Maggie’s brother is 6 years younger than three times her age. The sum of their ages is 42. How old is Maggie?
The triangle shown at the right is isosceles that is it has two sides equal length the third side is 30 m shorter than twice the length of each congruent side the perimeter is 570 find the length of each side
Final Answer:
2(x−15)
Step 1: Translate the problem into a system of equations
We are given that the triangle is isosceles, meaning two sides have the same length. Let's call this length x. The third side is 30 meters shorter than twice the length of each congruent side, so it has a length of 2x−30. The perimeter of the triangle is the sum of all three side lengths, which is equal to 570 meters.
Therefore, we can set up the following equation:
x+x+(2x−30)=570
Step 2: Solve the system of equations
Combining like terms, we get:
4x−30=570
Adding 30 to both sides, we get:
4x=600
Dividing both sides by 4, we get:
x=150
Step 3: Find the side lengths
Now that we know the value of x, we can find the lengths of all three sides:
The first and second sides have a length of x, which is 150 meters each.
The third side has a length of 2x−30, which is 2(150) - 30 = 270 meters.
Answer:
The lengths of the sides of the triangle are:
First side: 150 meters
Second side: 150 meters
Third side: 270 meters
Final Answer:
2(x−15)
The probbale question can be: The triangle shown at the right is isosceles. That is, it has two sides of an equal length. The third side is 30 m shorter than twice the length of each congruent side. The perimeter is 570 m. Find the length of each side.
R 10 m; 6 m; 9 m
X
X
2x - 30'
Give one real world example where you would use absolute value.
A 6-pound bag of sugar contains 681 one-teaspoon servings and costs $4.49. A batch of muffins uses 1 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)
A 6-pound bag of sugar can make 14 whole batches of muffins and the cost for sugar per each batch is approximately $0.32.
Explanation:The subject of this question is in the field of Mathematics, specifically dealing with ratios and proportions. To determine the number of whole batches of muffins a bag of sugar can make, you will first need to find the number of cups in the bag. Given that 1 cup is equivalent to 48 teaspoons and the 6-pound bag of sugar contains 681 teaspoons, divide 681 by 48 to get roughly 14.1875. Since we cannot make a fraction of a batch, round down to 14, which is the number of whole batches we can make.
To find the cost per batch, divide the total cost ($4.49) by the number of batches (14) to get a per-batch cost of roughly $0.32.
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You have a stuck of Pennies. Without counting the pennies, how can you know if there is an odd or even number of them?
The temperature at noon is 75 Fahrenheit. The temperature drops 3 degrees every half hour. What is the temperature at 4 p.m.
To be a member of world Fitness Gym, it costs a $60 flat fee and $30 per month. Maria has paid a total of $210 for her gym membership so far. How long has Maria been a member of the gym? Write and equation to represent this situation. Then solve the equation.
The area of a circle is 78.5 cm2. What is the diameter of the circle?
Can any three side lengths make a triangle? Explain your reasoning.
Which of the following is a rational number?
The fifth power of the product of the product p and q
Arrange these from smallest to largest, 1/6,0.29,23%,3/5,0.027
To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, convert them to decimals and then compare. The order from smallest to largest is: 0.027, 1/6 (0.166...), 23% (0.23), 0.29, and 3/5 (0.6).
Explanation:
To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, we first need to convert them all to the same format. We can convert percentages to decimals by dividing by 100 and fractions to decimals by division. Here are the conversions:
1/6 = 0.166...0.29 (already a decimal)23% = 0.233/5 = 0.60.027 (already a decimal)Now that they are all in decimal form, we can easily compare them:
0.027 (smallest)1/6 (or 0.166...)23% (or 0.23)0.293/5 (or 0.6, largest)4\5 + 3 1\10 Enter the sum in the box as a mixed number in simplest form.
Alaina sugar cookie recipe calls for 2 1/4 cups of flour per batch if she wants to make 2 /3 a batch of cookies how much flour should she use
Answer:
Alaina will require 1.5 cups of flour to make [tex]\frac{2}{3}[/tex] batches of cookies.
Step-by-step explanation:
We are given the following information in the question:
Amount of flour required per batch of cookies =
[tex]2\displaystyle\frac{1}{4}\text{ cups}[/tex]
Number of batches of cookies Alaina wants to make = [tex]\displaystyle\frac{2}{3}[/tex]
Formula:
[tex]\text{Flour required} = \text{Flour required to make 1 batch of cookies}\times \text{Number of batches}\\\\=2 \displaystyle\frac{1}{4}\times \frac{2}{3}\\\\= \frac{9}{4}\times \frac{2}{3} = \frac{3}{2} = 1.5\text{ cups of flour}[/tex]
Hence, Alaina will require 1.5 cups of flour to make [tex]\frac{2}{3}[/tex] batches of cookies.
PLEASE HELP ON 25! ASAP!!
can someone show me step by step this one too? it says I have to solve for the indicated variable plz help
What is 12.1 rounded to the nearest whole number
round 76,912 to the nearest ten thousand
consider the function t(x)=x/8+2x find t(16)
HELP ME THANKSSSS :)
yoshi bought two pairs of shoes. the regular price of each pair was $108. with the purchase of one pair of shoes at regular price, the second pair was half price. how much did yoshi pay altogether for the two pairs of shoes?
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Leo and Robyn have received projects' funding of $39 655. They decide to share the funding in the ratio of 2:3 (Leo:Robyn) for their own research. How much does each person receive?
can you please help me to solve this?
Leo and Robyn receive $15,862 and $23,793 respectively.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Given data;
Total funding= $39655.
Funding in the ratio = 2:3
If x is the part by which one person receive;
The equation is found as;
2x+3x=$39655.
5x=$39655.
x=7931
Leo gets;
2x=2×$7931= $15,862
Robyn gets;
3x=3×$7931== $23,793
Hence,Leo and Robyn receive $15,862 and $23,793 respectively.
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(n-5) (7n-3) simplified
.
Round 12.5829 to the nearest hundredth. Rounded number = ___
Explain how to find the LCM.
If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon (based on the table and graph)?
Answer:
C
Step-by-step explanation:
The person weighs 560 more on Mars than on the moon.
On comparing the weight of the individual on Earth, Mars and Moon, we concluded -
W[Earth] > W[Mars] > W[Moon]
What is Weight ?
Weight is the force exerted by the earth on an object at the surface of the earth. Mathematically -
W = m x g
where -
[m] is the mass of object
[g] is acceleration due to gravity
Given is a person who weighs 240 pounds on Earth.
The weight of the individual in kg m/s² (Newtons) on earth would be -
W[Earth] = 240 x 0.45359237 x 9.8 = 1066.84 N
The weight of the same individual on mars would be -
W[Mars] = 240 x 0.45359237 x 3.11 = 333.56 N
The weight of the same individual on moon would be -
W[Moon] = 240 x 0.45359237 x 1.625 = 176.90 N
Therefore, we can conclude that W[Earth] > W[Mars] > W[Moon].
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