3[/tex] ( H = 96 units)
[tex]\rm 32R^2=\rm \frac{4}{3} r^3[/tex]
[tex]\rm 24R^2= r^3[/tex]
We are assuming that R = r
[tex]\rm 24r^2= r^3[/tex]
r = 24 units and
R = 24 units.
Thus, the values for the radius of the cone and the sphere is 24 units.
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