Answer:
x=1
Step-by-step explanation:
you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
x=1
Answer:
(1,2)
Step-by-step explanation:
1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:
[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]
2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:
[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]
So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).
Factorise these expressions
a.
[tex] {x}^{2} + 20x + 19[/tex]
b.
[tex] {z}^{2} - 2z + 1[/tex]
c.
[tex]9(x - 1) - 3x[/tex]
Answer:
a. (x+19)(x+1)
b. (z-1)(z-1)
c. 3(2x-3)
Step-by-step explanation:
a. x^2+20x+19
(x+19)(x+1)
b. z^2-2z+1
(z-1)(z-1)
c. 9(x-1)-3x
9x-9-3x
6x-9
3(2x-3)
HELP PLEASE PLEASE ILL GIVE BRAINLY
Answer:
the first one 24r+200=500
(3) need help plz Asap
Answer:
brainlist plzz
Step-by-step explanation:
D....................................
Researchers study the population of bass in a lake. The researchers catch, tag, and release 50 bass into the lake. During a fishing tournament the following week, competitors catch and release 525 bass, 15 of which had been previously tagged by the researchers.
What is the best estimate for the number of bass in the lake?
Answer: B.
Step-by-step explanation: 550 bass
9 + –2m = –31
What is M
Answer:
m=20
Step-by-step explanation:
9+(-2m)=-31
-2m=-31-9
-2m=-40
m=(-40)/(-2)
m=20
PLEASE HURRY
A gardener has a rectangular flowerbed. The length of the flowerbed is 5 feet more than the width. The perimeter of the flowerbed is 70 feet. Which equation can be used to find the width w in feet?
A. 2w + 5 = 70
B. 2(w+ 5) = 70
C. 2(2w+5) = 70
D. w(w+5) = 70
The equation for the perimeter is 2(2w + 5) = 70, to calculate the width.
What is a rectangle?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
Given the perimeter of a rectangular flower bed = 70 feet
and the length of the flowerbed is 5 feet more than the width,
let width be w
length = w + 5
perimeter is given by = P = 2(l + b)
P = 2(w + w + 5)
P = 2(2w + 5)
Hence option C is correct to find the width of the rectangular flowerbed.
Learn more about rectangles;
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Solve for b
Solve for b : -3b+2.5=4
Answer: -0.5
Step-by-step explanation:
-3b = 4-2.5
-3b = 1.5
(-3b)/-3 = 1.5/-3
b = -0.5
Answer:
should be - 0.5
Step-by-step explanation:
- 3b + 2.5 = 4
1.Turn the equation around
1. -3b = -2.5 + 4.
1. The reason why you turn the 2.5 into a negative is because you basically doing the oppisite if that makes sence.
2. Add -2.5 + 4
2. -2.5 + 4 = 1.5
2. I just added.
3. Plug 1.5 into the equation. Like so
3. -3b = 1.5
3. I just replaced -2.4 + 4 with the answer
4. Divied -3b = 1.5
4. -3b/-3b = 1.5/-3b = -0.5
4. What you do to one side you have to do to the other so -3b/-3b is 0 or it just is not there anymore next you take -3b and divide it by 1.5 and get - 0.5 BAM.
5. Plug -0.5 in for b.
5. -3(-0.5) + 2.5 = 4
Savings Accounts
Alyssa starts with $30 and saves $5 each week. Bill has $16 and saves $7 each
week. At what week will Alyssa and Bill have the same amount of money?
Answer:
7 weeks
Step-by-step explanation:
Given data
Alyssa starts with $30 and saves $5 each week
let the number of weeks be x
y= 30+5x----------1
Bill has $16 and saves $7 each
week.
y= 16+7x----------------2
equate 1 and 2
30+5x= 16+7x
30-16= 7x-5x
14= 2x
x= 14/2
x= 7 weeks
Jason has 3/4 ton of stone to spread equally in 3 square yards . How many tons of stone will be spread in each square.
Answer:
3/12 ton
Step-by-step explanation:
Given data
Jason has 3/4 ton of stone to spread equally in 3 square yards
Let us divide the 3/4 ton equally by 3 to get the final answer
solution
=3/4/3
=3/4*1/3
= 3/12
Hence each square will take 3/12 ton
A rectangle is inscribed in a circle. Find the area of the shaded region. Use 3.14 for .
Answer:
Find the area of both the square and circle and subtract the circle’s area from the square’s
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
What is the slope???
Answer:
detail below
Step-by-step explanation:
slope = difference of y/difference of x
m1 = (3-2) / (7-5) = 1/2
m2 = (-3 - -1) / (5 - 2) = -2/3
m3 = (3 - 6) / (-1 - -4) = -3/3 = -1
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Select all the fractions that are represented by a repeating decimal .
Answer:
A e f
Step-by-step explanation:
Hope this was helpful!!!
During the first race, 13 people ran a 1.5 mile race. During the second race, 5 people ran a 2.2 mile race. How many more total miles did the competitors run during the first race compared to the second race?
Answer:
8.5
Step-by-step explanation:
The competitors in the first race ran 19.5 miles and the competitors in the second race ran 11.
I hope this helps and makes sense! :)
PLZZ HELP!!! WILL MARK BRAINLIEST IF CORRECT! A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) Question 3 options: 1) It is not a valid sample because it is only a short study. 2) It is a valid sample because money is offered to participants. 3) It is a valid sample because the first 10 people were selected to participate. 4) It is not a valid sample because it is not a random sample of the population.
Answer:
1.) It is not a valid sample because it is only a short study
Step-by-step explanation:
Answer:
1.) It is not a valid sample because it is only a short study
Step-by-step explanation:
Hope this helped!! :)
Stay safe and have a wonderful afternoon!!!!!
3% of Americans are vegans. If you ask a random person whether he or she is a vegan, what is the probability that the person is not a vegan?
Answer:
97%
Step-by-step explanation:
100% - 3% = 97%
Hope this helps :)
The width of a rectangle is the length minus 3 units. The area of the rectangle is 40 units. What is the width, in unit, of the rectangle?
Answer: The width is 5
Step-by-step explanation:
The equation is x*(x-3)=40 solviing for x which is 8 but since width is x-3 then 8-3=5
What value of y makes this true?
25 - y = 15
a. 10
b. 8
c. 11
d. 9
Answer:
A. 10
Step-by-step explanation:
y = 10
Im the best mathmatician at my whole college so you can trust me
Catherine has a roll of paper that is 27 feet long.
she is going to cut the paper into posters that are each one yard long.
How many posters will Catherine be able to make from her roll of paper
Answer:
9
Step-by-step explanation:
1 yard = 3 feet
27 / 3 = 9
8x- 2 =54
helppp ? ??
4. The black triangle was transformed to
make the gray triangle. Which represents
the transformation?
A (x, y) + (x + 3, y + 3)
B (x, y) → (3x, 3y)
C (x,y) → (x-2, y-2)
Describe the lines in the figure below identify the figure
Answer:
The lines are congruent, the figure is a parallelogram.
Answer:
The figure shown is a parallelogram.
The lines on the sides are parallel
And the line on the top and the line on the bottom are parallel
Step-by-step explanation:
Plssss someoneee helppp MEE withhh thissss PLEASEEEE
Answer:
I think it is 5x+2y=41
Step-by-step explanation:
compare using >,=,or <. -1.5_____-3/2. -4/5_____-5/4. -3/5_____-6/10. -2/3_____1/3
Answer:
-1.5 = -3/2
-4/5 > -5/4
-3/5 = -6/10
-2/3 < 1/3
Step-by-step explanation:
If you convert -3/2 into a decimal, it equals -1.5
-5/4 is an improper fraction which makes it greater than one, but since it is negative, it is further away from zero making it less than -4/5
-3/5 is the simplified form of -6/10. 3x2= 6 and 5x2=10
1/3 is positive making it greater than any negative
What is the area??? I don't understand I have tried so hard.
Answer:
should be 45.6
Step-by-step explanation:
find the value of 64°
Answer:
The number 64 has 4 in the ones place and 6 in the tens place. Explore different numbers with your children. Discuss how many tens and how many ones (units) there are in each number.
\
Step-by-step explanation:
Answer:
I cannot complete this without an image but the answer you might be looking for is 16/25 that is the number simplified when put into decimal form.
Step-by-step explanation:
I did the best I could with what you gave me Vote Brainiest!!
pls help me with this problem its due in 10 minutes i do not need a full explanation
Answer:
20,781.64[tex]in^{3}[/tex]
Step-by-step explanation:
V = [tex]3.14*21^{2} *\frac{43}{3}[/tex]
good luck, i hope this helps :)
A helicopter landing pad has a length of 80 ft and a width of 50 ft. A safety zone of uniform width, which is not to be entered during landing, surrounds the landing pad. The landing pad and safety zone together have a combined area of 10800 ft2, what is the uniform width (safety zone) around the landing pad?
Step-by-step explanation:
Let w be the uniform width of the safety zone.
We have combined area = 10,800ft².
=> Combined area = Length * Width
= (80 + 2w)(50 + 2w)ft².
Therefore (80 + 2w)(50 + 2w) = 10,800.
=> 4,000 + 260w + 4w² = 10,800
=> 4w² + 260w - 6,800 = 0
=> w² + 65w - 1,700 = 0
=> (w - 20)(w + 85) = 0
=> w = 20 or w = -85
(w = -85 is rejected as width must be positive)
Hence the uniform width is 20ft.
Lane is fourteen years older than Michelle. If Lane is 33, how old is Michelle?
Answer:
19
Step-by-step explanation:
if lane is 14 years older and he is 33 to find michelle's age you just have to subtract 14 from 33 and get that that michelle is 19
Answer:
Michelle would be 19 years old
Step-by-step explanation:
33 minus 14 years is 19 because he is 33 she is 14 years younger so she would be 19 years old
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Answer:
(-17,-14)
Step-by-step explanation:
Find the geometric mean of 24 and 45.
The geometric mean of 24 and 45 is equal to 32.86.
Given the following data:
Numbers = 24 and 45.What is geometric mean?Geometric mean is an average value that is used to indicate the central tendency of a data set containing a group of numbers, especially by determining the product of their values.
Mathematically, geometric mean is given by this formula:
[tex]G=\sqrt[n]{x_1x_2...x_n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]G = \sqrt[2]{24 \times 45} \\\\G = \sqrt{1080}[/tex]
G = 32.86.
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