Answer:
C. SUBTRACT (2x) from both sides in the bottom equation
Step-by-step explanation:
Given
[tex]3x - 6y = -12[/tex]
[tex]2x + y = 12[/tex]
Required
The first step of a substitution method
In the second equation, notice that the coefficient of y is 1.
So, the first step is to make y the subject of the formula.
This is achieved by subtracting 2x from both sides of the equation.
[tex]2x + y = 12[/tex]
[tex]2x - 2x + y = 12 - 2x[/tex]
[tex]y = 12 - 2x[/tex]
Hence: (c) is true
t a school. number of boys/number if girls =9/7. there are 116 more boys than girls. work out the total number of students at the school
Answer:
928
Step-by-step explanation:
Ratio of boys to girls is 9:7, so boys are 9/(9+7) = 9/16 of the total, and the girls are 7/16
the difference is 9/16-7/16 = 2/16 = 1/8, so
x * 1/8 = 116
x = 116*8 = 928
A rectangle has an area of 48 square units and a perimeter of 32 units. What are its dimensions?
What’s the equation of the line in fully simplified slope-intercept form
Answer:
y= -x - 8
Step-by-step explanation:
To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.
Round 3.6481 to the hundredths place (two decimal places).To the right
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.
Answer:
5.34 pages/h
Step-by-step explanation:
4/45 = p/60
p ≈ 5.34
Answer:
Step-by-step explanation:
3/4 of an hour is the same as 0.75
Write a proportion.
4 (pages)/0.75 (hours)=p(pages)/1 hour
Cross multiply and divide
(4x1)÷0.75=5.33 (rounded to the nearest hundred)
p=5.33
Marcia can type 5.33 pages per hour.
Shivaun claims that the opposite of the opposite of a number is itself.
Which of the following equations supports this claim?
1-6 = 6
-6=6
-(-6) = 6
-6+6 = 0
3x less than 2 times the sum of 2x and 1 is equal to the sum of 2 and 5
Answer:
5
Step-by-step explanation:
PLEASE HELP!!! *WILL MARK YOU BRAINIEST*
Answer:
Hey There!
The answers are D and H
Step-by-step explanation:
The radius of a circle is 7 m. Find its circumference in terms of pi.
Answer:
Step-by-step explanation:
Circumference is 2pir
So 14pi meters
Math!!!! Fined the area of the triangle
Answer:
Area = 40 cm²
Step-by-step explanation:
Area of triangle is derived by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Length of Base = 8 cm
Height of the triangle = 10 cm
Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]
= 40 cm²
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
What transformation preserves angle measures but not side lengths?
Translation
Rotation
Reflection
Dilation
Answer:
translation
Step-by-step explanation:
I'm pretty sure
Which, if any , of the following equality’s is incorrect ?
Answer:
x = 32 is incorrect
Step-by-step explanation:
[tex]32 = \frac{1}{2} (x + 16) \\ \\ 32 \times 2 = x + 16 \\ \\ 64 = x + 16 \\ \\ x = 64 - 16 \\ \\ x = 48 \\ \\ y =360-(48+114 + 16) \\ \\ y =360-178 \\ \\y = 182 \\ \\ 4 \times n = 6 \times 3 \\ \\ n = \frac{18}{4} \\ \\ n = 4.5[/tex]
Cristian divides 6 cups of fruit juice equally among 8 friends. Two of his friends don't drink the juice. How much juice is left over?
A. 3/4 cup
B. 1.5 cups
C. 4 1/2 cups
D. 5.25 cups
Why?
please help
Answer:
B. 1.5 cups
Step-by-step explanation:
6/8 = 0.75
each person gets 0.75 each
Since 2 people chose not to drink the juice. the left overs would be 0.75*2
0.75*2=1.5
What would be the first step to solve this equation x - 5 (x-1) = x - (2x- 3 )
Which value of x makes the following equation true? 5 x + 3 x = 72 x
Answer:
I might be wrong
Step-by-step explanation:
x= 9? sorry if that's wrong
Answer:
x =9
Step-by-step explanation:
take off the x
add 5+3=8
divide 72 by 8
answer is 9 so x=9
you can double check by multiplying 5×9 then 3×9 then adding your answers together to give you 72
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
I need help With this
Answer:
Step-by-step explanation:
C
Answer: A
Step-by-step explanation:
There u go
which of these health care plans do federal and state governments offer?
what is the GCF of: 18k and 15k3
and how do you get that answer
Answer:
List all the factors for 18,15 to find the common factors. The common factors for 18,15 are 1,3 . The GCF for the numerical part is 3 . The factor for k1 is k itself.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since
18
k
,
15
k
3
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
18
k
,
15
k
3
:
1. Find the GCF for the numerical part
18
,
15
2. Find the GCF for the variable part
k
1
,
k
3
3. Multiply the values together
Find the common factors for the numerical part:
18
,
15
The factors for
18
are
1
,
2
,
3
,
6
,
9
,
18
.
