Answer:
a=8
Step-by-step explanation:
solve for a by adding 5 on both sides
4a=32
Now divid 4 on both sides
a=8
PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.
Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.
Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.
Answer:
Part A - 17 full weeks
Part B - 8 hours and 30 minutes
Step-by-step explanation:
Key skills needed: Rate of change, Equation Creating & Solving
PART A
1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00
Since he saves the rest, the amount of money he saves each week is
---> $6.00 - $2.00 = $6 - $2 = $4
2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"
Since the game costs $68 we can make the equation
--> [tex]4w = 68[/tex]
4 is the money he saves each week.
w is the number of weeks he saves
68 is the cost of the game
3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]
(68 divided by 4 is equal to 17)
Therefore 17 full weeks is your answer.
Part B
1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.
30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)
2) So if we say the number of hours is "[tex]h[/tex]", the equation we can make is
---> [tex]8h = 68[/tex]
8 is the money he makes per hour
h is the number of hours he mows the lawns
68 is the cost of the game he wants to buy for his friend
3) Divide both sides by 8 and you will get
--> [tex]h = 8.5[/tex]
(68 divided by 8 is 8.5 (8 and a half))
This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.
8.5 hours is the same as 8 hours and 30 minutes, which is the answer.
Hope you understand and have a nice day!! :D
if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180
Answer:
The answer is 80 :)
Step-by-step explanation:
The graph shows the distance Maria traveled from home in miles (y) as a function of time in seconds (x). Image is down below:
Which segment shows Maria waiting for a cab? (5 points)
P
Q
R
S
Answer:
The answer is point Q
Step-by-step explanation:
Find the solution of these two equations. Y=1/5x-7 and y=-x-1
Answer:For the first one it would be x=35
And the 2nd one would just be x=-1
Step-by-step explanation:
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Look at picture.
Approximate how many times greater Saturn's mass is than Mercury's.
A) 200,000
B) 2,000,000
C) 2,000
D) 20,000
Answer:
2000 times
Step-by-step explanation:
Given
Sara:
[tex]Mercury = 3.302 * 10^{23[/tex]
[tex]Saturn = 5.685 * 10^{26[/tex]
Sam:
[tex]Mercury = 3.302 * 10^{29[/tex]
[tex]Saturn = 5.685 * 10^{32[/tex]
To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:
[tex]Times = \frac{Saturn}{Mercury}[/tex]
Using Sara's measurement; this gives:
[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]
Apply law of indices
[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]
[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]
[tex]Times = 5.685/3.302 * 10^3[/tex]
[tex]Times = 1.72 * 10^3[/tex]
Approximate
[tex]Times = 2 * 10^3[/tex]
[tex]Times = 2000[/tex]
2. 124 2. 1
tell what theroem you used in each class
Answer:
Vertical Angles Theorem
Step-by-step explanation:
I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.
1. Another line k is perpendicular to line j and passes through
The equation for line j can be written as y =1/2x-1
the point (6, -6). Choose the equation for line k.
Answer:
The equation for line k is [tex]y = -2x + 6[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope.
When two lines are perpendicular, the multiplication of their slopes is -1.
The equation for line j can be written as y =1/2x-1
Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:
[tex]\frac{1}{2}m = -1[/tex]
[tex]m = -2[/tex]
So
[tex]y = -2x + b[/tex]
It passes through the point (6,-6).
This means that when [tex]x = 6, y = -6[/tex]. So
[tex]y = -2x + b[/tex]
[tex]-6 = -2(6) + b[/tex]
[tex]b = 6[/tex]
So
[tex]y = -2x + 6[/tex]
Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15
Answer:
b.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
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11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles
Answer: B
Step-by-step explanation:
Which of the following shows a reflection of the triangle over the horizontal axis?
Answer:
Either C or D
Step-by-step explanation:
Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.
Answer:
The fourth option
Step-by-step explanation:
It reflexs accros the x axis which is horizontal
At Manning's favorite ice cream shop, a customer can have a cake or sugar cone, vanilla, chocolate, or strawberry ice cream, and chocolate or rainbow sprinkles. How many different ice cream cones can be ordered if the customer chooses 1 cone, 1 type of ice cream, and 1 type of sprinkles?
