Answers
Answer:
[tex]1\frac{19}{30}[/tex]
Step-by-step explanation:
To operate between mixed numbers is always better to write then in fraction form first (as improper fractions), and then operate using the rules to combine fractions.
For the first mixed number :
[tex]4\frac{5}{6} = 4+\frac{5}{6} =\frac{24}{6} +\frac{5}{6}=\frac{29}{6}[/tex]
For the second mixed number:
[tex]3\frac{1}{5} =3+\frac{1}{5}=\frac{15}{5}+\frac{1}{5}=\frac{16}{5}[/tex]
So now we have to subtract these two fractions, so we need to write them with the same common denominator (6 x 5 = 30):
[tex]\frac{29}{6}-\frac{16}{5}=\frac{145}{30} -\frac{96}{30}=\frac{49}{30}[/tex]
and finally we write the obtained answer in mixed number form:
[tex]\frac{49}{30} =1+\frac{19}{30} =1\frac{19}{30}[/tex]
Related Questions
Question 1
1 pts
A cab company does not charge a boarding fee but then has a rate of $8 an hour. What
equation represents this cab company's rate?
Oy - 8 + x
O y = 1/(8x)
O y=8
O y = 8x
Answers
Answer:
y=8x
Step-by-step explanation:
There is no why intercept because there is no additional boarding fee, so the only part of the equation you get is y=mx. In this equation, that is y=8x, where "x" is the number of hours in the cab, 8 represents the cost per hour, and "y" is the total cost of the entire cab ride.
Find the value of
(64/25)^-1/2
Give your answer as fraction in its simplest form.
Answers
Answer:
√(64/25)^2.
=(8/5)^-1.
1÷8/5.
5/8
I don't know the answer
Answers
Answer: (6/18) represents how 6 pounds (lb) of rice costs $18.
Step-by-step explanation: the x axis is labeled as the amount of rice, so the x value, 6 would correspond to that. same thing for the y axis.
Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?
Answers
Answer:
15 days
Step-by-step explanation:
a) Li uses = 8.4 grams of sugar every day in her tea.
Li’s sugar canister contains = 128 grams of sugar
Let x be the number of days at which Li uses sugar in her tea
The Equation for Li's sugar usuage =
y = 128 - 8.4x ......... Equation 1
Where y , the quantity of sugar left.
b) Sue uses = 12.6 grams of sugar every day in her coffee.
Sue’s canister contains = 191 grams
Let x be the number of days at which Sue uses sugar in her tea
The Equation for Sue's sugar usuage =
y = 191 - 12.6x .........Equation 2
Where y , the quantity of sugar left.
We are asked in the question, how many days will Li and Sue have the same amount of sugar in their canisters
We would equate both equations to each other.
Equation 1 = Equation 2
y = 128 - 8.4x = y = 191 - 12.6x
128 - 8.4x = 191 - 12.6x
-8.4x + 12.6x = 191 - 128
4.2x = 63
x = 63/4.2
x = 15
15 days
Therefore Li and Sue have the same amount of sugar in their canisters after 15 days.
To confirm
Equation 1 = Equation 2
y = 128 - 8.4x = y = 196 - 12.6 × 15
y = 128 - 8.4 × 15 = y = 196 - 12.6 × 15
y = 128 - 126 = y = 196 - 189
y = 2 = y = 2
What is the simplified form of 4x^-2/(3y)^-3 a. 3y^3/4x^2 b. 108y^3/x^2 c. 108x^2y^3 d. 1/108x^2y^3 Thank you!
Answers
Answer:
b-108y³/x²
Step-by-step explanation:
4x^-2/(3y)^-3
negative exponent in nominator , moves to denominator and becaomes positive , and vice versa
4(3y)³/x²=4(27y³)/x²
108y³/x²
Iris found a value of 1 64 when she evaluated an expression. Which could have been the expression Iris evaluated? Check all that apply. 2-6 6-4 4-3 (one-half) Superscript negative 5 (one-fourth) Superscript negative 3
Answers
Answer:
A. 2^-6
C. 4^-3
Step-by-step explanation:
Iris found a value of 1/64 when she evaluated an expression.
Which could have been the expression Iris evaluated? Check all that apply.
A. 2^-6
B. 6^-4
C. 4^-3
D. (1/2)^-5
E. (1/4)^-3
A. 2^-6
= 1 / 2^6
= 1 / 2*2*2*2*2*2
= 1 / 64
B. 6^-4
= 1 / 6^4
= 1 / 6*6*6*6
= 1 / 1,296
C. 4^-3
= 1 / 4^3
= 1 / 4*4*4
= 1 / 64
D. (1/2)^-5
= 1 ÷ (1/2)^5
= 1 × 2/1^5
= 2^5
= 2*2*2*2*2
= 32
E. (1/4)^-3
= 1 ÷ (1/4)^3
= 1 × 4/1^3
= 4^3
= 4*4*4
= 64
Options A. 2^-6 and C. 4^-3 are equivalent to 1/64
Answer:
2-6,4-3
Step-by-step explanation:
hey bros i need ur help dont worry this is not a test just a practice I found online.
Answers
Answer:
k=4
Step-by-step explanation:
euqation of the graph
(1) g(x)= x+3
We have
(2) g(x)=f(x)+k
(3) g(x)=x-1+k
(1) =(3)
x+3 =x -1 + k
-x -x
3= -1+k
k= 4
Find m<RSQ and m<TSQ
please help <3
Answers
Answer:
Hey there!
15x-43+8x+18=90
23x-25=90
23x=115
x=5
RSQ=15(5)-43, or 32
TSQ=8x+18, or 58
Let me know if this helps :)
Which interval is the solution set to 0.35x – 4.8 < 5.2 – 0.9x?
(–∞, –8)
(–∞, 8)
(–8, ∞)
(8, ∞)
Answers
Answer:
(–∞, 8)
Step-by-step explanation:
F(x)= -5x + 10 ................
Answers
Answer:
[tex]f^{-1} (x)=-\frac{x}{5} +2[/tex]
Step-by-step explanation:
hope this helps
Need help on this one
Answers
Answer:
3
Step-by-step explanation:
To simplify this expression, we will simply work with the numerator, then the denominator, and then the fraction as a whole, following PEMDAS.
Numerator: 12 - 6 + 5 * (-3)^2
= 12 - 6 + 5 * (9)
= 12 - 6 + 45
= 6 + 45
= 51
Denominator: 17
So our simplified fraction is as follows:
51/17
Which can be reduced to the whole number, 3.
Cheers.
Please help! It’s Saturday and I only have this question left on my digital worksheet!
Answers
Answer:
The answer is option CStep-by-step explanation:
[tex] \frac{ {6}^{ - 3} }{ {6}^{5} } [/tex]Using the rules of indices
Since the bases are the same and are dividing we subtract the exponents
That's
[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]So we have
[tex] \frac{ {6}^{ - 3} }{ {6}^{5} } = {6}^{ - 3 - 5} = {6}^{ - 8} [/tex]Using the rules of indices
[tex] {x}^{ - y} = \frac{1}{ {x}^{y} } [/tex]So we have the final answer as
[tex] \frac{1}{ {6}^{8} } [/tex]Hope this helps you
Please find the answers below
Answers
Answer:
option 3 is the correct.....
Step-by-step explanation:
multiplying all the algebraic expressions
volume of cuboid = 3x (x+3)(x+1)
= 3x³ + 12x² + 9x
Which list orders the numbers from least to greatest? -2.4, -1.5, -2 1/4, -3, -1 1/8
Answers
Answer:
-3, -2.4, -2 1/4, -1.5, -1 1/8
Step-by-step explanation:
The bigger the negative number is, the smaller it gets.
Answer:
B
Step-by-step explanation:
edge 2022
If the friends collected 32 cans in total, how many more cans were collected by Lisa than by
Seth?
Answers
Answer:
Gina=1/4 of 32=8 cans
Lisa=3/8 of 32 =12
Jen=1/4 of 32=8
Seth=1/8 of 32=4
total cans =32
Lisa collected 12 cans, Seth collected 4 cans
Lisa collected 8 cans more than Seth
Solve for x. -6x+1=-41
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 6x + 1 = - 41}[/tex]
Move 7 to right hand side and change it's sign
[tex] \dashrightarrow \sf{ - 6x = - 41 - 1}[/tex]
Calculate
[tex] \dashrightarrow{\sf{ - 6x = - 42}}[/tex]
Divide both sides by -6
[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 42}{ - 6} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 7}}[/tex]
Hope I helped!
Best regards! :D
-6x+1=-41. -6x= -42. (-6x/6=x) (-42/6=7). X=7
A marble is randomly selected from a bag containing three red marbles to blue marbles and three green marbles what is the probability that the selected marble is green
Answers
Answer: 1/3
aka:33.33%
Step-by-step explanation:
3/9=1/3
Last week Miss Karen had 50 dollars. She went to clean a couple houses and now has
76 dollars. How much money did Miss Karen make cleaning houses?|
This has to be converted into an algebraic expression.
Please help!
Answers
x = 76 - 50
x = 26
She made 26$ cleaning houses.
An airplane has descended 4,000 feet before landing. The integer that represents how many feet the airplane was above the ground before its descent is
Answers
Answer:
8000 feet i think so yeah
Please help me to solve this!
Answers
Answer:
A=0 B=4 C=2
Step-by-step explanation:
check your answer in the attached file
I need ans for Q2, 5 and 7. QUICK PLEASE!!!
Answers
An energy-efficient lamp can only be used with light bulbs that are 60 watts or less.
Answers
Answer:As long as you don't put a bulb that uses more than 60 watts in that socket you will be fine.
Step-by-step explanation:the energy-saving bulbs that replace a 60-watt incandescent will only use 10 to 15 watts, depending on the actual bulb you buy, and give off the same amount of light.
14 ➗ 374
Please help me I need this I’m dumb
Answers
Answer:
The answer is 0.037433155
Step-by-step explanation:
round off to 2 decimal place
26.8336 = (2d.p)
Answers
Answer:
26.8336 ≈ 26.83
Step-by-step explanation:
If x < 5, then we round down.
If x ≥ 5, then we round up.
2 decimal places is the hundredths place.
26.8336
3 < 5, so we round down
26.83
Can someone answer asapppppp!!!!
Answers
Answer:
1°
Step-by-step explanation:
There are 360 degrees in a circle.
Thus, if a circle turns x degrees, then it will represent x/360 of the entire circle.
Since the rotation represented 1/360 of the entire circle, this means that the measure of the angle must be only 1 degree.
Answer:180
Step-by-step explanation:
An angle turns through n one degree angles is said to have an angle measure of n degrees
xavier climbs 9 feet up into an apple tree. what integer represents the direction and how far he will climb to get back down to the ground? what does the integer 0 represent in the situation? the integer _______ represents Xavier's climb down. the integer 0 represents _____________. how are the absolute vales of opposite integers related?
PLEASE HELP!!!!!
Answers
Answer:
1. 9 feet
2. The ground
3. Absolute values of opposite numbers are the same
Step-by-step explanation:
Given
Distance up the apple tree = 9 feet up
Solving (a): How far he'll climb to come down
In this case, the distance from the ground up to the tree is the same distance back to the ground.
In other words;
Since he climbs 9 feet up, then he'll climb 9 feet down to the ground
Solving (b): What 0 represents
In this case, 0 represents the ground
Solving (c): Absolute values
The absolute values of opposite numbers (from negative to positive) are the same
Take for instance:
[tex]|-9| = 9[/tex]
[tex]|-3| = 3[/tex]
And so on...
9x/10y=7/w solve for w
Answers
Answer:
[tex]w = \frac{70y}{9x} [/tex]Step-by-step explanation:
[tex] \frac{9x}{10y} = \frac{7}{w} [/tex]First of all cross multiply
We have
[tex]9xw = 70y[/tex]Next divide both sides by 9x to make sure that w stands alone
That's.
[tex] \frac{9xw}{9x} = \frac{70y}{9x} [/tex]We have the final answer as
[tex]w = \frac{70y}{9x} [/tex]Hope this helps you.
if D equals 1 + 4p -6p and C = 1 -p,find an expression that equals 2D -3 C in standard form.
Answers
Answer:
2(1+4p-6p)-3(1-p)
= 2(1-2p)-3(1-p)
= 2-4p-3(1-p)
= 2-4p-3+3p
= 2-3-4p+3p
= -1-p
I'm not sure if you need the equation or the answer, but here is both.
NEED HELP FAST! Trevor works as a sales associate at a retail store. He is nornally paid 20% of the total retail value of the merchandise he sells, but he can also warn a bonus. When he earns a bonus, he is paid an additional 15% of his normal pay. During one pay period, Trevor sold $3500 in merchandise and earned a bonus. How much was he paid, in dollars, for this pay period?
Answers
Answer:
$805
Step-by-step explanation:
(3500)(0.2) = 700 and 700 x 0.15 = 105
add 700 + 105 = 805 <- Answer
i don’t understand where to start or what to do , help pls .
Answers
Answer:
x = -19
Step-by-step explanation:
For this problem, we simply need to get rid of the fractions so we can easily solve for x.
To get rid of these fractions, we will multiply the whole equation by the LCD which is 2 * 3 = 6.
( x / 2) - ( 1 / 2) = ( 2x / 3) + ( 8 / 3 )
6 * ( x / 2) - 6 * ( 1 / 2) = 6 * (2x / 3) + 6 * ( 8 / 3 )
3x - 3 = 4x + 16
3x - 3x - 3 - 16 = 4x - 3x + 16 - 16
0x - 19 = x + 0
x = - 19
Thus, for the equation to be true, x must be equal to negative 19.
Cheers.
Answer:
Answer= -19
Step-by-step explanation:
x/2 - 1/2 = 2x/3 + 8/3
x-1 / 2 = 2x+8 / 3
(x - 1) × 3 = (2x + 8) × 2
3x - 3 = 4x + 16
3x - 4x = 16 + 3
-x = 19
x = -19.
Thus, the value of x will be -19.
Hope it helps.
Mark it as Brainliest.