Answer:
takes 3 minutes, at 17 gallons per minute, for the tap to fill the tub, so 51 gallons of water flow into the tub.
The capacity of the tub is 46.5 gallons; so in 3 minutes 51-46.5 = 4.5 gallons have leaked. That's a rate of 4.5/3 = 1.5 gallons per minute.
The amount of time it will take the tub to drain at that rate is 46.5/1.5 = 31 minutes.
Answer:
46.5/1.5 = 31
Step-by-step explanation:
In year 3, it is expected that the total value of clothing sales will reach $32 million. If the total value of azco sales remain the same as year 2, what percentage of sales would clothing account for in year 3
Answer:
32 million / x million year 3 * 100%
Step-by-step explanation:
Since they mention that the total value of azco sales remain the same as year 2, therefore the earnings for year 2 and 3 are the same.
Which means that the percentage of sales profits would be 32 million dollars divided by the profits of year 3, which we do not know because the statement does not tell them but they tell us that they do not change with respect to year 2.
Therefore the percentage would be:
32 million / x million year 3 * 100%
When constructing perpendicular lines with a compass and straightedge, how should you start the construction? a. Open the compass and mark two points of intersection between arcs from the given line. b. Use a straightedge to find the length of the given line and then make an arc above it. c. Open the compass to the width of the original line to measure it. d. use a straightedge to create two arcs above and below the original line
Answer:
firsty,open the compass to the width of the original line to measure it. then use the straightedgeto find the length of the given line and then mark an arc above .in 3rd step use a straightedge to create two arcs above and below the original line lastly open the compass andmark two points of intersections between the arcs of given lines.
i think its all..
Answer:
Create a line that intersects the given line with your straightedge.
Step-by-step explanation:
A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space into four congruent rectangular patches, each of which measures
Answer:
4m X 6m
Step-by-step explanation:
This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.
He divides his usable space into four congruent rectangular patches.
If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
Learn more about congruent triangles here:
https://brainly.com/question/16921692
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How does the value of b affect the graph of y=m+b?
Answer:
b is the intercept of the graph. When x is 0, b is the y-value.
b affects the y-values, rather than the x-values. That means that it translates the graph up or down the y-axis by b units.
Hope this helps!
I need help please!!! Only answer if you know it or else you will get reported
Explanation:
The distance around a full circle is equal to 2*pi*r = 2*pi*1.3 = 2.6pi
Cut this in half because we're dealing with a semicircle. So we go from 2.6pi to 1.3pi
This is exactly equal to pi times the radius.
PLEASE HELP ASAP THANKSSSS
Answer:
The correct answer is C
Step-by-step explanation:
As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.
make x the subject of y=3x-2
Answer:
x = y+2/3
Step-by-step explanation:
y = 3x-2
+2
2+y = 3x
Divide by 3
2+y / 3 = x
How many solutions does the system have? Y=-2x-4 y=3x+3
Answer:
1
Step-by-step explanation:
Since they are not parallel nor the same line, they have 1 intersecting point, which is the solution.
If they were parallel, they would have no solution.
If they were the same line, they would have infinite solutions.
Delilah and a group of friends had excellent service at a restaurant. They would like to give the server a 25 percent gratuity on their $140 bill. Use the diagram to identify the amount of the tip.
Answer:
$35
Step-by-step explanation:
There is no attached diagram, but despite this, the tip amount can be calculated, since we know the total value of the expense in the restaurant and the percentage of tips they want to give, therefore it would be the multiplication of the total by the percentage like this:
140 * 0.25 = 35
$ 35 would be the value of the tip
Answer:
35
Step-by-step explanation:
i took the test and got it right
find the sum of the series 81-27+9......-1/27.
Answer:
[tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]
Step-by-step explanation:
The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...
[tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]
This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...
[tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]
Find the value of x.
Answer:
x=6.09cm
Step-by-step explanation:
Working out AB:
7.5²+4.9²
= √80.26
AB= 8.96cm
To work out x:
AB is the opposite, where BC is the adjacent. This means that we have to use TOA.
x=8.96/Tan(55.8)
x= 6.09cm
Answer:
6.1 cm
Step-by-step explanation:
Use the Pythagorean theorem for triangle ABD to find the hypotenuse.
