Answer:
The distance from Cleveland to Cincinnati on the second map is 8 cm.
Step-by-step explanation:
The distance from Cleveland to Cincinnati is 40 cm on the first map and the scale on the first map is 1 cm to 10 km.
So, the actual distance from Cleveland to Cincinnati [tex]=(40*10) km = 400 km[/tex]
Suppose, the distance from Cleveland to Cincinnati on the second map is [tex]d[/tex] cm.
Given that, the scale on the second map is 1 cm to 50 km. So, the equation will be........
[tex]\frac{d}{400}=\frac{1}{50}\\ \\ 50d=400\\ \\ d=\frac{400}{50}=8[/tex]
So, the distance from Cleveland to Cincinnati on the second map is 8 cm.
The distance from Cleveland to Cincinnati on the second map can be found to be 8 cm.
How to find the distance ?To find the actual distance from Cleveland to Cincinnati, you would multiply the map distance by the scale:
= 40 cm * 10 km/cm
= 400 km
So, the actual distance from Cleveland to Cincinnati is 400 km.
Now, on the second map, the scale is 1 cm to 50 km.
To find the distance from Cleveland to Cincinnati on the second map, you would divide the actual distance by the scale of the second map:
= 400 km / 50 km/cm
= 8 cm
So, the distance from Cleveland to Cincinnati on the second map would be 8 cm.
Find out more on distance at https://brainly.com/question/8625515
#SPJ4
Charles has rolled a 6-sided die three times and it landed on 3 each time. What is the probability of getting a 3 on the 4th roll?
Answer choices: A) 1, B) [tex]\frac{1}{36}[/tex], C) [tex]\frac{1}{216}[/tex], D) [tex]\frac{1}{6}[/tex]
The answer would be D - 1/6
This is because there are six sides to the die and just because he rolled all 3s before it does not mean he has a better chance to roll a 3 now.
Since there is only 1 3 on the six sided die there is a 1/6 chance he would roll a 3.
The probability of rolling a 3 on a 6-sided die remains 1/6 regardless of previous outcomes because each roll is an independent event. Therefore, the probability of getting a 3 on the 4th roll, after it has landed on 3 for three times, is 1/6.
Explanation:The subject of this question is Mathematics, specifically probability. The question asks what the probability is that a 6-sided die, after landing on 3 for three times, will land on 3 again on the 4th roll. It is important to understand that the roll of a die is an independent event, meaning that previous rolls do not impact the outcome of subsequent rolls. Therefore, no matter what the die landed on in previous turns, the probability of getting a 3 on the next roll remains the same.
Since a die has 6 faces, each face (1, 2, 3, 4, 5, 6) has an equal chance of landing up, making the probability of getting a certain number on a die 1 out of 6 or [tex]\frac{1}{6}[/tex]. So, option D is the correct answer.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ3
2/5(15p-20)= -8p-3(p-6)
p = [tex]\frac{26}{17}[/tex]
distribute the parenthesis on both sides of the equation.
6p - 8 = - 8p - 3p + 18
6p - 8 = - 11p + 18 ( add 11p to both sides )
17p - 8 = 18 ( add 8 to both sides )
17p = 26 ( divide both sides by 17 )
p = [tex]\frac{26}{17}[/tex]
markup and markdowns
Markup:
1. The notation that is used to indicate how text should be displayed.
2. The percentage or amount by which a seller hikes up his buy-in price when determining his selling price.
3. An increase in price.
Markdown:
1. A reduction in price in order to stimulate sales.
2. An decrease in price.
Which equation has the solution x = 1.5?
A) x/2 + 3.5 = 6.5
B ) x/2 − 3.5 = 6.5
C) 2−3.5=6.5
D )2 + 3.5 = 6.5
Answer:
The correct answer is D.
2x + 3.5 = 6.5
x = 1.5
What is the range of the function? A. {1, 2, 3, 4} B. {1, 2, 3, 4, 9, 12} C. {2, 4, 9, 16} D. {1, 2}
C. {2, 4, 9, 16}
ranges (y) would be on the left of the graph. domains (x) would be on the left of the graph.
hope this helps! ❤ from peachimin
Answer: C 2,4,9,16
Step-by-step explanation:
Factories often add filler when making meatballs sold by the bag. One factory obtained 135kg of beef from overseas. They want to add 1.3oz of filler for each pound of beef. How many ounces of filler will the factory need in order to make meatballs out of this shipment of beef?
Use 1lb = 0.45kg and do not round any computations
Answer:
The company needs 390 oz of filler.
Step-by-step explanation:
One factory obtained 135 kg of beef from overseas.
They want to add 1.3oz of filler for each pound of beef.
Given is:
0.45 kg = 1 pound
So, 135 kg = [tex]\frac{135}{0.45}[/tex] = 300 pounds
The company want to add 1.3 oz of filler for each pound of beef.
So, for 300 pounds they will need = [tex]300\times1.3=390[/tex] oz of filler.
Therefore, the company needs 390 oz of filler.
8(x-1) - 3x(4-x) + 6 (x+2) - 3. How can I simplify this?
Use the distributive property. For the first set of parenthesis, multiply everything inside by 8. This gets you to 8x-8.
Next set: Everything inside by 3x: 12x+3x^2.
Next set: Everything inside by 6: 6x+12.
Put it all together: 8x-8-12x+3x^2+6x+12-3.
Combine like terms: 2x+1+3x^2
Jesse has a container that contains 18 3/4 cups of ice cream. How many 1/3 cup servings are in the container?
Jesse can serve 56 full 1/3 cup servings of ice cream from the container with a bit of ice cream remaining.
Jesse has a container that contains 18 3/4 cups of ice cream. To determine how many 1/3 cup servings are in the container, we need to divide the total amount of ice cream by the size of each serving:
First, convert 18 3/4 cups to an improper fraction: (18 × 4) + 3 = 75/4 cups.Next, divide 75/4 by 1/3, which is the same as multiplying 75/4 by 3/1 (since dividing by a fraction is the same as multiplying by its reciprocal).75/4 × 3/1 = (75 × 3) / (4 × 1) = 225/4.Simplify the fraction: 225/4 = 56.25. Therefore, there are 56 whole servings, with a little left over.Jesse can serve 56 full 1/3 cup servings of ice cream from the container with a bit of ice cream remaining.
−8x+3≥27 AND−13x+5≥57
Answer:
[tex]x \leq -4[/tex]
Step-by-step explanation:
[tex]-8x+3\geq 27 and -13x+5\geq 57[/tex]
LEts solve each inequality separately. then we find the intersection of both solutions.
[tex]-8x+3\geq 27[/tex]
Subtract 3 on both sides
[tex]-8x\geq 24[/tex]
Divide both sides by [tex]-8[/tex], change the inequality symbol when we divide by negative number
[tex]x \leq -3[/tex]
Now solve the other inequality
[tex]-13x+5\geq 57[/tex]
Subtract 5 on both sides
[tex]-13x\geq 52[/tex]
Now divide both sides by [tex]-13[/tex]
[tex]x \leq -4[/tex]
Now we take the intersection of [tex]x \leq -3[/tex] and [tex]x \leq -4[/tex]
for [tex]x \leq -3[/tex], we shade the number line to the left
[tex]x \leq -4[/tex], shade the number line to the left
Intersection of both graph is [tex]x \leq -4[/tex]
Answer:
A
Step-by-step explanation:
Solve for x: 3x - 24 = 81
A-57/3
B-105/3
C-57
D-105
Helpppp please
[tex]Solution,solve\:for\:x,\:3x-24=81\quad :\quad x=35[/tex]
[tex]Steps: 3x-24=81[/tex]
[tex]\mathrm{Add\:}24\mathrm{\:to\:both\:sides}, 3x-24+24=81+24[/tex]
[tex]\mathrm{Simplify}, 3x=105[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3, \frac{3x}{3}=\frac{105}{3}[/tex]
[tex]Simplify, x=35[/tex]
The correct answer is B. 105/3
Hope this helps!!!
<3 - austint1414
1.Which fraction is the ratio expressed in simplest form?
24:18
A. 12/9
B.8/6
C.4/3
D.6/1
2.the ratio of two numbers is 1 to 4 and the sum of the numbers is 45 what is the smallest number?
A.10
B.9
C.8
D.7
3.what is 490% written as a decimal?
A. 4.9
B.49
C. 4900
D. 0.0049
4. What is 0.5% written as a decimal?
A.0.5
B.00.5
C.0.25
D. 0.005
1. divide each number by 6 and you get 4:3 answer c
2. 1x+4x=45 (the ratios give you how many of each you have)
5x=45 so x=9 that is the smallest number
3. percent means out of 100 so 490/100 4.9
4 percent means out of 100 so .5/100 5/1000 = .005
Find the slope of the line that goes through the given points.
(3,1) and (8,9)
It was difficult to explain using words so I attached a picture of the work. I hope this helps!
There are 7 more girls then boys in a club there are 23 members in the club in all how many girls are there in the club? Which expression represents the number of boys
There would be 16 girls in the club. You should use the expression: 23(total people in the club)-7(total boys in the club)=?,so 23-7=16.
Final answer:
To find the number of girls in a club where there are 7 more girls than boys and 23 members in total, we solve the equation 2b + 7 = 23 to determine that there are 8 boys and thus 15 girls.
Explanation:
If there are 7 more girls than boys in a club and there are 23 members in total, let's call the number of boys b. Then the number of girls would be b + 7. Given that the total number of members is 23, we can set up the equation b + (b + 7) = 23 to find the number of boys. Solving the equation:
Combine like terms: 2b + 7 = 23
Subtract 7 from both sides of the equation: 2b = 16
Divide both sides by 2: b = 8
Therefore, there are 8 boys in the club. To find the number of girls, we add 7 to the number of boys which gives us 8 + 7 = 15 girls.
The expression that represents the number of boys is simply b, which we have determined to be 8 in this context.
Your supervisor sends you to the truck for 180 special fasteners when you get there you find that the fasteners come in bags of 15 how many bags of fasteners will you need to bring back
12 bags is the final answer! :)
The number of the bags of the fasteners is 12.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The number of the fastener in each bag will be:-
N = 180 / 15
N = 12
The number of bags are 12
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
Divide 3,479 by 9. What is the remainder?
3x+5=245
Helpppppppppppp
Answer:
X = 80
Step-by-step explanation:
Subtract "5" from both sides,
3x + 5 - 5 = 245 - 5
Simplify,
3x = 240
Divide both sides by "3",
3x/3 = 240/3
X = 80
Hope this helps :-)
Which polygon is a convex heptagon
Convex Heptagon: A convex heptagon is a polygon with seven sides in which all of its diagonals lies inside the Heptagon. Concave Heptagon: A Concave Heptagon is a polygon with one or more interior angles greater than 180 degrees and some diagonals will lie outside the polygon.
Answer:
It's 'A' on Edge 2021. Hope this helps everyone.
Please help and explain on problem four.
For a this would be to draw a line going up like the dots lead up.
For b u would see the average amount of number of score it went up by and based on that u would put something like x=2y to represent the x and y axis.
For c , u would fill in the blank by finding the number (570) and the going to the dot placed with it and find it on the other axis
what’s 9•1085•(17•x)
Hi!
So I believe your question is 9(1085)(17*x)
So we can start to simplify 17 and x into 17x
Next we take 17x*1085= 18,445x
And finally we multiply 18,445x*9
18,445x*9=166,005x
Which amount is the greatest
Answer:
10qt
Step-by-step explanation:
16pt = 32C
So, it's not 16pt
36 C = 9qt
So, it's not 36 C
That only leaves 10qt
Hope this helps :-)
Which mixed number is equivalent to the improper fraction 379 ?
4 1/9 i dont quiet remember but im pretty sure this is correct
I took this quiz and the answer is 4 1/9 i know its late but I hope it helps still... I guess...
Help and I'll label you the brainest and a thank you
How many fractions are there between any two numbers on a number line?
A.5
B.20
C.100
D.an infinite number
The answer would be D: an infinite number, because you can put as far as numbers can go, which is infinite.
Answer:
There are an infinite number of fractions in between numbers on a number line.
Step-by-step explanation:
The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.
Walter takes 7/10 of an hour to mow 2/5 of an acre of lawn.at this rate how many acres will he mow in a hour
Walter can mow 4/7 acres in an hour.
Steps:
Multiply. (7/10 * x = 10/7)
Multiply. (2/5 * 10/7 = 4/7)
Done!
-
Hope this helped! :)
Answer:
u
Step-by-step explanation:
Can you help me on my math homework
Where are the Questions? and Yes
Sandy has $200 in her bank account if she writes 6 checks for exactly $19.98, what expression describes the change in her bank account ? And also what is her balance after the checks are cashed.
Answer:
200 - (19.98 * 6) = x
Explanation:
200 - (19.98 * 6) = x
Solve Parentheses
200 - 119.88 = x
Subtract
80.12 = x
Switch so x comes first
x = 80.12
If you have two positive numbers and you multiply(-12*-6) why are you getting a positive answer?
6 4/11 x2 1/12 Estimate the product
Answer:
The estimated product is 12.
Step-by-step explanation:
When rounding fractions, we can round them to 0, 1/2 or 1. 6 4/11 can be rounded to 6 since 4/11 isn't near the half of 11. 2 1/12 can be rounded to 2 since 1/12 is obviously close to 0. 6 x 2 = 12. The estimated product is 12.
What is the length of KM
The length of one Km Equals 1093.61
Zachary's soccer camp started at 11:35 A.M. They spent 55 minutes practicing defense and 2 hours and 25 minutes shooting. What time did the camp end?
camp ended at 2:55pm
2:55 PM
Because 11:35 AM+55= 12:30 PM. Then 12:30 PM+2:25= 2:55 PM as a final answer
the base of a parallelogram is 9 1/2 cm and its height is 11 1/2cm. what is the area of the parallelogram.
The area of the parallelogram is 109 1/4 square centimeters.
To find the area of a parallelogram, we use the formula:
[tex]\[ \text{Area} = \text{Base} \times \text{Height} \][/tex]
Given that the base is [tex]\(9 \frac{1}{2}\)[/tex] cm and the height is [tex]\(11 \frac{1}{2}\)[/tex] cm, we substitute these values into the formula:
[tex]\[ \text{Area} = (9 \frac{1}{2}) \times (11 \frac{1}{2}) \][/tex]
[tex]\[ \text{Area} = \left(\frac{19}{2}\right) \times \left(\frac{23}{2}\right) \][/tex]
[tex]\[ \text{Area} = \frac{19 \times 23}{2 \times 2} \][/tex]
[tex]\[ \text{Area} = \frac{437}{4} \][/tex]
[tex]\[ \text{Area} = 109 \frac{1}{4} \text{ square centimeters} \][/tex]