It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone? StartFraction 5 Over 8 EndFraction plus 5 r equals 8. + 5r = 8 5 times StartFraction 5 Over 8 EndFraction equals r. + 5r = 1 5(5 times StartFraction 5 Over 8 EndFraction equals r.) = r StartFraction 5 Over 8 EndFraction equals 5 r. = 5r
Answer:
5/8+ 5r = 1
Step-by-step explanation:
When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool.
Where r = rate in parts per minutes
Hand held hose = 8 minutes
Lawn sprinkler = x
If the hose and sprinkler are used together, it takes 5 minutes to fill the pool.
Hence:
5/8+ 5r = 1
The equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone is given as:
5/8 + 5r = 1
Althea paid $5.00 each for two bracelets and later sold each for $15.00. She paid $8.00 each for three bracelets
and sold each of them for $9.00.
a. Write an expression that represents the profit Althea made.
b. Evaluate the expression. Name the property used in each step.
Answer:
I have the same question
Step-by-step explanation:
message me if anyone helps I need it too
Estimate the value 118 to the nearest integer.
Step-by-step explanation:
118 is already an integer
I really need help with this
Answer:
1/2 or .5
Step-by-step explanation:
you find 2 points that the line goes through, then you find the rise/run. lastly you simplify if you can, then you have the answer
A child's ladder is made of 333 sections. Each section is \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction meters long. How long is the ladder when all 333 sections are extended to make one ladder? meters
Answer:
[tex]Ladder = 2\frac{1}{4}\ m[/tex]
Step-by-step explanation:
Given
[tex]Sections = 3[/tex]
[tex]Length = \frac{3}{4}m[/tex] per section
Required
Determine the length of the ladder
The length of the ladder is calculated by multiplying the number of sections by the length of each section.
So, we have:
[tex]Ladder = 3 * \frac{3}{4}\ m[/tex]
[tex]Ladder = \frac{9}{4}\ m[/tex]
[tex]Ladder = 2\frac{1}{4}\ m[/tex]
Hence, the length of the ladder is: [tex]2\frac{1}{4}\ m[/tex] or 2.25m
In a group of 38 pupils, 14 play the flute only.
8 play the piano only.
11 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
pLZZZZZ need help, will give brainlist if solved
Hey there!
The answer to your question is 5/38
We can find this answer by taking the total group and subtracting all the data to see how many are left who don't play either:
38 - 14 - 8 - 11
5
This means that 5 out of every 38 pupils do not play either instrument, so the probability would be 5/38.
Hope this helps! Have a great day and good luck on your assignment!
(4^3)² × 4^2
Please help
Answer:
65536
Step-by-step explanation:
=(642)(42)
=4096(42)
=(4096)(16)
i hope this helps if u need me to explain more i will be happy too <3
Raphael and his friends made cookies for the bake sale. Raphael made 60 cookies and his friends made 350 cookies. What percent of the total cookies did Raphael make? Round your answer to the nearest whole percent.
Answer: 16%
Step-by-step explanation:
The total amount of cookies is 410.
410 represents 100%
410/100=65/x
X represents the unknown percentage
Cross multiply: 410x=6500
Divide: x=15.85
Round up: 16%
Please answer my question
Answer:
1 is 55
2 is 128
3 is 175
4 is no because the sell price is not 12 dollars, its 12 dollars extra
5 is A
Step-by-step explanation:
Write an ordered pair for 3 glasses
and the amount of juice needed.
( PLEASE HURRYY !!)
The radius of a circle is represented by the expression x+3. Express the circumferend terms of x
Answer:
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Step-by-step explanation:
Given that
Radius = r =x+3
The circumference of a circle is the distance around boundary of the circle.
The circumference of circle is given by the formula.
[tex]C = 2\pi r[/tex]
Putting the value of r, we get
[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]
Hence,
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Subtract 28.9 − 9.25 =_____
Answer:
19.65
Step-by-step explanation:
Answer:
19.65
Step-by-step explanation:
..........
How many solutions does the system have?
x = -6y + 3
5x + 30y = 15
one solution
two solutions
infinitely many solutions
no solution
Answer:
infinitely many solutions
Step-by-step explanation:
we have: x+6y= 3
5x+30y=15
where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)
Thus, the system has infinitely many solutions.
another approach:
convert to slope-intercept form
y= -1/6x + 1/2
y= -1/6x + 1/2
thus, the system has infinitely many solutions.
(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)
Special Right Triangles
Answer:
first option
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 32 ( divide both sides by 2 )
x = 16
----------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 16[tex]\sqrt{3}[/tex]
Find the value of the question mark. *
Answer: -2m - 3n
Step-by-step explanation:
a(m+n)/a(−2n−m) = 1/ax
Rewrite the equation as 1/ax = am+n/a−2n−m.
