Answer:
Exact form: 19/9
Decimal form: 2.1
Mixed number form: 2 1/9
Step-by-step explanation:
Answer: x=2√7 or x=−2√7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3 from both sides.
Step 3: Divide both sides by (-1)/12.
Step 4: Take square root.
x=±√28
x=2√7 or x=−2√7
Pls help I need heeeeeeeeelp
Answer:
C. y - 3 = -2(x - 4)
Step-by-step explanation:
The equation of the line can be written in point-slope form as y - b = m(x - a),
Where,
m = slope
(a, b) = coordinates of a point on the line.
Find slope (m) using the points (4, 3) and (5, 1)
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{5 - 4} = \frac{-2}{1} = -2 [/tex]
m = -2.
Substitute a = 4, b = 3, and m = -2, into y - b = m(x - a), the equation that best fits the graph would be:
✔️y - 3 = -2(x - 4)
Select the correct answer
What is the inverse of this function?
= &, for $20
OA :) = 64:3, for $20
OB. 19) = 852, for = 20
oc (s) = 152, for => 0
OD. 1) = 643? for => 0
If you can help me with this whole thing i will be forever in your dept
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Write your answer in the space below.
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
Write your answer in the space below.
3. Write the system of equations using your answers from questions 1 and 2.
Write your answer in the space below.
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.
Write your answer in the space below.
5. Solve the system of equations. Show your work.
Write your answer in the space below.
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?
Write your answer in the space below.
Answer:
Answer:
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
Step-by-step explanation:
Answer: dude above me copied
Step-by-step explanation:
1. y = 35x
2. y = 30x + 1
3. y = 35x
y = 30 x + 1
4. Its more convenient to substitute y because It's easier.
35x = 30(x + 1)
5. 35x = 30x + 1
35x = 30x + 30
35x -30x = 30
5x = 30
x = 6 (30/5 = 6)
35 x 6 = 210 (y)
6. Both people have read 210 pages and it takes amir 6 days to catch up.
Mang Jose plans to fence his rectangular lot before he will plant mushrooms for his mushrooms production business. The perimeter of the lot is 40 meters and the area is 96 square meters.
Using the concept of the sum and product of roots of a quadratic equation, how would you determine the length and the width of the rectangular lot? Provide a quadratic equation representing this scenario.
Someone help me
Answer: The rectangular lot is 12x8 meters
Step-by-step explanation: Perimeter of a geometric figure is the sum of all its sides.
A rectangle is a quadrilateral that has opposite sides parallel and equal, which means, and suppose l is length and w is width:
P = 2l + 2w
The perimeter of the lot is 40m, thus:
2l + 2w = 40
Area of a rectangle is calculated as:
A = length x width
The lot has area of 96, thus:
lw = 96
Solving the system of equations:
2l + 2w = 40 (1)
lw = 96 (2)
Isolate l from (1):
2l = 40 - 2w
l = 20 - w (3)
Substitute (3) in (2):
w(20-w) = 96
[tex]-w^{2}+20w=96[/tex]
[tex]-w^{2}+20w-96=0[/tex]
There are many methods to determine the roots of a quadratic equation. One of them is using the sum and product of those roots.
Sum of the roots is given by:[tex]sum = \frac{-b}{a}[/tex]
[tex]sum=\frac{-20}{-1}[/tex]
sum = 20
Product of the roots is:[tex]prod=\frac{c}{a}[/tex]
[tex]prod=\frac{-96}{-1}[/tex]
prod = 96
The roots of the quadratic equation are numbers which the sum results in 20 and product is 96:
w₁ = 12
w₂ = 8
If we substitute w to find l, the numbers will be l₁ = 8 and l₂ = 12.
Since length is bigger than width, the rectangular lot Mang Jose has to plant mushrooms measures 12m in length and 8m in width
10) Select the best answer.
How many significant figures does the following number have?
9876
1
3
2
5
4
Answer:
4
Step-by-step explanation:
Significant figures are whole numbers, without any decimals, the four numbers are therefore significant.
Q.2. Separate the digits of the number "893451" as per National and
International place Value systems and write their number names.
Ans.
Answer:
imm a bit sorry I could only answer the international one as the national is equal to international place value system
Step-by-step explanation:
eight hundred ninety three thousand four hundred fifty one
hth tth th h t o
8 9 3 4 5 1
I hope you understand
What is the solution for the given equation?
4(x-1)-x=3(x+5)-11
Infinitely many solutions
X= 8
X= 0
No solution
Answer:
Infinitely many solutions
Step-by-step explanation:
Solve: 4(x-1)-x=3(x+5)-11
First distribute.
4x-4-x=3x+15-11
Comvine like terms.
3x=4=3x-4
Infinitely many solutions.
Hope this helps plz hit the crown :D
Help pls 4=36÷____________
Answer:
9
Step-by-step explanation:
36 ÷ 4 = 9
36 ÷ 9 = 4
Answer:
9
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1247 seats, leaving 57% vacant. How many total seats were in the theater?
Answer:
There were total 2900 seats in the theater.
Step-by-step explanation:
Given that:
Seats filled by students = 1247 seats
Vacant seats = 57%
Total percentage of seats = 100%
Percentage of seats filled by students = (100-57)%
Percentage of seats filled by students = 43%
Let,
x be the total number of seats.
43% of x = 1247
[tex]\frac{43}{100}x=1247\\0.43x=1247[/tex]
Dividing both sides by 0.43
[tex]\frac{0.43x}{0.43}=\frac{1247}{0.43}\\x=2900[/tex]
Hence,
There were total 2900 seats in the theater.
What is the domain?
What is the range?
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.
Hope this helps!
Jeremiah is also ordering comic books online. The equation y = 8x + 4 represents the total cost, y, including shipping for ordering x number of comic books. What is the cost of 20 comic books?
Answer:
[tex]y = 164[/tex]
Step-by-step explanation:
Given
[tex]y = 8x + 4[/tex]
Where
[tex]x = number\ of\ comic\ books[/tex]
[tex]y = total\ cost[/tex]
Required
Find y when x = 20
To do this, we simply substitute 20 for x in [tex]y = 8x + 4[/tex]
[tex]y = 8*20 + 4[/tex]
[tex]y = 160 + 4[/tex]
[tex]y = 164[/tex]
Hence, 20 comic books cost 164
Mr. Peterson sold a parcel of land and decided to share half of the amount he got among his three children Jane, Peter and martha in the ratio 4:5:7 respectively and according to their ages. the youngest child, who is 12 years old, received a$2000. how much money did peter and martha received?
Answer:
60,000
Step-by-step explanation:
Jane-2000
Peter-ratio of 5=25000
Marta-ratio of 7=35000
25000+35000
60000
Answer:
$6,000
Step-by-step explanation:
If [tex]y[/tex] is the amount of money a child receives, and [tex]x[/tex] is the total amount being divided among the children, then
Jane's share: [tex]y = \frac{4}{4+5+7} * x = \frac{4}{16}x[/tex]
Peter's share: [tex]y = \frac{5}{4+5+7} * x = \frac{5}{16}x[/tex]
Martha's share: [tex]y = \frac{7}{4+5+7} * x = \frac{7}{16}x[/tex]
We know Jane got $2000, so we can use that to solve for [tex]x[/tex]:
[tex]\frac{4}{16} x = 2000[/tex]
[tex]x = \frac{16}{4} * 2000 = 8000[/tex]
Plug this x value in to find how much Peter and Martha received:
[tex]\frac{5}{16} * 8000 + \frac{7}{16} * 8000 = $6000[/tex]
If angle 3 is a right angle, find angle 2
Answer:
∠2=37°
Step-by-step explanation:
Given:
∠1=4x°
∠2=∠4 (Vertical Angle Theorem)
∠3=90°
∠4=(3x+1)°
∠4=∠2 (Vertical Angle Theorem)
∠1+∠2+∠3=180° (We use this equation in the next step)
∠1+∠3+∠4=180°
Thus, ∠2=(3x+1)°, making:
(4x)°+(3x+1)°+90°=180°
7x+91=180
7x=89
x=12
This means:
∠1=4x=4(12)=48°
∠2=3x+1=3(12)+1=37°
∠3=90°
∠4=3x+1=3(12)+1=37°
PLEASE HELP I GOVE BRAINLIEST!!!!!
PLEASE MAKE SURE THE ANSWER IS RIGHT OR I WILL FAIL!!
What is the product of (9)(-9)(-1)?
O -81
O -1
O1
O 81
Answer:
81
Step-by-step explanation:
9 × -9 = -81
-81 × -1 = 81
Answer:
81
Step-by-step explanation:
9*-9=- 81
-81*-1= 81
Which equation represents the line shown in the graph below?
у
4
O
6+
4
21
-
х
11
-6
-2
-44
-6
8
PLEASE HELP ME I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!!!!
Ben, who owns a music company, decided that he wanted his four best
friends to be part owners in the business. He gave shares to his friends in
the following way:Friend #1 gets 1/3, Friend #2 gets 1/4, Friend #3 gets 15,
and Friend #4 gets 1/6 of the company. What fractional part of the
company does Ben still own? Be sure to show or explain your answer.
Answer:
0.05 or 5/100
Step-by-step explanation:
Write each set of fractions in order from least to greatest. 2/3, 15/18, 1/6
Answer:
1/6, 2/3, 15/18
Step-by-step explanation:
get a common denominator
2/3 times 6
15/18 times 1
1/6 times 3
new fractions : 12/18, 15/18, 3/18
so it would be 3/18, 12/18, 15/18
then just revert it back to the original fraction and you have your answer
calculate the 80th term of the following sequence 1 , 7 , 13 , 19
Answer: 475
sorry i solved it wrong the first time
Answer:
a₈₀ = 475
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
7 - 1 = 13 - 7 = 19 - 13 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 , thus
a₈₀ = 1 + (79 × 6) = 1 + 474 = 475
if a banana recipe calls for 3 cups for every 12 cups of batter, which statement is true?
There are 9 cups of batter fpr every cup of bananas..
There are 15 cups of bananas for every cup of batter..
There is 1/4 cup of batter for every cup of bananas..
There is 1/4 cup of bananas for every cup of batter
Answer:
There is 1/4 cup of batter for every cup of bananas..The distribution of the amount of turkey individual Americans eat in a year is approximately normal with an average of 16.7 pounds and a standard deviation of 3.8 pounds. 1) You ate 11.5 pounds of turkey last year. What percentile does that put you in
Answer:
82.88%
Step-by-step explanation:
Given that:
Mean (μ) = 16.7 pounds
Standard deviation (σ) = 3.8 pounds
Number of pounds eaten = 11.5 = x
P(11.5 ≥ x ≤11.5)
P(x ≤ 11.5) :
Zscore = (x - μ) / σ
Zscore = (11.5 - 16.7) / 3.8
Zscore = - 5. 2 / 3.8
Zscore = −1.368421
P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)
P(x ≥ 11.5) ;
Zscore = (x - μ) / σ
Zscore = (11.5 - 16.7) / 3.8
Zscore = - 5. 2 / 3.8
Zscore = −1.368421
P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)
P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)
0.91441 - 0.085593 = 0.828817
0.828817 * 100% = 82.88%
A realtor is decorating some homes for sale, putting a certain number of decorative pillows on each twin bed and a certain number on
each queen bed. In one house, she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. At another house, she used
37 pillows to spruce up 3 twin beds and 2 queen beds. How many decorative pillows did the realtor arrange on each bed?
Answer:
Each of the twin beds: 5 decorative pillows
Each of the queen beds: 11 decorative pillows
Step-by-step explanation:
Let the number of pillows used for each twin bed be x
Let the number of pillows used for each queen bed be y
she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. Thus;
x + 2y = 27 - - - (eq 1)
Also, she used
37 pillows to spruce up 3 twin beds and 2 queen beds. Thus;
3x + 2y = 37 - - - (eq 2)
From eq 1, x = 27 - 2y
Thus;
3(27 - 2y) + 2y = 37
81 - 6y + 2y = 37
81 - 4y = 37
4y = 81 - 37
4y = 44
y = 44/4
y = 11
x = 27 - 2(11)
x = 27 - 22
x = 5
Thus, she used 5 decorative pillows for each of the twin beds and 11 decorative pillows for each of the queen bed
Which expression represents the product of 5 and the sum of b and 4.
O b+5(4)
O 5+4b
O 5(b + 4)
O 5b + 4
Answer:
Option C: 5(b+4) is the correct answer.
Step-by-step explanation:
Given that:
Which expression represents the product of 5 and the sum of b and 4.
We will divide it into two parts;
The sum of b and 4 means addition
b+4
And product means multiplication;
5(b+4)
The expression 5(b+4) represents the product of 5 and the sum of b and 4.
Hence,
Option C: 5(b+4) is the correct answer.
Find the size of the angle
3
x
.
Answer:
Given - Two angles measures 2x and 3x
To find - size of 3x
Solution -
2x + 3x = 360° ( Make reflex angle )
5x = 360°
x = 360/5
x = 72°
3x = 3 * 72 = 216°
y=6x+5 find the slope
Answer:
find the slope? the slope is the number attached to the x so itd be 6
Answer:
slope- 6
Step-by-step explanation:
y=mx+b
y= outcome of the equation being done to x
m=slope
b=starting point on the you axis
x=the plug in on the x axis
y=6x+5. example: x=1
y=6 (1)+5
y=11
slope=6
How do I write 55555 in expanded form
Answer:
FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE
Step-by-step explanation:
0.85 round the way to the nearest gram
Answer:
1 gram
Step-by-step explanation:
Rounded, it is one gram or one whole, you round the whole number.
PLZ HELP WILL MARK BRAINLESY
consider the function f(x)=3x+1 and the graph of the function g(x) shown below
Answer:
7
down
3x-6
Step-by-step explanation:
g(x)=3x-6
f(x)=3x+1
Thus, g(x) is just f(x)-7
The ratio of the sides of a triangle is 8:13:11. If the perimeter of a triangle is equal to 256, what is the length of the longest side?
I NEED AN EXPLANATION PEASE!! I need it fast!
Answer:
55
Step-by-step explanation:
180 - 82 - 43 = 55
I think this is right! I hope you have a good day and stay safe!
