Answer:
y = b-rx+sx
Step-by-step explanation:
rx - sx + y = b
Subtract rx from each side
rx-rx - sx + y = b-rx
-sx +y = b-rx
Add sx to each side
sx - sx + y = b-rx+sx
y = b-rx+sx
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6
Answer:
y - 6
Step-by-step explanation:
Given
y² - 10y + 24
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)
The factors are - 4 and - 6, since
- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus
y² - 10y + 24 = (y - 4)(y - 6)
Thus the other factor is (y - 6)
(y - 4) and ( y - 6 ) are the factors of the quadratic equation
What do you mean by quadratic equation?The equation ax2 + bx + c=0 in one variable, with a 0, is known as a quadratic equation. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.The answer could be simple or complicated.
The roots of the quadratic equations are
x = [-b ± √ (b² - 4ac)] / ( 2a ) ( 2a )
Since (b2 - 4ac) is positive, we have two real solutions where (b2 - 4ac) is the discriminant.
When the discriminant is 0, there is just one viable option (both answers are the same)
In the case of a negative discriminant, two complicated solutions are obtained.
Let the quadratic equation be expressed as A given the data.
Right now, A is valued at
y² - 10y + 24 be equation (1)
The quadratic equations' roots are
y = [ -b ± √ ( b^2 - 4ac ) ] / ( 2a )
y = 10 ± √ ( 100 ) - ( 4 ( 24 ) ) / 2
y = ( 10 ± √4 ) / 2
y = ( 10 ± 2 ) / 2
As a result, y has two values of 10 + 2 / 2 and 6
And , y = (10 - 2) / 2 y = 4
In addition, the variables in the equation are
( y - 4 ) ( y - 6 ) = y² - 10y + 24
The quadratic equation is therefore resolved.
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what is the smallest number that rounds to 30,000 why
Answer:
25000
Step-by-step explanation:
Because you round in thousands since the 5 is in the thousandths place.
Six more than the product of three and a number
Answer:
6+3x
Step-by-step explanation:
A number will be given the variable x
So:
6+(3x)Answer:
3x + 6.
Step-by-step explanation:
The number is x.
Billy walks 2.5 miles every day to soccer practice and catches a ride home from his Grandma. Billy had 5 practices last week. How many miles did Billy walk last week to practice? 10 points please help
Answer:12.5 mike he walked to practice last week
Step-by-step explanation:
2.5 miles everyday
5 practices last week
2.5 miles x 5 practices
Irving Manz works for Ben’s Food Mart. He is paid weekly on the basis of a 40-hour week at the rate of $8.95 an hour with time-and-a-half for overtime. During one week he works 49.5 hours. What was Irving’s time-and-a-half pay rate an hour?
Answer:
Irving earned about $363.00 during the week.
Step-by-step explanation:
Irving’s time-and-a-half pay rate an hour =$485.54
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Payment for one hour = $8.95
So, paid for 40 hours
=40*$8.95
= $358.00
Now for -a-half overtime
=$8.95*1.5
= $13.425
Now, for extra 9.5 hours
=$13.425*9.5
=$127.5375
Hence, Irving’s time-and-a-half pay rate an hour
=127.5375+358.00
=$485.54
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The school athletic director had a budget of $500 to purchase 164 items
for the soccer team. She purchased vests for $2.50 each, soccer balls for
$9.25 each, and cones for $0.75 each. She purchased 40 more cones than
balls. How many of each item can purchase?
Answer: She purchased 72 cones, 32 balls, and 60 vests.
Step-by-step explanation:
The total number of items is 164.
The price of the vests is $2.50 each.
The price of the soccer balls is $9.25 each.
The price of the cones is $0.75 each.
The total budget was $500.
If V is the number of vests, B the number of balls, and C the number of cones, we have that:
V + B + C = 164.
V*$2.50 + B*$9.25 + C*$0.75 = $500.
and:
"She purchased 40 more cones than balls."
C = B + 40.
Then we have a system of 3 equations and 3 variables:
V + B + C = 164.
V*$2.50 + B*$9.25 + C*$0.75 = $500.
C = B + 40.
Here the first step is to replace the third equation into the other two, in this way we eliminate one variable and one equation:
V + B + (B + 40) = 164
V*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500.
Now we want to isolate one variable in one of the equations, i will isolate V in the first equation:
V = 164 - 2*B - 40 = 124 - 2*B
Now i can replace this into the other equation:
(124 - 2*B)*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500
Now let's solve this for B.
$310 - $5*B + B*$9.25 + B*$0.75 + $30 = $500
B*( $9.25 - $5 + $0.75) = $500 - $310 - $30
B*$5 = $160
B = 160/5 = 32
Now we know the value of B.
And by the equations above:
V = 124 -2*B = 124 - 2*32 = 60
C = B + 40 = 32 + 40 = 72.
Then:
She purchased 72 cones, 32 balls and 60 vests.
SHOW WORK !! PLS HELP
This is all i have............................
A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AN(BNC) =
(1, 3, 5, 6, 7, 9)
O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
OO
The intersection A n(B n C) is an empty set: {∅}
How to get the intersection between the 3 sets?
For two sets A and B.
A n B is defined as the intersection between A and B, so it is the set of common elements between A and B.
Here we have:
A = {1, 3, 5, 7, 9}B = {2, 4, 6, 8, 10}C = {1, 5, 6, 7, 9}Then:
A n (B n C)
First, we have:
B n C = {6}
6 is the only common element between B and C.
And 6 does not belong to A, then:
A n (B n C) = {∅}
Which is an empty set.
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There are 6 black marbles, 14 blue marbles, 8 white marbles,
and 12 clear marbles in a bag. If Andy chooses a second marble
without replacing the first marble, what is P(black, then clear)?
Answer:
3/65 = 0.046 = 4.6%
Step-by-step explanation:
Notice that the total number of marbles is:
6 + 14 + 8 + 12 = 40
Then , the probability of getting a black marble first is 6/40 = 3/20
Now, since the experiment is without replacing, he is left with a total of 39 marbles in the bag, and the probability of getting a clear one is now 12/39
The total probability is the product of these two:
(3/20) x (12/39) = 3/65 = 0.046 = 4.6%
¿Cuántas libras de café “La Finca” que se vende a $5 la libra debe mezclarse con 80 libras decafé común que se vende a $2 la libra, para hacer una mezcla que se venda a $3 la libra?
Answer:
Necesitamos agregar 40 libras del café La Finca
Step-by-step explanation:
Sea x el número de libras de café de La Finca a mezclar.
Entonces, la cantidad total de libras que obtendremos en la mezcla será (x + 80) libras.
Ahora trabajemos con los precios; Tenemos x libras de La Finca a $ 5 por libra, con 80 libras de café a $ 2 por libra para dar una mezcla de (x + 80) a $ 3 Así, sumaremos el precio de La Finca más la otra variante para llegar al costo de la nueva mezcla.
Matemáticamente;
5 (x) + 2 (80) = 3 (x + 80)
5x + 160 = 3x + 240
5x -3x = 240-160
2x = 80
x = 80/2 x = 40
what is a dependent variable
Answer:
a variable (often denoted by y ) whose value depends on that of another.
Step-by-step explanation:google
Please help!!! I would like an explanation along with your answer. Thanks
Answer:
x = 12/13
BC = 140/13
Step-by-step explanation:
If A is the mipoint of BC, then AB is half of BC.
AB = BC / 2
8x − 2 = (3x + 8) / 2
16x − 4 = 3x + 8
13x = 12
x = 12/13
BC = 3x + 8
BC = 3 (12/13) + 8
BC = 36/13 + 104/13
BC = 140/13
52 cars were built at the plant last month.
If that was 80% of the cars on order, how
many total cars were ordered?
Answer:
65
Step-by-step explanation:
Total cars =
[tex] \frac{52}{80} \times 100 = 65[/tex]
What’s the answer confused with this ??
Answer:
x = - 1
option I
Step-by-step explanation:
Equation is: 5x + 6 = 1
Subtract 6 from both sides
5x + 6 - 6 = 1 -6
5x = -5
Divide both sides by 5
5x / 5 = -5/5
x = -1
All lines parallel to y = 5x - 7 have a slope of
Answer:
5
Step-by-step explanation:
[tex]y = 5x - 5 \\ equating \: it \: with \\ y = mx + b \\ slope \: (m) = 5[/tex]
Parallel lines have same slope.
So, slope of required line = 5
Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Expain.
Answer:
No.
Step-by-step explanation:
The friend is not correct because in this case one five is 100 times greater than the other, not 10.
4.25 + (-3/8) + 2 1/4 To being 2 wholes
Answer:
6.125
Step-by-step explanation:
4.25 + (-3/8) + 2 1/4 = 6.125
After a 90% reduction, you purchase a new soft drink machine on sale for $64. What was the original price of the soft drink machine?
Answer:
$640
Step-by-step explanation:
Let [tex]x[/tex] equal the original price of the machine.
We know that $64 is 10% of [tex]x[/tex] because $64 is left of [tex]x[/tex] after the 90% reduction.
Set up an equation:
[tex].10x=64[/tex]
Divide by the coefficient of [tex]x[/tex], which in this case is [tex].10[/tex]
[tex]x=640[/tex]
I need help please
Answer:
Equal 15
Step-by-step explanation:
2+588(357)
4-136
x decreased by 7 is 38
Answer:
45
Step-by-step explanation:
x - 7 = 38
add 7 to both sides to get the variable by itself
x = 45
To calculate 4 % tax on $63.78, multiply 4.2 times 63.78.
T
F
It’s true
Answer
False
Step-by-step explanation:
Cause i got it right on edge :)
Answer:
False
Step-by-step explanation:
you multiply .042 to 63.79 because 4.2 is the percentage.
My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumulates every hour average mass of snowflake is 1.70mg
Answer:
46.818 kg
Step-by-step explanation:
First, find the surface area of your yard. This is found by multiplying the length and width.
The equation for this is (l*w)=sa
So,
l=20ft
w=17ft
(20*17)= 340 square feet.
So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.
So,
(340*1350)= 459000 flakes for the entire yard in one minute.
Since there is 60 minutes in an hour, multiply 459,000 by 60.
459,000*60= 27,540,000 new flakes in the yard per hour.
Now, to find the weight in milligrams:
27,540,000*1.7= 46,818,000 mgs
Finally, because a kilogram is equal to one million milligrams (mg),
46,818,000/1,000,000= 46.818 kg
Write each product as a power 6x6x6x6 if u help me youll get a cookie ^
Answer:
6⁴
Step-by-step explanation:
We see that we are multiply 4 6's together. That means we can simply just raise 6 to the 4th power as we are multiplying 6 x 6 x 6 x 6.
Hey there!
ANSWER: [tex]6^4[/tex]EXPLANATION:[tex]6*6*6*6 \text { as a power}[/tex]
If you want to find this number to be written as a power, you will need to see how many times the number is being multiplied by 6.
[tex]6(1)*6(2)*6(3)*6(4)\\\text {It was multiplied 4 times}[/tex]
Since it was multiplied by 4 times, you will write it as:
[tex]6^4(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
-.75X-2 = .25x
What is x
Answer:
x = -2
Step-by-step explanation:
Add 0.75x to both sides of the equation.
-0.75x -2 = 0.25x . . . . . given
-0.75x +0.75x -2 = 0.25x +0.75x
-2 = 1.00x . . . . simplify
x = -2
27. Give the perimeter of the rectangle below in
simplest form.
Answer:
The permeter will be 26 units
Step-by-step explanation:
First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2
1. add seven to both sides leaving 3x = x + 9
2. Then subtract the 1x from both sides leaving 2x = 9
3. Then divide 9 by 2 which will be 4.5, x = 4.5
Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7
1. 4.5 + 2 = 6.5
2. 3(4.5) - 7 13.5 - 7 = 6.5
The perimeter of the rectangle below in simplest form will be 4(x - 3).
Length of the rectangle = 3x - 7
Width of the rectangle = x+2
The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:
= 2(length + width)
= 2(3x - 7) + 2(x + 2)
= 6x - 14 + 2x + 4
= 4x - 12 = 4(x - 3)
Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).
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Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error.
12 cartons(÷22.20)
$22.22(÷22.20)
Unit price = $0.54
$0.54(7) = $3.78
Answer ; Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Answer: you would divide the total price of $22.20 by the amount of cartons, which is 12, giving you the unit rate of $1.85 per carton. the unit rate, $1.85 multiplied by 7 is $12.95, so it would cost $12.95 for 7 cartons of eggs
Step-by-step explanation:
Answer:
Step-by-step explanation:
the person up is right
what is the solution to -2(8x-4) 2x+5?
Answer:
that would be -2200 sorry if im wrong
Step-by-step explanation:
What is 503.782 to the nearest then tenth
Answer: 503.8
Step-by-step explanation: 503.782 is the original fraction. To round up the number has to be 5, 6, 7, 8, or 9. The number in the hundredths place is 8. so that means the number in the tenths place can be moved up to 8 since 7+1=8.
Using the origin as a starting point, explain how you would plot the point (-5, 3).
Define alternate interior angles