Find the equation of the line
Y=__x + __
A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and the third route is 1512 miles long. What is the total number of miles the delivery truck drives? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ miles
Answer:
[tex]Total = 38\frac{11}{12}\ miles[/tex]
Step-by-step explanation:
Given
[tex]First\ Route = 12\frac{2}{3}\ miles[/tex]
[tex]Second\ Route = 10\frac{3}{4}\ miles[/tex]
[tex]Third\ Route = 15\frac{1}{2}\ miles[/tex]
Required
Determine the total miles
[tex]Total = First\ Route + Second\ Route + Third\ Route[/tex]
[tex]Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}[/tex]
Convert to improper fractions
[tex]Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}[/tex]
Take LCM
[tex]Total = \frac{152 + 129 + 186}{12}[/tex]
[tex]Total = \frac{467}{12}[/tex]
[tex]Total = 38\frac{11}{12}\ miles[/tex]
Part A
find the area of the given figure
Answer:
where is the figure
Step-by-step explanation:
.A bucket is filled with 1 3/4 gallons of water. The bucket has a small hole and 1/4 gallon leaks out every hour. How many hours will it take for the bucket to be completely empty? What must you do to the mixed number in order to solve this problem?
Given :
A bucket is filled with 1 3/4 gallons of water.
The bucket has a small hole and 1/4 gallon leaks out every hour.
To Find :
How many hours will it take for the bucket to be completely empty.
Solution :
We know , mixed fraction of form a p/q is given by :
[tex]a\ p/q = \dfrac{(a\times q)+p}{q}[/tex]
So, 1 3/4 = 7/4 .
Let, after t hours bucket is empty.
[tex]\dfrac{7}{4}-\dfrac{1}{4}t = 0\\\\t = 7\ hour[/tex]
Therefore, it takes 7 hours for the bucket to be completely empty.
Hence, this is the required solution.
7/3 ×3/8=
I REALLY NEED HELP
Answer:
0.875 or 7/8
Step-by-step explanation:
I put it in a calculator
Answer:
the answer is 7/8
Step-by-step explanation:
7/3 ×3/8 =7/8
if 3 times a number added to 2 is divided by the number plus 9 the result is 5 halves. find the number
Answer:
2/7
Step-by-step explanation:
The product of three and a number is thirty
Answer:
10
Step-by-step explanation:
3 times 10 equals 30
Plz Help and Thank you :/
Answer:
I believe c is correct
i need help please!!!!
Answer:
1/12 i hope this is correct i think so i did it in my calculator so i hope it helps
Step-by-step explanation:
Ten oranges are to be shared between two boys in the ratio 1:4 how many will each boy get
Answer:
2 and 8
Step-by-step explanation:
Well. Boy A gets 1 orange, so the other must get 4. So say boy A gets 2 oranges now, so the other must get also double the amount of oranges, which is 8.
1:4
If you changed the 1 to a 2, you have x2 (you can only x or ÷, in ratio) on the other side. Whatever you do to this side, you do to the other side. So it becomes
2:8
Add the numbers together to find the total number of parts. You get 10 in this ratio, so it must be the answer.
One-third of a number decreased by six equals eight. What is the number?
6
14
24
042
It's 42.
The equation would be 1/3n - 6 = 8.
Just plug in each number in the place of 'n' then see what actually equals 8.
If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?
Answer:
x - 5 and 2x + 3Step-by-step explanation:
GivenArea of rectangle = 2x^2 - 7x - 15To findDimensions of rectangleSolutionSince the area is the product of the sides, let's try to factorize the given:
2x^2 - 7x - 15= 2x^2 - 10x + 3x - 15 =2x(x - 5) + 3(x - 5) =(x - 5)(2x + 3)So the dimensions are:
x - 5 and 2x + 3Last year 42 new houses were built in a neighborhood. So far this year 5/7 of them have been sold. How many new houses have been sold this year?
Answer:
30
hope this helps.
Answer:
35 houses
Step-by-step explanation:
pls help!! 15 points! What are the minimum and maximum values of t for which |t + 3| ≤ 2?
