.a. Find the LCM of the 45 and 70
Answer:
630.
Find the Prime factorization of 45, 3 x 3 x 5
Find the prime factorization of 70, 2 x 5 x7
Multiply each factor the greater number of times it occurs.
You get 630.
LCM of 45 and 70 :
= 45 ÷ 5 , 70 ÷ 5 ( Both the numbers are being divided by 5 ; which is their smallest common factor )
= 14 , 9
= 14 ÷ 14 , 9 ( We are dividing 14 by 14 as both 9 and 14 dont have have a common factor )
= 1 , 9
= 1 , 9 ÷ 3 ( 9 is being divided by 3 )
= 1 , 3
= 1 , 3 ÷ 3 ( 3 is being divided by 3 )
= 1 , 1
LCM of 45 and 70 = 5 × 14 × 3 × 3
LCM of 45 and 70 = 630
Therefore , the LCM of the 45 and 70 = 630 .
3x - 2y = 38
x = 6 - y
Choose a solving method to find the solution
(if possible provide explanation I do not understand this!)
Number 10 will be marked brainliest
Answer:
Sorry. Please mark as brainliest
What is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?
Answer:
y = x + 6
Step-by-step explanation:
A line that is perpindicular to y = -x + 20 would be y = x. Now, we have to solve for the y-intercept. Knowing the line must cross through (-4,2) we can solve for the y-intercept using the equation y = x which is just up one over one. Going over 4 units to get to x = 0 means going up 4 units to get to y = 6. Now we know the y-intercept is 6. This means the final equation is y = x +6.
29points!
Match the vocab word with the definition:
.1Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed
2.
An expression that consists of numbers, operations, and sometimes grouping symbol.
3.
The order in which operations must be computed when more than one operation is involve.
4.
A number representing how many times the base number should be multiplied by itself.
5.
A Symbol that represents a value that can change.
6.
A single number or variable, or numbers and variables multiplied together.
7.
The numerical factor in a term. A number being multiplied by a variable.
8.
A number on its own, it has a fixed value.
9.
A combination of variables, numbers, and operations.
10.
You replace, or substitute, all the variables with numbers and then simplify.
11.
A statement that the values of two math expressions are equal (indicated by the sign =).
12.
The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
13.
The symbol of a math operation.
plus, minus, times, divided by, equals
14.
An equation or inequality containing one or more variable
Open Sentence
Exponent (Power)
Numerical Expression
Operator
Term
Evaluate
Order of Operations
Grouping Symbol
Constant
Coefficient
Variable Expression
Equation
Inequality
Variable
A:8
B:14
C:3
D:11
E:7
F:4
G:1
H:12
J:9
K:10
L:2
M:6
N:5
O:13
How do I solve 2(6x +4) +7x by simplifying the expressions?
Answer:
19x+8
Step-by-step explanation:
First distribute 2 into the parenthesis which will equal 12x+8+7x
Than add like terms 12x+7x = 19x
Than youre left with 19x+8 and that is the answer :}
Answer:
19x+8
Step-by-step explanation:
You multiply everything in the parenthesis by 2 and then get rid of the parenthesis so then the equation will be 12x+8+7x. Then you add 12x and 7x together because you can't add together a normal number and a variable. Then the equation will be 19x+8. This is the final equation.
Select the correct answer from each drop-down menu. Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is given by the function C(n) = 60 + 0.45n. The function that models the number of cupcakes Lisa makes in h hours is n(h) = . The cost function in terms of hours, h, is given by . Lisa's cost for making cupcakes for 2 hours is .
Answer:
Step-by-step explanation:
from the question, we are told that Lisa bakes 3dozens cupcakes every hour, to know the amount she makes in h hours, we will use the equality postulate as shown;.
