Question: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 3x − y = 2 6x − 2y = 4 Answers: (1, 1) (−2, −4) (0, −2) (2, 4)
Answer:
(-2, -4)
Step-by-step explanation:
3(-2) - -4 = -2, so it doesn't work.
both equations are the same line
Vicente and Carla each ran 8 laps around a track. They started at the same time and place. If Vicente ran 1.5 times as fast as Carla, how many laps did Carla have left to finish when Vicente finished his 8th lap?
Answer:
4
Step-by-step explanation:
She is going half the speed as him, so she will have four laps left.
The distance left in 8 laps for Carla when Vicente has already finished his 8th lap is 2 2/3 laps.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance Covered / Time taken
Let the distance of a single lap be x units. Also, the time it takes for Carla to complete a single round is represented by y.
Speed of Carla = x/t
Speed of Vicente = 1.5(x/t)
Now, the time it will take Vincente to complete the 8 laps is,
Time = 8x / [1.5(x/t)]
Time = 8tx / 1.5x
Time = 16t/3
Distance covered by Carla by the time Vincente completed 8 laps,
Distance = Speed × Time
= (x/t) × (16t/3)
= 16x / 3
Now, the distance left in 8 laps is,
Distance left in 8 laps = Total distance - Distance covered
= 8x - (16x/3)
= (24x - 16x)/3
= 8x / 3
= 2 2/3 x
= 2 2/3 laps
Hence, the distance left in 8 laps for Carla when Vicente has already finished his 8th lap is 2 2/3 laps.
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Please help and give correct answer
If AB=3 cm, AC=5 cm, CD=3 cm, and CE=5 cm, what additional information is needed to prove △ABC≅△DEF?
BC=3 cm and AB=3 cm
BC=4 cm and DE=4 cm
BC=5 cm and CE=5 cm
DE=3 cm and CD=3 cm
Answer:
The correct option is;
BC = 4 cm and DE = 4 cm
Step-by-step explanation:
The given sides parameters are;
In ΔABC
AB = 3 cm
AC = 5 cm
In ΔDEF
CD = 3 cm
CE = 5 cm
We note that the point F on ΔDEF is the same as point C on ΔABC
For the two triangles to be congruent, the third side must be equal hence e have;
Where ∠B = ∠D = 90°
Hence, AC² = AB² + BC²
∴ BC = √(5² - 3²) = 4
Similarly,
CE² = CD² + DE²
∴ DE = √(5² - 3²) = 4
Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.
(1/6) to the 2nd power
Answer:
0.0277777778
Step-by-step explanation:
\(\frac{1}{6} ^{2}\)
\(\frac{1}{6}\) × \(\frac{1}{6}\) = 0.0277777778
The answer is 0.02777777777
The sevens just keep going
Just put a line right beside the last 7 so show it's infinte
help me i'm sorry for this much this is very important
Answer:
The equation is 4x + 3
The solution is x = -2
Step-by-step explanation:
please help ty!!!! :)))......................
Answer:
16.25
Step-by-step explanation:
each rod is 6.5 and 5 of those are connected togther
meaning the total length of those 5 rods is 6.5 x 5 or 32.5
the problem says that the length of those 5 rods are cut in half and wants to the length of those half-cutted pieces
to do that, simply divide 32.5 (the length of 5 rods) by 2
(or you could multiply 32.5 with 1/2)
and you get 16.25
~lmk if u got Qs
Answer:
16,25
Step-by-step explanation:
6,5*5=35,5
35,5/2=16,25
For the following problem, you must first solve the problem, then write the inequality.
Ms. Stone wants to spend less than $80 on presents for her 2 brothers.
What is the most amount of money she can spend on each of them?
The most she can spend on each of them is 40
i need to get this right please help
Answer:
3 x 6
Step-by-step explanation:
Its asking, how did Koda get this answer.
Think about it, on the left u have 3 outside and on top you have 6 outside connect those 2 and you get 18 as your answer.
Don't get confused its just showing step by step on how you can do it and why.
Richard spent $95 on hockey tickets, while Dennis spent $57. If all the tickets were the same price, what was the price of one ticket? SHOW YOUR WORK
Answer:
13 a ticket
Step-by-step explanation:
help me with this please
Answer:
27720cm
Step-by-step explanation:
to find area, we multiply all the widths.
11×14×20×9= 27720cm
Answer:
235 square centimeters
Step-by-step explanation:
Split The Shape Into 2.
