Answer:
II. One and only one solution
Step-by-step explanation:
Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.
Let assume the equation is given as;
x + 3y = 11 .... 1
x - y = -1 ....2
Using elimination method
Subtract equation 1 from 2
(x-x) + 3y-y = 11-(-1)
0+2y = 11+1
2y = 12
y = 12/2
y = 6
Substitute y = 6 into equation 2:
x-y = -1
x - 6 = -1
x = -1 + 6
x = 5
Hence the solution (x, y) is (5, 6)
Hence we can say the equation has One and only one solution since we have just a value for x and y
At a bakery every 4th coustmer recives a free cookie snd every 10th customer recives a free drink. Which customer will be the first to recive a free cookie and a free drink
Answer:
40th costumer
Step-by-step explanation:
The 40th costumer will receive a free cookie and drink. You need to find factors of 4 and factors of 10. Then when you find 4 and 10 have the same factor that’s your answer. So you do 4,8,16,24,32,36,40,44,48, etc. (counting up by 4) now do it to 10,20,30,40,50,60,70, etc. (counting up by 10) Now you notice that the first number that is the same is 40. So that means the 40th costumer will be the first one to receive a free drink and cookie.
Customer first to receive a free cookie and a free drink is 20th number customer
Given that;Number of customer received free cookie = 4th
Number of customer received free drink = 10th
Find:Customer first to receive a free cookie and a free drink
Computation:Customer first to receive a free cookie and a free drink = LCM of 4 and 10
Customer first to receive a free cookie and a free drink = 20th number customer
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please help!!!
W +2/3 = -1/6
simplify your answer as much as possible
solve for W
Answer:
w= -5/6
Step-by-step explanation:
That the right answer
A random sample of house sizes in major city has a sample mean of 1204.9 square feet and a sample standard deviation of 124.6 square feet. Use the Empirical rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet. Round your answer to the nearest whole number (percent).
Answer:
95% of house sizes lie between 955.7 and 1454.1 square feet.
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
In the above question,
Mean (μ)= 1204.9 square feet
Standard deviation (σ) = 124.6 square feet.
We are to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet.
Step 1
We have to find the number of standard deviation from the mean
μ – xσ
1204.9 - 124.6x = 955.7
1204.9 - 955.7 = 124.6x
249.2 = 124.6x
x = 249.2/124.6
x = 2
μ + xσ
1204.9 + 124.6x = 1454.1
124.6x = 1454.1 - 1204.9
124.6x = 249.2
x = 249.2/124.6
x = 2
Therefore from the calculation above, it is 2 standard deviations from the mean, hence: from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ
4200 with a 35%markdown
Answer:
2,730
Step-by-step explanation:
4200 x 0.35 = 1470, 4200 - 1470 = 2730
Answer:
35% markdown of 4200 mean;
4200 - 35% of 4200
= 4300 - 1470 = 2730
Boden's account has a principal of $700 and a simple
interest rate of 3.7%. Complete the number line. How much
money will be in the account after 4 years, assuming Boden
does not add or take out any money?
Answer:
823.2
Step-by-step explanation:
Interest = 700 × 4.4/100 × 4 = 123.2
Balance = Principle + interest
700 + 123.2 = 823.2
Answer - 823.2
Hope this helps!!!
Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.
Answer:
2.14
Step-by-step explanation:
2.14x24=51.36
Before your trip to the mountains your gas tank was 7/9 full. When you returned home, the gas gauge registered 1/3 of a tank. If your gas tank holds 18 gallons did you use to drive to the mountains and then back home?
1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?
a) The slope of the function is 110, and it represents the change in net profit per product sold.
b) The slope of the function is 140, and it represents the initial operating costs of the business
c) The slope of the function is 110, and it represents the initial operating costs of the business.
d) The slope of the function is 140, and it represents the change in net profit per product sold.
The sum of 7 and the cube of a number.
Answer:
7+x3
Step-by-step explanation:
Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.
Which mapping diagram does not represent a function?
Answer:
A.
Step-by-step explanation:
The definition of a function is that each input has only 1 output. That does not mean that 2 different inputs can not have the same output. A. shows that the number 3 has 2 outputs. My explaining is not that good but trust me.
Use the figure to find the measure of the angle.Explain your reasoning.
angle2=180-152=28
angle3=28
angle4=152
angle5=152
angle6=28
angle7=28
angle8=152
The values of the marked angles: angle 2, angle 3, angle 4, angle 5, angle 6, angle 7, angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.
What is an angle?When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.
Given, angle 1 = 152°
We know, angle 1 + angle 2 is 180°. (supplementary angles)
Therefore, angle 2 = (180° - 152°) = 28°.
Again, angle 2 = angle 3. (opposite angles)
Therefore, angle 3 = 28°.
Similarly, angle 1 = angle 4
Therefore, angle 4 = 152°.
Now, angle 1 = angle 5 (corresponding angle)
Therefore, angle 5 = 152°.
Now, angle 2 = angle 6 (corresponding angle)
Therefore, angle 6 = 28°.
Now, angle 3 = angle 7 (corresponding angle)
Therefore, angle 7 = 28°.
Now, angle 4 = angle 8 (corresponding angle)
Therefore, angle 8 = 152°.
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The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.
Answer:
its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)
Two way frequency table: Pairs categorical values to list frequencies
Step-by-step explanation:
For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.
Lunch Bevarage
genders Juice. Milk. Water. Total
Girl : 10 13 17 40
Boy: 15 24 21 60
Total: 25 37 38 = 100
Find the missing length.
9)
?
5
14
(Click on the picture)
A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph of the equation is shown. Describe what the slope and y-intercept represent.
Answer:
y-intersept is the design fee
An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?
Answer:
240
Step-by-step explanation:
Answer:
240 calories
Step-by-step explanation:
3,840 divided by 16 is 240 :)
IM MARKING BRAINLIEST
Robert wants to make a scarf and matching hat for his sister. The patterns call for 4/6 yard of fabric for the scarf and 1/6 yard of fabric for the hat. How much fabric should robert buy?
5/6 yards
Step-by-step explanation:
[tex] \frac{1}{6} + \frac{4}{6} = \frac{5}{6} [/tex]
Answer:
5/6 yards of fabric
Step-by-step explanation:
4/6 yards + 1/6 yards = 5/6 yards
Hi I rlly could use some help with this! I'm not the best at math and I'm rlly struggling with this assignment its a couple questions long! I will give brainiest and 10 given points!
Info:In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
1.The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.
2.The equation you wrote in part A accounts for money collected. However, it does not account for the money the baseball team spent to set up the car wash. What do you need to do to the equation in part A to account for the setup cost?
3.Now that you have an idea of how much money the baseball team will collect and how much it will spend, you’re ready to write an equation modeling the situation. Write an equation representing the profit made on the car wash in dollars, y, in terms of the number of cars washed, x, after expenses.
4.You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents this value? What does the y-value of this point mean in terms of the problem?
5.The baseball team will break even when the amount of money it has received equals the amount of money it spent. In other words, the team breaks even when the profit is equal to zero. How many cars does the baseball team have to wash to break even? What point represents this value? What does the x-value of this point mean in terms of the problem?
Pls help!!!
1. Let y represent the amount of money earned, and x the number of cars they wash. Then
y = 5x
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
y = 5x - 75
4. When x = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for x :
5x - 75 = 0
5x = 75
x = 75/5
x = 15
So the team has to wash at least 15 cars to break even.
Answer:
The setup cost is $75. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A.
Step-by-step explanation:
Which expression is equivalent to 8(x + 2)?
(A was wrong) C 8x + 16
B 8 + x + 8 + 2 D 8x + 10
if f(x) = x^2 + 2, which interval describes the range of this function
The interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).
What is domain and range of function?
Domain of a function is the set of all the possible input values which are valid for that function. Range of a function is the set of all the possible output values which are valid for that function.
The given function is,
[tex]f(x) = x^2 + 2[/tex]
The domain of this function is all real numbers. As the quadratic function has the constant value of 2. The vertex of the function is at 0,-2. Thus, the range of this function is,
[tex]y\in R, y\geq -2[/tex]
Thus, the interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).
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Solve for x. Round to the nearest tenth.
Answer:
x = 9.6
Step-by-step explanation:
3) In what quadrant is the point (5, −8) located?
A) I
B) II
C) III
D) IV
Answer:
D) Quadrant IV
Answer:
Quadrant IV
Step-by-step explanation:
Given an array of points:
Quadrant I := [x > 0, y > 0]
Quadrant II := [x < 0, y > 0]
Quadrant III := [x < 0, y < 0]
Quadrant IV := [x > 0, y < 0] (our case)
in [tex]P(5, -8)[/tex] [tex]x > 0, y < 0[/tex]
So how do I graph y=2/5x+3
Write the equation of the line that has a slope of 8 and passes through the point (9, -1).
Answer:
Y=8x-9
Step-by-step explanation:
The slope of a line on the coordinate plane can be calculated using any two points on the line and one outside point.
O True
O False
Answer:
true i think
Step-by-step explanation:
what is the equation of the line in slope intercept form.
christian has six grades from tests and IXL. they are all weighted equally. if christian grades are 100,96,96,88,70 and 100, what is the current average grade (round to the nearest whole number)
Answer:
His average grade would be 91.6... (or 92% if you're rounding up)
Step-by-step explanation:
Add 100, 96, 96, 88, 70, and 100 to get 550, then divide by 6 because there are 6 total grades.
Help me ASAP plssssssss
Answer:
crackhead
Step-by-step explanation:
he plays to much and needs exercise
Answer:
can you help me with my recent question??? pleaseeee
Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?
-1 1/8, -3/4, -1/2, 3/8
-1/2, -3/4, 1 1/8, 3/8
3/8, 1 1/8, -3/4 , -1/2
Answer:
the first one
Step-by-step explanation:
because the negative number is the least, and the positive is the greatest
Ms. cooper goes to Panera Bread for dinner and orders the Green Goddess salad. Her total was $8.79. Ms. cooper gave the cashier $10, how much change did she receive?
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smal number
1. Define the variables: x = smaller number and y = larger number
2. Identify the key words: more than (addition), times (multiplication), is (equals)
3. Write the equations.
Which equation represents a larger number that is 2 more than 4 times a smaller number?
x=2+4y
x=4+2y
x=2+4x
y=4+2x
Which equation represents a larger number that is 8 more than 2 times a smaller number?
x=8+2y
x=2+8y
y=2+8y
y=8+2x
Answer:
ad
Step-by-step explanation:
Answer:
C and D
Step-by-step explanation: