A trip to the Rocky Mountains of Colorado from Denver will take 1 3/4 hours. Assuming we are 1/3 of the way there, how much longer in hours will the trip take?
9514 1404 393
Answer:
1 1/6 hours
Step-by-step explanation:
Assuming distance and time are proportional, 2/3 of the 1 3/4 hours remain:
(2/3)(7/4) = 14/12 = 1 1/6 . . . . hours remain
The trip will take 1 1/6 hours longer.
Answer:
the answer is 1 1/6 hours
Step-by-step explanation:
:)
what is 8 (x/4 - 6) < 4
Answer:
x<26
Step-by-step explanation:
8(x/4 - 6) < 4
Divide both sides by 8;
8(x/4 - 6)/8 < 4/8
Simplify;
x/4-6<1/2
Add 6 to both sides;
x/4-6+6<1/2+6
Simplify;
x/4-6+6<1/2+6
Simplify
x/4-6+6
=x/4
Simplify;
1/2+6
Convert it into a fraction;
6*2/2+1/2
Since the denominators are equal combine the fractions;
6*2+1/2
6*2+1=13
=13/2
x/4<13/2
Multiply both sides by 4;
4x/4<13*4/2
Simplify 4x/4
4x/4
4/4=1
=x
Simplify 13*4/2
Multiply the numbers:13*4=52
=52/2
Divide the numbers:52/2=26
=26
x<26
HOPE THIS HELPED!!!
helppppp meeeeee the sum of the squares of three consecutive integer numbers is 1454. Find the numbers. but i found 21 22 and 23. you need to find the other set plzzz
Step-by-step explanation:
A=x
B=x+1
C=x+2
[tex] {x}^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454 \\ {x}^{2} + {x}^{2} + 2x + 1 + {x}^{2} + 4x + 4 = 1454 \\ 3{x}^{2} + 6x + 5 - 1454 = 0 \\ 3 {x}^{2} + 6x - 1449 = 0 \\ {x}^{2} + 2x - 483 = 0 [/tex]
I'm sorry but I can't use the calculator, I hope this helps you anyway.
Answer:
The two sets would be 21,22,23 and -21, -22, and -23
Step-by-step explanation:
This is because a negative number squared would be positive.
So -21^2+-22^2+-23^2 would equal the same as 21^2+22^2+23^2 which would be 1454.
Here are the lowest temperatures recorded in the last 2 centuries for two US cities. How many more degrees colder is the record temperature for GA than FL?
Answer:
What are the temperatures
Find the value of x?
Answer:
x = 12
Step-by-step explanation:
An inscribed angle has half the measure of the arc it intercepts.
arc SU +arc UT = 180°
2(43°) +(9x -14)° = 180°
9x = 108 . . . . . . . divide by °, subtract 72, simplify
x = 12 . . . . . divide by 9
what is the domain of the function
Answer:
The domain is 0≤x<∞
Step-by-step explanation:
The domain is the values that the input can take.
The square root cannot be less than zero
sqrt(x) ≥ 0
That means x ≥0
The domain is 0≤x<∞
A Mustang GT on Missouri has a marked price of $60,000. If paid in cash you are to pay 15% less than the marked price. It also have a hire purchase plan which states to pay 30% of the marked price and $1000 monthly payments for 4 yrs.
A) Discount on Cash price.
B) Cash Price.
C) Amount Payable.
D ) Hire Purchase Price
E ) Difference between the Hire Purchase price and the Cash Price.
