Answer:
wait.. almost done...
Step-by-step explanation:
Answers:
Larger bottle = 44 gallons
Smaller bottle = 33 gallons
=====================================================
Explanation:
L = capacity of larger bottle
S = capacity of smaller bottle
Capacities are in gallons
We're told the ratio of these capacities is 4 to 3, meaning L/S = 4/3. Note how L goes first on top since 4 is the first number and it's larger than 3.
Cross multiply to get 3L = 4S. We can solve for S to get S = 3L/4.
----------------------------
We're also told that the larger bottle has 11 more gallons than the smaller one, so,
Larger = Smaller + 11
L = S+11
L = (3L/4) + 11 .... plug in S = 3L/4
4L = 4*(3L/4) + 4*11 ... multiply every term by 4
4L = 3L + 44 .... the fraction goes away afterward
4L-3L = 44 .... subtract 3L from both sides
L = 44
The larger bottle can hold 44 gallons
S = 3L/4
S = 3*44/4
S = 3*11
S = 33
The smaller bottle can hold 33 gallons
Note that L-S = 44-33 = 11 to show there's an 11 gallon difference between the larger and smaller bottles. We can also see that L/S = 4/3 is also true because 44/33 = 4/3. This confirms our answers.
9) Manny is 7 years older than David. Jeremy is 2 years younger than Manny. Their combined
ages equals 102. How old are Manny, Jeremy and David?
Step-by-step explanation:
answer is done over here step by step
Answer:
Manny: 37 years old
Jeremey: 35 years old
David: 30 years old
Step-by-step explanation:
First, we must divide 102 by 3, since there are 3 people in this scenario.
102 ÷ 3 = 34
We know that 34 is an estimate of each person's age, but there's still more work to do.
Manny is seven years older than David:
30 + 7 = 37
Jeremey is 2 years younger than Manny:
37 - 2 = 35
37 + 35 + 30 = 102
Hope this helps! :)
Write a ratio that is proportional to the ratio 9/75
Answer:
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
Step-by-step explanation:
Answer:
I did the equation and I gotten 3/25
Step-by-step explanation:
Hope you like :)
The tape diagram represents the ratio of the numbers of planets in two different solar systems. There are 8 planets in Solar System B. How many planets are in Solar System A?
The correct answer is 6 planets
Explanation:
The image presented shows the ratio of planets in solar system A vs those in solar system B. In this way, the general ratio is 3 : 4 or 3 to 4; this means for each 4 four planets in solar system B there are 3 planets in solar system A and vice versa. Now, to find the total of planets in system A if there are 8 planets in system B, follow this process:
8 planets / 4 = 2 planets - This means each of the sections in the diagram represents 2 planets
2 section x 3 = 6 planets as in the solar system A there are 3 sections and each of this represents 2 planets, the total of planets in this system are 6
This result can also be found by converting the ratio to a fraction and multiplying this by the 8 planets
8 planets x [tex]\frac{3}{4} = \frac{24}{4} = 6[/tex]
The coefficients corresponding to k=0,1,2, ...,6 in the expansion of (x + y)^6 are ___.
A. 0, 1, 6, 15, 15, 6, 1, 0
B. 1, 6, 15, 20, 15, 6, 1
C. 0, 6, 15, 20, 15, 6, 0
D. 1, 6, 15, 15, 6, 1
Answer:b
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function h(t)=-5t^2+14t+3 When will the ball hit the ground
Answer:
The time the ball will hit the ground is 1.4s
Step-by-step explanation:
Given;
function of the ball's motion; h(t)= -5t²+ 14t + 3h
The final velocity of the ball, v , is given as;
v = dh/dt
v = -10t + 14
When the ball hits the ground, the final velocity, v = 0
v = -10t + 14
0 = -10t + 14
10t = 14
t = 14 / 10
t = 1.4s
Therefore, the time the ball will hit the ground is 1.4s
is this right?
what is the correct answer if I am wrong.
Answer:
i think so
Step-by-step explanation:
everyting looks good to me cuz that would be what my answer was?
(Brainliest at Random!!!!!!!!!!!!!!!)
Answer:
the last one.
(x^3)^3--3^2
x^6-3^2
x^6-9
(x^3)^3--3^2
Step-by-step explanation:
Blair's garden is four feet shorter than double its width. The perimeter of the garden is 64 feet.
The width of the garden is ___ feet.
The length of the garden is ____ feet.
Answer:
The width of the garden is 12 feet.
The length of the garden is 20 feet.