Answer:
12
Step-by-step explanation:
2-cones
3-ice cream flavors
2-sprinkles
2 x 3 x 2 = 12
plz mark brainliest :)
Which equation represents the relationship between x and y in the table below?
x 0,2,4,6
y 1, 2, 3, 4
a. y=1/2x+1
b. y=x+1
c. y=x-2
d. y=-1/2x+1
Answer:
a
Step-by-step explanation:
if it’s wrong i’ll change it when i’m done with this quiz
A square gate has a brace 3.5 feet long.
Approximately how wide is the gate?
F. 2.0 feet
3.5 ft
G. 2.5 feet
H. 4.9 feet
J. 6.1 feet
Answer
Answer:
h
Step-by-step explanation:
Please answer correctly i will give brainliest
Answer: It is C
Step-by-step explanation:
Good luck on your test or homework
A square is defined to be a quadrilateral with four congruent sides and four right
angles. Additionally, squares have two pairs of parallel sides,
Choose all of the quadrilaterals that accurately complete the following statement:
A square is a special
Answer:
Step-by-step explanation:
a square is a special rectangle and a parallelogram , and a rhombus
Solve 3[-x + (2 x + 1)] = x - 1.
x = 2
Answer:
x = -2
Step-by-step explanation:
[tex]3[- x + (2x + 1)] = x - 1[/tex]
[tex] = > 3[ - x + 2x + 1 ] = x - 1[/tex]
[tex] = > 3[x + 1] = x - 1[/tex]
[tex] = > 3x + 3 = x - 1[/tex]
[tex] = > 3x - x = - 1 - 3[/tex]
[tex] = > 2x = - 4[/tex]
[tex] = > x = \frac{ - 4}{2} = - 2[/tex]
Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.
Answer: There is a strong association between age and weight.
Step-by-step explanation:
The correlation coefficient (r) is used to describe the relationship between two variables.
[tex]-1\leq r\leq1[/tex]
If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.
Here, Variables: Age and weight.
correlation coefficient = 0.512
That means, there is a strong association between age and weight.
The following dot plot shows the number of
players at each table in Bill's Bingo Hall. Each
dot represents a different table.
.
:
0 1 2 3 4 5 6 7 8
Number of players
What is the highest number of players at a
table?
players
Answer:
0
Step-by-step explanation:
Daniela buy records for 9$ each she buys 8 records how much money does Daniela spend
Answer:
FGCG
Step-by-step explanation:
Answer: 72 dollars
Step-by-step explanation:
each=1
1 record cost 9$
8 record costs (9)(8)$
I did multiplication here
(9)(8)=72 $
Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}
Answer:
Please check the explanation.
Step-by-step explanation:
Given the set B
B={ 0,1,4,9,16,25}Analysis of the elements in the set B
[tex]m = 0 = 0^{2}[/tex][tex]m\:=\:1\:=\:1^2[/tex][tex]m\:=\:4\:=\:2^2[/tex][tex]m\:=\:9\:=\:3^2[/tex][tex]m\:=\:16\:=\:4^2[/tex][tex]m\:=\:25\:=\:5^2[/tex]We can check that each element in set B is a square of a whole number.
Therefore, we conclude that:
B = { square numbers less than 30 }.
or
B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }
Solve for x.
3(3x+3)-5x-4= 25
Answer:
3(3x + 3) - 5x - 4 = 25
9x + 9 - 5x - 4 = 25
9x - 5x - 4 = 16
4x - 4 = 16
4x = 20
x = 5
Anna is selling boxes of cookies and tubs of popcorn for a Student Council fundraiser. On Monday, she made $40 selling 4 boxes of cookies and 2 tubs of popcorn. On Tuesday, she made $35 selling 1 box of cookies and 3 tubs of popcorn.
Write a system of equations to represent the cost of a box of cookies, x, and the cost of a tub of popcorn, y.
Answer:
5 boxes of cookies and 5 tubs of popcorn = $75
Step-by-step explanation:
To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.
The solution is
The cost of box of cookies x = $ 5
The cost of tub of popcorn y = $ 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the cost of cookies be = x
Let the cost of popcorn be = y
And ,
On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn
Substituting the values in the equation , we get
4x + 2y = 40 be equation (1)
And ,
On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn
Substituting the values in the equation , we get
x + 3y = 35 be equation (2)
On simplifying both equations , we get
Multiply equation (2) by 4 , we get
4x + 12y = 140 be equation (3)
Subtracting equation (1) from equation (3) , we get
10y = 140 - 40
10y = 100
Divide by 10 on both sides of the equation , we get
y = $ 10
So , the cost of tub of popcorn is $ 10
Substituting the value of y in equation (2) , we get
x + 3y = 35
x + 30 = 35
Subtracting 30 on both sides of the equation , we get
x = $ 5
So , the cost of box of cookies is $ 5
Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10
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Which of the following is a solution to the system of two equations y = 3x – 7 and 4x – 5y = -20?
Answer:
x = 5, and y = 8
Step-by-step explanation:
You can solve this system by solving either of the equations for either x or y, and substituting that into the other.
Since the first equation is already defined for y, let's substitute that into the second equation:
4x - 5y = -20
4x - 5(3x - 7) = -20
4x - 15x + 35 = -20
4x - 15x = -20 - 35
-11x = -55
x = 5
We can then plug that into either of the original equations to find y:
y = 3x - 7
y = 3 * 5 - 7
y = 15 - 7
y = 8
We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:
4x - 5y = -20
4x - 5 * 8 = -20
4x - 40 = -20
4x = 20
x = 5
So we know the answer is correct. x is equal to five, and y is equal to eight.
A dripping faucet leaks 40 gallons of water per day.
How many gallons does the faucet leak in 2 days.
Answer:
80 gallons and a leaking problem.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
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Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.
Answer:
100(2)^h =6,400
Step-by-step explanation:
For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .
Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.
The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.
A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
15.69 feet
18.01 feet
27.89 feet
36.72 feet
Answer:
hope this helps, brainlist? (OwO)
Step-by-step explanation:
I think the answer is 27.89 feet, C
The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Lenght of the ladder = 32 foot
The angle formed between the ladder and the ground = 29.37°
The ladder, wall of the building, and the ground are making a right-angle triangle.
Let's suppose the base of the ladder is x feet far from the building.
Applying the Cos ratio to find the value of x:
[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]
x = 27.887 feet or (Cos29.37° = 0.871)
x = 27.89 feet
Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.
Know more about trigonometry here:
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Please help! I'll mark brainliest!! :)
Answer:
Area = 201 1/4 yard^2
Or in decimal form: 201.25 yard^2
Step-by-step explanation:
First convert the mixed numbers into improper fractions or even decimal form so it is easier to operate with them:
Base = 11 1/2 yards = 23/2 yards = 11.5 yards
Height = 17 1/2 yards = 35/2 yards = 17.5 yards
Use the formula for the area of a parallelogram:
Area = Base x Height
which in our case give:
Area = 23/2 x 35/2 = 805/4 yard^2 = 201 1/4 yard^2
Or in decimal form: 201.25 yard^2
Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
1.) The graph has a relative minimum
2.)The graph has a relative maximum
3.)The graph has an x-intercept at (5,0)
4.)The graph has an x-intercept at (3,0)
5.)The graph has a y-intercept at (0,-15)
6.) The axis of symmetry is x=-2
Answer:
4 is the correct answer
Step-by-step explanation:
y=(x+5)(x-3)
so x intercept means the value of x when y is zero
0=(x+5)(x-3)
x+5=0 so x=-5
x-3=0 so x=3
What is an angle that is complementary to DGE?
(Please hell I’ll reward)
Answer:
<CGD
Step-by-step explanation:
Since m<CGB = right angle = 90°, therefore:
m<CGE = 90° (linear pair angles)
Complementary angles add up to 90°.
Thus, m<CGD + m<DGE = m<CGE = 90°.
Therefore, the angle that is complementary to <DGE is <CGD
Distance around an unmarked circle can be measured (always, sometimes, never)
Answer:
never
Step-by-step explanation:
:))
Answer:
i think answer is never
Step-by-step explanation:
never