Answer:
Kerri should draw the two cities 4.2" or 4 1/5" apart.
X+3y=-2
3x+4y=-6
USE SYSTEMS BY SUBSTITUTION.
X=
Y=
Answer:
X=-2
Y=0
Step-by-step explanation:
X+y=-2 = x=-2-y
3x+4y=-6
3(-2-y)+4y=-6
-6-3y+4y=-6
y=0
x+3(0)=-2
x=-2
Answer:
[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]
Step-by-step explanation:
To solve by substitution we must first isolate 1 variable in an equation.
Let's use the first equation.
[tex]x+3y= -2[/tex]
Subtract 3y from both sides to isolate the variable x.
[tex]x+3y-3y= -2 -3y[/tex]
[tex]x= -2 -3y[/tex]
Now we can substitute the expression (-2-3y) in for x in the second equation.
[tex]3x+4y= -6[/tex]
[tex]3(-2-3y)+4y= -6[/tex]
Distribute the 3. Multiply each term inside the parentheses by 3.
[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]
Combine the like terms on the left side.
[tex]-6-5y= -6[/tex]
Add 6 to both sides to isolate the variable.
[tex]-6+6-5y=-6+6\\-5y=0[/tex]
Divide both sides by -5.
[tex]-5y/-5=0/-5 \\y=0[/tex]
Now we know that y is equal to 0 and can substitute it into the first equation and find x.
[tex]x+3(0)=-2[/tex]
[tex]x+0=-2 \\x= -2[/tex]
x is equal to -2 and y is equal to 0.
Patrick payed 12$ for 2 1/2 candy. How much did each pound of candy cost.
картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю
Answer:
Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение
Step-by-step explanation:
2.
Find the Area of the Shaded Region. (15 pts)
2 m
7 m
12 m
10 m
Answer:
120 - 14 = 106
Step-by-step explanation:
7 x 2 = 14
10 x 12 = 120 therefore you,
120 - 14 = 106
The area of the shaded region is 106 m².
We have,
The area of the rectangle:
= length x width
From the figure,
Bigger rectangle dimensions:
Length = 12 m
Width = 10 m
Smaller rectangle dimensions:
Length = 7 m
Width = 2 m
Now,
The shaded region.
= Area of the bigger rectangle - Area of the smaller rectangle
= 12 x 10 - 7 x 2
= 120 - 14
= 106
Thus,
The area of the shaded region is 106 m².
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ2
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet
in length. How many 18-inch pieces can the dressmaker cut from 10 of these rolls of
ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in
total?
Part A
Which rule defines the function in the graph?
Answer:
c because yes
Step-by-step explanation:
trust me it's C
Gia receives an allowance of $2 a week and already has $20 in savings. Michael receives an allowance of $3 a week and already has $5 in savings. Gia and Michael both save their entire allowance. After how many weeks, will Gia and Michael have the same amount in savings? How much money will they have?
Answer:
After 15 weeks, Gia and Micheal will both have $50 in savings.
Step-by-step explanation:
For Gia:
We start at $20 since she already has $20 in savings, we will add that to how much Gia will receive in 15 weeks.
Gia receives $2 a week and therefore in 15 weeks she will have $50.
= 2x15 = $30
= 30+20 = $50
For Micheal:
We start at $5 since he already has $5 in savings, we will add that to how much Micheal will receive in 15 weeks.
Micheal receives $3 a week and therefore in 15 weeks he will receive $50
= 3x15 = $45
= 5+45 = $50
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far, she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Complete question is;
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far
she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.
Assume Zac and Lynn continue to travel at the same constant rates and make no stops.
Determine the solution of the system of linear equations.
Answer:
Zac: y = 55a
Lynn: y = 60(a - ½)
6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.
Step-by-step explanation:
Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;
zac's speed = 123.75/2.25 = 55 mi/hr
Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;
Lynn's speed = 105/1.75 = 60 mi/hr
Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.
Thus;
a hours after Zac started travelling, his distance covered will be;
Zac: y = 55a
Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.
Thus, Lynn's distance traveled after Zac started = 60(a - ½)
Lynn: y = 60(a - ½)
The solution will be when they have travelled equal distances a hours after Zac started. Thus;
55a = 60(a - ½)
55a = 60a - 30
60a - 55a = 30
5a = 30
a = 30/5
a = 6 hours
Putting 6 for a in y = 55a, we have;
y = 55 × 6
y = 330 miles
You buy a watch for $31.68, it includes a 5.6% sales tax. You received a discount of 40% off the original price. What is he original price?
Answer: Okay i think i got it: roughly $46.83
Step-by-step explanation:
Answer:
Its 50$ cause u gotta round up
Step-by-step explanation:
So basically just 31.68 times 5.6 as a decimal then do 60% because 100-40=60 and another step and you end up with 0.50 then jus times by 100
If fg(x) = 2x + 1, and f(x) = x + 2, find g(5) and g-'f'(1).
