Answer:
a=3
Step-by-step explanation:
The formula for direct proportion is
f = ka
Let f= 42 and a = 7
42 = k*7
Divide each side by 7
42/7 = k7/7
6 =k
f = 6a
Let f = 18
18 = 6a
Divide each side by 6
18/6 = 6a/6
3 =a
Answer:
a = 3
Step-by-step explanation:
Given that F is directly proportional to a, then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 42 when a = 7, thus
42 = 7k ( divide both sides by 7 )
6 = k
F = 6a ← equation of proportion
When F = 18, then
18 = 6a ( divide both sides by 6 )
3 = a
There are 40 people in a room. The ration of men to women is 2:3. If 5 more men enter the room, what will the new ratio be?
Answer:
16:29
Step-by-step explanation:
2u+3u=5u
40/5=8
Each unit represents 8 people
Hence, number of women:
8 x 2= 16
Number of men:
8 x 3 =24
New number of men:
24 + 5 = 29
New ratio:
16:29
Answer:
7 : 8 (men to women)
Step-by-step explanation:
Ratio = 2 : 3 (men to women)
40 people in all
40 / 5 = 8
2 x 8 = 16 (men)
3 x 8 = 24 (women)
16 + 5 = 21
21 : 24
7 : 8
Hope this helps!
(Let me know if I got something wrong!)
bob made 41/4 pounds of fruit salad he added 10 ounces of pineapple how many 6 ounce servings did bob make
A car leaving a stop sign accelerates constantly from a speed of 0 feet per second to reach a speed of 44 feet per second. The distance of the car from the stop sign, d, in feet, at time t, in seconds, can be found using the equation d=1.1t2.
What is the average speed of the car, in feet per second, between t=2 and t=5?
5.5
6.6
7.7
8.5
Answer:
7.7
Step-by-step explanation:
Answer:
7:7
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
(9, -8)
step-by-step explanation:
original coordinates of B: (-9, -8)if reflected over y-axis, use the formula: (x, y) → (-x, y)
new coordinates: (-(-9), -8) → (9, -8)The temperature in a room at midnight is 20 degrees Celsius. Over the next 24 hours, the temperature changes at a rate modeled by the differentiable function H, where H(t) is measured in degrees Celsius per hour and time t is measured in hours since midnight. Which of the following is the best interpretation of 0 6 H(t) dt?
(A) The temperature of the room, in degrees Celsius, at 6:00 A.M.
(B) The average temperature of the room, in degrees Celsius, between midnight and 6:00 A.M.
(C) The change in the temperature of the room, in degrees Celsius, between midnight and 6
(D) The rate at which the temperature in the room is changing, in degrees Celsius per hour, at 6:00 A.M.
It will represent the change in temperature between midnight and 6, the correct option is C.
Which is the best interpretation of ∫H(t)*dt?
H(t) is the rate at which the temperature changes. So, if we integrate H(t), we will get the change of temperature.
In this case, we have:
[tex]\int\limits^6_0 {H(t)} \, dt[/tex]
This will give the change in temperature between 6:00 AM (represented by the 6) and midnight (represented with the 0).
So the correct option is C.
If you want to learn more about integration, you can read:
https://brainly.com/question/18760518
Find the circumference of the object. Use 3.14 or
22/7 for . Round to the nearest hundredth if necessary.
Answer:
C = 3.14 ft
Step-by-step explanation:
C = 2πr
Step 1: Define
r = 0.5 ft
Step 2: Substitute and Evaluate
C = 2π(0.5 ft)
C = 1π ft
C = π ft
C = 3.14 ft
Answer:
3.14
Step-by-step explanation:
Luke tried to use Cavalieri's principle to show that the two figures have the same volume. The base areas are the same. Therefore, corresponding cross-sections have the same area. The prisms have the same height. So the volumes must be the same. What is the first mistake Luke made?
The error Luke made when trying to use Cavalieri's principle to show that the two figrues have the same volume is stating that: "corresponding cross-sections have the same area" which is NOT TRUE.
What is the Cavalieri's Principle?The Cavalieri's principle was named after Bonaventura Cavalieri. The Cavalieri's principle states the volume of two figures are the same if they have the same height and teh same cross-sectional area at every point along the height.
Thus, the two figures have entirely different cross-sectons. Their areas would be diffrent.
Therefore, the error Luke made when trying to use Cavalieri's principle to show that the two figrues have the same volume is stating that: "corresponding cross-sections have the same area" which is NOT TRUE.
