Answer:
b=9
Step-by-step explanation:
since a varies directly as b,
a=kb
k=a/b
k=8/3
but when a=24, b will be given by
b=a÷k
b=24÷8/3, b=24×3/8
b=9
Evaluate the expression when a = 6 and x = -3.
-a+7x
Answer:
-27
Step-by-step explanation:
The equation -a+7x, when plugged in shows -6+7*(-3).
This gives us -6-21 which is -27.
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if ABCD is a rectangle find angle ABD
Answer:
61 degrees
Step-by-step explanation:
First, find x. CBD=BDA
x+18=4x-15
x=11
Four interior angles of a rectangle are all 90 degrees. So to find ABD, subtract CBD from 90 degrees. So 90-29=61 degrees.
Six friends went apple picking.
They picked a total of 49 pounds
of apples that they shared equally.
How many pounds of apples did
each one take home?
an object is launched at 4 ft./s from 88 foot tall platform the objects height H in feet after T seconds is given by the equation H=-16T^2+8t+80 when does the object strike the ground
Answer:
1.5seconds
Step-by-step explanation:
When the ball hits the ground, the height is equal to zero. So find t when H=0:
H=16t²+8t+80
0=16t²+8t+80
0=2t²+t+10
0=(2t-3)(t+2)
So (2t-3)=0, or (t+2)=0
So t=1.5 or t=-2. Time can't be negative though, so we take our answer as 1.5seconds
Find the circumference and the area of a circle
with the dimensions listed. Use the value 3.14 for π
,and do not round your answers. Be sure to
include the correct units in your answers.
a) diameter of 3 cm
b) radius of 5 ft
In response to the question, we may say that As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq
What is circle?A circle seems to be a two-dimensional component that is defined as the collection of all places in a jet that are equidistant from the hub. A circle is typically shown with a capital "O" for the centre and a lower portion "r" for the radius, which represents the distance from the origin to any point on the circle. The formula 2r gives the girth (the distance from the centre of the circle), where (pi) is a proportionality constant about equal to 3.14159. The formula r2 computes the circumference of a circle, which relates to the amount of space inside the circle.
a) 3 cm diameter: The radius (r) of a circle is half its diameter, hence r = 3 cm/2 = 1.5 cm
The formula C = 2r gives the circumference of a circle, where is approximately equivalent to 3.14.
As a result, C = 2 3.14 1.5 cm = 9.42 cm.
The formula A = r2 calculates the area of a circle.
As a result, A = 3.14 (1.5 cm)2 = 7.065 cm sq.
As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq
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Please help I have to turn it in at 11:30
Answer/Step-by-step explanation:
3. Volume = l*w*h = 1*3*1 = 3 ft³
Surface area = 2(lw + wh + lh) = 2(1*3 + 3*1 + 1*1) = 14 ft²
4. V = 216 cm³
w = 6 cm
l = 12 cm
h = ?
V = l*w*h
Plug in the given values and find h
216 = 12*6*h
216 = 72*h
216/72 = h
h = 3
Surface area = 2(lw + wh + lh)
= 2(12*6 + 6*3 + 12*3) = 252 cm²
5. V = 120 m³
h = 4 m
l = 5 m
w = ?
V = lwh
Plug in the given values
120 = 5*w*4
120 = 20*w
120/20 = w
w = 6 m
Surface area = 2(lw + wh + lh)
= 2(5*6 + 6*4 + 5*4)
= 148 m²
6. V = 726 in³
h = 11 in
w = 33 in.
l = ?
V = lwh
Plug in the values
726 = l*33*11
726 = l*363
726/363 = l
l = 2 in
Surface area = 2(lw + wh + lh)
= 2(2*33 + 33*11 + 2*11)
= 902 in²
At the beginning of the year, Evelyn had $30 in savings and saved an additional $12 each week thereafter. Cooper started the year with $75 and saved $7 every week. Let E E represent the amount of money Evelyn has saved t t weeks after the beginning of the year and let C C represent the amount of money Cooper has saved t t weeks after the beginning of the year. Write an equation for each situation, in terms of t , t, and determine the interval of time when Evelyn has more in savings than Cooper.
Answer:
E=12t+30 C=7t+75
Evelyn has more in savings than Cooper when t > 9 weeks.Step-by-step explanation:
Suppose the linear regression line y = 3.125x – 23.115 predicts a lemonade stand's profits based on the number of cups sold. If x represents the number of cups sold, and y represents the lemonade stand's profits in dollars, about how much can the lemonade stand expect in profits if it sells 225 cups?
Answer:
680
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Don’t waste an answer if you ain’t gonna help :)
In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day
Answer:
The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:
= 1.
Step-by-step explanation:
a) Data and Calculations:
Endoscopies EP Studies Total
Projected number of studies 60 5 65
Time in minutes for per study 5 15
Total time required (in minutes) 300 75 375
Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.
b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1. The FTE has 450 minutes available for the additional procedures. She will only require 375 minutes. Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.
Alguien que hable español??
The side length of thr hexagon is 16 centimeters,and the length of the digonal shown is 32 centimeters. Charles measured the height of one of trapezoids and found that the height of one of the trapezoids and found that the height was 13.9 centimeters. Find the area of the hexagon.
Answer:
669cm2
correct question
Charles drew a regular hexagon and divided it into two identical trapezoid , the side length of the hexagon iscoming16cm,the diagonal shown in fig 30 is 32 cm Charles measure the height of one the trapezoid and found that the height was 13.9 cm find the area of the area
Step-by-step explanation:
The side length of the hexagon should be given which is 16 cm
To get the Length the side length makes with the height of the trapezium, Pythagoras theorem is applied to get the base of the triangle
Base = √((16)^2 - (13.9)^2
Base = √62.29
Base = 7.92cm
Since we have gotten the base
Diagonal - the base gives the top length of the trapezium.
32- 7.92- 7.92 = 16.16
The area of the hexagon gives the 2 times of the trapezium.
To find the area of the trapezium
= 1/2 * ( a+b)h
= 1/2* ( 32+ 16.16)* 13.9
= 24.04*13.9
Area of the trapezium = 334.71cm2
= 334.71 * 2
= 669.42cm2
Hope this helps
3. An artist is creating a sculpture from clay. He starts with clay in the shape of a sphere with a radius of 3 inches.
What is the approximate volume of the clay sphere the artist started with?
Answer:
Step-by-step explanation:
The volume of the clay sphere the artist started with is 113.04 in^3
What is the volume of the clay sphere?We know that the artist starts with a sphere of clay with a radius of 3 inches, and we want to find the volume of clay that he has.
Then we just need to find the volume of the sphere.
Remember that for a sphere of radius R, the volume is:
[tex]V = (4/3)*3.14*R^3[/tex]
In this case, R = 3 in, replacing that we get.
[tex]V = (4/3)*3.14*(3 in)^3 = 113.04 in^3[/tex]
The volume of the clay sphere the artist started with is 113.04 in^3
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The radius of a circle is 1 meter. What is the circle's area?
Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10. (4 points)
one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10
Answer:
C
Step-by-step explanation:
I got it correct on a test
Please solve this
I will mark you as brainleist
I will like your answer
I will give you five stars
I will follow you
Answer: -5
= (-50 + 5)/9
= -45/9
= -5
Answer: -5
Step-by-step explanation:
-50+5= -45
-45/9= -5
A group of 15 people were surveyed about the month they were
born. How many of the students were born in March?
.
3/5 born in September
1/3 born in December
Which term could be put into the blank to create a fully simplified polynomial written in standard form
Answer:
[tex]x^{2} y^{2}[/tex]
Step-by-step explanation:
What is the area of this trapezoid?
b2=2 in.
h = 5 in.
bi = 6 in.
Answer:
30 inches
Step-by-step explanation:
Please, my whole grade depends on this question!!!
Answer:
y = 14.4x - 18.4
Step-by-step explanation:
This is the equation for the regression line, I hope this helps!
A storage trunk is shaped like a rectangular prism. The trunk's volume is 18 cubic feet. The length of the trunk is 6 feet, and the width of the trunk is 2 feet. What is the height of this trunk
Answer:
1.5
Step-by-step explanation:
The height is 1.5 because to find the volume of a rectangular prism, you do length x width x height. Without height, you multiply length x width (6x2) and divide that by the volume (18 divided by 12 = 1.5)
9. Waldo and Freddy caught fish one weekend. The dot plots show the lengths of the fish they caught. Length of Waldo's Fish + 16 15 17 18 19 20 21 22 Inches Length of Freddy's Fish
The Range of the length of the fish caught by Freddy is Greater than the range of the length of the fish caught by Waldo.
Step-by-step explanation:
How many miles did Byron drive? Please do not guess!
=======================================================
Explanation:
The distance from his house to the gas station is 5 miles. We can find this by counting out the number of spaces between the two points (since the chart indicates that 1 unit = 1 mile). Or we can subtract the x coordinates to get 8-3 = 5. This only works because the y coordinates of each point are the same value.
To find the distance from the gas station to the market, we subtract the y coordinates this time. This only works due to the x coordinates being the same. We get a distance of 8-3 = 5 miles.
Overall, the total distance Byron drives is 5+5 = 10 miles.
Solve the system: 35x=3y+5 49x=4y+9
PLEASE HELP NEED ASAP
Answer:
x = 1
y =10
Step-by-step explanation:
. Look at the figure. In degrees, what
is the angle measure of the shaded
part?
Answer:
80%
Step-by-step explanation:
find the erea of the trapezoid.
Answer:
36
Step-by-step explanation:
A (base) 6
B (Base) 12
H (height) 4
Answer choices
40%
50%
What is the answer please help if you put a link I will report you I’m being dead freaking serious
Answer:
50%
Step-by-step explanation
add the total and divide 35 (flowers sold by 5th graders) over 70 (total number of flowers sold by all 3 grades)
One earthquake has a MMS magnitude 4.1. If a second earthquake has 540 times as much energy as the first, find the magnitude of the second quake.
Answer:
This is not the case. Instead, use the equation M = 2/3log(S/S 0), where M is the amplitude of the first earthquake and S is the seismic moment. In this instance... 2/3log(S/S 0) = 3.3 log(S/S 0) = 3.3(2/3) log(S S 0) = 4.95 ten S = 10 = 4.95 = S/S 0 4.95*S 0*S 0*S 0*S 0* 610*104.95*S 0 = S 2/3log((610*104.95*S 0)/S 0) M M = 2/3log(60*104.95) M = 2/3log(60*104.95) M = 2/3log(60 5.156887 M = 5.156887 M = 5.156887 M = 5. As a result, the magnitude of the second quake is 5.156887.
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If x = -3, then which inequality is true?
F. -5x + 2 ≤ 12
G. 3x – 7 ≥ −16
H. 14 + 2x < 5
J. 1/2 x + 6 > 11