Answer:
[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]
Step-by-step explanation:
We can set up the following equation with the information given:
[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.
Solving, we get:
[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].
The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
What are integers?Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.
Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.
So if we have to form an equation for three consecutive numbers, it will,
(x-1), x, (x+1),
Now, according to the question,
(x-1) + x + (x+1) = 4x -12
Solve the equation,
3x = 4x -12
x = 12
Hence, first integer = 12 -1 = 11,
Second integer = 12,
Third integer = 12+1 = 13.
Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
To know more about integers:
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Find the x and y intercept of y = 5x - 2. Random answers will be reported. Who ever answers right first will be marked brainlest.
Answer: x intercept is 2/5, and y intercept is -2
Step-by-step explanation:
Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.
PLS help whats 800000000.0%x9000000.0%=p\
Answer: 720,000,000,000
Step-by-step explanation: Find your answer by multiplying the 2 percent's.
Let p, equal percent.
800000000.0%x9000000.0% = p
800000000.0%x9000000.0% = 720,000,000,000
720,000,000,000 = p
What percent of 40 is22 ?
Answer: 181.82
Explanation:
Step 1: We make the assumption that 22 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=22.
Step 4: In the same vein, x%=40.
Step 5: This gives us a pair of simple equations:
100%=22(1).
x%=40(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the left hand side of both equations have the same unit (%); we have
100 percent/X percent = 22/40
Step 7: Taking the inverse (or reciprocal) of both sides yields
100 percent/X percent = 40/22
X = 181.82%
Therefore, 40 is 181.82% of 22.
Hope this helps^-^.
Find the restrictions on the variable.
Answer:
[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]
Step-by-step explanation:
x^2 + 4x - 45
= (x+9)(x-5)
x^2 + 10x + 9
= (x+9)(x+1)
So the fraction goes to
[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].
Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.
immy said, “The ratio of boys to girls in my class is 3 to 4. For every 3 boys we have 4 girls.” If her class has 24 girls, how many boys are in her class? Show ALL work.
Answer:
18 boys
Step-by-step explanation:
24 divided by 4 gives you 6 girls so multiply the amount of boys (3) and you will get how many boys are in her class.
Answer:
18 boysStep-by-step explanation:
The ratio is:
b/g = 3/4, where b- boys and g- girls24 girls in the , then number of boys is:
b / 24 = 3/4b = 24*3/4b = 185(−2n + 4) + (n - 3)=
HELP ME YO I LISTEN TO TRIPPIE REDD
Answer: blank = 2
Step-by-step explanation:
i checked the denominators to see if they had some form of correlation. i did this with the denominators because both of them were given. i saw that 16 is twice the number of 8, so i just said "what is twice the number of 1?" and got my answer.
Answer:
2
Step-by-step explanation:
Trippie is amazing, good job. What's your favorite song from him mine is Excitement.
A line passes through the points (-4, 8) and (3, -7).
Answer all parts of the question.
Part A: What is the slope of the line that passes through these points.
Part B: What is the equation of the line that passes through these points.
Part C: Where does the line intersect the x-axis and y-axis?
Answer: (hope I got them correct)
A) -15/7
B) [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex]
C) It cuts the x-axis at (-4/15,0) and the y-axis at (0,-4/7).
Step-by-step explanation:
A) Slope = [8-(-7)]/(-4-3) = -15/7
B) Let [tex]y=-\frac{15}{7}x+c[/tex] be the required equation.
Substitute x=-4, y=8.
8=(-15/7)(-4)+c
c=-4/7
The equation is therefore [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex].
C) Substitute y=0, we will get x = -4/15 i.e. it cuts the x-axis at (-4/15,0).
Substitute x=0, we will get y = -4/7 i.e. it cuts the y-axis at (0,-4/7).
jameson runs m miles and burns c number of calories is this independent or dependent
Answer:
the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent
Help please extra points
Answer:
The answer to the question provided is letter c.
carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank
Answer:
(1/8) / 6 =
1/8 * 1/6 =
1/48 of a lb per fish tank <==
plz give brainlest
Step-by-step explanation:
Please help I will like and brainy
Answer:
Ok ill help u ! What do u need help on?
If a tires k=0.85, what does this tell you about the tire installed on the car as opposed to the factory-installed tire?
A) The tire on the car is smaller than factory installed tire.
B) The tire on the car is the same as the factory installed tire.
C) The tire on the car is larger than the factory installed tire
D) The k value tells us nothing about the tire on the car.
Answer: since I don’t understand this question I’m choosing D
Step-by-step explanation:
The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140
A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?
Answer:
Reasonable prediction = 240 students
Step-by-step explanation:
Given that:
6 out of every 8 students own a pet.
Ratio = 6 : 8
Number of students surveyed = 320
Predicted number of students who own pets = x
Ratio = x : 320
As the relationship is proportional;
6 : 8 :: x : 320
Product of mean = Product of extreme
8x = 320 * 6
8x = 1920
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]
Hence,
Reasonable prediction = 240 students
Lol I need help agin
Step-by-step explanation:
7
b²=√218²-13²
=218-169
=49
=√49
=7
What is the value of 16 - 3k + 5 when k = 4?
Answer:
9
Step-by-step explanation:
Substitute 4 as k into the equation.
16 - 3(4) + 5
simplify
16 - 12 + 5
4 + 5
9
The answer is 9.
Answer:
9
Step-by-step explanation:
16-3(4)+5
16-12+5 use BODMAS rule
16-7
9
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answer:
4b = 4(11/4)
3b = 3(7/3)
An account has a principal of $500 and a
simple interest rate of 3.3%. How much interest
would be earned after 3 years?
Answer:
$49.50
Step-by-step explanation:
Simple interest formula => interest = principal x rate x time period
interest = 500 x .033 x 3 years
interest = 49.50
I hope this helps!
-TheBusinessMan
Urgent help need it plz
Answer:
angle 1 = 51
angle 2 = 34
angle 3 = 95
angle 4 = 38
angle 5 = 47
angle 6 = 74
angle 7 = 59
Step-by-step explanation:
a straight line is 180 degree, so to find angle 1, subtract 129 by 180.
angle 2 is found by adding angle 1 and 95 then subtract that by 180.
angle 3 and 95 are opposite angles, so they are the same
for angle 4, add angle three and 47 then subtract that by 180
angle 5 is 47, they are opposite
angle 7, subtract 121 by 180
angle 6, you add angle 5 and 7, and subtract that by 180
Which of the following must be true for the parallelogram shown below?
Answer:
We conclude that:
Option D i.e. m∠DAB = m∠BCD is correct option.
Step-by-step explanation:
We know that a Parallelogram is a quadrilateral with two pairs of parallel sides.
We also know that the opposite angles of a parallelogram are equal.
Given
m∠DABm∠BCDFrom the figure:
It is clear that m∠DAB is the opposite angle of m∠BCD.
Thus,
m∠DAB = m∠BCD ∵ opposite angles of a parallelogram are equal.
Therefore, we conclude that:
Option D i.e. m∠DAB = m∠BCD is correct option.
SUP= 125 UPE=110 SRE=85 find SUR
Answer:
m∠SUR = 15°
Step-by-step explanation:
m∠UPE = 110°
m∠UPR = m∠EPR [Given]
m∠UPR = [tex]\frac{1}{2}(m\angle UPE)[/tex]
= [tex]\frac{1}{2}(110)[/tex]
= 55°
Since, m∠SRU = m∠UPR [Given in the picture]
m∠SRU = 55°
m∠SRE = m∠SRU + m∠URP + m∠PRE
85° = 55° + m∠URP + m∠PRE
m∠URP + m∠PRE = 30°
Since, m∠URP = m∠PRE
m∠URP + m∠URP = 30°
m∠URP = 15°
Since, m∠URP = m∠SUR [Given in he picture]
m∠SUR = 15°
A car is moving at a rate of 35 miles per hour, and the diameter of its wheels is 2.5 feet. (Round 1 decimal place).
A.) Find the number of revolutions per minute that the wheels are rotating.
B.) Find the angular speed of the wheels in radians per minute.
In a NFL game in December the Seattle Seahawks scored 16 of their 40 points in the second quarter. What percent of their total points were made in the second quarter?
Answer:
That would be 40%.
Find the area of each triangle?
The Equation of line K is y=8/7x+3 perpendicular to line k is line L which passes through (-8,3) what is the slope of the equation of line l
Answer:
mathm waaayys can help you
Step-by-step explanation:
In the diagram below, AB is parallel to CD. What is the value of x?
B
459
A. 30
B. 45
C. 60
D. 135
Answer:
Could you show the diagram?
Marion is driving between two towns that are close together. If she drives 1⁄5 the trip in 15 minutes, what is her rate per hour?
Answer:
4/5 in one hour
Step-by-step explanation:
15 minutes is 1/4 of an hour so all you need to do is multiply one 1/5 by four
tell me if im wrong plz
Answer:
4/5 in one hour
Step-by-step explanation:
Write an equation in Standard Form for each story below.
1: Ming sold 2 boxes of grapefruit and 5 boxes of oranges for $103.
Answer:
2x+5y=103
Step-by-step explanation:
x=price per box of grapefruit
y=price per box of oranges
Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.
Answer:
Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.
Step-by-step explanation:
Answer:
Terms: addition, division, multiplication
Constants: 9 and 2
Coefficients: 4 and 3
I think these are the right answers, I am so sorry if they are wrong!!