Thomas bought 6 plastic cups and 6 glass cups.
For given question,
Let a be the number of glass cups and b be the number of plastic cups.
Thomas bought 12 glass cups and plastic cups.
So, we get an equation
a + b = 12 .................(1)
The glass cups cost $3.25 and plastic cups cost $2.75
Thomas spent a total of $36
From this information we get equation,
3.25 a + 2.75 b = 36 ............(2)
We have a system of equations.
From equation (1),
a = 12 - b .............(3)
Substitute above value of a in equation (2)
3.25 (12 - b) + 2.75 b = 36
39 - 3.25 b + 2.75 b = 36
39 - 0.5 b = 36
-0.5 b = -3
b = 6
This means, Thomas bought 6 plastic cups.
Substitute above value of b in equation (3)
So, a = 12 - 6
a = 6
Thomas bought 6 glass cups.
Therefore, Thomas bought 6 plastic cups and 6 glass cups.
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g(x)= x²-x-12/x²-4x+4
find g(2)
Step-by-step explanation:
g(2)=((2)²-2-12)/((2)²-4(2)+4)
=4-2-12/4-8+4
=-10/0=undefined
How many sisters does Carly have
Answer:
she has 2 sisters; lucy simon and joanna simon
Step-by-step explanation:
Is the question ''how many cars were sold each day this month'' statistical or not?
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.
The given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.
What are statements and conclusions?Logical reasoning essentially consists of a statement and a conclusion. In this part, a claim and several inferences will be made. It is necessary to select the statement's logically following conclusion.
Given that If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.
From the given statement it is concluded that Dante obtained a part-time job which means that he is financially stable now to pay for the car.
Therefore, the given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.
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hi pls help i do not understand
Answer: A & D
Step-by-step explanation:
A & D both are correct
the normal model n(58,21) describes the distribution of weights of chicken eggs in grams. suppose that the weight of a randomly selected chicken egg has a z-score of -2.01. what is the weight of this egg in grams? round to the nearest hundredth of a gram.
The weight of the egg is 15.79 grams.
Normal Distribution:
Normal distribution, refers the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Given,
The normal model n(58,21) describes the distribution of weights of chicken eggs in grams.
suppose that the weight of a randomly selected chicken egg has a z-score of -2.01.
Here we need to find the weight of the egg and we have to round off it to the nearest hundredth of gram.
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
So,
X ~ n(58, 21)
Where this means the value of
σ = 21
[tex]\mu[/tex] = 58
Apply the values on the formula,
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
=> -2.01 = (x - 58) / 21
=> -2.01 x 21 = x - 58
=> -42.21 + 58 = x
=> x = 15.79
So, the weight of the egg is 15.79 grams.
When we round off it to the nearest hundredth then we get,
=> 15.79
Because there is no hundredth term in this one.
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Can someone help me with this question? Thanks.
Answer:
5 pounds I think hope this helped :)
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
A parallelogram has a base of 3 inches and a height of 7 inches. What is its area?
Answer:
21 cm square
Step-by-step explanation:
Base x Height = Area
Area = 3 x 7 = 21 cm square.
Awnser oooooopppndhdhdh
Answer:
x<212
Step-by-step explanation:
Because < means that x is less than 212
What is the midpoint of the segment shown below?
Answer:
A. 5, 1/2
Midpoint formula: (x1+x2)/2, (y1+y2)/2
5 + 5 / 2 = 5
4 + -3 / 2 = 0.5
therefore it is
(5, 1/2)
Consider the number 7,123,456.
a. Approximate the number by rounding to the nearest million.
Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.
What is approximation?Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.
If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.
Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.
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find the domain rang and function
Answer:1,1 0
Step-by-step explanation:
Solve the equation
-2 = 2 + v/4
The simplification of the equation - 2 = 2 + v/4 is v = - 16.
Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.
Consider the equation,
-2 = 2 + v/4
The equation can be rewritten as:
-2 = 2/1 + v/4
The least common multiple or LCM of 1 and 4 is 4.
-2 = ( 2 × 4) / (1 × 4) + v /4
-2 = 8/4 + v/4
-2 = ( 8 + v) /4
Multiplying each side of the equation by 4
- 2 × 4 = [ ( 8 + v ) / 4 ] × 4
- 8 = 8 + v
Subtracting each side of the equation by 8.
- 8 - 8 = 8 + v - 8
v = - 16
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Solve the math problem
Answer:
there................
Given y = 6x + 7, what is the value of y when x = -3?
Answer:
y=-11
Step-by-step explanation:
Answer:
y = - 11
Step-by-step explanation:
y=6x+7
y=6*(-3)+7
y=-18+7
y=-11
Help ASAP! PLEASE!
The data set shows the numbers of hours that college students studied in one month.
What is the mean number of hours they studied in one month? Round answer to the tenths place. If answer is
a whole number then include a zero in the tenths place to have answer counted correct.
