6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
A. 80 hours
B. 900 hours
C. about 1.78 hours
D. 2.25 hours
Answer:
C. about 1.78 hours
Step-by-step explanation:
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
...............................................................................................................................................
Answer: about 1.78 hours
...............................................................................................................................................
t = k/r
2 = k/67
k = 134 (which happens to be the distance)
t = 134/r
t = 134/55
t = 2.436 hours
...............................................................................................................................................
The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours
...............................................................................................................................................
t = k/r\
4 hours and 35 miles per hour,
we find that k = 140.
Now use that 140 in another equation to solve for t:
t = 140/45, and
t = 3.1 hours
Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?
what is 15/9 equivalent to
Answer:
1 6/9 or 1 2/3
Step-by-step explanation:
Answer: A lot of fractions
Step-by-step explanation:
Some Examples: 5/3, 10/6, 20/12
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
D.) the amount in the account increase by 4% each year
Step-by-step explanation:
Compound interest formula: P*(1+r/n)^(nt)
P=initial principal balance
r=interest rate
n=times applied per [time (eg year)]
t=number of time periods gone by
The expression: 2500(1.04)^x
The expression: 2500(1+1/25)^(nt)
1.04=1+1/25=increases by 4% each year
A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?
Answer:
13.9
Step-by-step explanation:
13.85 feet far up the side of the house will the ladder reach now.
Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.
What is heights and distances in trigonometry?In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.
Let the distance between base of house to foot of the ladder be x.
Using Pythagoras theorem 26²=24²+x²
⇒ 676 = 576 + x²
⇒ x² = 100
⇒ x =10 feet
Mila grabs the ladder at its base and pulls it 12 feet farther from the house.
Now, the distance between base of house to foot of the ladder = x+12
= 10+12 = 22 feet.
So, up the side of the house the ladder reach = 24-h
Then, 26² = (24-h)²+22²
⇒ 676 = (24-h)²+484
⇒ (24-h)² = 192
⇒ (24-h) = √192
⇒ (24-h) = 13.85
⇒ h = 24-13.85
⇒ h = 10.15 feet
Therefore, 13.85 feet far up the side of the house will the ladder reach now.
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Based on the statment, below which statement could be used to prove <1=<2?
vertical angles are congruent
supplementary angles are congruent
complementary angles are congruent
two angles that form a linear pair are congruent
Answer:
Vertical angles are congruent
What is the median? 4,5,6,2,2,6,7,8,6
Answer:
2
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Sawyer used $10.25 to buy a new journal. He has $39.75 left in his savings account. How much money did Sawyer have before he bought the journal
Answer:
Sawyer had $50 in his account before his purchase.
Step-by-step explanation:
$10.25 + $39.75 = $50
So he had $50 before he bought the journal
Hope this helps! good luck :)
Which graph represents the inequality
X > 15?
this one because x has to be bigger than 15.
The graph with inequality x>15 is (B)
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
x>15
As, x is greater than 15.
So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.
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What is the value of y when x = 0?
Answer:
0
Step-by-step explanation:
I am not sure you included the full question, but if it is a multiplication problem, the answer is 0.
A textbook store sold a combined total of 447 sociology and psychology textbooks in a week. The number of psychology textbooks sold were 43 less than the number of sociology textbooks sold. How many textbooks of each type were sold
Answer:
404
Step-by-step explanation:
please help me solve this problem |4|+|-5|=
Answer:
-1
Step-by-step explanation:
Triangle ABC with vertices A(-3, 4), B(0, 2),
and C(-2, 1) is translated 4 units right and 5
units down. Which quadrant is the image?
A(-3, -1)
B(0, -7)
C(-2, -4)
Therefore, the image is in the III quadrant (bottom left).
Solve the equation.
-2/3 (x + 3/5) = 1/2
x=
Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for TT.
4.9 ft.
7 8 ft
A. 38.2 ft2
B. 75.4 ft2
C. 286.2 ft?
D. 390.8 ft2
3⋅2^x/5=150 Which of the following is the solution of the equation?
Answer:
x=7.965784
Step-by-step explanation:
Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps
Answer:
I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9
Answer:
The length is 5 inches and the width is 4 inches
Step-by-step explanation:
Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36
Builders scaled image = (45 / 9) by (36 /9) = 5 by 4
The table compares the sample characteristics of four countries. Based on the sample characteristics shown in the table, which country MOST LIKELY has the largest percentage of white-collar workers?
Ο Japan
Ο Hong Kong
Ο Taiwan
Ο Singapore
Answer:
Singapore
Step-by-step explanation:
I did japan and I got it wrong and it told me the right one was Singapore.
Hope this helps!
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FROM: AUG1E
What is the ratio for sin A?
3/4
3/5
4/5
4/3
Three friends compare the balances in their checking accounts.
The balance in Al's account is $32.60.The balance in Dee's account is 34
the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.
What is the balance in Zac's account?
A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?
Answer:
6
Step-by-step explanation:
I believe if you fallow the mathematical process of d=m/v you will get 6
The height of the block of the sugar maple from the rectangular prism is 6 cm.
What is the volume of a rectangular prism?The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:
V = length × width × height
From the parameters given:
mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³[tex]\mathbf{Desity = \dfrac{mass}{volume}}[/tex]
[tex]\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}[/tex]
volume = 120 cm³
Using the previous equation for calculating the volume of a rectangular prism, we have:
120 cm³ = 5 cm × 4 cm × height
120 cm³ = 20 cm² × height
height = 120 cm³/20 cm²
height = 6 cm
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-0.85 - (-¼) + 0.4 + (-⅖) ?
what is the value of this expression?
Answer:
-0.6
Step-by-step explanation:
-0.85-(-1/4)+0.4+(-2/5)
=-0.85+0.25+0.4-0.4
=-0.6
please help me out :))
Answer:
144
Step-by-step explanation:
It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.
144
I would like help on this math problem please!
Answer:
4^11
Step-by-step explanation:
[(4^3)(4^4)]÷(4^1+4^-4)
using laws of indices
(4^3)(4^4)=4^(3+4)
=4^7
(4^1 +4^-4)=4^(1-4)
=4^-3
4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal
4^7/4^-3=4^(7-(-3)
=4^(7+3)
=4^11
Could anyone pls give the ans of 8th pls?
Answer:
-5/9
Step-by-step explanation:
[tex]\frac{5}{9}[/tex] + ____ = 0
subtract [tex]\frac{5}{9}[/tex] from both sides of the equation
-[tex]\frac{5}{9}[/tex] -[tex]\frac{5}{9}[/tex]
leaving you with
____ = - [tex]\frac{5}{9}[/tex]
What is the area of the polygon? Show your work!
Answer:
6+6=12 cm
4+4=8 cm
6+6= 12 cm
Add all together and it equals 32
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
I LOVE DOING THESE
4x6=24
24x0.5=12
12x4=48
4x4=16
48+16=64
A clothing manufacturer offers 2 different styles of jeans, relaxed fit and regular fit, in 5 different colours. How many combinations of a style and a colour are possible?
Answer:
10 combinations
Step-by-step explanation:
We can solve the above question using the Fundamental Counting Principle.
This states that:
If an event has x possible outcomes and a other event has y possible outcomes, then there are x and y total possible outcomes for the two events together.
We are told in the above question that:
Styles of jeans = 2
Number of colors = 5
Hence,the number of combinations of a style and a colour that are possible is calculated as:
5 × 2 = 10 combinations
Fill in the table using this function rule.
y=5x-1
The table values with the function y = 5x - 1.
x y
-1 -6
0 -1
1 4
2 9
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 5x - 1
For x = -1,
y = -5 - 1 = -6
For x = 0,
y = - 1
For x = 1,
y = 5 - 1 = 4
For x = 2,
y = 10 - 1 = 9
Thus,
The table values are given above.
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What is the value of X?
Answer:
56
Step-by-step explanation:
You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.
56 because the 3 angles have to add up to 180. Please mark as brainliest. :)