Answer:
24 is the answer
Step-by-step explanation:
1/4x4=2 per 1/2 week she can make 4
1/2x4=8 per week
and 8x3=24 so 24 per week
I hope this helped :)
A rectangular folder has a perimeter of 46 inches and an area of 130 square inches. What are
the dimensions of the folder?
Answer:
13 inches and 10 inches
Step-by-step explanation:
First, let's find the factor pairs that make up the area of 130 square inches.
1, 1302, 655, 2610, 13Next, let's see the factor pairs that make a perimeter of 46 inches by using the formula 2(l + w).
2(1 + 130) = 2(131) = 2622(2 + 65) = 2(67) = 1342(5 + 26) = 2(31) = 622(10 + 13) = 2(23) = 46Therefore, the dimensions of the folder are 13 inches and 10 inches.
The sum of a number and eight and three times the same number is at most two times a number plus six
Solve and translate the sentence
Answer:
x > -2
Step-by-step explanation:
x+8+3x>2x+6
4x+8>2x+6
4x-2x>6-8
2x> -2
x > -2
Segment DH is an altitude of △GHC. Which proportion is NOT true?
Answer:
Step-by-step explanation:
HC/DH=DG/GH is false
Ben went with his parents to buy a new outdoor chair. Measure and write the angle of the seat (it has been traced for you) and then explain the steps you took to measure the angle.
Answer:
what is the length we are talking about i need a little more info
Step-by-step explanation:
Watch help video Drag the red and blue dots along the x-axis and y-axis to graph 3x + 5y = 18. 10 9 8 7 5 4 3 2 1 -10 -9 -8 -7 26 -5 -4 -3 1 2 4 5 6 9 -1 -2 -3 -4 -8 -9 -10 IPI O
Step-by-step explanation:
the equation is
3x + 5y = 18
the blue dot is the interception of the line with the y-axis. that is the y value, when x = 0.
the equation for x = 0 is
3×0 + 5y = 18
5y = 18
y = 18/5 = 3 3/5 = 3.6
the red dot is the interception of the line with the x-axis. that is the x value, when y = 0.
the equation for y = 0 is
3x + 5×0 = 18
3x = 18
x = 18/3 = 6
so, you need to move the blue dot to 3.6 and the red dot to 6.
a giant tank in a shape of an inverted cone is filled with oil. the height of the tank is 1.5 metre and its radius is 1 metre. the oil is dripping at the bottom of the tank at the constant rate of 110 cm³/s.
1) Find rate of change for the oil's radius when the radius is 0.5m.
2)calculate the rate of change for the oil's height when the height is 1
20 cm.
3. A circular oil slick was formed with uniform thickness from the drip. Assuming that the thickness of the oil slick is always at 0.1 cm, find the rate of the oil's radius when the radius is 10cm
The given height of the cylinder of 1.5 m, and radius of 1 m, and the rate
of dripping of 110 cm³/s gives the following values.
1) The rate of change of the oil's radius when the radius is 0.5 m is r' ≈ 9.34 × 10⁻⁵ m/s
2) The rate of change of the oil's height when the height is 20 cm is h' ≈ 1.97 × 10⁻³ m/s
3) The rate the oil radius is changing when the radius is 10 cm is approximately 0.175 m/s
How can the rate of change of the radius & height be found?The given parameters are;
Height of the tank, h = 1.5 m
Radius of the tank, r = 1 m
Rate at which the oil is dripping from the tank = 110 cm³/s = 0.00011 m³/s
[tex]1) \hspace{0.15 cm}V = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]
From the shape of the tank, we have;
[tex]\dfrac{h}{r} = \dfrac{1.5}{1}[/tex]
Which gives;
h = 1.5·r
[tex]V = \mathbf{\frac{1}{3} \cdot \pi \cdot r^2 \cdot (1.5 \cdot r)}[/tex]
[tex]\dfrac{d}{dr} V =\dfrac{d}{dr} \left( \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot (1.5 \cdot r)\right) = \dfrac{3}{2} \cdot \pi \cdot r^2[/tex]
[tex]\dfrac{dV}{dt} = \dfrac{dV}{dr} \times \dfrac{dr}{dt}[/tex]
[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{\dfrac{dV}{dt} }{\dfrac{dV}{dr} }}[/tex]
[tex]\dfrac{dV}{dt} = 0.00011[/tex]
Which gives;
[tex]\dfrac{dr}{dt} = \mathbf{ \dfrac{0.00011 }{\dfrac{3}{2} \cdot \pi \cdot r^2}}[/tex]
When r = 0.5 m, we have;
[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{\dfrac{3}{2} \times\pi \times 0.5^2} \approx 9.34 \times 10^{-5}[/tex]
The rate of change of the oil's radius when the radius is 0.5 m is r' ≈ 9.34 × 10⁻⁵ m/s
2) When the height is 20 cm, we have;
h = 1.5·r
[tex]r = \dfrac{h}{1.5}[/tex]
[tex]V = \mathbf{\frac{1}{3} \cdot \pi \cdot \left(\dfrac{h}{1.5} \right) ^2 \cdot h}[/tex]
r = 20 cm ÷ 1.5 = [tex]13.\overline3[/tex] cm = [tex]0.1\overline3[/tex] m
Which gives;
[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{\dfrac{3}{2} \times\pi \times 0.1 \overline{3}^2} \approx \mathbf{1.313 \times 10^{-3}}[/tex]
[tex]\dfrac{d}{dh} V = \dfrac{d}{dh} \left(\dfrac{4}{27} \cdot \pi \cdot h^3 \right) = \dfrac{4 \cdot \pi \cdot h^2}{9}[/tex]
[tex]\dfrac{dV}{dt} = \dfrac{dV}{dh} \times \dfrac{dh}{dt}[/tex]
[tex]\dfrac{dh}{dt} = \dfrac{\dfrac{dV}{dt} }{\dfrac{dV}{dh} }[/tex]
[tex]\dfrac{dh}{dt} = \mathbf{\dfrac{0.00011}{\dfrac{4 \cdot \pi \cdot h^2}{9}}}[/tex]
When the height is 20 cm = 0.2 m, we have;
[tex]\dfrac{dh}{dt} = \dfrac{0.00011}{\dfrac{4 \times \pi \times 0.2^2}{9}} \approx \mathbf{1.97 \times 10^{-3}}[/tex]
The rate of change of the oil's height when the height is 20 cm is h' ≈ 1.97 × 10⁻³ m/s
3) The volume of the slick, V = π·r²·h
Where;
h = The height of the slick = 0.1 cm = 0.001 m
Therefore;
V = 0.001·π·r²
[tex]\dfrac{dV}{dr} = \mathbf{ 0.002 \cdot \pi \cdot r}[/tex]
[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{0.00011 }{0.002 \cdot \pi \cdot r}}[/tex]
When the radius is 10 cm = 0.1 m, we have;
[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{0.002 \times \pi \times 0.1} \approx \mathbf{0.175}[/tex]
The rate the oil radius is changing when the radius is 10 cm is approximately 0.175 m
Learn more about the rules of differentiation here:
https://brainly.com/question/20433457
https://brainly.com/question/13502804
If two sides of a triangle measure 18 centimeters and 22 centimeters what could be the measure of the third side
Answer:
see explanation
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
22 - 18 < x < 22 + 18
4 < x < 40
3rd side can be any value from 5 to 39
show whether or not y=x+3 is tangential to the curve y^2=x
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
8 Opposite sides are congruent. Parallelogram Rhombus Rectangle Square
Answer:
Parrelelogram
Step-by-step explanation:
Conggruent means sam angle but diiferent length and a parrelelogram has s standardized size deviation where the symmetry monsizes the ooppiosite size
Please look at the picture and answer it. Thank you.
Answer:
62°=y
62°=x......
......
......
