Answer:
True
Step-by-step explanation:
The base angles of an isosceles triangle are equal.
The sum of the 3 angles in a triangle = 180°, thus
vertex angle = 180° - (55 + 55)° = 180° - 110° = 70°
Subtract 5m-2 from m-7
Answer:
-4m-5
Step-by-step explanation:
The trick here is knowing not to combine terms with variables with terms that don't have variables.
[tex]m-7-(5m-2)\\m-7-5m+2\\m-5m-7+2\\-4m-5[/tex]
So the answer is -4m-5
Answer:
-4m - 5Step-by-step explanation:
[tex](m-7)-(5m-2)\\\\=m-7-5m-(-2)\\\\=m-7-5m+2\qquad\text{combine like terms}\\\\=(m-5m)+(-7+2)\\\\=-4m-5[/tex]
On average the number of electronic keyboards sold in California each year is equivalent to seven times the average number sold yearly in Wyoming. If, on average,
there are 98,749 electronic keyboards sold each year in California, how many are sold in Wyoming?
Keypad
Answer:
14107 sold in Wyoming
Step-by-step explanation:
98749 / 7
Final answer:
To find out how many keyboards are sold in Wyoming when the number sold in California is given, divide the California sales by 7. Resulting in 14,107 keyboards sold in Wyoming
Explanation:
Mathematics:
The average number of electronic keyboards sold in California each year is seven times the average number sold yearly in Wyoming. If 98,749 keyboards are sold in California, you can find out how many are sold in Wyoming by dividing the number sold in California by 7.
Step-by-step explanation:
98,749 keyboards sold in California / 7 = Number of keyboards sold in Wyoming
98,749 / 7 = 14,107 keyboards sold in Wyoming
A school district purchased 615 new laptops for their mobile labs. Each computer cost $409. What is the total cost for all of the laptops?
Answer: $251,535 is the total cost for all the laptops.
Step-by-step explanation:
615×409= 251,535
Answer:
[tex]total\ cost=\$251,535[/tex]
Step-by-step explanation:
For this exercise it is important to analize the information provided in the exercise.
According to the exercise, the of cost each computer is:
[tex]cost=\$409[/tex]
You know that the school district purchased 615 new laptops for their mobile labs; therefore, in order to calculate the total cost for all the laptops purchased, you must multiply the cost of one laptop ($409) by 615.
Therefore, you get that the total cost is the following:
[tex]total\ cost=(\$409)(615)\\\\total\ cost=\$251,535[/tex]
Anna has the following averages in his math class.
REPORT
CARD
Homework Avg: 95
Quiz Avg: 90
Test Avg: 87
Final Exam: ?
If the teacher weights homework at 20%, Quizzes at 20%
Tests at 40% , and the final exam at 20%, what is the
minimum grade Anna can make on the final so that she
scores a 90 in the class?
a. 86
b. 91
C.
d
94
98
Answer:
b) 91
Step-by-step explanation:
Step 1: Multiple marks by its weights
Homework average: 95 x 20% = 19
Quiz average: 90 x 20% = 18
Test average: 87 x 40% = 34.8
Final exam: y x 20% = 0.2y
Step 2: Add all weighted averages and find y
19+18+34.8+0.2y = 90
71.8 + 0.2y = 90
y = 18.2/0.2
y = 91
Therefore, Anna needs to score minimum 91 in the final exam so that she can score a 90 in class.
Option b is correct.
!!
Estimate 815-281 to get the answer
Answer:800-300
Step-by-step explanation:
since there is a 1 after the 8 it would go down to 800 and there is a 8 after the 2 so it would go up to 300
Answer:
The estimated answer is 780.
Step-by-step explanation:
Given : Expression [tex]815-28[/tex]
To find : Estimate the expression ?
Solution :
Estimation is to approximate the number to its nearest value for making calculation easier.
Estimate 815 as 810.
Estimate 28 as 30.
So, Substituting these values
[tex]810-30=780[/tex]
Therefore, The estimated answer is 780.
Which is the graph of g(x) = x - 16?
