Answer:
(3x+-8) + 7x
Pls mark brainliest
Solve and classify the given system of linear equations. -9x+2y=-4. -x+4y=-2
The solution to the system is x = 6/17 and y = -7/17
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
-9x+2y=-4
-x+4y=-2
Multiply -9x+2y=-4 by 2
So, we have
-18x + 4y = -8
Subtract -18x + 4y = -8 from the equation -x+4y=-2
-x + 18x + 4y - 4y = -2 + 8
Evaluate the like terms
17x = 6
Divide both sides of the equation by 17
x = 6/17
Substitute x = 6/17 in -x + 4y = -2
-6/17 + 4y = -2
This gives
4y = -2 + 6/17
Evaluate
4y = -28/17
Divide by 4
y = -7/17
Hence. the solution to the system is x = 6/17 and y = -7/17
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You can't remember how many rides you went on at the amusement park. But, you know that each ride cost $3 and it cost $20 to get into the park. How many rides did you go on if you spent a total of $41?
Answer:
7 Rides
Step-by-step explanation:
Alright so you can already take out 20 bucks out of 41, so 21 bucks left. Then it's simple division, 21 / 3 = 7. You went on 7 rides. Hope this helps. Have a great night. :)
Answer:
7 rides!
Step-by-step explanation:
Our equation: 20+3x=41
x= the number of rides you went on
41-20= 21
21/3=7
Therefore, you went on 7 rides :))
solve for f f/5=-8 need help asap
Step-by-step explanation:
[tex] \frac{f}{5} = - 8[/tex]
[tex]f = - 8 \times 5[/tex]
[tex]f = - 40[/tex]
Find the value of x.
X
38°
75°
Answer:
67
Step-by-step explanation:
Angles in a triangle add to 180°.
Amanda and her friend worked together selling lemonade. They eamed x dollars. After splitting the money evenly between the two of them, they each had $30.25. What is x?
Answer:
x = $60.50
Step-by-step explanation:
It’s $60.50 because there are 2 people so u multiply $30.25 by 2 and you get $60.50
Please Help I’m struggling
The inequality for the given statement is 0<n≤8 and the solution set the inequality -8 ≤ w < 2 are w=-8, w=-5 and w=0.
The given inequality is -8 ≤ w < 2.
What is the solution set of inequality?The solution set of inequality is the set of all solutions. Typically an inequality has infinitely many solutions and the solution set is easily described using interval notation.
a) The solution set the inequality -8 ≤ w < 2 is {-8, -7, -6, -5, -4, -3, -2, -1, 0, 1}
So, the solution sets from the options are w=-8, w=-5 and w=0.
b) The given equation is "a number n is greater than 0, and less than or equal to 8"
The inequality for the given statement is 0<n≤8.
Therefore, the inequality for the given statement is 0<n≤8 and the solution set the inequality -8 ≤ w < 2 are w=-8, w=-5 and w=0.
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Easton broke a cell sample into 8 batches, each weighing 3.9 x 10^-5 grams. How
much did the original sample weigh? Use scientific notation to express your answer.
The weight of the original sample from which all eight batches which each weighed 3.9 × 10-⁵ are obtained as required in the task content is; 3.12 × 10-⁴.
What is the weight of the original sample from which the eight batches were obtained?It follows from the task content that the weight of the original sample from which the eight batches were obtained be determined.
Hence, since each of the eight batches weighs;
3.9 × 10-⁵
Therefore, the weight of the original sample can be obtained as follows;
= 8 × 3.9 × 10-⁵
= 31.2 × 10-⁵.
However, when the weight is expressed in scientific notation, the weight of the original sample is;
3.12 × 10-⁴.
Ultimately, The weight of the original sample from which all eight batches which each weighed 3.9 × 10-⁵ are obtained as required in the task content is; 3.12 × 10-⁴.
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Joe needs to make a total of 20 deliveries this week. So far he has completed 19 of them. What percentage of his total deliveries has Joe completed?
Answer:
He has completed 95% of deliveries
Step-by-step explanation:
Calendars cost $0.75 each, and date books cost $0.50 each. Cindy ordered a total of 500 promotional items and spent $300. How many of each item did she order?
Answer:
it will be 100 dollar because it spend 50$ on each
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $2,000 for their reception. If the reception hall charges a $100 cleanup fee plus $37 per person, find the greatest number of people that they may invite and still stay within their budget.
The greatest number of persons that would be invited is 51.
How to solve for the number of inviteesIn order to get the greatest number of person that they would be inviting we would have this equation
100+37x ≤ 2,000
Where we have money budgeted to be 2000 dollars
cleanup fee = 100 dollars
Amount per person = 37 dollars
Then we would have
100+37x ≤ 2,000
37x ≤ 2000 - 100
37x ≤ 1900
we have to divide through by 37
37/37 = 1900 / 37
x = 51.3
Hence we would say that the greatest number of persons that would be invited is 51.
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A colony of bacteria doubles in population every hour. Approximately how many hours will it take until the colony is 32
size?
Answer:23 hours
Step-by-step explanation:23 hours
9/14×7/6 in the simplest form
Answer:
3/4
Step-by-step explanation:
[tex]\frac{9}{14} \times \frac{7}{6} \\ \\ =\frac{3}{14} \times \frac{7}{2} \\ \\ =\frac{3}{2} \times \frac{1}{2} \\ \\ =\frac{3}{4}[/tex]
Mr. Wolfe wrote a number on the board in expanded form.
He asked his math students to write the number in standard or word form. Some students and their answers are shown.
Belen: 4.096
Kara: four and sixty-nine thousandths
Liam: 4.609
Sam: four and six hundred nine thousandths
Which students wrote the number correctly?
A.
Belen and Sam
B.
Kara and Belen
C.
Kara and Liam
D.
Liam and Sam
Liam and Sam write the correct number.
Option D is true.
What is Expanded form of a number?
The splitting of numbers based on the place value is called Expanded form of a number.
The number is given as;
4×1 + 6 × 1/10 + 9 × 1/1000
Now, The number is written in standard form as;
⇒ 4×1 + 6 × 1/10 + 9 × 1/1000
⇒ 4 + 0.6 + 0.009
⇒ 4.609
Then write the number in word form,
⇒ 4.609 = Four and six hundred nine thousandths.
So, Liam and Sam write the correct number.
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Information to answer the question.
This data represents the number of jumps in a row 10 students made during a jump-rope competition.
30, 36, 38, 45, 57, 60, 77, 86, 88, 88
What is the interquartile range? Enter the answer in the box.
Jumps
Answer: 48
So, to find out the interquartile range, we must first find the median of the lower and upper half of the data. So, 30, 36, 38, 45, 57 | 60, 77, 86, 88, 88 For the first half, the median is 38, and for the upper half, the median is 86. The median of the lower half is known as the quartile 1, and the median of the upper half is known as the quartile 3. The interquartile range is found by the difference between Q3 and Q1. So, 86 - 38 = 48.
There were 48 jumps.
Hops this helps :)
Which is the graph of the equation y- 1 = 2/3(x - 3) ?
Step-by-step explanation:
To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.
Solve 9x-2y = 15 for y.
y= ?
(Use integers or fractions for any numbers in the expression.)
Answer:
[tex]\frac92x - \frac{15}2 = y[/tex]
Step-by-step explanation:
[tex]9x - 2y = 15 \text{ / Add 2y} \\9x - 2y + 2y = 15 + 2y \\\to 9x = 15 + 2y \text{ / Subtract 15} \\9x - 15 = 15 + 2y - 15 \\\to 9x - 15 = 2y \text{ / Divide by 2} \\\frac{9x - 15}2 = \frac{2y}2 \\ \\\frac92x - \frac{15}2 = y[/tex]
If the distance traveled is (4s3 - 6s² + 4s + 14) miles and the rate is (s + 1) mph, write an expression, in hours, for the time traveled.
The equation for time is URM:
[tex]time = \frac{distance}{speed \: (rate)} [/tex]
[tex]t(s) = \frac{4s {}^{3} - 6s {}^{2} + 4s + 14}{s + 1} = \frac{2(s + 1)(2s {}^{2} - 5s + 7) }{s + 1} \\ t(s) = 2(2s {}^{2} - 5s + 7) \\ t(s) = 4s {}^{2} - 10s + 14[/tex]
A water faucet leaked 3 2/6 liters of water every 3/5 of an hour. It leaked at a rate of how many liters per hour?
Our water faucet leaked 3 2/6 liters of water every 3/5 of a hour.
We are to find the rate in liter per hour at which the water faucet leaked.
First, use the number of liters the water faucet leaked in 3/5 of a hour.
This is 3 2/6 = 20/6
Therefore, the number of liters of water faucet leaked in 1 hour is
(20/6) / (3/5)
Before we solve this, we should simplify,
20/6 can be simplified to 10/3
3/5 cannot be simplified
Then, we should modify our problem to use reciprocation instead of a complex fraction,
(10 • 5) / (3 • 3)
This equals 50/9
Now, solve 50/9 for 5.555555555556
This rounds to 5.6
Thus, the required rate at which the water faucet leaked is 5.6 liters per hour.
A company reports that 2000 sem electronics parts where found defective. if this represents 5% of the total shipments how many of these parts were shipped?
The company shipped altogether 40,000 sem electronic parts. Out of which 2000 parts were reported as defective.
Given, we know that 2000 electronic parts we declared as defective.
from the question, the defective parts represented 5% of the total shipments.
let the total parts be 'x'.
therefore, 5% of total parts = 2000
⇒ 5% of x = 2000
⇒ 5/100 × x = 2000
⇒ 5x/100 = 2000
⇒ 5x = 200000
⇒ x = 200000/5
⇒ x = 40,000
total parts shipped = 40,000
hence we get the total electronic which were shipped as 40,000.
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Fran the Fearless has a well-known act at a local zoo. As part of the act, Fran handles a scary animal that she picks at random out of the Box of Terror. The following animals are in the box: 6 poisonous snakes, 8 nonpoisonous snakes, 11 poisonous spiders, and 4 nonpoisonous spiders. What is the probability that the animal Fran picks is poisonous or is a snake?
0.620 is the probability that the animal Fran picks is poisonous or is a snake .
How does probability explain work?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.Total animal = ( 6 + 8 + 11 + 4 ) = 29
Let, p = Event of poisonous animal
s = event of spider
p U s = event of poisonous or spider
p ∩ s = event of poisonous or spider
n(P) = No of poisonous = ( 6 + 11 ) = 17
n(S) = No of spider = ( 8 + 4 ) = 12
n(P ∩ S) No of poisonous spider = 11
Then , P [ P ] = 17/29 , P [S ] = 12/29 P [ P ∩ S ] = 11/29
P [ poisonous or spider ]
= P [ P ∪ S ] = P [P] + P [ S ] - P [ P ∩ S ]
= 17/29 + 12/29 - 11/29
= 18/29 = 0.620
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Can someone help me on this question? It's due tomorrow :(
Answer: option 1
Step-by-step explanation:
A scientist studies a pond and finds that it has 18 fish and 24 turtles. What is the ratio of turtles to fish in the pond? Responses 4:34:3 3:43:4 7:47:4 4:7
Answer:
4:3
Step-by-step explanation:
They list first first but then ask for turtles to fish.
[tex]\frac{24}{18}[/tex] Divide the top and the bottom by 6 to get [tex]\frac{4}{3}[/tex] or 4:3
Help please I will give 100 pts
AND! IF U GIVE THE CORRECT ANSWER U GET BRAINLIEST
I am aware of the topic (mathematics)
Thank uu
Answer:
27
Step-by-step explanation:
you just add all of them together
Suppose elementary students are asked their favorite color, and these are the
results:
28% chose blue
. 25% chose red
. 17% chose yellow
What percentage chose something other than red, blue, or yellow? (Each student
was only allowed to choose one favorite color.)
Answer:
30% of students chose something other
could you please show me how to perform this operation and express in scientific notation.
(2.8 x 10^4) x (4 x 10^5)
Thank you
Answer:
[tex]1.12 \times 10^{10}[/tex]
Step-by-step explanation:
[tex]2.8 \times 10^4 \times 4 \times 10^5 \text{ // I like to separate the tens from all other numbers}\\\to (2.8 \times 4) \times (10^4 \times 10^5) \text{ // Remember the rule: } a^n \times a^m = a^{n + m}\\\to 11.2 \times 10^{4 + 5}\\\to 11.2 \times 10^9 \text{ // } 11.2 \text{ is equal to } 1.12 \times 10^1\\\to 1.12 \times 10^1 \times 10^9\\\to 1.12 \times 10^{1 + 9}\\\to 1.12 \times 10^{10}[/tex]
5 is added to the cube of a number
Answer:
x^3 + 5
Explanation:
ABCD is a quadrilateral
What is n?
…………………..
Answer:
n=25
Step-by-step explanation:
5n-2+2n+7=180
combine like terms
7n+5=180
subtract 5 on both sides
7n=175
divide 7 on both sides
n= 25
find (f+g) (x) for f(x)=1/x and g(x)=x^4
Given the functions f(x) = 1/x and g(x) = x⁴, the function operation ( f + g )(x) is x⁴ + 1/x.
What is the function operation ( f + g )(x)?Given the functions in the question;
f(x) = 1/xg(x) = x⁴( f + g )(x) = ?To evaluate f + g, replace the function designators in f + g with the actual functions and simplify
( f + g )(x) = f(x) + g(x)
( f + g )(x) = ( 1/x ) + ( x⁴ )
Remove the parenthesis
( f + g )(x) = ( 1/x ) + ( x⁴ )
( f + g )(x) = 1/x + x⁴
Reorder 1/x and x⁴
( f + g )(x) = 1/x + x⁴
( f + g )(x) = x⁴ + 1/x
Given the functions f(x) = 1/x and g(x) = x⁴, the function operation ( f + g )(x) is x⁴ + 1/x.
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2 Determine the area of the square ABCD with AB=3cm. A 3cm B D C
The area of the given square is a 9.
According to the statement
We have to find that the area of the square.
So, For this purpose, we know that the
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
From the given information:
The square ABCD with the side AB=3cm. A 3cm B D C
Then
we know that the all the sides of the square all equals.
Then
AB=3cm = BC=CD=DA
Then
Area of the square = side*side
Area of the square = 3*3
Now,
The value of the Area of the square = 9.
So, The area of the given square is a 9.
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