Answer:
10.50+10.50+7.95=$28.95
Janice is traveling at a constant rate. She traveled 243 miles on 9 gallons of gas and 324 miles on 12 gallons of gas. How many miles can Janice travel on one gallon of gas?
Divide total miles driven by number of gallons of gas used.
243 miles / 9 gallons = 27 miles per gallon
324 miles / 12 gallons = 27 miles per gallon.
She can drive 27 miles on one gallon of gas.
A candy company claims that 25% of the candies in its bags are colored green. Steve buys 32 bags of 32 candies, randomly selects one candy from each, and counts the number of green candies. If there are 7, 8, or 9 green candies, Steve will conclude that the company's claim is correct. What is the probability of Steve agreeing with the company's claim? Use Excel to find the probability.
Answer:
45.88%
Step-by-step explanation:
We have in this case a binomial distribution when p = 0.25, since the probability is 25%
. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.
In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:
P (X = 7) + P (X = 8) + P (X = 9)
Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)
P = 0.1546 + 0.1610 + 0.1431
P = 0.4588
Probability that steve agrees with the company's claim 45.88%
Find the area of a circle whose circumference is 24 pi.
Answer:
452.39 sq.unit is the area of that circle.
What is 1 10/21 + 4 5/7 these are fractions btw
Answer:
Exact form:
130/21
Decimal form:
6.190476 (repeating decimal)
Mixed number form:
6 4/21
I need 1-5 and 8 and 9 solved
Answer:
1. A
2. H
3.B
4. H
5. A
Those are the answers
Step-by-step explanation:
1. 30 - 2(-8)= 46
2. BODMAS applied 6-7 =-1
3. 45/-5=-9
4. Sum is h +73
5.BODMAS applied 60 /6 = 10
The surface area of a cone is given by the formula S = pi*t + pi * r ^ 2 the formula for LSlant height ( l = S - r ^ 2 l = S + r ^ 2 0 l = s/pi - r ^ 2 0 l = 5/pi + r ^ 2
Answer:
[tex]l = \frac{S}{\pi r} - r[/tex]
Step-by-step explanation:
Given the surface area of a cone expressed as S = [tex]\pi r^{2} +\pi rl[/tex] where r is the radius of the cone and 'l' is its slant height. To find the slant height from the formula, we will make l the subject of the formula as shown;
[tex]S = \pi r^{2} + \pi rl\\S = \pi r (r + l)\\\frac{S}{\pi r} = r+l\\l = \frac{S}{\pi r} - r\\[/tex]
The final expression gives the value of the slant height.
Answer: l=s/3.14-r2
Step-by-step explanation:
did it on Edg and the 3.14 i’d supposed to be the symbol for pi hope it helps :)
Make v the subject of the relation KE = ½mv²
Answer:
[tex]v=\sqrt{\frac{2KE}{m} }[/tex]
Step-by-step explanation:
[tex]KE = 1/2mv^2[/tex]
[tex]KE/1/2=mv^2[/tex]
[tex]2KE=mv^2[/tex]
[tex]2KE/m=v^2[/tex]
[tex]\sqrt{2KE/m} =v[/tex]
E is between D and F. DE = 4x + 2, EF = 3x, and DF = 16.
Answer:
x=2
Step-by-step explanation:
DE=4x+2, EF=3x, and DF=16
DE=4(2)+2, EF=3(2), and DF=16
DE=10, EF=6, and DF=16
Howard needs new gutters for the front and both sides of his home. The front of the house is 50 ft 8 in., and each side is 22 ft 9 in. Wide. What length of gutter must he buy?
Answer:
95 ft 10 in
Step-by-step explanation:
We need to add the lengths of the front of the house and both sides of the house:
50 ft 8 in + 2(22ft + 9in)
= 50ft + 8 in + 44ft + 18in
= 94ft + 22in
12 inches = 1 foot
22 inches = 1 ft 10 in
Therefore, the length of the gutter he must buy must be:
94 ft + 1 ft + 10 in
= 95 ft 10 in
Harry's soccer team is trying to raise $2520 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $15 for the breakfast. How many people need to attend their breakfast in order to raise $2520?
Answer: 168 people have to attend
Step-by-step explanation: 2520÷15= 168...just divide it to get it, if it help pls mark as brainliest ^-^, Thank you!
What is the value of (16^3/2)^1/2
Answer:
8
Step-by-step explanation:
(16^3/2)^1/2
We know that a^ b^c = a^(b*c)
16 ^(3/2*1/2)
16 ^3/4
Now rewriting 16 as 2^4
2^4^3/4
2 ^ (4*3/4)
2^3
8
What is the area?
7 m
4 m
square meters?
Answer:
28 square meters
Step-by-step explanation:
7 x 4= 28
28 square meters
Q5. Find the simple interest on $950 at 6% per annum for three years.
Answer:
$171
Step-by-step explanation:
=PRN
950×0.06×3
hope this helps and makes sense :))
Answer:
$171
Step-by-step explanation:
SI=950×6×3/100
=$171
HOPE IT HELPS
Find the value of x.
Answer:
98 °
Step-by-step explanation:
We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98
Find the volume of a cone with a height of 9 cm and a base of 5 cm
Answer:
V=πr2h
3
Step-by-step explanation:
Answer:
15 cm³
Step-by-step explanation:
The formula for the volume of a cone is:
V = πr²h /3
where r is the radius and h is the height
Let's substitute the given values into this equation:
V = πr²h /3
(Remember that the base of a cone is a circle and the formula for the area of a circle is πr²)
V = πr²h /3
V = (5)(9/3)
Solve:
V = (5)(9/3)
V = (5)(3)
V = 15
Therefore, the volume of the cone is 15 cubic centimeters.
