Answer:
3a + 2b ; a=1, b =-2
3
(
1
)
+
2
(
−
2
)
(substitute the values of the variables)
From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).
3
+
(
−
4
)
(simplify)
3
−
4
=
−
1
So here, what we've proven is that in our given equation, if
a
=
1
and
b
=
−
2
, then it would yield us a product of
−
1
.
Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.
Try another:
6
a
2
−
b
+
8
with a = 1 and b = 3
6
(
1
)
2
−
(
3
)
+
8
6 - 3 + 8
= 11
Just as a sidenote here, make sure you're aware of the difference between
(
6
x
)
2
and
6
x
2
. The former refers to both the 6 and the
x
being squared, whereas the latter shows only the
x
being squared. Just be careful not to mix the two.
Try one more:
2
c
−
5
3
b
+
4
with b = 2 and c = 4
2
(
4
)
−
5
3
(
2
)
+
4
=
8
−
5
6
+
4
=
3
10
(or 0.3)
Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.
Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
6a + 2b
6(1)+2(2)
6+4
=10
What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13 ? (1 point) Subtract 13 from both sides Divide both sides by 7 Add 5 to both sides Multiply both sides by 4\
It is add five two both sides.
How many five letter strings are there that start with a consonant and end with Y where repetition is not permitted
Answer: 242,880
Step-by-step explanation:
We know that:
We have 5 letters.
There is no repetition allowed.
The strings start with a consonant.
The strings end with the letter Y.
Ok, in our alphabet we have:
26 letters.
21 consonants
5 vowels.
Now, let's count the number of options for each one of the letters in the string.
First letter, this must be a consonant, initially, we can have 21 options, but this string must finish with an Y, and Y is a consonant, so it can not be in the first letter, then for the first letter we have 20 possible options.
Now we have a total of 26 - 1 - 1 = 24 letters left, where we subtracted the consonant for the first letter, and the Y for the last letter.
The options for the second letter will be 24.
The options for the third letter will be 23
The options for the fourth letter will be 22
For the last one we have a fixed value, so we have only one option.
The total number of combinations will be equal to the product between the numbers of options for each letter, this is:
C = 20*24*23*22 = 242,880 possible strings.
The volume of a hemisphere with radius x is V(x) = 2/3 πx3. The volume of a cube with a height of x is shown in the graph. When x = 2, which volume is greater?
The volume of the _________ is greater when x = 2.
(hemisphere or cubic)
Answer:hemisphere
Step-by-step explanation:
The volume of the hemisphere is greater when x = 2.
The formula for calculating the volume of a hemisphere is expressed as:
[tex]V=\frac{2}{3} \pi x^3[/tex]
Given that x = 2. Substitute x = 2 into the formula to get the volume of the hemisphere:
[tex]V=\frac{2}{3} \pi (2)^3\\V=\frac{16}{3}\pi\\V = 16.75 units ^ 3[/tex]
Next is to get the volume of a cube expressed as:
[tex]V = L^3\\Since \ L = x\\V = x^3\\V = 2^3\\V = 8 units^3[/tex]
Hence the volume of the hemisphere is greater when x = 2.
Learn more here: https://brainly.com/question/14022833
What is 4x2 - x + 17 when x = -7?
Answer:
32
Step-by-step explanation:
4 times 2 is 8, - -7 is 15 plus 17 is 32
A bike travels 24 miles in 3 hours. How many miles will the bike travel in 12 hours?
Answer:
72
Step-by-step explanation:
24 / 3 = 8
so
8*7 = 72
Answer:
72
Step-by-step explanation
24 / 3 = 8
so
8*7 = 72
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all employees at the company and wants to conduct a systematic sample of size.
Required:
a. What is k?
b. Determine the individuals who will be administered the survey.
Answer:
Explained below.
Step-by-step explanation:
The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
(a)
A sample of size 50.
Then the value of k will be: [tex]k=\frac{4502}{50}=90.04\approx 50[/tex]
Thus, the value of k is 90.
(b)
Label the employees from 1 to 4502.
And select every 90th employee.
So, the individuals who will be administered the survey are:
90th, 180th, 270th,...
find the slope of the line that passes through the point (-5,3) and (5,-3).
Answer:
-6/10 or -0.6
Step-by-step explanation:
m=y2-y1/x2-x1
-3-3=(-6)
5-(-5)=10
-6/10
hope this helps :3
if it did pls mark brainliest
16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories
Answer:
d. 165 calories
Step-by-step explanation:
First of all, we would find the amount of calories in 1 gram of the artificial sweetener
1 gram = 220/75
1 gram = 2.93 calories
Therefore, 484 grams has;
484 * 2.93 = 165.2
Approximately, this is equal to 165 calories.
Method 2
220 grams of the artificial sweetener has 75 calories.
484 grams of the artificial sweetener has x calories.
Translating the word problem into an algebraic equation, we have;
220 = 75
484 = x
Cross-multiplying, we have;
220x = 75*484
220x = 36300
x = 36300/220
x = 165 calories.
pls answer this asap will give brainliest
Answer:
C: The American antelope
Step-by-step explanation:
A music store has 1,440 CDs. Each CD rack holds 90 CDs. How many racks does the store need to use to hold all the CDs?
Answer:
16 cd racks
Step-by-step explanation:
1,440%90
4d + 3 - d + c Simplified Answer-Type Answer Here,
Two cyclists start from different locations and simultaneously begin heading toward each other. One of the cyclists travels 16 mph, while the other cyclists travels 22 mph. If the two cyclists are 342 miles apart, how many hours will it take for them to meet?
Answer:
The cyclists will meet after 9 hours.
Step-by-step explanation:
Let t be the time the cyclists need to meet.
16t + 22t = 342
38t = 342
t = 9
show that 4/9 - 1/6 = 5/18
Answer:
Step-by-step explanation:
4/9-1/6=5/18
Step-by-step explanation:
[tex] \frac{4}{9} - \frac{1}{6} [/tex]
[tex] (\frac{4}{9} \times \frac{2}{2} ) - ( \frac{1}{6} \times \frac{3}{3} )[/tex]
[tex] \frac{8}{18} - \frac{3}{18} [/tex]
5/18
Share 40 pound between two people at the ratio 1:4
Step-by-step explanation:
1+4=5
40:5=8
1*8=8
4*8=32
8:32
PLSSSS Does anyone know what questions the teachers ask in the module 2 DBA for flvs, grade 7 math?!
Answer:
This question gives out some personal info. Please be more careful on the internet.
Step-by-step explanation:
its say your grade and what state you live in.
Which algebraic expression is equivalent to the expression below?
(13x - 7) + (12 - 3x)
A.
10x + 5
B.
25x - 10
C.
16x + 19
D.
10x + 19
Answer:
10x + 5
A is the correct answer
Step-by-step explanation:
Who answers it first is the winner plz
Aranza wrote the equation below. What is the slope? __________ *
y=4x+3
Find the value of x and y.
12
9
y
X=
y =
Answer:
the value of x is 12, and the value of y is 9
Answer:
y=9
x=12
Step-by-step explanation:
this is because the top and bottom of the square are equal as well as from the sides of left to right.
Two math questions
Among all pairs of numbers whose sum is 14, find a pair whose product is as large as possible. What is the maximum product?
The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.
(Use a comma to separate answers.)
The maximum product is nothing.
and
- refer to picture
You move down 6 units. You end at (-5, -5). Where did you start?
Answer:
(-5, 1)
Step-by-step explanation:
(x, y)
x moves left/right
y moves up/down
x = -5
y = -5 + 6 = 1
(-5, 1)
How would you express the area of the rectangle using the Distributive Property?
Answer:
The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.
Step-by-step explanation:
Hope this helped, Have a Wonderful Day!!!
The sum of two numbers is 138. One number is 20 less than the other. Find the numbers.
Answer:
Step-by-step explanation:This is two variables and two equations. x and y will be the two different numbers.
1.x + y =138
2.x= y-20
plug #2 into #1.