Minimum=
Maximum=
Answer:
Minimum: x<-1
Maximum: x> 1
both are also equal to i just don’t have the sign
Kenneth is 10 years older than Andrew. Billy is 2 times as old as Andrew. Cameron is 8 years younger than Andrew. The combined age of the four is 77. How old is each boy?
Answer:
[tex]a=15\\b=30\\c=7\\k=25[/tex]
Step-by-step explanation:
[tex]77=a+k+b+c[/tex]
[tex]b=2a[/tex]
[tex]c=a-8[/tex]
[tex]k=10+a[/tex]
[tex]77= a+2a+(a-8)+(a+10)[/tex]
[tex]77=3a+(2a+2)\\77-2=3a+2a\\75=5a\\[/tex]
what is 11x11 ????????????????????
Answer:
121
Step-by-step explanation:
11 x 11
this is what goes on in my head you don't have to this but this is what i do
10 x 10 = 100
10 x 1 = 10
1 x 10 = 10
1 x 1 = 1
100 + 10 + 10 + 1 = 121
The product of the numbers 11 with 11 is 121.
Given are the numbers 11 and 11.
We have to find the product of these numbers.
This can be found in various ways.
We can study the perfect squares from 1 to 20 to know it fast.
Else you can use normal multiplication.
Or another method is,
Split both 11 as 10 and 1 and then find the product with each.
10 × 10 = 100
Then find 10 with 1.
10 × 1 = 10
Then find 1 with 10.
1 × 10 = 10
Then find 1 with 1.
1 × 1 = 1
Total is 100 + 10 + 10 + 1 = 121
Hence the number is 121.
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Length breadth and height of a room are 5 metre 4 metre and 4 metre Calculate its area
Answer:
Area = L x B
= 5m x 4m =20m square
Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away? StartFraction 6 over 203 EndFraction StartFraction 1 over 27 EndFraction StartFraction 3 over 29 EndFraction StartFraction 1 over 9 EndFraction
Given:
Total of raffle tickets = 30
Number of tickets Jason bought = 10
Number of prizes = 3
To find:
The probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away.
Solution:
Total of raffle tickets = 30
Number of prizes = 3
So, number of total outcomes is
[tex]n(S)=^{30}C_3[/tex]
Number of tickets Jason bought = 10
So, number of favorable outcomes is
[tex]n(A)=^{10}C_3[/tex]
Now,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{n(A)}{n(S)}[/tex]
[tex]\text{Probability}=\dfrac{^{10}C_3}{^{30}C_3}[/tex]
[tex]\text{Probability}=\dfrac{\dfrac{10!}{(10-3)!3!}}{\dfrac{30!}{(30-3)!3!}}[/tex]
[tex]\text{Probability}=\dfrac{10\times 9\times 8\times 7!}{7!3!}\times\dfrac{27!3!}{30\times 29\times 28\times 27!}[/tex]
[tex]\text{Probability}=\dfrac{10\times 9\times 8}{30\times 29\times 28}[/tex]
[tex]\text{Probability}=\dfrac{6}{203}[/tex]
Therefore, the correct option is A.
Answer:
The correct answer is A. 6/203
The table below shows the cost per pound of different vegetables.
Prices of Vegetables
Vegetable
Cost (per pound)
Potatoes
$3.89
Squash
$4.68
Carrots
$1.67
Cucumbers
$2.59
What is the estimated cost for 7.8 pounds of potatoes?
$16
$24
$32
$40
Answer:
16
Step-by-step explanation:
i got it right on the test
Answer:
16...
hope, it helps! x
What is the value of x in the equation (4x – 1) - 3x =
<= -(x + 2)?
1 3 19
16 16 16
3
X =
Answer:
Step-by-step explanation:
x − 1. _. 3. = 3 by 3 gives x − 1 = 9 and then adding 1 to both sides of x − 1 = 9 gives x = 10. Choices A, B ... written as the equation 16 + 4x = 10 + 14, which is equivalent to 16 + 4x = 24. Subtracting
Find the measure of the missing angles.
