Which statement is true about the slope of the graphed line?
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:
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
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!
List 3 synonyms for the word input in math?
List 3 synonyms for the term outputs in math?
Please help this is due today and I really need help.
Synonyms for the word 'input' in math:
Domain and Range
Synonyms for the word 'output' in math:
Range of the function
Explanation:-
The input is the number you feed into the expression
The output is what you get after the look-up work or calculations are finished.
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
what is the equation of a line that passes through 4,3 and 2,3
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
Mr. Starnes wondered what proportion of Katy Perry's Twitter followers are
female, so he selected a random sample of 500 of Katy Perry's followers. In the
sample, 308 are female. Construct and interpret a 90% confidence interval for the
true proportion of Katy Perry followers that are female.
Answer and Step-by-step explanation:
To calculate a confidence interval for a proportion:
1) Determine the proportion
[tex]p=\frac{308}{500}[/tex]
p = 0.616
2) A 90% confidence interval has z-score that is 1.645.
3) Calculate margin of error
[tex]ME=\sqrt{\frac{p(1-p)}{n} }[/tex]
where
n is the sample size
So
[tex]ME=\sqrt{\frac{0.616(1-0.616)}{500} }[/tex]
[tex]ME=\sqrt{\frac{0.616(0.384)}{500} }[/tex]
ME = 0.02175
Then the interval is given by
p ± z(ME)
0.62 ± 1.645(0.02175)
0.62 ± 0.035
The interval will be
0.585 < p < 0.655
What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.
Abdullah and Kanna are working on the same problem.
A juice box has 20% more juice in its new packaging.
The original packaging held 12 fluid ounces. How
much juice does the new packaging hold?
Whose double number line is correct?EXPLAIN YOUR THINKING!!!!!!!
Answer:
Abdullah is correct.
Step-by-step explanation:
The bottle contained originally 12 fl oz, so 12 fl oz is 100%.
The box now contains 20% more, so now it contains 120% of 12 fl oz.
120% * 12 fl oz = 1.2 * 12 fl oz = 14.4 fl oz
Also, 20% is 1/5. Abdullah divided 12 oz into 5 equal parts, and then he added one more 1/5. He interpreted the problem correctly. The amount in the new bottle is the amount of the old bottle plus 20% of that old amount.
Kanna considers the original amount to be 80%. When he adds another 20%, he is adding 1/4 of 12 which is too much. That is why he gets an incorrect answer that is to high. He interpreted the problem incorrectly. For him, the old bottle has 20% less than the new bottle. That is incorrect.
Abdullah is correct.
What is 110% of 100,000
Answer:
It is 110000 your welcome
Step-by-step explanation:
No explanation need luv
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°
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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Given △ACD and △CDF, what is FD?
Can i Get some help? 5 stars!
Answer:
FD is Congruent to DC
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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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 4 + 5 square divided by 4
Answer:
0.75
Step-by-step explanation:
4 + 5=9
√(9)=3
3 ÷ 4 = 0.75
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 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.
someone help okeseeee
Answer:
volume=lxbxh
=6*6*12
=432cm^2
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:
Admission for adults is 12 dollars. Admission for kids is eight dollars.One day 575 people entered the cave paying 5600 how many adults into the cave
Answer:
Step-by-step explanation:
Admission for adults is 12 dollars. Admission for kids is eight dollars.One day 575 people entered the cave paying 5600 how many adults into the cave
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?
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.
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!
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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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
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.
Please help!! I need the answer asap