Step-by-step explanation:
Let l be the length and w be the width
Then according to given statements
[tex]l = 2w-4\ \ \ Eqn\ 1[/tex]
Second equation is:
[tex]2l+2w = 64\ \ \ \ Eqn\ 2[/tex]
Putting l = 2w -4 in equation 2
[tex]2(2w-4)+2w = 64\\4w-8+2w = 64\\6w -8 = 64\\6w = 64+8\\6w = 72\\\frac{6w}{6} = \frac{72}{6}\\w = 12[/tex]
Putting w = 12 in equation 1
[tex]l = 2(12)-4 = 24-4 = 20[/tex]
Hence,
The width of the garden is 12 feet.
The length of the garden is 20 feet.
what is 7x-21=x+3
need step by step
Answer:
[tex]\boxed {x = 4}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]7x - 21 = x + 3[/tex]
-Take [tex]x[/tex] and subtract it from [tex]7x[/tex]:
[tex]7x - 21 - x = x - x + 3[/tex]
[tex]6x - 21 = 3[/tex]
-Add both sides [tex]21[/tex]:
[tex]6x - 21 + 21 = 3 + 21[/tex]
[tex]6x = 24[/tex]
-Divide both sides by [tex]6[/tex]:
[tex]\frac{6x}{6} = \frac{24}{6}[/tex]
[tex]\boxed {x = 4}[/tex]
Thus, the value of [tex]x[/tex] is [tex]4[/tex].
What is the slope of the line?
Answer:
y=1x+1
Slope is 1
Step-by-step explanation:
Slope = rise/run.
We go up 1 and run 1. The slope is 1.
Let me double check.
The line passes through the points (-1,0) and (0,1).
m = delta y ÷ delta x
m = (0 - 1)/(-1 - 0)
m = -1/-1
m = 1
Yep. The slope is 1.
find the value of x
A ladder is placed against a wall such that the top is 8 feet above the ground. If the ladder is 10 feet long, how far away from the wall is the base of the ladder
Answer:
6 feet
Step-by-step explanation:
Consider the right triangle formed by the wall, ladder and ground.
Let the distance the ladder is from the wall be d , then
Using Pythagoras' identity in the right triangle
The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then
d² + 8² = 10²
d² + 64 = 100 ( subtract 64 from both sides )
d² = 36 ( take the square root of both sides )
d = [tex]\sqrt{36}[/tex] = 6
That is the ladder is 6 feet away from the wall
Amir has a bag of dimes and quarters. He has a total of 31 coins worth $5 20. Let x represent the number of dimes and y represent the number of quarters. Which system of equations would be used to find out how many dimes and quarters Amir has?
Answer:
This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?
x = dimes x = 0.10 or 0.1
y = quarters y = 0.25
31 coins
worth $5.20 = 5.2
x + y = 31
0.1x + 0.25y = 5.2
Step-by-step explanation:
Give a number between -5 and 5 that can be use in the blank to make the equation false? (whole numbers only please)
3x + 2 = 3x + ___
Draw the graphs of the equations x + y = 5, y = - 2 and x = 1 on the same Cartesian
plane. Shade the region bounded by these graphs, name the figure obtained and find its area.
HELP ME FASTTT
The graph is attached in the figure where the area between the curves has been shaded. As can be seen, the triangle formed is a right triangle whose lengths of its legs is 7. Therefore, its area will be:
[tex]A =\dfrac{7\cdot 7}{2} = \dfrac{49}{2} = 24.5\;u^2[/tex]
Ken wants to run 5 kilometers. He ran 230 meters. Then he ran 2 more kilometers. How many more kilometers does Ken need to run?
A. 0.77 km
B. 2.23 km
C. 2.77 km
D. 3.00 km 2
Answer:
The answer is C - 2.77 km
Answer: C=2.77
Step-by-step explanation: because it is lol
Select each pair of equivalent number
A. 40/1000 and 40%
B. 6/5 and 120%
C. 50/33 and 117%
D. 1/8 and 12.5%
E. 1/3 and 30%
Answer:
B and D
Step-by-step explanation:
what is the system of inequalities for the graph below?
Answer:
hi do You have Instagram?
9514 1404 393
Answer:
y ≥ -2x +1y ≤ 2x +4Step-by-step explanation:
The downward-sloping line has a y-intercept of 1 and a slope of -2, so its equation is ...
y = -2x +1
The graph is shaded on and above that line, so the inequality it represents is ...
y ≥ -2x +1
__
The upward-sloping line has a y-intercept of +4 and a slope of +2, so its equation is ...
y = 2x +4
The graph is shaded on and below that line, so the inequality it represents is ...
y ≤ 2x +4
Then the system of inequalities is ...
y ≥ -2x +1
y ≤ 2x +4
can you all help me with this im stuck and imma need some help.