Shape 1: 11 cm by 14 cm
11 cm * 14 cm = 154 square centimeters
Shape 2: (20 - 11) cm by 9 cm
(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters
Original Shape = Shape 1 + Shape 2
154 + 81 = 235 square centimeters
Sindy bought a pair of jeans with a price tag of $68.00. She paid 8% sales tax. How much sales tax did she pay and what was her final price including tax?
Answer:
Step-by-step explanation:
Sindy paid $5.44 in sales tax, and her total price was $73.44.
Sales Tax: 68 x .08= 5.44
Final Price: 68 + 5.44= 73.44
Answer:
To find sales tax, you need to find the percent of;
$68.00 * 8%
$68.00 * 0.08
= $5.44
$5.44 is the sales tax
Add the sales tax to the original amount:
$68.00 + $5.44 = $73.44
So the final price including tax is equal to $73.44.
A group of 24 students spent 1,296 minutes studying for an upcoming test. What prediction can you make about the time it will take 150 students to study for the test?
It will take them 174 minutes.
It will take them 2,592 minutes.
It will take them 8,100 minutes.
It will take them 8,745 minutes.
Answer:
It will take them 8,100 minutes.
Step-by-step explanation:
If it takes a group of 24 students 1,296 minutes to study for an upcoming test, it takes 54 minutes for each student. (=> 1,296/24 = 54)
150 x 54 minutes = 8,100 minutes.
It will take them 8,100 minutes.
One batch of pink paint uses 2 cups of red paint and 7 cups of white paint.
Mai made a large amount of pink paint using 14 cups of red paint.
How many batches of pink paint did she make?
(P.S. its NOT 49)
Answer:
she made 7 batches.
Step-by-step explanation:
1 batch = 2 cups red & 7 cups white
14 cups of red paint = 7 batches
so it would be 7 batches of pink paint.
7 batches of pink paint is needed. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
What is mathematical expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
An accurate arrangement of mathematical symbols that expresses a coherent notion is a mathematical sentence, which is the mathematical equivalent of an English phrase. Verbs appear in sentences.
In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial. Students must be proficient in computations and the manipulation of algebraic expressions in order to advance and perform well in mathematics. They must also be able to read and write expressions.
Given ,
1 batch of pink paint needed 2 cups of red paint and 7 cups if white paint
14 cups of of red paint
batches of pink paint needed = 14/2
= 7 batches
Therefore 7 batches of pink paint needed.
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1. Use the table to answer the following questions.
Birds: 10 Dogs: 9 Cats: 8 Gerbils: 5
A. What is the ratio of cats to birds in simplest form?
B. Write the ratio from 1a, cats to birds, in word form.
C. What is the ratio of dogs to all the pets sold in simplest form?
D. Write the ratio from 1c, dogs to all the pets, in word form.
2. In a full box of crayons, the ratio of red to blue crayons is 3:5. If there were 36 red crayons, how many blue crayons are in the box?
3. At the zoo, for every 2 seals, there are 7 monkeys. If there are 36 seals, how many monkeys are there?
4. In a flower bouquet, for every 9 carnations there are 6 roses. If there are 24 carnations, how many roses are there to keep the ratios equivalent?
5. The ratio of the number of cups of milk to cups of flour to make the perfect pancake is 2:3. If there is only 9 cups of flour, will 5 cups of milk be enough to make the perfect pancake? Explain why or why not using details from your work.
6. Which ratio is equivalent to 4:9. Explain how you know.
13:27 B) 20:45 C) 16: 40
7. For a project in their health class, Tianna and Avery recorded the amount of milk they drank every day. Tianna drank 4 pints of milk each day and Avery drank 6 pints of milk each day.
A. Write the ratio of the number of pints of milk Tianna drank to the number of pints of milk Avery drank each day.
B. Write the value of the ratio from 7A.
8. There are a total of 18 students in the classroom. There are 10 students wearing glasses. What is the ratio of students wearing glasses to students not wearing glasses?
HELP ME PLS also if u do- can u pls put all the answers in order pls ; - ;
Answer:
9:10
Step-by-step explanation:
At the zoo, 1/3 of the animals are mammals. 1/4 of the mammals are elephants. What fraction of the animals at the zoo are elephants?
awnser choices:
1/12
1/7
2/4
2/3
Answer: 1/12
Step-by-step explanation:
1/3 x 1/4 = 1/12
i need help on this 3 answers plz
4837.45 x 10³ =
A. 4.83745
B. 483.745
C. 483,745
D. 4,837,450
solve for t
7t–8=10+2t
Answer:
t=18/5
Step-by-step explanation:
7t-8=10+2t
+8 on both sides
7t-8+8=10+2t+8
combine like terms
7t=18+2t
-2t on both sides
7t-2t=18t+2t-2t
combine like terms
5t=18
divide by 5
5t/5=18/5
t=18/5
someone give me step by step?