Answer:
A) Discount on Cash price. ($9,000 )
B) Cash Price. ($51,000 )
C) Amount Payable. ($51,000 )
D ) Hire Purchase Price ($66,000 )
E ) Difference between the Hire Purchase price and the Cash Price. ($15,000 )
Step-by-step explanation:
The following is the workings:
The GT Missouri marked price = $60,000
If paying cash,
Discount = 15%
(15/ 100 ) x $60,000 = $9,000
Actual Price (less discount) = $60,000 - $9000 = $51,000
If hire purchase,
Firstly, 30% marked price,
= (30/100) x $60,000 = $18,000
Monthly payment = $1000
Period = 4 years = 4 x 12 = 48 months
Total monthly payment,
$1000 x 48 = $48, 000
Therefore, total hire purchase payment
Monthly payment + initial 30% payment
= $18,000 + $48,000 = $66,000
Difference between hire purchase and cash price,
= $66,000 - $51,000 = $15,000
If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB. Please show all your work
Answer:
-2/5
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
= ( 3-9)/(0+15)
= -6/15
= -2/5
Bill buys a large can of paint. The size of the can measured in which units
Answer:
Paint is measured in gallons
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!
Just need help for questions 88 and 90.
PLEASE HELP WILL MARK BRAINIEST! Asap
Answer:
n=8
Step-by-step explanation:
It’s a special 30-60-90 triangle, so n=8.
Answer:
54 Ok?
Step-by-step explanation: Thats what i got
The formula for area is length x width.
What is the area of the rectangle if the
length is 7/5 and the width is 5/8? Write
your answer in simplest form.
5
8
75|
Answer:
7/8
Step-by-step explanation:
7/5•5/8= 7•5/5•8
= 35/40
=7/8
hope this helps chu
Nicole is solving the equation and realizes there's a mistake.
A) Determine the mistake
B) Determine the correct answer.
- 2x -4>8
-2x - 4+4>8+4
-2x >12
- 2x/2 > 12 /2
x>-6
Answer:
She forgot to multiply both sides by -1 and reverse the inequality. She also didn't flip the signs.
Step-by-step explanation:
- 2x -4>8
-2x - 4+4>8+4
-2x >12
(-2x)(-1)<12(-1)
2x<-12
2x/2<-12/2
x<-6
Hope this helped!!!
14. A researcher wants to know if the average price of a home in Salt Lake City is higher than the average home in the entire United States. If you know that the average home price in Salt Lake City is $450,000 and the average home price in the entire country is $425,000, please conduct the appropriate test to see if Salt Lake City is more expensive under the following two conditions: (make sure to state which test you are using - they should be different, your null and alternative hypotheses, your a level, the critical score for that test, your statistical conclusion based on the observed statistic, and the meaning of your statistical conclusion in words) a. when you are given the actual standard error of the entire population of the country to be $30,000. (25 points) b. when you are given the estimated population standard deviation of homes in Los Angeles to be $30,000 for 360,000 homes (25 points)
Answer:
25000
Step-by-step explanation:
bc the proof is solid
Please help me! This is due tomorrow and I really need some help! Thank you.
Answer:
B. the mean is 59 inches
Step-by-step explanation:
if you add the number of inches together you get 413. 413 divided by 7 is 59. that is the mean.
Answer:
B: The mean wingspan is 59 inches.
Step-by-step explanation:
The mean is the average so when you add up all of the wingspans 53+59+59+60+60+61+61 you get 413, and to find the mean you would divide that by seven (413/7), because there are 7 students, which is 59.
Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.
Answer:
I can't understand your equation. Please rewrite it.
Step-by-step explanation:
THEN FIND THE VALUE OF X
Answer:
Supplementary
x = 31
Step-by-step explanation:
The given angles are supplementary which means their sum is equal to 180
3x + 25 + 2x = 180 add like terms
5x + 25 = 180 subtract 25 from both sides
5x = 155 divide both sides by 5
x = 31
A school secretary plans to order 510 sandwiches for a school picnic. He asks 85 randomly selected students which type of sandwich is their favorite. Based on the data from the sample, how many of each type of sandwich should the secretary order? Show your work.
Sandwich type quantity
penutbutter 37
Ham 18
egg salad 5
Turkey 25
Answer:
85 will be the answer
Step-by-step explanation:
please mark as braillenest
Answer:
Step-by-step explanation:
510/85 = 6
Sandwich type quantity
penutbutter 37 X 6 = 222
Ham 18 X 6 = 108
egg salad 5 X 6 = 30
Turkey 25 X 6 = 150
222 + 180 + 30 + 150 = 510
A sewing instructor asked his students how many spools of knitting yarn they carried in their sewing kits. The table shows the data he recorded.
Need answer asap, will give brainliest.
Answer:
(-2,3)
Step-by-step explanation:
You can see that the purple is the new triangle. So look at the coordinate of the D. You can see that it is plotted at (-2, 3)
Answer:
(-2, 3)
to find the point of something you first find where uts standing on the x-axis (vertical line) and then where its standing on the y-axis (horizontal line)
63 students went on to the zoo. S vans were filled with equal numbers of students and 3 students rode in a car. How many students were in each van?
Answer:
no of students 63
the answer is...
21
Ahmed invests $4000 in two different accounts. The first account paid 10 %, the second account paid 9% in
interest. At the end of the first year he had earned $370 in interest. How much was in each account?
Answer: 3000$ in 9% account
Step-by-step explanation: sums in accounts are x and (4000-x)
Interests are 0.09x and 0.10(4000-x) = 400-0.1x
Now you get 0.09x -0.1x + 400 = 370
Then -0.01x = -30 and x= 3000
Rewrite the following sentence in the passive voice:
The people of Zanzibar extended a warm welcome to the tourists.
Answer:
When the tourists came, the people of Zanzibar extended a warm welcome.
Help please! :) I don’t know how to solve this!
Answer:
261
Step-by-step explanation:
→ Substitute 2 into g( x )
( 3 × 2 ) + 10 = 16
→ Substitute that answer into f( x )
16² + 5 = 261
Solve these equations.
Answer:
x=0, -28.
Step-by-step explanation:
abs(x+14)=14
x+14=14
x=14-14=0
----------------
x+14=-14
x=-14-14
x=-28
A model rocket is launched directly upward at a speed of 15 meters per second from a height of 10 meters. The function f(t)=-4.9t^ 2 +15t+10. models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest pointRound to two decimal places.
Answer:1.53
Step-by-step explanation:
can you help me find the value of each shape plz
Answer:
Star = 10Square = 4Circle = 1Step-by-step explanation:
Hope it helps you!
A study that looked at beverage consumption used sample sizes that were much smaller than previous national surveys. One part of this study compared 20 children who were 7 to 10 years old with 5 who were 11 to 13. The younger children consumed an average of 8.2 oz of sweetened drinks per day while the older ones averaged 14.1 oz. The standard deviations were 10.8 oz and 8.2 oz respectively.
Required:
Do you think that it is reasonable to assume that these data are Normally distributed? Explain why or why not?
Answer:
Step-by-step explanation:
In statistics, about 68 percent of values come in one standard deviation of the mean by using a standard normal model. Approximately 95% of the data were all within two standard deviations from the mean. Almost all of the data are in the range of three standard deviations of the mean (roughly 99.7%).
The 68-95-99.7 law, also known as the Empirical Rule, is based on this evidence. 68 percent of the data values of a naturally distributed data collection of small children with a mean of 8.2 and a standard deviation of 10.8 would be between -2.2 and 19.0.
Within a mean of 14.1 as well as a standard deviation of 8.2, 68 percent of the data values in a usually distributed data collection of older children would be between 5.9 and 22.3.
However, we cannot conclude that the data is naturally distributed since the real actual data vary from the usual normal curve computed above.
Hence, various measures like either goodness of fit or theory testing, would be used for this.
Triangle ABC is formed by connecting the points A (2,6), B (6,6) and C (6,1). What is the exact length of the hypotenuse of triangle ABC? Express your answer as an entire radical.
Step-by-step explanation:
ndnndndndjdjdjdfjfjfgnn
Where would the last point need to be in order to finish graphing a square using the points ( 1, 3) 5,3 and 5,7?
A. (3, 7
B. 1, 5
C 1, 7
D. 5, 1
Answer:
C
Step-by-step explanation: