Answer:
19y - 34x = 376
Step-by-step explanation:
We are to write the linear equation of a line passing through the points
(-20, -16), (-1, 18)
Using the points slope form of the equation expressed as;
y-y0 = m(x-x0)
m is the slope
(x0,y0) is any point on the line
m = y2-y1/x2-x1
m = 18-(-16)/-1-(-20)
m = 18+16/-1+20
m = 34/19
Substitute the slope m =34/19 and the point (-1, 18) into the expression given
y- 18 =34/19(x-(-1))
19(y-18) = 34(x+1)
19y - 342 = 34x+34
19y-34x = 34+342
19y - 34x = 376
Hence the required equation is 19y - 34x = 376
Scott will run at least 25 miles this week. so far he has run 16 miles . what are possible numbers of additional miles he will run?
use t for the additional miles he will run.
write your answer as an inequality solved for t.
Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?
There are 9 other CD's of a different genre.
Ivan in inventory has a whole bunch of numbers just sitting around. He wants to build a “Multiples of 2” set in his free time. How can he tell which numbers belong in this set?
Answer:
If they are divisible by 2
Step-by-step explanation:
:))
like ex.
2 4 6 8 10 12
direct and inverse variation
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
please help and show work if you can
Answer:
38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]
39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]
Step-by-step explanation:
38. Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
38 + 110 + <2 = [tex]180^{o}[/tex]
148 + <2 = [tex]180^{o}[/tex]
<2 = [tex]180^{o}[/tex] - 148
<2 = [tex]32^{o}[/tex]
Thus,
<1 = [tex]38^{o}[/tex] (alternate angle principle)
<3 = [tex]110^{o}[/tex]
Therefore;
<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]
39. <2 = [tex]28^{o}[/tex] (alternate angle principle)
So that;
sum of angles in a triangle = [tex]180^{o}[/tex]
<1 + <2 + 81 = [tex]180^{o}[/tex]
<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]
<1 + 109 = [tex]180^{o}[/tex]
<1 = [tex]180^{o}[/tex] - 109
= [tex]71^{o}[/tex]
<1 = [tex]71^{o}[/tex]
<3 = [tex]81^{o}[/tex]
<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]
Last week, Clay wrote 4 checks for $20 each from his checking account and
made one deposit of $96. What was the change in the balance of his account
over the week?*
Answer:
Step-by-step explanation:
clay will have
-80+96=16 dollars
the change in balance is +16
Find the highest common factor of 55 and 605
Answer:
55
Step-by-step explanation:
Factors for 605: 1, 5, 11, 55, 121, and 605
Factors for 55: 1, 5, 11, and 55
So the highest common factor they have is 55.
HCF = 55
The sum of three consecutive odd integers is –87. What are the integers?
A.
–31, –33, –35
B.
–30, –29, –28
C.
–31, –30, –29
D.
–31, –29, –27
Given: AACD is isosceles with angle D as the vertex angle. B is the midpoint of AC. AB= x + 5, BC= 2x - 3, and CD = 2x + 6. Find the perimeter of ∆ACD.
Answer:
70 unitsStep-by-step explanation:
Given triangle ACD
AB = BCCD = 2x + 6AB = x + 5BC = 2x - 3P = ?Perimeter is sum of the side lengths:
P = AD + CD + ACAD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
Then P is:
P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14Find the value of x from the AB = BC:
x + 5 = 2x - 32x - x = 5 + 3x = 8Then find the value of P:
P = 7*8 + 14 = 56 + 14 = 70 unitsSpecial Right Triangles
Need help don’t understand this.
Answer:
d
Step-by-step explanation:
Answer:
fourth option
Step-by-step explanation:
Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.
Thus the 2 base angles are congruent with measure 45°
Hence y = 45
-------------------------------------------------------------
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 5[tex]\sqrt{2}[/tex]
Can somebody help me with this. 35 points! :)))))
Evaluate x+5 if x=9 please help
Answer:
14
Step-by-step explanation:
if you plug in 9 for x in the equation x+5, you get 9+5
9+5=14
Answer:
14
Step-by-step explanation:
If it is x+5 and x=9 it is the as
9+5=14
So it would be 14, you just need to plug in the x
Suppose the linear regression line y = 2.009x - 37.131 predicts a pizza
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and y represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 275 pizzas?