Answer: See attached graph
How many times does the quadratic function below intersect the x-axis?
y = 2x2 +7x+6
Answer:
once
Step-by-step explanation:
since the equation is liner, with x simply to the first power, it will only cross the x axis once. x^2 would cross the x axis twice, x^3 would cross it three times, and so on
Given quadratic function [tex]y = 2x^{2} +7x+6[/tex] intersects the x-axis two times.
What is quadratic function?" Quadratic function is defined as the function which has variables with highest degree two."
According to the question,
Given quadratic function,
[tex]y = 2x^{2} +7x+6[/tex]
If quadratic function intersect x-axis value of [tex]y=0[/tex] we have,
[tex]2x^{2} +7x+6 =0\\\\\implies 2x^{2} + 4x+3x + 6=0\\ \\\implies 2x(x+2) + 3(x+2)=0\\\\\implies (2x+3) (x+2)=0\\\\\implies 2x+3 =0 \ or \ x+2=0\\\\\implies x = \frac{-3}{2} \ or \ x =-2\\\\\implies x = -1.5 \ or \ x =-2[/tex]
As shown in graph , quadratic function intersect x-axis at two points [tex](-2,0)[/tex] and [tex](-1.5,0)[/tex].
Hence, given quadratic function [tex]y = 2x^{2} +7x+6[/tex] intersects the x-axis two times.
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through a point not in a plane are an infinite number of lines parallel to the plane always sometimes never
Answer:
sometimes
Step-by-step explanation:
i think sometimes
Answer:
ALWAYS!!
Step-by-step explanation:
Nine less than a number is between 3 and 8. Find the range of numbers that make this true.
Answer:
The range of the numbers make this true is (12 , 17)
Step-by-step explanation:
Lets explain how to solve the problem
The statement is:
→ Nine less than a number is between 3 and 8
Assume that the number is x
∵ The number is x
∴ Nine less than a umber is x - 9
→ The difference is between 3 and 8
∴ 3 < x - 9 < 8
∴ Nine less than a number is between 3 and 8 ≡≡≡ 3 < x - 9 < 8
Lets solve the inequality to find the range of x
∵ 3 < x - 9 < 8
Add 9 to each side
∴ 3 + 9 < x - 9 + 9 < 8 + 9
∴ 12 < x < 17
∵ There is no mention about the type of the number that is integer or
rational number or real number
∴ The range of x is any number between 12 and 17
The range of the numbers make this true is (12 , 17)
Remember you can use any number between 12 and 17 but you
cannot use 12 or 17
The range of numbers that make this true is (12, 17).
Let the numbers be represented by x.
Therefore, based on the information given, the number will be:
x - 9 = 3
x = 3 + 9
x = 12
The first number is 12.
x - 9 = 8.
x = 8 + 9
x = 17
Therefore, the range of numbers that make this true is (12, 17).
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Which point represents the ordered pair (2, -4)? A B C D
Six times a number equals 3 times the number, increased by 12. Find the number
Answer:
x=4
Step-by-step explanation:
"A number" can be rewritten as X:
6x=3x+12
1) subtract 3x on both sides:
3x=12
2) divide both sides by 3:
x=4
Identify the irrational sum(s). Select all that apply.
Answer:
The first one and the second one. Square root of 9 plus the square root of 7, and 10 plus Pi.
Step-by-step explanation:
Josh used an algorithm to find the product for 9x 239. His work is shown below is josh work correct? Explain
239
x9
1800
270
+81
2,151
Answer:
No
Step-by-step explanation:
His work is NOT correct. Please use the picture above ^^
Answer:
Step-by-step explanation:
Answer:
Yes, Josh's work is correct.
Explanation:
He is multiplying the place value of each digit by nine and then adding the products.
9 × 2 hundreds = 18 hundreds
9 × 3 tens = 27 tens
9 × 9 ones = 81 ones
The diagram below shows how the place values line up.
use the data set to choose the two measures that are equivalent. 4,5,6,7,8
Median
Mode
mean
Answer:
Mean and the Median are equivalent.
Step-by-step explanation:
The median = the middle number = 6.
The mean = (4+5+6+7+8) / 5
= 30/5
= 6.
There us no mode.
A bag contains 6 blue marbles, 4 red marbles, and 2 yellow marbles. What is the probability of selecting a blue marble, replacing it, then selecting another blue marble?
A. 1/4
B. 1
C. 30/144
D. 36/121
E. 30/121
A rectangle has a length of 27 feet less than nine times its width. If the area of the rectangle is 972 find the length of the rectangle
The length of Rectangle is 81 feet's.
We have a rectangle which has a length of 27 feet less than nine times its width and the area of the rectangle is 972.
We have the length of the rectangle.
State the formula to calculate the Perimeter and Area of Rectangle?The Area of a Rectangle = A = L x B
The Perimeter of a Rectangle = P = 2(L + B)
According to the question, we have -
Area = 972 square feet's.
Let the length of rectangle be x and width be y.
Then -
x = 9y - 27
Now -
Area = 972
xy = 972
y(9y - 27) = 972
9y(y - 3) = 972
y(y - 3) = 108
[tex]$y^{2} -3y -108 = 0[/tex]
(y - 12)(y + 9) = 0
y - 12 = 0 or y + 9 = 0
y = 12 or y = - 9
But width cannot be negative. Therefore -
y = 12.
Now, length = x = 9y - 27 = 12 x 9 - 27 = 108 - 27 = 81.
Hence, the length is 81 feet's.
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What is 5.9 rounded to
Answer:
6
Step-by-step explanation:
7.
A holiday meal cost $12.50 a person plus a delivery fee of $30.
Which equation represents the amount a holiday meal
costs(y), including delivery, for x people?
Answer:
12.50x+30
Step-by-step explanation:
Answer:
[tex]y = 12.5x + 30[/tex]
Step-by-step explanation:
We are given the following information in the question:
Cost of a holiday meal = $12.50
Delivery fee = $30
Cost(y) represents the amount a holiday meal including delivery for x people.
[tex]cost = (\text{Cost of meal}\times x) + \text{Delivery chareges}[/tex]
Putting all the values,
[tex]y = 12.50\times x + 30\\y = 12.5x + 30[/tex]
The above equation gives the total amount of holiday meal for x people including the delivery charges.
Julian saved between $ 30 and $ 52 over the summer. His friend Daniela saved twice as much. Let n represent the amount of money Julian saved. Write and solve an inequality to represent the amount of money Daniela saved.
Answer:
$60 - $104
Step-by-step explanation:
Based on what we know, we double $30 and double $52 which gives us $60 and $104. As we don't know the exact number we need to double we do that. This tells us that Daniela saved between $60 - $104.
If Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
It is given that,n represents the amount of money and Julian saved between $ 30 and $ 52 over the summer.
The inequality represents the amount saved by Julian is,
$ 30<n<$ 52
If Daniela saved twice as much then he saved the amount between $ 60 and $ 104.If n shows the inequality for the amount Daniela saved then the inequality is shown as,
$ 60<x<$ 104
Thus, if Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.
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What is the solution of the following system?
-2x-y=1
-4x-2y=-1
A. infinitely many solutions
B. no solutions
C. (3,8)
D.(-3,-8)
B
when we multiply the equation and subtract equatio 2 from equation 1 the result is 0=-4 and 0=2
Answer: The correct option is
(B) no solution.
Step-by-step explanation: We are given to find the solution of the following system of equations :
[tex]-2x-y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-2y=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
From equation (i), we have
[tex]-2x-y=1\\\\\Rightarrow y=-2x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of y from equation (iii) in equation (ii), we get
[tex]-4x-2(-2x-1)=-1\\\\\Rightarrow -4x+4x+2=-1\\\\\Rightarrow 2=-1,[/tex]
which can never be possible.
Thus, the given system of equations have no solution.
Option (B) is CORRECT.
Which of the following represents the additive identity?
1. ab = ab
2. a x 1 = a
3. a+b = b+a
4. a + 0 = a
Answer:
4. a + 0 = a
Step-by-step explanation:
The zero means that it is the additive property.
Answer:
a + b = a
Step-by-step explanation:
Additive identity- the number 0; when added to any number, the value of the number does not change.
In a community garden (shown to the right) you want to plant and fence in a vegetable garden that is adjacent to your friend’s garden. You have at most 54 ft of fence, and the fence must surround all four sides of your garden. What are the possible lengths of your garden
To find the possible lengths of the garden, use the perimeter formula and solve the inequality x <= 27 ft.
Explanation:To find the possible lengths of your garden, you need to determine the perimeter of the garden. Since you have at most 54 ft of fence, the perimeter must be less than or equal to 54 ft.
Let's assume the length of your garden is 'x', then the width would be (54 - 2x)/2.
The perimeter formula is P = 2L + 2W, so substituting the values we have, 2x + 2[(54 - 2x)/2] <= 54.
Simplifying this inequality, we get x + 54 - 2x <= 54. Solving for 'x', we get x <= 27.
Therefore, the possible lengths of your garden are any value less than or equal to 27 ft.
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can somebody please help me with this question? i can't figure it out
Answer:
(5, 2), (14, -7), (5, -16), (-4, -7)
Step-by-step explanation:
There is an infinite number of possibilities. However, I suspect "they" are thinking of integral coordinates and equally spaced points.
In that case, you could move up nine units to (5, 2).
This puts eight points between A and B. I have numbered them in the diagram below.
Any point on a circle with radius 9 and centred at (5, -7) is 9 units from A, but only these four points have integral coordinates for themselves and for the points in between:
Up from A: (5, 2)
To the right: (14, -7)
Down from A: (5, -16)
To the left: (-4, -7)
An article fills 5/8 of a magazine page. A
related photo takes up 1/4 of the article. How
much of the page is taken up by the photo?
Answer:
35
Step-by-step explanation:
bundles tundra dismay chard bff dusk m u
Based on the given information, the photo takes up 5/32 of the page.
How much of the page is taken up by the photo?To find out how much of the page is taken up by the photo, multiply the fraction representing the article's portion of the page (5/8) by the fraction representing the photo's portion of the article (1/4).
First, calculate the fraction representing the photo's portion of the page:
(5/8) * (1/4) = 5/32
Therefore, the photo takes up 5/32 of the page.
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What is the base of the triangle when the area is 120ft and the height is 8ft
The base is 30.
Hopefully I got this correct, not 100%
Answer: 30 ft
Step-by-step explanation:
Area of a triangle= (bh)/2
* multiply both sides by 2
2A=bh
*divide by h
(2A)/h=b
*substitute values
(2x120)/8=b
240/8=30
5(8g+5-2)
Please explain
Will give thanks and brainliest
Answer:
[tex]15 + 40g[/tex]
Step-by-step explanation:
Use the Distributive Property to figure this out:
[tex]5(8g + 5 - 2) \\ 40g + 5(5 - 2) \\ 40g + 5(3) \\ \\ 40g + 15[/tex]
* The above answer is written in reverse, which is the exact same result.
I am joyous to assist you anytime.
What is the constant of proportionality from the equation y=7.25x
A chef wants to make 2 quarts of salad dressing. Currently, he has 18 parts oil, and 4 parts vinegar. How much oil must be added to get 24 parts oil and 3 parts vinegar? Write and solve an equation.
Answer:
24 plus 18 plus 2 plus 4 plus three
-58= -2(5n + 4) Explain your solution process
[tex]\text{Hello there!}\\\\\text{Solve for n:}\\\\-58= -2(5n + 4)\\\\\text{Distribute the-2 to the numbers in the parenthesis}\\\\-58= -10n -8\\\\\text{Add 8 to both sides}\\\\-50=-10n\\\\\text{Divide both sides by -10}\\\\\large\boxed{5=n}[/tex]
A shoe store offers a frequent-buyers card. Each transaction is worth 10 points, and customers
automatically earn 22 points when they sign up.
Enter the function rule for the transaction function, where p represents the number of transactions.
The function rule is N (p)=__
In graphing the function,___
would be the slope and___
would be the y-intercept.
Answer:
N(p) = 22 + 10p
In graphing the function, N(p) = 22 + 10p
would be the slope and 10;
and 22 would be the y-intercept.
Step-by-step explanation:
Let p represents the number of transactions.
Each transaction is worth 10 points, then p transactions are worth 10p points.
Customers automatically earn 22 points when they sign up.
The total amount of points is
N(p) = 22 + 10p
In graphing the function, N(p) = 22 + 10p
would be the slope and 10;
and 22 would be the y-intercept.