A five-speed bicycle has a chain linking the pedal sprocket to the gears on the rear wheel. The ratio of pedal turns to rear-wheel turns in first gear is 8 to 17. How many times in first gear does the rear wheel turn if the pedals turn 160 times?
9514 1404 393
Answer:
340
Step-by-step explanation:
Multiply each number in the ratio by 20:
pedal : wheel = 8 : 17 = 160 : 340
The rear wheel turns 340 times when the pedal turns 160 times.
__
Additional comment
As a reasonableness check, realize that 17 is just slightly more than 2 times 8. Then the number of rear wheel turns will be slightly more than 2 times 160.
A coin is tossed 12 times. What is the probability of obtaining five heads and seven tails?
Answer:
99/512 = 0.193359375
Step-by-step explanation:
Each sequence of 5 H's and 7 T's has probability of occurring equal to 1/2^12 (1 divided by 2 to the twelfth power).
Since the number of 5 H, 7 T sequences is equal to C(12,5) = the number of combinations of 12 things taken 5 at a time =
12 * 11 * 10 * 9 * 5 / (5 * 4 * 3 * 2 * 1) =
792,
we have that the probability of obtaining 5 H's and 7 T's =
the sum of the probabilities of all of the sequences =
1/2^12 + 1/2^12 + 1/2^12 + . . . + 1/2^12, 792 times =
792(1/2^12) =
99 / 2^9 =
99 /512 =
0.193359375
Three different sizes of sports-drinks mix are shown with their prices. Can the relationship between price and volume (in grams) be described by a constant rate? Explain
Answer:
No; the unit rate of price ($) per volume (g) is not equal for all the sizes.
Step-by-step explanation:
help please, what is the ANSWER?
Answer:
y
0
-1/2
-1
-3/2
-2
Step-by-step explanation:
y=(-1/2) *(-2)- 1 =(-) (-) (1*2)/2-1= 2/2-1 = 1-1 =0
Question 7. Every day, Omar put the extra change from his pockets into a glass jar. After 30 weeks, he
3
had saved up $16.00. Omar decided to use of the money from the jar to buy canned food for a
homeless shelter. How much money did Omar spend on canned food?
Answer:
$16
Step-by-step explanation:
He had $16 so he had spent all of it due to the question asked.
-0.8654 divided by (-0.24)
Answer:
3.60583333
Step-by-step explanation:
When we divide -0.8654 with -0.24 it quotient is
3.60583333
Find the area of a raised vegetable bed having a length of 2 yd and a width of
7/10
yd.
Answer:
1.4 or 1 2/5
Step-by-step explanation:
The ratio of red poms to yellow poms on a float is 5 to 7. If there are 392 yellow poms, on the float, how many red poms are there?
A. 549
B. 390
C. 280
D. 56
Answer:
C. 280 Red Poems
Step-by-step explanation:
5 : 7= x : 392
5/7 = x/392
x = 5*392/7
x = 5 * 56
x = 280 red poems
freè pôints
for you you you etc.
Answer:
askfjheifljblgjsljclakjksfjkljvkldskmjfmvalkgjbjdfkblrgjlskgskjd
Step-by-step explanation:
levjnlakqdhlwjfidfkjblksmnewkfdilbkmcjjeoibjkdl
help ASAP each runner in a 4 4/5 mile race runs 4/5 of a mile find the number o runners on a relay team
Answer:
The Answer to your question would be 6 total runners on your relay team
Which number line shows the solution to −4 − (−1)?
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from
Answer:
B a number line is shown from negative 5 to 0 to positive 5.
what is the LCD of 9/10 and 3/5
Answer: 10
Step-by-step explanation:
9/10 = 9/10
3/5 = 6/10
Least common denominator right?
Answer the question in the pic pls
If a cat went 600 miles how many feet did it take to get home?
Answer:
3168000 feet
Step-by-step explanation:
1 mile = 5280 ft
Can someone explain to me on how you do this because the answer that I got was 15/17 but then I re read it again and it says to find the VALUE of the PRODUCT so I don’t really understand it. Please show work too
Answer:
[tex] \frac{3}{15 } [/tex]
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which less expensive per pound? How much less expensive?
Answer:
apricots is less expensive by $2.24
Step-by-step explanation:
21.98÷2=10.99
26.25÷3=8.75
10.99-8.75=2.24
Which expression is the factored form of−1.5w+7.5?
−1.5(w+5)
1.5(w−5)
1.5(5+w)
−1.5(w−5)
9514 1404 393
Answer:
(d) −1.5(w−5)
Step-by-step explanation:
The signs of the two terms are different. That will still be true of the factored form. If you factor out a minus sign, then the constant in parentheses becomes negative.
-1.5w +7.5 = -1.5(w -5)
Answer:
4. -1.5(w-5)Step-by-step explanation:
[tex] - 1.5w + 7.5 \\ - 1.5(w - 5) \\ [/tex]
A cheetah went 108 miles moving 27 miles per hour. How many hours did the journey take? Show your answer as a decimal. Round to the nearest hundredth
Answer:
4
Step-by-step explanation:
108/27 = 4
Multiply. [−8⋅4/11]⋅[(−0.1)⋅22] What is the product? Enter your answer in the box.
Answer:
6.4Step-by-step explanation:
[ -8 * 4 / 11] * [(-0.1) * 22] = (-32/11) * (-22/10) = 32*2/10 = 64/10 = 6.4Answer:
it's was helpful to you...
1. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full credit. (Show how you went from those two points to having the equation in point-slope form?) Circle your answer (4 points)
At the calendar shop, wall calendars cost $7 and desk calendars cost $8. Dylan spent $183 to
buy 24 calendars. How many of each type of calendar did Dylan buy?
Answer:
12 wall and 12 desk calendars
Step-by-step explanation:
24 divide by 2
Baking a loaf of banana bread takes 2 cups of flour and 1 cup of sugar. A loaf of
pumpkin bread takes 3 cups of flour and 2 cups of sugar. A baker has 30 cups of flour
and 16 cups of sugar to use. She makes $2.50 profit per loaf of banana bread and
$4.00 profit per loaf of pumpkin bread. How many loaves of each type of bread should
the baker make to maximize her profit?
Answer:
I assume it would be 15 loves of banana bread.
Step-by-step explanation:
if you do 8 loves of pumpkin bread, you get $24 profit.
If you do 15 loves of banana bread, you get $37.50 in profit.
To maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.
What is linear inequality?" Linear inequalities are defined as algebraic expression which are related with the sign of inequality."
According to the question,
'x' represents the number of loaves of banana bread
'y' represents the number of loaves of pumpkin bread
As per the given condition,
Total profit on making bread [tex]'P' = 2.50x + 4.00y[/tex] ____(1)
Linear inequalities are
[tex]2x + 3y\leq 30\\\\x+ 2y \leq 16[/tex]
By solving linear inequalities we get,
[tex]x= 12\\ \\y =2[/tex]
As shown in the diagram drawn , point of intersection is (12,2) for the given inequality.
Substitute the value of 'x' and 'y' in (1) to get the maximize profit ,
Maximize profit ' P' [tex]= 2.50(12) + 4 (2)[/tex]
[tex]= 30 + 8\\= \$38[/tex]
Hence, to maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.
Learn more about profit here
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The graph below is the function f(x)
Find lim x -> -1- f(x)=
As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.
As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.
The one-sided limits do not match, so the two-sided limit does not exist.
But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1.
We have found all the given limits for all the function.
What is limit of a function?
The limit of a function is a key notion in calculus and analysis that describes how the function behaves near a certain input.
How can we find limits for function?As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.The one-sided limits do not match, so the two-sided limit does not exist.But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1Learn more about the limit of a function at
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589,203 in expanded notation
Standard Form: 589,203
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form: 589,203
= 500,000 + 80,000 + 9,000 + 200 + 0 + 3
Expanded Factors Form: 589,203
= 5 × 100,000 + 8 × 10,000 + 9 × 1,000 + 2 × 100 + 0 × 10 + 3 × 1
Expanded Exponential Form: 589,203
5 × 105 + 8 × 104 + 9 × 103 + 2 × 102 + 0 × 101 + 3 × 100
Sorry if i was not helpful hope this helps !
10 times as many as 1 hundred is?
10 times as many as one hundred means that you are going to repeat 100 for 10 times. In other words, multiply 100 by 10.
So 10 times as many as 100 = 10 x 100 = 1000
This is the thousands blank.
Answer:
Step-by-step explanation:
1000, I'm pretty sure you're just multiplying
Find an ordered pair (x, y) that is a solution to the equation.
2x+y=1
Find the sum of 31 + 32 +33 + ... + 230.
Answer:
134
Step-by-step explanation:
A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet per second from an initial height of 95 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation:
h = - 16t² + 151t +95
Answer:
Step-by-step explanation:
144 = -16t² + 151t + 95
0 = -16t² + 151t - 49
quadratic formula
t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))
t = (-151 ± 140.23195) / -32
t = 0.34 s
t = 9.10 s
Hey can anyone help with this question please and thank you
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
s - 4
s + 3
s - 1