Answer:
the answer is 10a+11x
Step-by-step explanation:
2a+3a+5a=10a
3x+2x+6x=11x
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 1),B(3,1), C (3,4) D(-2,4). What is the perimeter of rectangle ABCD?
Answer:
16 units
Step-by-step explanation:
Rectangle perimeter = width + width + height + height = 2 (width) + 2 (height)
To find the length of one of the sides of the rectangle, I am going to find the distance between points A and B.
The y-xoordinates are the same for A and B, so this is a horizontal line. This means we are measuring the width of the rectangle.
To find the distance, we take 3 - -2 = 5 units
So the width of the rectangle is 5 units.
We can do the same thing to find the height of the rectangle using B and C.
They have the same x-coordinates, so the distance between them will be the difference in the y-coordinates.
4 - 1 = 3, so the height of the rectangle is 3.
Finally, to find the perimeter, we do 2(5) + 2(3) = 16 units
The perimeter of the rectangle is 16 units.
I hope this helps!
Principal = $5000
Rate = 7.4%
Time = 8 years
Answer:
2,960.00
Step-by-step explanation:
5000x7.4x8=2,960.00
hope this helps
what is 4 + 5 square divided by 4
Answer:
0.75
Step-by-step explanation:
4 + 5=9
√(9)=3
3 ÷ 4 = 0.75
Benita buys 2 shirts for the same price, s. The sales tax rate is 6.5%.
Write an expression to represent the total cost of the shirts in two different ways.
Enter the correct answers in the boxes.
Answer:
2S + 0.065(2S)
Step-by-step explanation:
Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S
a tax is a compulsory sum levied on goods and services. tax increases the price of a good
The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)
This gives = 2S + 0.065(2S)
Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S
We want to write two expressions that represent the total cost of the shirts, the expressions are:
Cost = P*(1.065) + P*(1.065)
cost = P*2.13
We know that Benita buys two shirts for the same price, P.
Then at this moment. the total cost is just:
cost = 2*P
Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:
P' = P*(1 + 6.5%/100%) = P*(1.065)
Then the total cost is twice that amount, written as:
Cost = P*(1.065) + P*(1.065)
This can be one of the two expressions.
Now to get the other expression, we just simplify the above one:
cost = 2*P*(1.065) = P*2.13
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Steve has 10 biscuits in a tin.
There are 6 digestive and 4 chocolate biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.
Answer:
31/90 is the prob.
Step-by-step explanation:
sorry if this is incorrect :9
ty for reading :9
2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.
(x + 1)2 + (y - 2)2 = 36
Center:
Radius:
Answer:
Center: ( -1 , 2 )
Radius: 6
Step-by-step explanation:
The equation for a circle is given as follow:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Where,
the Center is: ( h , k ) (note that the signs of the number are different)
and the radius is: r
So if we compare the original circle equation to the equation in the question we can see that:
[tex](x+1)^{2} +(y-2)^{2} =36[/tex]
the Center is: (-1,2)
and the radius is: [tex]\sqrt{36}[/tex] = 6
2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:
first sub y=2 in the equation to find the values for x:
[tex](x+1)^{2} +(y-2)^{2} =36[/tex]
[tex](x+1)^{2} +(2-2)^{2} =36[/tex]
[tex](x+1)^{2} +(0)^{2} =36[/tex]
[tex](x+1)^{2} =36[/tex]
[tex]x+1 =±\sqrt{36}[/tex]
[tex]x=6-1[/tex] AND [tex]x=-6-1[/tex]
[tex]x=5[/tex] AND [tex]x=-7[/tex]
The points are A(5,2) and B(-7,2)second sub x= -1 in the equation to find the values for y:
[tex](x+1)^{2} +(y-2)^{2} =36[/tex]
[tex](-1+1)^{2} +(y-2)^{2} =36[/tex]
[tex](0)^{2} +(y-2)^{2} =36[/tex]
[tex](y-2)^{2} =36[/tex]
[tex]y-2=±\sqrt{36}[/tex]
[tex]y=6+2[/tex] AND [tex]y=-6+2[/tex]
[tex]y=8[/tex] AND [tex]y=-4[/tex]
The points are D(-1,8) and E(-1,-4)After finding the points write them in the graph and match them together to get the like the circle in the picture below:
BRAINLIEST!! PLS HELP
solve 4(3 - 1x)
Answer:
− 4x + 12
ENJOY...
Step-by-step explanation:
Answer:
12 - 4x
Step-by-step explanation:
Distribute the 4 to both terms within the parentheses:
4(3 - x)
4*3 - 4*x
12 - 4x
This is called the expanded form, while 4(3 - x) is called the factored form of this expression.
Hope this helps!! :)
Which statement is true about the slope of the graphed line?
what is the equation of a line that passes through 4,3 and 2,3
8 is 80% of what number?
Answer: 10
Step-by-step explanation:
80/100 of 10
0.8 × 10 = 8
8 is 80% of 10
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
To find a number such that, it's 80% is 8.
Let the number be x
80%x =8
This forms an equation in one variable which can be solved by transposition.