Tap for more steps...
1
,
2
,
3
,
6
,
9
,
18
The factors for
15
are
1
,
3
,
5
,
15
.
Tap for more steps...
1
,
3
,
5
,
15
List all the factors for
18
,
15
to find the common factors.
18
:
1
,
2
,
3
,
6
,
9
,
18
15
:
1
,
3
,
5
,
15
The common factors for
18
,
15
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
k
,
k
3
The factor for
k
1
is
k
itself.
k
The factors for
k
3
are
k
⋅
k
⋅
k
.
k
⋅
k
⋅
k
List all the factors for
k
1
,
k
3
to find the common factors.
k
1
=
k
k
3
=
k
⋅
k
⋅
k
The common factor for the variables
k
1
,
k
3
is
k
.
k
The GCF for the variable part is
k
.
GCF
Variable
=
k
Multiply the GCF of the numerical part
3
and the GCF of the variable part
k
.
3
k
¡23
120+3
Use the example as a model. Simplify the
expressions.
= i20 i3
37
DONE
= 15 x 13
= 1 x 13
= -i
Answers are in the picture (don’t need to answer this question this is just here cause It hasn’t been answered yet)
Answer:
Hola hablo alemana
Step-by-step explanation:
Andrew wants to ride his bicycle 36 miles this week. He has already ridden 18 miles. If he rides for 5 more days, what is the average number of miles he would have to ride each day to meet his goal?
Answer:
3.6 miles
Step-by-step explanation:
hope this helps
A baker uses 3/4 teaspoon cinnamon for every 2/3 can of pumpkin when making pumpkin muffins. How much cinnamon does the baker need for each can of pumpkin?
Answer:
9/8 teaspoon
Step-by-step explanation:
The original ratio is 0.75:0.66 (x:y). We need to find x when y = 1.
0.66*1.5 = 1
So, if the original y was multiplied by 1.5 to get 1 (which we need) then we can multiply the original x to get our answer.
0.75*1.5 = 1.125
Convert into fractional form:
1.125 = 9/8
Your answer is 9/8 teaspoon of cinnamon per one can of muffins.
Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?
What is the answer to 6= m + 6
Answer:
m= 0
Step-by-step explanation:
6=m+6
6−6=m+6−6
m=0
brainliest would be appreciated. have a great day :)
solve the equation 12n-60
Answer:
n-5
Step-by-step explanation:
A die is rolled 3 times. What is the probability of getting 1's on each roll?
0.5
Step-by-step explanation:
1/6 times 3 equals 0.5 or 3/6 or 1/2
Will give brainliestt
Answer: (-5, -3)
Step-by-step explanation:
(-10, -6)
-10/2 = -5
-6/2 = -3
Zack and Dave each bought some coins from jerry online. Dave bought 5 more coins than Zack bought
C. Explain why it’s not necessary to know how many coins Zack bought to determine how much more Dave paid than Zack paid
Answer & Step-by-step explanation:
number of Dave's coins = number of Zack's coins + 5
The question is asking to find the difference in prices paid (thus "more"), completely unrelated to the number of coins Zack bought as these two numbers are independent of one another. The difference in price can be found by simply multiplying the cost of one coin by 5.
Bob can complete his Math homework in
2.5 hours, but if he works with Joe they can finish in 1.5 hours. How long would it take Joe to finish his homework on his own?
Answer:
3.75 hours
Step-by-step explanation:
Bob completes his homework in 2.5 hours.
In 1 hour, he completes 1/2.5 of his homework.
Joe completes his homework in x hours.
In 1 hour, he completes 1/x of his homework.
Together, they complete the homework in 1.5 hours.
In 1 hour, they do 1/1.5 of the homework.
1/2.5 + 1/x = 1/1.5
Convert the decimal numbers in the numerators into fractions.
1/(5/2) + 1/x = 1/(3/2)
2/5 + 1/x = 2/3
Multiply both sides by the LCD, 15x.
6x + 15 = 10x
-4x = -15
x = 3.75
Answer: 3.75 hours
At the end of the month, a restaurant manager used the total food sales for the month and the total number of customers for the month to calculate the mean about spent per customer during that month was $12.59. Is this value a statistical or a parameter? Explain.
Answer:
Step-by-step explanation:
It is a parameter, I think. The population is limited to all of the restaurant's customers. Presumably they don't come in to look at the waitresses -- although that might happen. They are there for coffee donuts or a meal, so they are spending money, that's what all of them have in common.
So the population is very confined and very well defined.
The owner is finding a mean. Anything like this is a parameter which defines some aspect of the population.