Answer:
The number of jumps that the game piece took, was 40.
Step-by-step explanation:
Every jump a game piece makes measures [tex]\frac{8}{9} = 0.889[/tex].
Now, the piece starts at point A = 7 and jumps to the right.
So, the number of jumps required by the piece to jump over B = 24 will be
[tex]\frac{24 - 7}{0.889} = 19.122[/tex] jumps ≈ 20 jumps {As the piece crosses the point B}
Now, as soon as the piece jumps over B = 24, it switches direction and jumps to the left. And the piece then stops at point A.
Therefore, the number of jumps that the game piece took, was (20 × 2) = 40. (Answer)
Final answer:
Calculating the jumps based on the jump size of 8 / 9 units, the piece makes 20 jumps to go from point A past point B, and then 23 jumps to return to point A, for a total of 43 jumps.
Explanation:
To solve the question, we must calculate the total number of jumps the game piece takes from the starting point A at 7, over point B at 24, and back to A. Each jump measures 8 / 9 units. To calculate the number of jumps to reach just past point B (24 units), we can set up a division problem to find the number of jumps it would take to first reach or pass 24 starting from 7. The formula for this is (B - A) / jump size.
So, the calculation for jumps to point B is: (24 - 7) / 8 / 9 = 17 × 9 / 8 = 153 / 8 = 19.125. Since the game piece cannot make a partial jump, we must round up to 20 jumps to reach beyond 24 units.
After the piece switches direction, we perform a similar calculation to find how many jumps it takes to go back to point A (7 units).
Here, since the piece is already beyond 24, it only needs to jump back to the next integer value before 7 which is 6.
Now, the game piece is at (20 × 8 / 9) + 7 = approximately 24.222 + 7 = approximately 31.222 units along the path.
To calculate the jumps back to 6, we have (31.222 - 6) / 8 / 9 which is approximately 22.556 jumps, and rounding up gives us 23.
Therefore, the total number of jumps made is the sum of the jumps to point B and back to point A,
which is 20 + 23 = 43 jumps.
Given a function described as equation y=3x+4, what is y when x is 1,2 and 3?
Answer:
x=1 y= 7
x=2 y= 10
x=3 y= 13
Step-by-step explanation:
y=3x+4
y=3(1)+4
=7
y=3(2)+4
=-10
y=3(3)+4
=13
For this case we have the following equation:
[tex]y = 3x + 4[/tex]
We must find the value of the variable y when the variable x takes certain values.
For [tex]x = 1:[/tex]
[tex]y = 3 (1) +4\\y = 3 + 4\\y = 7[/tex]
For [tex]x = 2:[/tex]
[tex]y = 3 (2) +4\\y = 6 + 4\\y = 10[/tex]
For [tex]x = 3:[/tex]
[tex]y = 3 (3) +4\\y = 9 + 4\\y = 13[/tex]
Thus, the values of y are 7,10,13 respectively.
Answer:
[tex]y = 7\\y = 10\\y = 13[/tex]
the length of a rectangle is 3 yards more than twice the width x the area is 629 yd.²
Answer:
The length is 37yd
The width is 17yd
Step-by-step explanation: please see attachment for explanation
a jet travels 520 miles in 5 hours at this rate how far could the jet fly in 11 hours what is the rate of speed of the jet
The rate of speed of jet is 104 miles per hour
The jet could cover 1144 miles in 11 hours
Solution:Given that,
A jet travels 520 miles in 5 hours
Find the miles traveled in 1 hour ( speed in miles per hour)[tex]speed = \frac{distance}{time}[/tex]
[tex]Speed = \frac{520}{5}\\\\Speed = 104\ miles\ per\ hour[/tex]
How far could the jet fly in 11 hoursTime = 11 hours
Speed = 104 miles per hour
[tex]Distance = speed \times time\\\\Distance = 104 \times 11\\\\Distance = 1144[/tex]
Thus the jet could cover 1144 miles in 11 hours
Claire is buying a new bicycle for $295. If the
sales tax is 4.75%, what will she pay in total?
Answer:
$309.01
Step-by-step explanation:
To calculate tax, you need to turn the percent to a decimal. This is done by moving the decimal point two spaces to the left, adding zeros and needed.
4.75% = 0.0475
Now take the price of the bike, 295, and multiply it by 0.0475.
295 x 0.0475 = 14.0125
All you need are the first two numbers after the decimal point since you are dealing with money.
Add the product, 14.01, to the price of the bike, 295, and you have your answer.
$309.01
Hope this helps.
Answer:
309.01
Step-by-step explanation:
Kroger has 12 ounces of orange juice for $1.95 and Food Lion has 18 ounces for $2.10. Which store has the better but. Round to nearest hundredth place.
Answer: the one that sells 12 ounces for 1.95
Step-by-step explanation:
A: 1.95÷12=0.1625
B: 2.10÷18=0.1166666667
A gets more money.
Hope this helps ca.you tell me if it does and can you give me brainliest plzzz???
there were 15 questions of which nicole answered 8 incorrectly at this rate how many should she expect to answer correctly if she answers a total of 135 questions
Answer:
72 Wrong, so find how many are right with 135 total
Step-by-step explanation:
It's similar to saying if she answered half and this continued how many would she have answered after answering a bigger number, you would say half.
so she answered 8/15 incorrectly a a smaller number, so she will answer that ratio with a bigger number. If it helps 8/15 is about 53%. just like 1/2 is half. So to find half you would multiply something by 1/2 and int he same way you multiply something by 8/15 to get that proportion of it.
so 135, if you take this 53%, or simply multiply it by 8/15 you get your answer of 72. So 72 wrong so al others are right, which you get with 135-72 = 63.
You could also do 135*(1-8/15) = 135 * 7/15. if you ever want to find something NOT part of the proportion you do 1 - that proportion.
Denzel does not want to lock up his money in Investments that have a long maturity period, nor does he like to take big risks. So, he'd like to see
some moderate return on his investments in a year. He also has more faith in Investments issued by the government than those issued by
private companies. Which investment would be a good choice for Denzel?
A commodity stocks
B. retirement accounts
ec short-term bonds
D. US Treasury bonds
Answer:Its D, just took the test.
Step-by-step explanation:
The US Treasury Bonds is the best choice for Denzel's investment based on his preference for moderate risk, trust in government-issued investments, and a desire for a return within a year.
Explanation:Based on Denzel's investment preferences, the ideal choice for him would likely be D. US Treasury bonds. US Treasury bonds are direct obligations of the federal government, making them quite secure because they carry the full faith and credit of the U.S. government. Also, given that these bonds often provide moderate returns and can be purchased with various maturity dates (including one-year bonds), they line up with Denzel's desire to see a return on his investment in a year and his reluctance to lock his money up for long periods without realizing gains.
It's worth noting that, while the other options listed might also be suitable investments for different scenarios, they do not align as well with Denzel's specific risk tolerance, investment timeline, and trust in government-issued investments.
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The length of a rectangle is 6 inches more than the width. The perimeter is 40 inches. Find the length and the width of the rectangle
Answer:
lenght = 13 inches
width = 7 inches
Step-by-step explanation:
p= 2(l+b)
let lenght be x
width be y
so x=y+6
40 = 2(y+6 + y)
40= 2( 2y+6 )
20= 2y +6
2y = 20-6
2y=14
y=7
x=7+6=13
so lenght is 13 inches
width is 7 inches
The problem is about finding the length and width of a rectangle given its perimeter and their relationship. Solve it by forming an equation from the given information and solving for 'x'. The resulting dimensions are a width of 7 inches and length of 13 inches.
Explanation:The question given is a problem in algebra and pertains to the dimension of a rectangle. To solve it, let's assume the width of the rectangle to be 'x'. As per the information given, the length can be written as 'x+6'. The formula for the perimeter of a rectangle is 2*(Length + Width).
In this problem, we have perimeter = 40 inches. By substituting the values of length and width into the formula, we get: 2*(x + (x+6)) = 40.
By simplifying, you find that 2*(2x+6) = 40, which reduces to 4x+12 = 40. If you subtract 12 from each side, you get: 4x = 28. Finally, dividing each side by 4 you find the width 'x' equals 7.
Substituting x=7 in length equation: length = 7+6 = 13. So, the dimensions of the rectangle are width = 7 inches, and length = 13 inches.
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A box of chocolate has 45 pieces. 9 pieces have nuts in them, what percent of the candy is without nuts?
Answer:
80% of the candies are without nuts.
9/45 = 0.2
0.2 = 20%
The remainder is 80%
Find slope-intercept of a line going through (-5,-5) with the slope 2/5
Answer:
y=2/5x-3
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=2/5(x-(-5))
y+5=2/5(x+5)
y=2/5x+2-5
y=2/5x-3
If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?
Answer:
1:10 pm
Step-by-step explanation:
60 minutes in an hour, so
8:50am + 4 hours = 12:50pm
12:50pm + 20 minutes = 1:10pm
Dave drove 55 mph for part of the trip and 60mph for the rest. The 245 mile trip took him 4 hours 12 minutes. How long did the 2nd part of the trip take? How far did he drive during the 2nd part of his trip?
Answer:
Dave drove 168 miles during the 2nd part of the trip
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed of Dave for part of the trip = 55 mph
Speed of Dave the rest of the trip = 60 mph
Total time of the round trip = 4 hours 12 minutes
Total distance of the trip = 245 miles
2. How far did Dave drive during the 2nd part of his trip?
Let's recall that the formula of speed is:
Speed = Distance/Time, therefore Distance = Speed * Time
x = Time of part of the trip
4 hours 12 minutes - x = Time of the rest of the trip
4.2 hours - x = Time of the rest of the trip
Now, we can write solve for x, this way:
55 * x + 60 (4.2 - x) = 245
55x + 252 - 60x = 245
-5x = 245 - 252
-5x = -7
x = -7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8
1st part of the trip = 55 * 1.4 = 77 miles
2nd part of the trip = 2.8 * 60 = 168 miles
Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part
Find each function value f(7) if f(x) =5x
The value of f(7) is 35
Solution:
Given function is:
f(x) = 5x
We have to find the value of f(7)
The value of f(7) can be found by substituting x = 7 in given function
Plug in x = 7 in function
[tex]f(x) = 5x\\\\f(7) = 5(7)\\\\f(7) = 5 \times 7\\\\f(7) = 35[/tex]
Thus the value of f(7) is 35
To find f(7), substitute x = 7 into the function f(x) = 5x. The value of f(7) is 35.
Explanation:To find the value of f(7) if f(x) = 5x, substitute x = 7 into the function. We get:
f(7) = 5(7)f(7) = 35Therefore, the value of f(7) is 35.
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Is 4÷2/7 the same as 4 groups of 2/7 yes or no explain your answer
Answer:
14
Step-by-step explanation:
4/(2/7)=(4/1)(7/2)=28/2=14
(X^2+2x+5)(2x) simplify this
Answer:
Step-by-step explanation:
(X²+2x+5)(2x)
= 2x(x²) +2x(2x) + 2x(5)
= 2x³ + 4x² + 10x
Kayla and he children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.
Answer:
Let x = the number of hotdogs
Let y = the number of tacos
3.5x+4y=63
x=y+3
This solution defines a system of equations for a problem about purchasing hotdogs and tacos at a certain value. Quantity and value equations are defined as H=T+3 and 3.50H+4T=63 respectively, with H and T standing for number of hotdogs and tacos.
Explanation:The question asks us to define a system of equations for Kayla's purchase of hotdogs and tacos. Let's denote the number of hotdogs as H and the number of tacos as T. As per the question, we have two conditions: Kayla spent $63 in total and she bought 3 more hotdogs than tacos. Therefore we can define below equations:
Quantity equation: H = T+3 (Kayla bought 3 more hotdogs than tacos)Value equation: 3.50H + 4T = $63 (Total money spent)These two equations can then be solved simultaneously to find the number of hotdogs (H) and tacos (T) Kayla bought.
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Which number is a rational number? A. B. C. D.
Answer:
a
Step-by-step explanation:
A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which had the fastest average speed?
Answer:
boat 75
Step-by-step explanation:
Car--360/6=60
Train--400/8=50
Boat--375/5=75
Answer:
boat traveled the fastest by 35km/h
Step-by-step explanation:
car traveled= 360
6
train traveled= 400
5
boat traveled= 375
5
traveled:
Car= 60km/h
train= 50km/h
boat= 75km/h
Therefore BOAT WITH 75km/h has the FASTEST average speed
Hope it is a proper explanation & correct answer
STAY SAFE
Solve 4(4f-9)=-(2-f)
Answer:
f = [tex]\frac{7}{15}[/tex]
Step-by-step explanation:
1. 4(4f - 9) = -(2-f) distribute the negative
2. 4(4f - 9) = -2 + f Distribute the 4
3. 16f - 9 = -2 + f Subtract f on both sides
4. 15f - 9 = -2 Add 9 on both sides
5. 15f = 7 Divide both equations by 15
6. [tex]\frac{15f}{15} = \frac{7}{15}[/tex]
f = [tex]\frac{7}{15}[/tex]
a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. write an equation to represent the distant d that the car travels in m minutes
Find how far the car traveled in one minute by dividing distance traveled by total time:
2 5/8 miles / 3 1/2 minutes = 3/4 mile per minute.
Now for distance (D) multiply miles per minute by number of minutes (m)
D = 3/4m
Find the area of the shape shown
Answer:
The area is 18un^2
Step-by-step explanation:
The trapezoid area formula is (b1+b2)*h/2
so the two bases are 9 and 3. add them 9+3 = 12
the height is 3 multiply 12*3 = 36
then divide by two 36/2 = 18
A function is defined as {(0, 1), (2, 3), (5, 8), (7, 2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function? (1) (0, 2) (4) (1, 3) (3) (7, 0) (2) (5, 3)
Answer:
2
Step-by-step explanation:
GIVING BRAINLIEST Green Middle School has 270 boys, 250 girls, 26 teachers, and a supporting staff of 5 employees. The school uses an average of 126,776 gallons of water per week. Assuming that the water usage is proportional to the number of people in the school, about how much water do the students consume per month? a. 28,704 gal c. 478,400 gal b. 119,600 gal d. 507,104 gal
Answer:
b 119,600
Step-by-step explanation:
250+270+26+5=551 250+270 = 520 520/551 ~94%
94% of 126,776~ 119,600
Solve for x.
6.5 cm
8 cm
7.5 cm
7.2 cm
Answer:
7.2 cm
Step-by-step explanation:
For the similar triangles, the ratio of the length of the bottom side to the right side is the same:
bottom/right = (x cm)/(6 cm) = (12 cm)/(10 cm)
x cm = (6 cm)(12/10) = 7.2 cm
_____
Technically, x = 7.2, not 7.2 cm.
Match the expression with corresponding x- and y- values so that all three expressions are equivalent to one another.
Answer:
x = 4, y = 1---->7(4)(1) - 3 = 28 - 3 = 25
x = 1, y = 6---->1 + 4(6) = 25
x = 1, y = 3---->(1 + 3 + 1)² = 5² = 25
What is the inequality x+5<2
Answer:
x < - 3
Step-by-step explanation:
Given
x + 5 < 2 ( subtract 5 from both sides )
x < - 3
Yo sup??
x+5<2
adding -5 on both the sides
x+5-5<2-5
x<-3
Therefore x can take any value from -3 (-3 not included) to negative infinity.
Hope this helps.
Which of the following expressions have a quotient of −17?
Question 6 options:
A)
(−)7
B)
17
C)
1(−7)
D)
−(17)
E)
(−1)(−7)
Answer:
C = -6
Step-by-step explanation:
1 +-7 =-6:::::::::::::::::::
KRISTIN SPENT 40$ on diapers. 8$ / package , how many packages did she buy
Answer:
5 packages . .
Step-by-step explanation:
Answer:
5 packages of diapers
Brian drank 4.4 gallons of water today. There are approximately 3.8 liters in 1 gallon. How many liters did her drink? Round to the nearest hundredth.
Question 4 options:
0.6 L
7.33 L
0.86 L
1.16 L
Answer:
Step-by-step explanation:
16.72 or 17
Answer:
16.72
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, all you would have to do is multiply 3.8*4.4
3.8*4.4=16.72
However, I'm not sure why {maybe a typo?}, but 16.72--nor any other numbers similar are listed.
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
y=3/4 x-4
Any help?
(y=3
- x-4
4
Soo confused. What am I supposed to do?
Answer:
see graph of y=3/4 x-4
Step-by-step explanation:
Assuming you mean
[tex]y = \frac34x - 4[/tex]
Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.
You have to be careful on how you write these equations down. It might very well be that you meant:
[tex]y = \frac{3}{4x-4}[/tex] or [tex]y = \frac{3}{4x} - 4[/tex]
However, those are more complex so I'm hoping for the first one... ;-)