Answer:
The unit rate for miles per gallon is 30 3/5
miles per gallon
Step-by-step explanation:
To get the unit rate for miles per gallon, we simply divide the number of moles by the amount of gallons
Number of miles is 38 1/2 which is 77/2 miles
Number of gallons = 1 1/4 = 5/4
So unit rate will be;
77/2 divided by 5/4
= 77/2 * 4/5 = 154/5 = 30 3/5 miles per gallon
John is 5 years older than Randy. Oscar is twice as old as Randy. How old are each of the three boys is the sum of their ages is 85?
Please help I’m extremely confused!!!! (Worth 40 points)
Answer:
0.025
Step-by-step explanation:
Answer:
0.029
Step-by-step explanation:
1 milligram is equivalent to 0.001 grams, so 29*0.001=0.029.
If B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14, then what is the length of AB?
Answer:
The length of AB: 34
Step-by-step explanation:
What are we given?
B = Midpoint of AC
AB = 8x + 2
BC = 5x + 14
|--------------|--------------|
A B C
(This is what your line would look like)
Our equation would be:
AB + BC = AC
(8x + 2) = (5x + 14)
(AB) = (BC)
(Assuming that our line and points are evenly spread out, we can say that they can equal each other)
8x + 2 = 5x +14
- 5x- 2 = -5x -2
---------------------
3x = 12
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
---------------------
x = 4
1) Substitute
(8x + 2) + (5x + 14) = AC
(AB) + ( BC) = AC
AB = 8(4) + 2
32 + 2
= 34
BC = 5(4) + 14 =
20 + 14
= 34
(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)
The length of the line segment AB is 34 units.
Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.
What is the midpoint of line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.
Since, B is the midpoint of AC
AB=BC
8x + 2=5x+14
Subtract 5x on both sides of the equation, that is
8x+2-5x=5x+14-5x
⇒ 3x+2 = 14
Transpose 2 to other side of the equation, we get
3x = 14 - 2
⇒ 3x=12
Transpose 3 to other side of the equation, we get
x=4
So, AB=8x+2
=8×4+2
=32+2=34 units
Therefore, the length of the line segment AB is 34 units.
To learn more about the line segment visit:
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BRAINLIEST PLEASEEEE HELP DUE IN 3hrs Can someone help me with this
Answer:
Step-by-step explanation:
14: k^-3/k^4= 1/k^7
15: answer : 1/3²
16: n^-4
17: f-g^4 = 3-(-5)^4 = -622
18: (x^5-y^2)²+x³ =
(2^5-8^2)²+2³ =1032
19: m²-n³
6²-2³ = 36-8=28
20 : 2²×3²×5³= 4500
4500/10 = 450 islands
5 less than triple the quotient of a number x and 7
Answer:
5 less than triple the quotient of a number x and 7 is 3(x ÷ 7) - 5
Find the percent of decrease. Round to the nearest whole percent.
old: 374 boxes; new: 130 boxes
Answer:
B
Step-by-step explanation:
[tex]\frac{3}{5} /8[/tex]
Answer:
[tex]\huge\boxed{\frac{\frac{3}{5}}{8}=\dfrac{3}{40}}[/tex]
Step-by-step explanation:
[tex]\dfrac{a}{b}=a:b\\\\a:b=a\cdot\dfrac{1}{b}\\\\========================\\\\\dfrac{\frac{3}{5}}{8}=\dfrac{3}{5}:8=\dfrac{3}{5}\cdot\dfrac{1}{8}=\dfrac{3\cdot1}{5\cdot8}=\dfrac{3}{40}[/tex]
Jenny and her children went to the SeaWorld.She purchased adult ticket for herself and children tickets for her 2 boys. Tickets cost $39.99 for one adult and $19.99 for each child. Let x represent the number of adult ticket purchase and y represent the number of child tickets purchase. Write an expression to represent the total cost of the tickets Jenny purchased
Given:
She purchased adult ticket for herself and children tickets for her 2 boys.
Cost of one adult ticket = $39.99
Cost of one child ticket = $19.99
To find:
The expression to represent the total cost of the tickets Jenny purchased.
Solution:
Let x represent the number of adult ticket purchase
and y represent the number of child tickets purchase.
Cost of one adult ticket = $39.99
Cost of one child ticket = $19.99
Total cost = 39.99x + 19.99y
Therefore, the expression for total cost is 39.99x + 19.99y.
She purchased one adult ticket and 2 child tickets.
Substitute x=1 and y=2 in the above expression.
Total cost = 39.99(1) + 19.99(2)
= 39.99 + 39.98
= 79.97
Therefore, the required expression to represent the total cost of the tickets Jenny purchased is 39.99(1) + 19.99(2) and total cost is $79.97.
Divide £506 in the ratio 2:4:5
•£92, £184 and £230
•£92, £184 and £240
•£92 , £180, £234
Answer:
2x+4x+5x=506
11x=506
x=46
92:184:230
tavon has a $50 gift card that loses $2 for each 30-day period it isnt used. he has a $40 card that loses $1.50 for each 30-day period day it is not used. write and solve an equation to determine the number of 30-day periods until the value of the gift cards will be equal. what will the value of each card be when they have equal value?
Answer:
bmbmvm mbxmvxkbxkhxkbxkhxkhxkhxkhxkbxkhxkgx୮୬୩୭୪୨୭୪୨୭୨୭୨୭୪୭୪
Answer:
Answer:
Let the number of 30 day period be = p
Step-by-step explanation:
part b= So, there will be 20 30-day periods until the cards will be equal in value. The answer is $10
29.8 is 10 times as much as what
Answer:
298
Step-by-step explanation:
29.8 is 10 times as much as 298
The required proportion value is 2.98 which is equal to one-tenth of 29.8.
Given that,
To determine 29.8 is 10 times as much as a number.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number be x,
According to the question.
29.8 = x10
x = 29.8 / 10x
x = 2.98
Thus, the required proportion value is 2.98 which is equal to one-tenth of 29.8.
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an auto mechanic earns $498.75 in 35 hours during the week. his pay is $2.50 more per hour on weekends. if he works 6 hours on the week, how much does he earn?
Answer:
100.5
Step-by-step explanation:
divide 498.75 by 35
whatever you get from that add 2.50
then times it by 6
I really need help with the last one if you could help it would be awesome! Tysm.
it’s the second one..................
3n - 7m for n = 5 amd m = 4
Answer:
-13
Step-by-step explanation:
first you will subsitute 5 for n in the equation to get 3(5)-7m
next you will subsitute 4 for m in the equation to get 3(5)-7(4)
then solve: 3x5= 15
7x4= 28
15-28= -13
Plz help me quickly
what is the product of 9⋅(−4)⋅(−4)⋅(−7)
A. −1008
B. −252
C. 252
D. 1008
Answer:
A. -1008
Step-by-step explanation:
9x-4=-36
-36x-4=-144
-144x-7=-1008
Answer:
just go on playstore and search for photomath
Please HELP!!!!!!!!!
20 POINTS!
Which of the following statements are true about the polynomial?
7x^3y+10x^2y^3+13xy^2+14
A.The degree is 4.
B.This expression is called a trinomial.
C.The leading coefficient is 10.
D.The constant term is 7x3y.
Answer:
b
Step-by-step explanation:
what is 1/10 of 4.8
Answer:
0.48
Step-by-step explanation:
Just move back one decimal point of 4.8
Answer: I just did this one lol
Step-by-step explanation:
10 percent *4.8 =
(10:100)*4.8 =
(10*4.8):100 =
48:100 = 0.48
Now we have: 10 percent of 4.8 = 0.48
Question: What is 10 percent of 4.8?
Percentage solution with steps:
Step 1: Our output value is 4.8.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$4.8=100\%$.
Step 4: Similarly, $x=10\%$.
Step 5: This results in a pair of simple equations:
$4.8=100\%(1)$.
$x=10\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{4.8}{x}=\frac{100\%}{10\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{4.8}=\frac{10}{100}$
$ x=0.48$
Find the distance between the two points in simplest radical form.
(3,9)and (0,2)
Answer:
7.62
Step-by-step explanation:
use distance formula
An item has a listed price of $70. if the sales tax sales is 8% , how much is the sales tax ( in dollars ) ?
