What is 1/2 multiplied -3/4
Answer:
the answer is -3/8hope this helps
I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult packages. After two weeks I spent 108 to donate six children packages and 4 adult packages. What is the price of each type of package
Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on.
Answer:
number of games played is 5
number of rides road 8
Step-by-step explanation:
8 x 2.25=18
5 x 1.25=6..25
18 + 6.25=24.25
The number of games Sydney played is 5 and the number of rides Sydney went on is 8.
What is linear equation?Linear equation is the type of equation with highest power 1.
Assume the number games Sydney played be x. So, the number of rides she went is x+3.
The cost of 1 game is $1.25. So, the cost of x games will be 1.25x.
The cost of 1 ride is $2.25. So, the cost of x+3 rides will be 2.25(x+3).
The total cost is $24.25. Formulate the linear equation and solve it.
1.25x+2.25(x+3)=24.25
1.25x+2.25x+6.75=24.25
3.5x=17.5
x=5
Substitute x=5 into x+3.
5+3=8
Thus, the number of games Sydney played is 5 and the number of rides Sydney went on is 8.
To learn more about linear equation click:
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How much would you save on a tv that costs $550 with the 30% discount
Answer:
He could save $ 165
Step-by-step explanation:
Discount = 30% of 550
[tex]=\frac{30}{100}*550\\\\=3*55[/tex]
= $ 165
Answer:
the TV after the discount will cost 385.00 dollars and you would have saved 165.00 dollars! hope this helped :D
-4x-y=24
Whats the missing value in the solution to the equation.
(__,8)
Answer: -8
Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.
-4x - 8 = 24
-4x - 8 + 8 = 24 + 8
-4x = 32
-4x/-4 = 32/-4
x = -8
-16 = 5 + 3x what is the constant and coefficient
Answer: help me with my questions
Step-by-step explanation:
Click on my profile answer my question and get branliest
Answer:
The constant is 5 and the coefficient is 3.
Step-by-step explanation:
The constant is something that does not change, which would be 5 because it stays 5 no matter what.
The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.
I hope this helps! :)
Please Help! ASAP! WiLL GIVE BRAINLIEST
Answer:
0.33
Step-by-step explanation:
0.8 of 5 is 0.32768 which rounds to 0.33. Thus, the value of x of 0.33
What is the following simplified product? Assume x greater-than-or-equal-to 0
2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Superscript 4 Baseline EndRoot minus x StartRoot 5 x squared EndRoot)
Answer:
StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline)
A. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot
B. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot + 8 x Superscript 5 Baseline StartRoot 10 EndRoot
C. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot
D. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 x EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 x EndRoot
The simplified product of the expression as given is; Choice A: 24x³√5x - 4x²√10x
First, we must expand the parenthesis as follows;
[tex]2 \sqrt{8 {x}^{3} } (3 \sqrt{10 {x}^{4} } - x \sqrt{5 {x}^{2} } )[/tex]
In essence; we have;
6√80x⁷ - 2x√40x⁵6√80x⁷ - 2x√40x⁵= 24x³√5x - 4x²√10xRead more;
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b) Sanjit reads 3 books in 1 week.
Express as a unit rate and explain
We can write this as:
3 books / 1 week
This tells us that Sanjit reads 3 books per week.
Let's say he read for 3 weeks, we would multiply to find the number of books he read.
3 * 3 = 9 books
So, Sanjit can read 3 books in 1 week.
Best of Luck!
Answer:
3 books/1 week
Step-by-step explanation:
3 books
------------
1 week
A. The amount of water in a tank t minutes after it has started to drain is given by = 100( − 15) 2 . I. At what rate is the water running out at the end of 5 minutes? Ii. What is the average rate at which the water flows out during the first 5 minutes?
Answer:
a)-2000
b)-2500
Step-by-step explanation:
Given:
W(t) = 100(t-15)²
applying derivation on both sides
W'(t) = 200(t-15)
->a) At what rate is the water running out at the end of 5 minutes?
Evaluating at t=5
W'(5)= 100(5-15) =>200(-10)
W'(5)=-2000
->b) What is the average rate at which the water flows out during the first 5 minutes?
[tex]\frac{W(5)-W(0)}{5-0} =\frac{100(5-15)^2*100(0-15)^2}{5} =>\frac{10000-22500}{5}[/tex]
=>-2500
The lines below are parallel. If the green line has a slope of -1, what is the slope of the red line? Enter your answer as an integer or a fraction in lowest terms
Answer:
The red line has a slope of -1
Step-by-step explanation:
This is because parallel lines have the same slope with a different y intercept.
If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.
The volume of a cone is 50 pi cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the nearest tenth.
*The answer is 5*
Answer:
Radius= 5.0ft ( given)
Step-by-step explanation:
Given: Volume of cone= 50π ft^3
Height of cone= 6ft
Required: Radius
Volume of cone= 1/3 * π * r^2 *h
(or)
r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )
= (50 π *3)/(6)π
= 50/2 (because, 3 π /6 π = 1/2)
r^2 = 25
now, r =√25= 5.0 ft
Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)
Answer:
5
Step-by-step explanation:
Solve : x + 1/2 + x + 2/3 − x + 3/4 = 2
Answer:
x= 1 7/12
Step-by-step explanation:
x+1/2+x+2/3-x+3/4=2
1. We know that x+x-x=x
2. 1/2+2/3-3/4=6/12+8/12-9/12=5/12
3. x+5/12=2
4. x=2-5/12
x=1 7/12
Answer:
x = 1/12
Step-by-step explanation:
x+x-x = x
1/2 + 2/3 + 3/4 = 23/12
both of the above are:
23/12 +x = 2
x= 2 - 23/12
x= 1/12
The coordinates of point A on a grid are (−4, 3). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, 3).
Find the perimeter and the area of the polygon with the given vertices.
S (3,0), T (3,9), U (8,9), V (8,0)
Answer: area =45 perimeter=28
Step-by-step explanation: height is 9, length is 5 5x9 =45
9+9+5+5= 28
Can someone tell me the rate of change on this graph?? Please!
Which is the net for this rectangular prism? ASAP
Answer:
The last 4th one is correct
Your friend buys a skateboard that is on sale for one third off the original price. Your friend spent $36 than the original price. What was the original price of the skateboard?
Answer:
original price of skateboard = $54
Step-by-step explanation:
Let the original price of the skateboard be x
selling price = one third off the original price = $36
x - (1/3x) = 36
[tex]\frac{x}{1} - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]
[tex]\frac{2x}{3} = 36\\2x = 108\\x = \frac{108}{2} = 54[/tex]
∴ x = 54
Which is the correct center and radius for a circle given by the equation (x + 2)2 + (y + 3)2 = 4?
a.Center (-2,-3), radius 4
b.Center (2,3), radius 2
c.Center (2,3), radius 4
d.Center (-2,-3), radius 2
Answer:
I think it is b
Step-by-step explanation:
let me know what the outcome is
Please answer me<br />bis two fifths of c.<br />4a = 30<br />Work out the ratio a:b:c<br />Give your answer in its simplest form where a, b and c are integers.
b is two fifths of c, so we make this a ratio with c = 1.
The ratio of b:c is 2/5 : 1
We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,
so we get the ratio of a to c as 3/4 : 1
Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:
3 : 8/5 : 4
Now multiply the 3 numbers by 5 to remove the denominator of 5 in b:
15 : 8 : 20
Now we can check using the equations:
b is 2/5 of c: 20 x 2/5 = 40/5 = 8 This is true.
4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.
The ratios is 15 : 8: 20
what is two-thirds of 3 and3/4
Answer:
2.5
Step-by-step explanation:
2/3 *(3+3/4)=2.5
Answer:
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{2}{3}*3\frac{3}{4}[/tex]
Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.
[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]
Now work it out.
[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]
In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.
5/2=2
4
----
1
the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.
[tex]2\frac{1}{2}[/tex]
Ray PA is tangent to circle O at point A, PA= 12 units, and the measure of AR is 60°. Answer the following and justify your answer using angle, arc, and special segments relationships with circles,
a) Find the length of the radius of circle O.
b) Find the length of line OP
Answer:
a) radius = 6.9288 units
b) OP = 13.857 units
Step-by-step explanation:
a)
As PA is tangent to the circle, the angle OAP is 90°, and if the angle of the arc AR is 60°, the angle AOP is also 60°.
So we can find the angle APO with the sum of internal angles of the triangle AOP:
90 + 60 + APO = 180
APO = 30°
Now, we can find the radius AO using the tangent relation of the angle APO, where the opposite side is the radius AO and the adjacent side is AP:
tangent(30) = AO / AP
0.5774 = AO / 12
AO = 0.5774 * 12 = 6.9288 units
b)
To find the length of OP, we can use the Pythagoras' theorem in the triangle AOP:
OP^2 = AO^2 + AP^2
OP^2 = 6.9288^2 + 12^2 = 192.01
OP = 13.857 units
The function f(x)=(x-4)(x-2 is shown. What is the range lf the function
Answer:
The range is all values greater than or equal to -1
y : y≥-1
Step-by-step explanation:
f(x)=(x-4)(x-2)
This functions is an upwards facing parabola. This means it has a minimum
The minimum is 1/2 way between the zeros
0=(x-4)(x-2)
x-4 =0 x-2 =0
The zeros are at 4 and 2
(4+2)/2 = 6/2 =3
The minimum is at x=3
The minimum value is at
f(3) = (3-4) (3-2) = -1 (1) =-1
The range is all values greater than or equal to -1
y : y≥-1
Answer:
Range: y 》-1
Step-by-step explanation:
f(x) = (x - 2)(x - 4)
f(x) = x² - 2x - 4x + 8
f(x) = x² - 6x + 8
f(x) = x² - 2(x)(3) + 3² - 3² + 8
f(x) = (x - 3)² - 1
Vertex: (3,-1)
Minimum value: -1
Range: y 》-1
The expression (x2 - 5x - 2) - (-6x2 - 7x - 3) is
equivalent to
Answer:
7x² + 2x + 1
Step-by-step explanation:
(x² - 5x - 2) - (-6x² - 7x - 3)
Now, combine your like-terms together...
(x² - (-6x²)) + (- 5x - (-7x)) + (- 2 - (-3))
7x² + 2x + 1
Isabella makes a list of numbers that are all even. Which list could be
Isabella's list?
2,3,4
23,4
3,5,9
3,5,9
2,6,8
2,6,8
3,5,6
3,5,6
Done →
What the answer
Answer:
the list 2,6,8 is the answer
Step-by-step explanation:
PLEASE HELP ME FIND THE SURFACE AREA!!
Answer:
A) 348m^2
Step-by-step explanation:
you just find the area of each individual shape then and all the sides together
Write the equation of a line that is parallel to y=6x and that passes through the point (-7,1)
Answer:
so y=6x+43
Step-by-step explanation:
Slope is 6, so using y=mx+b
1=6(-7)+b, b = 43
so y=6x+43
5x/3y + x
X= 6 and Y= -4
Step-by-step explanation:
Putting values of x and y.
5(6) / 3(-4) + 6
30 / - 12 + 6
10 / - 4 + 6
5 / - 2 + 6
= 3.5
Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), xxx seconds after diving, is modeled by h(x)=-5(x+1)(x-3)h(x)=−5(x+1)(x−3), What is the height of Ana above the water at the time of diving?
Answer:
15m
Step-by-step explanation:
When Ana is diving the time=0 therefore just substitute x=0 into h(x) and it will give you 15m
Help pleaseeeeeee
find the code for section 8
need help now pleaseeeee
Answer:
21/25 = 84% 84% is the largest out of them all in a percentage number.
