Answer:
hi there ☺️
Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 345
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 345
3X + 3 = 345
3X + 3 - 3 = 345 - 3
3X = 342
3X/3 = 342/3
X = 114
Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.
114 + 115 + 116 = 345
We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.
Step-by-step explanation:
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factorise ax + ay + 3bx + 3by
Factor like terms..
(ax + ay) + (3bx + 3by)
= a(x + y) + 3b(x + y)
Finally, group the common factors of x + y and collect the terms to get:
(x + y )(a + 3b)
The factors of the given expression are (x + y ) and (a + 3b).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given that expression as :
ax + ay + 3bx + 3by
We have to factorize the given expression.
⇒ ax + ay + 3bx + 3by
Factor like terms.
⇒ (ax + ay) + (3bx + 3by)
⇒ a(x + y) + 3b(x + y)
Take out the common factors of x + y and combine the terms to get:
⇒ (x + y )(a + 3b)
Therefore, the factors of the given expression are (x + y ) and (a + 3b).
Learn more about the Expressions here :
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Determine whether the equation below has a one solutions, no solutions, or
an infinite number of solutions. Afterwards, determine two values of x that
support your conclusion.
HELP PLEASE
Answer/Step-by-step explanation:
The equation, [tex] \frac{20}{x} = -5 [/tex] has one solution, x.
The value of x that will make the equation true, that is the number we can substitute for x into the equation that will make what we have on our left side equal to what we have on our right side is -4.
Substitute -4 for x in the equation and simplify:
[tex] \frac{20}{-4} = -5 [/tex].
Simplifying the equation:
[tex] -5 = -5 [/tex] (this is true).
A value of x that can make the equation false is 4.
Thus, replace x with 4, then simplify.
[tex] \frac{20}{x} = -5 [/tex]
[tex] \frac{20}{4} = -5 [/tex]
[tex] 5 = -5 [/tex] (false. 5 ≠ -5)
2/3 - 4x + 7/2 = -9x + 5/6 need help asap please!
Answer:
X= Negative 2/3 or -0.6
Step-by-step explanation:
here you go
WILL GIVE BRAINLIEST!!!!!!!!!!! PLS ANSWER ASAP!
Which diagram represents rx ◦ RO,180°?
A. First option
B. Second option
C. Last option
Answer:
the second option
Step-by-step explanation:
i got this question before
3. If you are paid $9.00 per hour (net of all payroll deductions), how much time is required
to earn enough to purchase a lunch that costs $5.70 at a local fast food restaurant? (in
minutes)
Answer:
38
Step-by-step explanation:
$9/hour = 15 cents per minute. $5.70/0.15 = 38 minutes.
Answer:
38 minutes
Step-by-step explanation:
Select all the points that are on the graph of the equation 4y-6x=12 a (-4, -3) b (3, -4) c (0, -2) d (0, 3) e (6, 4) f (-1, 1.5)
Answer:
a,b,d,f
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
3) Is the following a function?
(-4, 10) (10,-6) (8, 10) (2,-9) (0,7)
Answer:
Yes
Step-by-step explanation:
A function is when there is no two of the same domain.
The Domain is the first coordinate which is x.
Hope This Helps :)
Answer:
No
Step-by-step explanation:
No, this is not a function beacuse - 4 and 8 both have the same image 10 and a function is a relation in which every element has one image but this condition doesn't satisfy the definition. So, it is not a function.
foil (3x-5)(x+6) need the answer ASAP
Answer:
3x²+13x-30
Step-by-step explanation:
3x×x =3x²
3x×6= 18x
-5×x = -5x
-5×6=-30
Connect them together to form:
3x²+13x-30
(I got the 13x by doing 18x-5x)
4. Simplify
(x^-5x+1)-(-2x+3x-7)
Answer:
Ur answer should be 2.
Can someone please help me with this problem? In the picture down below. WILL MARK BRAINLIEST!!!
Answer:
only a
Step-by-step explanation:
Answer: The answer would be B
Step-by-step explanation:
If one leg of a right triangle is 6 cm long, and the other leg is 8 cm long, how long is the triangles hypotenuse?!!
Answer:
approximately 9
Step-by-step explanation:
6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9
Answer:
10cm
Step-by-step explanation:
a²+b²=c²
6²+8²=c²
36+64=c²
100=c²
10=c
11. Higher Order Thinking Using what you know
about angle pairs formed by parallel lines and a
transversal, how are 21, 22, 23, and 24 related
in the trapezoid? Explain.
3
Answer:
m∠1 + m∠3 = m∠2 + m∠4
Step-by-step explanation:
In the figure attached,
In the given trapezoid if two sides AB and CD are parallel and AD is a transverse,
m∠1 + m∠3 = 180°
Similarly, if AB and CD are parallel and BC is a transverse,
m∠2 + m∠4 = 180°
Therefore, m∠1 + m∠3 = m∠2 + m∠4 is the relation between these angles.
A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership? Round your answer to the nearest hundredths (second) decimal place.
Answer:
1452.9
Step-by-step explanation:
Simplify 12+5 (4x-6)
Rearrange the equation below to solve for y ax + 6y = 24
y = 4 - ax / 6
ax + 6y = 24
ax - ax + 6y = 24 -ax
6y / 6 = 24 / 6 - ax / 6
y = 4 - ax / 6
PLEASE HELP I HAVE 20 POINTS The mass of the Eiffel Tower is about 9.16 ⋅ 10^6 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)
Step-by-step explanation:
8.05 * 10^8 - 9.16 * 10^6
= 10^6 * (8.05 * 10^2 - 9.16)
= 10^6 * (805 - 9.16)
= 10^6 * (795.84)
= 10^8 * 7.9584
Therefore the answer in scientific notation is 7.9584 * 10^8.
Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms
x = -3y + 1
-3x - 3y = -15
Answer:
X = 3 x − 14
y = − x + 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
I hope this helps!
Given h(t) = t2+t+ 12 and k(t) = V1-1, evaluate (ko h)(10).
O 11
0 24
O 122
366
Answer:
A-11
Step-by-step explanation:
Correct on EDGE
The value of the function k(h(10)) will be 11. The correct option is A.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)
k{h(t)} = k{ t²+t+ 12}
Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12
k(h(t)) = √{(t²+t+ 12)-1}
k(h(t)) = √t²+t+12-1
k(h(t)) = √t²+t+11
Substituting t = 10 into the resulting function;
k(h(10)) = √(10)²+(10)+11
k(h(10)) = √100+10+11
k(h(10)) = √121
k(h(10))= 11
Therefore, the value of the function k(h(10)) will be 11. The correct option is A.
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Choose which property of equality is demonstrated moving from step a to step b. a. If b = 3, and m = 5, and y = mx + b then, b. y = 5x + 3
Answer:
add the = problome
Step-by-step explanation:
The property of equality is demonstrated moving from step a to step b is linear.
What is a linear equation?The linear equation is defined as the equation having a degree of one or the power of the variable will be one. The linear equation is represented by y = mx + c. Here y is the variable, m is the slope and, c is the intercept.
Given that b = 3, and m = 5, and y = mx + b then, b. y = 5x + 3. The equation can be formed as below:-
y = mx + c
y = 5x + 3
Therefore, the property of equality is demonstrated moving from step a to step b is linear.
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What is 10^5 as a decimal
Answer:
10^5=100000
Step-by-step explanation:
90.2844097979 to 3 decimal places
Answer:
90.284
Step-by-step explanation:
The 4th decimal place is 4 which rounds down (as it is less than 5) so it is 90.284
Hope this helped!
Answer:
The answer is 90.284
Step-by-step explanation:
The two numbers after the three decimal numbers (4,0) are not up to “5”. Meaning that they are just zero.
Change the repeating decimal to a fraction:
0.376376376...
Answer:
Answer is 3/4
Step-by-step explanation:
What is the answer to 4x+2=18
Answer:
x=4
Step-by-step explanation:
4x+2=18
-2 -2
4x=16
divide both sides by 4 to get 4
A total of 360 people were surveyed. Of the people surveyed, 70 said they were an early bird and preferred tea. The percentage of people surveyed who are night owls is ___%. The percentage of early birds who prefer to drink tea is ___%.
Answer:
A total of
360
people were surveyed. Of the people surveyed,
70
said they were an early bird and preferred tea. The percentage of people surveyed who are night owls is
60
%. The percentage of early birds who prefer to drink tea is
49
%.
Step-by-step explanation:
The last row and the last column give the total number of people surveyed, which is 360.
The joint frequency of the Early Bird column and the Tea row show that 70 people said they were an early bird and preferred tea.
To get the percentage of night owls, divide the total number of night owls by the total number of people surveyed and multiply by 100:
To get the percentage of early bird tea drinkers, divide the joint frequency of early birds and tea by the marginal total number of early birds and multiply by 100:
From total of 360 people surveyed, 70 people are early birds and preferred tea. Hence night owls is 60% and people who prefer to drink tea is 49%
What is a survey?A survey is a method of data collection and can be in the form of questionnaires and interviews. The survey tells us about the demands and needs of the people.
As per the question, the last row and column give us a total of 360. Those who are early birds and take tea are 70% of the population. To get the percentage we need to X night owls by the number of people surveyed multiplied by 100.
For the early bird tea, the total frequency of early birds by the marginal total number of early birds multiplied by 100.
Find out more information about the survey.
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A sequence of numbers consists of natural numbers that are
not perfect squares. What is the 1000th member of this
sequence?
Given :
A sequence of numbers consists of natural numbers that are
not perfect squares.
To Find :
The 1000th member of this sequence .
Solution :
Now , [tex]31^2=961[/tex] and [tex]32^2=1024[/tex] .
So , there are 31 numbers before 1000 which are perfect square .
Therefore , the [tex]999^{th}[/tex] is 1000+31 = 1031 .
Also , the first perfect square after 1000 is 32 .
So , we have to continue to 1031 + 1 = 1032 to compensate for the 32nd square.
Therefore , the 1000th member of this sequence is 1032 .
Hence , this is the required solution .
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50. A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50. Which value could replace x on the table? (4 – g) 1.5 (4 – g) + 1.5 4g – g(1.5) (4 – g)g'
Answer:
A
Step-by-step explanation:
Answer: A: (4-g) 1.5
Step-by-step explanation:
What is the area of the figure below?
6 in.
58 in2
63 in 2
8 in.
61 in 2
5 in.
4 in
53 in 2
8 in.
6 in.
A
Answer:
The answer is 58 In2
you can take apart some of the parts and multiply them, it may be easier
Answer:
I believe it is acutally 53inches
What is the value of sin(60°+0) - sin(60°+0)?
Answer:
0
Step-by-step explanation:
Let us take sin(60 degree + theta) =x
Substituting x in equation
=> x-x
=> 0
Step-by-step explanation:
Hey there!!
= Sin (60°+0) - sin (60°-0)
= sin 0° - sin0° { as sin0° = 0}.
= 0-0
=0.
Hope it helps...
Plea help me get the answer
1. Select all drawings in which a corresponding height h for a given base b is correctly identified
Answer:
A, B, D, F
Step-by-step explanation:
To determine which of the drawings are well labelled according to their corresponding height (h) for a given base, recall the following:
1. Base of a triangle could be any of the 3 sides of a triangke.
2. Height of a triangle is the perpendicular distance from the corner opposite the base to the base.
3. The height of a triangle could be indicated from outside the triangle.
Going by this 3 criteria, therefore, the following drawings can be said to be well labelled and correctly identifies by their corresponding height with respect to their bases:
A, B, D, F