Answer:
Step-by-step explanation:
Steps:
1. Let x = #
2. "Five less than six times a number" can be written as: 6x - 5
3. "is at least" is the same as "greater than or equal to" and can be written as: >=
4. "nine subtracted from two times that number" can be written as: 2x - 9
5. the equation is: 6x - 5 >= 2x - 9
6. solve for x by grouping the x variable terms on one side and the constants on the other side:
6x - 5 >= 2x - 9
-2x +5 -2X +5
4x >= -4
7. divide each side by 4, and you get: x = -1
The solution according to the given statement is "x = -1".
According to the question,
The equation will be:
[tex]6x - 5 \geq 2x - 9[/tex]By adding "5" both sides, we get
→ [tex]6x - 5+5 \geq 2x - 9+5[/tex]
→ [tex]6x \geq 2x-4[/tex]
By subtracting "2x" form both sides, we get
→ [tex]6x-2x \geq 2x-4-2x[/tex]
→ [tex]4x \geq -4[/tex]
→ [tex]x \geq -\frac{4}{4}[/tex]
→ [tex]x = -1[/tex]
Thus the above answer is appropriate.
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solve for (-4+6i)-3-(2i)
(-4+6i )- 3-(2i)
-4 - 3 + 6i - 2i
-7 + 4i
Done.
Identify the multiplication property used in the equation 7x2=2x7
The multiplication property used in the equation 7x2=2x7 is the Commutative Property of Multiplication, stating that the order of numbers doesn't affect the product.
Explanation:The multiplication property used in the equation 7x2=2x7 is known as the Commutative Property of Multiplication. This property states that the order in which you multiply numbers does not change the product. For example, in your equation 7x2=2x7, the position of the numbers 7 and 2 have been switched, but the product remains the same (14).
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jody has 3 red marbles 7 blue marbles and 8 yellow marbles what is the ratio red to blue marbles
Answer:
3/7
Step-by-step explanation:
The ratio is the number of red marbles and the number of blue marbles in a fraction, so the ratio would be 3/7
Line 1 : y = 2/3x +3
Line 2 : y = 2/3x - 8
Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home. How many hours has Carlos practiced piano? How much longer does he need to practice before going to bed in order to meet his goal?
Answer:
Carlos has practiced piano for [tex]\frac{29}{20}=1\frac{9}{20}[/tex] hours.
Carlos needs to practice [tex]\frac{11}{20}[/tex] hours.
Step-by-step explanation:
We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
First of all, we will find piano practiced before school and after school by adding both amounts as:
[tex]\frac{3}{4}+\frac{7}{10}[/tex]
Make a common denominator:
[tex]\frac{3*5}{4*5}+\frac{7*2}{10*2}[/tex]
[tex]\frac{15}{20}+\frac{14}{20}[/tex]
Add numerators:
[tex]\frac{15+14}{20}[/tex]
[tex]\frac{29}{20}[/tex]
Therefore, Carlos has practiced piano for [tex]\frac{29}{20}[/tex] hours.
Now, we will subtract [tex]\frac{29}{20}[/tex] from 2 find number of hours Carlos needs to practice to reach his goal.
[tex]2-\frac{29}{20}[/tex]
[tex]\frac{2*20}{20}-\frac{29}{20}[/tex]
[tex]\frac{40}{20}-\frac{29}{20}[/tex]
[tex]\frac{40-29}{20}[/tex]
[tex]\frac{11}{20}[/tex]
Therefore, Carlos needs to practice [tex]\frac{11}{20}[/tex] hours before going to bed in order to meet his goal.
A recipe calls for 1/2 cup sugar, 2/3 cup flour, and 2 1/4 cups of oatmeal. What is the combined measurement of these ingredients?
Answer:3 5/12
Step-by-step explanation:
So we have here 1/2, 2/3 and 2 1/4. So let's ignore the 2 from 2 1/4. so we add them all up (1/2 + 2/3 + 1/4) but before we add them up we have to find the common denominator. So the common denominator for 2, 3 and 4 is 12. so the question will be 6/12 + 8/12 + 3/12. Add this up and it will be 17/12 = 1 5/12. Now let's get that 2 back here and add 2 to 1 5/12 (2 + 1 5/12) = 3 5/12
54 divided by 7 simplified
Answer:
7.7142
Step-by-step explanation:
The solution to the number division 54 divided by 7 is: 7⁵/₇
How to carry out number division?Division is defined as a mathematical operation, that is written using the symbol ÷ , and the it can be thought of in two ways: x÷y is the size of each group when x objects are divided into y groups of equal size, OR x÷y is the number of groups when a objects are divided into groups of b objects each.
We are given the expression 54 divided by 7
Thus, the number of times 54 can divide 9 in whole numbers in 7 times with a remainder of 5. Thus:
Solution = 7⁵/₇
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Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. How can Bill make a table to show the different ways he can put fruit in the bowl?
What will be the same in each row of the table?
Answer:
Step-by-step explanation:
5 apples
5 bananas
2 bananas , 3 apples
2 apples and ,3 bananas
4 bananas and 1 apple
4 apples and 1 bananas
the sum of the amount of fruit in the bowl will remain constant
Number of Apple Bill has =5 apple
Number of Banana Bill has =5 Banana
Number of fruits that , Bill can keep in his bowl =5 Pieces of fruit , which will be combination of both Apple and Banana or either 5 Banana or 5 Apple.
Different ways by which the two different type of fruit that bill can put in the bowl, if maximum number of fruit in the bowl =5
Banana Apple Total
1 4 5
2 3 5
3 2 5
4 1 5
5 0 5
4 1 5
3 2 5
2 3 5
1 4 5
0 5 5
In the table , there will be , (total number of fruits=5), which will be same in each row.
a village parking lot is 120 feet wide by 180 feet long, and it has room for 75 cars. the village plans to increase the length by 30%.
A. what will be the new length of the parking lot?
B. how much greater is the new area?
C. if each cars needs about 288 square feet in a parking lot, will the new parking lot be able to fit 20 more cars than the original parking lot? explain.
Answer:
A) 234 feet
B) Area of new parking lot = 28080 square feet
C) The new parking lot will be able to fit 20 more cars than the original parking lot.
Step-by-step explanation:
We are given the following information:
Length of parking lot = 180 feet
Width of parking lot = 120 feet
Number of cars that can be parked = 75
A) Increase in length = 30%
New length =
[tex]\text{original length} + 30\%(\text{original length})[/tex]
[tex]= 180 + \bigg(\displaystyle\frac{30}{100}\times 180\bigg) = 180 + 54 = 234~feet[/tex]
B) New area =
[tex]\text{New length}\times Breadth\\= 234\times 120 \\= 28080~ square~feet[/tex]
C) Space required by 1 car = 288 square feet
Number of cars we want to fit = 75 + 20 = 95
Area required =
[tex]\text{Number of cars}\times \text{Space occupied by 1 car}[/tex]
[tex]= 95\times 288 = 27360~square~feet[/tex]
Hence, the new parking lot will be able to fit 20 more cars than the original parking lot.
A. This results in a new length of 234 feet.
B. The difference in area is 6480 square feet.
C. The new parking lot's area can only accommodate a fraction of a car more than the original lot's capacity of 75 cars, so it cannot fit 20 more cars.
How to find the new length of the parking lotA. The new length of the parking lot after a 30% increase is calculated by adding 30% of the original length (180 feet) to it.
= 180 * 1.3
= 234 feet
This results in a new length of 234 feet.
B. To find the greater area of the new parking lot compared to the original:
Original area: 120 feet (width) * 180 feet (original length) = 21600 square feet.
New area: 120 feet (width) * 234 feet (new length) = 28080 square feet.
The difference in area: 28080 square feet - 21600 square feet = 6480 square feet.
C. To check if the new parking lot can fit 20 more cars:
New area of the parking lot: 120 feet (width) * 234 feet (new length) = 28080 square feet.
Maximum number of cars in new area: 28080 square feet / 288 square feet per car ≈ 97.5 cars.
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the lowest temperature ever recorder on the moon was about -170 C. the lowest temperature ever recorded in antartica was -89 c.find the difference in these temperatures
Answer:
81 c
Step-by-step explanation:
-170 - (-89)= 81
both of the negatives cancel out eachother and make it a positive
caroline is making some table decorations.
each decoration is made from a candle and a holder.
caroline buys some candles and some holders each in packs.
There are 30 candles in a pack of candles.
There are 18 holders in a pack of holders.
How many packs of candles and how many packs of holders does caroline buy?
Answer:
there are 8 candles
Step-by-step explanation:
(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.
Therefore to obtain a 1:1 ratio:
=30 candles/18 candle holders * (18/30)
Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders
(ii) Caroline can make = 30*18 = 540 table decorations
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-5+(5+3) in comuntative property
Answer:
3+(5+-5)
Step-by-step explanation:
in the communtive property you simply just move the numbers, in associative you move the parenthesis, and in distributive you break up the numbers
A race car travels 3.6 hours at an average speed of 205.7 miles per hour. How far does the car travel? Include unit of measurement
Answer:
The car traveled 740.52 miles
Step-by-step explanation:
The only thing you need to do in this problem is to multiply the hours by the rate (mph).
