sally is x years old and her sister ann is 4years younger. If the product of their ages is 140, form an equation in x and solve it to find ann's age
The cost of 9 oranges is $1. What is the cost of 3 dozen oranges?
a dozen is 12
Answer:
$4
Step-by-step explanation:
36/9=4
36 is the number of oranges.
We know that 9 oranges is $1.
If 36 goes into 9, 4 times, that means 36 oranges costs $4.
Hope this helps :)
Melinda and Marcus each have a job. Melinda earns $12 an hour. She also receives a $75 weekly bonus.
Melinda made a table to show how much she earns in a given week.
Hours 0 5 10 15 20 25 30 35 40
Weekly Earnings 75 135 195 255 315 375 435 495 555
Marcus earns $15 an hour.
Marcus wrote an equation to determine how much he earns for a given number of hours in a given week.
y=15x
After working a certain number of hours, Melinda and Marcus will have each earned the same amount of money. How much money will they have earned then?
$______
I need help with this question 2 -3/4K=1/8k+9
The value of k in the expression is -8.
We have,
2 - (3/4)k = (1/8)k + 9
Combine like terms on one side.
-(3/4)k - (1/8)k = 9 - 2
Simplify.
-k (3/4 + 1/8) = 7
-k (6 + 1)/8 = 7
-(7/8)k = 7
Multiply 8 on both sides.
-(7/8)k x 8 = 8 x 7
-7k = 56
Divide -7 on both sides.
k = -56/7
k = -8
Thus,
The value of k in the expression is -8.
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does the equation y = 20x + 500 represent a linear function
What is the equation graphed in this figure?
britney found a swimsuit that she wanted to buy with a pricetag of $80 the sign above it indicated that this price was 20% off. what was the original price of the swimsuit
Step by step HELP I HAVE A BAD GRADE IN THIS CLASSSS HELPP
Convert 1.580 hectoliters to deciliters.
The theoretical time for an apple to drop 2 meter is 0.64 second.sam did the experiment himself and measured that it took 0.62 second for him. What is the percent error?
There are 20 balls in a bag. Ten of the balls are red, 4 are green, and the rest are yellow.
Which ratio represents the number of yellow balls to red balls?
1:5
3:10
2:5
3:5
Answer
Find out the ratio represented the number of yellow balls to red balls .
To proof
Let us assume that the number of yellow balls be x.
As given
There are 20 balls in a bag.
Ten of the balls are red, 4 are green, and the rest are yellow.
than the equation becomes
x + 10 + 4 = 20
x = 20 - 14
x = 6
therefore the number of yellow balls be 6 .
Now find out the ratio between the the number of yellow balls to red balls .
the number of yellow balls be 6 .
the number of red balls be 10 .
[tex]\frac{Number\ of\ yellow\ balls}{Number\ of\ red\ balls} = \frac{6}{10}[/tex]
solving
[tex]\frac{Number\ of\ yellow\ balls}{Number\ of\ red\ balls} = \frac{3}{5}[/tex]
Therefore the ratio of the the number of yellow balls to red balls is 3 :5 .
Option (d) is correct .
Hence proved
Krista's softball team played 35 games this season and lost only 7 of them.
What percent of their games did Krista's team lose?
The fraction [tex]\frac{7}{35}[/tex] represents how many games Krista's softball team lost out of the 35 games Krista's team played.
To find the percent of games that Krista's team lost, we need to turn the fraction [tex]\frac{7}{35}[/tex] into a percent.
We can reduce [tex]\frac{7}{35}[/tex] by dividing both the numerator and denominator by the Greatest Common Factor of 7 and 35 using 7.
7 ÷ 7 = 1
35 ÷ 7 = 5
Now, we have our reduced fraction.
1 ÷ 5 = 0.2
0.2 × 100 = 20%
Therefore, Krista's softball team lost 20% of their games.
Write a description of how a diagram can help you solve 2x40
Answer: 2 x 40 = 80
Step-by-step explanation: there are two baskets of apple fruit labelled basket X and basket Y, each basket consists 150 green apple fruit.
You were asked to select 40 green apple fruit from each of the basket and put it together in basket Z.
40 green apples from both baskets X and Y equals 80 green apples in basket Z.
2 x 40 =80
Sydney made 21 wooden penguins to sell at a fair. She used 5 pompoms and 4 beads to decorate each penguin . How many pompoms and beads did she use for the wooden penguins in all.
She used 84 pompoms and 105 beads for the wooden penguins
How many pompoms and beads did she use for the wooden penguins in all.
From the question, we have the following parameters that can be used in our computation:
wooden penguins = 21
Also, we have
Pompoms = 4 and Beads = 4 for each wooden penguins
Using the above as a guide, we have the following:
Total pompoms = 4 * 21 = 84
Total beads = 5 * 21 = 105
Hence, she used 84 pompoms and 105 beads
Sydney used a total of 189 pompoms and beads for all 21 wooden penguins.
To find the total number of pompoms and beads Sydney used for all the wooden penguins, we first need to determine how many decorations she used for one penguin.
She used 5 pompoms and 4 beads for each penguin.
So, for each penguin, the total number of decorations = 5 (pompoms) + 4 (beads) = 9 decorations.
Now, to find the total number of decorations for all 21 wooden penguins, we multiply the number of decorations for one penguin by the total number of penguins:
Total decorations = 9 decorations/penguin × 21 penguins
= 189 decorations.
Therefore, Sydney used a total of 189 pompoms and beads for all the wooden penguins.
Ms.Sim traveled to 42 countries in 60 days.At this rate,how many countries would he travel to in 40 days?
the fastest ball game in the world may well be Jai-Alai. In it, players use to scoop attached to their hand to throw a small hard ball as fast as 188 mph at an granite wall. To the nearest tenth of a kilometer, about how fast is that speed in km/h
Step-by-step explanation:
Speed with which the players throw a small hard ball is 188 miles per hour. We need to convert the speed of the ball in kilometers per hour.
Firstly we can see the conversion from mile per hour to kilometer per hour as :
1 miles = 1609.34 meters
Also, 1 mile per hour = 1.60934 kilometer per hour
To convert 188 mph to km/h we can use the unitary method as :
188 mile per hour = 1.60934 × 188 kilometer per hour
188 mile per hour = 302.557 kilometer per hour
So, the speed of the ball is 188 miles per hour or 302.557 kilometer per hour. Hence, this is the required solution.
Please help!!! It's about the types of quantities if they are proportional or not if there is a constant number.
Explain why 3(5x) is not equivalent to (3*5)(3*x).
Jim and Holly are making gingerbread men. It takes them both 2 minutes to make 2 gingerbread shapes. At this rate, how many people are needed to make 400 gingerbread men in 400 minutes?
40 is 50% of what number
Find the X and Y intercepts of -8x +4y =24
The X and Y intercepts of the given equation can be found by setting variables to zero in turn and solving for the other. The X intercept is -3 and the Y intercept is 6.
Explanation:To find the X and Y intercepts of -8x + 4y =24, we should set each variable equal to zero in turn to solve for the other. The X intercept occurs when Y is zero, and the Y intercept happens where X is zero.
For finding X-intercept, place Y equal to zero in the equation, so we get -8x +4(0) = 24. Solving it leads us to X = -3.
For the Y-intercept, let’s place X equal to zero in the equation. Here we get -8(0) + 4y = 24. Solving this yields Y = 6. So, the X intercept is -3, and the Y intercept is 6.
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How many times greater is the product 4x300 than the product 4x30?
10 times greater is the product 4x300 than the product 4x30 after taking the ratio of the number, the answer is 10.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The two numbers are 4x30 and 4x300
To find how many times greater the other number.
Let x time greater the product of 4x300 than the product 4x30
4×300 = 4×30x
x = 4×300/4×30
x = 10
Thus, 10 times greater is the product 4x300 than the product 4x30 after taking the ratio of the number, the answer is 10.
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a box contains 16 cherry fruit chews, 15 peach fruit chews, and 12 plum fruit chews. Which two flavors are in the ratio 5 to 4
The flavors are in the ratio 5 to 4 which is Peach to plum .
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We are given that box contains 16 cherry fruit chews, 15 peach fruit chews, and 12 plum fruit chews.
Therefore, we have
15 divided by 3
15/3 = 5
12 divided by 3
12/3 = 4
The ratio 5 to 4 is Peach to plum .
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Please help me with my math homework
Which operation should you perform first when you simplify 175 - (8 + 45 / 3) * 7? A. Addition B. Division C. Multiplication D. Subtraction
PLEASE ANSWER THIS IM IN A HURRY
Answer:
B. Division
Step-by-step explanation:
We have been given an expression [tex]175-(8+\frac{45}{3})*7[/tex]. We are asked to determine which operation will we use first to simplify our given expression.