Answer:
d = 103
e = 22
f = 55
Step-by-step explanation:
ok so the angles on the other side 22 and 103 are equal to 2 of the angles on the other side
the whole line is equal to 180
103 + 22 = 125
180 - 125 = 55
d = 103
e = 22
f = 55
Answer:
d = 103
e= 22
f= 55
Step-by-step explanation:
the opposite side of d equals 103 and they are adjacent which means they have the same measure
same goes to e the opposite side of it equals 22
and then for f a full line measure equals 180
so 103+22= 125
180-125= 55
there you have it :)
HELLLPP!!!!
Which series of transformations will move the triangle in quadrant 1 onto the similar triangle in quadrant three?
Answer:
Its D if you think about it
Step-by-step explanation:in your mind move the triangle on the top right down 6 units and then turn your triangle 90 degrees counter clockwise (quick maths)
The only transformation that will move the triangle in quadrant 1 onto the similar triangle in quadrant three is;
Option D; translation 6 units down and rotation 90° counterclockwise
The y-coordinate of the right angle vertex of the triangle in quadrant 1 is y = -2. Meanwhile the y-coordinate of the same right angle point of the triangle in quadrant 3 is y = -4.
Thus, for the triangle in quadrant 1 to be on the same level with that in quadrant 3, we need to translate the triangle in quadrant 1 downwards by 6 units.
Now, since we want to map this newly translated triangle to the one in quadrant 3 and as such we need to rotate it 90° counterclockwise
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Korie randomly selects a number from the numbers shown below 54, 60, 11, 0, 5, 7, 20
what is the probability that the number she selected is an even number
Answer:
I think its 3 out of 7
Graph the equation y(1/2)x using the stope and y-intercept
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Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent. The lid on Scott's container can hold 3 fluid ounces of detergent, while the lid on Nikki's container can hold 4 fluid ounces of detergent. How many more lids full of detergent does Scott have than Nikki? 10 lids 16 lids 48 lids 64 lids
Given:
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent.
Lid on Scott's container can hold 3 fluid ounces of detergent.
Lid on Nikki's container can hold 4 fluid ounces of detergent.
To find:
The number of lids full of detergent Scott have more than Nikki.
Solution:
We know that,
1 gallon = 128 fluid ounces
1.5 gallon = 192 fluid ounces
Lid on Scott's container can hold 3 fluid ounces of detergent. So, number of lids full of detergent Scott have is
[tex]\dfrac{192}{3}=64[/tex]
Lid on Nikki's container can hold 4 fluid ounces of detergent. So, number of lids full of detergent Nikki have is
[tex]\dfrac{192}{4}=48[/tex]
Difference between number of lids is
[tex]64-48=16[/tex]
Therefore, Scott have 16 lids more than Nikki. Hence, the correct option is B.
Answer: it is 16
Step-by-step explanation:
why do terms have to be like terms?
Answer:
Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.
5x999 dghdiuhfuidfuewyf
Answer:
5x999 urfiwbyginwgf fjkwfg8
Step-by-step explanation:
you take the 5 by x by 999 and kvbbci then you are supposed to uibjouwfbc by owihefojw and oiwhjwnfwfb
Answer:
4995
Step-by-step explanation:
Because
999
x 5
4995
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Hurry this is due in a couple of minutes!!!!!
Answer:
1. 1:1500
2. 1500 times
Step-by-step explanation:
1 foot=12 in.
500*12=6000
4:6000=1:1500
Every few years, Brendan's entire family gets together for a family reunion. This year,
Brendan's parents are hosting, and they have to cook a lot of food to feed the crowd.
Brendan has volunteered to do the most tedious job:
shelling peas.
There is a proportional relationship between the amount of time (in
minutes)
Brendan spends shelling peas, x, and the weight (in pounds) of the peas he has shelled,
у
х
y
(minutes) (pounds)
2
1
4
2
6
3
12
6
What is the constant of proportionality? My
Answer:
k = 0.5
Step-by-step explanation:
There is a proportional relationship between the amount of time in shelling peas 'x' and the weight of the peas 'y'.
Therefore, y ∝ x
⇒ y = kx
Here, k = proportionality constant
From the given table,
If family spends the time 2 minutes (x-value) in shelling 1 pound of peas (y-value),
1 = k × 2
k = [tex]\frac{1}{2}[/tex]
k = 0.5
Therefore, proportionality constant for the relationship is 0.5.
93 is what percent of 620?
%
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation: