There are no answer choices, so I will just list a few. But first, we need to create the equation.
Plugging in (5,7) into the equation y=mx+b, we can solve for b since all of the other variables are known, with m=3 as the slope.
So, 7=3*5+b
7=15+b
b = -8
y=3x-8 is your equation.
So, you can plug in any value of x you get a certain value of y.
(1,-5), (2,-2), (3,1), (4,4), (5,7), (6,10), (7,13)
Answer:
(6, 10)
Step-by-step explanation:
slope = [tex]\frac{change in y}{change in x}[/tex] = [tex]\frac{3}{1}[/tex]
to find another point on the line add 3 to the y-coordinate and add 1 to the x-coordinate
(5, 7) → (5 + 1, 7 + 3) → (6, 10) ← other point on line
continue to do this for other points
(6, 10) → (6 + 1, 10 + 3) → (7, 13)
Sue sold 26 more newspapers than bill, and bill sold three times as many as Harry. If Harry sold p newspapers, how many did Sue sell?
Answer:
3p + 26
Step-by-step explanation:
Let S = Sue's newspapers sold
B = Bill's newspapers sold
H = Harry's newspapers sold.
We have three conditions:
(1) S = B + 26
(2) B = 3H
(3) H = p Substitute (3) into (2)
(4) B = 3p Substitute (4) into (1)
S = 3p + 26
Sue sold 3p + 26 newspapers.
there are 820 people 65% of them are adults and 20% are boys how many girls are there
Answer:
123
Step-by-step explanation:
Assuming that 85% of the total was either adults or boys, we can subtract
100-85
=15
Therefore, that 15% is girls
820*.15
=123
rounding decimals 4.3
Answer:
Step-by-step explanation:
If you round 4.3 to the nearest whole number, you will get 4.The reason is because a number less than 5 is closer to 4 but a number greater than five or is five will be rounded to five.
Please mark brainliest!!!!!!!
The length of a rectangle is 8 cm longer than its width . Its perimeter is more than 28cm . If W represents the width of the rectangle what expression represents the length in terms of the width
Answer:
W + 8
Step-by-step explanation:
Given:
The length of the rectangle is 8 cm longer than its width.
Let's take "W" be the width.
Length = W + 8
The expression "w + 8" represents the length of the rectangle.
Thank you.
Answer:
L=W+8
Step-by-step explanation:
This means that whatever number of centimeters the width is, you will always add 8 centimeters in order to reach the size of the length. In order to calculate the perimeter of the rectangle you have to add all its four sides and the final formula would be as follows:
W+W+L+L=P, where W is Width and L, is Length (W+8).
In other words, you can calculate as shown below:
W+W+(W+8)+(w+8)=P
Solve the following subtraction problems. a. 8 mi. 133 yd. 2 ft. – 5 mi. 107 yd. 2 ft. b. 2 yd. 2 ft. 6 in. – 1 ft. 11 in. c. 6 yd. – 2 ft. 7 in. d. 8 yd. 4 in. – 7 yd. 2 ft. 8 in.
Let's keep in mind the conversion factors between mile, yard, feet and inches:
1 mile = 1760 yards
1 yard = 3 feets
1 feet = 12 inches
a) 3 mi. 26 yd.
We have:
8 mi. 133 yd. 2 ft. –
5 mi. 107 yd. 2 ft =
Here, we can simply do the substraction of each term, and we get:
(8-5) mi (133-107) yd (2-2) ft =
3 mi. 26 yd 0 ft =
3 mi. 26 yd.
b) 2 yd. 7 in.
We have:
2 yd. 2 ft. 6 in. –
0 yd. 1 ft. 11 in.
Here, we need to convert 1 feet into 12 inches and add them to the inches in the first term as follows:
2 yd. 2 ft. 6 in. = 2 yd. 1 ft. (6+12) in. = 2 yd. 1 ft. 18 in.
So now the subtraction becomes:
2 yd. 1 ft. 18 in. –
0 yd. 1 ft. 11 in.
and now we can simply do the substraction of each term, and we get:
(2-0) yd. (1-1) ft. (18-11) in. =
2 yd. 0 ft. 7 in. =
2 yd. 7 in.
c) 5 yd. 5 in.
We have:
6 yd. 0 ft. 0 in. –
0 yd. 2 ft. 7 in.
We have to "move" 1 yard into feets and inches in the first term, as follows:
6 yd. 0 ft. 0 in. = 5 yd. 3 ft. 0 in. = 5 yd. 2 ft. 12 in.
And now the subtraction becomes:
5 yd. 2 ft. 12 in. -
0 yd. 2 ft. 7 in. =
5 yd. 0 ft. 5 in. =
5 yd. 5 in.
d) 8 in.
We have:
8 yd. 0 ft. 4 in. –
7 yd. 2 ft. 8 in.
Again, let's convert the first term, moving yards into feets and inches:
8 yd. 0 ft. 4 in. = 7 yd. 3 ft. 4 in. = 7 yd. 2 ft. (4+12) in. = 7 yd. 2 ft. 16 in.
So now the subtraction is:
7 yd. 2 ft. 16 in. -
7 yd. 2 ft. 8 in. =
0 yd. 0 ft. 8 in. =
8 in.
HELP FAST! 15 POINTS! PLEASE HELP!
which table shows a proportional relationship between x and y ?
Answer:
Step-by-step explanation:
Basically, in each option, you have to find the relationship between x and y (for one pair). Like in option #1 - how do you get 1.5 from 3? divide it by 2. Now you apply it for all numbers. It the outcome the same? No. 7 ÷ 2 ≠ 3.
You do the same process for all, until you are left with the last one. y = 50x
The last option is the answer.
Use the substitution method to solve the system of equation.choose the correct ordered pair.
2y+4x=18
2y-3x=4
[tex]\left\{\begin{array}{ccc}2y+4x=18\\2y-3x=4&\text{add 3x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2y+4x=18&(**)\\2y=3x+4&(*)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\3x+4+4x=18\qquad\text{subtract 4 from both sides}\\7x=14\qquad\text{divide both sides by 7}\\\boxed{x=2}\\\\\text{Put the value of x to the first equation:}\\\\2y+4(2)=18\\2y+8=18\qquad\text{subtract 8 from both sides}\\2y=10\qquad\text{divide both sides by 2}\\\boxed{y=5}\\\\Answer:\ \boxed{x=2\ and\ y=5}[/tex]
Find two numbers if their difference is 90, and their ratio is 5:8.
Answer:
150 and 240 are the two numbers having difference as 90 and ratio as 5 : 8.
Step-by-step explanation:
Since ratio of two numbers is 5 : 8 ,
lets assume two numbers be 5x and 8x.
Difference of two numbers = 8x - 5x = 90
⇒3x =90
⇒x = 90/3=30
so two numbers are 5x = 5 × 30 = 150 and 8x = 8 × 30 = 240
Hence 150 and 240 are the two numbers having difference as 90 and ratio as 5 : 8.
3x+6y=-9 and X+2y=-3
[tex]\left\{\begin{array}{ccc}3x+6y=-9&\text{divide both sides by (-3)}\\x+2y=-3\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x-2y=3\\x+2y=-3\end{array}\right}\qquad\text{add both sides of the equations}\\. \qquad\qquad0=0\qquad TRUE\\\\Answer:\ \boxed{\text{Infinitely many solutions}}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=-\dfrac{1}{2}x-\dfrac{3}{2}\end{array}\right[/tex]
In a auditorium, there are 9 rows of 18 seats in each row. There are also 6 rows of seats with 24 seats in each row. How many seats are in the auditorium? Estimate first. Check for reasonableness.
Answer:
306
Step-by-step explanation:
9 times 18= 162
24 times 6= 144
144+162=306
use the coordinates of the labeled points to find a point-slope equation of the line. (3,-4)
Answer:
slope=-3
y=-3x+5
Step-by-step explanation:
use two given points (3,-4)(0,5)
5- -4= 9
0-3=-3
9/-3=-3
Answer: [tex]y+4=-3(x-3)[/tex]
Step-by-step explanation:
The point-slope equation of a straight line is:
[tex]y-y_{1}=m(x-x_{1} )[/tex]
where m is the slope and [tex](x_{1}, y_{1} )[/tex] are the coordinates of a point in the line.
So, to find the equation, the firs step is to find the slope. We can see in the graphic that the line intercepts the y axis at the point (0, 5), so we're going to use that and the other given point to find the slope:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{-4-5}{3-0} =\frac{-9}{3}=-3[/tex]
Then, you simply substitute the slope and the coordinates of the point and you get the point-slope equation:
[tex]y-(-4)=-3(x-3)\\y+4=-3(x-3)[/tex]
Need help with Mathematics. I can't copy and paste so I screenshot it
Answer: 1.44
Step-by-step explanation:
1.2×1.2
1.2
1.2
__
24
120
__
144
Add two decimal places: 1.44
Answer:
1.44
Step-by-step explanation:
1.2^2 = 1.2 * 1.2
1.2 * 1.2 = 1.44
Your just finding the squad route of it. It can also be done the same way when your ^3 or even ^4 since its all timing the same number. Hope this helps out!
Dianna earns $8.50 an hour working as a lifeguard write an equation to find Dianna’s money earned?
August hosted two dinner parties for his friends. Twenty guests attended the first party, and twenty-six guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?
Answer: 30%
Step-by-step explanation:
The first step is to find the increase in numbers
26-20= 6
Now you find the percent. This means you're looking for the percent 6 is equal to when compared to 20. The easiest way is to divide the increase by the original number
6/20= 0.3
To convert that to percent, multiply it by 100
0.3 * 100= 30%
There was a 30% increase.
Final answer:
To calculate the percentage increase of guests from August's first party to the second, subtract the initial number from the final number, divide by the initial number, and multiply by 100. The calculation shows a 30% increase in guests from 20 to 26.
Explanation:
The question asks to calculate the percentage increase in the number of guests from the first dinner party to the second dinner party hosted by August. To find the percentage increase, you subtract the original number of guests from the new number of guests, divide by the original number, and then multiply by 100 to get the percentage.
We start with the initial number of guests at the first party, which is 20, and the final number of guests at the second party, which is 26. Using the formula:
Percentage Increase = ((Final Number - Initial Number) / Initial Number) × 100
Percentage Increase = ((26 - 20) / 20) × 100
Percentage Increase = (6 / 20) × 100
Percentage Increase = 0.3 × 100
Percentage Increase = 30%
Therefore, the percentage increase of the number of guests from the first party to the second party is 30%.
helpppppppppppppppppppppppppppppppppppppp
Answer:
For every 15 students scoring in the 60's there were 9 students scoring in the 70's.
Step-by-step explanation:
Your first step would be to rewrite the numbers into an easier to understand form like fractions, 45/3 and 27/3. Then you divide both numbers by 3, so you get comparable numbers. 45/3= 15, 27/3=9.
HELP! Convert this identity to one using sine terms only !
1-2 cos^2 r=
A. -1-sin^2r
B. 2sin^2r-1
C. 1-2sin^2t
Please explain!
Answer:
option B is correct.
[tex]2\sin^2r - 1[/tex]
Step-by-step explanation:
Given the expression: [tex]1-2\cos^2r[/tex] ......[1]
Using trigonometric identities:
[tex]\sin^2r+ \cos^2r = 1[/tex]
We can rearrange this as;
[tex]\cos^2r = 1-\sin^2r[/tex] ......[2]
Substitute equation [2] into [1] we get;
[tex]1-2(1-\sin^2r)[/tex]
Using distributive property: [tex]a\cdot (b+c) = a \cdot b + a\cdot c[/tex]
[tex]1- 2 +2sin^2r[/tex]
or
[tex]-1+2\sin^2r[/tex]
therefore, the given expression in terms of sine terms is; [tex]2\sin^2r-1[/tex]
Huma, Hubna and Seema received a total of ₨2,016 as monthly allowance from their mother such that Seema gets 12 of what Huma gets and Hubna gets 123 times Seema’s share. How much money do the three sisters get individually?
i need correct answer no signs used
Answer:
Huma's share =Rs x = Rs. 1.35392881
Seema's share =Rs. 12x = Rs (12 * 1.35392881) = Rs. 16.2471457
Hubna's share =Rs. 123*12x = Rs. (123*16.2471457) = Rs. 1998.39892
Step-by-step explanation:
Given :
Huma , Hubna and Seema received a total of ₨2,016 as monthly allowance from their mother.
Seema gets 12 of what Huma gets
Hubna gets 123 times Seema’s share
To find : How much money do the three sisters get individually?
Solution :
Let Huma's share be Rs. x.
Since we are given that Seema gets 12 of Huma's share
⇒ Seema's share = Rs 12x.
Since we are given that Hubna gets 123 times Seema’s share
⇒Hubna's share = Rs. (123 * 12x) = Rs. 1476x.
We are given that they received together Rs. 2016 in total .
⇒[tex]x+12x+1476x= 2016[/tex]
⇒[tex]1489x= 2016[/tex]
⇒[tex]x = \frac{2016}{1489}[/tex]
⇒[tex]x = 1.35392881[/tex]
Thus Huma's share =Rs x = Rs. 1.35392881
Thus Seema's share =Rs. 12x = Rs (12 * 1.35392881) = Rs. 16.2471457
Thus Hubna's share =Rs. 123*12x = Rs. (123*16.2471457) = Rs. 1998.39892
At the popular restaurant Fire Wok,
55% of guests order the signature dish.
What fraction of guests order the signature dish?
Answer:
11/20
Step-by-step explanation:
Answer: [tex]\dfrac{11}{20}[/tex] represents the fraction of guests order the signature dish.
Step-by-step explanation:
Since we have given that
Percentage of guest who order the signature dish = 55%
Total percentage = 100
We need to find the fraction of guests order the signature dish.
So, Fraction of guests order the signature dish is given by
[tex]\dfrac{\text{Percentage of guest order the signature dish}}{\text{Total percentage}}\\\\=\dfrac{55}{100}\\\\=\dfrac{11}{20}[/tex]
Hence, [tex]\dfrac{11}{20}[/tex] represents the fraction of guests order the signature dish.
Find the illegal values of b in the fraction
Answer:
[tex]b=4\text { or }b=-2[/tex]
Step-by-step explanation:
We have been given a rational expression: [tex]\frac{2b^2+3b-10}{b^2-2b-8}[/tex] and we are asked to find the illegal values of b.
Illegal values of b will be those values, which will make our denominator 0.
To solve for illegal or excluded values of b, let us set our denominator equal to 0.
[tex]b^2-2b-8=0[/tex]
We will factor out our equation by splitting the middle term.
[tex]b^2-4b+2b-8=0[/tex]
[tex]b(b-4)+2(b-4)=0[/tex]
[tex](b-4)(b+2)=0[/tex]
[tex]b-4=0\text { or }b+2=0[/tex]
[tex]b=4\text { or }b=-2[/tex]
Therefore, [tex]b=4\text { or }b=-2[/tex] are illegal values of b in the given fraction.
How to write a linear function with the values f(3)=-4 f(5)=-4
To write a linear function with the given values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation. The linear function is y = -4.
Explanation:To write a linear function with the given values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation. The formula for point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. We can choose any point (x1, y1) from the given values. Let's choose (3, -4) as a point on the line. Now we can substitute the values into the formula to find the linear function:
y - (-4) = m(x - 3)
y + 4 = m(x - 3)
To find the slope, we can use another point on the line, such as (5, -4). Substituting the values into the formula, we get:
-4 + 4 = m(5 - 3)
0 = 2m
Solving for m, we get m = 0.
Now we can substitute the slope and one of the points back into the formula to find the linear function:
y + 4 = 0(x - 3)
y + 4 = 0
y = -4
So, the linear function with the given values is y = -4.
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Given values f(3) = -4 and f(5) = -4 suggest a horizontal line as the y-coordinate remains constant at -4 regardless of x values. Hence, the linear function is f(x) = -4.
Explanation:The student wants to know how to write a linear function with the values f(3)=-4 and f(5)=-4. The first thing we need to understand here is that a linear function is represented by the equation y = mx + b, where y is the output, m is the slope, x is the input, and b is the y-intercept. In this problem, since f(3) = -4 and f(5) = -4, it indicates that the y coordinate remains the same (-4), thus forming a horizontal line despite the changes in the x coordinates. This means the function has a slope (m) of 0. So, the linear function that satisfies these conditions is f(x) = -4.
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Write the equation in slope intercept form: Passes through = (2,3) (0,9)
Answer:
Y=-3x+9
Step-by-step explanation:
Slope is found using
9-3 over 0-2
This gets 6/-2
This gets -3
-3 is the slope
9 is the y-intercept
Please help!Which expression is equal to ....
Notice how the x-2 on the numerator and denominator cancel out, as well as the x+1. You are left with 8(x+2)/4 which is 2(x+2) which results in your answer, B, or 2x+4.
simplify yhe expression 2(10) + 2( x--4).
Suppose you toss a coin 100 times and get 69 heads and 31 tails. Based on these results, what is the probability that the next flip results in a head ?
The probability that the next flip results in a head is approximately __ ?
Answer:
69% or 69/100
Step-by-step explanation:
It's experimental odds based off of experience.
The probability of getting a head on the next flip is 69%.
Explanation:In order to determine the probability of getting a head on the next flip, we must first analyze the given data. The number of heads obtained in the first 100 flips is 69, while the number of tails is 31. Based on this information, we can calculate the proportion of heads to the total number of flips. The probability of getting a head on the next toss is therefore 69/100 = 0.69 or 69%.
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Error Analysis Mario has 7 cups of milk. A one-batch recipe for pancakes calls for two thirds cup of milk. To see how many batches he could make, Mario finds 7 divided by two thirds . He said that because 7 divided by two thirds equalsone seventh times three halves , he could make three fourteenths of a batch . What was his error? How many batches could he make?
A.
He multiplied the dividend by the divisor.
B.
He multiplied the reciprocal of the dividend by the divisor.
C.
He multiplied the dividend by the reciprocal of the divisor.
D.
He multiplied the reciprocal of the dividend by the reciprocal of the divisor.
[tex]\bf 7\div \cfrac{2}{3}\implies 7\cdot \cfrac{3}{2}\implies \cfrac{7\cdot 3}{2}\implies \cfrac{21}{2}\implies 10\frac{1}{2}~~\checkmark \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{so, what happened to Mario?}}{7\div \cfrac{2}{3}\implies \cfrac{7}{1}\div \cfrac{2}{3}}\implies \stackrel{\boxed{?}}{\cfrac{1}{7}}\cdot \cfrac{3}{2}\implies \cfrac{3}{14}~~\bigotimes[/tex]
he ended up multiplying the 7 by the 2 for some reason.
and an explanation could be he used the reciprocal of both numbers mistakenly.
Answer:
c
Step-by-step explanation:
the sum of two numbers is 76. The difference is 24. Find the two numbers doing the elimination method
Answer:
50 and 26
Step-by-step explanation:
Make an equation! That makes it much simpler and has helped me a lot.
x+x-24=76
Combine like terms
2x+24=76
Add 24 on both sides
2x=52
Divide both sides by 2
x=26
72-26=50
To check that their difference is correct, subtract 26 from 50
50-26=24
Hope this helps!
Find the value of the permutation.
8P1 ?
Answer:
8P1 = 8
Step-by-step explanation:
Permutation
The number of elements can be selected from a set of elements.
Let r be the number of elements want to select and n be the set of elements.
It can be written as nPr
nPr = n!/(n - r)!
To find 8P1
n= 8 and r = 1
8P1 = 8!/(8-1)! = 8!/7! = (8 x 7!)/7! = 8
Therefore 8P1 = 8
HELP FAST 100 POINTS: The manager of a basketball arena randomly selected 150 fans and asked if they were pleased with the new selection of food offered in the arena. In this sample, 120 fans said that they were pleased.
How many of the 8000 fans at the game could be expected to be pleased?
7880
6400
7970
7850
Answer:
6400 fans will be pleased.
Step-by-step explanation:
Out of 150 fans, 120 were pleased. Assuming the same ratio, out of 8000 fans, 8000x120/150 = 6400 will be pleased.
Answer:
6400
Step-by-step explanation:
We need to find the fraction of fans that are pleased
120 out of 150 are please
120/150 = 12/15 =4/5
We multiply this fraction by the fans at the game
4/5 * 8000 = 6400
6400 fans should be pleased
Which expression will give the new price of a $15 item marked up by 28%
A. 28+0.15 X 28
B. 28-0.15 X 28
C. 15+0.28 X 15
D. 15-0.28 X 15
Answer:
the answer is
C
if i am wrong let me know
Step-by-step explanation:
T-shirts are sold in packages of 4.The store’s 139 employees will each be given 5 t-shirts. How many packages will the store need to order?
Answer:
174 packages of t-shirts PLEASE GIVE BRAINLIEST
Step-by-step explanation:
139 x 5 = 695 t-shirts are needed
695 ÷ 4 = 173.75
Since you have to purchase whole packages of t-shirts you will need to buy 174 packages of t-shirts. 174 x 4 = 696 t-shirts
174 packages