Answer:
x = 2Step-by-step explanation:
[tex]3(x+2)=4(x+1)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(3)(x)+(3)(2)=(4)(x)+(4)(1)\\\\3x+6=4x+4\qquad\text{subtract 6 from both sides}\\\\3x+6-6=4x+4-6\\\\3x=4x-2\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\3x-4x=4x-4x-2\\\\-x=-2\qquad\text{change the signs}\\\\x=2[/tex]
Answer:
x=2
Step-by-step explanation:
The vertex angle of an isoceles triangle measures (a+15) ° and one of the base angles measures 7a °. Find a and each angle measure.
Keep in mind that:
the sum of the interior angles of every triangle in existence is 180 degreesthe base angles of isosceles triangles are congruentWith this information, I have created a diagram. I encourage you to always draw a diagram when you can - it aids in the solving process.
Now, to find a, set the measures of the interior angles equal to 180.
(a + 15) + 7a + 7a = 180
Solve for a.
a + 15 + 7a + 7a = 180
15 + 15a = 180
15a = 165
a = 11
Find the angle measures by plugging 11 for a.
a + 15
(11) + 15
26
7a
7(11)
77
Check your work by adding the angles measures.
77 + 77 + 26 = 180
Answer:a = 11
Each base angle measures 77 degrees and the vertex angle measures 26 degrees.
Final answer:
To find the unknown angles in the isosceles triangle, we set up an equation using the fact that the sum of angles in a triangle is 180°, which gives a value of 11° for 'a.' Consequently, the vertex angle is 26°, and each base angle is 77°.
Explanation:
The question involves finding the unknown angle measures in an isosceles triangle when given the vertex angle and one of the base angles as algebraic expressions. Since we are dealing with an isosceles triangle, two base angles are equal, and the sum of all angles in a triangle is 180°. The vertex angle is given as (a+15)° and one of the base angles as 7a°. According to the properties of an isosceles triangle, the other base angle is also 7a°. Therefore, we can set up the equation:
(a+15)° + 7a° + 7a° = 180°
Combining like terms, we get:
15° + 15a° = 180°
Subtracting 15° from both sides:
15a° = 165°
Dividing by 15:
a = 11°
Now we can find each angle:
Vertex angle = a + 15° = 11° + 15° = 26°
Each base angle = 7a° = 7(11°) = 77°
The measures of the angles are therefore 26° (vertex angle) and 77° (each base angle).
what is the scientific notation of 0.00093
Answer:
9.3 x 10 to the 4th power
Step-by-step explanation:
Put the decimal between the 9 and 3 to get 9.3.
Then ask yourself how far the decimal is from 0.
Put that number as a power of 10.
So, you get 9.3 x 10 to the 4th power
The required scientific notation of 0.00093 is [tex]9.3 \times 10^{-4}[/tex].
The scientific notation of a number is expressed in the form of "[tex]a\times 10^b[/tex]", where "a" is a decimal number greater than or equal to 1 but less than 10, and "b" is an integer representing the exponent.
To convert 0.00093 to scientific notation, we count the number of decimal places we need to move to the right until we have a single non-zero digit in front. In this case, we need to move four decimal places:
[tex]0.00093 = 9.3 \times 10^{-4}[/tex]
So, the scientific notation of 0.00093 is [tex]9.3 \times 10^{-4}[/tex].
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Jamar is playing a video game. The object of the game is to roll a marble into a target. In the figure, the
shaded rectangular area represents the video screen and the black rectangle is a barrier. Because of the
barrier, it is not possible to roll the marble M directly into the target T. At what point should Jamar aim
the marble so that it will bounce off a wall and roll into the target?
Answer:
Jamar should hit the wall opposite to the side of the barrier(if there is a space), which will cause the ball to bounce off the wall at an angle and into Target.
Aiming for the coordinate (0, 2.5) along the plane AB would ensure that the ball hits the plane AB and travels diagonally to the point T which is the target.
To ensure that the marble escapes the barrier, the ball should be aimed at a point along the AB plane. This point should be about the midpoint of the width of the side of the barrier. Once the marble travels diagonally to hit the plane AB, it travels diagonally upward, hence escaping the barrier and hitting the target T. The coordinate point to be aimed at on the plane AB which is also equal to the midpoint of the barrier's width is : (0, 2.5)Learn more :https://brainly.com/question/15748955
A used automobile dealership recently reduced the price of a used car by 8%. If the price of the car before discount was $18,300, find the discount and the new price.
The discount price is $__?
