Answer:
B) -3
Step-by-step explanation:
4 - 2x = 10
Subtract 4 from each side
4-4 - 2x = 10 -4
-2x = 6
Divide by -2
-2x/-2 = 6/-2
x = -3
Answer:
x= -3
Step-by-step explanation:
First, you would subtract 4 from both sides to isolate the -2x, which makes -2x=6. Then to isolate the x, you divide by the negative 2 (negative because the subtract sign is before it.) to get x=-3
Help...
Which is a correct name for the angle shown?
a. KMJ
b. KML
c. MJN
d. NLK
Draw a number line to show that 3/5 and 6/10 are equivalent
To show that 3/5 and 6/10 are equivalent using a number line, mark both fractions on the number line using tenths. As 3/5 is equal to 6/10, both fractions will land on the same point, confirming their equivalence.
Explanation:The question is asking us to show that 3/5 and 6/10 are equivalent using a number line. First, let's understand that these are both fractions and are representations of the same value. To show this equivalence on a number line, start by drawing a line and marking it in increments from 0 to 1. You can choose to have 10 ticks, therefore each tick will represent 0.1.
Mark 3/5 on your number line by counting 6 ticks/tenths (because 3/5 is equal to 6/10 when the denominator is 10) from zero. Now, also mark 6/10 on the number line by counting 6 tenths from zero. You will find that both the fractions 3/5 and 6/10 land on the same point on the number line, thus showing they are equivalent.
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Mark both fractions on the number line with tenths to demonstrate that 3/5 and 6/10 are equivalent. Because 3/5 equals 6/10, both fractions will settle on the same point, proving their similarity.
The question asks us to use a number line to demonstrate that 3/5 and 6/10 are comparable. To begin, recognize that these are both fractions and represent the same amount. To demonstrate this equivalency on a number line, draw a line and mark it in increments of 0 to 1. You have the option of having 10 ticks, in which case each tick represents 0.1.
Mark 3/5 on your number line by counting 6 ticks/tenths from zero (since 3/5 equals 6/10 when the denominator is 10). Mark 6/10 on the number line as well by counting 6 tenths from zero. Both the fractions 3/5 and 6/10 land on the same point on the number line, indicating that they are comparable.
Ganesh uses 1.6 gallons of paint for his bedroom walls. For his study, he uses 0.7 times the amount of paint he uses for his bedroom. How much paint does Vanesh use to paint his study?
Answer:
1.12
Step-by-step explanation:
1.6 x 0.7
which is the solution to the inequality?
y+15<3
A. y<-12
B. y>-12
C. y<18
D. y>18
Answer:
A. y<-12
Step-by-step explanation:
y+15<3
To solve this inequality, we need to isolate y.
To do this we will subtract 15 from each side.
y+15-15<3-15
y < -12
A dripping faucet loses about 2.5×10^−4 litres of water each minute. There are approximately 3×10^5 minutes in a month.
About how many liters of water are lost because of the dripping faucet in a month?
Drag and drop the values to the boxes to express the answer in scientific notation.
Answer:
7.5 litres.
Step-by-step explanation:
Volume of water lost in 1 month = 2.5 * 10^-4 * 3 * 10^5
= 2.5 * 3 * 10^(-4+5)
= 7.5 * 10^1
= 7.5 litres (answer)
Answer:
The answer is 7.5 times 10 to the power of 1
Step-by-step explanation:
What is the value of the expression?
92÷(−3)0
−27
3
27
81
Answer:
=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
1
#20 please help ASAP that in advance
Answer:
10 2/15 hours
Step-by-step explanation:
If we have a candle that is 11 2/5 inches tall
It burns 1 1/8 inches per hour. We need to divide to see how long the candle will last
11 2/5 ÷ 1 1/8
I will convert the mixed numbers to improper fractions
11 2/5 = (5*11+2)/5 = 57/5
1 1/8 = (8*1+1)/8 = 9/8
57/5 ÷ 9/8
Copy dot flip
57/5 * 8/9
456/45
Now we change it back to a mixed number
45 goes into 456 10 times with 6 left over
10 6/45
This simplifies to 10 2/15
I am in need of math help
Answer:
x = 10
Step-by-step explanation:
An equilateral triangle has 3 congruent sides.
Let each side have length s.
P = 60 cm
P = 3s
3s = 60 cm
s = 20 cm
Each side has length 20 cm.
Draw an equilateral triangle with a horizontal side on the bottom. From the top vertex, drop a vertical segment to the horizontal side. This segment is the altitude. The altitude is the perpendicular bisector of the horizontal side of the triangle. Now you have two small congruent triangles, one on each side. One angle at the horizontal side is 60 degrees. The other is 90 degrees. The top angle is 30 degrees. Half of the bottom side of the original equilateral triangle has length 10 cm. The hypotenuse is 20 cm. The altitude is the third side.
10^2 + 20^2 = altitude^2
altitude^2 = 20^2 - 10^2
altitude^2 = 400 - 100
altitude^2 = 300
altitude^2 = 100 * 3
altitude = sqrt(100) * sqrt(3)
altitude = 10sqrt(3)
altitude = x * sqrt(3)
x = 10
Marian went shopping and bought clothes for $66.17 and books for $44.98. She then had a meal at the mall for $20.15. Which is the best estimate of the total cost of her shopping trip?
Answer:
Either 130 or 131 would be acceptable.
Step-by-step explanation:
When we estimate, we do not use exact values.
66.17 is close to 66
44.98 is close to 45
20.15 is close to 20
Add the estimates together: 66+ 45+ 20 = 131
We could also estimate 66.17 to 65 which would give us an estimate of 130
Answer: The total cost would be $ 131.
Step-by-step explanation:
Since we have given that
Amount for bought clothes = $ 66.17
Amount for books = $ 44.98
Amount for meal = $ 20.15
First we add all the amount to get the total cost.
Total cost is given by
$ 66.17 + $ 44.98 + $ 20.15 = $ 131.30 So, the good estimate of $ 131.30 is
$ 130.
Hence, the total cost would be $ 131.
Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.?
Answer:
81/16
Step-by-step explanation:
We have [(3^2 * 5^0) / 4]^2
= [ ( 9 * 1) / 4]^2
= (9/4)^2
= 81/16
Answer:
81/16
Step-by-step explanation:
3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared
[(3^2 * 5^0)/4]^2
According to PEMDAS, we work the inside parentheses first
3^2 * 5^0
3^2 = 9
5^0 = 1
9*1 =9
[(3^2 * 5^0)/4]^2
[9/4]^2
I will break this up into parts
9^2/4^2
9^2 =81
4^2 =16
81/16
a 60 percent increase followed by a 40 percent decrease
Answer:
This winds up being a 4% decrease.
Step-by-step explanation:
For an example, we will take an object that costs $100. If we mark it up by 60%, the new cost will be $160.
Now we want to take the cost of $160, and subtract 40%. First we need to find 40% of $160. We can do that by multiplying them together.
$160*40% = $64
Now we will subtract that from the cost of the item after the increase.
$160 - $64 = $96.
Even though the percent decrease was less, the order in which we do it causes this to be an overall decrease
The net effect of a 60 percent increase followed by a 40 percent decrease is a 4 percent decrease from the initial value.
The student is asking about the net effect of a 60 percent increase followed by a 40 percent decrease on a value. To solve this, one would typically express these percentages as factors; an increase of 60% would be represented as multiplying by 1.60 (100% original + 60% increase), and a decrease of 40% as multiplying by 0.60 (100% original - 40% decrease). If we call the initial value 'x', then after the increase, the value becomes 1.60x.
Then, applying the 40 percent decrease, we multiply by 0.60: 1.60x * 0.60 = 0.96x. Thus, the net effect of a 60 percent increase followed by a 40 percent decrease results in a 4 percent decrease of the initial value.
What is the fraction to 50% of 1/3
Answer:
1/6
Step-by-step explanation:
[tex]\frac{1}{3} * \frac{50}{100} = \frac{50}{300} = \frac{1}{6}[/tex]
5456.3 mi to the nearest mile
Answer:
54.56
Step-by-step explanation:
The number after the point is not 5 or higher
Pamela is building a 2 wooden decks. Each deck needs 25 pieces of wood and each piece of wood needs 8 screws. If Pamela already have 40 screws,how many more screws does she need to buy?
Answer:
360 screws
Step-by-step explanation:
First we need to determine how many screws she needs for the 2 decks
We will determine the number of screws for 1 deck
1 deck uses 25 pieces of wood
25 pieces of wood * 8 screws/ piece of wood = 200
200 screws per deck
She is building 2 decks
2 * 200 = 400
400 screws for the 2 decks
She has 40 screws
400 screws she needs - 40 screws she has = 360 screws she still needs
How much longer is her guinea pig than her fish
Answer:
Her guinea pig is 210 millimeters longer than her fish
Step-by-step explanation:
1.Convert centimeters into millimeters
2.Subtract 40 from 250
3.You have the answer!
I hope this was helpful
Please helppppppppp i dont get it
Answer:
well what you do is times it
Step-by-step explanation:
so 14 x 12 and its 168 and 168 x 5 is 840 so its 840 c
can i get brainlyest
your welcome
The fraction 22/7 is sometimes used as an estimate of is 22/7 a repeating decimal
Answer:
The fraction 22/7 is sometimes used as an estimate of is "pi."
Yes, it is a repeating fraction.
Step-by-step explanation:
22 divided by 7 is 3.142857142857143... going on into infinity. It is an estimate of pi, and does repeat every 6 decimal numbers.
the price of a bicycle went from $200 to $165 what was the percent of decrease on the bicycle
wich property is shown in this example
[4.5+3.4]+2.3=4.5+[3.4+2.3]
Answer:
I would say associative property of multiplcation
Step-by-step explanation:
Your just switching the parenthesis to a different set of numbers you arent changing the order of the numbers and they have multiplying signs inside the parenthesis
I need help with number 4
Answer:
21 girls
Step-by-step explanation:
Boys: girls
5:7
Multiply each number by 3
15: 21
There will be 15 boys and 21 girls
8 is what percent of 25
Answer:
2
Step-by-step explanation:
8% is the same thing as multiplying something by 0.08.
25 x 0.08 = 2
Hope this helps :)
Answer:
8 is 2 percent of 25
Step-by-step explanation:
we can prove this as
=[tex]\frac{25}{100}[/tex]×8
=[tex]\frac{2oo}{100}[/tex]
=2
hence proved
why does it make sense that the slipe of perpendicular lines have oppposite signs?
These lines are perpendicular since their slopes are negative reciprocals. If you multiply a slope times its negative reciprocal, the result is always -1. ... Let's prove that perpendicular lines have negative reciprocal slopes, AND that negative reciprocal slopes imply perpendicular lines.
Luis, Marisa and Federico are raising money for a school trip has raised 6/7 of the total amount needed marissa has raised 5/9 of the total amount needed and Federico has raised 11/10 of the total amount needed. Who has raised the most money
Answer:
Federico
Step-by-step explanation:
11/10 is a mixed number, that means it is larger than the whole, which in this case is the money for the school trip, since the numerator is larger than the denominator, and Luis and Marisa both have numerators smaller than the denominator, that makes 11/10 the largest.
Answer:Federico
Step-by-step explanation:
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
option C (3, 2)
Step-by-step explanation:
We have to solve the system of equation by substitution method.
2x + y = 8 ------(1)
y = -x + 5 -------(2)
Now we substitute the value of y from equation (2) to equation (1)
2x + ( -x + 5) = 8
2x - x + 5 = 8
x + 5 = 8
x = 8 - 5
x = 3
Now from equation (2)
y = -x + 5
y = - 3 + 5
y = 2
Therefore, option C (3, 2) will be the answer.
Which graph represents the solution for the equation 4/3x+2=5x
The question is about solving the equation 4/3x+2=5x and identifying the corresponding graph. There appears to be a mix-up with unrelated information about proportions and graphing the equation y = 9 + 3x. The correct approach to solve the equation was described, but without graphical context, a specific graph cannot be identified.
Explanation:The student asked which graph represents the solution for the equation 4/3x+2=5x. To solve this equation algebraically, we need to isolate the variable x. However, it seems that the information provided in the question does not directly relate to the solution of the given equation. Instead, there is a mix-up with an example of setting up a proportion, finding the slope of a line, and graphing the equation y = 9 + 3x.
For the equation 4/3x+2=5x, we would solve for x by first combining like terms or using inverse operations to get all x terms on one side and constants on the other. The correct approach would be to subtract 4/3x from both sides of the equation and subtract 2 from both sides, which simplifies to 0 = 5x - 4/3x - 2, giving us a single-variable linear equation that can be solved for x. However, without a clear graph or further context, this explanation cannot indicate which specific graph represents the solution to the original equation.
The table below shows the number of scooters sold at a store during a three-year period
Year 1-725
Year 2-679
Year 3-696
In year 4,the store sold 112% of the total number of scooters sold during the previous three years combined. Determine the number of scooters sold in year 4.
Answer:
4, 4452 scooters were sold
Step-by-step explanation:
Add the number of scooters sold in the previous 3 years.
725 + 679 + 696 = 2100
If In year 4, the store sold 112% of the total number of scooters sold during the previous three years combined, then we have:
2100 (1 + 1.12) = 4452
In Year 4, 4452 scooters were sold
Answer:
2352
Step-by-step explanation:
We are given that:
The number of scooters sold at a store during a three-year period
Year 1-725
Year 2-679
Year 3-696
In year 4,the store sold 112% of the total number of scooters sold during the previous three years combined.
Total scooters sold in previous three years=725+679+696
= 2100
the number of scooters sold in year 4=112% of 2100
= [tex]\dfrac{112}{100}\times 2100[/tex]
=2352
A ladder leans against the side of a house. The angle of elevation of the ladder is 64 degrees
, and the top of the ladder is 13 ft from the ground. Find the length of the ladder. Round your answer to the nearest tenth.
Answer:
The length of the ladder is 14.5 ft
Step-by-step explanation:
For a right triangle
sinx = opposite / hypotenuse
Since we know the angle and the opposite side, we can calculate the hypotenuse
sin 64 = 13/ hypotenuse
Multiply each side by the hypotenuse
hypotenuse * sin 64 = 13
Divide by sin 64
hypotenuse = 13/sin 64
hypotenuse=14.4638
Rounding to the nearest tenth
14.5
The problem asks for the length of the ladder that forms a triangle with the house. The length of the ladder, which represents the hypotenuse of the triangle, can be calculated using the sine function and the given angle of 64 degrees and the opposite side of 13 feet. The calculated length of the ladder, rounded to the nearest tenth of a foot, is 14.2 feet.
Explanation:The subject of this question falls under the branch of Mathematics, specifically trigonometry. The problem statement defines a right-angled triangle with a 64-degree angle, a known opposite side (13 ft), and we are asked to find the hypotenuse or the length of the ladder.
To find the length of the ladder, we will use the sine function which in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In mathematical form, Sin(θ) = Opposite / Hypotenuse. To find the hypotenuse, we will rearrange the formula to Hypotenuse = Opposite / Sin(θ).
Substituting the known values: Hypotenuse = 13 ft / Sin(64 degrees). Therefore, the length of the ladder is approximately 14.2 feet rounding to the nearest tenth.
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Not understanding how to solve
Answer:16x-4. You add all the numbers with common terms first, such as all the xs together. Then you add all the numbers without an x in front and tada!
Step-by-step explanation:Above
At a raffle, 250 tickets are sold at $1 each for 3 prizes of $100, $50, and $10. You buy 1 ticket. What is the expected value of your gain? Should you play this game?
1. Explain HOW to determine the expected value. (one paragraph)
2. Interpret the meaning of the expected value for this scenario. (one paragraph)
Answer: My expected value would be of $10
Step-by-step explanation The way you can determine the expected value is by thinking about the lowest price and how much you paid. I think I would get $10 because They wouldn't make it very easy to get a big prize like $100. Pleas mark this brainliest and I will be glad to help you anytime.
The expected value of buying a ticket in this raffle is -$0.348, meaning you're expected to lose about 35 cents per ticket. Thus, in terms of expected financial return, this game is not favorable to play.
Explanation:The expected value, in probability theory, is the average result of an experiment repeated many times. In this case, to calculate the expected value of the game, we will multiply each outcome by the probability of that outcome, and then sum these values. The outcomes here are $100, $50, $10, and -$1 (the cost of the ticket), and the respective probabilities are 1/250, 1/250, 1/250, and 247/250 (the probability of not winning anything).
Here's the calculation: ($100 x (1/250)) + ($50 x (1/250)) + ($10 x (1/250)) + (-$1 x 247/250) = $0.40 + $0.20 + $0.04 - $0.988 = -$0.348. That indicates that, on average, for each ticket you buy, you're expected to lose about $0.35. Therefore, in terms of pure expected value, it's not a favorable game to play. However, decisions to participate in games like this often consider more than just expected financial return, such as the thrill of participation or the opportunity to support a charitable cause.
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Multiply 6√3 • 8√14 • √10 • √2
Answer:
96 sqrt(210)
Step-by-step explanation:
6√3 • 8√14 • √10 • √2
We multiply what is outside the square roots with what is outside the square roots and what is inside the square roots with what is inside the square roots
6*8 = 48
3*14*10*2 = 840
6√3 • 8√14 • √10 • √2
48 sqrt(840)
48 sqrt( 4*210)
sqrt(a*b) = sqrt(a) sqrt(b)
48 sqrt(4) sqrt(210)
48 *2 sqrt(210)
96 sqrt(210)
210 is 3*7 *5*2 which are all primes, so we cannot simplify the sqrt (210)