Answer:
56
Step-by-step explanation:
There are two ways the answer to this question can be determined
Method 1 : the fast method
We know that 8 is twice 4
4 x 2 = 8
The ratio of diet soda = 8
the ratio of regular sodas = 4
Diet sodas = 112
the number of regular sodas = 112 / 2 = 56
Method 2 : The long method
I would first determine the total number of diet and regular sodas. Let the total number be represented by d
from the question, the following equation can be derived :
(8/12) x d = 112
divide both sides of the equation by 12/8 to determine the value of d
d = 112 x (12/8) = 168
We can now derive a value for the number of regular soda
regular sodas = ( ratio of regular sodas / total soda) x total number of sodas
(4/12) x 168 = 56
Solve-2(x – 4)2 – 3 = 15 by using the square root property.
Answer:
[tex]x = -\frac{1}{2}[/tex]
The coordinates of ADEF are D(3,3), E(8,3), and F(6,9). If you translate ADEF 3 units right and 2 units down, what are the coordinates of D'?
The coordinates of D'are (Type an ordered pair.)
PLEASE HELP I WILL MADK BRAINLIEST
Answer:
D(6,1) E(11,1) F(9,8)
Step-by-step explanation:
Just add 3 to the first number of each of the points since you're moving it right by 3 units (right is a positive value) and subtract 2 from the second number (since going down is a negative factor)
find the mean of the data set down below. 7, -3, 6, -2, 8, 7, -4, 5, 3
Please help meee! Math makes my brain hurt :(
The answer should be x=-2
Will mark brainliest if get the correct answer.
Answer:
Perimeter of rectangle before folded = 56 in
Total area after folding = 156 sq in
Step-by-step explanation:
Rectangle before folded: l = 16 and w = 12
P = 2(16) + 2(12) = 32 + 24 = 56 in.
Figure after folding: Area of trapezoid + area of rectangle
Area of trapezoid = h([tex]b_{1} + b_{2}[/tex])/2 = 6(4 + 16)/2 = 60
Area of rectangle = lw = 16(6) = 96
Total area after folding = 60 + 96 = 156 sq in.
Note: You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle. Your choice. OK?
One positive number is 2 less than another. The sum of their squares is 34. What is the smaller number?
Silas was curious if sample minimum was an unbiased estimator of population minimum. He started with a large
normally distributed population of test scores whose minimum was 51 points.
He then took a random sample of 6 tests and calculated the minimum of the sample. He replaced those tests
and repeated this process for a total of 40 trials. His results are summarized in the dotplot below, where each
dot represents the minimum score from a sample of 6 tests.
:
..
TATUS
50
70
75
55
60
65
Sample minimum
Answer:
Sample minimum appears to be a biased estimator since it consistently overestimated the population minimum.
Step-by-step explanation:
I checked the answer
At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?
Given:
Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.
Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.
Remaining persons are adults.
There were 56 more girls than adults.
To find:
The number of total persons.
Solution:
Let x be the number of total persons. Then,
Number of boys = [tex]\dfrac{1}{4}x[/tex]
Number of girls = [tex]\dfrac{5}{8}x[/tex]
Number of adults = Total persons - Boys - Girls
= [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]
= [tex]\dfrac{8x-2x-5x}{8}[/tex]
= [tex]\dfrac{x}{8}[/tex]
There were 56 more girls than adults.
Girls = Adults + 56
[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]
[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]
[tex]\dfrac{4}{8}x=56[/tex]
[tex]\dfrac{1}{2}x=56[/tex]
Multiply both sides by 2.
[tex]x=112[/tex]
Therefore, the total number of persons is 112.
May someone please help me with this:)
Answer:
i think its 64
Step-by-step explanation:
Which of the statements about the y-axis are true? I.The y-axis is a vertical number line that passes through the origin.II.The y-axis intersects the x-axis at the point (0 , 0).III.The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.IV.The y-axis is a horizontal number line that passes through the origin.
Answer:
No i does not well it will be 0,5 or any other number but the x wont change
Step-by-step explanation:
A+6,when a=2?
Pls answer
Answer:
8
Step-by-step explanation:
a + 6; a = 2
2 + 6 = 8
Thus, The answer is 8
-TheUnknownScientist
the last parttttttttt
Answer:
Step-by-step explanation:
35x2^10
Answer:
35,840
Step-by-step explanation:
(7 · 2^5) · (5 · 2^5) = (7 · 32) · (5 · 32) = 224 · 160 = 35,840
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
256 miles
Step-by-step explanation:
The Pythagoras theorem is a² = b² + c² where a is the hypotenuse or longest side
To find the shorter side, the equation is rearranged so c² = a² - b² (whether it is b or c doesn't matter)
so √377² - 277² = 255.7342371
Answer to number 22
Answer: 256 miles
What is the solution to this system of equations?
Answer:
(-2,2)
Step-by-step explanation:
Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.
Hope this helps ^-^
Solve it please 25 Points!
In an exam a student scored 60 marks out of
a possible 80. What percentage is this?
?
Answer:
75%
Step-by-step explanation:
Please help me with this problem .
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
4+10=14
462/14=33
33x4=132
so your answer would be 132 ;)
brainleist
At the school pay students can attend for only $7, but for aduts it costs $10
Answer:
question? I don't understand
Answer:
7s + 10a
Step-by-step explanation:
I don't see a question so I just answered with a formula...
7x −28 solve for inequality
Answer:
7(x-4)
Step-by-step explanation:
You can use an Algebra calculator btw.
Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in^2. the function A(t)=49t represents the area A(t), in square inches that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
i’m bad at decimals help plz
Answer:
<
Step-by-step explanation:
Because 3 < 4
Answer:
its <
Step-by-step explanation:
60.3 is greater than 60.44
If you break it down kinda it would be 60.30 and 60.44 and 44 is greater than 30.
between which two integers is the value of √21?
Answer:
cll fl fl gl hhcjjfftgggc vggggg
Step-by-step explanation:
ty go gu gu gu gu gu vik bm vm gn gh ucch jhbbbjjjjk fistulakkStudents in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.
37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.
This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.
Solve for x. Round answer to the nearest tenth.
17
54°
х
someone please help me out on this problem
Answer:
[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=9
Step-by-step explanation:
the equation for graphed circles centered at (0, 0) is
[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=[tex]r^{2}[/tex]
and 3 is r (the radius)
Heelp me, please.................
Answer:
B
Step-by-step explanation:
which value in the set (2,3,48,96) is a solution of the equation 24+x=72
Answer:
48
Step-by-step explanation:
24+x=72
Isolate x
24+x=72
-24 -24
x=48
Solve. Round to the nearest hundredth.
(Help! Will give brainliest)
Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?
9514 1404 393
Answer:
Paul: 5Gina: 21Step-by-step explanation:
In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.
Paul is 5 now, and Gina is 21.
What are the degree and leading coefficient of the polynomial?
Answer:
Degree: 9
Coefficient: -1
Step-by-step explanation:
The degree of a polynomial is equivalent to the highest degree of all its terms.
The term with the highest degree in this polynomial is y^9