Using order of operations PEMDAS, we will remove parenthesis first. To remove parenthesis, we need to simplify [tex]\frac{45}{3}[/tex].
Therefore, we will use division first to simplify our given expression.
Suppose you are driving to visit a friend in another state. You are driving at an average rate of 50 miles per hour. You must drive a total of 345 miles. If you have already driven 145 miles, how long will it take you to reach your destination?
To calculate the remaining travel time to reach a destination, subtract the distance already driven from the total trip distance, then divide the remaining distance by the average speed. For this question, after driving 145 miles out of 345, and traveling at an average speed of 50 miles per hour, it will take 4 more hours to reach the destination.
Explanation:The student's question involves calculating the remaining time needed to reach a destination when driving at a constant speed, a typical problem in motion related to average speed and distance. We are given that the total distance is 345 miles, the average speed is 50 miles per hour, and the student has already driven 145 miles. To find the remaining time, we subtract the distance already covered from the total distance and then divide by the average speed.
First, we calculate the remaining distance to be covered by subtracting the distance already driven from the total distance: 345 miles - 145 miles = 200 miles. Next, we determine the time it would take to travel the remaining 200 miles at the average speed of 50 miles per hour. Time is calculated by dividing the remaining distance by the average speed.
Using the formula Time = Distance ÷ Speed, we have Time = 200 miles ÷ 50 miles/hour. This simplifies to 4 hours. Therefore, it will take 4 more hours for the student to reach their destination if they continue to drive at the same average rate of speed.
It will take 4 additional hours to reach the destination by driving the remaining 200 miles at an average speed of 50 miles per hour.
Explanation:To calculate the time it will take to reach the destination, we can use the formula for time which is:
Time = Distance / Speed.
You have already driven 145 miles, so you have 345 miles - 145 miles = 200 miles left to travel. Given that you are driving at an average rate of 50 miles per hour, the remaining travel time can be calculated as follows:
Time = 200 miles / 50 miles per hour = 4 hours.
Therefore, it will take 4 more hours to reach your destination.
To find the time it will take to reach your destination, you need to divide the remaining distance by the average speed. So, if you have already driven 145 miles, you have 345 - 145 = 200 miles left to drive. Using the formula: time = distance / speed, the time it will take to reach your destination is 200 miles / 50 miles per hour = 4 hours.
Each digit in the division example has been replaced with the same letter throughout. (r stands for remainder.) The digits used were 1,2,3,4,5,7, and 9. Find the numbers. (Clue: U = 5.) ( Which means turn the letters into numbers. )
SU rE
_________
U) CAN
- CU
________
I N
- I U
_________
E
Convert 2/3 to a decimal
Answer is provided in the image attached.
PLEASE HELP ME I WILL DO ANYTHING I NEED HELP ASAP PLEASE HELP ME
A rock climber descends from a peak at a rate of 1/20 vertical km each minute. What is the climber's total change in elevation in 10/11 min?
Enter your answer in the box as a simplified fraction.
Explain why it can be helpful to use partial quotients when dividing?
Using partial quotients for division is helpful as it simplifies division into easier to manage multiplication and subtraction problems, enhances intuitive and mental math skills, and allows students to verify their answers easily.
Explanation:Using partial quotients when dividing can be helpful because this method turns a complex division problem into a series of simpler multiplication and subtraction problems. Unlike traditional long division that requires more complex, multiple-digit calculations, partial quotients approach the division process by allowing the student to subtract multiples of the divisor from the dividend in parts. This can be intuitive and less intimidating for students as they can work with smaller, more manageable numbers.
Partial quotients also allow for flexible thinking in mathematics. One can use estimates and adjust them in subsequent steps if necessary. This builds a deeper understanding of the division process instead of just rote procedure-following, and develops estimation and mental math skills over time. Moreover, it provides a clear pathway to check the work by adding the partial quotients, enhancing the student's ability to verify their own answers, and reinforcing the relationship between multiplication and division.
In practice, breaking down a division problem into smaller parts makes solving complex calculations more accessible and can be considered a shortcut that streamlines the division process. As such, this technique can be especially useful when dealing with larger numbers where traditional methods could become cumbersome. It introduces students to the concept of approximation, which is a valuable skill in both mathematics and real-life problem-solving scenarios.