50, 68, 67, 97, 22, 19
Answer:
53.8
Step-by-step explanation:
Question is asking for the mean, mean is basically the average of all the values. To calculate the mean you add all the values together and divide by how many values there are.
Add all values together you get 323
Since you have 6 values we do 323÷6
Which will give us 53.83
Rounded would be 53.8
Which region represents the solution to the given system of inequalities?
[x < -1/2 x
v≥ 2x+3
B
-5-4-3
C
5
4
3
-
-1₁
L2
-3-
4
-5
D
A
-2 3
4
5 X
Answer:
أنا بصراحة لا أعرف
Step-by-step explanation:
[x < -1/2 x
v≥ 2x+3
B
-5-4-3
C
5
4
3
-
-1₁
L2
-3-
4
-5
D
A
-2 3
4
Traveling at an average rate of between 40 and 50 miles per hour for 3 to 4 hours, select the best estimate for the distance traveled.
Answer:
Step-by-step explanation:
Take average speed to be (40+50)/ 2 = 45 mph.
Then estimate of distance travelled
= 45 * 3.5
= 160 miles.
what is the volume of a circle with a diameter of 2 inches
Answer:
Volume = 4 πr3 3= 4 ×π×43 3
= 268.08257310633 feet3
Step-by-step explanation: I really hope this helps please let me know if i am wrong hope u have a good day (:
3÷4 1/2
I'm trying to learn math easyer then how they teach in class_school
Answer:
3÷4= 0.75 then,
1/2=0.5
Step-by-step explanation:
Hope it was helpful.
Heidi and Dan signed up for a cell phone plan with a brand new company called Bolt.
The price for 30 gigabytes of data and unlimited talk and text is $55.
Each phone costs $19 per month.
Taxes are $9.50 per month.
What is the cost for their current plan?
The cost for their current plan is $83.5
How to write and solve the cost for their current plan?The given parameters are
Price for 30 gigabytes of data and unlimited talk and text = $55.
Phone costs = $19 per month.
Taxes = $9.50 per month.
The equation of the cost for their current plan is represented as:
Total cost = Price for 30 gigabytes of data and unlimited talk and text + Phone costs + Taxes
So, we have
Total cost = 55 + 19 + 9.50
Evaluate the sum
Total cost = 83.5
Hence, the cost for their current plan is $83.5
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write an equation of the line containing the given point and parallel to the given line. express your answer in the form ymxb. (,); xy
Answer:
cool cool
Step-by-step explanation:
cool
what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.
The area of a triangle with the given set of vertices is 12 square units, which is obtained using the concepts of coordinate geometry and the area of triangles.
What is the area of a triangle?
The area of a triangle is defined as the total region bounded by the three sides of a triangle. For a right-angled triangle, the area is given by ½ * (base * height).
Calculation of the area of the given triangle
Given:
P(7,6), Q(1,6), R(4,2) be the three vertices of a triangle PQR
Let PQ be the base parallel to the x-axis
b = 7 - 1 = 6
And altitude is the difference of y coordinates of the point Q and R, h = 6 - 2 = 4
The area of triangle PQR is equal to half the product of base and height
Area = (6 × 4) / 2
= 24 / 2
= 12 square units
Hence, the area of the triangle with given vertices is 12 square units.
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I need help badly please help
Step-by-step explanation:
these are the answers. ignore the scribbles :)
Convert 30 kilograms into gram
The diameter of a circle is 30 ft. Find its area to the nearest whole number
Answer:
use air math it helps alot!
Step-by-step explanation:
Pleeeeeease this is my second time asking, I need help.
The value of x in the figure is 4
How to determine the value of x in the figure?From the attached figure, we have the following parameters:
DE = x + 1
BC = 4x - 6
The triangles ADX and ABC are similar triangles
Based on the representation of the sides, we have:
BC = 2 * DE
So, we have
2 * (x + 1) = 4x - 6
Expand
2x + 2 = 4x - 6
Evaluate the like terms
2x = 8
Divide by 2
x = 4
Hence, the value of x in the figure is 4
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Solve for X I need help please
Answer:
15
Step-by-step explanation:
The plane is 180 degrees, all you need to do is subtract 60 then divide the answer by 8.
(180-60)/8=15
This is 7th grade math bro
-4/-9, 11/12, -21/-18, 1/6 in ascending order. i really need this answerr please
Ascending order is 1/6< -4/-9< 11/12 < -21/ -18.
Here the fraction is -4/-9, 11/12, -21/-18, 1/6.
To know write the fraction in its ascending form, and convert the fraction into it's decimal form.
Therefore we have,
-4/-9 = 4/9 = 0.44
11/12 = 0.916
-21/-18 = 21/18 = 7/ 6 = 1.16
1/6 = 0.16
Therefore ascending order is 0.16< 0.44< 0.916 < 1.16. That is 1/6< -4/-9<11/12 < -21/-18.
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