Given:
The expression is:
[tex]12\div \dfrac{3}{5}[/tex]
To find:
The correct statement for solution of the given expression.
Solution:
We have,
[tex]12\div \dfrac{3}{5}[/tex]
If a number is divided by a fraction, then we need to multiply the reciprocal of the fraction with the number.
It can be written as
[tex]12\div \dfrac{3}{5}=12\times \dfrac{5}{3}[/tex]
[tex]12\div \dfrac{3}{5}=\dfrac{12\times 5}{3}[/tex]
[tex]12\div \dfrac{3}{5}=\dfrac{60}{3}[/tex]
[tex]12\div \dfrac{3}{5}=20[/tex]
To simplify the given expression, we need to multiply 12 by 5, then divide by 3.
Therefore, the correct option is D.
Celia uses 7.9 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Given:
Total paint used = 7.9 pints
Blue paint is [tex]\dfrac{2}{5}[/tex] of this amount.
The remaining paint is white.
To find:
The amount of white paint.
Solution:
Blue paint is [tex]\dfrac{2}{5}[/tex] of 7.9 pints.
[tex]\text{Blue paint}=7.9\times \dfrac{2}{5}[/tex]
[tex]\text{Blue paint}=3.16[/tex]
Now,
[tex]\text{White paint}=\text{Total paint}-\text{Blue paint}[/tex]
[tex]\text{White paint}=7.9-3.16[/tex]
[tex]\text{White paint}=4.74[/tex]
Therefore, the total white paint used in Celia's bedroom walls is 4.74 pints.
4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.
Answer:
15n = 330
Value of n(number of lawns) = 22
Step-by-step explanation:
She has already saved $85 which means the amount of money she needs left will be
=$415 - $85
= $330
Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.
15n = 330
To go further, divide both sides by 15 to get the number of lawns she has to mow.
[tex]\frac{15n}{15} =\frac{330}{15}[/tex]
n = 22
∴ She needs to mow 22 lawns to get the amount of money she needs.
Many ATM machines in Las Vegas casinos charge a $6 fee each time a person withdraws money. If Adam used the ATM 3 times last Saturday at the Bellagio in Las Vegas, how much money was taken out of his checking account in ATM fees?
Answer:
$18
Step-by-step explanation:
consider the system of equations
y = 2/3 x + 1
y = x
what is the solution to the system?
A. (0,0)
B. (0,1)
C. (1,1)
D (3,3)
Answer:
Use your resources wisely
Step-by-step explanation:
Answer:
[tex] \frac{2}{3} x + 1 = x \\ \frac{1}{3} x = 1 \\ x = 3 \\ y = 3[/tex]
X=3,y=3
Find the smallest value of m such that the LCM of m and 34 is 374.
Answer:
11
first you use a number tree
34 374
/\ /\
2 17 2 187
/\
11 17
express the numbers in prime factors
374=2×11×17
34 =2×17
in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17
So m factors are 2 and 11
which means m is 2×11=22
22 in its smallest form is 11
Suppose a motorcycle costs $8,000 and loses 4% of its value each year. What will be the value of the motorcycle after 7 years?
Answer: $6,012
Step-by-step explanation:
if the simplified equation is 8,000(0.96)^7, plug it into desmos and round it
Work out the reciprocal of 0.125
Answer:
The right answer is 8 hope I helped
1. Add: 85 + (-96) *
Help
Answer:
Your answer is -11
Step-by-step explanation:
85-96=-11
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?
Answer:
1,187.50
Step-by-step explanation:
Answer:
Step-by-step expiation
we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3
2.5% = 0.025
0.025 x 3 = 0.075
Then we will multiple the tax rate by our principal,
52,000 x 0.075 = 3,900
52,000 - 3,900 = 48,100
This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.
The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%
Complete question is;
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?
Answer:
0.14 or 14%
Step-by-step explanation:
We are told that the probability that the comic book readers prefers comics published by company A is 25%.
Thus; P(A) = 25% = 0.25
Also, we are told that the probability that comic book reader is male 70%.
Thus; P(M_r) = 70% = 0.7
We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.
Thus; P(A|M_r) = 40% = 0.4
To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.
Thus;
P(M_r|A) = [P(A|M_r) × P(A)]/P(M)
P(M_r|A) = (0.4 × 0.25)/0.7
P(M_r|A) ≈ 0.14
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
2.
Brian was reading a novel. He said, “If I take the sum of the number of the page I'm on
with the number of the page on its right, I get 425." Which page is Brian on?
Translate til
Eight times the sum of a number and 3 is equal to 5.
Use the variable w for the unknown number.
Answer:
8(w+3) = 5
Step-by-step explanation:
what's
[tex]12 + 24 \div 6[/tex]
what is the degree of angle YQR
Answer: Angle is 3
Step-by-step explanation:
16x - 27 = 5x + 6
-5x -5x
______________
11x - 27 = 6
+ 27 +27
___________
11x = 33
__ __
11 11
x = 3
Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. What was the total amount of gasoline Michael used?
Answer:
11/40 of a gallon
Step-by-step explanation:
The amount of gasoline in the tank of lawn mower = 3/8 of a gallon
Then he put the amount of gasoline in the tank = 4/10 of a gallon
The total amount of gasoline filled in the tank = 3/8 + 4/10
= 3/8 + 2/5
= 15+16/40
= 31/40
The total amount of gasoline filled in the tank = 31/40
The amount of gasoline left in the tank after mowing = 2/4
Total amount of gasoline Michael used = 31/40 - 2/4
= 31-20/40
= 11/40 of a gallon
Alternatively, you can follow this method:
Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)
= 3/8 + (2/5 - 2/4)
= 3/8 + ( 8-10/20)
= 3/8 + (-2/20)
= 3/8 + (-1/10)
= 3/8 - 1/10
= 30-8/80
= 22/80
= 11/40 of a gallon
Total amount of gasoline Michael used = 11/40 of a gallon
What is the following sum of 3/10 + 39/100
Answer:
.69 is the answer to the question
which answer is correct
Answer:
The answer is b
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
A. 4
O
B. 1
o
C. -1
D. -4
SUBMIT
Answer:
-1
Step-by-step explanation:
We can use the slope formula when given two points
m= ( y2-y1)/(x2-x1)
= ( 3-7)/(2 - -2)
= (3-7)/( 2+2)
= -4/4
= -1
Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice as old as Gerald. The sum of their ages is 38. how old is Beth?
Answer:
Beth is five years old.
Step-by-step:
Beth + Julio + Gerald + Debra = 38
B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38
Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.
Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38
B + (B -2) + (2B) + (4B) = 38
Simplfy the like terms.
8B - 2 = 38
Add 2 on both sides.
8B = 38 + 2
8B = 40
Divide both sides by 8 to isolate the variable.
8/8 B = 40/8
B = 5
if your smart what is 1 + 1= ?
Answer:
1+1=2
easy
plz mark as brainliest
Please help me give Brain
Answer:168
Step-by-step explanation:
The probability distribution for a random variable x is given in the table Find the probability that X<=20
probability for X<=20 is 1
what is probability?
the probability is the department of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The chance of an event is a number between 0 and 1, in which, roughly speaking, zero indicates the impossibility of the event and 1 shows certainty.
probability = the number of ways of attaining success. the total number of possible results. For instance, the chance of flipping a coin and its being heads is ½, due to the fact there may be 1 way of getting a head and the total number of possible outcomes is two (a head or tail).
Learn more about probability here
https://brainly.com/question/24756209
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what is 2,829 divided by 33
i realy need help with this
Answer:
85.72 is ur answer...
Hope it helps!!!
If y varies directly as x, if y = 8 when x = 4, find y when x = 48
PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1
Answer:
22
50
Step-by-step explanation:
For each ordered pair determine whether it’s a solution to 5x plus 2y = -1
Answer:
1,-3
Step-by-step explanation:
Can someone plzzzz help meeee!!!!!
Answer:
1. Interpret (L): To explain or to give meaning to.
2. Variable: (F) Something that can change or influence the results of an experiment.
3. Observe (I): To notice what occurs during an experiment.
4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.
5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.
6. Ethical (E): Following the rules of being being fair and honest.
7. Hypothesis (G): An educated guess or reasonable assumption.
8. Research (D): To conduct an investigation into current information about something.
9. Experiment (C): A test or trial performed in order to discover something.
10. Conclusion (K): The result or outcome of something.
11. Procedure (H): A sequence of steps involved in performing an experiment.
If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!
A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
1. 1187 square inches
2. 517 square inches
3. 3077 square inches
4. 785 square inches
Answer:
4
Step-by-step explanation:
use the formula to get the answer but i got 785.71.