Answer:
Discount = $1,464 New Price =$16,836
Step-by-step explanation:
The initial price is given as $18,300.
The price is reduced by a discount of 8%.
Discount = 8% of 18300
= 8/100 =0.08 x 18300 =$1,464.
New price = $18,300 -$1,464
= $ 16,836
This can also be worked out as follows:
After the discount of 8%, the new price is 92% of the initial price.
92% = .92 x $18300 = $16,836
Answer:
Discount = $1,464 New Price =$16,836
will 3*f(2)= f(3*2)? for any function f(x)? Explain.
Answer: No
Step-by-step explanation:
Let f(x) = x² + 1
then 3*f(2) = 3[(2)² + 1]
= 3[4 + 1]
= 3[5]
= 15
f(3*2) = f(6) = (6)² + 1
= 36 + 1
= 37
3*f(2) ≠ f(3*2)
If heat is released from water, what phase change occurs? A) gas to solid B) solid to gas C) liquid to solid D) solid to liquid
Answer:
ANSWER: D: GAS TO LIQUID
Step-by-step explanation:
A ________ is a letter that takes place of a number
Answer:
Variable
Step-by-step explanation:
A variable is a letter that takes the place of a number.
Answer:
Variable
Step-by-step explanation:
A variable is a letter that represents a number. It can also be solved for. As in 2x+3=100. You would have to solve for the x.
A rectangular family room is 18 feet long and 14 feet wide.
Mr. Herzog has pieces of chair rail that are each 16 feet long
that he wants to install around the perimeter of the room. How
many pieces of chair rail will Mr. Herzog need?
Answer:
4 pieces of chair rail are needed
Step-by-step explanation:
Step 1: Calculate the perimeter of the room
Perimeter of rectangle = 2L + 2B
Length = 18
Breadth = 14
Perimeter of room = 2(18) + 2(14)
Perimeter of room = 64 feet
Step 2: Calculate the pieces of chair rail needed
Perimeter of room = 64 feet
Length of each chair rail = 16 feet
Total chair rails needed = Perimeter of room/length of each chair rail
Total chair rails needed = 64/16
Total chair rails needed = 4
Therefore, Mr. Herzog needs 4 pieces of chair rails.
it takes the earth 365 days to complete a full orbit around the sun takes Jupiter approximately 4332 days 14 hours and 9 minutes to complete a full orbit round the Sun how many years does it take Jupiter to complete a full orbit around the sun show your work use conversation factor HELP
Answer:
It takes Jupiter 11.87 years to complete a full orbit around the sun
Step-by-step explanation:
* Lets explain how to solve the problem
- It takes the earth 365 days to complete a full orbit around the sun
- It takes Jupiter approximately 4332 days 14 hours and 9 minutes to
complete a full orbit round the Sun
- We need to know how many years it takes Jupiter to complete a
full orbit around the sun
* Lets put the time of Jupiter by days only by change the minutes and
the hours to days
∵ 1 day = 24 hours
∵ 1 hour = 60 minutes
∴ 9 minutes = 9 ÷ 60 = 0.15 hours
∵ There are 14 hours
∴ 14 + 0.15 = 14.15 hours
∵ 1 day = 24 hours
∴ 14.15 hours = 14.15 ÷ 24 = 283/480 days
∵ There are 4332 days
∴ 4332 + 283/480 = 4332.59 days
∴ takes Jupiter approximately 4332.59 days to complete a full
orbit round the Sun
- To find how many years divided the number above by the number
of days in one year
∵ There are 365 days in a year
∴ The number of years = 4332.59 ÷ 365 = 11.87 years
* It takes Jupiter 11.87 years to complete a full orbit around the sun
solve the literal equation for c 4p+9c=p
4p+9c=p
move 4p to the other side
sign changes from +4p to -4p
4p-4p+9c=p-4p
9c= p-4p
9c= -3p
divide both sides by 9 to get c by itself
9c/9= -3p/9
c= -3p/9
reduce by dividing by 3
-3p/3= -p
9/3= 3
Answer:
c= -p/3
Answer:
c = -p/3.
Step-by-step explanation:
4p+9c=p
9c = p - 4p
9c = -3p
c = -3p/9
c = -p/3.
Lori borrowed $3000 from her bank for 6 months. It was a fixed installment loan at 7.5%. How much were her 6 monthly payments?
Answer:
Her 6 monthly payments totaled in $225, $37.5 payed per month.
Step-by-step explanation:
7.5% of $3000 is
[tex]3000 \times 0.075 = 225[/tex]
If Lori needs to pay back $225 over a period of 6 months, with monthly payments, that means Lori is paying her bank
[tex]225 \div 6 = 37.5[/tex]
$37.5 per month.
Answer:
The monthly payment of Lori per month is $37.5
Solution:
Given that Lori borrowed $3000 from bank for 6 months at fixed installment loan of 7.5 %
So the amount borrowed by Lori is given as,
= 7.5% of 3000
[tex]= \frac{7.5}{100} \times 3000[/tex]
[tex]= 7.5 \times 30[/tex]
= 225
So the total payments for 6 months is 225. Lori’s monthly payment can be found out by dividing the total payment by 6 months.
Monthly payment of Lori = [tex]\frac{225}{6}[/tex] = 37.5
So Lori has to pay $37.5 per month over a period of 6 months.
Hence the 6 monthly payment of Lori is $37.5
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
The probability that the spinner landing on a number that is a multiple of 5 or 2 is 0.6, calculated by dividing the number of favorable outcomes (9) by total outcomes (15).
Explanation:To find the probability that the spinner lands on either a multiple of 5 or a multiple of 2, we first need to identify these numbers.
The multiples of 5 between 1 and 15 are 5, 10, and 15. The multiples of 2 between 1 and 15 are 2, 4, 6, 8, 10, 12, and 14.
Note that 10 is both a multiple of 2 and 5. When we combine these sets, we have 9 unique numbers out of total 15. This gives us a total of 9 favorable outcomes.
The probability is the ratio of favorable outcomes to the total number of outcomes. So, the required probability would be 9/15 or 0.6 when simplified.
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The probability that the spinner lands on a multiple of 5 or a multiple of 2 is 9 out of 15, or 0.6 (60%).
Explanation:The subject of this question is probability, which falls under Mathematics. To determine the probability that a spinner numbered from 1 to 15 would land on a multiple of 5 or a multiple of 2, we need to first identify the amount of numbers that meet these criteria. The multiples of 5 between 1 and 15 are 5, 10, and 15, which totals to 3 numbers. The multiples of 2 between 1 and 15 are 2, 4, 6, 8, 10, 12, and 14, which totals to 7 numbers.
However, the number 10 is a common multiple of both 5 and 2; to avoid counting it twice, we subtract 1 from our total. Therefore, there are 3 + 7 - 1 = 9 favorable outcomes. With 15 equally likely possibilities on the spinner, the probability is then 9/15 or 0.6, meaning there's a 60% chance the spinner lands on a multiple of 5 or a multiple of 2.
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Multiplying polynomiala by binomials
(a + b)(a + b) =
Answer:
= (a^2 + ab + ab + b^2)
Step-by-step explanation:
Distribute the first a to the second a and b
Distribute the first b to the second a and b
Mr. Wong has between 300 and 1,000 small prizes to divide evenly among his
tudents over the course of the school year. He will give away as many prize
ossible. Estimate the number of small prizes each of Mr. Wong's 9 students
ceive if he had exactly 893 prizes to give away
To estimate the number of small prizes each of Mr. Wong's 9 students will receive if he had exactly 893 prizes to give away, divide the total number of prizes by the number of students: 893 / 9 ≈ 99.
Mr. Wong has 893 small prizes to divide among 9 students. To estimate the number of prizes each student will receive, we divide the total number of prizes by the number of students:
Number of prizes each student will receive = Total number of prizes / Number of students
Number of prizes each student will receive = 893 / 9 ≈ 99
area of a triangle with a 19 inch base and 14 inch height
Step-by-step explanation:
base = 19 inch
height = 14 inch
[tex]area \: of \: triangle \: = \frac{1}{2} \: ( base)(height) \\ \\ area \: of \: triangle \: = \frac{1}{2} (19)(14)[/tex]
area of triangle = 133 inch² !!
2407 - -8 how do you do this type of problem
Answer: 2415
Step-by-step explanation:
2407 - -8
2407- -8 is the same as 2407 take away -8.
When you take away negative numbers, the answer becomes more positive
Hence 2407- -8 is the same as make 2407 more positive by 8
That means 2407- -8 is the same as 2407+8
2407+8=2415
find the least common denominator of the fractions 2/8 and 3/5
Answer:
40
Step-by-step explanation:
2/8 = 10/40
3/5 = 24/40
Final answer:
The least common denominator (LCD) of the fractions 2/8 and 3/5 is found by prime factorizing each denominator and then multiplying each fraction by the missing factors from the other denominator to get a common denominator, which in this case is 40.
Explanation:
To find the least common denominator (LCD) of the fractions 2/8 and 3/5, you would follow certain steps. First, since the denominators are not the same, you need to prime factorize each denominator. For 8, the prime factorization is 2 x 2 x 2, and for 5, it is simply 5 because it is already a prime number. To find the LCD, multiply each fraction by a fraction that is equal to "1", consisting of the missing factors from each denominator. In this case, we will multiply 2/8 by 5/5 and 3/5 by 8/8 to make the denominators the same.
The next step is to multiply the numerators and denominators accordingly. This gives us new fractions: 10/40 (from 2/8) and 24/40 (from 3/5), with a common denominator of 40. Hence, 40 is the LCD of 2/8 and 3/5.
If you were adding or subtracting these fractions, you would then be able to combine the numerators over the LCD. However, for this problem, we are only finding the LCD, so our work is complete.
9tens 10 ones equals how much hundred
What type of number is -560,114? 1. Whole number 2. Integer 3. Rational 4.Irrational
Answer:
2 and 3
Step-by-step explanation:
2 because integers are counting numbers (1,2,3,...) zero, and their opposites ( 1 and -1). 3 because a rational number is any number can be written is the form a/b where a and b are integers but b is not 0 ( i can explain this further) or is a decimal that either ends or has a repeated pattern
11x=8x-6 please help me with this I don’t understand the reps or how to simplify the equation
Answer:
when simplified this gives you:
x = -2
Hope this helps.
What is the slope of the function?
-6
-4
4
6
Answer:
i think its -4
aka B
Step-by-step explanation:
Answer:
(B) -4
Step-by-step explanation:
How many driveways can you and your friend shovel if you work together for 5 hours each day for 2 days
Answer:
13 driveways with a quarter of an hour to spare
Step-by-step explanation:
To calculate the number of driveways you and your friend can shovel, we need the rate at which you can shovel one driveway. Multiplying this rate by the total hours worked will give the number of driveways shoveled.
To determine how many driveways you and your friend can shovel in the given time, we need more specific data about how long it takes for you to shovel one driveway. However, I will provide a general formula based on an assumption:
Let's assume you can shovel X driveways in 1 hour. Therefore, in 5 hours (a day), you can shovel 5X driveways. Over 2 days, this would be 10X driveways. Hence, if you work together for 5 hours each day for 2 days, together you can shovel 10X driveways, where X is the number of driveways you can shovel per hour.
any answers help please! show your work
1. -√8, -2.1, 3/2, 12/6, 4
sorry man I'm tired but here's ya first set of answers
Complete an algebraic expression for the verbal expression.
two thirds the square of a number
Answer:
The algebraic expresion is, (2/3)X^2
Step-by-step explanation:
The two thirds are 2/3
When you square a number, you do x.x, or X^2
Which statements are correct? Check all that apply.
Arc GF is a major arc.
One major arc is GHE
Arc FE is a minor arc.
The measure of FE IS 41°
The measure of GCF is equal to the measure of
GDE
Arc GHE is a semicircle.
Answer:
The correct ones are:
B. One major arc is GHE
C. Arc FE is a minor arc.
D. The measure of FE IS 41°
Answer: B,C,D
Step-by-step explanation: just did it
what is this answer?
Answer:
3n^2 AKA C would be the answer.
Step-by-step explanation:
Reason: any number 1-9 is a mononomial number. Coefficient of three just means to add a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
-4(2x+5)=5(-2x-3) lhs= rhs=
answer pls
Which is further from +1: -7 or +3? Explain how you know
Answer:
-7 most definitely.
Step-by-step explanation:
Ok for this you will use absolute value. Absolute value of -7 is 7, and absolute value of 3 is 3. After taking the absolute value, compare the distance by subtracting every value by 1. Whichever value has the largest leftover will be further. This can also be done on number line by plotting it evenly and checking which distance is farther apart.
Answer:
-7
Step-by-step explanation:
If you were to draw a number line and you drew where 1 was, and where 3 and -7 where, which one would have the larger distance? It would be -7.
sum of 2/3 + (-1/3) i cant find the answer
Answer:
1/3
Step-by-step explanation:
2/3 plus -1/3 is the same as subtracting 1/3 from 2/3.
Answer:
1/3
Step-by-step explanation:
2/3 + (-1/3) is the same as 2/3-1/3 which is 1/3
What is 299,864 times 5?
Answer:
1,498,420
Step-by-step explanation: