12b² - 27 = 0 / : 3
4b² - 9 = 0
4b² = 9 / : 4
b² = 2,25
b = 1,5 and b = -1,5
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
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
which answer is correct
Answer:
The answer is b
If y varies directly as x, if y = 8 when x = 4, find y when x = 48
What is the average rate of change between x = 10 and x = 30
Answer:
everyone always asks "where's the toilet?" but no one ever asks "how's the toilet?" :'(
Step-by-step explanation:
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:
is -x^2y^2 + 9x^4y^2 + 5x^2y^3 a monomial binomial or trinomial
Answer:
Trinomial
Step-by-step explanation:
when you add like terms you still have 3 sets of different symbols 3= trinomial.
PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1
Answer:
22
50
Step-by-step explanation:
HALP me pzlzzzzzzzzzzzzzz
Answer:
1 month
Step-by-step explanation:
mark me brainlyest????
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
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.
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.
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:
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.
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
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.
For each ordered pair determine whether it’s a solution to 5x plus 2y = -1
Answer:
1,-3
Step-by-step explanation:
Elvira was ordering Pretzels for the snackline at her school. She paid 25 cents for each
pretzel plus a $20 delivery fee. How many pretzels can she order with a budget of $100?
Write the Inequality (What's her starting cost, what's changing, what's her total?)
Solve the Inequality
What does it mean?
Answer:
100 -20 divided by 0.25=x
Step-by-step explanation:
you subtract 20 first, then you divide the the answer by 0.25, the answer is 80, so your answer is 320
4400 dollars is placed in an account with an annual interest rate of 7%. To the nearest year, how long will it take for the account value to reach 10100 dollars?
Answer:
19 years approx
Step-by-step explanation:
Given data
Principal P= $4400
Rate r=7%
Final amount A=$10100
Time t= ???
Let us apply the simple interest expression
A=P(1+rt)
substitute
10100=4400(1+0.07*t)
open bracket
10100=4400+308t
10100-4400=308t
5700=308t
t= 5700/308
t= 18.50
Hence the time is 19 years approx
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!
You want to buy a new phone that costs $1250. Your cell phone plan allows for 15% off the price of any new phone. How much will you pay?
Answer:
$1187.5
Step-by-step explanation:
Cost of cellphone =$1250
15 percent of 1250 is =62.5
so,
1250-62.5=1187.5
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
what is 2,829 divided by 33
i realy need help with this
Answer:
85.72 is ur answer...
Hope it helps!!!
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
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.
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
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PLEASE HELP FAST 20 POINTS! I need A. And B.
Answer:
Diamater is independent because it will always be the constant so it will keep going up by 2
Cost is dependent because it relies on the diamater
Step-by-step explanation:
Work out the reciprocal of 0.125
Answer:
The right answer is 8 hope I helped
PLZ SOMEONE HELP RIGHT AWAY!
10x+2(8x+10)
Answer:
26x+20
Step-by-step explanation:
Please help me give Brain
Answer:168
Step-by-step explanation: