Answer:
x = 3.5, y = 2
Step-by-step explanation:
This is a system of equations.
Original equations:
[tex]4x+5y=24\\3x+7y=21[/tex]
Substitute y and solve for x:
→ [tex]y=\frac{24-4x}{5} \\2x+7y=21[/tex]
Substitute the value for y and simplify:
→ [tex]2x+\frac{7(24-4x)}{5} =21[/tex]
→ [tex]2x + \frac{(168 - 28x)}{5}=21[/tex]
Multiply by 5 on both sides
→ [tex]10x + 168-28x = 105[/tex]
Simplify → [tex]-18x = -63[/tex]
→ [tex]x = 3.5[/tex]
Plug in the value for x into either equation:
→ [tex]4*3.5 + 5y=24[/tex]
→ [tex]14+5y=24[/tex]
→ [tex]5y=10[/tex]
→ [tex]y=2[/tex]
Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?
Yoo how yall doinnnnn
Answer:
pretty good tired of the virus stuff but good
Step-by-step explanation:
Answer:
Im great... how bout you?
Step-by-step explanation:
Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?
A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.
PLEASE ANSWER FAST
Answer:
ayy
Step-by-step explanation:
sup
Answer:
12 4/5
Step-by-step explanation:
you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve
Solve for t in the equation
Answer:
t=1/5=0.2
Step-by-step explanation:
(5t+3)/4=1
5t+3=4
5t=1
t=1/5=0.2
Answer:
1/5
Step-by-step explanation:
5t+3/4=1
5t+3=1*4
5t+3=4
5t=4-3
5t=1
t=1/5
2x+7=19 solving two-step equations
Answer:
x=6
Step-by-step explanation:
divide each term by 2 then simplify
Answer:
6
Step-by-step explanation:
First what you do is you subtract 7 from both sides to get 2x by itself.
2x + 7 - 7 = 19 - 7
2x = 12
Then you divide 2 from both sides to get x by itself.
2x/2 = 12/2
x = 6
Your answer is then x = 6.
Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases
Answer:
pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw
HELP PLEASE ILL GIVE U 50 POINTS
Answer:
6x^2+2x
Step-by-step explanation:
Answer:
area of rectangle=2x×(3x+1)=6x²+2x
Solve for u. 7/6=u+4/8 Simply the answer.
Answer:
plz mark brainliest
Step-by-step explanation:
16/3 or 5 1/3
Answer:
[tex]u=\frac{16}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]
Step 2: Solve for u
Cross-multiply: [tex]7(8)=6(u+4)[/tex]Multiply: [tex]56=6(u+4)[/tex]Distribute 6: [tex]56=6u+24[/tex]Isolate u term: [tex]32=6u[/tex]Isolate u: [tex]\frac{32}{6} =u[/tex]Simplify: [tex]\frac{16}{3} =u[/tex]Rewrite: [tex]u=\frac{16}{3}[/tex]Step 3: Check
Plug in u into the original equation to verify it's a solution.
Substitute in u: [tex]\frac{7}{6} =\frac{\frac{16}{3} +4}{8}[/tex]Add: [tex]\frac{7}{6} =\frac{\frac{28}{3}}{8}[/tex]Divide: [tex]\frac{7}{6} =\frac{7}{6}[/tex]Here we see that 7/6 does indeed equal 7/6.
∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.
74ft
24ft
b
What is the length of the missing leg?
Answer: 70
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + b^2 = 74^2
576 + b^2 = 5,476
-576 -576
b^2 =4,900
(square root)
b =70
i need help. it’s due tonight.thank you
Answer:28
Step-by-step explanation:
Modeling With Systems of Equations Quick Check
1 of 5Items
Assessment started: Modeling With Systems of Equations Quick Check.
Item 1
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
Step-by-step explanation:
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
Step-by-step explanation:
The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
Answer:
f ≥ 35
Step-by-step explanation:
Took the test on Aleks, it was right! :)
I need help solving and checking the answer before my test tomorrow. ♀️im gonna fail so if you know anything please solve it and show how to check the answer
Step-by-step explanation:
-3+5=-10
−3x+5−5=−10−5
−3x=−15
−3x÷−3=−15÷-3
x=5
(-2 4/5)(1 4/5)
=-14/5×19/5
=-14×9/5×5
=-126/25
=-5 1/25
Answer:
3. x = 5
4. -5 1/25
Step-by-step explanation:
Question 3 Solving:
your equation is -3x + 5 = -10
subtract 5 from both sides to get the term with x alone: -3x = -15
divide both sides by -3 to isolate x (remember that a minus divided by minus is plus): x = 5
To check:
plug in 5 to x and see if you get -10 on both sides
-3(5) + 5 = -10
first multiply -3 and 5:
-15 + 5 = -10
then add 5 to -15:
-10 = -10
if the number are equal then you solved the equation correctly
Question 4:
multiply the whole number by the denominator, then add the numerator to the product, and that number will be your new numerator ( make sure to leave the negative sign out of this computation)
so multiply 2 and 5 to get 10, then add 4 to get 14
your new fraction is -14/5
practice doing the same thing to the other mixed fraction
you should get a new fraction of 9/5
multiply the numerators and denominators
so multiply -14 and 9, and multiply 5 and 5
you now have -126/25
divide 126 by 25 to get your whole number of the mixed fraction
you should have -5 ?/25
to find the numerator, multiply your whole number by your denominator (25 x 5 = 125), then subtract this from your numerator of the improper fraction
126-125 = 1
now you have an answer of -5 1/25
12x² + 8x = 0
What are the zeroes?
Answer:
The zeros are at 0 and -2/3
do yall know this one?
Answer:
8x
Step-by-step explanation:
it's the slope
y = 8x or y = 8/1x
Do not place /1.
The system understands that there is a invisible 1 that's how all whole number can turn into equations.
how many times bigger is 2 times 10 to the 10th power than 150 million
Answer: 2 x 10^10 =20000000000
and 150,000,000 is 150 million so you subtract and you get
19,850,000,000
Step-by-step explanation:
5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be on the front cover during the next 5 years?
Answer:
25 times
Step-by-step explanation:
If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish
The proportion is therefore 5/12
In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.
Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years
To check if we are correct, we check the proportion to see if it still evaluates to 5/12
25/60= 5/12 when reduced to lowest terms
18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25
Answer:
[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]
__________________21-
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]
_________________22-
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]
_________________23-
[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]
ab (3a-5b) equals to?
Answer:
3a^2b-5ab^2
Step-by-step explanation:
Answer:
3a²b-5ab²
Step-by-step explanation:
Distribution method:
ab (3a-5b) = 3a²b-5ab²
Is 1.6 or 1.25 bigger
A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?
Answer:
18 / 6 = 3
The scale is 1:3
3 * 4.5 = 13.5
13.5 * 18 = 243 square feet
The answer is 243 square feet.
Step-by-step explanation:
Hope this helped!
A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees
Answer:
252°
Step-by-step explanation:
Given
Shape: Decagon
Required
Determine the value of n
A Decagon has 10 sides and a complete rotation takes 360°
First, we need to calculate the angle of each rotation as follows.
Each Rotation = ⅒ * 360°
Each Rotation = 360°
Next, we determine the possible values of n.
The statement is represented as "possible values of n" because n can assume infinite number of values.
However, n must be a multiple of 36
From the list of given options.
10, 150 and 225 are not multiples of 36
Only 252 happens to be a multiple of 36 from the list of given options.
Hence, option D answers the question [base on the given options]
A decagon is a ten-sided polygon.
The value of n could be 252 degree.
Since, A Decagon has 10 sides
The angle made in one complete rotation is 360 degree.
Now find angle made in each rotation is,
[tex]=\frac{360}{10}=36degree[/tex]
Now, we have to find possible values of n.
Since, n must be a multiple of 36
Apply hit and trial from given option.
We observe that from given options, only 252 degree is multiple of 36.
Therefore, value of n could be 252 degree.
Hence, option 4 is correct.
Learn more:
https://brainly.com/question/9549251
Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.
5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2
Answer:
5+5
Step-by-step explanation:
5+5 and 2+2+2+2+2
two fives equal ten and five twos equal ten.
Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6^2020 + 7^2020. He stated that the expression was
not equivalent to 13^2020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?
Answer:
The last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 7, 7
Step-by-step explanation:
The given question is to find the value of the sum of two numbers 6²⁰²⁰ + 7²⁰²⁰, where, 6²⁰²⁰ + 7²⁰²⁰ ≠ 13²⁰²⁰
We have;
The last two digits of the powers of 6 are;
6¹ = 6, last two digits = 06
6² = 36, last two digits = 36
6³ = 216, last two digits = 16
6⁴ = 1,296, last two digits = 96
6⁵ = 7,776, last two digits = 76
6⁶ = 46,456, last two digits = 56
6⁷ = 279,936, last two digits = 36
6⁸ = 1,679,616, last two digits = 16
6⁹ = 10,077,696, last two digits = 96
6¹⁰ = 60,466,176, last two digits = 76
6¹¹ = 362,767,056, last two digits = 56
Therefore, the last two digits repeat itself every 5 times
For 6²⁰²⁰, the last two digits will be for the 2020/5 = 404 complete times, which will be 76
The last two digits of the powers of 7 are;
7¹ = 7, last two digits = 07
7² = 49, last two digits = 49
7³ = 343, last two digits = 43
7⁴ = 2,401, last two digits = 01
7⁵ = 16,807, last two digits = 07
7⁶ = 117,649, last two digits = 49
7⁷ = 823,543, last two digits = 43
7⁸ = 5,764,801, last two digits = 01
Therefore, the last two digits repeat itself every 4 times
For 7²⁰²⁰, the last two digits will be for the 2020/4 = 505 complete times, which will be 01
Therefore, the last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 76 + 01 = 77, which is 7, 7
apply appropriate methods in solving rationalequations and inequalities.
Which graph represents a function?
Answer:
The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
Simultaneous equations
y=x+2
y=x^2
Answer:
(- 1, 1 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² → (2)
Substitute y = x² into (1)
x² = x + 2 ( subtract x + 2 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )
The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?
Answer:
Option (C)
Step-by-step explanation:
Option A.
Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]
From the table attached,
Ratio = [tex]\frac{6}{24}[/tex]
= 1 : 4
Option B.
Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]
= 1 : 6
Option C.
Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]
= 1 : 3
Option D.
Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]
= 7 : 24
≈ 1 : 3.43
Since, highest ratio means biggest fraction (with least denominator).
From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].
Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).
Based on what you see here, what is the domain of this function?*
Your answer
This is a required question
Answer:
Domain seems to be all real numbers.
Step-by-step explanation: