The gasoline gauge on a truck reads 1/8 full. after you add 30 gallons the gauge reads 3/4 full. what is the capacity of the tank?
Answer:
48 gallons
Step-by-step explanation:
[tex] \frac{3}{4} = \frac{6}{8} \\ \frac{6}{8} - \frac{1}{8} = \frac{5}{8} \\ 5 \div 30 = 6 \\ 6 \times 8 = 48[/tex]
Can anyone help me with this question ?
Answer:
addition
Step-by-step explanation:
18 ( d - 9 ) = 198
3
divide both side by 18
d - 9 = 198
3 18
d - 9 = 11
3
multiply both sides by 3
d - 27 = 33
add 27 to both sides
d = 33 + 27
lastly, add them together
d = 60
therefore, the last step is addition
Translate the sentence into an equation. Four more than the quotient of a number and 8 is 9. Use the variable y for the unknown number.
I have tried 3 times to solve this.
Step-by-step explanation:
Year 2006- y = 0.09 (6) + 0.04 = 0.58
Year 2008- y = 0.09 (8) + 0.04 = 0.76
Year 2010- y = 0.09 (10) + 0.04 = 0.94
Year 2012- y = 0.09 (12) + 0.04 = 1.12
Year 2014- y = 0.09 (14) + 0.04 = 1.3
"Let x = 6 which is corresponded to 2006", so 8 would correspond to 2008, 10 would correspond to 2010, 12 would correspond to 2012, and 14 would correspond to 14. Plug 6 for x into your equation and do them same for the others.
Hopefully this helps you! :)
Plz help it need to be done by to day anyone plz
The answer is 256 because 2304 divided by 9 equals 256.
Step-by-step explanation:
256. I showed work just in case you need to
(r/s)(3) = ?
please help.
Answer:
[tex]\frac{3r}{s}[/tex]
Answer:
It’s 2
Step-by-step explanation:
5/6 + 2/3 = ?
Your
answer
Answer:
1.5
Step-by-step explanation:
Answer:
Improper Fraction: [tex]\frac{10}{6}[/tex]
Proper Fraction: [tex]1\frac{4}{6}[/tex]
Simplified Proper Fraction: [tex]1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{5}{6} + \frac{2}{3}[/tex] Is our equation... first we must find a common denominator! Let's take a look...
6: 1, 6, 12
3: 1, 3, 6
We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...
[tex]\frac{5*1}{6*1} +\frac{2*2}{3*2}[/tex]
We get...
[tex]\frac{5}{6} +\frac{4}{6} = \frac{10}{6}[/tex]
Now if you want to leave it as an improper fraction your answer will be [tex]\frac{10}{6}[/tex]. However, if you want you answer to be a proper fraction your answer is [tex]1\frac{4}{6}[/tex] which can be simplified further to,[tex]1\frac{2}{3}[/tex].
Whew! What a toughie! We showed that math problem!
The sum of 2 times a number and 10 is the same as 6 times the difference of the number and 1. What is the number? -4 -1 1 4
Answer:
4
Step-by-step explanation:
let 'x' be the unknown number
let's change the statment to an equation
2x + 10 = 6 (x-1)
2x + 10 = 6x - 6
2x - 6x = -6 - 10
-4x = -16
-4x = - 16
-4. -4
x = 4
hope u like it ❤❤❤
For any question comment me
Answer:
4
Step-by-step explanation:
(3y + 2)(7y) y= 1
How do I evaluate that. Please show work
Answer: 17
Step-by-step explanation:
y= 1
(3y + 2)(7y)
(3(1) + 2(7(1)) Replace y with given number
(3 + 2(7)) Multiply 1 to 3 and 7
(3 + 14) Multiply 2 and 7
(17) Add 3 and 14
Answer:
1. y = 1/7 = 0.143
2. y = 2/3 = 0.667
Step-by-step explanation:
STEP 1 :
Equation at the end of step 1
(3y - 2) • (7y - 1) = 0
STEP 2 :
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : 3y-2 = 0
Add 2 to both sides of the equation :
3y = 2
Divide both sides of the equation by 3:
y = 2/3 = 0.667
Solving a Single Variable Equation:
2.3 Solve : 7y-1 = 0
Add 1 to both sides of the equation :
7y = 1
Divide both sides of the equation by 7:
y = 1/7 = 0.143
sin 20.sin 10 as sum or difference
Answer:
see explanation
Step-by-step explanation:
The difference identity for the product is
sinxsiny = [tex]\frac{1}{2}[/tex] [ cos(x - y) - cos(x + y) ], thus
sin20sin10
= [tex]\frac{1}{2}[/tex] [ cos(20 - 10) - cos(20 + 10) ]
= [tex]\frac{1}{2}[/tex] ( cos10 - cos30 )
5-x<8;x=-3 value of the solution
Answer:
Step-by-step explanation:
5-x<8; x=-3
5-(-3)<8
5-3<8
^
8<8
i think that's how you do it ? sorry if this is wrong
Plsss help me with this!!!!
