Answer:
[tex]Y = 7\frac{1}{2}[/tex]
Step-by-step explanation:
Missing Table:
Yellow Paint ----------- Red Paint
5 ---------------------------------6
Required
Determine the quarts of yellow paints when 9 quarts of red are used
Represent Yellow with Y and Red with R.
When Y = 5 and R = 6, we have the following:
[tex]Y : R = 5 : 6[/tex]
Represent as a fraction
[tex]\frac{Y}{R} = \frac{5}{6}[/tex]
When R = 9 and Y is unknown, we have the following:
and
[tex]Y : R = Y : 9[/tex]
Represent as a fraction
[tex]\frac{Y}{R} = \frac{Y}{9}[/tex]
Since the given parameters re[resent a direct variation between both paints, we can equate both fractions to solve for Y
[tex]\frac{5}{6} = \frac{Y}{9}[/tex]
Multiply through by 9
[tex]9 * \frac{5}{6} = \frac{Y}{9} * 9[/tex]
[tex]9 * \frac{5}{6} = Y[/tex]
[tex]3 * \frac{5}{2} = Y[/tex]
[tex]\frac{15}{2} = Y[/tex]
[tex]7\frac{1}{2} = Y[/tex]
[tex]Y = 7\frac{1}{2}[/tex]
Hence, [tex]7\frac{1}{2}[/tex] quarts of the yellow paints is required
What is the ratio
18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours
What is the relationship between the area of a triangle and the area of a rectangle?
let area of triangle be x
let area of rectangle be y
Then,
2x = y
if 4(x-1)=8(x-2),then x=
4(x-1)=8(x-2)
multiply the first bracket by 4
(4)(x)=4
(4)(-1)=-4
multiply the second bracket by 8
(8)(x)=8x
(8)(-2)=-16
4x-4=8x-16
move 8x to the other side ( in other words combine like terms)
sign changes from +8x to -8x
4x-8x-4=8x-8x-16
-4x-4=-16
move -4 to the other side
-4x-4+4=-16+4
-4x=-12
divide both sides by -4 to get x by itself
-4x/-4=-12/-4
x=3
answer:
x=3
Answer:
x = 3
Step-by-step explanation:
4( x - 1) =8
4x - 4 = 8
+ 4 + 4
4x = 12
x = 3
8 ( x - 2 )
8 ( 3 - 2 )
24 - 16
= 8
Which equations could you solve using the addition property of equality? Check all that apply.
4+ y = 100
y -4 = 100
4y = 100 4 + 100=y
100 = y - 5
Answer:
4 + y = 96 = 100
y = 104 - 4 = 100
4 y = 25 = 100 4 + 100 = y = 104
100 = y = 105 - 5
Step-by-step explanation:
Plz mark me as brainliest have a good day
The equations could you solve using the addition property of equality is
y- 4 = 100.
We have to apply the property of addition equality
Now,
4 + y = 100
y= 96
and, y -4 = 100
y = 104
and, 4 y = 100
y= 25
and, 100 = y - 5
y= 105
Thus, the required equality is y- 4 = 100.
Learn more about Addition Equality here:
https://brainly.com/question/27281756
#SPJ2
[tex]\sqrt{x} 5*\sqrt{x} 8[/tex]
4/ PLEASE HELP ME ON THIS. ASAP
Answer: a,b,d,e are all right beacuse they all relate to the question
Step-by-step explanation:
c how ever is no shown on the graph and is therefor wrong
Eric wishes to triple the recipe how much of each ingredient does
Answer:
wait what? sorry ,,,,,,,
Answer:
multiply
Step-by-step explanation:
it depends on how much eric has currently
Ex: eric has 3 teaspoons of water and 4 cups of flour
3x3=9
so he has 9 teaspoons intead of 3
4x3=12 so he needs 12 cups of flour
The amount of seed needed for a landscaper to cover a lawn is shown in the table. Decide if the relationship between the amount
of seed and the area it covers is proportional.
Answer:
yes it is
Step-by-step explanation:
y + 2 = -3(x - 4). What is the slope?
Answer:
m=-3
Step-by-step explanation:
Find the values of the variables in each right triangle.
Answer:
x = 12
y = 16
Step-by-step explanation:
Use the Pythagoras Theorem on the left triangle.
[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(x)^2=(7.2)^2+(9.6)^2\\x^2=51.84+92.16\\x^2=144\\x=\sqrt{144}\\x=12\\[/tex]
Now use the Pythagoras Theorem on the right triangle.
[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(y)^2=(12.8)^2+(9.6)^2\\y^2=163.84+92.16\\y^2=256\\y=\sqrt{256}\\y=16\\[/tex]
What us the value of 6x - 3y if x = 5 and y = 1
Answer:
27!
Step-by-step explanation:
Heya! Considering that the question has already given you the values of x and y, all you are left to do is plug them back into the equation. The value of 6 multiplied by x- 5- gets you to 30. Since y is equal to 1, 3 multiplied by 1 gets you 3. 30-3 gets you to 27, so that is your answer. I hope this helped! (Please mark as branliest if I did happen to get this right. <3)
Miguel bought a shirt for $13.95, a pair of pants for $16.87, and a hat for $7.79. What was the total amount of money Miguel spent?
Answer:
they did not pay the same rate.
2 pairs for $50
50÷2=25
Miguel spent $25 on each pair of jeans
4 pairs for $90
90÷4=22.5
Han spent $22.50 on each pair of jeans
Therefore these two did not pay the same rate.
Step-by-step explanation:
Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)
Answer:
38.61
Step-by-step explanation:
Each value added to gether to achieve your final value
Find the formula for an exponential function that passes through the two points given. (x, y) = (0, 4) and (x, y) = (3, 32)
Given:
The exponential function passes through two points (0,4) and (3,32).
To find:
The formula for the exponential function.
Solution:
The general form of an exponential function is
[tex]y=ab^x[/tex] ...(i)
where, a is initial value and b is growth factor.
The exponential function passes through two points (0,4) and (3,32). It means the function must be satisfy by these points.
Putting x=0 and y=4 in (i), we get
[tex]4=ab^0[/tex]
[tex]4=a(1)[/tex]
[tex]4=a[/tex]
Putting a=4, x=3 and y=32 in (ii), we get
[tex]32=4b^3[/tex]
Divide both sides by 4.
[tex]8=b^3[/tex]
Taking cube root on both sides.
[tex]2=b[/tex]
Putting a=4 and b=2 in (i), we get
[tex]y=4(2)^x[/tex]
Therefore, the required formula for the exponential function is [tex]y=4(2)^x[/tex].
what is an integer to describe 25 degrees fahrenheit below zero brainly
Answer:
-25
Step-by-step explanation:
25 degrees below zero indicates that we are working with a negative number, so it's -25
~theLocoCoco
Answer:
The answer is -25 for sure
Step-by-step explanation:
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 16 years with a standard deviation of 5 years. If the claim is true, in a sample of 32 wall clocks, what is the probability that the mean clock life would be greater than 15.6 years
Answer:
Step-by-step explanation:
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 16 years with a standard deviation of 5 years. If the claim is true, in a sample of 32 wall clocks, what is the probability that the mean clock life would be greater than 15.6 years
Use the Divergence Theorem to calculate the surface integral
S
F · dS;
that is, calculate the flux of F across S.
F(x, y, z) = x2yi + xy2j + 3xyzk,
S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and
x + 4y + z = 4.
Answer:
[tex]\frac{56}{15}[/tex]
Step-by-step explanation:
Given that [tex]\vec F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k[/tex]
F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k
The flux of \vec F across the surface S is given by
[tex]\int \int _s \vec F \cdot dS[/tex]
Where the survare S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and x + 4y + z = 4.
Now, by using the Gauss Divergence theorem:
[tex]\int \int _s \vec{F} \cdot dS=\int \int \int _v \bigtriangledown \cdot \vec F dV[/tex]...(i)
where V is the volume enclosed by the surface S and [tex]dV=dxdydz[/tex]
\bigtriangledown \cdot \vec F = \hat i \frac {\partial \vec F}{\partial x}+\hat j \frac {\partial \vec F}{\partial y}+\hat k \frac {\partial \vec F}{\partial z}
=2xy+2xy+3xy=7xy
Putting this value in equation (i), we have
\int \int \int _v \bigtriangledown \cdot \vec F dV = \int \int \int _v (7xy)dxdydz
= [tex]7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} \left( \int_{z=0}^{z=4-x-4y}xy\;dz\right)dxdy[/tex]
[tex]=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} xy(4-x-4y-0)dxdy \\\\=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y}(4xy-x^2y-4xy^2)dxdy \\\\=7\int_{y=0}^{y=1} (2x^2y-\frac 1 3 x^3y-2 x^2y^2)|_{x=0}^{x=4-4y}dy \\\\[/tex]
[tex]=7\int_{y=0}^{y=1} (2(4-4y)^2y-\frac 1 3 (4-4y)^3y-2 (4-4y)^2y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} (32(1-y)^2y-\frac {64}{3} (1-y)^3y-32(1-y)^2y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} (32(1-2y+y^2)y-\frac {64}{3} (1-y^3-3y+3y^2)y-32(1-2y+y^2)y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} \{32(y-2y^2+y^3)-\frac {64}{3} (y-y^4-3y^2+3y^3)-32(y^2-2y^3+y^4)\}dy[/tex]
[tex]=7 \{32(\frac 1 2 y^2- \frac 2 3 y^3+\frac 1 4 y^3)-\frac {64}{3} (\frac 1 2 y^2-\frac 1 5 y^5-y^3+\frac 3 4 y^4)-32(\frac 1 3 y^3-\frac 1 2 y^4+\frac 1 5 y^5)\} |_{y=0}^{y=1}[/tex]
[tex]=7 \{32(\frac 1 2 - \frac 2 3 +\frac 1 4 )-\frac {64}{3} (\frac 1 2 -\frac 1 5 -1+\frac 3 4 )-32(\frac 1 3 -\frac 1 2 +\frac 1 5 )\}[/tex]
[tex]=7\times \frac {8}{15} \\\\=\frac{56}{15}[/tex]
Hence, the flux of F across S is [tex]\frac{56}{15}[/tex].
4 tons of cement cost $480.00. What is the price per pound?
Answer:
$120 per pound
Step-by-step explanation:
A survey asked 200 students to name their favorite fruit. The table shows the results of the survey. How many more students chose peaches compared to oranges as their favorite fruit? Explain your thinking.
Answer:
Without seeing the table I can't answer the question
Step-by-step explanation:
But if you take the number of Peaches and subtrqact the number of oranges will have your answer.
Pleaseeeee helppppppp
Answer:
Step-by-step explanation:
since the first equation is already simplifies to y = 2x plug in 2x for the y in the second equation and solve
x = -(2x) + 6
x = -2x + 6
3x = 6
x = 2
plug in our x to the original equation
y = 2(2)
y = 4
so our answer is (2,4)
hope this helps <3
Answer:
x = 2
Step-by-step explanation:
If y is 2x, and x is -y + 6, what's x?
So let's use substitution method. Just replace the -y in x = -y + 6 with 2x:
x = -y + 6
x = -2x + 6
add 2x to both sides
3x = 6
divide by 3
x = 2
An employer's accountant has announced that
the budget for the next year must be cut by 1/3 How much must be cut from the
budget if last year's budget was
$166,245?
A. $11,830
B. $55,415
C. $166,245
D. $498,735
What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of lineAnswer:
Step-by-step explanation:
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of line
A car travels 30 1/5 miles in 2/3 of an hour. What is the average speed of the cat in mph?
Answer:
45.3 miles/h
let 'x' be the speed of the car. Hope this will helps:)
Step-by-step explanation:
If Jack weighs more that Jill, and they run up the same hill, who has done more work?
If Jack and Jill weigh the same, and Jill runs up the hill in half the time as Jack, who had more power??
Answer:
1. Jack, because he weighs more and has to use move power to move.
2. Jill
Step-by-step explanation:
Answer:
omg lol. Okay well for the first one the answer is jack does more work going up the hill.
For the second one Jill has more power.
Which is a factor pair of 72 ?
A. 12, 6
B. 14, 5
C. 23, 4
D. 24, 2
Answer:
A
Step-by-step explanation:
12x6=72
Answer:
a
Step-by-step explanation:
Pedro bought two cars, one for ₱600,000.00 and the other for ₱400,000.00. He sold the former at a gain of 10% and the latter at a loss of 12%. What percentage of the total investment was his gain or loss?
Answer:
Pedro had a gain of 1.2%
Step-by-step explanation:
Percentages
Pedro bought two cars. One for $600,000 and the other for $400,000.
He sold the first car at a 10% profit. Thus the gain was:
$600,000 * 10 / 100 = $60,000
He sold the other car at a 12% loss. Thus the loss was:
$400,000 * 12 / 100 = $48,000
The total gain or loss was $60,000 - $48,000 = $12,000
Since it's positive, the total balance is at gain.
The total investment was $600,000 + $400,000 = $1,000,000
The total gain is a percentage of the total investment of:
$12,000 / $1,000,000 * 100 = 1.2%
Pedro had a gain of 1.2%
HELPPPPP!!! 20 points
Consider the equation 6x+3y=9 Which equation, when graphed with the given equation will form a system with
infinitely many solutions?
y+ 2x-3
y+2x9
Oy=2x+3
Oy=-2x+9
Answer:Oy=2x+3
Step-by-step explanation:
Ramon earns $1,625 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
Ramon spends
% of his earnings on electricity each month.
Answer:
3.1%
Step-by-step explanation:
53.80/1625 x 100 is 3.1
Hope this helps plz hit the crown ;D
So what you can do is divide 53.10 by 1735 to get percentage
0.0306051873 is your decimal, so move it right 2 places to get
3.06% of his money.
You asked for the nearest 10th of a percent, so you round that to
3.1%
Is 12n+60 equivalent to (n + 12) x 5 + 7n
Answer: 12n + 60
Step-by-step explanation:
So first you have to distribute the 5 in the parentheses.
(5)(n + 12) = 5n + 60
5n + 60 + 7n
Then add like terms.
12n + 60
6 people go to restaurant they arrived randomly at different times in how many ways can they arrive
Answer:
6
Step-by-step explanation:
Answer:
yeah 6 times.
Step-by-step explanation:
6 − 3.98 what is the answerrrrr
Answer:
2.02
Step-by-step explanation:
also you can do these on just a calculator :D