[tex]80x/100=8[/tex]
On multiplying 100 both sides,
[tex]80x=800[/tex]
On dividing 80 both sides,
x=10
Thus, 80% of 10 is 8.
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what is 13 % of 120.00 dollars and why
Answer:
15.6
0.13 times 120=15.6
Answer:
15.60
Step-by-step explanation:
You multiply 13% and 120.00 to get the answer I hoped that I helped you have a nice day or nigh!
Please help!!! Thank you so much!!
Answer:
45 inches
Step-by-step explanation:
If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.
A right triangle with the side AB as a length of 35 cm and another side length BC with 12 cm. What is the hypotenuse length of the right triangle?
The graph shows the number of cases of bottles of water and the total number of bottles of water.
Bottles of Water
Write an equation that you can use to determine the number of bottles of water in the store if you know then number of cases of water.
Answer:
b = 24c
Step-by-step explanation:
The inverse of the function y = 22 +3 is y = –20 – 3
True
False
Answer:
true
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Pleaseee answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
TWU is congruent to WUV
Step-by-step explanation:
The amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with 100 g of this radioactive substance, which function represents the amount of radioactive substance left after x hours?
A- f(x)=100(0.15)^x
B- f(x)=100(0.85)^x
C- f(x)=100(1.15)^x
D-f(x)=100(1.85)^x
Answer:
A
Step-by-step explanation:
I took the test now that is what I got.
Hope this helps.
The function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the amount of a certain radioactive substance decreases by 15% every hour. A sample starts with 100 g of this radioactive substance.
The function that represents the amount of radioactive substance left after {x} hours is -
f(x)=100(0.15)ˣ
Therefore, the function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.
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Which expression doesn't belong? Why does it not belong? A. 7.9x B. 7.9 · (-10) C. 7.9 + x D. - 79
Answer:
C. 7.9 + x
Step-by-step explanation:
Given - A. 7.9x B. 7.9 · (-10) C. 7.9 + x D. - 79
To find - Which expression doesn't belong? Why does it not belong?
Proof -
As given
A. 7.9x
B. 7.9·(-10)
C. 7.9 + x
D. -79
As we can see that Option A, B, D are the multiple of 7.9 but Option C is not the multiple of 7.9
So, Option C does not belong here.
∴ we get
The correct answer is - C. 7.9 + x
X 65° 20 round to the nearest tenth
Answer:
sorry
Step-by-step explanation:
Evaluate the expression using properties of operations.
-1.2 ÷ 1/6 × 5 × (-2)
A) -72
B) 2
C) 72
D) 120
Please include explanation, thx!
Answer:
-72 is the correct answer
someone help okeseeee
Answer:
volume=lxbxh
=6*6*12
=432cm^2
What is 110% of 100,000
Answer:
It is 110000 your welcome
Step-by-step explanation:
No explanation need luv
I need help with this fast i apericiatte it
Answer:
13/12
Step-by-step explanation:
Answer:
12/13
Step-by-step explanation:
remember it's adj/hyp so it would be 36/39. When simplified it becomes 12/13.
i need help with this
Step-by-step explanation:
1. 5 1/4 = 21/4
21/4 ÷ 3/4 = 7/4
2. 7 1/2= 15/2
15/2 ÷ 1/4 = 1.875
3. 3 2/5 = 17/5
17/5 ÷ 2/7 = 0.24
Given △ACD and △CDF, what is FD?
Can i Get some help? 5 stars!
Answer:
FD is Congruent to DC
Step-by-step explanation:
If x = -6 and y= 2, evaluate the following expression:
x² + y²
Answer:
40
Step-by-step explanation:
-6 * -6 = 36
2 * 2 = 4
= 40
When I think of a number, double it, then add 7, I get 25. What number did I think of? ( Hint: Let the number be x)o
Hey there!
The answer is [tex]9[/tex]
We will start by forming an equation to solve this.
So we are starting with a number, [tex]x[/tex], then doubling it and adding [tex]7[/tex], which gives us 25.
So:
[tex]2x+7=25[/tex]
Now we solve this equation:
[tex]2x+7=25[/tex]
[tex]2x=18[/tex]
[tex]x=9[/tex]
Have a super awesome day!
Answer:
X = 9
Step-by-step explanation:
If you take 9, then double it, you get 18. 9+9 = 18. Then, you would add 7. 18 plus 7 is 25.
Hence, the answer to this problem is 9.
What is the value of point A ? ---------
Answer:
The answer is (5,3) because x=5 and y=3
Answer:
the answer is (5,3).
Step-by-step explanation:
5 by 3 is 15, so there are 15 squares or units.
What is the sum of the exterior angles of this octagon?
Answer: D: 360°
An octagon is supposed to have a total of 360°, each side being equivalent to 45°. In conclusion, the exterior angle of this octagon is equivalent to 360°
. A class trip is being planned. For one option, each student will pay $630. This includes two meals a day and accommodation for the 9 day trip. The other option offers three meals a day and accommodation for the 9days. This second option costs $720. What is the cost per meal? What is the cost per day for accommodation?