Answer:
Its the second one
Step-by-step explanation:
Answer:
the 2nd one
Step-by-step explanation:
pleaseee help....leave an explanation if you can
Answer:
A and B
Step-by-step explanation:
Looking at A it is 2/8. If you divide both numbers by the top, which is two, it would become 1/4.
For B, if you divide both numbers by 4 it will also become 1/4.
Janet can make 4/5 of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?'
Answer:
4
Step-by-step explanation:
4/5 x 5
Mr. Myers wants to join a music club. The 1st choice music club charges a $5 sign-up fee and $1 each song. The Superstar music club charges no sign-up fee and charges $3.50 each song. After how many songs will the cost of the music clubs be equal? 1st choice Music Equation: ______ Superstar Music Club Equation: ______ Solution: _____ This was due yesterday and I'm having trouble with this stuff, I'm in advanced math but my teacher moves way too quickly, I would appreciate it if you could help me out.
Answer:
1st choice Music Equation: [tex]\$(x+5)[/tex]
Superstar Music Club Equation: [tex]\$3.50x[/tex]
Solution: 2
Step-by-step explanation:
Given that:
1st choice music club:
Charges for one song = $1
Charges for sign - up = $5
Let the number of songs = [tex]x[/tex]
Total cost = [tex]\$5+\$1\times x = \$(x+5)[/tex]
Superstar music club:
No sign up fee and
Charges for one song = $3.50
Total cost = [tex]\$3.50x[/tex]
Given that, cost of each music club becomes equal:
Putting them same:
[tex]x+5=3.5x\\\Rightarrow 2.5x = 5\\\Rightarrow \bold{x =2}[/tex]
After 2 songs, the cost of both the clubs will become equal.
Which set of lengths are not the side lengths of a right triangle
1. 24,33,42
2. 20,99,101
3. 36,77,85
4. 27,120,123
Answer:
3
Step-by-step explanation:
How many solutions does the following equation have?
6(2x – 6) = -7(-2x + 4)
Answer:
6(2x-6)=-7(-2x+4)
6×2x-6×6=-7×(-2x)-7×4
12x-36= 14x -28
12x-14x= -36+28
-2x= -8
x= -8/-2
x= 4
Step-by-step explanation:
4
Ahmed recorded the temperature outside his window one morning. On the second day, the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees. On the fourth day, the temperature went down 6 degrees, and it was 1°F.What was the temperature on the first day?
Answer:
[tex]-2^{\circ}\text{F}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the temperature on the first day
Second day temperature
[tex]x+7[/tex]
Third day temperature
[tex]x+7-10[/tex]
Fourth day temperature was [tex]1^{\circ}\text{F}[/tex]
[tex]x+7-10+6=1\\\Rightarrow x+3=1\\\Rightarrow x=1-3\\\Rightarrow x=-2^{\circ}\text{F}[/tex]
On the first day the temperature was [tex]-2^{\circ}\text{F}[/tex]
The total weight w, in pounds, of a ferry capable of carrying 64 cars depends on the number of cars c
on the trailer. This situation is represented by the function rule w = 25,000 + 3500c. Graph this
function below and determine if it is continuous or discrete.
Answer:
Step-by-step explanation:
What's the answer?
Answer:
Step-by-step explanation:
Tgjh +=%##
how do u get point???
i really would love more point!!
Answer:
Step-by-step explanation:
Hi. You need to answer the questions that people have. Just like I'm answering yours, I get some points. This way you get help on your homework and you can help others.
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?
6 pink flowering plants
7 pink flowering plants
8 pink flowering plants
9 pink flowering plants
Answer:
7 pink flowering plantsStep-by-step explanation:
Total number of plants = 15Total cost = $96Cost of pink flowering plant = $8Cost of purple flowering plant = $5Let x and y be the number of plants bought. Then we have equations:
8x + 5y = 96x + y = 15 ⇒ y = 15 - xSubstituting y in the first equation:
8x + 5y = 968x + 5(15 - x) = 968x + 75 - 5x = 963x = 96 - 753x = 21x = 7Correct option is the second one
(-4, 18) is a solution to:
y = 5x – 2
Payton spent half of her weekly allowance on clothes. To earn more money, her parents let her clean the oven for $8. What is Payton weekly allowance if she ended with $15
Answer:
Payton's weekly allowance is $14.
Step-by-step explanation:
If she ended up with $15 after earning $8, then we to subtract 15 by 8.
15 - 8 = 7
If Payton spent half of her allowance before earning more money from her chore, then her allowance must be 7 times 2.
7 x 2 = 14.
Therefore, Payton's weekly allowance is $14.
Hope this helps! :)