Answer:
[tex]x =24[/tex]
Step-by-step explanation:
From the question we are told that
Amount of water 1/4x
Gallons added 10
Amount of water after addition 2/3x
Where x is a full container
Generally the parameters above gives the equation
[tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]
Therefore
[tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]
[tex]-\frac{5}{12}x =-10[/tex]
[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]
[tex]x =24[/tex]
Therefore the container can hold 24 gallons of water
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answer:
d is the answer
Step-by-step explanation:
Who earns more per hour, and what is his or her pay rate?
Which type of function is shown in the table below?
Answer:
Linear function
Step-by-step explanation:
None of the X values repeat so its Linear
Someone help me with this ASAP
Answer:
140
Step-by-step explanation:
The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140
x = 140
What is the slope of the line that passes through the points (0,5) and (2,8)
CRÍTICAL THINKING Can you use the Product of Powers Property to
multiply 5^2 x 6^4 ? explain
HELP Please
Answer:
The answer for that equation is 32400
Step-by-step explanation:
Answer:
No because their bases are not the same
Step-by-step explanation:
Write these amounts as ratios in the simplest form
75 cm to 1.5 m (c)
Step-by-step explanation:
75 cm =0.75 m
0.75/1.5=0.5
0.5=5/10=1/2
1:2
Answer:
ratio 1 to 2
Step-by-step explanation:
first convert 75cm to m
which is equal to 0.75m
0.75/1.5 =1 /2
the answer is 1 to 2
If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probability that it will rain on all three days B) work out the probability that it will rain on exactly two consecutive days
Answer:
a) 34.3%
b) 49%
Step-by-step explanation:
In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..
70% / 100 = 0.70
Now we multiply all of them together and multiply the product by 100 to get the percentage.
0.70 * 0.70 * 0.70 = 0.343
0.343 * 100 = 34.3%
34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities
0.70 * 0.70 = 0.49
0.49 * 100 = 49%
An equilateral triangle has a perimeter of 12x + 33. What is the length of each side of the triangle?
Answer:
4x + 11
Step-by-step explanation:
Here all sides of the triangle have the same length. Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is
12x + 33
------------- = 4x + 11
3
Plz help due tomorrow
Answer:
C.
Step-by-step explanation:
p/6+(q+8)
They are just adding not multiplying.
C is the answer they just changed the order of the numbers
like saying 3+4+5=5+4+3
Make x the subject of the formula
X
y = x/a+b
Step-by-step explanation:
[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
Answer:
hi deez
Step-by-step explanation:
f(x) = 4x + 3 for f(-8).
Answer:
-29
Step-by-step explanation:
plz brainliestt
Answer:
-29
Step-by-step explanation:
f(x) = 4x + 3
f(-8) = 4(-8) + 3
f(-8) = -32 + 3
f(-8) = -29
At 3pm the outside Temperature was 4°F . The Temperature then fell steadily by 2°F every hour for the next four hours . What was the temperature at 7 PM
Answer:
Step-by-step explanation:
Temperature at 3pm: 4° F
After the decrease in temperature per hour by 2°F
Temperature at 4pm: 2°F
Temperature at 5pm: 0°F
Temperature at 6pm: -2°F
Temperature at 7pm:-4°F
Hence we can say that the temperature at 7pm is -4°F
please answer this question
Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
HELPPP what is 2x - 5 by the Square root of 9
when a natural number is decreased by 20,the result is 96 times the reciprocal of the number.find the number
Answer:
let natural no be x
(x-20)=96/x
x²-20x-96=0
x²-24x+4x-96=0
x(x-24)+4(x-24)=0
(x-24)(x+4)=0
either
x=24
x=-4
help with #14 plz help
Answer:
H. 2.5
Step-by-step explanation:
we know that ∆ABC similar to ∆ DEF
so , DE= 2.5
:-))
Please help ASAP !!!
Please help me i struggle lots on this topic
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
Shelly kelso's gross pay this month is $6,223. Her earnings to date for this year are $23,631. How much does her employer deduct from her paycheck this month for (a) social security and (b) medicare? 1. A. Find the social security amount
Answer:
Social Security = $385.83
Medicare = $90.23
Step-by-step explanation:
Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:
= 6.2% * 6,223
= $385.83
Medicare has no threshold and the rate in 2021 is 1.45%:
= 1.45% * 6,223
= $90.23
Which equation is a function of x?
O x=5
O x = {²+9
O x2 = 12 +16
jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container
Answer:
3/5 or 0.6
Step-by-step explanation:
i dont really get the question, but 6+4= 10.
What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2
Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.
Answer
Martin has 50 indie CDs and 70 dance CDs
Step-by-step explanation:
5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs
2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?
Answer:
Slope/m=3, y-intercept=5
Step-by-step explination
2y-6x=10
Factor out the common term of two
2y/2-6x/2=10/2 /=dividing
y-3x=5
Add 3x to both sides
y-3x+3x=5+3x
Simplify
y=5+3x
To get the slope-intercept form (y=mx+b)
y=3x+5
A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?
Answer:
Tax amount = $15.00 x 0.06 =0.9
Total amount of the basketball = $15.00 x 1.06 = $15.90
Answer:
Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90
Step-by-step explanation:
8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm
Answer:
Step-by-step explanation:
A = (3.14)(8)2
= 200.96
