Answer:
25 minutes
150 gallons
Step-by-step explanation:
Definition of variables
Let t = time in minutes
Let V = volume in gallons
Create two equations with the given information:
Pool A
Starting volume = 330 gallonsLeak rate = 6 gallons/min⇒ V = 300 - 6t
Pool B
Starting volume = 400 gallonsLeak rate = 10 gallons/min⇒ V = 400 - 10t
To find after how many minutes the two pools will have the same amount of water, substitute the equation for pool A into the equation for pool B and solve for t:
⇒ 300 - 6t = 400 - 10t
⇒ 300 - 6t + 10t = 400 - 10t + 10t
⇒ 300 + 4t = 400
⇒ 300 + 4t - 300 = 400 - 300
⇒ 4t = 100
⇒ 4t ÷ 4 = 100 ÷ 4
⇒ t = 25
Therefore, the two pools will have the same amount of water after 25 minutes.
To find how much water will be in the pools at that time, substitute the found value of t into one of the equations and solve for V:
⇒ V = 400 - 10t
⇒ V = 400 - 10(25)
⇒ V = 400 - 250
⇒ V = 150
Therefore, the amount of water in the pools at the time when they have the same amount of water is 150 gallons.
If time be x and volume be y
The equations are
y=300-6ty=400-10tEquate and solve
300-6t=400-10t4t=100t=25minNow
y=400-10(25)y=400-250y=150gallons
Who is credited with creating an alphabet for several Slavic languages?
Answer:
the credit goes to create slavic language isSt. Cyril (or Constantine) and St. Methodius.
St. Cyril ( or Constantine) and St. Methodius are credited with creating an alphabet for several Slavic languages.
Here,
We have to find, Who is credited with creating an alphabet for several Slavic languages.
Who was Slavs?
Slavs are Indo-European people who speak the various Slavic languages of the larger Balto-Slavic linguistic group.
Now,
St. Cyril ( or Constantine) and St. Methodius are credited for creating an alphabet for several Slavic languages.
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Pls answer fast
(√3 + √11)² + (√3 - √11)²
(√3 + √11)² + (√3 - √11)²
(a+b)² = a² + b² + 2ab ( a - b )² = a² + b² - 2abNow ,
(√3 + √11)² + (√3 - √11)²
(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)
14 + 2√33+ 14 - 2√33
14 + 14 = 28
Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .
Answer:
28
Step-by-step explanation:
(a + b)² + (a - b)² = 2a² + 2b²
(√3 + √11)² + (√3 - √11)²
= 2√3² + 2√11²
= 28
Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
O B. Yes; there are no y-values that have more than one x-value.
• C. No; there are y-values that have more than one x-value.
O D. Yes; the graph passes the vertical line test.
Answer:
letter c
Step-by-step explanation:
YOUR LUCKY THAT THIS QUESTION IS IN MY LEARNING & PLEASE NEXT TIME PUT THE GRAPH THAT YOU ARE TALKING ABOUTKEEP ON LEARNINGany
ete the equivalent ratio table.
D
B
(Equivalent Ratio
21
35
20 50
27
70
12:13
17:5
23
S
9
11
2
18
22
Answer:
????????????????????????????????????????/
Step-by-step explanation:
If a gas filled balloons rises 40 feet in the 1 minutes, 60 feet in the 2 minute, and 80 feet in the 3 minute, how many feet will the balloon rise during the 15 minute
Answer:
600
Step-by-step explanation:
15*40=600
Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.
The radius of the circle is
units.
The center of the circle is at
Answer:
centre (5,0)
radius:9
I hope it will be helpfulness
Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cups Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the highest ratio of blue paint to white paint? mixture A mixture B mixture C mixture D
The correct answer is option B which is mixture B will have the highest ratio of blue paint.
What is a ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
The given ratios are:-
Mixture A = [tex]\dfrac{5}{12} = 0.41[/tex]
Mixture B = [tex]\dfrac{6}{6}= 1[/tex]
Mixture C = [tex]\dfrac{4}{12}= 0.33[/tex]
Mixture B = [tex]\dfrac{5}{6}=0.83[/tex]
Here the ratio of mixture B is the highest among all the options available.
Therefore the correct answer is option B which is mixture B will have the highest ratio of blue paint.
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In a basket, there are 52 apples or pears. The number of apples is 8 more than the number of
pears. How many numbers of apples and pears in the box?
Answer:
44 pears and 52 apples
Step-by-step explanation:
pears are 8 more than apple so 52-8 = 44
Number of apples and pears in a box is equals to [tex]30[/tex] and [tex]22[/tex] respectively.