Complete the angle measurements of the congruent triangles below
Plss plss i need it noww
Answer:
1) x = 40 B = 10
2) y = 50 U = 60
3) y = 7 x = 13
4) y = 77 k = 13
5) x = 9 A = 35
Step-by-step explanation:
Couple of things to remember:
1. The sum of all angles in a triangle equal 180
2. The letters in the congruent statements correspond to which angles are congruent to each other.
In the first problem, the statement has C and F in the same position. Both are the last letter of each triangle. Therefore, they are congruent and should be set equal to each other
2x = 80 (Solve by dividing both sides by 2)
x = 40
This strategy can be used to solve the others.
Write the slope intercept form of the equation of the line through the given points.
Answer:
[tex]y=-3x+-5[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-3, 4) = (x1, y1)
Point B = (0, -5) = (x2, y2)
To find the slope intercept of a line we must first find the slope, using the formula for slope or rise over run.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-5-4}{0--3} =\frac{-9}{3}[/tex]
[tex]\frac{-9}{3} \div3=\frac{-3}{1} =-3[/tex]
[tex]m=-3[/tex]
Now to find the slope intercept of a line, we must use the formula to find the slope intercept and solve for b.
[tex]y=mx+b[/tex]
[tex]m=-3[/tex]
[tex]y=4[/tex]
[tex]x=-3[/tex]
[tex]4=-3(-3)+b[/tex]
Solve for b:
[tex]4=-3(-3)+b[/tex]
[tex]-3\times-3=9[/tex]
[tex]4=9+b[/tex]
[tex]9-9=0[/tex]
[tex]4-9=-5[/tex]
[tex]b=-5[/tex]
[tex]y=-3x+-5[/tex]
The slope intercept of the line is "y = -3x +-5."
Hope this helps.
Complete the inequality statement. 5/8___7/12
[tex][Hello,BrainlyUser][/tex]
Answer:
5/8 < 7/12
Step-by-step explanation:
To find which is greater we can turn them into a decimal..
5/8 ⇒ 0.625
7/12 ⇒ 0.583
Then, we compare the two decimal numbers to get the answer.
0.625 is greater than 0.583.
Therefore, 5/8 is greater than 7/12 .
CloudBreeze]
Answer:
5/8 > 7/12
Step-by-step explanation:
I gave the two fractions a common denominator so it could be judged easily.
As you can see here, 5/8 is slighty higher than 7/12
5/8*3/3= 15/24
7/12*2/2=14/24
WANT POINTS JUST ANSWER THIS CORRECTLY FOR 45!!!
Gage skated 1 hr 15 min each day for 5 days and 1 hr 30 min each day for 3 days. How many minutes would he have to skate the ninth day in order to average 85 minutes of skating each day for the entire time?
Utilize graphing to find the solution to
the following system of equations.
y = x-1 AND y = -x-5
([?], []).
Enter
1.) We cannot construct a triangle if two of its angles are of measures
__________________.
a) 120°, 30°
b) 60°, 90°
c) 95°, 90°
d) 60°, 60°
1.) We cannot construct a triangle if two of its angles are of measures
C. 95°, 90°We cannot construct such angle because when one angle is 90°, others cannot be close to it because it will form a right angle triangle and we know that it has 3 angles. Also if the angle will 95°, it will be wrong since the sum of all angles must be 180°...
Answer:
95,90
Step-by-step explanation:
According to angle sum property the sum of angles of a triangle is 180°
So here that be x
x=180-(95+90)=180-185=-5°Angle can't be negative
marty got a score of 45 with two throws on this dart board which categories did he hit?
Answer:
47
Step-by-step explanation:
the answer will be 47 because 47 +2=47 so and there you have it that's the answer
Answer:
123 save some for me
Step-by-step explanation:
that what you get :)
The difference of x and (-5) is no more than (-9)
Answer:
x + 5 [tex]\leq[/tex] -9
Step-by-step explanation:
difference means subtraction, so -(-5). The two negatives cancel out so it's +5. "no more than" means less than or equal to, in this case, -9. put these steps/numbers all together and you get x + 5 [tex]\leq[/tex] -9
Find the 50th term of the following arithmetic sequence. 5,9,13,17
Answer:
201
Step-by-step explanation:
What is the sum of x-2 and 3x+8
Answer:
[tex]\huge\boxed{\sf 4x + 6}[/tex]
Step-by-step explanation:
Adding x - 2 and 3x + 8
= x - 2 + 3x + 8
Combine like terms
= x + 3x - 2 + 8
= 4x + 6
[tex]\rule[225]{225}{2}[/tex]
Answer: The sum of x-z and 3x+8 is equal to 6x^2-6x-6 .
Bianca is taking collections for this year's Feed the Hungry Project So far she has
collected $200 more from Company A than from Company B and $800 more from
Company C than from Company A. Until now, she has collected $3,000. How much
did Company C give?
HELP WILL MARK AS BRAINLIEST 1. Ali earned $6.50 per hour for babysitting. If she earned $113.75 last week, how many hours did she work?
Equation: 6.5x = 113.75 Solution:
put solution in as an improper fraction or decimal. and will give you 75 points
Answer:
[tex]\mathsf{x=\dfrac{35}{2}}[/tex] or [tex]\mathsf{x=17.5}[/tex]
Step-by-step explanation:
Given:
Babysitting rate = $6.50 per hourWeekly income = $113.75Let x = number of hours worked
⇒ 6.5x = 113.75
[tex]\implies \mathsf{x=\dfrac{113.75}{6.5}}[/tex]
[tex]\implies \mathsf{x=\dfrac{35}{2}}[/tex]
[tex]\implies \mathsf{x=17.5}[/tex]
A right prism has a triangle base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards. What is the volume of the prism?
Answer:
c
Step-by-step explanation:
Find the missing number so that the equation has no solutions. x – 5 = –3x + 8
Answer:
13/4
aka
[tex]\frac{13}{4}[/tex]
so hope it helps
Please help, look at the photo.
what is the answer to 3t^8
Answer:
what you are looking? if you need a answer I think it is 24t^7 but tell me what are you looking
Brainliest? Which situation can be modeled by this graph?
Answer:
d) A ball is thrown directly upward from an initial height of 7 feet, will reach a maximum height of 19.3 ft in 0.9 s, and finally will hit the ground in 2 s.
Step-by-step explanation:
The y-intercept of the curve is at (0, 7) so when t = 0, the ball is 7 ft above the ground. Therefore, the ball is thrown from an initial height of 7 feet.
The maximum point of the curve is (0.9, 19.3) which means the maximum height is 19.3 feet is reached after 0.9 seconds.
Finally, the curve intercepts the x-axis at t = 2, which means at 2 s the ball's height is zero, i.e. it hits the ground at 2 s.
What is the equation of the line that passes through the points 15,9 and -2,9
Answer:
[tex]\displaystyle y = 9[/tex]
Explanation:
Both ordered pairs have similar y-coordinates. In addition, any straight line like this one, is considered a zero rate of change [zero slope], therefore you have your equation above.
I am joyous to assist you at any time.
6 Jamila uses a tape measure to find the length of her desk. It is 1 metre 8.5 centimetres. Write this in metres.
Answer:
1.085 metres
Step-by-step explanation:
1 cm = 0.01 m
8.5 cm = 0.085 m
1m+0.085m=1.085 metres
Answer:
1.085 metres
Step-by-step explanation:
100 centimetres = 1m
what about 8.5 cm?
Divide the centimetres by 100
8.5/100 = 0.085m
Then add the metre(s) you already have which is 1
thus 0.085 + 1
1.085m
About how much flooring is needed for a room that is 10 feet wide and 20 feet long?
Answer:
200ft²
Step-by-step explanation:
1x2=2
10x20=200
So hence, you need 200ft² of flooring for a rom that is 10 feet wide and 20 feet long.
Thanks!