(24) points given! (this is 7th-grade math, ixl)
sorry, i have another math question. ugh! :(
Answer:
Y=1/2x-2
Step-by-step explanation:
help plssss will give brainlyst
Answer:
-5 ,-4, -3,-2,-1,0,1,2,3,4
Step-by-step explanation:
I acnt draw anything put that in order of the number line
The graphs show the distances traveled by two bikers riding at constant rates.
Drag to the table the unit rate that matches each graph.
Tell me if you cant see the picture! UwU
Select all the equations that have {4} as its solution set. 5 + 2x = 3x + 37−x=12x79−3x=12x+19x2+3=10x−21
5 + 2x = 3x + 3
7−x=12x
79−3x=12x+19
x2+3=10x−21
Answer:
Option 3 (79−3x=12x+19)
Step-by-step explanation:
When replacing x with 4 you will get the answer 67 = 67, which is true! The other three options are not true when replacing x with 4.
Equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.
Given that, the equations that have {4} as its solution set.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
1) Solution of an equation 5 + 2x = 3x + 3 is
3x-2x=5-3
⇒x=2
2) Solution of an equation 7−x=12x is
7−x=12x
⇒12x+x=7
⇒13x=7
⇒x=7/13
3) Solution of an equation 79−3x=12x+19 is
12x+3x=79-19
⇒15x=60
⇒x=4
4) Solution of an equation x²+3=10x−21 is
x²+3=10x−21
⇒ x²-10x+24=0
⇒ x²-6x-4x+24=0
⇒ x(x-6)-4(x-6)=0
⇒ (x-6)(x-4)=0
⇒ x=6 or 4
Therefore, equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.
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The heights, in feet, of the trees for sale at two nurseries are shown below.
Yard Works: 7, 9, 7, 12, 5
The Grow Station: 9, 11, 6, 12, 7
Which statements are true regarding the measures of center and variability of these data sets? Select three choices.
A. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
B. The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
C. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
D. The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
E. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
The statements that are true regarding the measures of center and variability of these data sets include:
A. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
C. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
E. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
How to calculate the mean of any data set?In Mathematics and Statistics, the mean for any set of data can be calculated by using the following formula:
Mean, \bar{x} = ∑x/n
Where:
∑x represents the sum of all data values.n represents the total number of data items.Based on the information provided, we have:
Mean of Yard Works = (7+9+7+12+5)/5
Mean of Yard Works = 8.
Mean of Grow Station = (9+11+6+12+7)/5
Mean of Grow Station = 9.
Range is the difference between the maximum and minimum numbers;
Range of Yard Works = 12 - 5
Range of Yard Works = 7.
Range of Grow Station = 12 - 6
Range of Grow Station = 6.
Mean absolute deviation is given by;
MAD = 1/n ∑|x - μ|
Where:
n represents the number of data (observed values)μ represents the mean of the data set.x represents the individual data (values)Mean absolute deviation of Yard Works = 2
Mean absolute deviation of Grow Station = 2.
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drinking water from a glass. What represents the volume and what represents the surface area?
Help me please il give 20 points!
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
Help Please I will give Brainliest and 14 Points!!
Answer: Switch the numbers in both points and change the negative numbers in all three points to positive
Step-by-step explanation:
The water level in a glass decreases 0.4 cm each hour due to evaporation. At the beginning of the experiment, the water level is 12.6 cm.
Let x represent time, in hours, elapsed since the beginning of the experiment and let y represent the water level, in centimeters.
Part A
Construct a linear function, using x and y from above, that determines the water level at a given time, in hours, after the experiment begins.
Part B
How many hours does it take for all of the water to evaporate?
Answer:
Part A
12.6 - 0.4x = y
Part B
x = 31.5
Step-by-step explanation:
Part B
12.6 ÷ 0.4 = 31.5 hours
y=12.6-0.4x is the required linear equation and it takes 31.5 hours to completely evaporate the water in glass.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that in the beginning of the experiment, the water level is 12.6 cm.
The water level in a glass decreases 0.4 cm each hour
Let x represent time, in hours, elapsed since the beginning of the experiment and let y represent the water level, in centimeters.
We need to find the linear function, using x and y from above, that determines the water level at a given time, in hours, after the experiment begins.
y=12.6-0.4x
We need to find how long will it take to for all of the water to evaporate.
12.6/0.4 = 31.5 hours
Hence, y=12.6-0.4x is the required linear function and it takes 31.5 hours to completely evaporate the water in glass.
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You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation: