Answer:
3x + 5y = 15
Find gradient:
coordinates taken: (5, 0), (0, 3)
[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\rightarrow \sf \dfrac{3-0}{0-5}[/tex]
[tex]\rightarrow \sf -\dfrac{3}{5}[/tex]
Here the y-intercept: 3gradient: -3/5
equation:
[tex]\sf \bold{ y = m(x) + b}[/tex]
[tex]\rightarrow \sf y = -\dfrac{3}{5} x + 3[/tex]
[tex]\rightarrow \sf y = -\dfrac{3}{5} x + \dfrac{15}{5}[/tex]
[tex]\rightarrow \sf 5y =-3x+15[/tex]
[tex]\rightarrow \sf 3x+5y =15[/tex]
Take two points
(0,3)(5,0)x intercept=a=5y intercept=b=3So
equation of line in intercept form
[tex]\\ \rm\rightarrowtail \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{x}{5}+\dfrac{y}{3}=1[/tex]
Multiply each by 15[tex]\\ \rm\rightarrowtail 3x+5y=15[/tex]
Let m and n be two positive integers greater than 1 . If
[tex] \displaystyle\sf \lim_{a\to 0 }\bigg\lgroup \dfrac{e^{\cos(a^n)}-e}{a^m}\bigg\rgroup =-\bigg\lgroup \dfrac{e}{2}\bigg\rgroup [/tex]
Then the value of [tex]\dfrac{m}{n}[/tex] is ?
What is the measure of
Answer:
since it goes down a certain way and it goes down then B will go the same way as a evil ghost literally down to the phone the top right to the left like see if I just a little bit shorter Jay will go all the way up to age and we will go to k
hello evryone. please help if you know the answer. donr help if u dont know the answer. ill give brailest to the first person that answers
a WHOLE is always simplified to "1", namely 100/100 = 1, 57/57 = 1 and so on. Well, in this case we have a total of 21 students, so 21/21 is all of them, their "whole", but we also know that 6 of them read about animals and the rest about plants, so
[tex]\stackrel{whole}{\cfrac{21}{21}}\qquad \qquad \cfrac{\stackrel{animals}{6}~~ + ~~\stackrel{plants}{15}}{21}\implies \cfrac{6}{21}~~ + ~~\stackrel{plants}{\cfrac{15}{21}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{15}{21}\implies \cfrac{3\cdot 5}{3\cdot 7}\implies \cfrac{3}{3}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \boxed{\cfrac{5}{7}}[/tex]
Answer:
I think its 5 over 7
Step-by-step explanation:
because 6-21 equals 15 so 15 is how many read about plants out of the total students at the library which is 21.if you divide 15 over 21 by 3 you get 5 over 7
What is the solution to the equation?
Choose the student who solved the equation correctly.
12a = 6
Maria's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = 2.
Jessi's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = one-half.
Marcus's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 1.
Trevor's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 2.
9.1k = 63.7
The solution is
.
Answer:
Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2
Step-by-step explanation:
so it's B or jessi work
round 4184 to the nearest hundereth
Answer:
4200
Step-by-step explanation:
I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.
What is the solution to the linear equation? –12 3b – 1 = –5 – b b = –2 b = –1.5 b = 1.5 b = 2
The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The linear equation is given below.
–12 + 3b – 1 = –5 – b
The value of b will be given as
Add b both sides, we have
–12 + b + 3b – 1 = –5 – b + b
–13 + 4b = –5
Add 13 on both sides, we have
13 – 13 + 4b = – 5 + 13
4b = 8
Divide both sides by 4, we have
b = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
Answer:
The fourth option, 2
What is the velocity of the plane that travels 3000km in 5 hours?
Answer:
600km/h
546.807 fps
0.1666667 km/s
Step-by-step explanation:
Use which ever unit youd want to in this scenereo, I'd use 600km/h
3000 / 5 = 600
Find the 72nd term of the arithmetic sequence -27, -11, 5, ...
Step-by-step explanation:
first identify the common difference
The first term which i will define by u⁰=-27
u¹=u⁰+(1)d where d is the common difference and u¹ is the second term
u¹=-27+d
-11=-27+d
d=27-11=16
The 72nd term would be u⁷¹ since we started from u⁰ as our first term:
Use the explicit relation given by:
u(n)=u⁰+(n)d
u(71)=-27+71(d)
u⁷¹=-27+71(16)
u⁷¹=-27+1136
u⁷¹=1109
The radius of a circle is 2 feet. What is the
circle's circumference?
r=2 ft
Given -
the radius of a circle is 2 feet. ie. r = 2ftps - use 3.14 for π
To find -
the circle's circumferenceSolution -
We know to find the circumference of a circle we use the formula C=2πr.
Doing the same,
C = 2 × 3.14 × 2
C = 12.56 feet
[tex]\sf\large\underline{Given:-}[/tex]
[tex]\rightarrow[/tex] Radius(r) of the circle = 2 ft.
[tex]\rightarrow[/tex] Value of Pie(π) = 3.14
[tex]\sf\large\underline{To\: Find:-}[/tex]
[tex]\rightarrow[/tex] Circumference of the circle.
[tex]\sf\large\underline{Formula \: Used:-}[/tex]
[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex]
[tex]\sf\large\underline{Solution:-}[/tex]
[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex](putting the value of π and r from the above given)
[tex]\rightarrow[/tex] [tex]\sf{=2×3.14×2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=12.56\: ft.}[/tex]
Therefore, circumference of the given circle = [tex]\sf{12.56\: ft.}[/tex]
_____________________________
Hope it helps you:)
how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute
Find the area of the figure.
Answer:
55 sq meters
Step-by-step explanation:
Area of big triangle 7x5=35/2
but there's two big triangle so 35/2 x 2 =35
area of small triangle 5x4=20/2 10
10 x 2 =20. And then combine 20+35=55
So the area is 55 sq meters.
I will give you brainlyest and give you points
Answer:
VOL_cone is 70.7
which is LESS THAN
the vol of cylinder. VOL_cyl is 71.6
Step-by-step explanation:
Volume of a cone:
V= (1/3)pi•r^2 • h
=(1/3)pi•3^2 • 7.5
= 70.7 cubic inches
(rounded to tenths this is the same if you use a pi key on the calculator or if you use 3.14)
The Volume of a cylinder:
V = pi•r^2 • h
= pi• 2.25^2 • 4.5
= 71.6 cubic inches
(more accurate with pi key, using 3.14 it rounds to 71.5)
The last blank could be the words "less than" but if they are asking for a fraction or percent, calculate by putting the big number on the bottom and the smaller number on top.
PLEASE HELP ASAP 20 POINTS
Answer:
1. 200
2. 50
Step-by-step explanation:
1. you put 10 over 5 as a proportion with x over 100 on the other side
2. you put 5 over 10 as a proportion with x over 100 on the other side
The length of the base of a parallelogram is 18 centimeters. the parallelogram has an area of 450 square centimeters.
what is the height of the parallelogram?
enter your answer in the box
Answer:
h = 25 cm
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
given A = 450 and b = 18 , then
18h = 450 ( divide both sides by 18 )
h = 25
Answer:
h = 25cm
Step-by-step explanation:
What is the length of a line segment with endpoints 3, 2, and -3, -4, in
the simplest radical form
[tex] \qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}[/tex]
Let's use distance formula :
[tex]\qquad \sf \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) } [/tex]
[tex]\qquad \sf \dashrightarrow \: 6\sqrt{ 2 } \: \: units[/tex]
Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50 What is the percentage change in her hourly rate?
Percentage Change = (new rate - old rate) / (old rate)
New Rate = 11.5
Old Rate = 10
(11.5 - 10) / 10
1.5 / 10 = 15 / 100 = 0.15 = 15%
The percentage change in her hourly rate is 15%.
Hope this helps!
The following stem-and-leaf plot represents the scores earned by Mr. Wood's class on their most recent science test.
How many of the students scored less than an 85?
10
12
11
9
Answer:
11
Step-by-step explanation:
If you count the total values
it equals 11
Which answers describe the shape below? Check all that apply.
Answer: C, D, and F
-> C. Quadrilateral
-> D. Parallelogram
-> F. Rectangle
Step-by-step explanation:
-> A. Square
[✗] A square needs 4 congruent sides, this only has "two sets of two"
-> B. Trapezoid
[✗] A trapezoid has one pair of parallel sides, but this shape has two
-> C. Quadrilateral
[✓] This shape has four sides
-> D. Parallelogram
[✓] This shape's opposite sides are congruent and parallel
-> E. Rhombus
[✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent
-> F. Rectangle
[✓] This shape has four sides, and it's opposite sides are congruent
Please help correct answer wins crowns
Answer:
Given equation: x + 2y = 7
Rearrange the given equation to make y the subject:
[tex]\sf x + 2y = 7[/tex]
[tex]\sf \implies 2y=7-x[/tex]
[tex]\sf \implies y = \dfrac12(7-x)[/tex]
Now input the given x-values into the equation to determine the y-values:
[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]
[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]
[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]
[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]
[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]
[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]
As ordered pairs: (-2, 4.5) (-1, 4) (0, 3.5) (1, 3) (2, 2.5) (3, 2)
Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.
Lee says 20% is more than 70% of 70% of 20. Is lee correct?
Answer:
yes
Step-by-step explanation:
75/100×75/100=49/100
49/100×20=8.58.5 % Is more than 20%
The variables y and x have a proportional relationship, and y = 5 when x = 4.
What is the value of x when y = 8?
Answer:
[tex]\boxed{a = 6.4}[/tex]
Step-by-step explanation:
Given:
[tex]x:y = (4):(5)[/tex]
Let the value of "x" be known as "a".
[tex]x:y = a:8[/tex]
Setting up the proportion:
[tex]\rightarrow 4:5 = a :8[/tex]
Multiplying the middles and the extremes:
[tex]\rightarrow 5a = 4 \times 8[/tex]
Simplifying the RHS:
[tex]\rightarrow a = \dfrac{4 \times 8}{5}[/tex]
[tex]\rightarrow \boxed{a = 6.4}[/tex]
Thus, the value of x is 6.4 when y is 8.
Answer:
[tex]\sf x=\dfrac{32}{5}[/tex]
(or x = 6.4 if you want it in decimal form)
Step-by-step explanation:
If y and x have a proportional relationship, then:
y = kx (for some constant k)Given:
x = 4y = 5Substitute the given values into the equation to find k:
⇒ 5 = k(4)
⇒ k = 5/4
Therefore, [tex]\sf y=\dfrac54x[/tex]
When y = 8, substitute y = 8 into the equation and solve for x:
[tex]\sf \implies \dfrac54x=8[/tex]
[tex]\sf \implies x=8 \cdot \dfrac45[/tex]
[tex]\sf \implies x=\dfrac{32}{5}[/tex]
What is the median: _____
enter the whole number and only 1 decimal value in this answer
Answer:
55.5
Step-by-step explanation:
First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111 111 divided by 2=55.5.
In the spinner above, the section labeled *2* is twice as large as each of the sections labeled “3,” “4,”and “5”; the section labeled "1” Is three times as large as each of the sections labeled "3” “4” and “5”About how many times should Larry expect to land on "1"
A. 100
B. 75
C. 40
D. 25
Thank you!
Answer:
B.75
Step-by-step explanation:
Solve for e:2e-13+8=135
Answer:
e = 70
Step-by-step explanation:
2e - 13 + 8 = 135
2e - 5 = 135
2e = 135 + 5
2e = 140
divide both sides by 2
e = 70
Maryam had to sail 4 2⁄3 miles to reach her destination. At the end of the day, she had sailed 3 1⁄3 miles. How far was she from her destination?
1 1⁄3
Step-by-step explanation:
In order to find how far was she from her destination
We substract 4 2⁄3 from 3 1⁄3
=> 4 2⁄3 - 3 1⁄3
=> 1 1⁄3 (Decimal: 1.333333)
Answer:
1 1/3 miles
Step-by-step explanation:
2-1
4 2/3-3 1/3= 1-----------
3
=1 1/3miles
Pls help i am extremly stressed with this question
Answer:-7/8>-0.60
C is not true
The chef made 45 pancakes in 6 minutes. How many pancakes did she make in 1 minute?
Answer: 7.5 or 7 1/2
Step-by-step explanation:
Divide 45 divided by 7
Find the gradients of lines A and B.
Answer:
A=4
B=-2
Step-by-step explanation:
the gradient to B is a negative coz the line is sloping downwards
Answer:
m (A) = 4
m (B) = - 2
Step-by-step explanation:
choose any 2 coordinates on line A to use it in the formulae
no need to do so for line B because the y-int and x-int both are clear.
The length of the hypotenuse in a 45°-45-90 triangle is 7sqrt10 units. One of the legs is 7sqrt5 units. What is the length of the other
leg?
O 7sqrt5units
O 14sqrt5units
O 35 units
0 70 units
Answer:
7[tex]\sqrt{5}[/tex]
Step-by-step explanation:
the legs of a 45°- 45°- 90° triangle are congruent , then
one leg = 7[tex]\sqrt{5}[/tex]
the other leg = 7[tex]\sqrt{5}[/tex]
Is (-4, -1) a solution to this system of equations?
y = 5/2x + 9
y = 1/2x + 1
Yes or no
Answer:
yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)
Step-by-step explanation: