Answer:
6
Step-by-step explanation:
Answer:
6 is answer
Step-by-step explanation:
There are 1,092 people who work in an office building. The building has 4 floors, and the same number of people work on each floor. How many people work on each floor?
Answer:
273 people.
Step-by-step explanation:
Given that,
Total number of people working on an office building = 1092
The building has 4 floors, and the same number of people work on each floor.
We need to find how many people work on each floor. Let there are n people in each floor.
n = Total number of people/Total number of floors
[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]
So, there are 273 people working on each floor.
Answer this question plss
correct answer get's brainliest :D
Answer:
C
Step-by-step explanation:
Answer:
The answer is A :)
brainliest pls
A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)
Answer:
Step-by-step explanation:
Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.
a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{(160-120)}{(0-8)}[/tex]
= -5
A-intercept = 160
b). Linear equation to represent the given relation in the graph will be,
A = (-5)t + 160
c). At t = 15 minutes,
A = (-5)(15) + 160
A = -75 + 160
A = 85 liters
d). This model is applicable till the container gets fully emptied.
For A = 0,
0 = -5t + 160
t = [tex]\frac{160}{5}[/tex]
t = 32 minutes
Therefore, this model is reasonable up to t = 32 minutes.
The perimeter of parallelogram ABCD is 92 cm. AD is 1 cm more than twice AB. Find the lengths of all four sides of ABCD
(1 point)
Answer:
Step-by-step explanation:
The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let x = |AD| (the length of the side AD).
Let y = |AB| (the length of the adjacent side AB).
Then
2x + 2y = 92 (the perimeter)
x - 2y = 1 ("AD is 1cm more than twice AB.")
Add the two equations (both sides) and get
3x = 92 + 1 ---> 3x = 93 ---> x = 93/3---> x = 31.
Then from the second equation 2y = x - 1 = 30-1 = 30.
Hence, y = 30/2 = 15.
Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.
A hotdog costs $3 and a corndog costs $1.5 . If was collected, write a mathematical sentence to represent this information.
Answer:
4.5
Step-by-step explanation:
3+1.5=4.5
i need help with this can you show me some work so i can do it by my self after
Answer:
Step-by-step explanation:
1) √36 = 6
2) ^3 √8 = 2
3) ^3 √64 = 4
11. UZ, VX, and TW are medians of Triangle TUV. If UZ = 21, find UY.
Answer:
UY = 14
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertexIn the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U
∴ UY: YZ = 2: 1
∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ UY × 1 = YZ × 2
∴ UY = 2YZ
∵ UZ = UY + YZ
∴ UZ = 2 + 1 = 3 parts
∵ UY = 2 parts
∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]
→ Multiply both sides by UZ
∴ UY = [tex]\frac{2}{3}[/tex] UZ
∵ UZ = 21
∴ UY = [tex]\frac{2}{3}[/tex] (21)
∴ UY = 14
Which value of n makes the equation true?
1/2(n+4)=6
Answer:
8
Step-by-step explanation:
1/2(12)=6
Answer:
8
Step-by-step explanation:
1/2(8+4)=6
Which graph shows a line with a slope of 0?
Answer: c
Step-by-step explanation: if there is no y then its just x=-2
Answer:
c
Step-by-step explanation:
m=y/x and in this case the graph doesn't cross y so ot is valued 0
Here is a scale drawing of a garden.
Kim wants to plant a tree in the garden according to the following rules:
It must be 7 m from A and 4 m from C.
Place a cross where Kim can plant the tree.
1 cm represents 2 m
D
2.5 cm
А A
B.
4 cm
View One Minute Version
Answer:
The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)
Step-by-step explanation:
The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing
The given parameters of the scale drawing are;
The scale of the drawing is 1 cm = 2 m
The dimensions of the rectangle representing the garden in the scale drawing is given as follows;
The width of the rectangle = 2.5 cm
The length of the rectangle = 4 cm
The required location where the tree is to be planted = 7 m from A and 4 m from point C
Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C
Taking the coordinate of point A as the origin, we have;
The coordinates of point A = (0, 0)
∴ The coordinates of point C = (4, 2.5)
The general equation of a circle is (x - h)² + (y - k)² = r²
Where, (h, k) is the coordinate of the center of the circle
The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C
Therefore, for point A, we have;
(x - 0)² + (y - 0)² = 3.5²
x² + y² = 12.25...(1)
For point C, we have;
(x - 4)² + (y - 2.5)² = 2² = 4
Which gives;
x² - 8·x + 16 + y² - 5·y + 6.25 = 4
x² + y² - 8·x - 5·y + 22.25 = 4
We have x² + y² = 12.25 from equation (1), therefore, we have;
12.25 - 8·x - 5·y + 22.25 = 4
- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5
∴ 8·x + 5·y = 30.5
y = (30.5 - 8·x)/5
Therefore, we have;
x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25
Using a graphing calculator we get;
356·x² - 1952·x + 2496 = 0
Which gives;
x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)
x = 3.452197227 or 2.03094884081
To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;
Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368
or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547
y = 0.5764844368 or 2.8504818547
To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;
(3.45, 0.58) or (2.03, 2.85)
We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.
Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)
Answer:
Step-by-step explanation:
Make sure to use protractor and cross tools to get full marks
Thank you
pls help!!!!!!!!!!11
Answer: A
Step-by-step explanation: Every hour the temperature goes down 2 degrees and the h wouldn't go on the 32! Good luck! :D
Answer:
C. t = –4h + 21
Step-by-step explanation:
We know that when h = 0, t = 21°F. Replacing h = 0 in equation A and D we get:
A.
t = 21h + 4
t = 21(0) + 4
t = 4
D.
t = –21h + 4
t = –21(0) + 4
t = 4
So, none of them are correct.
The temperature drops 4 degrees every hour, this means that for h = 1 then t = 21 - 4 = 17. Replacing h = 1 in equation B and C we get:
B.
t = 4h + 21
t = 4(1) + 21
t = 25
C.
t = –4h + 21
t = –4(1) + 21
t = 17
In consequence, C is the correct option.
 ......... you can give me solving
Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?
HELP PLEASE I ONLY HAVE 10 MINUTES LEFT I WILL MARK BRAINLIEST ANSWER
Which equation results from adding the equations in this system?
11x-3y=-17
-4x+3y=-18
A -7x= -35
B -7x= 35
C 7x= -35
D 7x= 35
adding 11x and -4x makes it 7x
adding-3y and 3y cancels it out so your left with nothing
adding a negative and a negative keeps it a negative so its 18+17 making it -35
so the answer is C
What's the answers to Part A and Part B?
Answer:
there's nothing there
Step-by-step explanation:
The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If the football team needs to raise at least $3,000 for equipment, write an inequality to represent the situation and find the least number of "Jaguar Cards" the team must sell.
Answer:
The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.
If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.
Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].
Now, on solving we get,
[tex]20x\geq 3000[/tex]
[tex]\implies x\geq \frac{300}{20}[/tex]
[tex]\implies x\geq 15[/tex]
Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.
Writing an inequality function:Since
Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment
20x≥30,000
x≥15
Based on this, the above represent the inequality function.
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Please help! Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
Answer:
$715.50 my dudeeee
Step-by-step explanation:
..........
Ralph pays a total of $715.5 for the computer including the sales tax amount.
What is Percentage?Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.
Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.
Actual price of the computer = $675
Sales tax rate = 6%
Ralph has to pay the actual price and in addition the sales tax to buy the computer.
Amount of sales tax = 6% × 675
= (6/100) × 675
= 0.06 × 675
= $40.5
Ralph should add $40.5 to the actual price.
Total payment made for buying the computer = $675 + $40.5
= $715.5
Hence Ralph pays a total amount of $715.5 for the computer.
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I need help with this.
Answer:show me
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, SQ = 47 feet, and RS = 70 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
33.9
Step-by-step explanation:
What function uses the OPPOSITE and the ADJACENT?
tanR=
adjacent /opposite
=
70/ 47
tanR=
70 /47
R=tan
−1
( 70 /47 )
Write the equation of the line that passes through the points (-9,-6) and (−8,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
plz help ill give brainliest if correct
Answer: The slope is 7
m =7
y + 6 = 7 ⋅ ( x + 9 )
Step-by-step explanation:
Hi another math question please help:)
Answer:
1). Yes
2). Yes
3). No
Step-by-step explanation:
1). y = 3
We can rewrite this equation in the slope-intercept form as,
y = 0.x + 3
Here, slope = 0
y-intercept = 3
Therefore, it's a linear relation.
YES.
2). 2x - 5y = 10
5y = 2x - 10
y = [tex]\frac{2}{5}x-2[/tex]
Therefor, it's a linear function.
YES
3). y = x(x + 3)
y =x² + 3x
Since, this equation is a quadratic equation,
It's not a linear function.
NO
It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone? StartFraction 5 Over 8 EndFraction plus 5 r equals 8. + 5r = 8 5 times StartFraction 5 Over 8 EndFraction equals r. + 5r = 1 5(5 times StartFraction 5 Over 8 EndFraction equals r.) = r StartFraction 5 Over 8 EndFraction equals 5 r. = 5r
Answer:
5/8+ 5r = 1
Step-by-step explanation:
When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool.
Where r = rate in parts per minutes
Hand held hose = 8 minutes
Lawn sprinkler = x
If the hose and sprinkler are used together, it takes 5 minutes to fill the pool.
Hence:
5/8+ 5r = 1
The equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone is given as:
5/8 + 5r = 1
Simplify the expression:
4x2 + 9x + 14 + 4x2 - 2x
ASAP PLEASEEEEEEE
Answer:
8x²+7x+14
Step-by-step explanation:
4x²+4x²= 8x²
9x-2x= 7x
14=14
8x²+7x+14
hope it helps! please mark me brainliest
thank you! have a good day ahead
help i forgot how to do this
Answer:uhhh
Step-by-step explanation: ok so ask for help from teacher maybe
Solve for z. 12=15(z-1/5)
Answer:
1
Step-by-step explanation:
First, Distribute
Then, add 3 to both sides
Then, Divide 15 from both sides
1=Z
help me, please
. Which rate is about the same as 45 miles per hour?
A. 95 kilometers per hour
B. 72 kilometers per hour
C. 56 kilometers per hour
D. 32 kilometers per hour
Answer:
Option B.
Hey there!
According to the question,
45 miles per hour is given.
Then;
1 mile = 1.60 km
45 miles = 1.60*45
= 72 km.
Therefore, 45miles is equal to 72 km.
Hope it helps....
Use a calculator to find the trigonometric value to
4 decimal places.
tan 31°
=
Answer:
Approximately 0.6009
The value of tan 31 is 0.6008606.
What is Trigonometry?
The branch of mathematics concerned with specific functions of angles and their application to calculations.
As, the angle 31° lies between 0° and 90° (First quad).
So, tangent function is positive in the first quadrant.
Tan 31 degrees= tan (0.54105 . . .) in radians.
As, using degree to radian conversion,
θ(radians) = θ in degrees × (π/180°)
31 degrees = 31° × (π/180°) rad
= 0.5410
So, tan 31°
= tan(0.5410)
= 0.6008606.
Hence, tan 31= 0.6008606.
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does anyone know the answer
(s/3) -4=2
Answer: 18
Step-by-step explanation:
Answer:
s=18
Step-by-step explanation:
Solve for s by simplifying both sides of the equation, then isolating the variable.
Brainly pls :)
Helppppppppppppppppppppp due in 2hrs
plz watch for more questions
the 2nd pic has the 2 options plz have an explanation
Answer:
B. 20 = 2g
Step-by-step explanation:
What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.
Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.
Find the value of x in the following figure ( Please hurry)
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think