Three consecutive integers that add up to 27 are 8, 9, and 10
Hope this helps =)
First represent your 3 consecutive integers as x, x + 1, and x + 2.
Since their sum is 27, our equation reads x + (x + 1) + (x + 2) = 27.
Now simplifying on the left side we get 3x + 3 = 27.
You should be able to easily solve for x and find that x = 8.
Make sure you list all your answers.
If x is 8, then x + 1 is 9 and x + 2 is 10.
A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.
Answer:
Step-by-step explanation:
From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=[tex]\sqrt{42}[/tex]. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=[tex]\sqrt{42}[/tex]+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+[tex]\sqrt{42}[/tex]+2. now we know what X is equal to. Now we plug in x for [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42, which gives us [tex](-y+\sqrt42}+2+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+[tex]\sqrt{42}[/tex]+4+y=[tex]\sqrt{42}[/tex]. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.
Get brainiest if right!!
Mark has 1.5 times more collectible cards than Jacob. If Mark
gives Jacob 11 cards, they will have the same number of
collectible cards. How many cards do they have?
Answer:
17.5 cards
Step-by-step explanation:
11 x 1.5 = 16.5
16.5 + 11 = 17.5 cards
Answer:
110
Step-by-step explanation:
Let us take Jack cards as x
Then Mark cards will be 1.5 * x
Mark gives 11 cards to Jack...the equation is
1.5 * x - 11 = x + 11
Adding +11 on both sides
1.5*x -11 + 11 = x + 11 + 11
1.5*x = x + 22
Subtracting x on both sides
1.5*x - x = x + 22 - x
.5*x = 22
x = 22 * 1/.5 = 220/5 = 44
Now go back to the initial equation
Mark >> 1.5 * x = 66
Jack >> 1 * x = 44
Total >> 110.
Two angles are supplementary. One angle measures (3x + 2) degrees. The other angle measures twice that amount. What equation could be used to solve for x?
Answer:
I do not know the equations given but here's my equation and solution:
9x = 174°
x = 19 1/9°
Step-by-step explanation:
(3x + 2) + 2(3x + 2) = 180°
3x + 2 + 6x + 4 = 180°
9x + 6 = 180°
9x = 174°
x = 19 1/9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
write even number between 10 and 20
If y = -5x + 2 were changed to y=-7x+ 5, how would the graph of the new line compare with the first one? A. The new graph would be less steep than the original graph, and the y-intercept would shift down 2 units. B. The new graph would be less steep than the original graph, and the y-intercept would shift up 3 units. O C. The new graph would be steeper than the original graph, and they intercept would shift down 2 units. D. The new graph would be steeper than the original graph, and the y intercept would shift up 3 units.
D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.
The purple line is y=-5x + 2
The pink line is y = -7x + 5
Find all the zeros of f(x) = 2x - 5x² - 4x + 10.
Answer:
10
Step-by-step explanation:
Plug in 0 where x is
See image below:)
f(x) = 2x3 + 5x^2 - 6x - 7
g(x) = 2x - 3
Find (f - g)(x).
9514 1404 393
Answer:
(f-g)(x) = 2x^3 +5x^2 -8x -4
Step-by-step explanation:
(f -g)(x) = f(x) -g(x)
(f -g)(x) = (2x^3 +5x^2 -6x -7) -(2x -3) = 2x^3 +5x^2 -6x -7 -2x +3
(f -g)(x) = 2x^3 +5x^2 -8x -4
can someone please help me solve?
Answer:
0.75
Step-by-step explanation:
d = FE = 4
e = DF = 3
f = ED = 5
f/sin(F) = e/sin(E)
5/sin(90) = 3/sin(E)
5 = 3/sin(E)
sin(E) = 3/5 =0.6
E = asin(0.6) = 36.869898... degrees
tan(E) = tan(36.869898...) = 0.75
5/6 multiples by 10/11
Answer:
0.757... (recurring)
Step-by-step explanation:
5 10 50
_ x _ = _
6 11 66
50/66 = 0.757...
:D
Answer:
50/66
Step-by-step explanation:
[tex](\frac{5}{6})(\frac{10}{11}) = \frac{50}{66}[/tex]
Have a great day!
hala paid $1,202.17 for the carpet in her living room. The room has an area of 251.5 square feet. what was her unit cost of carpeting in dollars per square foot
Answer:
4.78
Step-by-step explanation:
1202.17/251.5 = 4.78
4.78 per unit
Answer:
$4.78 per square foot
Step-by-step explanation:
Find the unit cost by dividing the total cost by the number of square feet:
1,202.17/251.5
= 4.78
So, the unit cost is $4.78 per square foot
PLEASE HELP AND IF POSSIBLE WITH SOLOUTIONS PLEASE. VIEW THE PICTURE.
-NO TROLLS PLEASE. IM SICK OF TROLLS.
Answer:
A ≈ 26.6° (nearest tenth)
Step-by-step explanation:
The diagram shows a right triangle. To solve for A, we would apply trigonometric ratio formula.
Reference angle = <A
Opposite = 6 m
Adjacent = 12 m
Apply TOA
Tan A = Opp/Adj
Substitute
Tan A = 6/12
Tan A = 0.5
A = [tex] Tan^{-1}(0.5) [/tex]
A ≈ 26.6° (nearest tenth)
What is A number divided by 82
Answer:
Hey there, Lets solve this step by step.
A number t divided by 82
Let the number be represented by y.
t divided by 82 = t / 8
Therefore-
In algebraic expressions, "y" is normally used as the dependent variable and "x" is normally used as the independent variable, instead of other variables. So that is why i used the variable y in the equation.
Step-by-step explanation:
What is a statistical error?
Answer:
Statistical error is the difference between the estimated or approximated value and the true value.
Two Possible Types of Statistical Error
Type I Errors occur when we reject a null hypothesis that is actually true; the probability of this occurring is denoted by alpha (a).
Type II Errors are when we accept a null hypothesis that is actually false; its probability is called beta (b).
Example
You test whether a new drug intervention can alleviate symptoms of an autoimmune disease.
A Type I error happens when you get false positive results: you conclude that the drug intervention improved symptoms when it actually didn’t. These improvements could have arisen from other random factors or measurement errors.
A Type II error happens when you get false negative results: you conclude that the drug intervention didn’t improve symptoms when it actually did. Your study may have missed key indicators of improvements or attributed any improvements to other factors instead.
Idek how to explain this but please help me
Answer:
Put 4 in the place of x then you'll get
[tex] \frac{10}{22} [/tex]
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
→ Substitute 4 for x
[tex]\frac{4^{2}-6 }{(3*4)+10} =\frac{16-6}{12+10} =\frac{10}{22} =\frac{5}{11}[/tex]
In circle A below, chord BC and diameter DAE intersect at F. If arc CD = 46° and arc BE = 78°, what is m_BFE? D B А
Given:
Consider the below figure attached with this question.
In circle A below, chord BC and diameter DAE intersect at F.
The arc CD = 46° and arc BE = 78°.
To find:
The measure of angle BFE.
Solution:
According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.
Using intersecting chords theorem, we get
[tex]m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))[/tex]
[tex]m\angle BFE=\dfrac{1}{2}(46^\circ+78^\circ)[/tex]
[tex]m\angle BFE=\dfrac{1}{2}(124^\circ)[/tex]
[tex]m\angle BFE=62^\circ[/tex]
Therefore, the measure of angle BFE is 62°.
From a standard deck of 52 cards (containing the spades, diamonds, clubs, and hearts suites), what is the probability that you draw the three of squares?
Answer:
1/52
Step-by-step explanation:
theres 52 cards and there is only one three of squares so there is a 1/52 chance
Answer:
3/52
Step-by-step explanation:
A bookstore helppppppoo
30% fewer mysteries means it has 70% of the quantity of science fiction:
Mysteries = 120 x 0.70 = 84
They have 84 mystery books.
They have 25 % more biographies than mysteries:
Multiply the number of mysteries by 1 + 25%:
84 x 1.25 = 105
They have 105 biographies
If you are just given the two points it is the same formula. Find the midpoint between the points (4,-5) and (-4,5)
mid point =((4+(-4))/2,(-5+5)/2)
=(0,0)
The midpoint between the points (4, -5) and (-4, 5) is (0, 0).
To find the midpoint between two points ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), you can use the midpoint formula:
Midpoint = [tex]((x_1+ x_2)/2, (y_1+ y_2)/2)[/tex]
In this case, the two points are (4, -5) and (-4, 5).
So, the midpoint using the formula:
[tex]x_1[/tex] = 4
[tex]y_1[/tex] = -5
[tex]x_2[/tex]= -4
[tex]y_2[/tex] = 5
Midpoint
= ((4 + (-4)) / 2, (-5 + 5) / 2)
= (0 / 2, 0 / 2)
= (0, 0)
Therefore, the midpoint between the points (4, -5) and (-4, 5) is (0, 0).
Learn more about midpoint here:
https://brainly.com/question/24089949
#SPJ2
Please help.
A: 4/7
B: 3/7
C:5/7
D: 2/7
D: 2/7
Step-by-step explanation:
The probability of an event x is how likely the event will occur. It is given as;
P(x) = number of expected outcomes / number of possible outcomes
Given:
Event A = The place is a city.
Therefore,
P(A) is the probability that the event A happens. i.e the probability that a place is a city.
P([tex]A^c[/tex]) is the probability that the event A does not happen. i.e the probability that a place is not a city
Also,
The sum of the probability that an event happens and the probability that the event does not happen is equal to 1. i.e
P(A) + P([tex]A^c[/tex]) = 1
From the table,
P([tex]A^c[/tex]) is found by counting the number of places that does not have a tick on the "is a city" column, then divide the result by the total number of places. i.e
P([tex]A^c[/tex]) = 2 ÷ 7
P([tex]A^c[/tex]) = 2/7
Therefore P([tex]A^c[/tex]) which is the probability that the place is not a city is 2/7
Please help me!!
Complete the truth table for the statement A ∧ ~(B ∧ C).
A B C A ∧ ~(B ∧ C)
T T T
?
T T F
?
T F T
?
T F F
?
F T T
?
F T F
?
F F T
?
F F F
?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The desired expression can be expanded to the sum of products form ...
A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)
It will only be true when A is true and one of B or C is false.
Question 8 of 10
The linearized regression equation for an exponential data set is
log y = 0.23x + 0.8, where x is the number of years and y is the population
What is the predicted population when x - 10? Round your answer to the
nearest whole number.
A. 81,963
B. 200
C. 3
D. 1259
.
Answer:
log y = 3
Step-by-step explanation:
Substitute 10 for x, obtaining the following:
log y = 0.23(10) + 0.8, or
log y = 2.3 + 0.8, or 3.10, or (to the nearest whole number):
log y = 3
I NEED IT FASSSTTTTTT
Answer:
1/3 & option 1
Step-by-step explanation:
24) you are given the angle of red, and a circle is 360 degrees in all so:
red/full circle = 120/360 = 1/3
8) option 1 = a^2 + b^2 = c^2
Answer:
24)1/3
8)option 1
Step-by-step explanation:
1○=360°
120°/360°=1/3
a2+b2+=c2
Find P(7). 1 2 3 4 5 6 7 8 where hand points to 3
1/8
1/4
1/2
Answer:
1/2
Step-by-step explanation:
Every time clock moves 1 (like for example it move from 3 to 4) 1/8 it covers
3->4->5->6->7 => 1/8+1/8+1/8+1/8 => 4/8 => 1/2
A student takes a true-false test consisting of 10 questions. Assuming the student guesses at each question, find the probability that the student gets a 60% on the test.
How to solve the inequality 8x + 10 ≤ 60
Answer:
x ≤ 6.25
Step-by-step explanation:
8x + 10 ≤ 60
Subtract 10 from both sides
8x ≤ 50
Divide both side by 8
x ≤ 6.25
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help with those math probelm please
Answer:
170 books
Step-by-step explanation:
Each book equals 10 books. So 17x10 equals your answer! (170)
Good luck to you!
please help I'm not good with word problems
Answer:
7 5/8
Step-by-step explanation:
5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8
Which interval would not be used for the stems of a stem-and-leaf plot?
1
5
10
100
PLEASE HELP 100 IS NOT RIGHT
Answer:
I JUST DID IT ITS 5.
Answer:
5
Step-by-step explanation:
An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation?
Answer:
7x+12y<350
Step-by-step explanation:
7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350
Find the solution of the system of equations.
6x+2y = 16
20 - 2 = 32
HELP PLSSSS