3 dozens = 1hour
n(h) = h hour
Cross multiply
n(h) × 1 = 3×h
n(h) = 3h
Hence the function that models the number of cupcakes Lisa makes in h hours is n(h) = 3h
To get the cost function in terms of hours, we will find the composite function C(n(h))
C(n(h)) = C(3h)
Given C(n) = 60 + 0.45n
C(3h) is derived by substituting n as 3h in the function as shown;
C(3h) = 60+0.45(3h)
C(3h) = 60+1.35h
Hence the cost function in terms of hours, h, is given by 60+1.35h
To get the cost for making cupcakes for 2 hours, we will substitute h = 2 into the expression C(h) = 60+1.35h
C(2) = 60+1.35(2)
C(2) = 60+2.70
C(2) = 62.70
Hence the cost for making cupcakes for 2 hours is $62.70
Answer:
The function that models the number of cupcakes Lisa makes in h hours is n(h) = 36h. The cost function in terms of hours, h, is given by 60 + 16.2h. Lisa's cost for making cupcakes for 2 hours is $92.40
.
Step-by-step explanation:
Parker is working two summer jobs, making $11 per hour lifeguards and $22 per hour tutoring. Last week Parker worked a total of 16 hours and earned a total of $242. Determine the number of hours Parker worked lifeguarding last week and the number of hours he worked tutoring last week
Answer:
lifeguarding: 6 hours
tutoring: 10 hours
Step-by-step explanation:
First, to be able to tell apart the two jobs, use the variable x and y for them. use x for lifeguarding and y for tutoring. Since you have the pay per hour, you can create an expression for his pay:
11x + 22y
Then, write a system of equations to be able to find both variables.
If Parker worked a total of 16 hours, then you know that the combined amount of worked hours will be:
x + y = 16
If Parker earned a total of $242, then you know that his combined pay will be:
11x + 22y = $242
Now, you solve the system of equations (IMAGE.A):
First, solve for x:
11x + 22y = 242
11x = 242 – 22y
x = 22 – 2y
Now, plug in the x-value in the other equation:
x + y = 16
22 – 2y + y = 16
22 – y = 16
–y = –6
y = 6
This means that he has worked 6 tutoring hours.
Now, plug in the y-value to find the x-value:
11x + 22y = 242
11x + 22(6) = 242
11x + 132 = 242
11x = 110
x = 10
this means that he has worked 10 lifeguarding hours.
Answer:
10 hours lifeguarding, 6 hours tutoring
Step-by-step explanation:
You mixed it up but your work was right! This is correct because I just had this on a test and got it right. Good LUCK!
The product of a 3 and the sum of number and 5 is equal to 60
Answer:
3n + 5 =60
Step-by-step explanation:
Answer : n=55/3
Which expression is equivalent to the given expression?
2x^2– 14x + 24
Answer:
2(x - 3)(x - 4)
Step-by-step explanation:
Can someone answer this plz im giving brainliest
Answer:
1, 3, 5, 7, 10 those are the answers to Y
Answer:
7: 1
21: 3
35: 5
49: 7
77: 11
In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.
Variable DF Estimate SE T
Intercept 1 −5.0 0.26 −19.3
WHIP 1 6.8 0.14 47.4
Which of the following statements is the best interpretation of the value 6.8 shown in the output?
a. ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.
b. WHIP is predicted to increase by 6.8 units for each 1 unit increase of ERA.
c. For a pitcher with 0 units of WHIP, the ERA is predicted to be approximately 6.8 units.
d. For a pitcher with 0 units of ERA, the WHIP is predicted to be approximately 6.8 units.
e. Approximately 6.8% of the variability in ERA is due to its linear relationship with WHIP.
d =−12 is one of two solutions of the equation |d+ 9|=3
true or false
Let's find out by replacing d with -12. Then we'll simplify the left side
|d+9| = 3
|-12+9| = 3 .... replace d with -12
|-3| = 3
3 = 3
Since we get a true statement, ie the same thing on both sides, this means the original equation is true when d = -12.
Therefore d = -12 is one of the two solutions to the original equation.
Answer: TrueAnswer:
True
Step-by-step explanation:
We can check this by substituting x = - 12 into the left side of the equation. If the result is equal to the right side then it is a solution.
| - 12 + 9 | = | - 3 | = 3 = right side
Thus x = - 12 is one of the solutions to the equation.
[ The other solution is x = - 6 ]
The ratio of the male and female teachers is 3:4 in Aadarsh H.S. School. If the number
of male teachers is 12, find the number of female teachers.
d)
7
Answer:
there is 16 female teachers because 4 * 4 is 14
male is eqaul to 12
so therefore female is eqaul to 3/4*12=9
Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?
