Answer: Approximately 54.7826 mph
As a fraction, this average speed is exactly 1260/23 mph.
========================================================
Work Shown:
"Alice drove 30 miles...at 45 mph". This means
t = d/r
t = 30/45
t = 2/3
She drove for 2/3 of an hour, which is (2/3)*60 = 40 minutes.
Then "she drove home at 70 mph". She drove the same distance, meaning,
t = d/r
t = 30/70
t = 3/7
She drove for 3/7 of an hour, which is roughly (3/7)*60 = 25.714 minutes.
------------------------------
Add up the time values
(2/3 hr) + (3/7 hr)
(2/3 + 3/7) hr
(14/21 + 9/21) hr
23/21 hr
She spent 23/21 of an hour driving going to the auto shop and then back home. The total distance she traveled was 30+30 = 60 miles.
Use these values to find the speed
r = d/t
r = d divided by t
r = 60 divided by (23/21)
r = (60/1) divided by (23/21)
r = (60/1) * (21/23)
r = (60*21)/(1*23)
r = 1260/23
r = 54.7826
Her average speed for the round trip is about 54.7826 mph.
5(p + 10) = (Simplify your answer.)
Answer:
Here it is simplified
Step-by-step explanation:
Which set of ordered pairs represents a function? O{(-6,1), (7,2), (6,5), (-6,-1)} O {(8,7),(-8,-4),(4,8), (-8,1)} O {(-2,7), (-2,0), (0, -6), (-4,0)} o {(-2,-4), (-7,1), (8,3), (3,3)}
Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.
Answer:
I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.
S = 19
B = 9
Step-by-step explanation:
Suzy is ten years older than Belly:
(1) S = B + 10
the next year she will be twice as old as Billy
(2) S + 1 = 2 (B + 1)
solving the system of equation (1) and (2):
Making (2) - (1):
1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10 => 1 = B - 8 => B = 9
replacing in (1) S = 19
can somebody please ..
Answer:
Concept: Graph Analysis
We must look for a negative function that crosses the y-axis at 4.Hence the Blue lineExplain why -6(3)=-18
Answer:
Step-by-step explanation:
- 6 (3)=-18
when you multiply 6 x 3. it would be 18 using multiplication and then a positive and a negative equals a negative so then a the 18 would become - 18.
Can someone tell me if I’m correct
1. Write the postulate that confirms each statement.
Step-by-step explanation:
1. Angle GFH and Angle KFH forms linear pair
and hence they are supplementary
( sum of the angles = 180° )
If f(x)=6x-2, what is the value of f(4)?
Please explain I don’t understand these questions.
Answer:
I think it might be 16 or 24.
Step-by-step explanation:
Pardon if I'm wrong.
What is the value of x in the rhombus below?
O A. 17
O B. 35
O C. 53
O D. 37
Answer:
∴ x= 17
Step-by-step explanation:
the total of angel in 90°
∴ 2x+3+3x+2 =90
∴ 5x +5 =90
5x=90-5
5x = 85 (divide both side by 5)
∴ x= 17
Answer:17
Step-by-step explanation:
big brain knowledge
The prices for a couch, love seat, and chair are $789, $605, and $284. If the total tax paid is $100.68, which amount is closest to the total cost, in dollars, for all three pieces?
Answer:
1778.68 I think
Step-by-step explanation:
Answer:
605
I just got confused sorry.
Solve #13 & #14 please ASAP!!!
Answer:
4th test is a great
Step-by-step explanation:
ok is the for this year as a family
The value of V-9 is not-3 because
Answer:
the answer is D
Step-by-step explanation:
√-9 ≠ -3
-3 ≠ √-9
(-3)² ≠ -9 ( proven )
9 ≠ -9
The value √-9 ≠ -3², option D is correct answer.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result.
Given an expression, √-9
√-9 ≠ -3
-3 ≠ √-9
(-3)² ≠ -9
9 ≠ -9
Hence, √-9 ≠ -3²
For more references on imaginary number, click;
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Is this graph continuous or discontinuous?
Haylee swam for 1 and 1/2 hours on Saturday and 1 and 2/3 hours on Sunday. How many hours did she swim in all?
Answer:
She swam for 3 hours 10 minutes
Divide. Write in simplest form.
3/4 divided by 1/8
Answer:
when you divide 3/4 by 1/8 you get 6
Which two traits are aquired during a person's lifetime?
Answer
D and A?
Step-by-step explanation:
10 -(-6) can someone solve this for me please
Step-by-step explanation:
1 0 +6 =16
........................
Answer: its 16 :)
Step-by-step explanation: see the negitive sign next the negitive, that means its positiveee
2x - 3y = 8
9y - 6x = - 2
Answer:
what?????????????????
Step-by-step explanation:
how do you want me to solve with a fraph or sometging else
1) -1 = x – 5
2) -5x + 2 = 17
PLS ANSWER PLS PLS PLS
I need help please and thanks
Answer:
68 degrees
Step-by-step explanation:
1 & 6 have to equal 180. Therefore, if 1 is 112 then you take 180-112. Then you get 68 degrees.
Answer:
Angle 6 would be 68 degrees
Step-by-step explanation:
Angles 1, 3, 5, and 7 all equal 112. you would subtract 112 from 180 to get the measurement for angles 2, 4, 6, and 8
Help anyone
8th grade math need it asap
Answer:
[tex] \frac{7}{10} [/tex]
Answer:
7/10
Step-by-step explanation:
If you move the decimal point to over to the right, also known as multiplying by a hundred, then you get 70. Right now we have 70/100
Simplify even further you would get 7 / 10
I WILL GIVE BRAINLIST!
Showthat (1+i)2 = 2i
Answer:
(1+i)2=2i
Step-by-step explanation:
Since the 2 is on the outside of the) then that means it is multiplying and if you multiply 1x2 it will equal.2
Then if you were to multiply 2 x the i it will get 2i then you add it to get 2i
Answer:
Use formula (a + b)² = a² + 2ab + b²
(1 + i)² =1² + 2*1*i + i² =1 + 2i + (-1) =2iComplete the steps for using a Area Model to solve 504 ÷ 14
//Please help this is my last thing
Answer: hc
Step-by-step explanation:
PLEASE, ANYONE, HELP!! I WILL GIVE BRAINLIEST IF YOU'RE CORRECT AND 20 POINTS!!
Answer:
-300
Step-by-step explanation:
z = -21/0.07
z = -300
Answer:
-300
Step-by-step explanation:
Divide -21 by 0.07 to get -300
Apply the distributive property to: 3(u+6)
Answer:
3u + 18
Step-by-step explanation:
times the 3 to both
Answer:
turn it into 3u+18
Step-by-step explanation:
20)
Rachael has two jobs. She earns $9 per hour babysitting, and she earns $12 per hour working at the coffeehouse.
Rachael wants to earn a minimum of $240. Which inequality represents this situation, if x represents hours babysitting
and y represents hours at the coffeehouse?
A)
12x + 9y <240
B)
9x + 12y > 240
0
12x + 9y s 240
D)
9x + 12y 2 240
Answer:
babysitting = $9
working at coffeehouse = $12
x = hours for babysitting
y = hours at coffeehouse
minimum = ≥
9x + 12y ≥ 240
Step-by-step explanation:
just a short note on which symbol you should use when you see these words in inequality questions:
i) use ≥
-more than or equal to
-not less than
-at least
-minimum
ii) use >
-more than
-greater than
iii) use ≤
-less than or equal to
-not more than
-at most
-maximum
iv) use <
-less than
The inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Rachael earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
x is the number of hours babysitting.
y is the number of hours at the coffee-house.
9x + 12y ≥ 240
Because, Rachael wants to earn a minimum of $240.
Thus, the inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
Learn more about the inequality here:
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HELP I'm running out of time
Answer:
VT, TU, UV.
Step-by-step explanation:
The smallest angle is always across from the shortest side. And the longest angle is always across from longest side.
a race car driver completes 30 laps in 15 minutes at a constant speed.
What's is the driver's speed?
Answer:
2 laps per second.
Step-by-step explanation:
30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.
3/10 divided by -3/7
Answer:
- 7/10
Step-by-step explanation:
There you go hope alls well.
Swedish researchers concluded that viewing and discussing art soothes the soul and helps relieve medical conditions such as high blood pressure and constipation. This conclusion was based on a study in which 10 elderly women gathered once a week to discuss different works of art. The study also included a control group of 10 elderly women who met once a week to discuss their hobbies and interests. At the end of 4 months, the art discussion group was found to have a more positive attitude, to have lower blood pressure, and to use fewer laxatives than the control group.(a) Why would it be important to determine if the researchers assigned the women participating in the study at random to one of the two groups?i) Assigning women at random ensures that the two groups are comparable.ii) Assigning women at random satisfies the conditions of a single-blind experiment. iii) Assigning women at random is not important for the study and can be neglected.(b) Explain why you think that the researchers included a control group in this study.i) A control group is absolutely unnecessary hereii) A control group allows the experiment to be conducted once more if the first attempt failed. iii) A control group is used to increase the size of the sampleiv) A control group provides a baseline for comparisons to determine treatment effects.
Answer:
i) Assigning women at random ensures that the two groups are comparable.
iv) A control group provides a baseline for comparisons to determine treatment effects.
Step-by-step explanation:
(a)
It is pertinent that there two comparable groups. In light of the fact that it will help in making better decisions since there will be some people who have blood pressure as a result of uncontrolled physical characteristics such as anger, positive attitude, lower blood pressure. etc Thus, there is a need to consider two equivalent groups.
(b)
A control group is used as a benchmark for determining the cause and effect of a treatment on a given experimental group. This may be in regard to the social aspect of meeting other individuals involved that make up the physical changes.