What are two ratios that are equivalent to 1:1
Please help on the following two questions. Explain your reasoning.
1) Every time a football team makes a touchdown worth 6 points, it is given the opportunity to make an extra point. So far in a game, it has made t touchdowns and scored a total of 7t - 6 points. If touchdowns and extra points are the only way it has scored, what does the 6 represent?
A. the number of extra points attempted
B. the number of extra points made
C. the number of extra points missed
D. the number of touchdowns made
2) Jacob stated that he solved the equation 2x + 3 = 5 using the addition property and multiplication property of equality. Which statement is true?
A. Jacob added -3 to both sides and multiplied both sides by 1/2.
B. Jacob added -3 to both sides and multiplied both sides but 2.
C. Jacob added 3 to both sides and multiplied both sides but 1/2.
D. Jacob added 3 to both sides and multiplied both sides but 2.
In the scoring question, 6 represents the missed extra points. For the second question, Jacob initially subtracted 3 from both sides of the equation, then he multiplied both sides by 1/2 to solve for x.
Explanation:1.) Given the equation for the total score of the football team, 7t - 6, where t represents the number of touchdowns. Each touchdown is worth 7 points (6 points for the touchdown and a possible extra 1 point). If the total score is 7t - 6, then the 6 in the equation represents the number of extra points missed. So the correct answer is C.
2.) As for Jacob's method on solving the equation 2x + 3 = 5, he should first isolate the term with x by using the addition property of equality, subtracting 3 from both sides.
This changes the equation to 2x = 2. Afterwards, he can use the multiplication property of equality by multiplying both sides by 1/2 to solve for x.
Therefore, it sounds like Jacob added -3 to both sides and multiplied both sides by 1/2, which makes the correct answer A.
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The price of a computer dropped from $1,500 to $1,200. What was the percent of that drop?
For the school play, most of the chairs are rows of 10 each, with one row of 8 chairs.If there are 78 chairs in altogether, how many rows are there?
Please help!!!!!!!!!!!!!!!!!!!!
Brody had his computer repaired at Store A. His bill was: Initial Repair Cost = $1,200 Sales Tax of 6 percent = $72.00 Gratuity of 15 percent Explain how you would calculate the gratuity for the services provided.
The gratuity for the service provided is $180.
Initial Repair Cost = $1,200
Sales Tax = 6%
Gratuity = 15%
Therefore, based on the above information, the gratuity will be:
= Gratuity percentage × Cost
= 15% × $1200
= 0.15 × $1200
= $180
Therefore, the gratuity is $180
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how do you write the quotient (9+i) over (9-i) in standard form? I need the answer but more importantly, I need to learn how to solve these kinds of problems.
What is the greatest common factor for 12x^5y and 32x^6y
Answer:
hecc
Step-by-step explanation:
The cook in the school cafeteria made 47 1/2 cups of mashed potatoes. If there are 1 1/4 cups mashed potatoes in a serving, how many servings did she make?
To find the number of servings, divide the total amount of mashed potatoes (47 1/2 cups) by the amount in each serving (1 1/4 cups), resulting in 38 servings.
To calculate the number of servings the cook made, we need to divide the total amount of mashed potatoes by the amount in each serving:
First, we have 47 1/2 cups of mashed potatoes in total.
We know that one serving is 1 1/4 cups of mashed potatoes.
To find out how many servings there are, divide the total cups (47.5) by the cups per serving (1.25):
47.5 ÷ 1.25 = 38 servings.
So the cook made 38 servings of mashed potatoes.
5000 more than the number has 187 thousands
The number is 182,000.
We needs to find a number that, when 5000 is added to it, equals 187,000. To solve this, we will perform a subtraction operation.
Step 1: Recognize that '5000 more than the number' means we will add 5000 to the number.
Step 2: The result is given as 187,000. So, we set up the equation as follows:
Number + 5000 = 187,000
Step 3: To find the original number, we subtract 5000 from 187,000.
Number = 187,000 - 5000
Step 4: Perform the subtraction to find the number.
Number = 182,000
Therefore, the number is 182,000.
what is the greatest common factor of 120-36
Solve for X
4(x+1) < 3
673,432 rounded to the nearest thousand
To find 79 times 24 multiply 80 by 24 and take off a group of 24
The value of 79 times 24 is 1896.
Here,
We have to find 79 times 24 multiply 80 by 24 and take off a group of 24.
What is Product?
The multiply of two or more number is called product.
Now,
To find 79 times 24 as;
Multiply 80 by 24 and take off a group of 24.
We can solve this as;
80 x 24 - 24 = 1920 - 24 = 1896
Hence, The value of 79 times 24 is 1896.
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how do you find the smallest positive integer k such that 1350k is a perfect cube?
The smallest positive integer k such that 1350k is a perfect cube is found by prime factorizing 1350 and ensuring that all prime exponents in its factorization are multiples of 3. The missing exponents for 2 and 5 are 2 and 1 respectively, so multiplying by k=20 achieves this.
Explanation:To find the smallest positive integer k such that 1350k is a perfect cube, we start by factoring 1350 into its prime factors. We have 1350 = 2 × 3^3 × 5^2. In order for a number to be a perfect cube, all the exponents in its prime factorization must be multiples of 3 since a cube of any number is that number multiplied by itself three times. In the prime factorization of 1350, the exponent of 2 is 1 (which is 2 short of a multiple of 3) and the exponent of 5 is 2 (which is 1 short of a multiple of 3).
To make the number a perfect cube, we need to multiply it by a k such that the prime factorization of the result has all exponents as multiples of 3. Therefore, we need one more 2 to make the exponent of 2 equal to 3, and we need one more 5^1 to make the exponent of 5 equal to 3. This gives us a k of 2^2 × 5^1 = 4 × 5 = 20. So, k=20 is the smallest positive integer that, when multiplied by 1350, results in a perfect cube.
1/4, 32%, and 0.4 in least to greatest
after two games of bowling tonka had a total score of 220. his score for the first gamr was 97. what was his score for the second game?
what is the prime factorization of 25 using exponents
PLEASE HELP ASAP!
First question. 1/6 of the students at a local college Seniors. The number of freshmen students is 2 1/2 times that amount. what fraction of the students are freshman?
Second question. Anna wants to make four sets of curtains. Each set requires 5 1/8 yards of fabric. How much fabric does she need?
Third question. It takes Dylan 8 1/3 minutes to run 1 mile. It takes Kate 1 1/5 times longer. How long does it take Kate to run one miles?
Last question. Carl bought some stock at $25 a share. The stock increase to 1 1/2 times its value. How much is the stock per-share?
An angle measures x°. What is the measure of its complement and its supplement?
The measure of its complement and its supplement will be 90° - x° and 180° - x°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
An angle measures x°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees. Then the angle will be
⇒ 90° - x°
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees. Then the angle will be
⇒ 180° - x°
Then the measure of its complement and its supplement will be 90° - x° and 180° - x°.
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Traveling at 65 miles/hour, how many feet can you travel in 22 minutes?
Please break this down into parts so i can easily understand this. I take gse algebra 1 in the 8th grade and i'm having trouble with dimensional analysis word problems so I really need help with this one. We also have to use a certain chart that looks like a big fraction we use to solve problems like this, the units cancel out, and we multiply the top and bottom and then divide the top product by the bottom product. Please help. I'll also be giving the brainliest answer.
The measures of the angles of △RST are given by the expressions in the table.
Angle Measure
R 31°
S (x + 4)∘
T (3x + 9)∘
Find the value of x. Then find the m∠S and m∠T.
Enter your answers in the boxes.
x = __
m∠S= __ º
m∠T= __ º
The measure of angle S is [tex]38^\circ[/tex] and the measure of angle T is [tex]111^\circ[/tex] and this can be determined by using the property of sum of interior angles.
