Answer:
Step-by-step explanation:
x+ y+z=19 ...(1)
2x+6y+z=12 ...(2)
3x+8y+z=-14 ...(3)
(2)-(1) gives
x+5y =-7 ...(4)
(3)-(1) gives
2x+7y= -33 ...(5)
multiply (4) by 2
2x+10y=-14 ...(6)
(6)-(5) gives
3y=19
y=19/3
x+95/3=-7
x=7+95/3=(21+95)/3=116/3
from (1)
116/3+19/3+z=19
(116+19)/3+z=19
135/3+z=19
45+z=19
z=19-45=-26
What is this the answer?
Answer:
14
It is 14 because the function of g equals 5 and the function of f equals 9
Answer:
c) 14
Step-by-step explanation:
f(x) = x²
f(-3) = (-3)² = -3 * - 3 = 9
g(x) = 2x - 3
g(4) = 2*4 - 3 = 8 - 3 = 5
g(4) + f(-3) = 5 + 9
= 14
Find and enter the correct number of bottles.
1
8
of 48 bottles of water =
the function p(x)=-2(x-9)^2+100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 a piece?
A.)$15
B.)$28
C.)$172
D.)$244
Answer:
C. $172
Step-by-step explanation:
You plug in $15 into the problem and solve from there.
Calculate 5% rebate on a $150 cell phone. How much are you going to save?
Answer:
Save 7.5$ and it will be $142.5
Step-by-step explanation:
There are 100 seniors and 80 juniors in the Homecoming Parade. The students split up into groups of equal size, to fit on the parade floats. They want the most students possible on each float, with just juniors or just seniors on each float. How many students should be on each float?
Answer:
20 students should be on each float
Step-by-step explanation:
Number of seniors = 100
Number of juniors = 80
To find number of students that should be on each float, find highest common factor (H.C.F) of 100 and 80
Write prime factorisation of 100 and 80.
100 = [tex]2^2[/tex] × [tex]5^2[/tex]
80 = [tex]2^4[/tex] × 5
So,
H.C.F(100, 80) = [tex]2^2[/tex] × 5 = 4 × 5 = 20
Therefore,
20 students should be on each float
On Friday, 17.5 total gallons of water were used. On Saturday, 31.5 total gallons were used. On Sunday, 24.75 total gallons were used. What is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water?
Answer:
the answer is B. 0.75 gallon
Step-by-step explanation:
i just worked through this one on edgunity
it took 7 hours to mow 4 lawns; at that rate, how many lawns could be mowed in 21 hours
Answer:
12
Step-by-step explanation:
7x3=21
3x4=12
boOM
Hope This Helps
<3
Answer:
4 lawns were mowed in 7 hours, so if 7 x 3 = 21.
Then you can mow 12 lawns in 21 hours
4 lawns each 7 hours.
Step-by-step explanation:
Solve the equation for the indicated variable
x - 3y for y
Answer:y=x/3
Step-by-step explanation:
x-3y=0
or,x=3y
y=x/3
Solve for y
3x -2y = 8
Answer:
y=3/2x-4
Step-by-step explanation:
3x-2y=8
-2y=-3x+8
y=3/2x-4
y=3/2x-4
3x-2y=8
-2y=3x+8
y=3/2x-4
Slope -4 and y-intercept (0,5)
Answer: y= -4x+5
Step-by-step explanation:
Y=Mx+b
Help!!!!!
Write an equation that is parallel to 3x−2y=14 and passes through the point (-6, -11) in slope-intercept form.
3*-6-2*-11=14
-18+22=14
22=14+18
10
Answer: First, remember that parallel lines have the same slope. So we first need to find the slope of the line we are given, 3x+2y=27. The quickest way to find the slope of this line is to put it into slope-intercept form (y=mx+b)
subract 3x from both sides:
2y=-3x+27
divide each term by 2:
y=-3/2x +27/2
Now we can see that the slope is -3/2.
From here, we use the slope we found and the ordered pair given (7,-4) and find the equation of the new line. We will have to use point-slope form (y-y1)=m(x-X1) to find the new line because the ordered pair given is not the y-intercept.
(y-(-4))=-3/2(x-7)
distribute -3/2:
(y-(-4))= -3/2x + 21/2
simplify double negative on left side of equals sign:
y+4=-3/2x + 21/2
Subtract 4 from both sides:
y= -3/2x + 13/2
This is your answer in slope intercept form. Because the directions specifically ask for standard form, we have one more step. Standard form (ax+by=c) needs the terms with x and y to be on the same side of the equals sign. So, we simply have to move the term with x (-3/2x) to the other side by adding.
Finished product:
3/2x+y= 13/2
Step-by-step explanation:
Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?
A Gravity is a constant force.
B The bowling ball will adapt to the changes in gravity.
C Matter is resistant to acceleration and changes in gravity.
D The amount of matter in the bowling ball remains the same.
Answer:
It’s d
Step-by-step explanation:
i am thinking of an number. then i Times it with 6 and adds 2. the answer is 20. make an Equation and find x.
Plz help me now!
Answer:
The equation:
6x + 2 = 20
The answer:
x = 3
which is greatest -9 or 9
Answer: 9
Step-by-step explanation: on a number line -9 is before 0 9 is after 0 , and any number to the right of a number is greater.
There are 4 squares and 8 triangles. What is the simplest ratio of squares to triangles?
Answer:
1:2
Step-by-step explanation:
the price of an item has been reduced by 85%. the original price was $35 find price of item.
please help also look at my other question i posted i need help on it :(
Answer:
original price = 35
new price = 35 - 85%*35 = 35 - 29.75 = 5.25
Step-by-step explanation:
3 inches to the nearest 1/2 inch
Answer:
6
Step-by-step explanation:
Grade 10 Grade 11 Grade 12 Total
Uses School Buses
34
27
33
94
Does Not Use School Buses
16
23
17
56
Total
50
50
50
150
Choose all of the statements that can be inferred from the data in the table.
A. 37% of all students do not use school buses
B. 66% of students in grade 12 use school buses
C. 11% of students in grade 10 do not use school buses
D. 34% of students who use school buses are in grade 10
E. 15% of all students are in grade 11 and do not use school buses
Answer:
Step-by-step explanation:
B
Answer: B
Step-by-step explanation:
Translate the sentence into an equation.
Twice the difference of a number and 9 is 5.
Use the variable c for the unknown number.
As soon as a new vehicle is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Bree bought a 1994 Moped for $3500. One year later, the value of the moped was $2730. What was the percent of decrease of the value of the moped?
Answer:
7.7% decrease in the value of the moped
Step-by-step explanation:
Bree bought a 1994 moped for $3,500
A year later the value of the moped dropped to $2,730
Therefore the percent of decrease of the value of the moped can be calculated as follows
= 3,500-2,730/100
= 770/100
= 7.7 % decrease
Hence there was a 7.7% decrease in the value of the moped
A rectangular pool has an area of 5x2 + 23x + 12 and the length of one side is 5x + 3. What is the
length of the other side?
Answer:
x + 4
Step-by-step explanation:
Area of rectangle= length × breadth
In this question, one length is 5x + 3 and the area is 5x^2 + 23x + 12
This means that;
5x2 + 23x + 12 = 5x + 3 (b)
Hence, to get the other length (b) = 5x2 + 23x + 12/ 5x + 3
To get the other length, we can factorize the algebraic expression;
5x2 + 23x + 12
Product: 60x^2 (20x × 3x)
Sum: +23x (20x + 3x)
Hence;
= 5x^2 + 20x + 3x + 12
Next, we find factors;
5x (x+4) + 3 (x+4)
Therefore, the factors are (5x + 3) and (x +4)
This means that the other length is (x +4)
To find the surface area of a cube, find the sum of the areas of each face. Since the faces are squares and a cube has 6 faces, multiply the area of one face by 6 to find the total surface area.
Asquare face = 52
SAcube= 652
Find the surface area of the cube above when s=6
please help!!!
Answer:
i tried to find the answer but its not working for me... hold on imma try again
Step-by-step explanation:
the product of one more number and 4 more than the number is 54. Find the numbers
Answer:
25 and29
Step-by-step explanation:
let x be one number
then according to questions another number will be x+4
we can write
x+x+4=54
2x=54_4
2x=50
x=50/2
x=25
one number is 25 and another number is 25+4=29
What’s the slope of the line?
Answer: slope is 0.5.
Step-by-step explanation: Divide vertical movement by horizontal movement
Answer:
2
Step-by-step explanation:
I need some help with this problem
Answer:
-6
Step-by-step explanation:
First you need to substitute -1 in for x in -2x^2
This makes it (-2)(-1)^2
-2x^2 becomes -2 so this means that the equation is now
-2 + (-1) - 3
-2 + (-1) = -3
-3 - 3 = -6
Barbara bought 5 amusement park tickets at a cost of $30. If she bought 7 tickets, how much would it cost?
It would cost $
.
Answer:
$42
Step-by-step explanation:
5 divided by $30 so each ticket would be $6 then just multiply $6 and 7
Answer:
It would cost $42 because 30 divided by 5 equals 6, so that's saying for each 1 ticket it costs $6. So with the new equation, 7 x $6, we get $42. Which will end up being the cost for 7 tickets.
HELP ASAP
Solve: 7a + 10 = 2a
Answer:
a = -2
Step-by-step explanation:
7a + 10 = 2a
subtract 2a from both sides
5a + 10 = 0
subtract 10 from both sides
5a = -10
divide both sides by 5
a = -2
hope this helps
find the product of (2x-3) and (x+3)
Answer:
(2x - 3) * (x + 3)
=> (2x * x) + (-3 * 3)
=> 2x - 9
=> 2x -9
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
If the fraction 374/×-10 is equivalent to -22, find the value of x.
Answer:
uhm -7?
Step-by-step explanation:
374 ÷ (x - 10) = -22
374 = -22(x - 10)
374 = -22x + 220
374 - 220 = -22x
154 = -22x
154 ÷ -22 = x
-7 = x
Need help ASAP! Tysm
Answer:
12n-17
Step-by-step explanation:
add like terms: 9n+3n and -16-1