Answers
Answer:
Step-by-step explanation:
Solve 2x−9y=14;−5x+9y=−8
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
2x−9y=14;−5x+9y=−8
Step: Solve2x−9y=14for x:
2x−9y+9y=14+9y(Add 9y to both sides)
2x=9y+14
2x
2
=
9y+14
2
(Divide both sides by 2)
x= 9
2
y+7
Step: Substitute
9
2
y+7forxin−5x+9y=−8:
−5x+9y=−8
−5(
9
2
y+7)+9y=−8
−27
2
y−35=−8(Simplify both sides of the equation)
−27
2
y−35+35=−8+35(Add 35 to both sides)
−27
2
y=27
−27
2
y
−27
2
=
27
−27
2
(Divide both sides by (-27)/2)
y=−2
Step: Substitute−2foryinx=
9/ 2
y+7:
x= 9/ 2 y+7
x= 9/ 2 (−2)+7
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=−2
Infanite many solutions
Related Questions
Solve the equation using Order of Operations. (It's in the picture)
A) 87
B) 101
C) 68
D) 99
I am not allowed to use a calculator, by the way.
Answers
Step-by-step explanation:
(38+45)+9*2+3-59+((4/2)*3+8*5)=
83+18+3-59+(6+40)=
83+18+3-59+(6+40)=
83+18+3-59+46=
(83+18+3+46)-59=
150-59=91
I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.
Can someone help only answer if you know and scam links are getting reported
Answers
Answer:
12 cubic centimeter blocks are in the bottom layer
A ride to the airport costs $13.86 plus
a $3.00 tip. If Michael and Jeff share
the ride, then how much will each person
pay?
Answers
Answer:
$33.72
Step-by-step explanation:
$13.86 + $3.00 + $13.86 + $3.00
$33.72
Who can solve and attach a pic so I can write down how I got the answer
Answers
I need to know the vertex of this parabola can someone help me ASAP
Answers
if £1=$1.56, what is $1 worth
Answers
Hope that helps :)
What is the answer to this? Please help.
Answers
Answer:
1441.08 cubic inches
Step-by-step explanation:
Blue
V = L * W * H
L = 15
W = 9
H = 9
V = 9 * 9 * 15 = 1215 CU IN
YELLOW
Diameter = 6
Height = 8
radius = d/2
radius = 6/2
radius = 3
Volume = pi*r^2 * h
Volume = 3.14*3^2 * 8
Volume = 226.08 Add
1441.08
Solve the 4 letter code please I need it before midnight, it's not a word.
Answers
Answer:
1. E
2. A
3. B
4. I
Step-by-step explanation:
EABI, try it out, comment if i get it right, i am so f**cking tired right now so sorry if its wrong
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a side of 15. If the volumd of the two prisms are equal, what is the height of the second prism?
Answers
Answer:
6cm
Step-by-step explanation:
correct for 100 points i swear
Please help me!
No links!!! Please!
Answers
Answer:
d = -3
Step-by-step explanation:
-3 -9 = -12
-12/6
= -2
Question :
25+25 -25 = ____
Answers
Answer:
25+25-25=25+0=25 is your answer
Answer:
25 +25-25=25
Have a nice day!
Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere armar tres líneas del mismo tamaño, una de cada color y sin cortar ninguna tira. a) ¿Cuánto va a medir la menor línea que se puede armar con cada color? b) ¿Cuántas tiras se deben utilizar? c) ¿Cuántas de cada color?
Answers
Answer:
a) Smallest line that can be made with each color = 300 cm
b) Total strips should be used = 47 strips
c) Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
Step-by-step explanation:
Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.
To find - a) How long is the smallest line that can be made with each color?
b) How many strips should be used?
c) How many of each color?
Proof -
a)
For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.
Firstly,
Decompose the 3 strips to its prime factors , we get
15 = 3×5
20 = 2²×5
25 = 5²
So,
The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300
∴ we get
Smallest line that can be made with each color = 300 cm
b)
Now,
Total strips used = 300 cm
Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips
Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips
Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips
So,
Total strips should be used = 20 + 15 + 12 = 47 strips
c)
Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
I need help with this! Which one is it?
Answers
Answer:
82 degrees
let the point where the lines cross be E
ABD angle is 108 / 2 = 54 degrees
CAB angle is 56 / 2 = 28 degrees
the missing angle in ABE triangle is 180-54-28=98 degrees. angle x is 180 - 98 = 82
Will give brainlyest to the first correct answer! Easy points
Answers
Answer:
its most likely A
Step-by-step explanation:
Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. What is the measure of angle Y
Pls help me‼️‼️‼️‼️‼️
Answers
Y = ½(Z)
Step-by-step explanation:
X = Y = x°Z = 2YY = ½(Z)
in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?
Answers
Answer:
20%
Step-by-step explanation:
465 - 372 = 93
93/465 = 0.2
0.2 × 100 = 20
Hope this helps !
what is the answer for C = 12π
Answers
pls help :D
( #7- it’s a -5 )
Answers
Answer:
Use rules of logarithms to expand.
Undefined!
Step-by-step explanation:
What type of graph would have the title, "Mile Time of a Typical 5th Grade Student
Answers
Answer:
bar graph or line plot
Step-by-step explanation:
WHAT IS THE RANGE FOR THIS GRAPH?
PLEASE HELP
Answers
Answer:
[0,5] or 0≤ y≤ 5
Step-by-step explanation:
Not 100% certain but all the values are included even though there is an open circle
HELLLPPP!!!
What is the equation of the parabola with focus(1, 1/2)
and directrix y = 3?
A. Y=x^2+17x-1
B. Y=-3/16x^2
C. Y=1/5x^2+2/5x+31/20
D. Y=-3/5x^2-14/31x+71/16
Answers
Given:
Focus of a parabola = [tex]\left(1,\dfrac{1}{2}\right)[/tex]
Directrix: [tex]y=3[/tex]
To find:
The equation of the parabola.
Solution:
The equation of a vertical parabola is:
[tex]y-k=\dfrac{1}{4a}(x-h)^2[/tex] ...(A)
Where, [tex](h,k)[/tex] is center, [tex](h,k+a)[/tex] is focus and [tex]y=k-a[/tex] is the directrix.
On comparing the focus, we get
[tex](h,k+a)=\left(1,\dfrac{1}{2}\right)[/tex]
[tex]h=1[/tex]
[tex]k+a=\dfrac{1}{2}[/tex] ...(i)
On comparing the directrix, we get
[tex]k-a=3[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]2k=\dfrac{7}{2}[/tex]
[tex]k=\dfrac{7}{4}[/tex]
Putting [tex]k=\dfrac{7}{4}[/tex] is (i), we get
[tex]\dfrac{7}{4}+a=\dfrac{1}{2}[/tex]
[tex]a=\dfrac{1}{2}-\dfrac{7}{4}[/tex]
[tex]a=\dfrac{-5}{4}[/tex]
Putting [tex]a=\dfrac{-5}{4},h=1,k=\dfrac{7}{4}[/tex] in (A), we get
[tex]y-\dfrac{7}{4}=\dfrac{1}{4\times \dfrac{-5}{4}}(x-1)^2[/tex]
[tex]y-\dfrac{7}{4}=\dfrac{-1}{5}(x^2-2x+1)[/tex]
[tex]y-\dfrac{7}{4}=-\dfrac{1}{5}(x^2)-\dfrac{1}{5}(-2x)-\dfrac{1}{5}(1)[/tex]
[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x-\dfrac{1}{5}+\dfrac{7}{4}[/tex]
On further simplification, we get
[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{35-4}{20}[/tex]
[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{31}{20}[/tex]
Therefore, the equation of the parabola is [tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{31}{20}[/tex].
Note: Option C is correct but the leading coefficient should be negative.
1/2 x 1 3/5 to the simplest form
Answers
Answer:
4/5
Step-by-step explanation:
Convert 1 3/5 into improper fraction
1 3/5 -> 8/5
1/2x8/5= 8/10
8/10= 4/5
I need help with my hraph
Answers
m-15=9 inverse operation
Answers
Answer: 24
Step-by-step explanation:
m - 15 + 15 = 9 + 15
m = 24
3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
someone pleasr help!!