___ x 0.1 = 15. Please help!
Answer:
Step-by-step explanation:
a x 0.1 = 15
.1a = 15
a = 15/0.1
a = 150
Answer:
The answer is 150
Step-by-step explanation:
You would have to mutiply 0.1, 150 times. Then you would get 15.
Hope this helps
brainliest if correct :)
A data set consists of the following data points:
(2,4),(4,7), (5,12)
The line of best fit has the equation y = 2.5x - 1.5. What does
predict for a value of x = 3?
O
A. 7.5
B. 6
C. 10.5
O D. 9
SUSMIT
< PREVIOUS
Answer:
B. 6.
Step-by-step explanation:
When x = 3 the prediction is 2.5(3) - 1.5
= 6.
The value of y at x = 3 is,
⇒ y = 6.0
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
A data set consists of the following data points:
⇒ (2, 4),(4, 7), (5, 12)
And, The line of best fit has the equation;
⇒ y = 2.5x - 1.5.
Now, At x = 3;
⇒ y = 2.5x - 1.5.
⇒ y = 2.5 × 3 - 1.5.
⇒ y = 7.5 - 1.5
⇒ y = 6.0
Thus, The value of y at x = 3 is,
⇒ y = 6.0
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
square root of 0.8722 by division method
This is not a perfect square
FOR 14 points! A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies? Which equation represents the scenario? How many people went to the movies?
x = number of people went to movies
equation
6.25x + 12 = 30.75
6.25x = 30.75 - 12
6.25x = 18.75
x = 18.75 / 6.25
x = 3
answer
3 people
Answer:
6.25x + 12 = 30.75
3 people
Step-by-step explanation:
A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary
Answer:
$839.95
Step-by-step explanation:
The dining set costs 785.
The sale tax is 7%
This means that the tax costs 7% of 785.
Sales tax: 785*0.07=54.95
Add to original price to find the total price.
54.95+785=839.95
The cost to purchase the dining set is $839.95
Answer:
835.95
Step-by-step explanation:
Each of the letters in the word MONASTIC are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will be "A"?
show work pls!
Answer:
1/8 = 12.5%
Step-by-step explanation:
There are 8 letters in the word MONASTIC. One of the letters is A.
So the probability is 1/8, or 12.5%.
Please answer CORRECTLY !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!
Answer:
Option C
Step-by-step explanation:
f(x)= x²-9 ⇒ It has roots 3 and -3g(x) has roots 2 and 10 as per the graphCorrect answer is option C
I had $5.00 My Mom gave me $10.00 while my Dad gave me $30.00. My Aunt and Uncle gave me 100.00. I had another $5.00 How much money did i really have?
Answer:
$150
Step-by-step explanation:
5+10+30+100+5=150
10
Step-by-step explanation:
The way I look at it I think 10.00 cause it says I had in the beginning k and it says what people gave me and at the end it says what I had as well so I had 5.00 in the beginning and then I had another 5.00 so that makes it 10.00 in all realatly really let me know if I'm right as it's the only thing that makes since with it all..... lol so the answer is 10.00.... so if it would of said how much do I have all together then it would be what my granddaughter said but it didn't. It's a tricky question here and a good one to get people thinking on it haaa haaa
8. ¿Cuál es la media de las calificaciones de los alumnos de quin-
to grado?
9, 9, 6, 8, 7, 9, 7, 6, 8,9, 8, 6, 7
a) 6.98
b) 7.75
c) 7.61
d) 9.03
Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, an identical watch costs £145. Given that £1=1.55CHF a) In which city is the watch cheaper. b) By how much is it cheaper (in £) i need help on part b , pleeeeaseeee help;(
Answer:
The watch is cheaper in Geneva, Switzerland by a value of £20
Step-by-step explanation:
To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.
Since pounds is also used in the b part of the question, it would be easier working with it.
In Geneva, the price of the watch is 193.75 CHF
from our conversion formula;
£1 = 1.55 CHF
£x = 193.75 CHF
We cross multiply to get the value of x
(193.75 * 1)/1.55
= 193.75/1.55 = £125
We can see that the watch costs less in Geneva and higher in Manchester
By how much is it cheaper?
We can calculate this by subtracting the value in Geneva from the value in Manchester
That would be 145-125 = £20 cheaper
Please help meeeeeeee only answered this if you know geometry
Answer:
Step-by-step explanation:
AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.
If f(x) = 3x - 2 and g(x) = x2 +1, find (*+g)(x).
A. x2 + 3x-1
B. x2 +3x+1
C. 4x7-1
D. 2x+3
Answer:
A
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
x = 11
Step-by-step explanation:
(-x + 11)(x + 3)= 0
-x + 1 1 = 0 or x+3 = 0
-x = -11 or x = -3
x=11 or x=-3 (rejected cos negative)
what is the sum of this expression. 4 3/8 + 7 3/4
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
[tex]\frac{97}{8}[/tex]
A photographer takes a picture of a train travelling at the speed of 40m/s.If the camera takes 0.01sec to take picture,how far did the train travel in this time?
Answer: 0.4m
Step-by-step explanation:
From the question, photographer takes a picture of a train travelling at the speed of 40m/s and the camera takes 0.01sec to take picture. We want to know the distance that the train travelled in this time.
Distance = speed × time
Distance = 40m/s × 0.01s
= 0.4m