Answer:
It will take 88.2 months to accumulate the amount
Step-by-step explanation:
Given;
Future value of money, FV = $25,000
investment per compound period, P = $200
interest rate, i = 0.75% x 12 = 9%
The number of monthly installments required to amount to FV is given by;
[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]
Therefore, it will take 88.2 months to accumulate the amount.
Estimate the value of 13 (between which two whole number)
Answer:
C
Step-by-step explanation:
between three and four
Miranda has borrowed $2000 from Bank of America to help pay for a flat screen TV. The $2000 was obtained at a rate of 5% for a period of 36 months. How much will she have paid for the TV after the 36 months?
Answer:
u get 300Step-by-step explanation:
so what ur looking for is the "I" and first we covert 36 months in 3 years the do this set up 2000(0.05)3If f(x)=3x+12, find the value of x so that f(x)=36
with steps please!
Answer:
x = 8
Step-by-step explanation:
36 - 12 = 24
24/3 = 8
What is the additive inverse of 9/10
Answer:
-9/10
Step-by-step explanation:
check answer:
number + additive inverse = 0
9/10 + -9/10 = 0
help please :(
20 points to help
Answer:
67/24
Step-by-step explanation:
that is what my graphing calculator got, I hope its right
Answer:
2 19/24
Step-by-step explanation:
if we go by order of operations we will need to find 3/4+1/6 first because its in parenthesis. we would need to make the fractions compatible so we would turn 3/4 into 9/12, and 1/6 into 2/12. That would get us 11/12. Next up we would calculate the exponent. 2**4 is equal to 2*2*2*2, which is 16. then we would do the division. 2/3 / 16=1/24. 11/12 / 1/3= 11/4. again, we need to make them compatible so we would turn 11/4 into 66/24. finally we add 1/24 and 66/24, which is 67/24. we would turn that into 2 19/24. hope this helps!
4x + 20y = -180
Put the following equation of a line into slope intercept form, simplifying fractions
Answer:
y = - [tex]\frac{1}{5}[/tex] x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
4x + 20y = - 180 ( subtract 4x from both sides )
20y = - 4x - 180 ( divide all terms by 20 )
y = [tex]\frac{-4}{20}[/tex] - [tex]\frac{180}{20}[/tex] , that is
y = - [tex]\frac{1}{5}[/tex] x - 9 ← in slope- intercept form
Write the equation of the line that passes
through the point (-6, 5) and has a slope of 2/3
in point-slope form.
Answer:
y-5=2/3(x+6)
Step-by-step explanation:
Write an equation that represents the scenario: Taylor’s Tow Truck charges $30 to pick up the car and then an additional 2.50 per mile driven to tow your car.
Answer:
30+2.50m=t
Step-by-step explanation:
where m represents the amount of miles driven and t represents the total of money owed
can i get brainliest please?
Answer:
joker is not see the following questions and the answers will come up on your site
whats the rate of change?
-x + 3 = 2 ( x + 15 )
Answer:
x= -9
Step-by-step explanation:
-x+3=2(x+15)
-x+3=2x+30
-x-2x+3=30-3
-3x=30-3
-3x=27
x= -9
530, 6%, 1 year i dont think the answer is 3189 it told me i was wrong so yea please help
Answer:
6% of 530 is 31.8 hope this is what you ment
I will mark BRAINLIEST
Answer:
Im cochie man and give me points plz i need em im sorry :(
Step-by-step explanation:
Y=-1/5x+12
What is the y-intercept?
What is the slope?
Answer:
The slope is -1/5 and the y intercept is 12
Step-by-step explanation:
Y=-1/5x+12
This is in the form
y=mx+b where m is the slope and b is the y intercept
The slope is -1/5 and the y intercept is 12
Answer:
-1/5 = slope
12 = y-intercept
Step-by-step explanation:
y = mx + b
m is always equal to the slope
b is equal to the y-intercept
which makes -1/5 the slope
and makes 12 the y-intercept
A cylinder has a height of 5.3cm and a diameter of 3.0cm. What is its volume
Answer:
44.53
Step-by-step explanation:
I'm smort
hurry i only got 15 min
Answer:
Its the A
first
Step-by-step explanation:
3 is positive ( + )
2 is Negative ( - )