Answer:
g(5) - f(1) = 8
g(5) = 11
Step-by-step explanation:
Given:
g(x) = 2x + 1
f(x) = x + 2
Find:
g(5)
g(5) - f(1)
Computation:
g(x) = 2x + 1
g(5) = 2(5) + 1
g(5) = 11
f(x) = x + 2
f(1) = 1 + 2
f(1) = 3
g(5) - f(1) =11 - 3
g(5) - f(1) = 8
Find the value of x.
x
133°
133°
47°
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
Three angles are given to us and we all know that the sum of four sides of quadrilateral is 360⁰
so
133⁰ + 147⁰ + 47⁰ + x = 360⁰
x = 380⁰ - 367⁰
x = 13⁰
Hope it helps u
I can't seem to get this problem factored
40y squared + 44y+12
Answer:
4(2y+1)(5y+3)
Step-by-step explanation:
........
Expand and simplify 3(3x+3)-3x(4x+2)
Answer:
−12[tex]x^{2}[/tex]+3x+9
Step-by-step explanation:
=(3)(3x)+(3)(3)+−12x2+−6x
=9x+9+−12x2+−6x
Combine Like Terms:
=9x+9+−12x2+−6x
=(−12x2)+(9x+−6x)+(9)
=−12[tex]x^{2}[/tex]+3x+9
Question 4 Multiple Choice Worth 1 points)
(05.02 LC)
Find the measure of angle x in the figure below
A - 65°
B - 70°
C - 110°
D - 125
Answer:
B because 180 - 55 +55 u get 70 due to opposite sides x us also 70
Answer:
x=180-55-55=180-110=70° is your answer
the median is the ____ of an ordered data set
A. end
B. the most occurrences of a number
C. middle
D. average
Answer:
C. middle
Step-by-step explanation:
I need help with part b and c, I did a already
Answer:
a) V = 35.1 in.^3
b) V = 288 pi in.^3
c) h = 2.7 in.
Step-by-step explanation:
a)
radius of base = 2 in.
height = 8 in.
volume of cone = (1/3)(pi)(r^2)h
V = (1/3)(pi)(2 in.)^2(8 in.)
V = 35.1 in.^3
You are correct.
b)
You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.
radius of base = 6 in.
height = 24 in.
volume of cylinder = (pi)(r^2)h
V = (1/3)(pi)(6 in.)^2(24 in.)
V = 288 pi in.^3
c)
volume = 288 pi in.^3
radius = 18 in.
288 pi in.^3 = (1/3)(pi)(18 in)^2 h
288 in. = (1/3)(324)h
288 in. = 108h
h = 2.666 in.
h = 2.7 in.
What is the correct name for a 9-sided polygon?
decagon
octagon
nonagon
ninagon
Answer:
nonagon
Step-by-step explanation:
The correct name for a 9-sided polygon is nonagon.
Answer:
option c. nonagon
..............
There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,
Answer:
150:30
Step-by-step explanation:
It's essentially saying 5:1, 5 girls to one boy.
so with this in mind.
150:x
150/5
30
therefore
150:30
Answer:
30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )
Step-by-step explanation:
1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.
Thats it lol.
Btw can I have brainliest if I got it correct please?
A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.
Answer:
Fraction form:33/20 money:$1.65
Step-by-step explanation:
$0.2 + $x = %1.36
20 IB + 80 IB = 100 IB
Equation: 0.2*20+x*80=1.36*100
there fore the answer is 33/20
Answer:
33/20
Step-by-step explanation:
Given that angles ABC ~ DEF, solve for x and y.
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
Write your answer in the form a|x–h|+k, where a, h, and k are integers.
Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
Find the value of x round to the nearest tenth
Answer:
sin 76 = 13/x
x=13/sin 76
x=13.3979771816
x=13.4
cool/3d18c3ab-98a2-4989-9e70-1d62f58e3bcf/Showitem?returnView=&studentItemid=0&backPath Question 3 of 17 A room has dimensions 10'6" X 14'. What is the perimeter of the room?
Answer:
Perimeter = 2*Length + 2*Width
= 2(10’6”) + 2(14)
= 21’ + 28’
= 49’
Step-by-step explanation:
Complete the equation of the line whose slope is -2 and y-(0,8)
Answer:
Equation: y = -2x + 8
Step-by-step explanation:
REMEMBER: The slope intercept form is y - mx + b. In slope intercept form, m is the slope and b is the y-intercept.
4. What is the y-intercept of this equation?
y=7X-6
Answer:
-6
Step-by-step explanation:
[tex]y = 7x - 6 \\ \\ equating \: it \: with \\ \\ y = mx + b \\ \\ b = - 6 \\ y - intercept = - 6[/tex]
Need help with 8! Please show your work!!!!! Appreciate it! Have a nice day
The graphs of two linear equations are shown.
y = 3x – 3
y= 2x - 8
Which is the solution of this system of equations?
3. Mass changes when gravitational force changes.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Mass doesn't change when gravitational force changes, but the weight does change.
Answer:
Step-by-step explanation:
True
hope that helps
mark me brill please
How to solve -4-.2x+11=-.8x+10?
Answer:
x = 5
Step-by-step explanation:
-4-0.2x+11=7-0.2x=-0.8x+10
==>
0.6x=3
x=5
There are 60 mangoes, They are packed in 7 boxes. How many mangoes are there in each box and how many mangoes are left out?
Answer:
There are 4 mangoes left.
There are 8 mangoes in each box.
Step-by-step explanation:
60 / 7 (rounded) = 8
60 remainder 7 = 4
8 * 7 = 56
9 * 7 > 56
56 + 4 = 60
please mark me as brainliest