Answer: [tex]k=\frac{300}{7}[/tex]
Step-by-step explanation:
Since we know that f(5)=8, we can plug in x=5 and set that equal to 8 to find k.
[tex]8=\frac{k}{5+1} +\frac{6}{5+2}[/tex] [add denominator]
[tex]8=\frac{k}{6} +\frac{6}{7}[/tex] [get common denominator]
[tex]8=\frac{7k}{42} +\frac{36}{42}[/tex] [add]
[tex]8=\frac{7k+36}{42}[/tex] [multiply both sides by 42]
[tex]336=7k+36[/tex] [subtract both sides by 36]
[tex]300=7k[/tex] [divide both sides by 7]
[tex]k=\frac{300}{7}[/tex]
Now, we know that [tex]k=\frac{300}{7}[/tex].
6. How many 1/2 hour periods will make up 4 hours?
Answer:
8 1/2 hour periods will make up 4 hours.
Step-by-step explanation:
half an hour is 30 minutes, and there are 60 minutes in an hour. 4 hours=240 minutes. 240÷30=8.
hope this helps! best of luck <3
8. Aaron was riding his bicycle to school at a rate of 18 miles an hour down the street. As he got
closer to school, he gradually slowed his bike until he stopped at the bike rack.
Which of the graphs below best represents the change in Aaron's position over time?
Answer:
A.
Step-by-step explanation:
Aaron was riding forward, so the position graph should always be sloping upward, with his position always increasing away from home. Lastly, he slowed gradually as he got closer to the school, until he stopped at the bike rack, so the slope of X does not fit. Graph Z best fits this situation.
Answer: its Y
Step-by-step explanation: I did the study island
Find the distance between a point (6, 9) and a horizontal line at y = 5. A) 4 B) 11 C) 15 D) 14
Answer: A.) 4
Step-by-step explanation:
Given the following:
Horizontal line y = 5
Point (6, 9)
Distance between point (6, 9) and horizontal line y = 5
For point (6,9) ; x1 = 6, y1 = 9
Horizontal line : y = 5
Hence, distance between the two points will be the difference between the the y values :
y1 - y = 9 - 5 = 4
Hence, the distance between a point (6, 9) and a horizontal line at y = 5 is 4
What is the y-intercept of:
y = x2 - 6x + 5
Answer:
the y intercept is (0,5)
Step-by-step explanation:
9. Apply The number of people in the United States who are at least 100
years old grew about 66% from 1980 to 2010. Write that information as a
conditional statement.
Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Step-by-step explanation:
A really simple conditional statement can be written as:
If P, then Q
Where P is the hypothesis, and Q is the conclusion.
In this case, we know that:
"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"
This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66
Then we can write a conditional statement:
If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
11-3(a-2)=27 I NEED TO SHOW WORK HELP
Answer:
3.3 recurring
Step-by-step explanation:
1) expand bracket
11-3a+6=27
2)rearrange equation
11+6=27+3a
11+6-27=3a
17-27=3a
-10=3a
-10/3=a
a=3.3 recurring
Answer:
a= - [tex]\frac{10}{3}[/tex] or -3.33
Step-by-step explanation:
[tex]11-3(a-2)=27[/tex]
subtract 11 on both sides; 27-11=16
[tex]-3(a-2)=16[/tex]
divide both sides by -3
[tex](a-2)=-\frac{16}{3}[/tex]
add 2 on both sides
[tex]a=-\frac{16}{3} +2[/tex]
a=[tex]-\frac{10}{3}[/tex]
How would the underline look like
Answer:
the correct answer is C
All sale items are marked an additional 10% off the sale price. If a coat that originally costs $110 is on sale for 25% off, what is the new sale price? Is this a reduction of 35% off the original price
Answer:
The new sales price is $74.25
Step-by-step explanation:
110 x 0.25 = 27.5
110 - 27.5 = 82.5
82.5 x 0.10 = 8.25
82.5 - 8.25 = 74.25
Simply discounting 35% off the original price does not work in this specific problem.
Lana uses 0.2 pounds of peaches in each mini pie she makes. How many mini pies can she make with 2.50 pound of peaches?
Answer:
12.5 mini pies
Step-by-step explanation:
0.2 pounds can make 1 mini pie
therefore 2.5 pounds can make 2.5/0.2 = 12.5 pies
Answer:
12.5 mini pies
Step-by-step explanation:
You divide 2.50 by 0.2
[tex]2.50/0.2=12.5[/tex]
Which equation has a graph that is a parabola with a vertex at (-2, 0)?
y=-2x2
.y=(x + 2)2
O y = (x - 2)2
o y=x-2
Answer: B
y=(x+2)^2
Step-by-step explanation:
e2020
Answer:
B
Step-by-step explanation:
Brainliest? lol
the quotient of 15 and y
Answer:
Because we are working with a variable (y) and we don't know what number it represents, we can only write down what the calculation would be, but we can't get the actual number answer.
15/y
Step-by-step explanation:
A quotient is the answer to a division.
The statement "the quotient of 15 and y" can be written as 15/y
We have,
The statement "the quotient of 15 and y".
This can be written as,
15/y
The expression "15/y" represents the quotient of 15 and y.
When you divide 15 by y, you are calculating the quotient or the result of the division.
The numerator (15) represents the dividend, which is the number being divided, and the denominator (y) represents the divisor, which is the number by which you divide.
Thus,
The statement "the quotient of 15 and y" can be written as,
15/y
Learn more about expressions here:
https://brainly.com/question/3118662
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Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope.
Answer:
y=9
Step-by-step explanation:
no matter what y is there is no +b so it would be a constant straight line. y=3(3) and there is no y intercept. hope this answers your question
-does anyone understand Stand this also does anyone else need help
Answer:
I think its j
Step-by-step explanation:
Answer: Choice F) [tex]x \le -5[/tex]
====================================================
Explanation:
One long rectangle represents x. Four of them represent 4x
One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.
So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12
The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.
----------------
The inequality we need to solve is [tex]4x+12 \le -8[/tex]
We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x
This is what the steps would look like:
[tex]4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \ \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \ \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\[/tex]
The inequality sign does not flip since we did not divide both sides by a negative number.
it takes 3/5 of a gallon of paint to cover 2/3 of a wall. how many gallons is this per wall
Answer:
9/10
Step-by-step explanation:
3/5 gallon paint = 2/3 of wall
if you divide 3/2 each side then...
9/10 gallon of paint = 1 wall
Answer:
1/5 of a wall
Step-by-step explanation:
if you take 3/5 and divide it by 2/3 then you get 1/5
A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.
Answer: 12.5 cm
Step-by-step explanation:
Equation would be:
1:80
?:1000
So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.
The width of the lake on the scale drawing is 12.50 cm
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
The scale drawing is usually reduced at a constant dimension
Dimension of the scale drawing = original dimensions / scale of the drawing
The scale is 1 cm to 80m
Thus, the width of the lake on the drawing = 1000 / 80 = 12.50cm
To learn more about scale drawing, please check: https://brainly.com/question/1175428?referrer=searchResults
Which phrase is equivalent to “Franco must work a minimum of 32 hours”? The number of hours Franco works must be less than 32. The number of hours Franco works must be greater than 32. The number of hours Franco works must be less than or equal to 32. The number of hours Franco works must be greater than or equal to 32.
Answer:
The number of hours Franco works must be greater than or equal to 32.
Step-by-step explanation:
The number of hours Franco works is greater than or equal to 32. Then the correct option is D.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
The statement is given below.
“Franco must work a minimum of 32 hours”
Let x be the number of hours France works.
According to the statement, the inequality equation will be given as
x ≥ 32
The number of hours Franco works is greater than or equal to 32.
More about the inequality link is given below.
https://brainly.com/question/19491153
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how do you know if an number composite or not
Answer:
A prime number has only two factors: 1 and itself. A composite number has more than two factors
Step-by-step explanation:
Can i have a thanks?
Use the Distributive Property to multiply 9 and 37 in your head.
What is the answer?
Answer:
The answer is 333.
Step-by-step explanation:
Using the distributive property, you can do:
9 x 30 = 270
9 x 7 = 63
270 + 63 = 233.
Then, just check with a calculator. It's correct.
Hope this helps!
Answer: 333
Step-by-step explanation:
9x(30+7) = (9x30) + (9x7)
270+63=333
MAYBE THIS IS EASY BUT I STILL DOMT GET IT :c
Answer:
What's the question???
