Answer:
y = -3/4x + 12
Step-by-step explanation:
Use slope intercept form [ y = mx + b ], the point given, and the slope to find the y-intercept.
6 = -3/4(8) + b
6 = -6 + b
12 = b
Now input the values we are given and solved for into the formula.
y = -3/4x + 12
Best of Luck!
Lois makes customised tee-shirts. She advertises and receives orders through her own website. She buys blank tee-shirts for $1 each and $1 of fabric paint is used to produce the bespoke designs. She pays herself $6 per hour for her time to create the designs and package the teeshirts. In addition she makes a profit of 20% of the selling price. For how much will she sell a tee-shirt, if the artwork and packaging takes one and a half hours to complete?
Lois will sell her tee-shirt for $13.20
The percentage profit = [tex]\frac{profit}{cost price}[/tex] × 100
Profit = Selling price - cost price
Cost price is the total amount expended in making the tee-shirts
cost price includes cost of buying blank shirt , cost of fabric paint and amount Lois pay herself
cost of buying blank shirt = $1
cost of fabric paint = $1
amount Lois pay herself = [tex]1\frac{1}{2}[/tex] x $6
[tex]\frac{3}{2}[/tex] x $6 = $9
Total cost price = $1 + $1 + $9 = $11
0.2 = [tex]\frac{profit}{11}[/tex]
profit = 11 x 0.2 = $2.2
$2.20 = selling price - $11
selling price = $11 + 2.20 = $13.20
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please help me! how much times can 23 go into 1,624 please tell me the quotation and remainder!!:)
Answer:
Quotient= 70
Remainder=14
Step-by-step explanation:
Do you need explanation?
Answer:
23 goes into 1,624 70 times
Can someone tell me what number 60 is?
1Q _____is neither a prime number nor a composite number
2Q the only even prime number is ______.
3Q A prime number has only_____ factors,______and_______.
4Q _______is the smallest prime number is_____.
5Q there are ______ prime numbers less then 20.
Find the value of xFind the value of xFind the value of x
Answer:
x = 11
Step-by-step explanation:
[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]
Simone buys a shirt and hat. The hat costs six dollars. The shirt cost five times as much as the heart. How much more does the shirt cost than the heart?
Answer:
$24
Step-by-step explanation:
h x 5 = 30
h = 6
30 - 6 = 25
-12/3*(-8+(-4)²-6)+2
122 right?
Answer:
-6
Step-by-step explanation:
[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]
[tex] (-4)² = 4²= 4×4 =16 [/tex]
[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]
[tex] -8 + 16-6= -14 + 16 = 2[/tex]
[tex] - 4( - 8 + 16 - 6) + 2[/tex]
[tex] - 4 \times 2 + 2[/tex]
[tex] - 8 + 2[/tex]
[tex] = - 6[/tex]
need help with this please
hi <3
it would be option A and option C, i believe.
hope this helps :)
When q= -4 and g=1 look at picture
Answer:
-25
Step-by-step explanation:
sorry for the mistake
anybody how to do this?
please help and explain, thanks so much.
2x^3 y^8 / 4y^2
Answer:
[tex]2 {x}^{3} {y}^{8} \div 4 {y}^{2} \\ = {x}^{3} {y}^{8} \div 2 {y}^{2} \\ = {x}^{3} {y}^{8 - 2} \div 2 \\ = {x}^{3} {y}^{6 } \div 2 \: \: \: ans[/tex]
Step-by-step explanation:
Plz make it brainlist answer your questions have been solved
if there are 48 students in a class and 42% of those students have a dog what percent of students have a dog or a cat?
what is the width of a rectangle with length 25in and area of 375^{2}
Explanation:
I'm assuming you meant to say the area is 375 in^2, aka 375 square inches.
If so, then,
area of rectangle = length*width
A = L*W
A/L = W
W = A/L
W = 375/25
W = 15 inches
As a check,
A = L*W = 25*15 = 375 which helps confirm the answer.
PLS HELP ME WITH ANGLES
Answer:
140 comied
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
40° + 3y + 2y = 180°
↔ 5y = 140°
↔ y =28°
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP
Problem 61
The nth triangular number is
T(n) = n(n+1)/2
I'll rewrite this into
T(n) = 0.5n(n+1)
The triangular number right after this is
T(n+1) = 0.5(n+1)(n+2)
I replaced every n with n+1 and simplified
Let's see what we get when we add up the two expressions
T(n) + T(n+1)
0.5n(n+1) + 0.5(n+1)(n+2)
0.5n^2+0.5n + 0.5(n^2+3n+2)
0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1
n^2+2n+1
(n+1)^2
This shows that the sum of any two consecutive triangular numbers results in a square number
Here's a few examples
0+1 = 11+3 = 43+6 = 96+10 = 1610+15 = 25Note each sum is a perfect square, which visually would plot out a square figure.
For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}
Answer: Square number==========================================================
Problem 64
Let's say we go with n = 5.
This means,
T(n) = 0.5n(n+1)
T(n-1) = 0.5(n-1)(n-1+1)
T(n-1) = 0.5n(n-1)
T(5-1) = 0.5*5(5-1)
T(4) = 10
This says that when n = 5, the 4th triangular number is 10
Triple that result and add on n = 5
3*T(4) + n = 3*10+5 = 35
This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.
Through a bit of trial and error, you should find it's a pentagonal number
Pentagonal numbers are of the form n(3n-1)/2
If you plugged n = 5 into that, it leads to 35
n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35
The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)
Answer: Pentagonal numberreplace blank with <,>, or = to make a true statement: 2^5 blank
4^2
Step-by-step explanation:
2^5 > 4^2
32 > 16
hopefully it makes
:)
B is between A and C and AB = BC.
If AB = 4x and AC = 24, find x.
Answer:
x = 6
Step-by-step explanation:
Because AB = BC and AB = 4x , AC = 24
=> 4x = 24
x =6
Answer:
X=3
I hope this helps,
Not the neatest of handwriting though
A movie started at 22 45. The movie ended at 01 32 the next day. Calculate the duration of the movie.
please with full works
Movie started at 22 : 45 and ended at 01 : 32.
total watching hours :
(22 : 45 to 00 : 00) + (00 : 00 to 01 : 32)1 hour and 15 minutes + 1 hour and 32 minutes 2 hours and 47 minutesI hope it helped !!
if f(x) = 3x+7 find f(x+1)
Answer:
-3
Step-by-step explanation:
3x +7 =f(x+1)
3x +7=x+1
3x-x=-7+1
2x=-6
-3
work out b(4½-3⅔)+1⅔
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Change the mixed numbers to improper fractions
([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6
= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]
= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2 [tex]\frac{1}{2}[/tex]
What is the solution to the equation 5x = 40?
07
08
45
200
Answer: Should be 8 ,,,,,
Answer:
Step-by-step explanation:
well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x.
The answer to that is: X = 8.
40 divided by 5 = 8.
To check we can do 5 x 8 = 40.
X = 8
What least number should be subtracted from 45,632 so that the number is divisible by 100 (plzz answer)
Answer:
32
Step-by-step explanation:
I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32
Graph the inequality on the axes below
Answer:
There u go, just use the brainly scanner thingy
1 7/8 cups of ketchup times 3.
Answer:
5 5/8 cups of ketchup
Step-by-step explanation:
1 7/8 x 3
15/8 x 3/1 = 45/8
45/8 = 5 5/8
Find the midpoint of (-3,7) and (-9,1).
Answer:
(-6, 4)
Step-by-step explanation:
can someone check my answers? if they are all right then just leave it alone but if somethings wrong please tell me and explain why!
Answer:
They are all right
Step-by-step explanation:
all of them are right
Everything is correct except the last one. I have attached the solutions, see them.
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answer:
Peter = 6 kg
Mary = 12 kg
Lucy = 8 kg
Step-by-step explanation:
let us take number of kg's peter took as x
then lets form an expression to find x
let us take mary's chestnuts as = 2x (twice as much as peter)
let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)
so
x + 2x + 2+ x = 26
4x + 2 = 26
4x = 26 - 2
4x = 24
x = 24/4
x = 6
now let us see how much each of them picked while replacing 6 by x
Peter = x
= 6 kg
Mary = 2x
= 2(6)
= 12 kg
Lucy = 2+x
= 2 + 6
= 8 kg
now let us cross check to see the answer
6 + 12 + 8
18 + 8
= 26
CROSS-CHECKED
We want to factor the following expression:
16x^4-(y-1)^2
We can factor the expression as (U+V)(U-V) where U and V are either constant integers or single-variable expressions.
photo:
1) What are U and V?
2)Factor the expression.
Step-by-step explanation:
[tex]16x^4-(y-1)^2=4^2\cdot (x^2)^2-(y-1)^2=(\textcolor{blue}{4x^2})^2-(\textcolor{green}{y-1})^2[/tex]
[tex]\text{Comparing with } \textcolor{blue}{U}^2-\textcolor{green}{V}^2, \text{ we know}[/tex]
[tex]\textcolor{red}{U=4x^2, V=(y-1)}[/tex]
[tex]\text{By the formula } U^2-V^2=(U+V)(U-V)[/tex]
[tex]16x^4-(y-1)^2=(4x^2)^2-(y-1)^2=\textcolor{red}{(4x^2+y-1)(4x^2-y+1)}[/tex]
Find the length of UC
A. 54
B. 4
C. 39
Either take the photo of that question or take screenshot and attach it. The question is not complete.
You are installing a fence around your yard. In the figure,
your yard is rectangle ABCD. Each unit in the coordinate
plane represents 10 feet.
a. What is the perimeter of your entire yard
b. You consider only installing a fence around your backyard represented by rectangle ABEF what is the perimeter of your backyard?
c. The cost of fencing is $50 for each 6 foot section how much do you say by only installing a fence in the backyard?
Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:
(a) 360 feet
(b) 240 feet
(c) $1000.0
Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:
(a) Side AB = CA = (7 - 1) x 10 feet
= 6 x 10 feet
= 60 feet
Side AD = BC = 13 - 1
= 12 x 10 feet
= 120 feet
The perimeter of the entire yard = 60 + 120 + 60 + 120
= 360
Perimeter of the entire yard = 360 feet
(b) Side AB = EF = 60 feet
Side FA = BE = (7 -1) x 10 feet
= 60 feet
So that,
The perimeter of the backyard = 60 feet x 4
= 240
Perimeter of the backyard = 240 feet
(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50
= $3000.0
The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50
= $2000.0
The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0
= $1000.0
Thus, the amount saved by only installing a fence in the back yard is $1000.0
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