1/ax = am+n/a−2n−m
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln( 1/ax ) = ln ( am+n/a^{−2n−m})
Expand the left side.
−x ln(a) = ln (am+n/a^{−2n−m})
Expand the right side.
−x ln (a) = (m + n) ln (a) − (−2n − m) ln (a)
Simplify (m + n) ln (a) − (−2n − m) ln (a).
−x ln (a) = 2m ln (a) + 3n ln (a)
Move all the terms containing a logarithm to the left side of the equation.
−x ln (a) −2m ln (a) − 3n ln (a) = 0
Move all terms not containing x to the right side of the equation.
−x ln (a) = 2m ln (a) + 3n ln (a)
Divide each term by −1 ln (a) and simplify.
x = −2m − 3n
pls give brainliest :)
What are the FACTORS of this equation?
x^2 + 11x + 30 = 0
(x + 2)(x + 15)
x = -2, x = -15
x = -5, x = -6
(x + 5),(x + 6)
um i would say 25 all together
How can I calculate the zeros of x^3+3x^2-4?
I know the answers (x1= -2 and x2= 1) but I need to show why these are the zeros.
Answer:
x = 2
x = -1
What is the numeric expression that matches 8 fewer than y?
Answer:
y-8
Step-by-step explanation:
The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years. Group of answer choices
Answer:
[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
Step-by-step explanation:
The above question is in the form of an exponential decay. The equation for an exponential decay is given by:
[tex]y=ab^x[/tex]
where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).
Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:
[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
write the ratio in simplest form 2 feet to 40 inches
Answer:
2+5
Step-by-step explanation:
Ratio of 2feet to 40 inches = 3/5 = 3:5
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given measurements,
2 feet and 40 inches
1 feet = 12 inches
2 feet = 24 inches
Ratio of 2 feet to 40 inches = 24/40
= 3/5
Hence, 3/5 is the ratio of 2 feet to 40 inches.
Learn more about ratio here:
https://brainly.com/question/13419413
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What’s the measure of <7
PLEASE HELPPPP
ITS EASY MY BRAIN JUST HURTS
500minute
Step-by-step explanation:
if anthony rides 32 miles in 160 minute then he will ride 1 mile in 5 minutes
Factor the following polynomial fully.
10x^2 + 16x – 8
A. 2(5x – 4)(x + 1)
B. (2x + 4)(5x – 2)
C.(10x – 8)(x + 1)
D.2(x + 2)(5x – 2)
help me pleaseee pleaseee
Answer:
x=3
PAW = 40
Step-by-step explanation:
-11x+173-x+43=180
-12x+ 216 = 180
12x = 36
Please help!!! thank you so so much!!! will give brainliest!
Answer:
A
HOPE THIS HELPS YOU
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MARK AS BRAINLIEST
Which number sentence is true?
A. 2/3 < 2/8
B. 2/3 <6/8
C.3/3 < 3/8
D.1/8 > 1/3
Answer:
2/3 < 6/8
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
what is 3 1/8 x 2 3/5
Answer:
[tex]8\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{8} \times 2 \frac{3}{5}[/tex]
[tex]=\frac{25}{8} \times \frac{13}{5}[/tex]
[tex]=\frac{25\times13}{8\times5}[/tex]
[tex]=\frac{325}{40}[/tex]
[tex]=\frac{325/5}{40/5}[/tex]
[tex]=\frac{65}{8}[/tex]
[tex]=8\frac{1}{8}[/tex]
Hope this helps :)
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
Answer
6.038 times 100 = 603.8
603.8 / 10 = 60.38
60.38 / 1,000 = 0.06038
0.6038 times 10 = 6.038
Answer:
6.038 times 100 = 603.8
603.8 / 10 = 60.38
60.38 / 1,000 = 0.06038
0.6038 times 10 = 6.038
( Did it on college board)
Step-by-step explanation:
Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling? Explain your answer.
Complete question :
You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23¢ per minute, while calls to France cost 21¢ per minute."Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling?
Answer:
cell phone card won't be enough.
Step-by-step explanation:
Cell phone card value = $75
United kingdom = 23cent per minute
France = 21 cent per minute
United Kingdom minutes = 250
France minutes = 100
Total cost :
23 cent = $0.23
21 cent = $0.21
Total :
United Kingdom = 0.23 * 250 = $57.5
France = 0.21 * 100 = $21
$21 + $57.5 = $78.5
$78.5 > $75
Then, it can be concluded that the cell phone card won't be enough.
which numbers for b would make √b irrational
mark as brilliant!
Answer:
All of the options when substituted for b will make the root of b irrational
Step-by-step explanation:
Mathematically, surds are roots of non-perfect squares and they are tagged as irrational numbers
For b to be irrational, all of the numbers given would fit. This is because all of these numbers are non-perfect squares meaning they do not have square root.
So what this mean is that these numbers when put under the root umbrella are irrational numbers as they are not perfect squares