The interior angles of a triangle add up to 180 degrees, meaning we can make an equation.
[tex]2x+36=180[/tex]
[tex]2x=144[/tex]
[tex]x=72[/tex]
Hope this helps.
頑張って!
Add 0 and write t
8
+
0
Answer:
8t
Step-by-step explanation:
Add 0 to 8 and then add the letter variable t.
Which of these choices is equivalent to the expression: i85
Answer:
[tex]i^{85} = i[/tex]
Step-by-step explanation:
The options are missing; however, the question can still be solved.
Given
[tex]Number = i^{85}[/tex]
Required
Simplify
[tex]Number = i^{85}[/tex]
Rewrite 85 as 84 + 1
[tex]Number = i^{84 + 1}[/tex]
Split the expression using the law of indices
[tex]Number = i^{84} * i^1[/tex]
Rewrite 84 as 4(21)
[tex]Number = (i^{4})^{21} * i^1[/tex]
In complex numbers, [tex]i^4 = 1[/tex]
So, we have
[tex]Number = 1^{21} * i^1[/tex]
[tex]Number = 1 * i[/tex]
[tex]Number = i[/tex]
Hence;
[tex]i^{85} = i[/tex]
Un mecánico tiene un conjunto de 20 llaves. La medida de la llave más grande es 3/4 pulgada, mientras que la llave mas pequeña es 1/8 de pulgada. ¿Cual es la diferencia en números raciónales de estas medidas?
Answer:
La diferencia en los tamaños entre los siguientes tamaños de teclas es de 1/32 pulgadas
Step-by-step explanation:
El número de llaves que tiene el mecánico = 20 llaves
El tamaño de la llave más grande = 3/4 pulgadas
El tamaño de la llave más pequeña = 1/8 pulgadas
La diferencia de medida entre la tecla más grande y la más pequeña = 3/4 - 1/8 = 5/8 pulgadas
El aumento de la medición entre las teclas posteriores se puede dar de la siguiente manera;
D = 5 / (20 × 8) = 1/32 pulgadas
Los tamaños de las teclas son;
(Usando Excel y Word)
3/4 pulgadas, 5/7 pulgadas, 2/3 pulgadas, 2/3 pulgadas, 5/8 pulgadas, 3/5 pulgadas, 4/7 pulgadas, 1/2 pulgadas, 1/2 pulgadas, 1/2 pulgadas, 4/9 pulgadas, 2/5 pulgadas, 3/8 pulgadas, 1/3 pulgadas, 1/3 pulgadas, 2/7 pulgadas, 1/4 pulgadas, 2/9 pulgadas, 1/5 pulgadas, 1/6 pulgadas, 1/8 pulgadas
La diferencia en los tamaños entre los tamaños de clave posteriores = 1/32 pulgadas.
A 351- foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is the shortest piece of rope?
Answer:
87.75
Step-by-step explanation:
(x-6)(x2+3x+4) Please show working or at type a sentence on how you got it.
Answer:
x³-3x²-14x-24
Step-by-step explanation:
(x-6)(x^2+3x+4)
first multiply x by x^2+3x+4
x×x²=x³
x×3x=3x²
x*4=4x add
x³+3x²+4x ( first part)
multiply -6 by x²+3x+4
-6x²-18x-24
x³+3x²+4x -6x²-18x-24 ( simplify)
x³-3x²-14x-24
Teah was selling candy bars for a fundraiser. She spent $25 on a box of candy bars and sold each candy bar for $2.50. Her profit was $75. Teah wrote the equation 2.5c−25=75 for this situation, and she found c=40. Which statement is true about the solution c=40?
Answer:
The equation is not true. It is actually c=30
Step-by-step explanation:
First you have to divide amount of money she's selling the candy bars for which is $2.50.
If her profit was $75, you want to know how much bars she sold, you will have to divide the amount of money she's selling the candy bars for and the amount she's earning which is $75 divided by $2.50 which is 30.
So c= 30
calculate the perimeter of a triangle whose dimensions are 1 m 60cm, 1m 80cm and 2m
Answer:
540 CM
Step-by-step explanation:
The perimeter means the sum of the distance around a particular shape
1M=100 CM
2M=200 CM
200+60+80+100+100=540CM
Solve the equation: only write the number is the box
2( 5x+2)=54
How do you write 0.1 as a fraction?
Answer:
1/100
Step-by-step explanation:
Answer:
0.1 can be written as 1/10
Step-by-step explanation:
0.1*10/1*10
Lawrence High prevailed in Saturday's track
meet with the help of 20 individual event
placers earning a combined 68 points. A
first place finish earns 5 points, a second-
place finish earns 3 points, and a third-place
finish earns 1 point. Lawrence had a strong
second-place showing, with as many second
place finishers as first and third-place
finishers combined.
Answer:
The answer is below
Step-by-step explanation:
Let x represent a first place finish, y represent a second place finish and z represent a third place finish.
Since there is a total of 20 individual events, hence:
x + y + z = 20 (1)
A first place finish is 5 point, a second place finish is 3 point and third place finish is 1 point. Therefore:
5x + 3y + z = 68 (2)
The second place finishers is as much as first and third-place finishers combined. Hence:
y = x + z (3)
Solving equation 1, 2 and 3 simultaneously gives:
x = 7, y = 10 and z = 3
This means the number of first place finishes was 7, second place finishes was 10 and third place finishes was 3
A box of popcorn weighs 15\16 pounds. The box contains 1/3 buttered popcorn and 2/3 cheesy popcorn. How much does the cheesy popcorn weigh?
Answer:
5/8 of a pound/10/16 of a pound
Step-by-step explanation:
15/6 x 2/3 = 5/8 of a pound simplified.
4x + 2(x - 5) - 3(2x -4)
Answer:
2
Step-by-step explanation:
Pull out like factors :
2x - 4 = 2 • (x - 2)
(4x + (2 • (x - 5))) - 6 • (x - 2)
(4x + 2 • (x - 5)) - 6 • (x - 2)
Final Answer:
2
the sum 4 times a number and 7 is 31
Step-by-step explanation:
I'm not sure what you're looking for exactly, but it translates to this equation
4x + 7 = 31
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects, Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let a represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
Answer:
Statement 2, Statement 4, and Statement 5 all applies
Step-by-step explanation:
Statement 1:
The expression 50ℎ represents the total charge for Rock the House Digital Designs.
Rock the House Digital Designs:
Initial consultation charge of $500 + $50 for every additional hour of work for the house plans
500 + 50h
NOT TRUE
Statement 2:
The expression 75ℎ represents the total charge for Elegance Home Architects.
Elegance Home Architects:
$75 per hour for the house plans
75h
TRUE
Statement 3:
The cost for using Rock the House Digital Designs for an initial consultation only is $550.
The cost for using Rock the House Digital Designs for an initial consultation only is $500
NOT TRUE
Statement 4:
If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
Rock the House Digital Designs = 500 + 50h
500 + 50(15)
= 500 + 750
= $1,250
Elegance Home Architects = 75h
= 75(15)
= $1,125
TRUE
Statement 5:
If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Rock the House Digital Designs = 500 + 50h
= 500 + 50(40)
= 500 + 2,000
= $2,500
Elegance Home Architects = 75h
= 75(40)
= $3,000
TRUE
3. Write an equation to represent the situation:
The total cost of three equally priced DVDs is
$45. How much does each DVD cost?
Answer:
x=45/3
Step-by-step explanation:
Since total cost for equally priced three DVDs is $45. Therefore, each should cost 45 divided by 3.
Answer:
$15
Step-by-step explanation: easy 45/3 since they are equally prized which would equal 15
Fill in the missing steps and justifications used to solve the given equation.
In Left BOX
6x-7 + 7 = 12+ 7x = 19/6in Right Box
Simplification Addition property of equationWhat are the Properties of the equation?Equilibrium, reflexivity, symmetry, transitivity, and the properties of operations are all solved by equations' properties. These properties hold true in propositional language as well as in algebra and arithmetic.
Hence, Here the solution is a step toward solving the given equation by using simplification.
Learn more about the properties of the equation here:
https://brainly.com/question/18111494
#SPJ5
I'm pretty sure I got something wrong in this assignment can someone see where it went down? Instructions included.
Answer:
The 12 4/9 in the bottom right corner is 13 7/9 and the 8 two squares to the left of it is 6 2/3.
Step-by-step explanation:
You actually did really well! It was only in the last two squares that you went wrong. The first wrong one was just the 12 4/9 in the last column and second to last row, which should be 13 7/9. Then with that the last square that is wrong is just the 8 in the 5th column and second to last row, which should be 6 2/3. Those are the only ones so you actually did really well, great job!
Hope this helped!
If a+b+c=9 ab +bc+ca=12 find a2+b2+c2
Step-by-step explanation:
(a + b + c)^2 = (a^2 + b^2 + c^2) + 2(ab + bc + ca).
Therefore 9^2 = (a^2 + b^2 + c^2) + 2(12).
a^2 + b^2 + c^2 = 81 - 24 = 57.
Please find attached photograph for your answer.