What is number?" Number is defined as the count of any given quantity as per given condition."
According to the question,
Given,
Total number of apples [tex]= 52[/tex]
[tex]'x'[/tex] represents the number of pears
[tex]'x+ 8'[/tex] represents the number of apples
As per the given condition required equation we get,
[tex]x + x + 8 = 52\\\\\implies 2x = 52-8\\\\\implies x = \frac{44}{2} \\\\\implies x = 22[/tex]
number of pears [tex]= 22[/tex]
number of apples [tex]= 22+8[/tex]
[tex]=30[/tex]
Hence, number of apples and pears in a box is equals to [tex]30[/tex] and [tex]22[/tex] respectively.
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Solve: −0.06+7.6p<−127.74
A. p<−42.6
B. p<−34.57
C. p>−16.8
D. p<−16.8
Answer:
D
Step-by-step explanation:
- 0.06 + 7.6p < - 127.74 ( add 0.06 to both sides )
7.6p < - 127.68 ( divide both sides by 7.6 )
p < - 16.8
Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants his fruit salad to contain five different fruits. How many ways can he make the fruit salad if it must contain watermelon?
The number of ways that he can make the fruit salad if it must contain watermelon is 35.
What is Permutation and combination?Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.
The salad contains water melon, now we have to select 4 more fruits out of 7.
Using combination
[tex]^{n{C}_r[/tex] = n! / r! (n-r)!
[tex]^{7}C_4[/tex] = 7!/ 4! (7-4)!
= 7*6*5*4! / 4! * 3*2
= 35
Hence, number of ways that he can make the fruit salad if it must contain watermelon is 35.
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Answer: 35 on edge got it right
Step-by-step explanation:
100 PTS!! PLEASE HELP! OVER DUE
Answer:
[tex]-\frac{1}{2} \vec {c}[/tex]
Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because [tex]\frac{4}{4}=1=\frac{-2}{-2}[/tex]
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that [tex]k \vec{c} = \vec {d}[/tex], or equivalently, [tex]kc_x=d_x[/tex] and [tex]kc_y=d_y[/tex].
If [tex]kc_x=d_x[/tex] and [tex]kc_y=d_y[/tex], we just need to substitute known values and solve for k:
[tex]kc_x=d_x\\k(4)=(-2)\\k=\dfrac{-2}{4}\\k=-\frac{1}{2}[/tex]
Double checking that k works for the y-coordinates as well:
[tex]kc_y=d_y[/tex]
[tex](-\frac{1}{2}) (4)[/tex] ? [tex](-2)[/tex]
[tex]-2=-2 \text{ } \checkmark[/tex]
So, [tex]-\frac{1}{2} \vec {c} = \vec {d}[/tex]
Answer:
Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that , or equivalently, and .
If and , we just need to substitute known values and solve for k:
Double checking that k works for the y-coordinates as well:
?
So,
solve X-2=7 answer the question pls pls
Answer:
x = 9
Step-by-step explanation:
x-2 = 7
you solve by adding 2 to both sides to maintain equality. and you add by 2 to cancel out the -2 to isolate the x.
x = 9
Determine the equation of a cubic polynomial function with roots at (3,0), (2,0) and (-4,0) that also passes through the point (1,30).
Step-by-step explanation:
Step 1: Setting Up the Factors
Our roots are 3, 2, and -4 so
our factors are
[tex](x - 3)(x - 2)(x + 4)[/tex]
Step 2: Initial Test to see if the result equal 30
Let a be a constant, such we have
[tex]a(x - 3)(x - 2)(x + 4) = 30[/tex]
Plug in. 1 for x.
[tex]a(1 - 3)(1 - 2)(1 + 4) = 30[/tex]
[tex]a( - 2)( - 1)(5) = 30[/tex]
[tex]a(10) = 30[/tex]
[tex]a = 3[/tex]
So our equation is
[tex]3(x - 3)(x - 2)(x + 4)[/tex]
Or if you want it simplifed
[tex]3( {x}^{2} - 5x + 6)(x + 4) = 3( {x}^{3} + - {x}^{2} - 14x + 24) = 3 {x}^{3} - 3 {x}^{2} - 42x + 72[/tex]
Answer:
[tex]f(x)=3(x-3)(x-2)(x+4)[/tex]
Step-by-step explanation:
General form of a cubic polynomial function with 3 roots:
[tex]f(x)=a(x-b)(x-c)(x-d)[/tex]
where:
a is some constant to be foundb, c and d are the roots of the functionGiven roots:
(3, 0)(2, 0)(-4, 0)Substitute the given roots into the general form of the function:
[tex]\implies f(x)=a(x-3)(x-2)(x-(-4))[/tex]
[tex]\implies f(x)=a(x-3)(x-2)(x+4)[/tex]
To find the value of a, substitute the given point (1, 30) into the equation:
[tex]\begin{aligned} f(1) & = 30\\\implies a(1-3)(1-2)(1+4) & =30\\a(-2)(-1)(5) & = 30 \\10a & = 30\\\implies a & = 3 \end{aligned}[/tex]
Therefore, the equation of the cubic polynomial function is:
[tex]f(x)=3(x-3)(x-2)(x+4)[/tex]
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Tom sees an enormous thundercloud approaching
from the west. He sees a lightning flash at the top
of the cloud and hears thunder 15 seconds later. His
angle of sight to the top of the cloud is 65°. How
high is the top of the thundercloud off the ground?
Sound takes 5 seconds to travel 1 mile.
Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The angle is of 65º.The vertical distance is the height h.The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.Hence:
tan(65º) = h/3.
h = 3 x tan(65º)
h = 6.43 miles.
The thundercloud is 6.43 miles above the ground.
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Estimate the sum of the decimals below by rounding to the nearest whole number. Enter your answer in the space provided
Answer:
18
Step-by-step explanation:
closest whole numberd are 5, 8 and 5. 5 + 5 = 10 + 8
= 18.
Find the inequality represented by the graph
The mass of a box of bolts is 3/4 kg and the mass of a box of screws is 3/5 kg.
a Which box has the greater mass?
b Calculate the difference in mass between the 2 boxes.
Answer:
a) The mass of a box of bolts is greater.
b) 3/20 kg
Step-by-step explanation:
a) Firstly, you have to make the denominators of the two fractions the same (by finding the LCM of the denominators).
The LCM of 4 and 5 is 20.
Converting 3/4 into denominator 20:
[tex]\frac{3 * 5}{4 * 5}[/tex]
= 15/20
Converting 3/5 into denominator 20:
[tex]\frac{3 * 4}{5 * 4}[/tex]
= 12/20
Now comparing the numerators:
15 > 12
Hence,
3/4 > 3/5
b) Difference of the boxes can be done by subtracting the numbers with the same denominator:
15/20 - 12/20
= 3/20 kg
Hope this helps and feel free to give me brainliest! :)
True or false: The factor by which a row operation changed the determinant is equal to the determinant of the elementary matrix corresponding to that row operation.
The given statement is false.
What is the effect of a row operation on a determinant?
The factor by which a row operation intends to change the determinant is not equal to the determinant of the elementary matrix corresponding to that row operation. Rather, when a row is scaled up by a factor in a matrix, the determinant of that matrix also scales up by that factor.
Similarly, the factor by which a row operation changes the determinant is equal to the factor times the determinant of the elementary matrix corresponding to that row operation.
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NEED HELP ASAP!!!!!
Triangle ABC and DEF are similar. Answer the following questions:
a. What relationship can you write for the angles of these two triangles?
b. What is the length of the missing side?
Answer:
a)<BAC = EDC,<DEC =ABC,ACB=DFE
b)7
Step-by-step explanation:
According to the definition, two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional. Hence, we can find the dimensions of one triangle with the help of another triangle. If ABC and DEF are two similar triangles, then by the help of below-given formulas, we can find the relevant angles and side lengths.
∠A = ∠D, ∠B = ∠E and ∠C = ∠F
AB/DE = BC/EF= AC/DF
Is this correct?? If not then whats the answer.
(image below)
Brainly for the first person to answer
this question
Answer:
fair share
Step-by-step explanation:
all are equal.
are any of these answers correct?
Of all video game players, 1/8 are men over age 50 and 2/5 are women. what fraction represents men younger than 50 years old?
13/40 are men under 50
21/40 are men under 50
17/40 are men under 50
23/40 are men under 50
please helm me out!
Answer:
19/40
Step-by-step explanation:
⅛ over 50
⅖ women
5 x 8 = 40
8 x 2 = 16
1 x 5 = 5
16 + 5 = 21
40 - 21 = 19
19/40
Answer:
19/40 are men under 50
Step-by-step explanation:
Given:
2/5 of all video game players are women1/8 of all video game players are men[tex]\begin{aligned}\textsf{Men under 50 yrs old} & = \textsf{total proportion of men} - \textsf{proportion of men over 50}\\\\& = \left(1-\dfrac{2}{5}\right)-\dfrac{1}{8}\\\\& = \dfrac{3}{5}-\dfrac{1}{8}\\\\& = \dfrac{3 \cdot 8}{5 \cdot 8}-\dfrac{1 \cdot 5}{8 \cdot 5}\\\\& = \dfrac{24}{40}-\dfrac{5}{40}\\\\& = \dfrac{19}{40}\end{aligned}[/tex]
To check this, let's assign a number to the total number of players and use this to help us calculate the proportion of players who are men under 50 years old.