Given :
[tex]\rm \angle R = 31^\circ[/tex][tex]\rm \angle S = (x + 4)^\circ[/tex][tex]\rm \angle T = (3x+9)^\circ[/tex]Apply the property of the sum of the interior angles of the triangle in order to determine the angles R, S, and T.
[tex]\rm \rm \angle R +\rm \angle S+\rm \angle T = 180^\circ[/tex]
31 + (x + 4) + (3x + 9) = 180
Simplify the above equation in order to determine the value of 'x'.
4x + 13 = 149
4x = 136
[tex]\rm x = 34^\circ[/tex]
Now, the measure of angle S is:
[tex]\rm \angle S = x + 4 = 34 + 4 = 38^\circ[/tex]
[tex]\rm \angle T = 3x + 9 = 3(34) + 9= 111^\circ[/tex]
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A family of 3 shares the minutes on a cell phone plan. Suppose the plan allows for 675 minutes per month. How many minuets are left each person uses exactly 250 minutes.
the family has exceeded their available minutes by 75 minutes. There are no minutes left; instead, they have gone over their limit.
The problem states that a family of three shares a cell phone plan with 675 minutes per month and asks how many minutes are left if each person uses exactly 250 minutes.
Here's the step-by-step calculation:
1. Calculate the total minutes used by all three people:
Each person uses 250 minutes, so for three people, the total usage would be [tex]\( 250 \times 3 \).[/tex]
2. Subtract the total usage from the total minutes available in the plan:
The plan has 675 minutes, so we subtract the total usage from this amount to find out how many minutes are left.
Let's do the math:
1. Total minutes used by three people:
[tex]\[ 250 \text{ minutes/person} \times 3 \text{ people} = 750 \text{ minutes} \][/tex]
2. Minutes left in the plan:
[tex]\[ 675 \text{ minutes} - 750 \text{ minutes} \][/tex]
If the calculation results in a negative number, it means that the family has used more minutes than the plan provides. Let's calculate.
The total minutes used by three people, each using 250 minutes, is:
[tex]\[ 250 \text{ minutes/person} \times 3 \text{ people} = 750 \text{ minutes} \][/tex]
When we subtract the total minutes used from the total plan minutes:
[tex]\[ 675 \text{ minutes} - 750 \text{ minutes} = -75 \text{ minutes} \][/tex]
This means that the family has exceeded their available minutes by 75 minutes. There are no minutes left; instead, they have gone over their limit.
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Evaluate the expression when x = 8 and y = 1.
x – y – 2
A.16
B.5
C.7
D.9
A shoe manufacture reported earnings of -$453,000 for 2012. In 2013 the company reported earnings of $813,000, and in 2014 the company reported earnings of $384,000. How much more money did the company earn in 2014 than 2012?
Micheal walks 30 meters in 20 seconds. How many meters does he walk per second?
To calculate how many meters Micheal walks per second, we divide the distance he walks (30 meters) by the time (20 seconds), resulting in a walking speed of 1.5 meters per second.
Explanation:The question asks us to calculate how many meters Micheal walks per second, given that he walks 30 meters in 20 seconds. To find this, we use the formula for speed, which is the distance traveled divided by the time taken. Here, the distance is 30 meters and the time is 20 seconds.
Thus, the speed (meters per second) is calculated as follows:
Divide the total distance by the total time: 30 meters ÷ 20 seconds = 1.5 meters per second.Therefore, Micheal walks at a speed of 1.5 meters per second.
What's the answer of 13846+8273636-3763x8273736
Jorge is one year younger than his brother. The sum of their ages is no less than 25 years. What is the youngest age Jorge's brother can be? Enter your answer in the box. years
Insert parentheses in 5+4x2+6-2x2-1 so that it has a value of 19. then show why your expression has a value of 19
joe weighs 212 pounds he wants to slim down to 194 pounds in the next six months how many pounds must he lose each month