Answer:
B
Step-by-step explanation:
Topic: Coordinate Geometry
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A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
10-pound mixture that would sell for $80?
Answer:
4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let w = wooden block
Let p = plastic bricks
Given the following data;
Price of wooden block per pounds = $5
Price of plastic brick per pounds = $10
*Translating the word problem into an algebraic equation*
For the 10-pound mixture;
[tex] w + p = 10[/tex] .........equation 1
For the $80 mixture;
[tex] 5w + 10p = 80[/tex] ..........equation 2
Solving the linear equation by using the substitution method;
Making w the subject in equation 1:
[tex] w = 10 - p[/tex] .......equation 3
Substituting "w" into equation 2;
[tex] 5(10 - p) + 10p = 80 [/tex]
Simplifying the equation, we have;
[tex] 50 - 5p + 10p = 80 [/tex]
[tex] 50 + 5p = 80 [/tex]
Rearranging the equation, we have;
[tex] 5p = 80 - 50[/tex]
[tex] 5p = 30 [/tex]
[tex] p = \frac {30}{5} [/tex]
p = 6 pounds (For the plastic brick).
To find w;
Substituting "p" into equation 3;
[tex] w = 10 - 6[/tex]
w = 4 pounds (For the wooden block).
Help please ASAP I don’t really understand it!!
A constant function is a
function of the form
= b . The slope of a constant function is
Answer:
The slope of the constant function is 0
Step-by-step explanation:
The equation of the constant function is f(x) = b, where b is the y-interceptThe constant function is represented graphically by a horizontal line, the y-coordinates of all points lie on it is bThe slope of any horizontal line is 0 because the difference between the y-coordinates of any two points on the line is 0, then m = 0, so its equation is y = b∵ The equation of the constant function is in the form f(x) = b
∵ The equation of the horizontal line is y = b
∴ f(x) = y
∵ The slope of the horizontal line is 0
∴ The slope of the constant function is 0
We want to get the slope of a constant function, we will see that the slope is equal to zero.
Linear functions:
A general linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
For the case of the constant function we have:
y = b
Notice that we can rewrite this as:
y = 0*x + b
Then is easy to see that the slope of the constant function is equal to 0.
If you want to learn more about linear functions, you can read:
https://brainly.com/question/14323743
1. Tyrel walks Mrs. Murray's dog each day for $10 per week. How much does he earn each day for walking the dog?
Answer:
$1.42 / day
Step-by-step explanation:
Divide 10 by 7. 10 for the amount of money being paid, 7 for the amount of days in a week.
Sansra and bernice are starting a nutrition and exercise that will last 12 weeks. Sandra is starting at 150 pounds and plans to lose 1 pound a week. Bernice is starting at 135 and plans to lose 1/2 a pound a week. When during the program will sandra weight the same?
Answer:
They won't have the same weight during the program
Step-by-step explanation:
Let w = number of weeks
SANDRA:
Starting weight = 150 pounds
Weight lost per week = 1 pound
150 - w
BERNICE:
Starting weight = 135 pounds
Weight lost per week = 0.5 pound
135 - 0.5w
WEEK in which they'll weigh the same :
150 - w = 135 - 0.5w
150 - 135 = - 0.5w + w
15 = 0.5w
w = 15/ 0.5
w = 30
Since the program will last 12 weeks, they'll not have the same weight during the program
Solve
3+ (1/4)a = 31
Answer:
a=112
Step-by-step explanation:
3+(1/4)a=31
-3 -3
(1/4)a=28
*4 *4
(1)a=112
If Jerome were to roll two dice 48 times, about how many times could he expect to roll doubles? Group of answer choices 18 times 12 times 8 times 6 times
Answer: 8 times
Step-by-step explanation:
There are 1/6 chance everytime you roll, so if you x48 is is 48/6 which is 8 times!
Please help me.Huryyyy!!! Whoever answers first gets brainiest!!!
what do I need to answer?
Answer:
what do i answer lol
Step-by-step explanation:
Pls help me plsss which story represents the graph below
Answer:
third answer: both of the above
Step-by-step explanation:
The graph shows a small increase, then the data stays the same, it declines, and then has a sharp increase. Both stories portray that.
Which equation can be used to find the solution of (1/2)^2x=32
-2x=5
2x=5
1/2x=5
-1/2x=5
Answer:
-2x = 5Step-by-step explanation:
(1/2)^2x=322^(-2x) = 2^5-2x = 5Correct option is the first one
2 p
In a nursery, there are 5 adults and 14 children. Write the ratio of adults to
children in the form 1:n
*
can someone help me?