Let the total number of video game players be 400.
If 2/5 of all video game players are women, then the proportion of all video game players that are men is: 1 - 2/5 = 3/5
⇒ total number of men = 3/5 of 400 = 3/5 × 400 = 240
If 1/8 of all video game players are men over 50 years old then:
⇒ number of men over 50 yrs old = 1/8 × 400 = 50
Therefore:
⇒ number of men under 50 yrs old = 240 - 50 = 190
Finally, the fraction of men under 50 years old from all video game players is the number of men under 50 divided by the total number of men.
⇒ men under 50 years old = 190/400 = 19/40
Select the correct answer. If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g? A. -7 and 3 B. -7 and -3 C. -3 and 7 D. 3 and 7
Answer:
C
Step-by-step explanation:
given the factors are (x - 7) and (x + 3)
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 3 = 0 ⇒ x = - 3
PLEASE I NEED HELP!!!!!
How does a person answer pythogoras rule with out a calculator.
Answer:
well by using the formulae a²+b²=c² with "a" being the opposite "b" being the adjacent and "c" being hypotenuse
Answer:
BY LEARNING Pythagorean Theorem Formula Proof using Similar Triangles
Step-by-step explanation:
In a right-angled triangle, the Pythagoras Theorem Formula is expressed as:
c2 = a2 + b2
Where,
'c' = hypotenuse of the right triangle
'a' and 'b' are the other two legs.
what is 52 + 6 × (5 − 3) − 10⁄2 =
Answer: 59
Step-by-step explanation:
Order of operations.
52+6x(2)-5
52+12-5
64-5
59
Step-by-step explanation:
52+6×2-10/2
52+6×2-10÷2
52+6×2-5
52+12-5
64-5 =59
my answer is 59.
When water flow in two Hoses. The first is four times the second's speed, what is the ratio of the radius of the first to the second?
Answer:
4:1
Step-by-step explanation
this should be the answer from how u gave the question, also can i get brainliest ;)
If a(x) = 3x 1 and b (x) = startroot x minus 4 endroot, what is the domain of (b circle a) (x)?
The composite function (boa)(x) is equivalent to √3x-3
Composite functionGiven the following functions
a(x) = 3x +1
b(x) = √x - 4
To determine the composite function (boa)(x)
b(a(x) = b(3x +1)
Substitute 3x + 1 into b(x) to have:
(boa)(x)= √(3x + 1) - 4
(boa)(x) = √3x-3
Hence the composite function (boa)(x) is equivalent to √3x-3
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It takes 6 hours for 2 people to build a swing set. Can you use the proportion 2 - 6 = 5 - h to determine the number of hours h it will take 5 people to build the swing set? Explain.
The number of hours, h it will take 5 people to build the swing set is; 2.4 hours
What is the number of hours it will take 5 people to build the swing set?From the task content, it follows that it took 6 hours for 2 people to build the swing set, hence, it follows that it'd take 12 hours for 1 person to build the swing.
However, when the work is divided between 5 People, the time taken is therefore; 12/5 = 2.4hours.
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Using the following image, solve for JI.
J
2x + 28
x + 22
5
H
In the given image, the length of JI is 6
Solving linear equationsFrom the question, we are to solve for JI
From the given image, we can write that
JI + IH = JH
Then,
2x + 28 + 5 = x + 22
Solving for x
2x + 28 + 5 = x + 22
First, collect like terms
2x - x = 22 - 28 - 5
Simplifying
x = -11
But,
JI = 2x + 28
∴ JI = 2(-11) + 28
JI = -22 + 28
JI = 6
Hence, the length of JI is 6
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what is the area of stuvwx in the parallelogram below?
Answer:
fuz what hhde you ha thewebsite and it
Eugenia rolls a six-sided number cube. What is the probability that she gets a number greater than 4? A. 1/6 B. 1/3 C. 2/3 D. 5/6
The probability that she gets a number greater than 4 is 1/3
How to determine the probability?A six-sided number cube has the following properties:
Faces = 6
Numbers greater than 4 = 2
The probability that she gets a number greater than 4 is calculated as:
P = 2/6
Simplify
P =1/3
Hence, the probability that she gets a number greater than 4 is 1/3
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