The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.
Answer:
Y=7.5x
Step-by-step explanation:
8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour
Jake has $100 dollars in his wallet. He spends $15 at Tastee Sub and $10 at Wawa. As he is walking home, Jake finds a $20 bill on the ground. Then Brandon comes along and borrows $40 from jake. That night jake decided to do some chores at home and earns $35. How much does jake end up with at the end of the day
Answer: $75
Step-by-step explanation:
Question
Help me -.8+ 2X = .3 - x
Step-by-step explanation:
2x+x=.3+.8
3x= 1.1/:3
x=0.366
Answer:
x = -2.566667
Step-by-step explanation:
simplify both sides
8 + 2x = 0.3 - x
8 + 2x = 0.3 + - x
2x + 8 = - x + 0.3
add x to both sides
2x + 8 + x = - x + 0.3 + x
3x + 8 = 0.3
subtract 8 from both sides
3x + 8 - 8 = 0.3 - 8
3x = -7.7
divie both sides by 3
3x/3 = -7.7/3
x = -2.566667
due 7:59 am est. Faith is saving up to buy a new bicycle. She already has $40 and can save an additional $6 per week using money from her after school job. How much total money would Faith have after 8 weeks of saving? Also, write an expression that represents the amount of money Faith would have saved in w weeks.
Answer:
After 8 weeks, Faith would have $88. money saved = 40+6w
Answer:
$88 saved in 8 weeks
Step-by-step explanation:
Part 1:
You would first set up the equation 40 + (6 x 8) = t. T would be the total money saved. You would then do 6 times 8 first, as they're in parenthesis. You would get 48. You now have 40 + 48 = t. You would now add like terms, and you would get 88 = t. You would save $88 in 8 weeks.
Part 2:
40 + 6w = t
w would represent the number of weeks, t would represent the total number of money saved.
Dr. Ochoa's team attached a beam to the International Space Station creating a right angle. If the height of the International Space Station is 110 kilometers and the length of the attached beam is 75 kilometers, how far is the end of the beam from top of the International Space Station? Round your answer to nearest tenth of a kilometer.
133.1 kilometers
Step-by-step explanation:
Allison has a $35 budget for the county fair. She spends $15 at a craft booth and she wants to buy some kettle corn for her friends that cost $4 for each bag.
Let x = number of friend's
Answer: she can buy it for 5 friends
Step-by-step explanation:
$35(budget)- $15(craft booth) =$25
then $25 divided by $4 equals 5
So 5 people she can but for.
is y=x/4 a proportional relationship
Answer:
yes
Step-by-step explanation:
The function f(x) = x/4 represents a proportional relationship.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. A straight line represents a proportional relationship. Mathematically -
y = mx + b
(y - b)/x = m [m is constant]
or
y = mx
m = y/x [m is constant]
Given is the following function -
y = x/4
We have -
f(x) = x/4
Now, we know a straight line represents a proportional relationship. The general form of equation representing the proportional relationship is -
y = mx
where - [m] is constant
y = x/4
y = (1/4)x
On comparing, we get -
m = 1/4
Hence, the function f(x) = x/4 represents a proportional relationship.
Therefore, the function f(x) = x/4 represents a proportional relationship.
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what is the input value other than -7 for which h(x)=3
Answer:jrntker,fgv;rmjhnopgykjpftg.l/;[]ref
Step-by-step explanation:
wem,yk6iotfkmmkgjjjkdlmeruijtnmgjhudjmv n
8. If b(x) = -2(x-50), what is the value of
b(20)? Request
PLS HELP!!!!!!!!!!!!!
A recent survey by the alumni of a major university indicated that the average salary of 10,000 of its 300,000 graduates was $125,000. What is the Population?
Answer:
The population is the total number of the universities graduates i.e [tex]N = 300,000[/tex]
Step-by-step explanation:
From the question we are told that
The number of students that are consider is n = 10,000
The total number of graduates is [tex]N = 300,000[/tex]
The mean is [tex]\= x = \$125 , 000[/tex]
Here the population is The total number of graduates with value [tex]N = 300,000[/tex], this is because a population is the pool from with a sample is drawn and in this case the pool is [tex]N = 300,000[/tex] while the sample with is drawn is n = 10,000
5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.
x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
What is Equation?Two or more expressions with an Equal sign is called as Equation.
-2(x-4)=4
-2(2-4)=4
4=4
Hence, x=2 is the solution
26/x=13
Now x=2
26/2=13
13=13
Hence, x=2 is the solution
-3.8x=-7.4
Now x=2
-3.8×2=-7.4
-7.6=-7.4
x=2 is not a solution of -3.8×2=-7.4
4(x - 1) – 3(x - 2) = -8
4(2-1)-3(2-2)=-8
4=-8
x=2 is not a solution of -3.8×2=-7.4
Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
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If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?
Answer:192
Step-by-step explanation:
Calculate the area l*w or s*s
Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here
4*8=32/1=32*6=192
Witch fraction is not in simplest form 5/15 or 5/12
Name a ray with an endpoint of A.
There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).
Answer:
The maximum area is therefore is 93750 ft²
Step-by-step explanation:
The given parameter are;
The a]length of fencing available = 1500 ft.
The perimeter of the figure = 9·x + 4·y
Therefore, 9·x + 4·y = 1500 ft.
The area of the figure = 6 × (x × y) = 3·x × 2·y
From the equation for the perimeter, we have;
9·x + 4·y = 1500
y = 1500/4 - 9/4·x = 375 - 9/4·x
y = 375 - 9/4·x
Substituting the value of y in the equation for the area gives;
Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²
Area = 2250·x - 27/2·x²
The maximum area is found by taking the derivative and equating to zero as follows;
d(2250·x - 27/2·x²)/dx = 0
2250 - 27·x = 0
x = 2250/27 = 250/3
x = 250/3
y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5
The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²
The maximum area is therefore = 93750 ft.²
could someone help me with this ? i need to find m
the three angles of a triangle always add up to 180 degrees.
So, add the three angles together!
2x - 12 + 2x + 17 + 9x - 7 = 180
Group the similar numbers together.
13x -2 = 180
13x = 182
x = 14
Plug x in to 2x + 17
14*2 + 17 = 45
mX = 45 degrees
Answer:
m∠X = 45°
Step-by-step explanation:
All angles in a triangle add up to 180°
2x - 12 + 2x + 17 + 9x - 7 = 180
13x = 180 - 17 + 12 + 7
13x = 182
x = 14°
m∠X = 2x + 17
sub x = 14° into m∠X
2(14) + 17
m∠X = 45°
HELP NOW 15 Points!!!!!!!
Which expression is not equivalent to the other three?
2x + 2+ 2x + 3x – 8
4 + 7x – 2
–2 + 5x + 2x – 4
8x – x – 6
Answer:
4+7x-2
Step-by-step explanation:
i dont know how nit is the anwser put i got it right
whats equivelent to 9a + 12
Answer:
Multiply both terms of the numbers
hense you would do: 2(9a + 12) = 18a + 24
It doesn't have to be 2 however. If can be any number you want it to be
Step-by-step explanation:
Answer:
12+9a is equivelent to 9a+12 :-)
Step-by-step explanation:
algebraic expression for 15 8/9 less than the product of 5 and a number b
Answer:
[tex]15\frac{8}{9}[/tex] < 5b
Step-by-step explanation:
15 8/9 less than the product of 5 and a number b
Product of 5 and a number b;
5 x b = 5b
Now,
[tex]15\frac{8}{9}[/tex] less than
[tex]15\frac{8}{9}[/tex] < 5b
The algebraic expression is [tex]15\frac{8}{9}[/tex] < 5b
When a number is less than another, the other number is greater.
(Find common denominator first.)
3/2 + b=7/4
Answer:
b = 1/4
Step-by-step explanation:
Take the given fractions : 3/2 and 7/4 and find a common denominator.We will use 4 as a common denominator.
In order for the denominator of 3/2 to get to 4, you need to multiply by 2.3 × 2 = 6 2 × 2 = 4
New fraction: 6/4Now we have the equation 6/4 + b = 7/4
7/4 - 6/4 = 1/4
2(x2 + 6) – 3 vy when x = 3 and y = 64.
Answer:
73
Step-by-step explanation:
you would do distributive property we know x= 3 so on the inside would be 32 now since we are doing distributive property you multiply 32x2 and 6x2
then you add them together and after you subtract 3 from 76 which = 73
if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
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Do imaginary numbers follow the rules of algebra?
Answer:
no
Step-by-step explanation:
Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4
Answer:
Domain: (-∞,∞)
Range:(-∞,∞)
Step-by-step explanation:
The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A function that fluctuates linearly with respect to the changing variable is referred to as being linear.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the function,
ƒ(x) = -5x + 4
Range of the function ;
Since the value of the function is defined for all real x and the value will be unique so
Range = (-∞,∞ ).
The domain of the function ;
Since it is defined for all real x so,
Domain = (-∞,∞ )
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HELP ASAP!!! I WILL GIVE BRAINLIEST
Answer:
ok what's the question
Answer:
C
Step-by-step explanation:
hope this helps
WILL GIVE BRAINLIEST NEED DONE ASAP
Write an equation in standard form of the line that passes through the given point
and has the given slope.
1. (2,-4), m= 2/3
2. (5, -3); m = 2
3. (6,0); m = 3/4
4. (-1, 2); m = 7
5. (-3,-5)m= 1/3
6. (4,0); m = -5
Answer:
y=2/3x-16/3
Step-by-step explanation:
ok ill show you how to do one question since the rest will take too long so what you do is
equation is y=mx+b right
so you have slope and these points (2,-4) and m=2/3
y=2/3x +b right
now all you do is sub in x and y which are ur given points
-4=2/3 (2) +b
now you solve for b
-4 = 4/3 + b
-4-4/3 = b
-12/3 - 4/3 = b
-16/3=b so therefore
y=2/3x-16/3
write down the factors of 18
Answer:
Factors of 18 are 1, 2, 3, 6, 9, 18
a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.
In a parking lot with 600 Japanese, European and American cars, 50% are American. There are 30 fewer Japanese cars than American cars . How many more Japanese cars are there than European cars?