Answer:
5:14
Step-by-step explanation:
The ratio of adults to children using the form 1:n would look like this:
number of adults : number of children
So:
5 adults : 14 children = 5:14
Answer:
1 : 2.8
Step-by-step explanation:
in such a case what the question is asking you to is to compare the numbers and simplify them with the left hand number.
ratio of adult to children
write it as 5:14
put the 1 :n underneath
5 : 14 what we want to find is the n. among the 2 sides one is complete
1 : n only whole numbers. to get n look at the complete side . if
5:1 14=14 x 1 /5(cross multiplication). or you can
divide both sides by the left hand number(5)
5 and 14 = 1 : 2.8
5 5
the n is what we were trying to find and compare it to 1
this means for every 1 adult there are 2.8 children
help me pls i want to pass my math class
Answer:
d
Step-by-step explanation:
The function is nonlinear. Linear is a straigt line and this function has a curve. You can find that by thinking of the story or placing it on a graph.
Answer:
d
Step-by-step explanation:
the answer is non-linear because a linear function would only have the first part not 9x+4
Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?
unrounjrfStep-by-step explanation:
Boris pushes a 5 lb. box 6 feet in 2 seconds. He has _____.
done 50 ft-lbs. of work
a power output of 30 ft-lbs./sec
a power output of 15 ft-lbs./sec
not done work
Answer:
B.
Step-by-step explanation:
Write an equation in point slope form of the line with the slope of 4 that passes through (-2,-5)
Answer:
y=4x+3Step-by-step explanation:
m =4
[tex](-2,-5)=(x_1,y_1)[/tex]
Substitute values into slope intercept form
[tex]y-y_1=m(x-x_1)\\\\y-(-5)=4(x-(-2))\\\\y+5=4(x+2)\\\\y+5=4x+8\\\\y=4x+8-5\\\\y=4x+3[/tex]
Find the perimeter of the figure if the following is true:
A= x^2
B= 4x + 8
C= 2x^2
D= x
The perimeter of a figure is the distance around the outside of the figure. To find the perimeter of this figure, we need to add the lengths of all sides. This is:
P = A + B + C + D
P = x² + 4x + 8 + 2x² + x
P = 3x² + 5x + 8
The perimeter is 3x² + 5x + 8.
The amount of Kelly’s paycheck varies directly with the number of hours she works. Kelly receives $133.25 for 13 hours of work.
(a) Write a direct variation equation that relates the amount of Kelly’s paycheck, p, to the number of hours, h, Kelly works.
(b) Use the equation to find the number of hours Kelly works when her paycheck is $246.
(c) Use the equation to find the amount of Kelly’s paycheck when she works 40 hours.
MUST SHOW ALL WORK WILL MARK BRAINLEST TO WHOEVER ANSWERS CORRECTLY
Answer:
A)
[tex]y=10.25x[/tex]
B)
24 hours
C)
$410
Step-by-step explanation:
We are given that Kelly’s paycheck varies directly with the number of hours she works.
We know that she received $133.25 for 13 hours of work.
Part A)
The standard form for the direct variation equation is:
[tex]y=kx[/tex]
Where k is the constant of variation.
Here, y is the paycheck amount and x is the number of hours Kelly worked.
We know that Kelly received $133.25 for 13 hours of work. Hence, y = 133.25 when x = 13:
[tex]133.25=13k[/tex]
Solve for k:
[tex]k=10.25\\[/tex]
Therefore, our constant of variation is 10.25.
We can substitute this into our equation:
[tex]y=10.25x[/tex]
Therefore, our direct variation equation is:
[tex]y=10.25x[/tex]
Contextually, the equation tells us that Kelly earns $10.25 per hour.
Part B)
Using the equation, we can determine the the number of hours Kelly worked to earn $246. We can substitute 246 for y:
[tex]246=10.25x[/tex]
Solve for x:
[tex]\displaystyle x=\frac{246}{10.25}=24[/tex]
Therefore, x = 24.
Therefore, Kelly must’ve worked 24 hours for her paycheck to be $246.
Part C)
We can use our equation. This time, we will substitute 40 for x and evaluate. Hence:
[tex]y=10.25(40)=\$410[/tex]
So, Kelly will earn $410 for working 40 hours.
PLEASE HELP QUICK
If two angles form a linear pair, then they are adjacent and
O congruent
O supplementary
O complementary
O perpendicular
Answer:
Supplementary
Step-by-step explanation:
2 angles that form a linear pair (180°) is supplementary
Therefore, the sum of two rational numbers will
always be
Answer: Itll always be a rational number and never zero
Step-by-step explanation:
Answer:
A rational number (The third option).
Step-by-step explanation:
1. By definition, rational numbers have the following form, where and are integers and [tex]b\neq 0[/tex].
2. Therefore, when you add two rational numbers, the result will be a rational number.
3. An example is shown below:
[tex]\frac{1}{5}+\frac{2}{5}+\frac{3}{5}[/tex]
The result is a fraction whose numerator and denominator are integers.
Points for people that need them :)
Answer:
Thank you so much!!!
You're the best!!!!
Answer:
thx ☺️
ehehhehehehe
Step-by-step explanation:
so thx!
Which of these numbers is four less than a square number?
A 3
B 20
C 37
D 45
Answer:
D
Step-by-step explanation:
You first add 4 to all of the numbers giving you 7, 24, 41, and 49. Only choice D is a perfect square. for reference, 7*7=49
Answer:
45
Step-by-step explanation:
basically what we are trying to find is x + 4= square
for you to understand this better, take eg 5.
5 + 4 = 9
| \
four less than the square number( 9 is the square of 3)
we took the square of 3 and subtracted 4 from it making the result 4 less
12 + 4 = 16
| \
four less than the square number( 16 is the square of 4)
we took the square of 4 and subtracted 4 from it making the result 4 less
understanding that,
a)3
3 + 4 = 7
there is no square root of 7 X
b)20
20 + 4 = 24
there is no square root of 24 X
c)37
37 + 4 = 41
there is no square root of 41 X
d) 45
45 + 4 = 49
the square root of 49 = 7
answer=49
The average of 16 numbers is 70. If the average of 15 of these numbers is 17, then the 16th number is?
Answer:
865
Step-by-step explanation:
16*70=1120
15*17=255
1120-255=865
PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.
Answer:
C).
Step-by-step explanation:
-3x+2 and[(-)(x^2+5x)
3x+2 and (-x^2+5x)
3x+2-x^2+5x
-x^2-8x+2
Hope this Helps :)
Which expression is equivalent to 30 degrees? WILL DO BRAINLIEST
Options in picture below! Timed test, thanks for your help!
Answer:
It is the second one :D
Answer:
I think it’s C
Step-by-step explanation:
PLEASE HELP! (don't graph, give me the coordinates and i will graph myself)
Answer:X=3
y= -4
Step-by-step explanation:
If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.
so solving for x, 4x=12--> x=3, since y=0 in this scenario.
Solving for y, x=0, so -3y=12--> y=(-4)
9514 1404 393
Answer:
see below for a table
Step-by-step explanation:
You can easily identify intercept points by solving for one variable when the other is zero.
x-intercept (y=0)
4x = 12
x = 12/4 = 3
y-intercept (x=0)
-3y = 12
y = 12/-3 = -4
So, the coordinate pairs of these points are ...
(3, 0) and (0, -4)
__
If you solve for y, you get ...
-3y = 12 -4x
y = (4/3)x -4 . . . . . divide by -3
This suggests that x being a multiple of 3 will be useful for finding integer values of y.
We already have points for x=0 and x=3. We can add points for x=6 and x=-3.
y = 4/3(6) -4 = 4
y = 4/3(-3) -4 = -8
So, the additional points are ...
(6, 4) and (-3, -8)
Select the equations in which
w
=
100
makes the equation true. Select all that apply.
A.
0
.
54
÷
w
=
0
.
0054
B.
4
,
086
÷
w
=
4
.
086
C.
362
.
7
÷
w
=
3
.
627
D.
5
.
3
÷
w
=
0
.
0053
E.
21
.
9
÷
w
=
0
.
219
Answer:
5.19
Step-by-step explanation:
FREEE POOOINTTTSSSS FORRRR ANNYYYOONNNEEE WHOOOO HELPSSSS MEEEEE PLZZZZ ASAP
Which expressions give the monthly pay of an employee with 33 hours of training
Answer:
A-33(PAY) OR 33(P)
B-33 x pay or 33 x p
C-hours(33)or H(33)
D-pay(33) or p(33)
its D is correct hope this helps
Sharon’s organization hopes to raise more
than $10,000 at their annual 5k race. what is the inequality?
Two teachers, Mr. Meehan and Mrs. Chipps, decide to buy compasses and rulers for their classrooms. Mrs. Chipps buys 30 compasses and 50 rulers for $95. Mr. Meehan buys 40 of each for $116. What are the individual costs of the compasses and rulers that were purchased? Explanation Please
Answer:
compass = $ 2.50 each ruler = $ 0.40 eachStep-by-step explanation:
Mrs. Chipps buys 30 c + 50 r = $95
Mr. Meehan buys 40 c + 40 r = $116 x (-1.25) to eliminate r
30 c + 50 r = $ 95
-50 c - 50 r = $-145
-20 c = -50
c = 50 / 20
c = $2.5
substitute c = 2.5 into eq. 1
30 c + 50 r = $95
30 (2.5) + 50 r = 95
75 + 50 r = 95
50 r = 95 - 75
r = 20 / 50
r = 0.40
therefore, the individual costs of the compasses and rulers are:
compass = $ 2.50 each
ruler = $ 0.40 each