Answers
Answer:
x = 36
Step-by-step explanation:
Remark
This can be done as a proportion. A proportion consists of 2 ratios which means it has 4 parts. If you know three of them, you can solve for the 4th.
We can use the following proportion
42/14 = x / 12 Notice that both ratios have tops and bottoms that use corresponding parts. Cross Multiply
14*x = 42 * 12 Combine the right
14x = 504 Divide by 14
x = 504/14
x = 36
Related Questions
rewrite the equation by completing the square, 4x^2-4x+1=0,
Answers
Answer:
(x-0.5)^2=0
Step-by-step explanation:
x^2-x+0.25=0
(x-0.5)^2=0
Calculate the mean of the data set below. 28,40,53,39,45
Answers
Answer: 41.
Step-by-step explanation: To find the mean of a data set, you first need to add all the numbers together. It should look like this:
28 + 40 + 53 + 39 + 45 = 205.
The next step is to divide 205 by how many numbers you have in the data set. In this case, you have 5 numbers in the data set. Your work should look like this:
205 / 5 = 41.
Therefore, the mean of the data set is 41.
Hope this helps! :)
Last week, the price of apples at a grocery store was $1.06 per pound. This week, apples at the store are on sale at a 10% discount. What is the total price of 4/1/2 pounds of apples this week at the grocery store?
Answers
Answer: $6.48
Step-by-step explanation:
1.60 * 0.1 = $0.16
1.60 - 0.16 = $1.44
1.44 * 4.5 = $6.48
A bag contains ten titles labeled B, C, D, E, F, G, H, I, J, and K. One time will be randomly picked. What is the probability of picking a vowel? Write your answer as a fraction in the simplest form.
Answers
2 vowels in 10 letters
2/10 simplified is 1/5
expand and simplify 2(3a-5b +4 (a+2b)
Answers
Answer:
14a + 6b
Step-by-step explanation:
To expand use distributive property. a*(b +c) =a*b +a *c
Simplifying an expression
2*(3a - 5b + 4*(a+2b) = 2*(3a -5b + 4*a +4*2b)
= 2*(3a - 5b + 4a + 8b)
= 2* (3a + 4a - 5b + 8b)
Combine like terms. To combine like terms, add or subtract the coefficient of the variables. 3a and 4a & (-5b) and 8b are like terms
= 2*( 7a + 3b)
= 2*7a + 2*3b
= 14a + 6b
Hey there!
2(3a - 5b) + 4(a + 2b)
= 2(3a - 5b) + 4(1a + 2b)
= 2(3a) + 2(-5b) + 4(1a) + 4(2b)
= 6a - 10b + 4a + 8b
= (6a + 4a) - (10b + 8b)
= 6a + 4a - 10b + 8b
= 10a - 2b
Therefore, your answer is: 10a - 2b
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve: log4(7t + 2) = 2
t =
Answers
Answer:
t = 2
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
[tex]log_{4}[/tex] (7t + 2) = 2 , then
7t + 2 = 4² = 16 ( subtract 2 from both sides )
7t = 14 ( divide both sides by 7 )
t = 2
Answer:
t = - 4/13
Step-by-step explanation:
5. Two buses leave Bangor at the same time and travel in opposite directions. One bus
averages 57 mi/h and the other bus averages 43 mi/h. After how many hours will the buses be
450 mi apart?
Answers
Please answer this DO NOT POST A LINK I will report you if its a link. please help :(
Answers
Answer:
21
Step-by-step explanation:
10-(3×2²-23) = 21
10- -11
10+11=21
(1+10²)=101
2²×5²=100
101-100=1
²¹/1 = 21
Find the lateral area of the cone
Answers
Answer:
I think
Step-by-step explanation:
25x9
is 225
which should be it
What is the surface area of the milk carton
to the nearest square inch? Check your
answer for reasonableness.
Answers
Answer:
280 in ^2
Step-by-step explanation:
Hi ok heres how I did this:
SA of rectangular prism: S = 2(lw + lh + wh)
SA of triangle top thing(whats it called???): Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
So basically for the square part, the surface area is
2(4*4+4*12+4*12), or 224
For the triangle part, the surface area is
4+4+4, or 12*4+2*4, or 48+8, or 56
224+56=280
The thing is I don't know why it says round though. Theres a chance its incorrect if they want something with a decimal. Let me know.