7.5^2+4.9^2=c^2. After solving you get that the missing length is about 9 cm. The hypotenuse of ABD is also a leg for ABC so you can use a trigonometric function, tangent, to find x. Set up the equation for opposite and adjacent sides to angle measure 55.8. The equation is tan(55.8)=9/x. In order to isolate the variable you multiply both sides by x to get (x)tan(55.8)=9, then divide both sides by tan(55.8), this leaves you with x=9/tan(55.8). You can then plug this into the calculator to get x is approximately 6.1 cm.
which term of the AP:3,15,27, 39,.....will be 132 more than its 54th term
Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
boxes A and B contain some counters
box A contains more counters than box B
box A: 4k counters
Box B: k+9 counters
what is the smallest possible value of K
Step-by-step explanation:
If we take 4 as k then
4k = 4(4) = 16 boxes
k + 9 = 4 + 9 = 13 boxes
Answer:
4
Step-by-step explanation:
Box A = 4k
Box B = k+9
Box A > Box B
=> 4k > k+9
Subtracting k to both sides
=> 4k-k > 9
=> 3k > 9
Dividing both sides by 3
=> k > 3
So, The smallest possible value of k is 4
A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Which system of equations can be used to
find the number of pencils (x) and pens (/) he bought?
Ox+ 1.5y = 7
X + y = 6
O 1.5x + y = 7
x=6y
Ox + 2y = 7
6x = 1.5y
O 2x + y = 7
6x = 1.5y
Answer:
The first equation is correct
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Because he bought 6 items, x + y = 6. Because a pencil costs 1 dollar and a pen costs 1.5 dollars, and Stefan spent 7 dollars, 1x+1.5y=7.
Hope it helps <3
Write 23 /2 as a mixed number. Give your answer in its simplest form.
Answer:
11 1/2
Step-by-step explanation:
Convert improper fraction to mixed number
23 over 2
= 11 and 1/2
23 ÷ 2 = 11 remainder 1
Answer:
11whole,1 and a half
Step-by-step explanation:
divide 23 by 2
Solve the inequality
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x < 12
x < 4
Answer: x < 4
Step-by-step explanation:
3x < 9 + 3
you’re going to add the two (9+3= 12) numbers.
3x < 12
Then divide both sides of the inequality by 3.
3x < 12 = x < 4.
PLZ HELP!!!!WILL MARK BRAINLIEST AND 20 POINTS!!!
Answer: Find a common denominator on the right side of the equation
Step-by-step explanation:
You can see that they found the common denominator of 4 therefore that is the correct answer
Choose the slope and y-intercept that
correspond with the graph.
Answer:
slope = 2 and y- intercept = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 2)
m = [tex]\frac{2+2}{2=0}[/tex] = [tex]\frac{4}{2}[/tex] = 2
The y- intercept is the value of the y- coordinate at the point where the line crosses the y- axis, that is
y- intercept = - 2
which line is perpendicular to the line y= -1/3 x - 2 and passes through the point (1,4)?
Answer:
y = 3x + 1
Step-by-step explanation:
y= -1/3x
perpendicular so y = 3x + b
the line goes through (1,4), so substitute to find the value b , which is where the line intersects with the y axis.
4 = 3*1 +b
so b = 1
y = 3x + 1
Please answer this ASAP. Maribel is building rectangular pens for her dogs, as shown below. She will fence the entire rectangular area with 78m of fencing. What dimensions enclose the total maximum area. Show your work?
Answer: w = 13 m, L = 19.5 m
Step-by-step explanation:
P = 3w + 2L
3w + 2L = 78
2L = 78 - 3w
[tex]L=\dfrac{78-3w}{2}[/tex]
A = w · L
[tex]A=w\bigg(\dfrac{78-3w}{2}\bigg)\\\\\\A=\bigg(\dfrac{78w-3w^2}{2}\bigg)\\\\\\A=39w-\dfrac{3}{2}w^2\\\\\\0=-\dfrac{3}{2}w^2+39w-A[/tex]
a=-3/2 b=39
[tex]\text{Axis of Symmetry}:w=\dfrac{-b}{2a}=\dfrac{-39}{2(-\frac{3}{2})}=\dfrac{-39}{-3}=\large\boxed{13}[/tex]
[tex]\text{Maximum}:L=\dfrac{78-3w}{2}=\dfrac{78-3(13)}{2}=\dfrac{78-39}{2}=\dfrac{39}{2}=\large\boxed{19.5}[/tex]
Kira drew traingle pqr and stu so that angle p is congruent to angle s, angle q is congruent to angle t, pr equals 12, and su equals 3. Are triangles pqr and stu similar? If so identify the similarity postulate or theorem that applies
Answer:
The similarity postulate theorem is;
Similar - AA
Step-by-step explanation:
We are told that angle p is congruent to angle s, angle q is congruent to angle t.
Thus it is an AA similarity theorem because AA similarity theorem states that: If two angles in one triangle are congruent/respectively equal to two angles of another triangle, then the 2 triangles are similar.
For example, if we assume ΔABC and ΔDEF to be two triangles such that ∠A = ∠D and ∠B = ∠E. Then the two triangles are equiangular and thus they are similar by AA.
Answer: similar AA is correct
Step-by-step explanation:
Just took the test:)
I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
In a local ice sculpture contest, one group sculpted a block into a rectangular-based pyramid. The dimensions
of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this
sculpture
Answer:
Step-by-step explanation:
To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as
Volume = 1/3 × base area × height
Since the base is rectangular, base area = length × width = 3 × 5 = 15 m
Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is
1/3 × 15 × 3.6 = 18 m³
Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³
Step-by-step explanation:
Which of the following is equivalent to 9^3/4 i know the answer just need much more explaining
Answer:
3√3
Step-by-step explanation:
One way to figure this out is to form equivalent expressions. For example, in this case, 9^3/4 = (3^2)^3/4 = 3^3/2 = 3 * 3^1/2 = 3 * √3.
If P = (5,4), find the image
of P under the following rotation.
270° counterclockwise about the origin
([?], [])
Answer:
Number that fits in the green box is 4.
Step-by-step explanation:
Coordinates of a point P are (5, 4)
Rule for the rotation of a point (x, y) 270° counterclockwise about the origin is,
(x, y) → (y, -x)
By this rule, image of the point P(5, 4) will be,
P(5, 4) → P'(4, -5)
Therefore, number that fits in the green box will be 4.
Answer: (-4,5)
Step-by-step explanation:
i got it right ; )
Jafar will get $12400 more if his salary is increased by 31%. Jafar's salary is 20% less of his colleague Ali's salary. What is Ali's salary?
Answer:
Ali's salary is $50000.
Step-by-step explanation:
Let Jafar's salary be x.
(31/100)*x = 12400
x = (12400*100)/31
x = 400*100
x = $40000
Let Ali's salary be y.
y-[(20/100)*y] = 40000
y-(y/5) = 40000
(5y-y)/5 = 40000
4y = 200000
y = $50000
I NEED HELP ASAP PLEASE!!
Answer: b) The mixture has the intended number of pounds and costs more than the intended amount.
Step-by-step explanation: At the point D, there is an equal amount of milk and dark chocolate—they each have 25 pounds. This correlates with the equation of line b: x+y=50. 25+25=50
Since the variable y is the amount of Milk Choclate and the variable x is the amount of Dark Chocloate, the equation of line a: 4x + 2y = 130 can be used. So then you plug in the amount of milk chocolate as “x” and amount of dark chocolate “y“. 4(25) + 2(25) =150.
150 is not equal to 130, so even though it has the intended number of pounds, it costs $150 instead of $130, so it costs more than the intended amount
So be is the answer
Hope this helps:)
How would 5 1/4 be written as a percent? A. 0.0525 B. 0.525% C. 5.25% D. 525%
Answer:
525%
Step-by-step explanation:
set 5 1/4 as a decimal.
5.25 then move decimal point two places to the right to get the percent
525%
Answer:
d
Step-by-step explanation:
what are the factors of 48
Answer:
Step-by-step explanation:
The factors of 48 are :
1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
hope this helps
plz mark as brainliest!!!!!!!!!!
Value: 10
Sco
A TV on ebay is described to be 35.7 inches wide and 20.1 inches
high. To the nearest whole number how many inches is it's diagonal?
Answer: 41 inches
Step-by-step explanation:
Given the following :
Width of Television = 35.7 inches
Height of television = 20. 1 inches
The diagonal of the TV is the hypotenus of the rectangular shape formed by the television.
The diagonal, x, is calculated by:
x = √height^2 + width^2
x = √35.7^2 + 20.1^2
x = √1274.49 + 404.01
x = √1678.5
x = 40.969500
The diagonal of the television to the nearest while number is 41 inches .