10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Let x represent the total amount of paint.
(1/2)x + (4/5)x = 26
1.3x = 26
x = 20
Therefore:
Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons
Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
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Solve for x.
3x - 3
4x - 6
X =
= [?]
Answer:
x=27
Step-by-step explanation:
Same side exterior angles are supplementary when the lines are parallel
3x-3 + 4x-6 = 180
7x -9 =180
Add 9 to each side
7x-9+9 = 180+9
7x = 189
Divide each side by 7
7x/7 = 189/7
x =27
What is the value of b for the following circle in general form? x2 + y2 + ax +by+c=0
Answer:
Step-by-step explanation:
(1). (x - h)² + (y - k)² = r²
where (h, k) are coordinates of a center of the circle with radius r
(2). ( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~~~~~
( 1 , - 2 ) ; r = 3
( x - 1 )² + ( y + 2 )² = 3²
x² - 2x + 1 + y² + 4y + 4 = 9
x² + y² - 2x + 4y - 4 = 0
a = - 2
b = 4
c = - 4
what is the value of 5/6 divded by 1/2 helpi am bad at math
Answer:
5/3 or 1 2/3
Step-by-step explanation:
when you multiply fractions, you must 'multiply by the reciprocal'
you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa
5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6
always reduced to lowest terms when you can . . .
10/6 equals 5/3
Answer:
1.6667 as a decimal
Step-by-step explanation:
Hope this helps! Have a great rest of your day!
Given h(x)=-3x-4h(x)=−3x−4, find h(0)
Answer:
h(0) = -4
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
h(x) = -3x -4
h(0) = -3·0 -4 = 0 -4
h(0) = -4
_____
Additional comment
In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.
triangle abc has an area of 6 and a perimeter of 12. if the triangle is dilated by a scale factor of 3 centered at the origin, what is the area and perimeter of its image, triangle a'b'c'?
Answer:
perimeter: 36 unitsarea: 54 square unitsStep-by-step explanation:
The perimeter is multiplied by the scale factor:
image perimeter = 3 × original perimeter = 3×12 = 36 units
The area is multiplied by the square of the scale factor:
image area = 3² × original area = 9×6 = 54 square units
Can someone pls help me
Answer:
A = Π R^2 = 3.14 * 6^2 m = 113 m^2 area of entire circle
102/360 = a = area of sector
a = 102/360 * 113 m^2 = 32 .0 m^2
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It costs a player £1.40 for a turn.A player can win £6 or £3 as in the diagrams:If 216 people are to play, how much profit can Ayo expect to make?
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The expected value is given by the sum of each outcome multiplied by it's respective probability.
In this problem:
The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is [tex]\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}[/tex].The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is [tex]\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}[/tex]In the other cases, Ayo wins £1.40, with [tex]1 - \frac{18}{72} = \frac{54}{72}[/tex] probability.Hence, his expected profit for a single game is:
[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]
For 216 games, the expected value is:
[tex]E = 216(0.2583) = 55.8[/tex]
Ayo can be expected to make a profit of £55.8.
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A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 feet per second. Use the formula b(t)= -16t^2 + 5t + 15 to find the time it takes for the ball to reach the maximum height of the ball. Round to the nearest tenth
A. 0.2 seconds
B. 0.1 seconds
C. 0.3 seconds
D. 0.9 seconds
Answer:
0.2 seconds
Step-by-step explanation:
The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward. The maximum value of b(t) occurs at the vertex. The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.
Answer:
A) 0.2 seconds
Step-by-step explanation:
[tex]b(t)=-16t^2+5t+15[/tex]
[tex]v(t)=-32t+5[/tex] <-- Take the derivative
[tex]0=-32t+5[/tex] <-- Set equal to 0
[tex]-5=-32t[/tex]
[tex]\frac{5}{32}=t[/tex]
[tex]t=\frac{5}{32}[/tex]
[tex]t\approx0.2[/tex]
Therefore, it will take the ball about 0.2 seconds to reach its maximum height (which happens to be about 15.4 feet BTW).
Alternatively, another non-calculus approach is the fact that the parabola opens downward, and as such, the maximum of [tex]b(t)[/tex] occurs at the vertex where [tex]t=-\frac{b}{2a}[/tex], therefore [tex]t=-\frac{5}{2(-16)}=\frac{-5}{-32}=\frac{5}{32}\approx0.2[/tex]
Look at the question !
9e +4= -5e + 14+ 13e
step by step pls
Answer:
e = 10
Step-by-step explanation:
9e +4= -5e + 14+ 13e
combine like terms on left side of the equation : -5e + 13e = 8e
9e + 4 = 8e + 14
subtract 8e from both sides : 9e - 8e = e and 8e - 8e cancels out
e + 4 = 14
subtract 4 from both sides : 4 - 4 cancels out and 14 - 4 = 10
we're left with e = 10
Could someone please help me
Martin spent six dollars on four avocados how much money does he spend for two avocados
Answer:
$3
Step-by-step explanation:
cut the price in half because the amount of items was reduced by half
Answer:
three dollars
Step-by-step explanation:
$6 for 4
$x for 2
6=4
x=2
cross multiply
2×6=4×x
12=4x
Divide through by 4
x= 3
a school community had planned to reduced the number of grade 9 students per class room by constructing additional class rooms. how ever ,they constructed 4 less rooms than they planned.as the result the number of students per class was 10 more than they planned. if there are 1200 grade 9 students in the school,determine the current number of class rooms and the number of students per class
If y varies inversely with x and y = 5 when x = 4, which equation that relates x and y?
Select one:
A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Monthly cost with 9 slices:
Monthly cost with xx slices:
217.8 as mixed number
Answer:
27 1/8
Step-by-step explanation:
217/8= 27.125 = 27
217 - (8 x 27) = 1
We've now simplified 217/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
27 1/8
Simplifying our fraction
In this case, our fraction (1/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 8 is 1.
1/1 = 1
8/1 = 8
When we put that together, we can see that our complete answer is:
27 1/8
Answer:
217 4/5
Step-by-step explanation:
A baseball team won about 62% of 162 games in a season.
About how many games did they win?
Answer:
the one about 100 games
Step-by-step explanation:
62 percent *162 =
(62:100)*162 =
(62*162):100 =
10044:100 = 100.44
this rounds to 100
Answer:
About 100 games
Step-by-step explanation:
162 * 0.62 = 100.4
100.4 rounded is 100
Is the slope of AC the same as the slope of DF? Explain
Answer:
yes
Step-by-step explanation:
because df is -2/3 and ac is -6/9 which is the same as -2/3
In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 23 hours. How long would it be, to
the nearest tenth of an hour, until there are 10500 bacteria present?
Answer: x = 22.7
Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500
Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300
Reduce the fraction:2 x/23 = 105/53
Convert exponential to logarithm form: x/23 = long^2 105/53
Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23
Rewrite the expression: x = 23 long^2 105/53
Round the number: x = 22.7
Answer: x = 22.7
By which angle measures can the regular pentagon be rotated so it maps onto itself?
Select each correct answer.
72°
90°
135°
144°
216°
300°
Answer:
hi there the answer is 72
Step-by-step explanation:
sorry but my work is on a piece of paper in front of me
To map the regular pentagon onto itself, rotate it at angles of 72, 144, 216, and 288 degrees.
What is a regular polygon?A polygon is a geometric form with a limited number of sides that exists in two dimensions. On the sides or edges of polygons, single-direction segments are joined end to end to form a closed shape. Vertices or corners are the points at which two line segments converge to form an angle.
It is given that:
There are five sides to the pentagon.
We are known that the typical pentagon has five vertices and interior angles of 72 degrees each. Rotational symmetry is also present in a regular pentagon.
Angles are 72°,144°,216°, and 288°
Thus, to map the regular pentagon onto itself, rotate it at angles of 72, 144, 216, and 288 degrees.
Learn more about the regular polygon here:
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© There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is
5/12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answer:
I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5
please help me with this question
at the first blank there are options either (y-intercept, slope, x-intercept)
second blank (positive, negative, 0, a whole number)
Answer:
y-intercept
zero
Step-by-step explanation:
We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.
Help! Help! HELP!!
Find the value for x
Answer:
21
Step-by-step explanation:
5(21)-12=93
3(21)+30=93
what is 5 7/20 written as a decamal
Answer:
5 7/20 as a decimal is 5.35
Hope that helps. x
Answer:
Step-by-step explanation:
If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35
The Appalachian Trail is about 2,175 miles long.
If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?
Answer:
121 days to hike the length of the trail.
Step-by-step explanation:
Divide 2175 miles by 18 miles/day. The unit 'miles' will cancel out, leaving with us the unit 'days.'
2175 miles
------------------- = 121 days
18 mi/day
find the length of the rectangular plot of land whose weight is 10 M and perimeter is 44 m
Step-by-step explanation:
Area of this plot =(84×84) m
2
=7056 m
2
length of rectangular plot =144 m.
We know that the area of the square plot is same as the area of the rectangular plot
Let breadth of rectangular plot be x.
then, 144x=7056 [∵ Area of a rectangle =l×b ]
⟹x=
144
7056
=49 m
∴ The width of rectangular plot is 49 m.
where dp you see yourself in the future?
Answer:
Happy
Step-by-step explanation:
David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted
income, Ai? (show equation).
HELPP PLEASEEE
Answer:
75081
Step-by-step explanation: multiply 80950 by 0.9275
Need help on this one thanks
Answer:
Y = 10/7X + 4
Y intercept = 4
Slope = 10/7
X intercept = -40/7
Step-by-step explanation:
Incase you are asked the equation of the line
The slope intercept equation is as follows -
(1)....Y = mx + b
where m - Slope
b - Y - intercept
the standard formula of slope which is commonly referred to as "the rate of change" is -
(2) .....m= Y2 - Y1 / X2 - X1
in this case you can refer to the final and initial X and Y values directly from the small points on the line.
and so(3)..... - X1 = -6 X2 = 6
- Y2 = 9 Y1 = -1
the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.
thus, X = 0 & Y = 4 ( 0 , 4 )
now lets substitute our values(3) into the slope formula (equation 2)
m = 9 - - 1 / 6 - - 1 = 10/7
now that we found the line's slope, let's simply plug the y intercept
into the slope intercept formula (1)
Y = 10/7X + 4
GUYS PLEASE HELP!!!
Answer:
C (5,4)
Step-by-step explanation:
(x,y)
fist number in the ordered pair is the X value
Second number in the ordered pair is the Y value
A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis
B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis
C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)
After doing all of these we see that C does not end up on the line