Answer:
? = 4
Step-by-step explanation:
2/13 + ?/13 = 6/13 (Given)
-2/13 -2/13 (Isolate the unknown through subtraction)
?/13 = 6/13 - 2/13
?/13 = 4/13 (Combine like terms)
? = 4
Because the demoninators are the same, the unknown value can be found using isolation techniques. To find the unknown, subtract 2/13 from both sides. This eliminates the 2/13 from the right side while obeying the rule that states that what is done to one side must to done to the other. This leaves the ?/13 by itself on the right and 4/13 on the left. Again, because the demoninators are identical, the unknown value must be 4.
4 1/3-1 1/4
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
A. 5
B. 3
C. 3 1/2
D. 3 1/12
Answer:
D. 3 1/12
Explanation:
[tex]\rightarrow \sf 4\dfrac{1}{3} -1\dfrac{1}{4}[/tex]
convert into improper fraction
[tex]\rightarrow \sf \dfrac{13}{3} -\dfrac{5}{4}[/tex]
make the denominators same. 12 is the common factor of both 3 and 4
[tex]\rightarrow \sf \dfrac{13(4)}{12} -\dfrac{5(3)}{12}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{52}{12} -\dfrac{15}{12}[/tex]
join both fraction
[tex]\rightarrow \sf \dfrac{52-15}{12}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{37}{12}[/tex]
convert into mixed fraction
[tex]\rightarrow \sf 3\dfrac{1}{12}[/tex]
Use translation (x,y) to (x-8, y+4)
What is the image of A (2,6)
Answer:
(-6,10)
Step-by-step explanation:
This is simple, you just subtract 8 from the x value, and add 4 to the y value.
Hope this helps
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
What percent of the people between the ages of 21 and 34 prefer other sport and/or hate sports? Round your answer to the nearest tenth of a percent.
Answer:
22.5%
Step-by-step explanation:
The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to 2.25. Multiply this number by 100 to get it as a percent and you have 22.5%
22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
What is Percentage?Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.
To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."
The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.
So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100
= (9 / 40) x 100
= 22.5%
Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
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Brianna’s teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x−3x−4 Expression B: 12x−4 Expression C: 5x+x−4
Answer:
expression a and c
Step-by-step explanation:
A. 9x-3x-4 = 6x-4
C. 5x+x-4 = 6x-4
hope this helps
Answer:
Expression A and C
Step-by-step explanation:
When Expression A is simplified it is 6x - 4. And for Expression C you add 5x and x, and then it’s 6x - 4. That makes them the same expression. So your answer would be Expression A and C.
I hope it helps! Have a great day!
Muffin ^^
Find x.
Round to the nearest tenth:
31°
у
X
400 ft
x = [ ? ]ft
Answer:
x = 466.7 fty = 240.3 ftFirst find the inner angle:
90° - 31°59°using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]
[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]
[tex]\hookrightarrow \sf x = 466.6533[/tex]
[tex]\hookrightarrow \sf x = 466.7[/tex] ( rounded to nearest tenth )
====================================
using tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]
[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]
[tex]\hookrightarrow \sf y= 240.344[/tex]
[tex]\hookrightarrow \sf y= 240.3[/tex]
Answer:
y = 466.7 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°
Using the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 31°A = 400 ftH = [tex]x[/tex]Substitute given values and solve for x:
[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]
[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]
[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]
) Neena buys books and puzzles at a yard sale. The price of a book is the same as the price of a puzzle. She spends $15.The situation can be represented by the graph and system of equations shown, where b is the price of each book and p is the price of each puzzle. What is the price of each book? What is the price of each puzzle?
Answer:
Each one 7.50 :)
Step-by-step explanation:
When we add, we can solve this!
7.50 + 7.50 = 15
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Each costs $7.50
Step-by-step explanation:
Given
1 book and 1 puzzle costs $15Both have the same costSolving
If they cost the same, divide the whole cost by the number of items (2)$15/2 = $7.50 [cost of a book/puzzle]In one week, a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479
each and acoustic guitars sold for $339 each. Write and solve a system of equations to
determine how many of each type of guitar was sold.
Answer:
4 electric guitars and and 5 acoustic guitars were sold.
Step-by-step explanation:
Electric guitars: [tex]x[/tex]
Acoustic guitars: [tex]y[/tex]
[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]
--------------------------------
[tex]y + x = 9\\339y + 479x = 3611[/tex]
--------------------------------
[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]
--------------------------------
[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]
--------------------------------
[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]
Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].
[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]
Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.
Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.
What decimal part of £1 is 40p?
Answer:
1/40 as a decimal is 0.025.
A spinner and 4 cards are shown below:
A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.
Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?
1 over 20
1 over 5
1 over 4
9 over 20
Answer:
1 over 20
Step-by-step explanation:
Given that:
a spinner and 4 cards
A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green
Arrow point at purple
Four cards ⇒ Color : Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find - Probability spinner stops at purple & select pink card.
Solve:
Multiply 4 (the number of cards) with 5 (The number of equal sectors)
[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex] {1 × 1 = 1} {5×4=20}
~lenvy~
Answer:
1 over 20
Step-by-step explanation:
Given the following:
1 spinner and 4 cards
A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.
{Arrow point at purple}
Four cards ⇒ which color are Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find → Probability spinner stops at purple & select pink card.
Since, purple and pink only has one in each of Spinner/card
Thus,
Spinner (5 equal sectors - 1/5}
Card {4 cards - 1/4}
1/4 × 1/5 = 1/20
Hence, probability spinner stops at purple & select pink card is [A] 1/20
[RevyBreeze]
Which pair shows equivalent expressions?
2x+10=-2(x-5)
-2(x+5)=2x-10
-2x-10=-2(x-5)
-2(x-5)=-2x-10
Answer:
-2(x-5)=-2x-10 = -20
or
-2(x-5)=-2x-10 = 20
find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
Answer:
1.9
Step by step answer
step1 finding the mean
(7+4+7+7+2+10+12+8+7+5)/10 = 6.9
step2 Difference between each data
Difference between 7 and 6.9 is 0.1
Difference between 4 and 6.9 is 2.9
Difference between 7 and 6.9 is 0.1
Difference between 7 and 6.9 is 0.1
Difference between 2 and 6.9 is 4.9
Difference between 10 and 6.9 is 3.1
Difference between 12 and 6.9 is 5.1
Difference between 8 and 6.9 is 1.1
Difference between 7 and 6.9 is 0.1
Difference between 5 and 6.9 is 1.9
step3 add all the Difference
0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4
step4 divde it by n
19.4/10 = 1.9
so the answer is 1.9
Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?
Answer:= The exponent is 12
Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)
When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents
(a* 10^b) (c* 10^d) = ac * 10^(b+d)
(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)
=68.25 * 10^11
But this is not proper scientific notation. We can only have 1 number in front of the decimal. We need to move the decimal 1 place to the right. That adds 1 to the exponent.
=68.25 * 10^11 = 6.825 * 10^(11+1)
= 6.825 * 10^12
The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representationIts value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:
[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)
Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
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Can someone please help me with this questions I would really appreciate it thank you !!
Answer:
C
Step-by-step explanation:
A rectangular pool is 10 meters wide and 16 meters long.What is the area of the pool? What is asked?What are given?What is/are the operations to be used?What is the number sentence?What is the answer?
A=160 m
Solution:The formula for the Area of a rectangle is:A=LWIn the above formula, L stands for the length and W stands for the width.We are given:L=16 mW=10 mWe are asked to find the area of the rectangular pool.The operation that we're going to use here is:Multiplication.Multiply:A=16*10A=160 mHope it helps.
Do comment if you have any query.
- area: 160 m²
What is asked?- Asked to find the area of the rectangular pool.
What are given?- Given with width of the pool is 10 metres and length is 16 metres.
What is/are the operations to be used?- multiplication
What is the number sentence?- 10 * 16
What is the answer?- area: 160 m²
Additional ===========
area of rectangle = Length * Widthhelp solve this and reward is brainlist.
Answer:
[A] 20%
[B] 400%
Step-by-step explanation:
Part A:
To Find: Percentage
= Price in 1985/price in 2003
Thus,
$62000×100%=6200000÷310000=20%
Part B:
To FInd: Percentage increase
= (Price in 2003-price in 1985)/price in 1985
Thus,
$248000×100=$24800000÷62000=400%
[RevyBreeze]
A shirt was originally priced at $80. The store is having a 25% off sale. How much will you pay for the shirt after the discount (not including tax)
$60
hope it helps...!!!
please help its 5 questions also can u let me know if u can help me with the other ones
Answer:
[tex]1.76[/tex] days
Step-by-step explanation:
**Note this propably is not what you are looking for but it gets you the final answer.**
Given the eqaution [tex]y=9^{5x}[/tex]
Lets solve for x.
Step 1.
Rewirte the equation as [tex]y=a^{bx}[/tex]. Where [tex]a=9[/tex] and [tex]b=5[/tex].
Step 2.
Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.
[tex]ln(y)=b*x*ln(a)[/tex]
Step 3.
Divide both sides of the equation by [tex]b[/tex]
[tex]\frac{ln(y)}{b} =x*ln(a)[/tex]
Step 4.
Divide both sides of the equation by [tex]ln(a)[/tex]
[tex]\frac{ln(y)}{b*ln(a)} =x[/tex]
Now we have our equation to solve for the number of days.
Step 5.
Plug [tex]9[/tex] back in for [tex]a[/tex] and [tex]5[/tex] back in for [tex]b[/tex].
[tex]\frac{ln(y)}{5*ln(9)} =x[/tex]
Step 6.
We are given 243 million for [tex]y[/tex].
Lets plug in 243 million.
[tex]\frac{ln(243,000,000)}{5*ln(9)} =x[/tex]
Step 7.
Solve for x.
[tex]x=1.7575419...[/tex]
Lets round to the hundreth's place.
[tex]x=1.76[/tex]
1.76 days
HELP PLEASEE!!!
A prism is filled with 25 cubes with 1/2-unit side lengths. What is the volume of the prism in cubic units?
Answer:
3.125 cubic unit i guess
Answer:
3.125 unit cube is the answer i hope i helped u
The square root of 180 is
between which 2 integers?
Answer:
13 and 14.
Step-by-step explanation:
The square root of 180 is 13.416407865. Therefore, the two integers (or whole numbers) that it falls in between is 13 and 14.
-------------------------------------------------------------------------------------------------------------
I hope this helps
-No one
The graph below shows the relationship between the number of pants sold and the cost. Choose two true statements.
A: The ordered pair (1, 9) represents the unit rate as cost per pair of pants.
B: The ordered pair (1, 18) represents the unit rate as cost per pair of pants.
A: The ordered pair (0,0) represents the fact that one pair of pants costs $0.
A: The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.
Answer:
The ordered pair (1, 9) represents the unit rate as cost per pair of pants.
and
The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.
Step-by-step explanation:
hope this helped
a phone call from a pay phone cost $3.18 for a 10 minute call. what is the cost per minute for the call?
Answer:
$0.318 per minute
Step-by-step explanation:
3.18/10 = 0.318
3.18 divided by 10 equals 0.318
Answer:
3.18 cents per minute
Step-by-step explanation:
318 cents / 10 minutes = 3.18 cents per minute
Can you help me with this problem please
Answer:
7 units
Explanation :
Check out my work that I’ve attached
Let me know if you have any questions!
Have a nice rest of your day :)
Now that you know how to identify and utilize these formats, consider the following scenario: You have been contacted by a client whose wedding you have photographed. They want to create an online photo album where they will share their photos with their friends and family. They ask you to send them the photo files so that they can do this. In which type of format would you save the photographs, and which other considerations would be necessary to take?
Write an answer in three to five sentences that explains how you would fulfill this client request and the format you would choose to fill that request. Feel free to provide links to images that support your idea.
For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.
What is the format of a file?When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.
Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.
Therefore, the most appropriate file to send these photos to the client would be JPG because they are not so heavy and have a good definition. In addition, what we must do is create a folder on a cloud storage page and share it with the client so that they have unlimited access to the photos.
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Will give BRAINLY AND FIVE STARS and A THANKS
Answer:
7 to 49
Step-by-step explanation:
The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.
Answer:
k = 7h.
Step-by-step explanation:
Each value of k is 7 times the value of h.
So k = 7h.
Megan played 5 Sudoku games that were at medium
difficulty level. The mean completion time per game
was 5.9 minutes. She completed a sixth Sidoku game
in 2 minutes and 54 seconds. Which of the following
statements must be true about the changes between
Megan's completion times for the 6 games and her
completion times for the 5 games?
A) The mode of the 6 completion times decreased.
B) The median of the 6 completion times remained
the same.
C) The mean completion time per game for the
6 games increased by 2.9 minutes.
D) The mean completion time per game for the
6 games decreased by 30 seconds.
The equation tan(30 degrees)=5/b can be used to find the length of AC.
What is the length of AC? Round to the nearest tenth.
Answer:
[tex]\huge\boxed{\sf b = 8.7 \ cm}[/tex]
Step-by-step explanation:
Given equation:
[tex]\displaystyle tan (30 \textdegree) = \frac{5}{b}[/tex]
We have to find b.
tan 30° = 0.6
[tex]\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}[/tex]
A box of breakfast cereal is 20 centimeters long, 7.5 centimeters wide, and 30 centimeters high. what is the volume of the box
Answer:
70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.
Step-by-step explanation:
70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.
Clare asks Andre to play the following number puzzle:
Pick a number
Add 2
Multiply by 3
Subtract 7
Add your original number
Andre’s final result is 27.
Which number did he start with?
Answer:
The answer is 7.
Step-by-step explanation:
7 + 2 is 9.
9 x 3 =27
27 - 7 =20.
Since the original number is 7 then we add 7 to 20.
7 + 20 = 27.
So, the number he started with is 7.
I am between 18 x 20 and 780 ÷ 2. I am a multiple of 9, and I am even. Who am I?
Answer:
378
Step-by-step explanation:
18 times 20 is 360
780 divided by 2 is 390
9 times 40 is 360 needs to be over 360
9 times 41 is 369
9 times 42 is 378 only even number
9 times 43 is 387
9 times 44 is 396 needs to be under 390
three sides of a quadrilateral are the same length. q. the length of the fourth side is 7 inches. the perimeter of the quadrilateral is 40 inches. write an equation that represents the situation
Answer:
if you are trying to find the length of the other three sides then
40 = 3x + 7
Step-by-step explanation:
