The number of hours worked by Anthony , Josh and Dominic is 2 hours , 0 hours and 5 hours respectively
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 number of hours worked by Anthony = A
Let the number of hours worked by Josh = J
Let the number of hours worked by Dominic = D
Total number of hours worked by Anthony , Josh and Dominic = 7 hours
So , A + J + D = 7 be equation (1)
Now ,
Dominic worked twice as many hours as Anthony did with an extra hour
So , D = 2A + 1 be equation (2)
And ,
Dominic worked 5 more hours than Josh did
So , D = 5 + J be equation (3)
Simplifying be equation (2) and be equation (3) , we get
2A + 1 = 5 + J
Subtracting 5 on both sides , we get
J = 2A - 4 be equation (4)
Now ,
Substituting the values of equation (2) , equation (3) and equation (4) in equation (1) , we get
A + 2A - 4 + 2A + 1 = 7
5A - 3 = 7
Adding 3 on both sides , we get
5A = 10
Divide by 5 on both sides , we get
A = 2
Therefore , the number of hours Anthony worked is 2 hours
Now , Substituting the value of A in equation (4) , we get
J = 4 - 4
J = 0 hours
Therefore , the number of hours Josh worked is 0 hours
Now , Substituting the value of A in equation (2) , we get
D = 4 + 1
D = 5 hours
Therefore , the number of hours Dominic worked is 5 hours
Hence , The number of hours worked by Anthony , Josh and Dominic is 2 hours , 0 hours and 5 hours respectively
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how do i find the inverse of this?
Answer:
To find the inverse, interchange the variables and solve for y.
f−1(x)=√x+2−8,−√x+2−8
Find and interpret the slope. The number of cubic feet of watery In a reservoir x hours after the water starts flowing into the reservoir Is a linear function. The points (40,2,000) and (60, 3,000) are on the line of the function. The slope ls which means that the amount of water in the reservoir is increasing at a rate of cubic feet each hour.
Answer:
1/50 or 20/1000(same thing but simplified)
Step-by-step explanation:
Evaluate the following question for f(-2):
f(x)=3x+2
Answer:
f(-2)= -4
that should be the answer
Addison works at a pet store. She worked less than 40 hours last week.
Create an inequality that represents the number of hours, n, Addison worked last week.
Answer:
Step-by-step explanation:
Let the number of hours she worked last week be n. If Addison worked less than 40 hours last week, this is expressed as:
n < 40 here < represents the less than sign. This means that Addison cannot work for any hour that is 40 and greater, she can only work for hours less than 40 e.g 39, 38hr etc.
The correct inequality expression is n< 40
If a student uses a ruler like this to measure the length of their foot, which choices would be appropriate measurements?
Answer:
Brannock device or a ruler measuring from your heel to the longest toe
Step-by-step explanation:
Answer:
inches. i think. /: l
Step-by-step explanation:
Please help!!! Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
I
Answer:
22 posts
Step-by-step explanation:
on the side of 20 feet you have 5 fence posts each in including one on each of the corners. On the 35 feet side you would have 8 including the corners, but since the corner posts are done its 6 on each 35 feet side. So you get 5+5+6+6=22
Plzzzzzzz help ppllz
Answer:
x=25
Step-by-step explanation:
Given
Sebastian a store manager earns 125.20 for eight hours of work How much does he earn per hour A $0.07 B $1,001.60 C $14.65 D$15.65
Answer
The correct answer is D. $ 15.65
Step-by-step explanation:
For question A, I figured out one of the expressions is n^2+2, but I need two, and I have no idea what the second one could be.
For B, I figured out it’s a Quadratic function, but I need help explaining why.
For C, I have nothing.
Write the equation of the line with the slope of -6 passing through the point ( − 8 , 0 ).
Answer:
y=-6x+48
Step-by-step explanation:
What is 4.5231 rounded to the nearest thousandth?
y=-3x-1 find slope and y interceapt
Slope = - 3
y-int = - 1
Step-by-step explanation:Understanding slope intercept
y = mx + b
y = Slope(x) + y-intercept
y = -3x - 1
y = (-3)x + (-1)
Slope = - 3
y-int = - 1
Hope this helps,
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :3
I have to do what the image below says but I don't know how to write it:,)
Answer:
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.
What number is equivalent to -(-2)? A. -2 b. 0 c. 2 d. 4
what is the value of y 4y-3=5y+2 solv for y
Answer:
y = -5
Step-by-step explanation:
4y−3=5y+2
add 3 both sides
4y−3+3=5y+2+3
4y=5y+5
subtract 5y both sides
4y−5y=5y−5y+5
-y=5
divide both side by -1
-y/-1=5/-1
Can someone please me how to solve [tex]|a|\ \textgreater \ 2[/tex]
Answer:
[tex]|a| \to \: is \: the \: absolute \: value \: of \: a .[/tex]
Step-by-step explanation:
[tex]|a| \to \: is \: the \: absolute \: value \: of \: a \\ if \: a \: is \: - 5 : then : \\ |a| = | - 5| = 5.\\ if \: a \: is \: 5 : then : \\ |a| = | 5| = 5. \\ \\ but \: \\ when \: its \: - |a| \\ if \: a \: is \: - 5 : then : \\ - |a| = - | - 5| = - 1 \times 5 = \boxed{ - 5}.\\ if \: a \: is \: 5 : then : \\ - |a| = - | 5| = - 1 \times 5 = boxed{ - 5}. [/tex]
♨Rage♨
Step-by-step Answer:
Whenever we have a problem like this, we can have 2 solutions (either one can work) because, in absolute equations, we need to find how far away the number is from 0.
So the answer would simply be that a>2 and a<-2
a can be anything greater than 2 or a can be anything less than 2
The image below might help to better understand
can you help my sister once again theres 12 questions and they are due today and i want her to pass it thanks
Answer:
50,000 in scientific notation is 5 x 10^4
Step-by-step explanation:
10^4 = 10,000 x 5 = 50,000
dai is comparing how many trading cards he has with his friend maura. initially they find that dai has four more cards than twice the number maura has
Answer:
B) [tex]2n+4[/tex]
Step-by-step explanation:
The question states that Dai has 4 more cards than twice the number of cards Maura has.
"more" - add
"twice" - multiply by 2
Let n be equal to the number of cards that Maura has.
Let D be equal to the number of cards that Dai has.
When we translate this into an equation, we would get something that looks like...
[tex]D=2n+4[/tex]
Since Dai has four more cards than twice the number of cards Maura has, 2 times the number of cards Maura has plus four is equal to the number of cards Dai has. Hopefully this is easier to understand written like an equation!
Therefore, the expression would be [tex]2n+4[/tex].
I hope this helps!
Use the graph shown to fill in the blank
When x= 1, then y=
Answer:
y=-2
Step-by-step explanation:
Which equation has infinitely many solutions?
12 + 4x = 6x + 10 – 2x
5x + 14 – 4x = 23 + x – 9
x + 9 – 0.8x = 5.2x + 17 – 8
4x – 2x = 20
Answer:
Bbbbbbbbbbbbbbbbbbbbbb
What causes changes of states in matter?
A. thermal energy/heat
B. molecules
C. air
D. melting
Answer:
A. thermal energy/heat.
The table below shows the relationship between the number of cars sold and the amount of money earned by the car salesperson. Is the amount of money earned, in dollars, proportional to the number of cars sold?
Answer:
No, it is not proportional.
Step-by-step explanation:
This can be determined by looking at the first two items in the chart. I have looked at them all to find a certain pattern, but there wasn't any. The salesman earns $250 for one car sale, and he also earns $600 for two car sales, while this seems like it's just adding a $100 bonus, if you look at the third item on the chart adds a $200 bonus. You could be thinking that this is just adding a $100 bonus for how many cars were sold before, but then you move onto the fourth item on the chart. Which would give you $1,300 if the pattern was continued, yet instead the amount listed is $1,076.
Question 2 What is the slope and y intercept of 4x + 6y = -20?
Answer:
Slope is -2/3. The y - intercept is -10/3.
Step-by-step explanation:
Simplify the equation by using division property of equality.
What goes in the middle box to get 1/5? Help!
Answer:
18/18
Step-by-step explanation:
Glad to help!
Harry is bundling magazines to recycle he notices that 4 magazines weigh 3/8 pound in all and that the magazines all weigh the same amount. What is the unit rate for pounds per magazine?
Answer:
5/32 per Magazine
Step-by-step explanation:
pounds per magazine = pounds/magazines = (5/8)/4 = 5/32 pounds per magazine
Answer: 0.156
Step-by-step explanation:
5/32, but as a decimal its 0.1563, so rounded to 0.156.
f(x)=-9x- 2 find f(7)
Answer:
x= -1/5
Step-by-step explanation:
1
Add 9x9x to both sides.
x+9x=-2x+9x=−2
2
Simplify x+9xx+9x to 10x10x.
10x=-210x=−2
3
Divide both sides by 1010.
x=-\frac{2}{10}x=−102
4
Simplify \frac{2}{10}102 to \frac{1}{5}51.
x=-\frac{1}{5}x=−51
alfred drove 114 miles in 3 hours. if alfred drove at a constant rate, how fast did he drive in miles per hour?
Answer:
38 miles per hour
Step-by-step explanation:
114 miles divided by 3 hours
38 miles per hour
Hope I helped :)
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1/2 (2r + 4) - 1/4 (16 - 8)
Answer:
R
Step-by-step explanation:
1/2(2r+4)-1/4(16-8)
r+2 - 1/4(8)
r+2-2
r
PLS ANSWER FAST PLS Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?
Answer:
384
Step-by-step explanation:
First find 20% of 320
320 x .2 = 64
So this year, there is an increase of 64 students.
Add that to last year's 320
320 + 64 = 384
Write the following equation in standard form.
y=-3/7x-3
[tex]y = - \frac{3}{7}x - 3 \\ [/tex]
Multiply sides by 7
[tex]7y = - 3x - 21[/tex]
Plus sides 3x
[tex]3x + 7y = 3x - 3x - 21[/tex]
[tex]3x + 7y = - 21[/tex]
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And we're done.....♥️♥️♥️♥️♥️