Answers
Answer:
I think the answer is 7x+ 6a
Step-by-step explanation:
3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
3 (-6x) + 5 (1a) -2 (6x)
3x + 6a + 4x
= 7x+ 6a answer!
A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 153 chocolate
and 187 mocha. What percent of the cupcakes sold that day were chocolate?
Answers
Answer:
45% of the cupcakes baked on that day were chocolate flavored.
Step-by-step explanation:
Hey there!
We're given that the bakery sold 153 chocolate cupcakes and 187 mocha cupcakes.
Let's find the total number of cupcakes baked in a day.
[tex]153 + 187 = 340[/tex]Now, we need to find the ratios of the cupcakes. Of the 340 cupcakes baked, 153 were chocolate flavored. Therefore, we can create a ratio between the two values and find the percentage.
Step 1: Define Values
153 chocolate cupcakes baked340 cupcakes in totalStep 2: Create Ratio and Simplify
[tex]\displaystyle \frac{\text{153 chocolate cupcakes}}{\text{340 total cupcakes}} = \frac{153}{340} = 0.45[/tex]
Step 3: Convert from Decimal Form to Percentage Form
[tex]0.45 \times 100\% = 45\%[/tex]
Therefore, we have determined that 45% of the cupcakes baked on that day were chocolate flavored.
Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.
Answers
Answer:
We have the inequality:
-46 < -34
This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.
An example to see this is suppose that these numbers represent money.
Because the numbers are negative, then these represent money you owe.
-46 means that you owe $46
-34 means that you owe $34
Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.
Another example is if these numbers represent distance under the surface of the water.
-46 means that you are 46 ft under the surface of the water
-34 means that you are 34 ft under the surface of the water.
Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.
Plz help I’m having trouble doing this
Answers
2: 44 you do 180-136
4: 44 this side is the same
Answer:
Step-by-step explanation:
Adjecent angle: Two angles that have the same vertex and one side in common.
Vertcial angle: Pairs of opposite angles formed by intersecting lines-- vertical angles have the same measure.
The answer is in the screenshot I hope I helped.
If you want to you can give me brainliest. (Your choice :D NO Pressure)
Find m
A) 70°
C) 42°
B) 145°
D) 130°
Answers
Answer:
42 degrees
Step-by-step explanation:
Angles E and G are equal. Therefore, 8x - 6 = 7x, and x = 6.
Then the measure of angle G must be 7(6), or 42 degrees.
12 O 44 Madeline, Tyra, and Imogen are helping consolidate leftover pizza slices after a party. Each one of them has a box with leftovers. Madeline says the leftover slices in her box form a 203° angle . Tyra says the leftover slices in her box form a 59 After hearing those descriptions from Madeline and Tyra, Imogen wonders if the leftover slices would all fit into one box (meaning one full circle of 360° or less). It is possible if the angle measure of her leftover slices is no larger than [Drop Down 1]. If each slice has an angle of 40 the maximum amount of slices Imogen can fit is [Drop Down 2]. 1 mron Down 11
Answers
Answer:
i. The angle measure of Imogen's leftover should not be larger than [tex]98^{o}[/tex]
ii. The maximum number of slices that Imogen can fit is 2.
Step-by-step explanation:
The leftover in Madeline's box forms angle = 203°
The leftover in Tyra's box forms angel = [tex]59^{o}[/tex]
Sum of angles formed = 203° + [tex]59^{o}[/tex]
= [tex]262^{o}[/tex]
Given that one box = 1 full circle of 360°. Then,
the angle formed by the leftover in Imogen's box = 360° - [tex]262^{o}[/tex]
= [tex]98^{o}[/tex]
Thus, the angle measure of Imogen's leftover slices should not be larger than [tex]98^{o}[/tex].
If each slice has an angle of [tex]40^{o}[/tex], the maximum number of slice that Imogen can fit = [tex]\frac{98}{40}[/tex]
= 2 [tex]\frac{9}{20}[/tex]
= 2.45
The maximum number of slices that Imogen can fit is 2.