Find the 43rd term of the algebraic sequence if a21 = −32 and a50 = −119.
PLEASE REALLY NEED HELP WITH THISSSS
70 POINTS!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
- 98Step-by-step explanation:
Given
[tex]a_{21}=-32[/tex][tex]a_{50}=-119[/tex]Find [tex]a_{43}[/tex]
We know that
[tex]a_n=a_1+(n-1)d[/tex]Appy this to the two known terms and find the first term and the common difference
[tex]a_1+20d=-32[/tex] ⇒ [tex]a_1=-20d-32[/tex] [tex]a_1+49d=-119[/tex] ⇒ [tex]a_1=-49d-119[/tex]Find the coomon difference
-20d - 32 = - 49d - 11949d - 20d = 32 - 11929d = - 87d = - 87/29d = - 3Find the first term
a₁ = - 20(- 3) - 32 = 60 - 32 = 28Now find the 43th term
a₄₃ = 28 + 42(- 3) = 28 - 126 = - 98Answer:
-98
Step-by-step explanation:
General form of an arithmetic sequence:
[tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
[tex]a_{21}=-32[/tex][tex]a_{50}=-119[/tex]To find the 43rd term we need to construct an equation for the nth term. To do this, find the first term and the common difference by substituting the given information into the general formula to create a system of equations that can be solved.
[tex]\begin{aligned} \underline{\textsf{Equation 1}}} \\ a_{21} & =-32 \\ \implies a+(20-1)d & = -32 \\a+20d & =-32 \end{aligned}[/tex]
[tex]\begin{aligned} \underline{\textsf{Equation 2}}} \\ a_{50} & =-119 \\ \implies a+(50-1)d & = -119 \\a+49d & =-119 \end{aligned}[/tex]
Subtract Equation 1 from Equation 2 to eliminate a:
[tex]\begin{array}{r l}a+49d & = -119\\- \quad a+20d & = -32\\\cline{1-2}29d & = -87\end{aligned}[/tex]
Solve for d:
[tex]\implies d=\dfrac{-87}{29}=-3[/tex]
Substitute the found value of d into one of the equations and solve for a:
[tex]\implies a + 20(-3)=-32[/tex]
[tex]\implies a=28[/tex]
Substitute the found values of a and d into the general formula to create an equation for the nth term:
[tex]\implies a_n=28+(n-1)(-3)[/tex]
[tex]\implies a_n=31-3n[/tex]
Finally, substitute n = 43 into the found formula to find the 43rd term of the sequence:
[tex]\implies a_{43}=31-3(43)=-98[/tex]
Learn more about arithmetic sequences here:
https://brainly.com/question/27806372
https://brainly.com/question/27783089
You want to estimate the height of LSC-CF students. You choose a random sample of 100 students and find that the mean height of these students is 66 inches, with a S of 3 inches. Calculate a .95 confidence interval for LSC-CF students.
Answers
Answer:
1.35 to nearest whloe ounce
Estimate 31+65 over 9.7
Answers
Answer:
9.9
Step-by-step explanation:
31
+ 65
96
96/9.7=
9.89 =
9.9
Hey there!
31 + 65 / 9.7
= 96 / 9.7
= 9.896907
31 ≈ 30
65 ≈ 70
9.7 ≈ 10
9.896907 ≈
30 + 70 / 10
= 100 / 10
= 10
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the range of the graph below
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The range for the given function is ~
[tex]\qquad \tt \dashrightarrow \: - 6 \leqslant y \leqslant 9[/tex]
Because, maximum value of y is 9 and minimum value is -6. so range lies between these two points (including them).
find the volume of the cylinder. round your answer to the nearest tenth. 7 inches and 6 inches.
Answers
[tex]\pi r^{2}[/tex]Answer:
You must know the radius but...
Step-by-step explanation:
The formula to find volume of a cylinder is: B*h
B= area of base
h=height
To find the area of the base you need to know the radius since the formula to find area of a circle is: [tex]\pi r^{2}[/tex]
Once you find the area of the base you just multiply it by the height
need help asap please
Answers
Answer:
5 : 7
Step-by-step explanation:
First figure surface a * a * 6 = 6 a^2
now scale the dimesion by x
ax * ax * 6 = 6 a^2 x^2
= 150 x^2 = 294
x^2 = 294/150
x = 7 : 5 is th ratio of the larger to the smaller
7. Janine rented an apartment for $900 a month. After a year, she bought a house with a monthly mortgage of $1,250. At the end of the year, she is able to deduct $4,900 in real estate taxes and $8,400 in interest. Janine's
taxable income is $42,000. Using the tax schedule below, how much was she able to save on her taxes due to her home ownership?
Answers
$2,940.00
Yw and pls mark me brainiest
what two numbers that can multiply into 60 and add into 19
Answers
Answer:
15 and 4
Step-by-step explanation:
we must first find the Factors:
1, 2, 3, 4, 5
60, 30, 20, 15, 12
Now we can add them to find what adds to 19
1+60 = 61
2+30 = 32
3+20 = 23
4+15 = 19
what is pi and why do we need it
Answers
Answer:
Pi is a mathematical term we need under the circumstances of solving complex math problems.
Answer:
pi explains everything
Step-by-step explanation:
pi goes on forever, so u could look in pi and find your birthday and even your name (in letter/number code : a=1 z=26 etc...) its pretty cool
3.0 × 10^{8} ms− 1 i need the answer to this question please
Answers
Hey there!
3.0 * 10^8
= 3.0 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10
= 3.0 * 100 * 100 * 100 * 100
= 3.0 * 10,000 * 10,000
= 3.0 * 100,000,000
= 300,000,000
Therefore, your answer is:
300,000,000
Good luck on assignment & enjoy your day!
~Amphitrite1040:)
Fleur has 32 collectable playing cards. 3/8 of the playing cards are red. 2/8 of the playing cards are blue. The rest were green. How many of the playing cards were green? Explain how you found your answer.
Answers
Can someone help me with this?
Answers
2u+14
hope it helps...!!!
If you are 15 years old now, which equation could be used to solve for your age, y, 12
years from now?
Answers
Add 12 to the current age:
Y = 15 + 12
Answer:
y=15x12
Step-by-step explanation:
When the research hypothesis posits that there is a nondirect relationship between two variables, the test is ______. a. nondirectional b. one-tailed c. two-tailed d. negative
Answers
Answer:
c. two-tailed
Step-by-step explanation:
i think its this because i say so now trust :)
!!! 20 POINTS !!!
Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17.
Find the rental cost for each movie and video game.
Answers
Rental cost for each video game $6.25
Explanation:
m = rental cost of each movie
g = rental cost of each game
Set up:
8m + 4g = 37
3m + 2g = 17
Modify for elimination:
3 (8m + 4g = 37) ———> 24m + 12g = 111
8 (3m + 2g = 17) ———> 24m + 16g = 136
Subtract:
24m + 16g = 136
- 24m - 12g = -111
——————————
4g = 25
Divide:
4g = 25
g = 25/4
g = 6.25
So each game is $6.25
Now plug in “g” to one of the original equations and solve for “m” to find the rental cost for each movie
3m + 2 (6.25) = 17 (multiply 2 & 6.25)
3m + 12.50 = 17 (subtract 12.50 from sides)
3m = 4.50 (divide both sides by 3)
m = 1.50
So each movie rental is $1.50
Please help
Workout a b and c
Answers
Answer:
a=21° b=70°
Step-by-step explanation:
a=21°(Vertically Opposite Angles)
b+110°=180° (linear pair)
b=180-110
b=70°
[please mark me brainliest]
Answer:
a = 21°
b = 70°
c = 89°
Step-by-step explanation:
angle of measure b and the angle of measure 110 are two supplementary angles
Then b + 110 = 180
Therefore b = 180 - 110 = 70°
angle of measure b and the angle of measure 21 are two opposite angles
Then a = 21
We Know that the sum of the interior angles of a triangle equal to 180
Then a + b + c = 180
Therefore c = 180 - a - b = 180 - 21 - 70 = 159 - 70 = 89°
what is the LCM for 9 and 12
Answers
help pls I give brainiest
Answers
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Only answers needed
Answers
Answer:
Card 9: 62.8 Card 10: 235.5 Card 11: 79.94 Card 12: 230.79
Step-by-step explanation:
What is 7/3 times 5/3 times 11/3 simplified?????
Answers
Answer:
14.26
Step-by-step explanation:
7/3 x 5/3 x 11/3 = 7(5)11/(3³)
35 x 11 = 385/27
385 / 27 = 14.26