Answer:
$5.60
Step-by-step explanation:
$70 ⋅ 0.08 = $5.60
(I could be wrong. Sorry if I am. Don't get mad at me)
Hope I help :)
Please consider Brainliest :)
This is confusing I need help .
Answer:
x = 54angle ACD = 124°Step-by-step explanation:
The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).
You are expected to use this relation to write and solve an equation.
exterior angle = angle D + angle B
(2x +16) = 58 + (x+12)
2x +16 = x +70
x + 16 = 70
x = 54
Then angle ACD is ...
angle ACD = (2x +16)° = (2·54 +16)°
angle ACD = 124°
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
Answer:
Step-by-step explanation:
x + 64 > = 120 (thats a greater then or equal sign)
x > = 120 - 64
x > = 56...he needs to collect at least 56 more
what is 698475.50585057 multiplied by three
Answer:
2,095,426.517
Step-by-step explanation:
From the question above we are required to find the product of 698475.50585057 and 3
Therefore the product can be calculated as follows
698475.50585057 × 3
= 2,095,426.517
Hence 698475.50585057 multiplied by 3 is 2,095,426.517
Pls help I’m being timed.
Answer:
x=5
Step-by-step explanation:
trust me its right
Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month?
Answer:
$840
Step-by-step explanation:
First, multiply 70 by $150 to get the total amount the Alonzo earned
70 x 150 = 10,500
Then, multiply 10,500 by 1.08 to find the total amount made with commissions.
10,500 x 11,340
Finally, subtract 10,500 from 11,340 to find the amount of money earned from commissions.
11,340 - 10,500 = 840
Answer:
$840
Step-by-step explanation:
Start by finding the total profit made:
70 • $150 = $10500
Then multiply the total by the commission rate, %8, which is equal to 0.08:
$10500 • 0.08 = $840
The answer is $840
What is the equation of a line perpendicular to y = -5x + 4 that passes through (-10, 6)?
Answer: y= 1/5 x + 8
Step-by-step explanation:
To get a perpendicular line, take the reciprocal of the original "m" in the equation and reverse the sign.
- 5 becomes +1/5
Then substitute the y and x values from the given coordinate into the new equation and solve for b
y= mx+b
6=1/5 (-10) + b
6 = -2 +b
8 = b rewrite the new equation and substitute 8 for b
y= 1/5 x + 8
The attached screenshot shows the lines and the point.
FIND MEASURE 1 AND 3
PLS HELP ME
geometry
Answer:
1 = 45
3 = 45
Step-by-step explanation:
[tex]\angle {1}[/tex] and [tex]\angle {3}[/tex] is 45 degrees since the unmarked angle is 90 degrees, meaning that BOTH [tex]\angle {1} and \angle {3}[/tex] are equal.
Q.3] Formula of (a - b)3 is
A ladder is leaning against a house so that the top of the ladder is 12 feet above the ground. The angle the ladder makes with the ground is 51°. How long is the ladder?
12•sin51°
12/cos51°
12•cos51°
12/sin51°
None of these
Answer:
12/sin5°
Step-by-step explanation:
This angle can be calculated using the law of sine:
sin(angle)=opposite cathete/hypothenuse
sin(angle)=wall/ladder
In this exercise we want to calculate the length of the hypotenuse (ladder), so the equation is changed afterwards.
sin(angle)=wall/ladder
sin(angle)*ladder=wall
ladder=wall/sin(angle)
Now the given values are used:
ladder=wall/sin(angle)
ladder=12ft/cos(51°)
Write the equation of a line that is perpendicular to y= 3x-2 and that passes through the point (-9,5)
Answer:
Ans: y = (-1/3)x + 2
Step-by-step explanation:
Perpendicular lines have slopes whose product is -1. The slope given in
y = 3x - 2
is -3.
The slope of the perpendicular line will be m, and m needs to satisfy the equation
3 * m = -1
Hence m = -1/3.
Our perpendicular line is thus
y = (-1/3)x + b
for some constant b.
We are told that the perpendicular line goes through the point (-9,5). If so, then the following must hold:
5 = (-1/3)(-9) + b
= 3 + b
b = 2
Ans: y = (-1/3)x + 2