Learn more about Cavalieri's principle on:
https://brainly.com/question/2279671
Answer:
the height
Step-by-step explanation:
Answer from cadencewest69. thanks cadencewest69!!! :)
2) Tom left the water hose running for 20 minutes to water his lawn. Did he most
likely use 175 cups or 175 gallons of water?
Answer:
175 gallons
Step-by-step explanation:
easy hoses pump a lot of water
Answer:
i dont know i need the answer as well
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer: 20.4
Step-by-step explanation:
The length of a rectangle is shown below: If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle? A. C(2, −2), D(−1, −2)
B. C(2, −1), D(−1, −1)
C. C(−2, 2), D(−2, −1)
D. C(−1, 2), D(−1, −1)
Answer:
A.
Step-by-step explanation:
Check out the image, hope it helps!
solve the equation using the quadratic formula. 3x^2+7x-20=0
Answer:
Step-by-step explanation:
a = co-efficient of x² = 3
b = co-efficient of x = 7
c = constant = -20
Determinant = D = b² -4ac
= 7² - 4*3*(-20)
= 49 + 240
= 289
[tex]x =\dfrac{-b + \sqrt{D}}{2a} ; \ x =\dfrac{-b- \sqrt{D}}{2a}\\\\\\x=\dfrac{-7+\sqrt{289}}{2*3} ; \ x=\dfrac{-3-\sqrt{289}}{2*30}\\\\\\x=\dfrac{-7+17}{6} ; \ x=\dfrac{-7-17}{6}\\\\x=\dfrac{10}{6}; \ x=\dfrac{-24}{6}\\[/tex]
x = 5/3 ; x = -4
A business has $10,000 in its bank account. In order to build an addition onto its office, it takes out a loan for $30,000 and deposits that money into the bank account. A number line is shown. The number line goes from zero dollars to forty thousand dollars by intervals of five thousand. A point is plotted at ten thousand dollars. What is the new account balance?
Answer:
The new account balance is $40000
Step-by-step explanation:
The number line is not given. However, the question can be solved without it.
Given
[tex]Balance = \$10000[/tex]
[tex]Loan = \$30000[/tex]
Required
Determine the new balance
[tex]New\ Balance = Initial\ Balance + Loan\ Amount[/tex]
[tex]New\ Balance = \$10000 + \$30000[/tex]
[tex]New\ Balance = \$40000[/tex]
Hence:
The new account balance is $40000
A 3.45
B 43.3
C 50
D 61.2
Answer: B
Step-by-step explanation:
Which line plot correctly shows the difference between the greatest and least practice times as three fourths hours? (1 point)
A line plot titled 'Piano Practice Times.' The bottom label is time in hours. The numbers on the line are zero, one fourth, one half, three fourths, one, one and one fourth, one and a half, one and three fourths, and two. There are two xs above three fourths, one x above one, three xs above one and a fourth, and one x above one and a half.
A line plot titled 'Piano Practice Times.' The bottom label is time in hours. The numbers on the line are zero, one fourth, one half, three fourths, one, one and one fourth, one and a half, one and three fourths, and two. There is one x above one half, two xs above three fourths, one x above one, two xs above one and one fourth, and one x above one and three fourths.
A line plot titled 'Piano Practice Times'. The bottom label is time in hours. The numbers on the line are zero, one fourth, one half, three fourths, one, one and one fourth, one and a half, one and three fourths, and two. There is one x above one half, one x above three fourths, two xs above one, one x above one and one fourth, one x above one and three fourths, and one x above two.
A line plot titled 'Piano Practice Times.' The bottom label is time in hours. The numbers on the line are zero, one fourth, one half, three fourths, one, one and one fourth, one and a half, one and three fourths, and two. There is one x above one fourth, one x above one half, one x above three fourths, one x above one, two xs above one and one fourth, and one x above two.
The line plot that shows the difference between the greatest and least practice times is D. A line plot titled 'Piano Practice Times.' The bottom label is time in hours.
What is a line plot?A line plot is a type of chart that displays information as a series of data points connected by straight line segments.
Here, the line plot that correctly shows the difference between the greatest and least practice times as three fourths hours is when the numbers on the line are zero, one fourth, one half, three fourths, one, one and one fourth, one and a half, one and three fourths, and two.
Learn more about line plot on:
https://brainly.com/question/15207273
A premedical student at a university was complaining that she had just paid $158. 60 for her human anatomy book, including tax. Find the price of the book before taxes if the university tax rate is 9%
Answer:
145.50
Step-by-step explanation:
158.60 / (1+.09)
158.60 / 1.09 = 145.50458 (Approximately, I assume you have to round. I included extra digits incase they want more.)
HELPP PLEASE FOR BRZINLEST!!!
The leg lengths of a right triangle are 4 cm and 6 cm. What is the length of the missing side?
Answer:
Step-by-step explanation:
determine if 2, 8 ,14 ,20 is an arithmetic sequence. If so find the common difference and the next three terms.
Answer:
D=8-2=6,14-8=6,20-14=6 ARE IN AP
Step-by-step explanation:
26,32,38
What is the surface area of the square pyramid represented by the net?
Answer: 144m
Step-by-step explanation:
6x6=36
(9 x 3) x 1/2 = 13.5
13.5 x 8(bc there are 8 triangles) = 108
108 + 36 = 144
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
plzzzzzzzzzzzz help will get brainlist
When a construction worker is on a platform 10 feet above the ground, we can describe her elevation as +10 feet.
A construction worker digs down to 30 feet below the platform. What is her elevation?
It is 30 feet BELOW the platform, so the number is -20 because the platform is 10 feet above ground level.
Her elevation is - 20 because she is 10 feet above ground level, which is 10, and she digs 30 feet down so 10 - 30 is -20.
Hope this helps. :)
Answer:
-20 feet
Step-by-step explanation:
Ok, if the construction worker is first at 10 feet above the ground. If the construction worker goes 30 feet below the platform, the equation can be this: 10 - 30 = e or elevation. Remember that it states that the construction worker digs 30 feet below the platform, and not below the ground. Because 10 - 30 is -20, we know that the construction worker's elevation is -20.
I hope this helps :)
Asap! I’ll mark you brainlest
What does How many kilometers did Jon run?
Add
Subtract
Divide
Multiply
Determine the gcf of each set of monomials
35,30a
Answer:
The GCF of 35 and 30a, will be 5.
Step-by-step explanation:
5 is the greatest number that can be factored into 35 and 30a.
on another training ride,Jana bikes 15 miles in 50 mins.Explain how you could find the number of miles she bikes in 1 hour
Answer:
18 miles
Step-by-step explanation:
Okay first I divided 15 and 50 by 5 this gives me miles for every 10 minutes this gave me 3 miles for every 10 minutes. Then I multiplied this by 6 because there are 60 minutes in an hour and got 18
HELP ASAP!! BRAINLIEST!!
Answer:
i) 2.3× 10⁻¹²
ii)2.3× 10¹⁰
iii)2.3× 10¹³
iv)2.3× 10⁻¹¹
Step-by-step explanation:
The degree and power depends on the position of the decimal. The degree of 10 is negative when the decimal is before 23 and is positive when it's after 23.
The equation of the line that passes through points (0, negative 7) and (2, negative 1) is shown below. What value is missing from the equation?
y = x – 7
Answer:
answer is y= -3x-7
Step-by-step explanation:
Answer:
3x-7
Step-by-step explanation:
Help me to answer this.
Answer:
A
Step-by-step explanation:
Mr. Robert is a real estate agent, he earns 5% commission of his total sales. If he sold a property for $135,000. How much commission did he receive?
Answer:
ok if I did this right the answer should be 675. sorry if it's wrong. I hope it's right.
Identify the percent increase in total sales and the percent increase in sales of trench coats. then find which percent of increase is greater and by how much greater it is than the other. (round your answer to the nearest tenth.) a. sales of trench coats increased 0.7 percentage points faster than total coat sales. b. sales of trench coats increased 8.3 percentage points faster than total coat sales. c. total coat sales increased 2.5 percentage points faster than sales of trench coats. d. total coat sales increased 10.7 percentage points faster than sales of trench coats.
Answer:
0.7×8.3×2.5÷100×10.7
Step-by-step explanation:
0.7×8.3 =
10.7×2.5
all divided by 100
Answer:
it's B. 8.3
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 3.2 in and a base with a
diameter of 5.8 in. Round your answer to the nearest tenth of a cubic inch
Answer:
28.18, rounding it, it would be 28.2 cubic inches
Step-by-step explanation:
V=Pir^2(h/3)
The city of newport is expecting a budget deficit this year of $257,943, which is 30% less than last year. what was last year's deficit?
last year deficit x 0,70 = 257,943
so
last year deficit = 368,490
- 30% = x (1 - 30%) = x 0,70