Simplifying
3x + 1 = 3[x + -1] + 4
Reorder the terms:
1 + 3x = 3[x + -1] + 4
Reorder the terms:
1 + 3x = 3[-1 + x] + 4
1 + 3x = [-1 * 3 + x * 3] + 4
1 + 3x = [-3 + 3x] + 4
Reorder the terms:
1 + 3x = -3 + 4 + 3x
Combine like terms: -3 + 4 = 1
1 + 3x = 1 + 3x
Add '-1' to each side of the equation.
1 + -1 + 3x = 1 + -1 + 3x
Combine like terms: 1 + -1 = 0
0 + 3x = 1 + -1 + 3x
3x = 1 + -1 + 3x
Combine like terms: 1 + -1 = 0
3x = 0 + 3x
3x = 3x
Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x
Combine like terms: 3x + -3x = 0
0 = 3x + -3x
Combine like terms: 3x + -3x = 0
0 = 0
This equation is an identity, all real numbers are solutions.
For a group of 70 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, compute (a) The expected number of days of the year that are birthdays of exactly 4 people:
Answer:
0.0157
Step-by-step explanation:
From the information given:
The sample size = 70
The expected no. of days of year that are birthday of exactly 4 people is:[tex]P = \bigg [ \dfrac{1}{365} \bigg]^4[/tex]
The expected number of days with 4 birthdays = [tex]\sum \limits ^{365}_{i=1} E(x_i)[/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg][/tex]
= 0.0157
Therefore, the required probability = 0.0157
write the fraction of 15/25 in its simple form
Answer:
3/5
First you would need to find the greatest common factor of 15 and 25
which is 5
Then divide the numerator and denominator by the GCF
15 divided by 5
25 divided by 5
Then simplify your answer is
3/5
Look at the figure. Find the value of x.
Please help!!!!!!!!!
Answer:
alternative interior
I need help please and thank you
Answer:
A
Step-by-step explanation:
I don’t get it can someone help me please.
9514 1404 393
Answer:
89.1 liters
Step-by-step explanation:
"At the same rate" means miles and liters are proportional. The unknown is liters, so we can write the proportion with liters in the numerator:
liters/miles = x/672 = 49/369.6
Multiplying by 672, we have ...
x = 672(49/369.6) ≈ 89.09091
It will take 89.1 liters of gas to go 672 miles.
In triangle ABC, angle A is 35 and angle b is 20 select all triangle which are similar to triangle ABC.
Answer:
The similar one are 1 and 5
A. Triangle DEF where ∠D is 35° and ∠E is 20°.
C. Triangle JKL where ∠J is 35° and ∠L is 125°.
D. Triangle MNO where ∠N is 20° and ∠O is 125°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles of a triangle is equal to 180°.
Given, A triangle ABC has ∠A = 35° and ∠B = 20°.
∴ ∠C = 180° - 35° - 20°.
∠C = 125°.
Triangle will be similar if every corresponding angle of different triangles has the same measure.
So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20°.
Triangle JKL where ∠J is 35° and ∠L is 125°.
Triangle MNO where ∠N is 20° and ∠O is 125°.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
(2,1)
(1,1)
(0,1)
Answer:
(1,1)
Step-by-step explanation:
Answer: I would say (1,1) or (0,1)
sorry if I got it wrong or couldn’t help
. Sinaia is having a birthday party with snacks and activities for her guests. At one table, five
people are sharing three-quarters of a pizza. What equal-sized portion of the whole pizza will
each of the five people receive?
Answer:
1/5 or 0.2 of the whole pizza
but it says that theres only 3/4 of the pizza there. so 3/4 of a pizza eaten by 5 people each person would get 0.15 of the pizza
Step-by-step explanation:
The quotient of a number and 4 is less than -1
Write the word sentence as an inequality
Less than = <
Quotient= Division
4 divided by X(unknown) will be LESS than -1
Answer---> X divided by 4 < -1
Pls help. I need to solve for those 3 values and I’ll give u the Brain thing is u get it right
Answer:
x = 11
y = 8
z = 42
Step-by-step explanation:
From the given figure
∵ l[tex]_{1}[/tex] and l[tex]_{2}[/tex] intersected at a point
∴ ∠1 and ∠4 are vertically opposite angles
→ Vertically opposite angles are equal in measures
∴ m∠1 = m∠4
∵ m∠1 = 4(3y - 12)°
∵ m∠4 = (8y - 16)°
→ Equate their measures
∵ 4(3y - 12) = 8y - 16
∴ 4(3y) - 4(12) = 8y - 16
∴ 12y - 48 = 8y - 16
→ Subtract 8y from both sides
∵ 12y - 8y - 48 = 8y - 8y - 16
∴ 4y - 48 = -16
→ Add 48 to both sides
∴ 4y - 48 + 48 = -16 + 48
∴ 4y = 32
→ Divide both sides by 4
∴ y = 8
∵ ∠4 and ∠5 formed a pair of linear angles
→ The sum of the measures of the linear angles is 180°
∴ m∠4 + m∠5 = 180°
∵ m∠5 = (12x)°
∵ m∠4 = 8(8) - 16 = 64 - 16 = 48°
→ Add them and equate the sum by 180
∵ 48 + 12x = 180
→ Subtract 48 from both sides
∴ 48 - 48 + 12x = 180 - 48
∴ 12x = 132
→ Divide both sides by 12
∴ x = 11
∵ ∠4, ∠3, and ∠2 formed a line
∴ ∠4, ∠3, and ∠2 are linear angles
→ The sum of the measure of the linear angles is 180°
∴ m∠4 + m∠3 + m∠2 = 180°
∵ m∠4 = 48°
∵ m∠3 = 3(11) + 9 = 33 + 9 = 42°
∵ m∠2 = (2z + 6)
→ Add them and equate the sum by 180
∵ 48 + 42 + 2z + 6 = 180
→ Add the like terms in the left side
∴ 96 + 2z = 180
→ Subtract 96 from both sides
∵ 96 - 96 + 2z = 180 - 96
∴ 2z = 84
→ Divide both sides by 2
∴ z = 42
In a survey of 3100 people who owned a certain type of car, 1240 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
40% of people would buy the car again.
Hope this helps!
Step-by-step explanation:
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Answer:
5/12
Step-by-step explanation:
im finding answers for hegarty maths and i got it wrong and it said 5/12 was the answers
thank me later
Answer:
2/36
Step-by-step explanation:
i found it on another website
Which multiplication expression is equal to 1/2 ÷ 4/5?
A. 1/2 x 4/5
B. 2/1 x 4/5
C. 1/2 x 5/4
D. 2/1 x 5/4
Answer:
[tex]C. \frac{1}{2} \times \frac{5}{4} [/tex]
2 wholes and 1/4 minus 3/8
what is the value of x?
3x−6=21?
Answer:
X = 9
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
solve x 3+3(x+2)=-24
Answer: x =5
Step-by-step explanation:
[tex]x + 3 + 3(x + 2) = - 24[/tex]
[tex]x + 3 + 3x + 6 = - 24[/tex]
[tex]4x + 9 = - 24[/tex]
[tex]4x = - 24 - 9[/tex]
[tex]4x = - 33[/tex]
[tex]x = \frac{ - 33}{4} [/tex]
answer the following questions please
Answer: 11. D 12.d 13. A
Step-by-step explanation:
Answer:
Evern though this isn’t a math question, I’ll still help you :)
11. Option D
12. Option D
13. Option B
Hope this helps! :)
What is the equation of the line that has a slope of 4 and a y-intercept of -7?
y = -7 x + 4
y = -4 x + 7
y = 4 x - 7
y = 7 x - 4
Answer:
y = 4 x - 7
The slope is the number multiplied by x, 4
Step-by-step explanation:
;-;
Answer:
The answer is C
Step-by-step explanation:
12(1.5x+2) = 14(x+10.5)
Answer:
No Solution.
X cannot equal anything in order for these to be equal.
Step-by-step explanation:
If 2/3 equals = X/12 what is the value of x
Answer:
the answer is
x=8
Step-by-step explanation:
3x = 24
divide
Answer: x=8
Step-by-step explanation:
4x^2-9×-9=0 solve using quadratic equation
Define confidence interval and degree of confidence. Provide at least one example of a confidence interval and interpret the result.
Answer:
confidence interval:
This tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Degree of confidence:
This tells us that the confidence interval has captured the true/exact population parameter.
If we have 95% degree of confidence, we are 95% sure that that the exact/true parameter are in the confidence interval
(tan x - 1) (sin^2x - 3) =0
no answer necessary
Answer:
0
Step-by-step explanation:
Thx
SOMEONE WHO IS GOOD AT GEO MATH PLZ HELPPP!!!
The Venn diagram represents enrollment in various classes at a certain high school. 12 students take math (Math) only. 11 students take English (Eng) only. 16 students take biology (Bio) only. 30 students are enrolled in math and English, but not biology. 15 students are enrolled in all three classes. 200 students attend the school, and 16 students take biology and English, but not math. How many students are enrolled in math and biology, but not English?
A.
12
B.
17
C.
75
D.
100
Please select the best answer from the choices provided
A
B
C
D
Using the symbols in the Venn diagram, we want to find A given that
B = 16
C = 15
D = 30
and given that 25 students don't take any of these courses.
There are 200 students total, so we need to have A plus the total number of students given in the diagram sum to 200. This means
(math only) + (English only) + (biology only) + (math and English, no biology) + (math and biology, no English) + (English and biology, no math) + (all three) + (none of the three) = 200
or
12 + 11 + 16 + 30 + A + 16 + 15 + 25 = 200
Solve for A to get A = 75, making the answer C.
what is f - 11 = 14 2/7
31.286 i think that its 31.286 bc welp me smart
A 30 foot ladder is placed against a vertical wall so that the base of the ladder is 10 feet from the base of the wall. How far up the wall does the ladder reach?
Answer:
the answer is approximately 28.28
Step-by-step explanation:
you use the pythagorean theorem to find the last length. I could explain it further, but you can take my word for it, its correct. I double checked.
It has a fixed cost of $62,150. If the selling price per unit is $9.50 and the variable cost per unit is $6.25, the breakeven point is
Answer:
Break-even point = $19,123 (Approx)
Step-by-step explanation:
Given:
Fixed cost = $62,150
Selling price = $9.50
Variable cost = $6.25
Find:
Break-even point
Computation:
Break-even point = Fixed cost / [Selling price - Variable cost]
Break-even point = 62150/[9.50-6.25]
Break-even point = 62150/3.25
Break-even point = $19,123 (Approx)
ignore this there is nothing to see
solve the following equation 2y-4=-5y+16
Answer:
y=20/7 or y=2.85
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
2y-4=-5y+16
2y+5y-4=16
7y-4=16
7y=16+4
7y=20
y=[tex]\frac{20}{7}[/tex]
y=3