Answer:
The difference of weight is [tex]2[/tex] pounds.
Step-by-step explanation:
Given: The line plots shows the weights of [tex]9[/tex] grapefruits
To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex] grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.
Firstly, we need to convert the given mixed fractions as following:
[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]
[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]
Now, we know that,
Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.
In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh others weigh.
We need to observe the dot diagram to know how many grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of [tex]\frac{3}{2} lb[/tex] and how many points there are about class of [tex]\frac{5}{4} lb[/tex].
Then, the total difference between all grapefruit of pounds and all grapefruit of pounds is calculated as follows:
[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]
Where
[tex]Z[/tex]: Weight difference
[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex] grapefruit
[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit
Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex] and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex] pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]
Now,
[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]
[tex]=\frac{9}{2} -\frac{5}{2}[/tex]
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
Hence, for this case, the difference of weight is [tex]2[/tex] pounds.
Find the value of x
?????
Answer:
2x+57°+x=180 ( angle sum property of triangle)
3x=123
x=41
Need help with this question
Answer:
Correct answer is no. 1
Step-by-step explanation:
Answer:
Choice A, or the first choice, should be the answer
Step-by-step explanation:
By using the process of elimination, you can cross out choices B and C because the speed limit is 30.
The speed limit is 30, thus your speed can be at 30 mi/h.
Choice A is the last and the correct answer.
Tasha believes that she can rewrite the differences 48-36 as a product of the GCF of the two numbers and another difference. Is she correct?
Answer:
Tasha is correct
Step-by-step explanation:
Answer:
Yes she is correct.
Step-by-step explanation:
It costs $60.00 to rent the gymnasium, plus $5.00 per person. What would be the total cost to rent the gymnasium for 40 people?
Solve 37+z≤54
then graph the solution
plz help w these 5 problems. i’m begging anyone ! please please please .
Answer:
what the question
.
.
.
.
.
Marking brainless (how ever u spell this)!
Answer:
brainliest*
Step-by-step explanation:
c
Given a system of two equations in Two variable, replacing one equation by the sum of that equation and multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. Use addition property of equality and multiplication property of equally in your answers.
1. To solve the system using elimination, First multiply the bottom equation by two. Write the new system of equations.
5x+2y=7
2. Why is this multiplication allowed?
3. What variable will be eliminated when the equations are combined after the multiplication?
4. Next, add the equations tighter. Your answer should be a single equation with one variable.
5. Why can you add the equations
6. Solve the equations for x
7. Substitute x back into one of the equations solve for y
8. What is the solution to the system of the equations?
Please I need this in 24 hours
Answer:
5x + 2y = 7
3x � y = 2
multiply the second equation by 2 and leave the first equation as is to get:
5x + 2y = 7
6x � 2y = 4
add the second equation to the first equation to get:
11x = 11
divide both sides of that equation by 11 to get:
x = 1
replace x with 11 in the first original equation to get:
5x + 2y = 7 becomes 5 + 2y = 7
solve for y to get y = 1
your solution is x = 1 and y = 1
confirm by replacing x and y with 1 and 1 in both original equations to get:
5x + 2y = 7 becomes 5 + 2 = 7 which is true.
3x � y = 2 becomes 3 - 1 = 2 which is true.
Step-by-step explanation:
Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use addition property of equality and multiplication property of equality in your answers.
5x + 2y = 7
3x � y = 2
A1. To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.
B1. Why is this multiplication allowed?
C1. What variable will be eliminated when the equations are combined after the multiplication?
D1. Next, add the equations together. Your answer should be a single equation with one variable.
E1. Why can you add the equations?
F1. Solve the equation for x.
G1. Substitute x back into one of the equations to solve for y.
H1. What is the solution to the system of equations?
I hope this helps! ο(=•ω＜=)ρ⌒☆plzzzzzzzzzzz answerrrrrrrrrrrrrrrr i need it asap
Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision.
Answer: 120
%
=
1.2
If Maxine is correct, then she spent
1.2
times the hours she did homework than last week.
15
⋅
1.2
=
18.0
=
18
15 hours
⋅
1.2
=
18.0 hours
=
18 hours
This means that Maxine is correct.
HOPE THIS HELPS
Convert the following measurements:
34 mm
cm
23 kL
L
16 mg
II
Com
3 km
2 g
=
mg
Step-by-step explanation:
a.3.4cm
b.23000l
c.0.016g
d.3000m
e.2000mg
answers for both boxes for 25 points
Step-by-step explanation:
gave you in Photo..... please do mark as brainlist
I need help please help me number 3 and 4
3. is 10 add 5 or round 5 its 10 4. is 28 and i just added sorry if 4 is wrong
What is a simplified expression term for -10f + -9f + 7
Answer:
-19f + 7
Step-by-step explanation:
group the fs
-19f + 7
is the simple expression
A gray crayon is made with 5\text{ mL}5 mL5, start text, space, m, L, end text of black wax for every 6\text{ mL}6 mL6, start text, space, m, L, end text of white wax.
Step-by-step explanation:
Given that,
A gray crayon is made with 5 mL of black wax for every 6 mL of white wax.
We need to find the mixture will create the same shade of gray.
For this we need to make the ratio same.
If we multiply 5 mL and 6 mL by 3 to make the ratio same.
5 mL × 3 = 15 mL
6 mL × 3 = 18 mL
Hence, 15 mL of black wax mixed with 18 mL of white wax is mixed so as to make the ratio same.
Answer:
15ml of black wax mixed with 18ml of white wax
35ml of black wax mixed with 42ml of white wax
Step-by-step explanation: Khan Academy
Find the area of the triangle
Answer:
I believe the answer would be 12
Step-by-step explanation:
Somebody help me plz
Answer:
[tex]f(-1)=0[/tex]
Step-by-step explanation:
[tex]f(a)=2a-2\\\\f(-1)=2(-1)-2\\\\f(-1)=-2+2\\\\f(-1)=0[/tex]
PLZ PLZ someone help me
Answer:
y=4/5x
Step-by-step explanation:
The Mallards pay their two quarterbacks $7.2 million and $1.4 million. If the team salary is $33 million a year and their budget for quarterbacks is 25% of total salaries. Are they over budget? a) Yes b) No
Answer:
a) Yes
Step-by-step explanation:
The computation is shown below:
Given that
Their two quarterbacks is $7.2 million and $1.4 million
Its total is
= $7.2 million + $1.4 million
= $8.6 million
Now if the team salary is $33 million
And their budget is 25% of total salaries
i.e.
= $33 million × 25%
= $8.25 million
So as we can see that it it overbudget as the target is $8.25 million but it is $8.6 million
SO, the correct option is a.
Answer:
Yes
Step-by-step explanation:
Fill in the table using this function rule.
y = 3 + 5x
X
1
1
3
0
4
5
Answer:
1=8
1=8
3=18
0=0
4=23
5=28
please mark the brainliest
Which statements are true about the function f(x) = –|x| – 2? Check all that apply.
The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.
Answer:
a c d f
Step-by-step explanation:
Answer:
its (c) and (d)
Step-by-step explanation:
a sports store sells three different packs of tennis balls. which pack is the best to buy? 4 sleeves for 11.49, 6 sleeves for 16.79, 9 sleeves for 22.99
Answer:
9 sleeves for 22.99
Step-by-step explanation
The first pack has a unit rate of $11.49/ 4 balls
=$2.8725
The second pack has a unit rate of $16.79/6balls
=$2.798 per ball
the third pack has a unit rate of $22.99/9balls
=2.554
So, I would definitely go for the third pack since it has the least cost.
What is 1/4 X 3/5= ?
Answer:
1/4 x 3/5 = 3/ 20
decimal form = 0.15
Bring 8/(a-x) to a denominator of x-a
Answer:
[tex]-\frac{8}{x-a}[/tex]
Step-by-step explanation:
[tex]\frac{8}{a-x}[/tex]
we can take common factor of -1 in the denominator
[tex]\frac{8}{-(-a+x)}=\frac{8}{-(x-a)}[/tex]
and now multiply and divide by -1
[tex]\frac{8}{-(x-a)}\cdot \frac{-1}{-1}=\frac{-8}{x-a}=-\frac{8}{x-a}[/tex]
whats the equation for the perpendicular bisector of the line segment whose endpoints are (-5,3) and (3,7)?
Answer:
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Step-by-step explanation:
Given points are:
(-5,3) and (3,7)
The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.
First of all we have to find the slope and mid-point of given line
Here
(x1,y1) = (-5,3)
(x2,y2) = (3,7)
The slope will be:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]
The mid-point will be:
[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]
Let m1 be the slope of the perpendicular bisector
Then using, "Product of slopes of perpendicular lines is -1"
[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]
We have to find the equation of a line with slope -2 and passing through (-1,5)
The slope-intercept form is given by:
[tex]y = mx+b\\y = -2x+b[/tex]
Putting the point (-1,5) in the equation
[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]
The final equation is:
[tex]y = -2x+3[/tex]
Hence,
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
7. Triangles CDE and RST are similar triangles. What is
the length of side CD in triangle CDE?
R
40 ft.
32 ft.
20 ft.
T
S
Answer:
CD = 25 ft
Step-by-step explanation:
[tex] \triangle CDE \sim \triangle RST[/tex]
[tex]\therefore \frac{CD}{20}=\frac{40}{32}[/tex]
(Corresponding sides of similar triangles are in proportion)
[tex]\therefore \frac{CD}{20}=\frac{5}{4}[/tex]
[tex]\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}} [/tex]
[tex]\therefore CD = 5\times 5[/tex]
[tex]\therefore CD = 25\: ft[/tex]
Answer:
CD = 25 ft
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{CD}{RS}[/tex] = [tex]\frac{CE}{RT}[/tex] , substitute values
[tex]\frac{CD}{20}[/tex] = [tex]\frac{40}{32}[/tex] ( cross- multiply )
32CD = 800 ( divide both sides by 32 )
CD = 25
Mai skated x miles, and Clare skated ⅗ farther than that. Write an expression for the distance Clare skated.
Answer:
Its either 8x/5 or 5x/8
im not sure sorry.
Do y’all know the answer to this !?
Answer:
Step-by-step explanation:
set jk and kl equal to each other bc they are the same length (we know this bc of the midpoint)
3x - 1 = 2x + 8
x = 9
substitute 9 in an equation
2(9) = 8 = KL
18 + 8
26 = KL
since KL is the same length as JK we can just multiply 26 * 2
JL = 52
hope this helps <3
A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 4 dollars less than the cost of a hardback book. Recently, one day of sales totaled $1065.10. That day the bookstore sold 51 paperback books and 47 hardback books. Write a system representing this situation. Use the graph to estimate the solution of the system. What does the solution mean in this situation? How much does each type of book cost? Use substitution to verify your solution.
Answer: for one hard cover book it is about $17 and paperback is $13
Step-by-step explanation:
in the computer lab, there are 1 PC every 5 Mac computers. if the computer lab has a total of 24 computers, how many are Mac?
Answer:
20 of the computers are Mac
Step-by-step explanation:
if 1 pc = 5 Mac
4 pc = 20 mac
add 4 + 20 you get 24 which is the total number of computers
Two rectangles are similar. The
ratio of the length of rectangle A
to the length of rectangle B
is 1:4. If the length of rectangle
B is 14 meters, what is the
length of rectangle A?
