Answer:
a.= 3.714
b.= 2.405
Step-by-step explanation:
a. 3.714 x 21 = 78
b. 2.405 x 37 = 89
physics convention 11 companies set up equal sized square booths in a row along one wall of a convention center.The booths are adjacent to each other and a 2-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 1200 ft^2. What is the side length of each booth?
Answer:
Side length of each booth is 8.35 ft approximately.
Step-by-step explanation:
There are 11 companies set up equal sized square booths in a row along one wall of a convention center.
Now, refer the diagram to answer the problem.
It is given area is 1200.
So, length x width =1200
(11x+24)(x+2)=1200
Multiply using FOIL method.
[tex]11x^{2}[/tex]+22x+24x+48=1200
[tex]11x^{2}[/tex]+46x+48-1200=0
[tex]11x^{2}[/tex]+46x-1152=0
Solve using quadratic formula
x=[tex]\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}[/tex]
x=[tex]\frac{-46+/-\sqrt{2116+50688} }{22}[/tex]
x=[tex]\frac{-46+/-\sqrt{52804} }{22}[/tex]
Simplify it
[tex]x=\frac{-49+/- 229.79}{22}[/tex]
Simplify to get two values for x.
x=8.35; x=-12.67
Here negative does not work.
Side length of each booth is 8.35 ft.
Darryl has $12 to spend on snacks after he buys his movie ticket.He buys a $6.50 popcorn.if he spends the rest of his money on $2.10 candy bar’s, how many bars can he buy ?
x/10 +6 ≥ 8 (please help me with this asap)
Answer:
x >= 74
Step-by-step explanation:
x/10 (* 10) + 6 >= 8 (* 10)
x + 6 (- 6) >= 80 (- 6)
x >= 74
Answer:
does the dog talk spanish
Step-by-step explanation:
Determine whether the statement is TRUE or FALSE.
1. 5 | 475
Answer:Not possible to divide really.
Step-by-step explanation: Don't get your quetsion where's the statement or wtv?...
10. State whether each statement is true or false.
Answer
False
True
False
Tina recorded these temperatures in one day:
Morning temperature: +8°F
Afternoon temperature: 0°F
Night temperature: −3°F
Which statement is correct based on the given measurements?
The morning temperature was 8 degrees above the night temperature.
The morning temperature was 8 degrees below the afternoon temperature.
The night temperature was 3 degrees below the afternoon temperature.
The night temperature was 3 degrees above the morning temperature.
Answer: the night temperature was 3 degrees below the afternoon temperature
Step-by-step explanation:
What is the slope of the line
Answer:
-1/2 is the slope
Step-by-step explanation:
this is because you move 4x on the other side of the equasion making it -4x, you divide by 8 and it makes -1/2x
Solve 6kx = 4kx + 8 for x.
Start by collecting the variable terms on the same side of the equation.
What is the first step?
Answer:
x = 4k
Step-by-step explanation:
6kx = 4kx + 8
The first step in solving for x is to get both numbers with kx on the same side. Move the 4kx to the left side of the = by subtracting 4kx from each side.
2kx = 8
Next, move the 2k to the right side of the = by dividing both sides by 2k
x = 8/2k
The last thing to do is to simplify the equation by making the 8/2 to 4/1 or 4.
x = 4k
Please see if you can do this problem! Thank you so so much!!
What is the equation of the line that passes through point ( -6, 5) with a slope of 4?
I chose y=4x+29 but got it wrong
The cost to rent a construction crane is $1200 per day plus $150 per oh use. Your budget for one-day crane rental is a most $3600
Question 6 of 10
What is the length of the blue segment in Oo below?
8.53
A. 8.53 units
B. 12.48 units
C. 17.06 units
D. 6.24 units
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Elena's bedroom door is 0.08 m. How wide should the door be on the scale drawing? Elena's bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed
Given:
Bedroom is a rectangle with length 5 m and width 3 m.
Elena's bedroom door is 0.08 m.
Elena's bed measures 4 cm by 3 cm.
Scale of drawing is 1 to 50.
To find:
The width of door on the scale drawing.
Actual measurements of her bed.
Step-by-step explanation:
Scale of drawing is 1 to 50.
It means, the length of sides in drawing is [tex]\dfrac{1}{50}[/tex] of actual.
Elena's bedroom door is 0.08 m.
1 m = 100 cm
0.08 m = 8 cm
Door on the scale drawing [tex]=\dfrac{1}{50}\times 8[/tex]
[tex]=0.16[/tex]
Therefore, the Door on the scale drawing is 0.16 cm wide.
Elena's bed measures 4 cm by 3 cm on the scale drawing.
