Answer:
21+3x
Step-by-step explanation:
multiply the 3 by everything inside the parentheses
Maria needs 23 ounces of water and 57 gallons of milk. The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99. If The water is supposed to be measured in ounces how many ounces is the milk going to be measured in and how much would it cost,
Given :
Maria needs 23 ounces of water and 57 gallons of milk.
The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99.
To Find :
How many ounces is the milk going to be measured in and how much would it cost.
Solution :
We know, 1 gallon = 128 ounces.
So, 57 gallon of milk = 57×128 = 7296 ounces.
Cost of 1 gallon milk = $9.20 .
So, cost of 57 gallon is = 57×9.20 = $524.4
Therefore, volume in ounces is 7296 and cost is $524.4 .
Hence, this is the required solution.
A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?
Answer:
170
Step-by-step explanation:
you have to set up a proportion and cross multiply.
[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]
that would cross multiply to
[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]
which would simplify to
[tex]1020 = 6x[/tex]
then, you isolate x by dividing 6 from both sides to get the final answer of
[tex]170 \: miles = x[/tex]
If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n).
pth term of an AP = q
qth term = p
Prove:nth term of A.P. is (p+q-n).
Proof:We know that,
nth term of an AP (an) = a + (n - 1)d
Hence,
⟹ a + (p - 1)d = q
⟹ a + pd - d = q
⟹ a = q - pd + d -- equation (1)
Similarly,
⟹ a + (q - 1)d = p
Substitute the value of a from equation (1).
⟹ q - pd + d + qd - d = p
⟹ qd - pd = p - q
⟹ - d(p - q) = p - q
⟹ - d = 1
⟹ d = - 1
Substitute the value of d in equation (1).
⟹ a = q - p( - 1) + ( - 1)
⟹ a = q + p - 1
Now,
an = q + p - 1 + (n - 1)( - 1)
⟹ an = q + p - 1 - n + 1
⟹ an = p + q - n
Hence, Proved.
I hope it will help you.
Regards.
Step-by-step explanation:
ANSWER
pth term = q
a+(p−1)d=q
qth term = p
a+(q−1)d=p
Solving these equations, we get,
d=−1
a=(p+q−1)
Thus,
nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)
4. Evaluate the following expression for r= 5.
2(r2 - 8)
Answer:
The expression is equal to 4
Step-by-step explanation:
Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:
2(r2-8) =
2(2(r)-8),
2(2(5)-8),
2(10-8),
2(2),
4
The side length of the square shown is tripled.
3 cm
Which percent of increase is greater the percent of increase for the perimeter of the square or the percent of increase for the area? How
much greater?
The percent of increase for the
is greater
It is
% greater
Answer:
The percentage increase for the area is greater
It is 600% greater
Step-by-step explanation:
Here, we have a square of side length 3 cm
The area of the square is L^2 = 3^2 = 9 cm^2
Perimeter of the square = 4L = 4 * 3 = 12 cm
When we triple the length of the square, its new length becomes 3 * 3 = 9 cm
Area here will be 9 * 9 = 81 cm^2
Perimeter = 4 L = 4 * 9 = 36cm
To calculate percentage change, we use the formula;
(new value - old value)/old value * 100%
For the perimeter;
(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%
For the area;
(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%
The percentage increase of the area is greater
How much greater? 800% - 200% = 600%
The sum of three numbers is 36. The first number is two times the second number, and the second number is
four less than the third number. What are the numbers?
o (8, 12, 16)
12<8, 16)
(12, 16,8)
o (16, 8, 12)
Please help out
Answer:
o (16, 8, 12)
Step-by-step explanation:
1st number: 8*2 =16
2nd number:12-4=8
3rd number: given
Answer:
16,8,12
Step-by-step explanation:
its 16,8,12 because:
8x2=16
12-4=8
youre welcome
A 2×2 square is divided into four 1×1 squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.
Answer:
2
Step-by-step explanation:
Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.
Each of the small squares is to be painted either green or red
The total numbers of the possible cases are:
(1) The number of cases if there is no green color square = 1 (all red)
(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).
(3) The number of cases if there is 2 green color square = 2+4=6 as
for diagonal positions: 2 which are (1G,3G), (2G,4G).for non-diagonal positions:4 which are (1G,2G), (1G,4G), (2G,3G), (3G,4G)(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).
(5) The number of cases if there is 4 green color square = 1 (all green)
So, the total numbers of possible cases = 1+4+6+4+1=16.
Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)
So, the total numbers of favorable cases = 2
Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.
I listed possibilities:
1 Green Square:
RG
RR
2 Green Squares:
RG
RG
GG
RR
3 Green Squares
GG
RG
4 Green Squares
GG
GG
0 Green Squares
RR
RR
Find all solutions to 3x2 + 2x + 1 = 0
Answer:
x = -3.5
Step-by-step explanation:
3 x 2 + 2x + 1 = 0
6 + 2x + 1 = 0
2x + 7 = 0
2x = -7
x = -7/2 = -3.5
Hope this helped! If not, please let me know! <3
Which pairs of numbers have a greatest common factor of 9
Answer:
81 and 72
Step-by-step explanation:
Answer:
81 and 72
Step-by-step explanation:
How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?
Answer:
about 3000
Step-by-step explanation:
Graph 3x−y=6.
Use the line tool and select two points on the line.
Answer:
Plot point -6 and 2 and just keep making the line straight off the graph I think this should help
Step-by-step explanation:
Write two hundred twenty-two and six thousand five hundred seventeen ten-thousandths as a decimal number.
Answer:
222.617
Step-by-step explanation:
Subtract.
(2 + 7i)-(3-8i)
HELPPP me pleaseeeeeeeeeee
Answer: Y=104
Step-by-step explanation: Angle 1 is 2x which means it is 76, 180-76 gives you 104
Which statement about the lines below is true? 4y=-16 and 3x=27
Answer:
4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer
Step-by-step explanation:
Only smart bros answer
Answer:
9 :/
Step-by-step explanation:
Answer:9
Step-by-step explanation:
3x9=27
27 divided by 3=9
1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
Jocelyn bought 11 chicken wings for $18.70. What was the cost of the wings, in dollars per wing?
Answer:
$1.70 per wing
Step-by-step explanation:
To find the cost per wing, take the total cost and divide by the number of wings
18.70/11
$1.70 per wing
A. The point (3.5, 210) is on the graph. Explain what this means in terms of the car.
B. Is the point (1, 60) on this graph? Yes or no. Explain how you know
Answer/Step-by-step explanation:
A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.
B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.
Calculating slope of the line using (3.5, 210) and (5, 300):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} [/tex]
[tex] slope(m) = \frac{90}{1.5} [/tex]
[tex] slope(m) = 60 [/tex]
Calculating the rate of change (slope) between (1, 60) and (3.5, 210):
[tex] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} [/tex]
[tex] = \frac{150}{2.5} = 60 [/tex]
Rate of change (slope) = 60
Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.
The answer is, YES.
Robert conducts an experiment to measure the temperature of a solution. Due to a defect in the apparatus, the temperature of the solution measured in each trial is 5°F more or less than the theoretical temperature of 11°F of the solution.
The following absolute value equation can be used to determine the temperature of the solution measured by Robert:
|x − 11| = 5.
Here, x represents the measured temperature of the solution in degrees Fahrenheit.
Based on the above information, what is the temperature of the solution as measured by Robert?
A.
The temperature of the solution measured by Robert is 5°F or 6°F.
B.
The temperature of the solution measured by Robert is -6°F or 6°F.
C.
The temperature of the solution measured by Robert is -6°F or -16°F.
D.
The temperature of the solution measured by Robert is 16°F or 6°F.
simplify show your work
HELP IM TIMED ROUND THE FACTOT AND ESTIMATE THE PRODUCT FOR EACH ONE
Answer:
The second one is 3,000 x 8,000 = 24,000,000 The first one is 700 x 100 = 70,000 then the third is 400 x 9,000 = 6,600,000 And the last is 9,000 x 57,000 = 513,000,000
Step-by-step explanation:
Write 73.5 as a mixed number.
I need this please fast!!!!!
Answer:
∠BEC = 54°
Step-by-step explanation:
ED and EA are opposite rays, which means that they form a straight angle.
Straight angle = 180°
Which means that,
∠AEB + ∠BEC +∠DEC = ∠AED
This is the equation we are going to use,
We also know that ∠CED = 72°
We know that BE bisects ∠AEC
Know, we know that ∠AEB = (7x - 2)°
That means ∠BEC = (7x - 2)° - This is because ∠AEB = ∠BEC
=>(7x - 2)° + (7x - 2)° + 72° = 180°
=> (14x - 4)° + 72° = 180°
=> (14x - 4)° = 180° - 72°
=> (14x - 4)° = 108°
=> 14x = 108° + 4°
=> 14x = 112°
=> x = (112 / 14)°
=> x = 8°
So, know we can find ∠BEC
(7x - 2)°
=> (7 * 8 - 2)°
=> (56 - 2)°
=> 54°
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?
Answer
42.66
Step-by-step explanation:
each foot is 5.33 so 5.33 x 8 is 42.66
can anybody help me know the Pythagorean theorem
Answer:
[tex]8^{2} +U^{2} =17^{2}[/tex]
solve the squared numbers
[tex]8^{2} =64[/tex]
[tex]17^{2} =225[/tex]
[tex]64+U^{2} =225[/tex]
subtract 64 from 289
[tex]U^{2} =225[/tex]
square root 225
[tex]U=[/tex][tex]\sqrt{225}[/tex]
simplify that
[tex]U=[/tex][tex]\sqrt{15^2}[/tex]
[tex]U= 15[/tex]
Write the equation of the line that passes through the given points.
(0,4) and (5,10)
Answer: y = 6/5x + 4
Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.
What is the coefficient of the term below?
– 5x²yt
Enterlu
-
Answer:
The coefficient is: *-5*
in the -5x.
Step-by-step explanation:
mark the error / s es de moninomios
9514 1404 393
Answer:
2x²2y³ -- Coefficiente: +4
5xy -- Grado: 2
-5x⁴y -- Grado: 5
Step-by-step explanation:
The coefficient of the literal part is the product of all of the numerical factors in the term.
2x²2y³ = (2·2)x²y³ = 4x²y³ . . . . the coefficient is 4
As in the upper left box, the degree of the term is the sum of the exponents of the literals.
5xy has a degree of 1+1 = 2
-5x⁴y has a degree of 4+1 = 5
__
The remaining descriptions are correct.
ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?
Answer:hope it helps,
Step-by-step explanation: