Good evening ,
_______
Answer:
-8 ≤ 3(x-4) ≤ 10
____________________
Step-by-step explanation:
—Let’s solve it—
-8 ≤ 3(x-4) ≤ 10
⇔ -8 ≤ 3x-12 ≤ 10
⇔12-8 ≤ 3x ≤ 10+12
⇔4 ≤ 3x ≤ 22
⇔4/3 ≤ x ≤ 22/3.
:)
Use the properties of addition to simplify 2d + 2 - 7f+ 4d - f.
Answer:
6d - 8f + 2
Step-by-step explanation:
Which quadratic function only has one x-intercept?
A f ( x ) = x 2 − 12 x + 36
B f ( x ) = x 2 − 13 x + 36
C f ( x ) = x 2 + 13 x + 36
D f ( x ) = x 2 + 20 x + 36
Answer:
f(x) = x² - 12x + 36 = (x - 6)²
The correct answer is A.
The quadratic function that has only one \(x\)-intercept is A. [tex]\( f(x) = x^2 - 12x + 36 \)[/tex]
A quadratic function has only one [tex]\(x\)[/tex]-intercept if it touches the [tex]\(x\)[/tex]-axis at exactly one point, which happens when the discriminant [tex](\(\Delta\))[/tex] of the quadratic equation is zero. The discriminant of a quadratic function [tex]\(ax^2 + bx + c = 0\)[/tex] is given by:
[tex]\[ \Delta = b^2 - 4ac \][/tex]
Let's calculate the discriminant for each given function to determine which one has only one [tex]\(x\)[/tex]-intercept.
Option A: [tex]\( f(x) = x^2 - 12x + 36 \)[/tex]
[tex]\[ a = 1, \, b = -12, \, c = 36 \][/tex]
[tex]\[ \Delta = (-12)^2 - 4 \cdot 1 \cdot 36 \][/tex]
[tex]\[ \Delta = 144 - 144 \][/tex]
[tex]\[ \Delta = 0 \][/tex]
Option B: [tex]\( f(x) = x^2 - 13x + 36 \)[/tex]
[tex]\[ a = 1, \, b = -13, \, c = 36 \][/tex]
[tex]\[ \Delta = (-13)^2 - 4 \cdot 1 \cdot 36 \][/tex]
[tex]\[ \Delta = 169 - 144 \][/tex]
[tex]\[ \Delta = 25 \][/tex]
Option C: [tex]\( f(x) = x^2 + 13x + 36 \)[/tex]
[tex]\[ a = 1, \, b = 13, \, c = 36 \][/tex]
[tex]\[ \Delta = 13^2 - 4 \cdot 1 \cdot 36 \][/tex]
[tex]\[ \Delta = 169 - 144 \][/tex]
[tex]\[ \Delta = 25 \][/tex]
Option D: [tex]\( f(x) = x^2 + 20x + 36 \)[/tex]
[tex]\[ a = 1, \, b = 20, \, c = 36 \][/tex]
[tex]\[ \Delta = 20^2 - 4 \cdot 1 \cdot 36 \][/tex]
[tex]\[ \Delta = 400 - 144 \][/tex]
[tex]\[ \Delta = 256 \][/tex]
Only option A has a discriminant of 0, which means it has exactly one \(x\)-intercept.
Use multiplication and the Distributive Property to find the quotient. 96 divided by 6?
Answer:
6/96 is 16
Step-by-step explanation:
so the answer is 16
Answer:
16
Step-by-step explanation:
Given are two numbers 96 and 6.
We have to divide the first number by the second number using multiplication and distributive property.
Let us write
[tex]96 =60+36\\96 =6(10+6)\\[/tex]
Thus we find using multiplicative and distributive property
6 when multiplied by 16 gives 96
So quotient is 16.
How to solve -17-3(2x+13)+24
Answer:
Step-by-step explanation:
-17 - 3(2x + 13) +24
-17 - 6x - 39 +24
-17 - 6x - 15
-6x - 32
Attached image please help
3.3 x 10^(5) + 44,000 = 144,003.3
The decimal number written in scientific notation is 1.44 x 10^(5).
Answer:
3.74 × [tex]10^{5}[/tex]
Step-by-step explanation:
Given
3.3 × [tex]10^{5}[/tex] + 44000
= 3.3 × [tex]10^{5}[/tex] + 4.4 × [tex]10^{4}[/tex] ← factor out [tex]10^{4}[/tex]
= [tex]10^{4}[/tex]( 3.3 × [tex]10^{1}[/tex] + 4.4)
= [tex]10^{4}[/tex](33 +4.4)
= [tex]10^{4}[/tex] × 37.4
= [tex]10^{4}[/tex] × 3.74 × [tex]10^{1}[/tex]
= 3.74 × [tex]10^{(4+1)}[/tex]
= 3.74 × [tex]10^{5}[/tex]
13.48x - 200 < 256.12
Answer:
x<38.836
Step-by-step explanation:
13.48x - 200<256.12
÷4=>3.37x-50<64.03
3.37x<114.03
x<114.03/3.37
x<38.836
Answer:
what??
Step-by-step explanation:
What is 5.8×10^6 seconds in minutes?
3.48×10^4 minutes
9.67×108 minutes
9.67×104 minutes
3.48×108 minutes
PLZ HELP
i will give brainlyest
Answer:
9.67 x 10^4
Step-by-step explanation:
5.8 x 10^6 / 60
= 96700 minutes
= 9.67 x 10^4 minutes
Answer:
9.67 x 10^4
Step-by-step explanation:
Help find b in this triangle
Answer:
b = 136°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
b is the exterior angle of the triangle, thus
b = 68° + 68° = 136°
A plumbing company charges $50 for the first hour of a service call and $30 per hour for each hour or part of an hour that a job requires after the first hour. If the Smiths’ bill included $65 for supplies and the plumber worked 2 hours and 35 minutes, how much was their bill?
Answer:
$175?
Step-by-step explanation:
You know that the first hour is $50, and the second hour and the 35 minutes are $30 each, making it $60.
Add $60+$50= $110. Then add the parts cost, which is 65, and get $175
17x=13x solve for x
I’m not sure but I got this with the same side interior angles theorem. I have to find the measure of angle EFG
Sally was 200 apples she Eliot’s all of them up in 39 how many apple slices would she have now
Answer:
I don't know the question but I think you mean something that has to do with multiplication
Step-by-step explanation:
If you have 200 apples and you cut them up into 39 slices each there is now 39 slices for each of those. You now have 200 x 39 slices. So, to simplify it you have 7800 apple slices
Topic: Multiplication
5 + 3 x 2 - 6 value: 10 what is the answer
Answer:
10
Step-by-step explanation:
5+3=8
8×2=16
16-6=10
The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represented by the shaded region?
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is
[tex]A=b^{2}[/tex]
where b is the length side of the square
we have
[tex]A=49\ units^2[/tex]
substitute
[tex]49=b^{2}[/tex]
[tex]b=7\ units[/tex]
therefore
[tex]AB=BE=ED=AD=7\ units[/tex]
step 2
Find the area of ACIG
The area of rectangle ACIG is equal to
[tex]A=(AC)(AG)[/tex]
substitute the given values
[tex]A=(9)(10)=90\ units^2[/tex]
step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to
[tex]A=(DE)(DG)[/tex]
we have [tex]DE=7\ units[/tex]
[tex]DG=AG-AD=9-7=2\ units[/tex]
substitute[tex]A=(7)(2)=14\ units^2[/tex]
step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to
[tex]A=(EF)(CF)[/tex]
we have
[tex]EF=AC-AB=10-7=3\ units[/tex]
[tex]CF=BE=7\ units[/tex]
substitute
[tex]A=(3)(7)=21\ units^2[/tex]
step 5
sum the shaded areas
[tex]14+21=35\ units^2[/tex]
step 6
Divide the area of of the shaded region by the area of ACIG
[tex]\frac{35}{90}[/tex]
Simplify
Divide by 5 both numerator and denominator
[tex]\frac{7}{18}[/tex]
therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
Answer:
7/18
Step-by-step explanation:
A large multiplex movie house has many theaters. The largest theater has 44 rows. There are 20 seats in the first row. Each row has four seats more than the previous row. How many total seats are there in this theater?
The total number of seats in this movie theater is 4224. This is calculated using the sum of an arithmetic series formula.
Explanation:The question describes an arithmetic sequence where each row in the theater has four more seats than the previous row. The first row has 20 seats and the last row (44th row) has[tex]20 + 4*(44-1) = 172[/tex] seats. The total number of seats in this theater is therefore the sum of an arithmetic series formula, which is given by:
[tex]S = n/2 * (a + l)[/tex]
Where:
S is the sum of the sequence n is the number of terms a is the first term l is the last term
So for the number of seats, we have:
[tex]S = 44/2 * (20 + 172) = 22 * 192 = 4224.[/tex]
So, the total number of seats in the theater is 4224.
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0.1 x 23
Please help me
Answer:
the answer would be 2.3
Answer:
2.3
Step-by-step explanation:
when you are multiplying by a decimal, you move the decimal point in 23 (Yes, there is a decimal point in 23, since it is technically 23.000000000 and some more zeros) one space to the left. The answer is 2.3!
CHECK YOUR UNDERSTANDING
Kyle invests $20,000 in a partnership that has five other partners.
The total investment of the partners is $160,000. What percent of the
business is owned by the five other partners?
The percentage of the business that is owned by the five other partners is 87.5%.
Amount invested by Kyle = $20000
Total investment of the partners = $160000
The percentage of the business that is owned by the five other partners will be:
= ($160000 - $20000) / $160000 × 100
= $140000/$160000 × 100
= 87.5%
Therefore, the other partners have 87.5% of the investment.
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What is 10 × 7 thousands in unit form
Answer:
ten thousands/thousands/hundreds/tens/ones
7 / 0 / 0 / 0 / 0
Explanation:
10 x 7,000 = 70, 000
Answer:
70000
Step-by-step explanation:
According to the Zero-Product Rule, multiply 7 by 1000 to get 7000, then attach that extra 0 to the answer, giving you 70000.
I am joyous to assist you anytime.
An aircraft flies against the wind for a distance of 300 miles in 2 hours then the aircraft makes the return trip with the wind in 1 hour what was the aircraft average speed for the entire trip
The aircraft's average speed for the entire trip, both against and with the wind, is 200 miles per hour. This is calculated by dividing the total distance travelled (600 miles) by the total time taken (3 hours).
Explanation:To solve this problem, we'll use the formula for average speed: Total Distance/Total Time. In this case, the aircraft flies 300 miles against the wind and 300 miles with the wind, so the total distance is 600 miles (300+300).
The total time is the time it takes to fly against the wind plus the time it takes to fly with the wind, which is 3 hours (2+1).
So, the average speed for the entire trip is 600 miles/3 hours = 200 miles per hour.
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What is the area of the base of this right circular cone in terms of π?
Answer:
25π
Step-by-step explanation:
A = πr²
B
π[5]² = 25π
I am joyous to assist you anytime.
Step-by-step explanation: To find the area of the circle shown here, start with the formula for the area of a circle which is as followed.
Area = [tex]\pi r^{2}[/tex]
A rectangle has a length of 43 5/7 feet and a width of 42 1/10 feet. What is the perimeter (distance around the edges) of the rectangle in feet? Express your answer in mixed number form, and reduce if possible.
Answer:
1839.77
Step-by-step explanation:
A model for my number has
6 ones blocks, 2 hundreds blocks, and 3 tens
blocks. What number am I
Answer:
A model for my number has 6 ones blocks, 2 hundreds blocks, and 3 tens blocks. The model number is 236.
Solution:
Given that the model has 6 ones blocks, 2 hundreds blocks, and 3 tens blocks. The model number can be found out by,
[tex]\bold{\begin{array}{l}{=\text { (number of hundreds block } \times 100)+(\text { number of tens block } \times 10)+} \\ {\text { (number of ones block } \times 1)}\end{array}}[/tex]
Given that number of one blocks = 6 blocks. Hence we get [tex]6 \times 1=6[/tex]
Number of ten blocks = 3.Hence we get [tex]3 \times 10 = 30[/tex]
Number of hundred blocks = 2 .Hence we get [tex]2 \times 100=200[/tex]
So the model number = 6 + 30 + 200
=236
Hence the model number is 236.
C. You filled your car tank with gas at the beginning of the trip. At the start of
the trip, your odometer read 25,678 miles. At the end of your trip, your
odometer read 26,109 miles. When you filled your tank at the end of the trip,
it took 15 gallons of gas. How many miles per gallon did the car get?
Answer:
164
Step-by-step explanation:
To find the car's miles per gallon, divide the total miles traveled by the total gallons of gas used. In this case, the car got approximately 28.73 miles per gallon.
Explanation:To find the miles per gallon the car got, you need to divide the total miles traveled by the total gallons of gas used. In this case, the car traveled 26,109 - 25,678 = 431 miles and used 15 gallons of gas. Using the formula MPG = Miles / Gallons, we get MPG = 431 / 15 = 28.73 miles per gallon. Therefore, the car got approximately 28.73 miles per gallon.
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what is the volume of the sphere shown below with a radius of 3
Answer:
The answer to your question is: letter A
Step-by-step explanation:
Data
radius = 3
Formula
V = (4/3)πr³
V = (4/3) π (3)³ = Substitution
V = (4/3) π (27) Simplify
V = 108π / 3
V = 36 π u³
A. The volume of the sphere is 36[tex]\pi[/tex] cubic units.
What is formula of volume of sphere ?Let, r be the radius of the sphere.
Then the volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] cubic units
What is the required volume ?Given radius of sphere (r) = 3 units
So, the volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] cubic units
= [tex]\frac{4}{3}\pi *3^{3}[/tex] cubic units
= [tex]\frac{4}{3}*27\pi[/tex] cubic units
= [tex]36\pi[/tex] cubic units
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Jackson wants to divide a pound box of
trail mix into small bags. Each of the bags
will hold pound of trail mix. How many
bags of trail mix can Jackson fill?
Jackson can fill 2 bags of trail mix, with each bag holding ½ pound of trail mix.
To calculate how many bags of trail mix Jackson can fill:
First, determine how many bags can be filled with 1 pound of trail mix:
1 pound bag ÷ ½ pound per bag = 2 bags
Next, divide the pound box into bags: 1 pound box ÷ ½ pound per bag = 2 bags
Therefore, Jackson can fill 2 bags of trail mix.
Subtract 2 1/6- 1 7/8
Answer:
The answer is 7/24
Step-by-step explanation:
Rewriting our equation with parts separated
=2+16−1−78
Solving the whole number parts
2−1=1
Solving the fraction parts
16−78=?
Find the LCD of 1/6 and 7/8 and rewrite to solve with the equivalent fractions.
LCD = 24
424−2124=−1724
Combining the whole and fraction parts
1−1724=724
Solution by Formulas
converting mixed numbers to fractions, our initial equation becomes,
136−158
Applying the fractions formula for subtraction,
=(13×8)−(15×6)6×8
=104−9048
=1448
Simplifying 14/48, the answer is
=724
Hope I helped :)
Order from least to greatest.
34%, 4/15, 0.3
Today we are ordering. To do this, I recommend you to convert to either decimal or fraction. Let's go with fractions, cause why not.
To order, make 0.3 into 3/10 because 3 is 3 of 10. We make 34% as 17/50 since 1% equals 1/100.
Reorder:
17/50, 4/15, 3/10. All fractions here can be x/750.
Reorder:
225/750, 200/750, 225/750.
As you see, there are two 225s. It's okay of however you write it as. We also have to remember that the question has to be using 34%, 4/15, and 0.3.
Answer: 4/15, 17/50, 0.3 is the answer.
It takes 2 and a 1/2 poster boards to display half of your project. How many poster boards will you need for your entire project?
Answer:
5 poster boards
Step-by-step explanation:
Rachel needs to save $1.015 to buy a new scooter. If she saves $35 each
month, how many months will it take her to save enough money to buy the
scooter?
F. 29
6.31
H. 27
J. 33
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
[tex]35M = 1015[/tex]
where [tex]M[/tex] is the number of months that Rachel has saved up money.
Dividing both sides by 35, we get the answer:
[tex]M = 29[/tex]
12080 gallons per month into liters per hour. please write out the correct conversions too to figure it out. thanks (:
Answer: 16.54 liters an hour
Step-by-step explanation:
A month into hours is 730.001 hours
12080 / 730.001 = 16.54 liters an hour.
Convert 65,000,000 to scientific notation.
Answer:
6.5 x 10^7. PLEASE MARK BRAINLIEST IF THIS HELPS.
Step-by-step explanation:
Well, its kind of hard to explain but i'll do my best.
65,000,000 has six zeros, and in order to get the answer, you have to put the answer into a decimal. So all you have to do is put the decimal right here. 65000000.< Hope that makes sense. Then all you have to do is move that decimal to the left however many times is needed to make the answer a decimal (in this case it is 7 times). Which makes the answer 6.5 but your not done yet, then, since you had to move to the left seven times in order to get your decimal, that means the second part of your answer is 10^7, (10 to the seventh power) since you moved seven times. Example: if you had had to move to the left 9 times to get your decimal, then it would have been 10^9, if that makes any sense. So that means your final product would be 6.5 x 10^7
Answer: 6.5 x [tex]10^{7}[/tex]
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.
In this case, we can write 65,000,000 as 6.5000000 and notice that there is only one digit to the left of the decimal point.
Next, we count the number the number of places the decimal point would need to move in order to get back to our original number which is 65,000,000. In this case, we would need to move the decimal point 7 places to the right in order to get back to our original number. Since we would need to move the decimal point 7 places to the right to get back to our original number, this would mean that we have an exponent of 7.
Therefore, 65,000,000 can be written in scientific notation as 6.5 x [tex]10^{7}[/tex]