Answer:
Pizza parlor's profit = $515.344
Step-by-step explanation:
Given that:
Linear regression line for pizza parlor's profit
y = 2.009x - 37.131
x represents the number of pizzas sold
y represent the profit in dollars
Profit for 275 pizzas
Putting x = 275 in given equation
y = 2.009(275) - 37.131
y = 552.475 - 37.131
y = 515.344
Hence,
Pizza parlor's profit = $515.344
what's the answer to question c in the graph below
Answer:
3
Step-by-step explanation:
3is tha answer of pair of shoes..
am i rght
Answer:
3
Step-by-step explanation:
3 is right answer because it is largest pair of number
Given: 8(x-1)=5x-35; Prove: x=-9
Answer:
-9
Step-by-step explanation:
8(x - 1) = 5x - 35
8x - 8 = 5x - 35
8x - 5x = 8 - 35
3x = -27
x = -27/3
x = - 9
Draw an area model to solve 774 divided by 3
Write an explicit formula for an, the nth term of the sequence 15, 12,9,....
Answer:
18-3n
Step-by-step explanation:
18-3(1)=15
18-3(2)=12
etc
etc
How will you remember the slopes of the horizontal and vertical lines?
Answer:
The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.
Step-by-step explanation:
For the equation 2x + 7 =30, x = 3
O True
O False
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
Find the percent of decrease
From 64 photos to 21 photos
Answer:
67.2
Step-by-step explanation:
64 - 21 = 43
43/64 × 100 = 67.188
Simplify:
√27x^2y^2
A) 27xy
B) 3xy
C) 3xy√3
D) xy√27
Answer:
[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]
Hence, option C is correct.
Step-by-step explanation:
Given the expression
[tex]\sqrt{27x^2y^2}[/tex]
simplifying the expression
[tex]\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{27}x\sqrt{y^2}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{27}xy[/tex]
[tex]=xy\sqrt{3^3}[/tex]
[tex]=xy\sqrt{3^2\cdot \:\:3}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=3xy\:\sqrt{3}[/tex]
Therefore,
[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]
Hence, option C is correct.
What is the final amount if 588 is decreased by 3% followed by a 6% increase?
Give your answer rounded to 2 DP.
Answer:
604.58
Step-by-step explanation:
because hegarty says its 604.58
Skyla wants to buy a massage table to start her spa business. She sees one she wants for $1,200. If she can save $13 a week, how many weeks will it take her to save up for the massage table?
Answer:
27 because you have to multipli and then divide
Answer:
about 93 weeks
Step-by-step explanation:
divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks
The graph of y= x^2 +4x +3 is shown
work out a and b please
Answer:
A.) i think it's (-2, -1)
B.) ?
Step-by-step explanation:
I am very sorry if they are wrong....i don't know B..sorry
Answer:
b = (-1,0) (-3,0)
Step-by-step explanation:
Can somebody please help me with these pleaseeeee!
At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.
Answer:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]b = blue[/tex]
[tex]y = yellow[/tex]
[tex]r = red[/tex]
Required
Represent as a matrix
For Sammy:
[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]
So, we have:
[tex]2b + 1y + 3r = 1500[/tex]
[tex]2b + y + 3r = 1500[/tex]
For Jamie:
[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]
So, we have:
[tex]1b + 2y + 2r = 1225[/tex]
[tex]b + 2y + 2r = 1225[/tex]
For Yvonne:
[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]
So, we have:
[tex]2b + 3y + 1r = 1200[/tex]
[tex]2b + 3y + r = 1200[/tex]
The system of equations are:
[tex]2b + y + 3r = 1500[/tex]
[tex]b + 2y + 2r = 1225[/tex]
[tex]2b + 3y + r = 1200[/tex]
To represent as a matrix, we have:
[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]
This gives:
[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex] [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]
How do I do this/solve help me if you know it!
Answer:
it should be B, sorry if im wrong! :(
Step-by-step explanation:
Help plz
Sharon and Kay went to a craft show with their
granddaughters. Sharon bought 1 adult ticket and 2
child tickets and spent $28. Kay brought 2 adult tickets
and 3 child tickets and spent $48. Use 'x' to represent
adult tickets and "y" to represent children tickets.
I need help pls because I am confused.
Answer:
1/8
Step-by-step explanation:
The answer before you simplyify will be 24/4. that = 6
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He used an incorrect time ratio converting hours to minutes. His units do not cancel. He used an incorrect distance ratio converting miles to feet. He incorrectly concluded that she is not running fast enough. He cannot determine her average rate in miles per hour after only 15 minutes.
Answer:
a. He used an incorrect time ratio converting hours to minutes.
d. He incorrectly concluded that she is not running fast enough.
Step-by-step explanation:
Looking at the Coach's method of conversion when converting time, he assumed that an hour had 15 minutes instead of 60 minutes. He therefore did not use the correct time ratio to convert hours to minutes.
The coach's calculations yielded an answer of 34 ft/s. This is way faster than 8.8 ft/ s so his deduction that she was not running fast enough to beat her fastest time is incorrect because at that inhumane speed, she did.
Answer: A.)He used an incorrect time ratio converting hours to minutes.
D.)He incorrectly concluded that she is not running fast enough.
Step-by-step explanation: i hope this helps :)
