Answer:
hope this helps
Step-by-step explanation:
[tex]a^{6\\}[/tex]
to do this you factor the numerator and denominator and then you cancel the common factors
to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?
Using proportions, it is found that he was supposed to read the book in 10 days.
This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:40 pages - x days
25 pages - x + 6 days
Applying line multiplication, as it is an inverse rule of three:
[tex]40x = 25(x + 6)[/tex]
[tex]40x = 25x + 150[/tex]
[tex]15x = 150[/tex]
[tex]x = \frac{150}{15}[/tex]
[tex]x = 10[/tex]
He was supposed to read the book in 10 days.
A similar problem is given at https://brainly.com/question/24372153
13) When simplified, -2(x + 4) 3(2x + 1) is equivalent to
Answer:
-6(x=4)(2x+1)
Step-by-step explanation:
Just multiply -2 x 3
Hope this helps! :)
Will give brainliest!
Answer:
1.) 1 1/3
2.) 6/7
Step-by-step explanation:
1.) 16/12 = 4/3 = 1 1/3
2.) Add the numerators if the denominators are the same already
Answer:
1. 1 1/3
2. 6/7
3. 1 1/4
Step-by-step explanation:
For the first one, the question is to reduce 16/12. So we need to see how many 12's there are in 16 --> 1. Because 16 - ( 12 · 1 ) = 4. We can't fit another 16 in four! Therefore the answer is 1 4/12 because the remainder that we solved above is 4. It can be simplified to 1 1/3.
5/7 + 1/7 is 6/7 because the denominator of the fractions are the same all you have to do is add the numerators together and leave the denominator 7:
5 1 6
----- + ------ = -------
7 7 7
To reduce 25/20 all you have to do is see how many 25's are in 20. Which is 1. 25 - ( 20 · 1 ) = 5. But there is still 5 left over so it would be: 1 5/20. Which can be simplified as 1 1/4
HOPE THIS HELPS :)
Answer Please will give brainliest.
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.
Graph the line with slope 1 passing through the point (2, 4). make an actual graph. help plis 21 point!
Answer:
y=x+2
Step-by-step explanation:
since the slope is 1, we have y=x +b. now plug in the point (2,4) to get 4=2+b, b=2, so the graph is y=x+2
Please help! Also dont send any links; it doesn't work for me
Answer:
Step-by-step explanation:
-1 to 0 is divided in four parts.
similarly 0 to 1 is divided in four parts
so each fraction on either side is 1/4 onthe right of 0 and -1/4 on the left of 0.
A is 2 parts on the right of 0,A=2×1/4=1/2=0.5
Bis 1 part left of 0,B=1×(-1/5)=-1/5=-0.2
what are possible ratios for 16 to 32
Answer:
1:3
Step-by-step explanation:
To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.
The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2
Hope it helps
Which of the playground’s features are more than 25 feet away from the swings? Choose the THREE correct answers.
The playground’s features are more than 25 feet away from the swings are;
Sandbox, Water fountain, Jungle gym
Looking at the given graph, the distances of the other features from the swing are;
For sandbox; 8 units
For restroom; 4 units
For water fountain; 9 units
For Jungle gym; 7 units
Bench; 5 units
Now we are told that each units on the graph represents 5 ft.
Thus, the respective distances from the swing are;
Sandbox to swing = 8 × 5 = 40 ft
Restroom to swing = 4 × 5 = 20 ft
Water fountain to swing = 9 × 5 = 45 ft
Jungle gym to swing = 7 × 5 = 35 ft
Bench to swing = 5 × 5 = 25 ft
Thus, the playground’s features are more than 25 feet away from the swings are;
Sandbox, Water fountain, Jungle gym
Read more about interpretation of graphs at; https://brainly.com/question/1638242
Pls help asap, whoever answers gets brainliest, 5 stars, and a thanks!
[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]
[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]
[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]
Done
6 weeks to 12 days answer?
opposite reciprocal of 1/3
Answer:
-1/3
Step-by-step explanation:
hope this helps
4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.
a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced
b. Express the total expenso E in terms of p.
c. Determine the Revenue R in terms of p. (Hint: R=p•q).
d. Determine the profit P in terms of p. (Hint: P=R-E).
e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).
f. Determine the maximum profit.
Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
Read more about revenue, expenses and profit at:
https://brainly.com/question/23103804
a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant at the 1% level?
Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The proportions and their respective standard errors are given by:
[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]
[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]
For the distribution of the difference, the mean and the standard error are given by:
[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]
The test statistic is:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]
[tex]z = 1.9[/tex]
The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]
Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
A similar problem is given at https://brainly.com/question/25728144
True or False: The U.S. Bureau of the Census provides information that is useful for defining the denominator in rates.
Answer:
True
Step-by-step explanation:
Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.
can i have help please
Select all statements that are true about the triangles.
Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices
Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.
Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.
There is not enough information to determine if the triangles are congruent
Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
9w = -54
what does w =
Answer:
w = -6
Step-by-step explanation:
[tex]9w=-54~(Given)\\\\\frac{9w}{9}=\frac{-54}{9}~(Divide~9~on~both~sides)\\\\w=-6~(Simplify)[/tex]
plz help me plz plz plz
plz
Answer: 549
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!!
Evaluate x - (y - z) and (x- y) - z for y = 3, x = 5, z = 4. Is there any associative property of subtraction
Answer:
There is no associative property of subtraction.
Step-by-step explanation:
Given:
x = 5y = 3z = 4x - (y - z) = 5 - (3 - 4) = 5 - (-1) = 5 + 1 = 6
(x - y) - z = (5 - 3) - 4 = 2 x -4 = -6
Therefore, there is no associative property of subtraction as 6 ≠ -6
(1/3)^-2 + (1/4)^-2 = (125)^x
Find the value of x?
Given that :(1/3)^-2 + (1/4)^-2 = 125^x
⇛[1/(1/3)]²+[1/+1/4)]² = 125^x
Since a^-n = 1/a^n
⇛ (3)²+(4)² = 125^x
⇛ (3×3)+(4×4) = 125^x
⇛ 9+16 = 125^x
⇛25 = 125^x
⇛ 5² =( 5³)^x
⇛ 5² = 5^(3x)
Since (a^m)^n = a^mn
⇛ 2 = 3x
Since the bases are equal then exponents must be equal
⇛3x = 2
⇛ x = 2/3
Therefore,x = 2/3
Answer:- The value of x for the given problem is 2/3.
also read similar questions:- evaluate 1. 5x = 125(x-2) 2. 2(x + 3) = 4 (x + 4)..
https://brainly.com/question/25473629?referrer
expand the expression, image attached giving brainliest please help
(2m + n) (2n -m)
2m×2n-2m×m+n×2n-mn
4mn-2m^2 +2n^2-mn
4mn-mn-2m^2+2n^2
3mn-2m^2+2n^2
Help me guys!
Fill in the table using this function rule.
y = -2x+3
10) Consider two lines. Line A is given by the function f(x) = 4x − 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B.
Answer:
B) Line A has a greater slope than Line B.
Step-by-step explanation:
When looking at [tex]f(x)=4x-9[/tex] is basically the same way of saying [tex]y=4x-9[/tex]
which is in slope-intercept form. Because of that, we know that the slope of line A is 4.
To find the slope of line B we have to use the slope formula
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{7}{2}[/tex] as a decimal [tex]m=3.5[/tex]
So line A slope = 4 and line B slope = 3.5
Which makes line A slope greater than line B slope
9/12 as an equivelant fraction
Answer:
3/4
Step-by-step explanation:
9/12
Divide the top and bottom by 3
9/3 = 3
12/3 = 4
The fraction becomes 3/4
Pls help thank you for those who put hard work
Step-by-step explanation:
given,
a = 18
given expression,
a + 8
a/q
18 + 8 = 26
therefore, correct answer is 26.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Among all the paintings in an art exhibit, 60% are oil paintings, and the remaining 40% are watercolor paintings. Among the oil paintings, 5% of them are abstract. Among the watercolor paintings, 10% of them are abstract. What percent of the paintings in the art exhibit are abstract? I give thanks!
Answer:
7%
Step-by-step explanation:
Solve:
2/5 + 4/10 = ?
BRAINLIEST AND POINTS IF U ANSWER GOOD PLS ANSWERR
A 6/10
B 6/15
C 2/15
D 8/10
Answer:
Option D is correct.
Step-by-step explanation:
2/5 + 4/10
=> 2/5 + 2/5
=> 4/5
4/5 = 8/10
Therefore, Option D is correct.
Hoped this helped.
100 points if u get this right ty have a nice day !
Answer:
its 32 yards if I'm correct
Step-by-step explanation:
I'm not for sure but I remember doing something like this
please answer this for me!!
Answer:
x = 40
y = 8
Step-by-step explanation:
3x-9 = 2x+31
3x-2x = 31+9
x = 40
4y+5 = 2y+21
4y-2y = 21-5
2y=16
y=8
