Answer:
6, 7, 8
Step-by-step explanation:
Let the smallest integer be x.
The next greater one is x + 1.
The greatest of the three is x + 2.
Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.
2(x + 2) = x + 10
Solve the equation for x to find the smallest of the integers.
2x + 4 = x + 10
x = 6
The next one is x + 1.
x + 1 = 7
The greatest is x + 2.
x + 2 = 8
Answer: 6, 7, 8
Answer:
6, 7, 8
Step-by-step explanation:
You can set up variables to represent each of these integers.
For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.
Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.
Next solve for x using PEMDAS.
1. (x) + 10 = 2(x + 2)
2. x + 10 = 2x + 4
3. 2x - x = 10 - 4
4. x = 6
Now you can find the other integers by adding 1 and 2 to 6.
The correct answers should be 6, 7, 8.
Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles.
How much farther did Molly walk than her brother and sister combined?
O 0.38 miles
1.37 miles
O 2.22 miles
O 5.53 miles
Answer:
1.37 miles
Step-by-step explanation:
First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.
Janelle came to bat 464 times in 131 games. At this rate, how many times should she expect to have at bat in a full season of 162 games?
The rate at which she bats is an illustration of ratio and proportions
She's expected to bat 574 times in 162 games
In 131 games, she bat 464 times
Represent this as a ratio
[tex]\mathbf{Ratio = 131 : 464}[/tex]
Let the number of times she bat in 162 games be represented with x.
So, the ratio is represented as:
[tex]\mathbf{Ratio = 162 : x}[/tex]
Equate both ratios
[tex]\mathbf{162 : x = 131 : 464}[/tex]
Express as fractions
[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]
Multiply both sides by 162
[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]
Multiply
[tex]\mathbf{x= \frac{75168}{131 } }[/tex]
Divide
[tex]\mathbf{x= 574}[/tex]
Hence, she's expected to bat 574 times in 162 games
Read more about ratios and proportions at:
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1/4 , 0.5 , 10/25 from least to greatest
Answer: 1/4, 10/25, 0.5
Explanation: It doesn't take rocket science to solve this Brainliest please!
Ticket sales for for Matilda were 1,120 the first day. The next day, they sold 85 more tickets and made a total income of 2,310. What was the cost per ticket? The cost was dollars per ticket
Answer:
$14Step-by-step explanation:
The difference of sales between the first and the second days is the cost of 85 tickets:
2310 - 1120 = 1190Cost of a ticket:
1190/85 = 14Find the slope of these two points that's the cost
(0,1120)(85,2310)Slope
m=2320-1120/85-0m=14What value is added to both sides of the equation x^2 − 6x = 10 in order to solve by completing the square? (1 point)
Group of answer choices
−3
3
6
9
Answer:
9
Step-by-step explanation:
use half the x coefficent and square it
x^2 − 6x + (-3)^2 = 10 + (-3)^2
x^2 - 6x + 9 = 10 + 9
(x - 3)^2 = 19
A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0. 55. What is the probability of success on trial 11?.
Answer: Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16 . The probability of success, p = 0.84; the probability of failure can be expressed as; p(failure) = 1 - p(success) = 1 - 0.84 = 0.16 . The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial. Therefore, the probability of failure in the 11th trial is 0.16.
Step-by-step explanation: Generally, one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7, then the probability of failure of trial 7 will be evaluated as => q=1-0.84. q=0.16. And from the attribute stated above the probability of failure of trial 11 is q=0.16
How do you write 2,020 in scientific notation?
Answer:
a x 10b or 2.02 x 10³
Step-by-step explanation:
Have a great day!
In a kite ABCD, AB=CB , AD = CD, <B= 115 degree, <D=30 degree. Find <A = ?
Answer:
The measure of ∠A = 107.5°
Step-by-step explanation:
Given that
ABCD is a kite such that
AB = BC and AD = DC
Join A and C
Since AB = BC
→ ∠BAC = ∠BCA
Since , the angles opposite to equal sides are equal.
Let ∠BAC = ∠BCA = x°
and
Since AD = DC
→ ∠CAD = ∠ACD
Since , the angles opposite to equal sides are equal.
Let ∠CAD = ∠ACD = y°
Now
In ∆ ADC ,
∠ADC + ∠CAD + ∠ACD = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 30° + y°+ y° = 180°
⇛ 30°+2y° = 180°
⇛ 2y° = 180°-30°
⇛ 2y° = 150°
⇛ y° = 150°/2
⇛ y° = 75°
Therefore, ∠CAD = ∠ACD = 75°
and
In ∆ ABC,
∠ ABC + ∠BAC + ∠BCA = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 115° + x° + x° = 180°
⇛ 115°+2x° = 180°
⇛ 2x° = 180°-115°
⇛ 2x° = 65°
⇛ x° = 65°/2
⇛ x° = 32.5°
Therefore, ∠BAC = ∠BCA = 32.5°
Now, ∠ A = ∠BAC + ∠CAD
⇛ ∠A = 32.5° + 75°
⇛ ∠A = 107.5°
Therefore, ∠A = 107.5°
Answer:-
) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°Read more:
Similar Questions
ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.
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A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?
Answer:
No, the ratio is a bit inconsistent.
Step-by-step explanation:
The relationship between 14 and 84 red beads is multiplying by 6.
The relationship between 19 and 133 gold beads is multiplying by 7.
Hope this helps,
A cheerful teen willing to help,
stay positively safe!
I could really use MisterBrainly right now! 50 points and brainliest for first correct answer
Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?
Answer:
-3, 3
6,21
9,-9
Step-by-step explanation:
Answer:
> Your coordinates are; -3, 3 || 6, 21 || 9, -9
Step-by-step explanation:
> I hope this solves your problem correctly.
pls I need a step by step on how to solve
2+4=6−2
Answer:
4
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
x
(— - 6) - 2 = 0
4
6 6 • 4
6 = — = —————
1 4
x - (6 • 4) x - 24
——————————— = ——————
4 4
(x - 24)
———————— - 2 = 0
4
2 2 • 4
2 = — = —————
1 4
(x-24) - (2 • 4) x - 32
———————————————— = ——————
4 4
x - 32
—————— = 0
4
x-32
———— • 4 = 0 • 4
4
x-32
What is the relationship between these two vectors?
Answer:
a and c
Step-by-step explanation:
that's because they both have a and c....so their relationship is a and c
4. Solve for x, and explain which theorem or
postulate that helps you find the answer.
Answer:
x = 4° Alternate Exterior Angles
Step-by-step explanation:
[tex]\begin{array}{cc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\\end{array}\right][/tex]
Solve for x:
21x + 6° = 90°
21x = 84°
x = 84°/21
x = 4°
[tex]\begin{array}{ccc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\x = 4&Algebra\end{array}\right][/tex]
-Chetan K
are my answers correct?
Answer:
Partially. Your answer to a is correct but you used the wrong number for b.
Step-by-step explanation:
The amount of money you earn (profit) is taken after all of your expenses. You correctly calculated that Leo made $5000 in profit. Divide that by 40 instead of $12850. (answer: $125/hour)
HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!
Answer:
its F for the inequality to be true
(3/4(3/5) simplify i need the answer because i dont get it
Answer:
35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).
...
Reduce 3/5 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.
3 ÷ 15 ÷ 1.
Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/
Step-by-step explanation:
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
To learn more on angle click:
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A regular polygon has an exterior angle of 40
°
Work out the number of sides of the polygon.
Answer:
9 sides
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
To find the number of sides n divide the sum by 40°
n = 360° ÷ 40° = 9
Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have
Answer:
Your anwser would be
5.45454545455
Step-by-step explanation:
since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545
Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.
5x+3y=-21 into slope intercept form
Answer:
y = 5/3x - 7
Step-by-step explanation:
5x + 3y = -21
5x - 3y = -21
-3y = -5x - 21
-y = -5/3x + 7
y = 5/3x - 7
Kayden Kohl
8th Grade Student
Answer:
Step-by-step explanation:
Y=5/3x -7
Please help me with this homework
Answer:
c
Step-by-step explanation:
S=B+1/2Pl
-b from both sides
s-b=1/2Pl
x2 to both sides
2(S-B)=Pl
divide both sides by l
you get c
The New York Nicks had a streaky season. They began by winning 4 games in a row, and then they lost 12 games in a row. After those 12 losses, they won every game, finishing with 3 wins for every 2 losses overall. How many games did they win after the first 16 games?
Using proportions, it is found that they won 14 games after the first 16 games.
This question is solved by proportions, using a rule of three.For each 3 games they won, they lost 2.They lost 12 games, all on the losing streak, and won x games.Hence, the rule of three is:
2 losses - 3 wins
12 losses - x wins
Applying cross multiplication:
[tex]2x = 3(12)[/tex]
[tex]x = \frac{36}{2}[/tex]
[tex]x = 18[/tex]
18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.
A similar problem is given at https://brainly.com/question/24372153
I really need help with this one it's due today!!
Answer:
-2/3
3/2
Step-by-step explanation:
So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.
To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1
-2/3y = - 1
multiply both sides by 3/-2
y = 3/2
Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step
I think I need to know what the cat weighs first...
Find Algebraically, the coordinates of P.
Answer:
x =2.5 and y=5.5
Step-by-step explanation:
using elimination method
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The point of intersection is (2.4, 5.5).
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5 is an equation.
3x + 4y = 5 is an equation.
We have,
Two equations.
3x - y = 2 ____(1)
x + 3y = 19 _____(2)
The point of intersection can be calculated as,
From (1) we get,
3x = 2 + y
x = (2 + y) / 3 _____(3)
From (2) we get,
x = 19 - 3y ______(4)
From (3) and (4) we get,
(2 + y)/3 = 19 - 3y
2 + y = 57 - 9y
y + 9y = 57 - 2
10y = 55
y = 55/10
y = 5.5
Now,
From (3) we get,
x = 19 - 3y
x = 19 - 3 x 5.5
x = 19 - 16.6
x = 2.4
Thus,
The point of intersection is (2.4, 5.5).
Learn more about equations here:
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What are the slope and the y-intercept of the linear function that is represented by the graph?
Answer:
Slope = -3/4
Y-intercept = (0, 3)
Step-by-step explanation:
Rise/Run
-3 Rise and 4 Run
Meets y-axis at y=3. x=0, so (0, 3).
Answer:
y intercept is 3 and the slope is -3/4
Step-by-step explanation:
the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
What is the largest the actual height of the plant could be?
4 7/10
inches
Answer:
Step-by-step explanation:
Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.
It is obvious that the height will lie within the range
2.5/4<h<3.5/4
which corresponds to the range
5/8<h<7/8 OR 0.625<h<0.875
Thus,
a. The largest actual height could be 0.875 inches, while
b. The smallest actual height could be 0.625 inches
c. The percentage error is given by the formula:
[(approx.-exact)/exact]*100%
If we take the lowest value, for instance, as the exact, i.e. 0.625 inches,
then % error = [(0.75-0.625)/0.75]*100% = 16.7%
Obviously, the same value is expected if we take the upper limit of 0.875, i.e. % error = [(0.75-0.875)/0.75]*100% = -16.7%, only that the absolute value will be taken.
(x + 1)(x + 2)(x + 1)(3x + 2)
Answer:
Is it the full question I mean what does it want next anyway?
But here's your answer :
3x^4 + 14x^3 + 23x^2 + 16x + 4
simplify 1 by 4 plus 1 1 by 4 plus 1 2 by 5
[tex]5 \frac{2}{5} [/tex]
Hope it helps.
Do comment if you have any query.
Answer:
5 2/5
Step-by-step explanation:
whats the answer????
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).
so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?
I see for example (0, -6) and (4, -7).
to go from the first to the second point :
x changes by +4 units (from 0 to 4).
y changes by -1 unit (from -6 to -7).
the slope a is therefore -1/4.
and the first point i picked gives us also automatically the y-intercept (-6).
so, the line equation is
y = (-1/4)x - 6