(y-20) + y = 138
2y - 20 = 138
2y = 158
y = 79 and plug into #2 and find x.
x = 79-20 = 59 = x
Step-by-step explanation:
x + y = 138
x = y - 20
(y - 20) + y = 138
2y - 20 = 138
2y = 158
y = 79
Answer x = 79 - 20 = 59 = x
a nursery sells kentucky bluegrass seed for $5.75 per pound and tall fescue seed for $4.50 per pound. the nursery sells a mixture of the two kinds of seed for $5.25 per pound. let k represent the amount of kentucky blue grass seed the nusery uses in in 5 pounds of the mixture
Answer:
[tex]k=3[/tex]
Step-by-step explanation:
Given that:
Per pound cost of kentucky bluegrass seed = $5.75
Per pound cost of tall fescue seed = $4.50
Per pound cost of mixture of seeds = $5.25
[tex]k[/tex] is the amount of kentucky blue grass.
Total amount of the mixture = 5 pounds
Therefore, amount of tall fescue seed = (5 - [tex]k[/tex]) pounds
To find:
The value of [tex]k[/tex].
Cost of [tex]k[/tex] pounds of kentucky bluegrass seed = [tex]\$5.75k[/tex]
Cost of (5 - [tex]k[/tex]) pounds of tall fescue seed = [tex]\$(5-k)4.50[/tex]
As per question statement:
[tex]5.75k+(5-k)4.50=5.25\times 5\\\Rightarrow 575k+5\times 450 -450k=525\times5\\\Rightarrow 125k=75\times5\\\Rightarrow k =3\ pounds[/tex]
Amount of kentucky blue grass seed used = 3 pounds
Amount of tall fescue seed used = 5-3 = 2 pounds
Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}
Find the probability of the intersection of A and B.
Answer:
The required probability for the intersection of A & B = 0.25
Step-by-step explanation:
Given that:
Sample space S = {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Also;
A = {E1, E4, E6}
B = {E2, E4, E7}
C = {E2, E3, E5, E7}
Then
P(A) = 0.05 + 0.25 + 0.10 = 0.4
P(B) = 0.20 + 0.25 + 0.05 = 0.5
P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6
The intersection of A and B are:
P(A ∩ B) = E4
P(A ∩ B) = 0.25
The required probability for the intersection of A & B = 0.25
Given the following system of equations, identify the type of system.
x + y = 6
2x - y = -4
A. Consistent
B. Inconsistent
C. Equivalent
Step-by-step explanation:
I think is b i hope this works
Which expressions is equivalent to 21-(-5)
Answer:
21 + 5
Step-by-step explanation:
A negate minus a negative equals a positive
Answer:
(-5)-21
Step-by-step explanation:
use the cummutitive property to make a new equation out of the original one to get (-5)-21
Kaley and Tom both work at Publix. for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom if h represents the number of hours Tom worked? What is another way to write the expression?
The slope is the same as the unit rate and constant of a proportionality in a _______.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1
Answer:
I think the answer is B: Slope
Step-by-step explanation:
On a graph, proportional relationships are straight lines that extend through the origin. The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation.
Hope this helped, Have a Wonderful Day!!
The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
I
A local pizza shop charges $12.50 for a large, one-topping pizza. Each additional
topping is $1.25.
a. Write an equation for the total cost C of a large pizza with t toppings.
b. How much does it cost for a three-topping pizza?
c. How much does it cost for a five-topping pizza?
Answer:
12.50+1.25t=c for A
12.50+ (1.25x3)
/\
I
3.75
12.50+3.75=16.25 fro B
12.50+6.25=18.75
Step-by-step explanation:
u r welcome
If the ratio of the length of a rectangle to its width is 9/4 and its length is 18 cm, what is the width of the rectangle?
PLEASE ANSWER
Answer:
The width is 8
Step-by-step explanation:
if the ratio of length to width is 9 to 4. and we know the length is 18, 18 is 2 times as much as 9, so 4*2=8. 9*2=18,4*2=8
Answer:
The width of the rectangle is 8.
Step-by-step explanation:
I found this answer after taking a quiz and getting it wrong. After that I wanted to find this question on Brainly and answer it so others wouldn't get it wrong.
HOPE IT HELPS :)
