From the given system of equation x = 2y and 2x + 5y = 9, using the substitution method we get the value of y = 1.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We have given system of equation
x = 2y
2x + 5y = 9
Using the substitution method
2(2y) + 5y = 9
4y + 5y = 9
9y = 9
y = 1
Learn more about solving equations here:
https://brainly.com/question/18015090
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Answer 1-2 no links.
Answer:
Step-by-step explanation:
If f(x) = 3 ^ x - 7 and g(x) = x ^ 2 + 11 , the value of f(2) - g(7) is:
Answer:
The value of [tex]f(2) - g(7)=-58[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]
What is the median of the following data values?
10, 11, 12, 15, 19, 24, 27, 29, 33, 38
Answer:
21.5
Step-by-step explanation:
Make sure they are in order.
A median is basically (or literally) the number in the middle of the data set.
In this case, it is 19 and 24. To get the middle number, you have to:
Add the two numbers and divide them by 2.
19 + 24 = 43
43/2 = 21.5
Simplify 30 ÷3 of [37-{30÷(13-20+12)}-26]
Explanation:
30 ÷3 of [37-{30÷(13-20+12)}-26]
= 30÷3 × [37-{30÷(25-20)}-26]
= 30÷3 × [ 37-{30÷(5)}-26]
= 30÷ 3 × [37-{30÷5}-26]
= 30÷3 × [ 37 - {6}-26]
= 30÷3 × [ 37-6 - 26]
= 30÷3 × [ 37 - 32]
= 30÷3 × [5]
= 30÷3 ×5
= 30÷15
= 2Ans.
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Evaluate. {3+ [-5 (2 – 4) : 2]} •3
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Answer:
[tex] \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26][/tex]
[tex] \rm \: The \: operation \: 'of'[/tex]
[tex] \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.[/tex]
[tex] \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26][/tex]
[tex] \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26][/tex]
[tex] \rm30 ÷3 \times [37-{30÷(25-20)}-26][/tex]
[tex] \rm30 ÷3 \times [37-{30÷(5)}-26][/tex]
[tex] \rm \: 30 ÷3 [37-{30÷5}-26][/tex]
[tex]30 ÷3 [37-{6}-26][/tex]
[tex] \rm \: 30 \div 3\times [31 - 26][/tex]
[tex] \rm30 \div 3 \times 5[/tex]
[tex] \rm \: 10 \times 5[/tex]
[tex] \rm \: 50[/tex]
Determine the value of the given expression -3 1/3×1 5/6
Answer: 6
Step-by-step explanation:
3
1
a−1−
2
1
b
=
3
1
⋅12−1−
2
1
⋅6 Replace a with 12 and b with 6.
=4−1−3
=0
Help i need help IM SO CONFUSED
Answer:
1. 3/8 are female
2. 1/6 ton
3. 1 and 31/40 kg
Step-by-step explanation:
1. 5/8-male, 8/8 - 5/8 = 3/8
2. 2/15 + 3/15 = 5/15, 5/15 = 1/3, 1/3 = 10/30, (1/2 = 15/30) 15 - 10 = 5, 5/30 = 1/6
3. 7/8 + 9/10 = 71/40
Answer:
Step-by-step explanation:
1) 5/8 of the staff is male, 5/12 of the staff works part time
the question askes what fraction of the workforce is female
if 5/8ths is male than the other 3/8ths are female
3/8 of the staff is female
2) how much food was fed at night
2/15 + (2/15 + 1/15) + x = 1/2
2/15 + (3/15) + x = 1/2
5/15 + x = 1/2
1/3 + x = 1/2
x = 1/6
1/6th of a ton was fed at night
3)
just add them
7/8 + 9/10 = 71/40 or 1 31/40
HELPPPPPPPPPPPPPpppp
8.722 / (-3.56)
Expand [tex]\frac{8.722}{-3.56}[/tex] by multiplying both numerator and denominator by 1000.
[tex]\frac{8722}{-3560}[/tex]
Reduce the fraction [tex]\frac{8722}{-3560}[/tex] to the lowest terms by extracting and cancelling out 178.
-[tex]\frac {49}{20}[/tex] = -2.45
Triangle UVW is dilated by a scale factor of 6 to form triangle U'V'W'. Side W'U'
measures 18. What is the measure of side WU?
Answer:
WU= 3
Step-by-step explanation:
Know that, W'U'÷ (scale factor) = WU
18÷6 is equal to 3
scale factor= 3
A product of a number and 6 is 26
Choose the answer:
A. n*6=26
B. 6+n =26
C. 6-n
D. 6-n=26
Answer:
A
Step-by-step explanation:
n is the number.
So n*6=26
Hey there!
Guide:
• Difference = Subtract
• Is = Equal to
• Product = Multiply
• Quotient = Divide
• Sum = Add
• Unknown number = a number that’s isn’t known yet
Question reads….
“ A [PRODUCT] of [a NUMBER] & 6 [is] 26”
RANDOM:
• Product is multiply/multiplication
• A number is unknown so we will label it as “n”
• 6 stays the same because nothing happened to it
• 26 is BEHIND the equal sign but nothing happens to it because nothing is being compared to it
ANSWER:
“n * 6 = 26”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A consumer magazine wants to figure out which of two major airlines lost a higher proportion of luggage on international flights. The magazine surveyed Standard Air (population 1) and Down Under airlines (population 2). Standard Air lost 45 out of 600 bags. Down Under airlines lost 30 of 500 bags.
Does Standard Air have a higher population proportion of lost bags on international flights?
Calculate the appropriate p-value.
i. 0.0817
ii. 0.1634
iii. 0.8366
iv. 0.9183
Translate this sentence into an equation.
76 is the product of Greg's savings and 4.
Use the variable g to represent Greg's savings.
Answer: 76 = 4g
Step-by-step explanation:
76 is the product of Greg's savings and 4 can be represented as 76 = 4g
Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5
Answer:
(d) 3/5
Step-by-step explanation:
The equation ...
[tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]
can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.
[tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]
_____
Additional comment
"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.
Evaluate223×225Give your answer as a mixed number in its simplest form.
Help for points and Ill give brainliest to correct!
Answer:
D. 3 1/4
Step-by-step explanation:
Answer:
your answer would be D.
Step-by-step explanation:
all you have to do for this equation is subtract the whole numbers to get 3. and then subtract the fractions, you would get 2/8, then you would simplify it and get 1/4.
The length of a retangle garden is 4 yards more than its width The area of the garden is 60 square yards Find the with of the garden
Find the LCM of 8, 4 and 6.
Answer:
Answer: LCM of 4, 6, and 8 is 24.
Answer:
24Step-by-step explanation:
8 → 8, 16, 24, 32, 40
4 → 4, 8, 12, 16, 20, 24, 28, 32, 36
6 → 6, 12, 18, 24, 30, 36
----------------------------------
So the LCM is 24.
-----------------------------------
- Hope it helps!
- Have a good day!
PLEASE HELP WHAT IS THE DOMAIN AND RANGE OF THIS GRAPH
Pay attention in school bud
The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates of BB?
The formating kinda screwed up
Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
The mid-point of two points is the mean of the coordinates of each point.In this problem:
The points are: A(2, -5) and B(x,y).The mid-point is (0, -3).Applying the concept for both the x and y-coordinates, we have that:
[tex]\frac{x + 2}{2} = 0[/tex]
[tex]x + 2 = 0[/tex]
[tex]x = -2[/tex]
[tex]\frac{-5 + y}{2} = -3[/tex]
[tex]-5 + y = -6[/tex]
[tex]y = -1[/tex]
The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at https://brainly.com/question/10956693
what is 24% of 80 plzz help
Answer:19.2
Step-by-step explanation:
Write the following statements in the form of equations.
c. One third of a number plus 7 is 26.
Answer:
Brainless please?
Step-by-step explanation:
1/3x +7=26
guys pls help with all the steps
Step-by-step explanation:
To solve both questions you will have to use the Pythagoras theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
c being the hypotenuse
so to find AB we say
[tex] {ap}^{2} = {pb}^{2} + {ab}^{2} [/tex]
To make AB the subject of the formula, we take PB over. Therefore:
[tex] {ab}^{2} = {ap}^{2} - {pb}^{2} [/tex]
now we just substitute
[tex] {ab}^{2} = {13}^{2} - {5}^{2} [/tex]
[tex] {ab}^{2} = 169 - 25[/tex]
[tex] {ab}^{2} = 144[/tex]
square root both sides of the equation
[tex]ab = 12[/tex]
We then use the same formula to find AQ(which is a hypotenuse)
[tex] {aq}^{2} = {ab}^{2} + {bq}^{2} [/tex]
[tex] {aq}^{2} = {12}^{2} + {9}^{2} [/tex]
[tex] {aq}^{2} = 144 + 81[/tex]
[tex] {aq}^{2} = 225[/tex]
square root both sides
[tex]aq = 15[/tex]
An artist spends $80 on brushes and paint. For canvas and
frames, she has to spend an additional $20 per painting.
Write an equation in slope-intercept form(y=mx+b) that shows
the relationship between the artist's total expenses(y) and the
number of paintings(x) that she makes.
Answer:
y = 20x + 80
Step-by-step explanation:
round to the nearest percent. from 64 photos to 21 photos
Answer: 71 percent
Step-by-step explanation:
64-21=43
43/64=.71
20 points please help with this
Answer:
D) 12
Step-by-step explanation:
27:9=36:x
Well I'm assuming these 2 triangles are similar
Then
3:1=36:x
x=12
Answer:
Option D
Step-by-step explanation:
Since they are in proportion. So,
27 : 36 :: 9 : x
27 × x = 36 × 9
x = 36 × 9/27
x = 12 × 1
x = 12
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?
Answer:
116.55$
Step-by-step explanation:
[tex]259 \times \frac{45}{100} = 116.55[/tex]
What does eight divided by 4/5 equal
Answer:
0.4
Step-by-step explanation:
I used a calculator so it should be correct
Hannah makes $46,675 per year, how much will she make each paycheck if she is paid
weekly?
Answer: $897.6
Step-by-step explanation: 46,675 a year, 52 weeks in a year. 46,675/52=897.6
Find the area of the shape
Answer:
400 [tex]ft^{2}[/tex] (Don't forget the square symbol!)
Step-by-step explanation:
For the triangle:
Base times height divided by 2.
8 x 25 = 200
200/2 = 100
For the regtangle:
Width times height.
25 x 12 = 300
Add them together, and you get:
100 + 300 = 400.
Answer:300
Step-by-step explanation:25*12=300
25
x12
50
250+50=300
how much would it cost for a 9-hour repair
Find the fourth degree polynomial function with zeros 6,-6,6i
Answer:
See below
Step-by-step explanation:
6 is a solution to x-6=0, -6 is a solution to x+6=0, and 6i is a solution to x^2+36=0. So, we can do (x-6)(x+6)(x^2+36) to get (x^2-36)(x^2+36) which gets us x^4-1296. Therefore, the fourth degree polynomial with zeroes 6, -6, 6i is x^4-1296