Answer:
Cool can you give me brainliest
Step-by-step explanation:
Question 3
1 pts
Which number could be used as a counterexample to show that the conjecture
"All multiples of 3 are odd" is false?
12
027
O 33
O 15
The correct answer is A. 12
Explanation:
In mathematics, odd numbers are those numbers that cannot be divided into 2 without using a decimal number, for example, 13 ÷ 2 = 2.5 (decimal number). This does not occur with even numbers such as 26 because these can be divided into 2 and the result is an integer rather than a decimal (26 ÷ 2 =13).
On the other hand, a counterexample is a situation that shows an exception to the rule. In the rule "All multiples of 3 are odd", one counterexample is the number 12 because this is an even number (12 ÷2 = 6). Moreover, this number is a multiply of 3 as 3 can be multiplied by 4 to obtain 12, which shows multiplies of 3 can be even numbers.
Amy invested in three companies: 1400 dollars for Apple, 1900 dollars for Google and 1700 dollars for Starbucks. Over the course of one year, she found that Apple went down 4 percent, Google went up 5 percent and Starbucks went up 3 percent. What is the average change in her portfolio?
Loss in apple [tex]=1400\times \dfrac{4}{100}= 56[/tex]
Present value = 1400 - 56 = $1344 .
Loss in google [tex]= 1900\times \dfrac{5}{100}=95[/tex]
Present value = 1900 + 95 = $1995 .
Loss in Starbucks [tex]=1700\times \dfrac{3}{100}=51[/tex]
Present value = 1700 + 51 = $1751 .
Total investment , T = 1400 + 1900 + 1700 = $5000 .
Gain , G = 56 + 95 + 51 = $202 .
% increase [tex]=\dfrac{202}{5000}\times 100 = 4.04 \%[/tex]
Hence , this is the required solution .
Can someone help pls the question in the pic (geometry)
Answer:
Reflection over y axis, and translate right 1
Step-by-step explanation:
Hamburgers come in packs of 20, while buns come in packs of 12 what is the least number of packs you should buy in order to have the same numbers of hamburgers and buns?
simply: -2 1/3 - (-10 1/6)
Answer: 7.83
Step-by-step explanation:
Answer:
−8/3≈−2.666666667
Step-by-step explanation:
-2 1/3 - (-10 1/6)
Multiply −2 times 2/1=0.5.
−1−10×( 1/6 )≈−2.666666667
Multiply 10 and 1/6≈0.166666667 to get 10/6≈1.666666667
−1− 10/6 ≈−2.666666667
Reduce the fraction 10/6 ≈1.666666667 to lowest terms by extracting and canceling out 2.
−1−5/3 ≈−2.666666667
Convert −1 to fraction −3/3 =−1.
− 3/3−5/3≈−2.666666667
Since −3/3 =−1 and 5/3 ≈1.666666667 have the same denominator, subtract them by subtracting their numerators.
−3−5/3 ≈−2.666666667
Subtract 5 from −3 to get −8.
-8/3=−2.666666667
Does someone have this kind of problem?
Answer:
Yes :<
Step-by-step explanation:
Hmm.. maybe f-1 (x) has a y-intercept of (0,-36).
Describe the shape of the distribution shown in the dot plot.
The dot plot displays the golf scores from a golf tournament.
140
132
134
136
138
golf score (strokes)
A. Uniform
B. Bimodal
C. Left-Skewed
D. Right-Skewed
E. Symmetrical
F. Bell-shaped
Answer:
The answer is C. Left-Skewed
The rate of auto thefts doubles every 5 months.
(a) Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto thefts as a function of time in
months.
(b) Find the tripling time to the nearest tenth of a month.
months
I think first one is the answer
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12(p - 5) - 12 = 0
Please help quick!!!!! This is due at 8:00 AM!!!!!
what is 2*2 please answer this question
Answer:
4
Step-by-step explanation:
Answer:
5-1
Step-by-step explanation:
(3 + 2i) - (5 -7i) Write answer in standard form a +bi
(3 + 2i) - (5 - 7i)
Distribute the - sign
3 + 2i - 5 + 7i
Combine like terms
-2 + 9i