3.6 × 205.7 = 740.52
aaron drives 45 miles per day on average his car averages 28 miles per gallons if gasoline cost 3.80 per gallon how much will aaron spend on gasoline in one year
Answer:
2229.08
Step-by-step explanation:
Step 1: Calculate miles travelled in one year
Miles travelled per day = 45 miles
Miles travelled in one year = 45 x 365 = 16,425 miles
Cost of gasoline per gallon = 3.8 for every 28 miles
Step 2: Divide total miles in one year by per gallon miles
16,425 ÷ 28
= 586.6 miles
Step 3: Multiply the answer by cost of gasoline
586.6 x 3.8
= 2229.08
Therefore, Aaron will spend 2229.08 on gasoline in one year.
Answer:
Aaron spend Rs.1642.4996 on gasoline in one year
Step-by-step explanation:
Aaron drive in 1 day = 45 miles
1 year = 365 days
So, Aaron drives in 365 days = [tex]45 \times 365[/tex]
= [tex]16425 miles [/tex]
We are given that his car averages 28 miles per gallons .
His car travels 28 miles in gallons = 1
His car travels 1 miles in gallons =[tex]\frac{1}{28}[/tex]
His car travels 16425 miles in gallons =[tex]\frac{1}{28} \times 16425[/tex]
=[tex]586.607[/tex]
Cost of 1 gallon = 2.80
Cost of 586.607 gallons = [tex]2.80 \times 586.607=1642.4996[/tex]
Hence Aaron spend Rs.1642.4996 on gasoline in one year
write an equation parallel to x - 3y = 9 that passes through the point ( 3, -1 )
Answer:
x - 3y = 9
-3y = -x + 9
y = (1/3)x - 3
-1 = (1/3)(3) + b
-1 = 1 + b
b = -2
y = (1/3)x - 2
3y = x - 6
-x + 3y = -6
x - 3y = 6
To find an equation parallel to x - 3y = 9 that passes through the point (3, -1), rearrange the equation to slope-intercept form, determine the slope of the given line, and substitute the slope and coordinates into the point-slope form equation.
Explanation:To find an equation parallel to x - 3y = 9 that passes through the point (3, -1), we need to determine the slope of the given line and then use it to form the equation of the parallel line.
First, we rearrange the given equation to find the slope-intercept form: y = (1/3)x - 3. We know that the slope of the parallel line will be the same as the slope of the given line, which is 1/3.
Using the point-slope form, we substitute the slope and the coordinates of the given point into the equation: y - (-1) = (1/3)(x - 3). Simplifying, we get the equation of the parallel line as y = (1/3)x + 2.
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8 is greater than w and 0 is less than w
So the variable w is less than 8 and greater than 0.
8>w>0
Is the perpendicular bisector of a line segment also an angle bisector?
Answer:
yes
Step-by-step explanation:
In an isosceles triangle, one perpendicular bisector is also an angle bisector.
What is the inverse of f(x) = one-thirdx + 2?
Answer:it is option D
Step-by-step explanation:
Convert 5.764764764... to a rational expression in the form of a over b where b ≠ 0.
Answer:
[tex]\large\boxed{5.764764764...=\dfrac{5,759}{999}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\\\\x=5.764764764...\qquad\text{multiply both sides by 1,000}\\\\1,000x=5,764.764764764...\qquad\text{make the difference}\ 1,000x-x:\\\\1,000x-x=5,764.764764764...-5.764764764...\qquad\text{cancel}\ (\overline{764})\\\\999x=5,759\qquad\text{divide both sides by 999}\\\\x=\dfrac{5,759}{999}[/tex]
Keisha swims 18 ft from one side of her circular pool to the other, swimming straight through the center. She then swims one time around the entire edge of her swimming pool.
Enter your answers in the boxes.
How many feet did she swim in terms of π ?
ft
How many feet did she swim using 3.14 for π ? Round your final answer to the nearest tenth.
ft
Answer:
324pie +18ft
1,035.36ft
Answer: 74.5 ft
Step-by-step explanation:
Convert 100 meters to centimeters
Answer:
10000 centimeters
Step-by-step explanation:
we know,
1 meter = 100 centimeters
∴ 100 meters = (100 x 100) centimeters
=10000 centimeters
Help me please I will give poits if help
Answer:
Step-by-step explanation:
y= -5(10) + 30
y = -50 + 30
y = -20
x= 10
(10,-20)
this is the solution
Hey!
----------------------------------
Answer:
(10, -20)
----------------------------------
Solution:
y = -5x + 30
(-20) = -5x(10) + 30
-20 = -50 + 30
-20 = -20
The equation is true.
----------------------------------
Hope This Helped! Good Luck!
Find the product: 8(− 2 7 )(− 1 2 )
A) − 4 7
B) 4 17
C) 7 4
D) 8 7
Answer:2592
Step-by-step explanation:
Answer:
D) 8/7
Step-by-step explanation
Please answer number 2, I will mark brainliest!!
Answer:
Theres not enouh information to come to a conclusion
Step-by-step explanation:
Answer:
It's a rhombus (I think)
Step-by-step explanation:
It tells you "If a parallelogram has 4 congruent sides, then it is a rhombus."
It's also telling you that "the parallelogram has 4 congruents sides."
That's telling me it is a rhombus.
(I have absolutely no idea what the Law of Detatchment is, but it looks like this is the answer to me.)
Micheal cycles a distance of 12 5/6 miles in 2/3 hours. what is his cycling unit rate in miles per hour ?
Use mental math to determine whether each number is
divisible by 1, 2, 3, 5, 9, or 10.
9. 126
10. 257
11. 430
12. 535
13. 745
14. 896
15. 729
16. 945
17. 4,580
18. 6,331
19. 7,952
20. 8,000
21. 19,450
22. 21,789
23. 43,785
24. 28,751
Step-by-step explanation:
you can divide every number by 1
if a number is even you can always divide it by 2
if the number ends in an odd number that isn't 5, you will most likely be able to divide it by 1, 3, or 9
if a number can be divided by 3, it can most likely be divisible by 6 if its an even number
if it ends in 5, you will be able to divide it by 5
if the number is over 10 and ends in a 0 it will be divisible by 10 and/or 5
I hope this helps
What is the simplified fractional equivalent of the terminating decimal 0.78
Answer:
39/50.
Step-by-step explanation:
0.78 = 78/100
= 39/50.
Answer:
39/50
Step-by-step explanation:
The original expression can be restated as follows:
0.78 = 0.70 + 0.08
Convert:
0.70 = 7/10
0.08 = 8/100
Add 7/10 + 8/100:
7/10 + 8/100
Find least common multiple, which is 100:
=(70+8)/100
=78/100
Now, simplify by dividing by 2 for both top and bottom:
39/50
Find the length of the missing side of the triangle below.
The answer would be 65.7!
Penny used 2/5 lb of flour to bake a vanilla cake. She used another 3/4 lb of flour to bake a chocolate cake. How much flour did she use altogether?
Answer:
she use altogether flour is [tex]1 \frac{3}{20}[/tex] lb
Step-by-step explanation:
given data
flour to bake a vanilla cake = [tex]\frac{2}{5}[/tex] lb
flour to bake a chocolate cake = [tex]\frac{3}{4}[/tex] lb
to find out
How much flour did she use altogether
solution
we know here flour use to make cake
so total flour is used = add both flour for vanilla and chocolate cake
total flour is used = [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{4}[/tex]
total flour is used = [tex]\frac{23}{20}[/tex]
she use altogether flour is [tex]1 \frac{3}{20}[/tex] lb
Answer: [tex]\frac{23}{20}\ lb[/tex] or [tex]1\frac{3}{20}\ lb[/tex]
Step-by-step explanation:
For this exercise you need to add fractions.
To bake the vanilla cake, Penny used [tex]\frac{2}{5}\ lb[/tex] of flour and to bake the chocolate cake she used [tex]\frac{3}{4}\ lb[/tex] of flour.
Then, the total flour she used can be found by solving this addition:
[tex]\frac{2}{5}\ lb+\frac{3}{4}\ lb[/tex]
Since the denominators are different, you must find the Least Common Denominator (LCD).
Descompose the denominators into their prime factors and multipy the commons and non-commons with the highest exponent.
Then:
[tex]5=5\\\\4=2*2=2^2[/tex]
[tex]LCD=5*2^2=20[/tex]
So, the sum is:
[tex]\frac{2}{5}+\frac{3}{4}=\frac{4(2)+5(3)}{20}=\frac{23}{20}[/tex]
That improper fraction can be written as a mixed number.
When you divide the numerator 23 by the denominator 20 you get;
A quotient of 1 (This will be the whole number).A remainder of 3 (This will be the numerator of the fraction).The denominator will not change.Then:
[tex]\frac{23}{20}\ lb=1\frac{3}{20}\ lb[/tex]
Evaluate the expression for the given value of x
7x + 8 for x = 2
Answer:
22
Step-by-step explanation:
Since x = 2, we can tell that x is equal to 2.
So this is basically asking 7 times 2 plus 8
7(2) + 8 = ?
14 + 8 = 22
Hope this helps!