Elena's bed actual measurements are
[tex]4\times 50=200cm=2m[/tex]
[tex]3\times 50=150cm=1.5m[/tex]
Therefore, the actual measurements of her bed is 2 m by 1.5 m.
a submarine dived 308 feet in 4 minutes. Find the average change in depth of the submarine each minute
Answer: 77
Step-by-step explanation:
the double number line show the ratio of feet to miles
how many feet are in 3 miles
Simplify 23/128 ........
Answer:
23/128 is the most simplified form
Step-by-step explanation:
The GCF of 23 and 128 is 1, so it can't be reduced any further.
I hope this helps!
Help me please is urgent
Answer: 5/4
Step-by-step explanation:
Slope = rise over run
Up 5 over to the right 4
2)
What is the slope of the line defined by the equation y = -3x + 2?
A)
-3
B)
-3/2
C)
2
D)
3
it says round to the nearest hundredth
Answer:
I think it's 3.83
Answer:
Rounded to the nearest hundredth, the answer is 3.83cm^3
Step-by-step explanation:
The equation for the volume of a pyramid is
Lwh/3
The length is 1.8, the width is 2.2, and the height it 2.9. These multiplied together is 11.484. Divide that by three, and you get your answer of 3.828, which when rounded to the nearest hundredth place is 3.83.
Hope this helps!
i need to know the answer to this, im not sure if i know it.
Answer:
Put a Greater than symbol >
Step-by-step explanation: That question is showing absolute value which is basically the amount it takes to get there from zero.
-5 with absolute value becomes a regular 5
Answer:
its >
Step-by-step explanation:
Elyse wants to buy a new softball glove that costs $45. She has $15 and plans to save 5 each week. How many weeks will it take her to save the money?
Answer:
6 weeks :)
Step-by-step explanation:
it will take her 6 weeks
45-15 is 30.
30/5 is 6
Answer:
It will take her 6 weeks.
Step-by-step explanation:
$45-$15=$30
$30 ÷ $5 = 6
Find the slope:
A.3/5
B.5/3
C-3/5
D.-5/3
Answer:
The slope of the line is [tex]\frac{-5}{3}[/tex] ⇒ D.
Step-by-step explanation:
The rule of the slope of a line is
m = [tex]\frac{y2-y1}{x2-x1}[/tex] (x1, y1) and (x2, y2) are two points lie on the lineUse the given figure to find two points on the line
→ From the given figure
∵ The line passes through points (0, 2) and (3, -3)
∴ x1 = 0 and y1 = 2
∴ x2 = 3 and y2 = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-2}{3-0}=\frac{-5}{3}[/tex]
∴ m = [tex]\frac{-5}{3}[/tex]
∴ The slope of the line is [tex]\frac{-5}{3}[/tex]
8x = 10x + 20
Could you guys explain as well?
Answer:
x= -10
Step-by-step explanation:
-8x+10x+20=0
2x+20=0
2x=0-20
2x=-20
x=-20/2
x= -10
Answer:
x = -10
Step-by-step explanation:
8x (-10x)= 10x +20 (-10x)
subtract 10x from both sides of the equation
-2x/-2 = 20/-2
divide both sides by -2
x = -10
here is a list of number
51 38 48 36 39 40 39 47
Answer:
mode is 39
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
-3 3/7 x 3/8. Explain step by step.
1.28571428571 this is the answer thank you please give me 5 stars.plis
Solve each equation using the Properties of quality. Check your solutions
3. 4a + 3 =11
4. 8 =3r-1
6. 3x + 0.3 =3.3
5. 42=-2d+ 6
8. 9-c= -13
7. 15y + 31 =61
help me solve this, cause me stuck
Answer:
[tex]4 \times 10 {}^{ - 4} [/tex]
Hopes it helps you.....Thank you ☺️
Lily cleans 3 houses in 7.5 hours. If she works 8-hour days for 7 days (with no breaks), how many houses could she clean?
Answer:
About 21 houses in 7 days
Step-by-step explanation:
Solve each system by elimination: -6x-y=-17 -2x-3y=-3
Answer:
(3, -1)
Step-by-step explanation:
Multiply the 2nd equation (-2x-3y=-3) times -3 to eliminate x
Subtract/add the other terms -y + 9y and -17 + 9
Then divide 8y = 8
y= -1
Substitute y in the other equation
x = 3
(3, -1)
Answer:
Point Form: ( 3 , − 1 )
Equation Form: x = 3 , y = − 1
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
if a = 4 and b=3, what is the value of (a+b) (a-b)
Answer:
-7
Step-by-step explanation:
(4+3)x(4-3)
4+3=7
4-3=-1
7x-1= -7
1. Is 60/12 = 6/2 a proportion Yes or No? 2. Is 3/24 = 4/32 a proportion Yes or No?
Answer:
1. no
2. yes
Step-by-step explanation: