Remark
You have to read this carefully to know what way to write it.
One way you could write it would be
20 * x = 18 where x is the fraction. Now all you need do is divide.
Divide both sides by 20
20/20 * x = 18/20
[tex]\text{x = } \dfrac{18}{20}[/tex]
But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.
18: 2 * 3 * 3
20: 2 * 2 *5
Cancel out the Highest common factor or 2.
You are left with
[tex]\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}[/tex] <<<< Answer
★ What fraction of 20 is 18?
In questions like these, when you see the word "of", it is usually used for the denominator. In your question, it says "of 20". That means the denominator will be 20.
Here is your current fraction:
[tex]\frac{x}{20}[/tex]
After that phrase, it says "is 18". The word "of" is used for the numerator. That means the numerator is 18.
Here is your fraction:
[tex]\frac{18}{20}[/tex]
You have your complete fraction, but it can be simplified. Both numbers are even(numbers that end with 2, 4, 6, 8, or 0) and every even number is divisible by 2. You can just divide both numbers by 2.
[tex]\frac{18 \div 2}{20 \div 2} = \frac{9}{10}[/tex]
You have your simplified fraction, which is [tex]\frac{9}{10}[/tex], and it cannot be simplified any further.
Your answer is [tex]\frac{18}{20}[/tex] which becomes [tex]\frac{9}{10}[/tex] when simplified.
If you have any questions, feel free to ask in the comments! :)
(40 points) Manuel and Jerry are trying to find the value of the expressions (5+7)2. Jerry plans to first square 5,then square 7,and then add the products together. Manuel plans to add 5 and 7 together, then square the sum
drink at the fair cost $2.50. Use an equation to represent the relationship between the numbers of drinks bought and the cost . Define your variable and make a table to help write the equation
2.50 x 8.00= 10.50. :)
The relationship between the number of drinks bought and the total cost is represented by the equation [tex]C = 2.50 \times d[/tex], with d being the number of drinks. A table can be used to display this relationship, indicating the incremental increase in cost with each additional drink.
To represent the relationship between the number of drinks bought at the fair and the total cost, we can define a variable, let's say d, where d represents the number of drinks purchased. Since each drink costs $2.50, we can write the equation for the total cost C as:
[tex]C = 2.50 \times d[/tex]
Now, let's construct a table to show some examples of how this equation works:
Number of Drinks (d) Cost (C) 1 $2.50 2 $5.00 3 $7.50 4 $10.00
The equation C = 2.50 imes d helps us understand that for every additional drink bought, the cost increases by $2.50.
Who can solve and explain pleas ....
The answer would be the fourth choice.
the rectangle is the image after a dilation with the center of dilation at the origin of rectangle ABCD. The pre-image of A', point A, has coordinates of (–4, 3.2). What is the scale factor of the dilation and what are the coordinates of point C?
The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).
The scale factor is 0.4 and the coordinates of point C are (–2.4, –0.8).
The scale factor is 2.5 and the coordinates of point C are (–15, 5).
The scale factor is 0.4 and the coordinates of point C are (–15, 5).
Answer:
It's the first one!
I just took the test. Hope this helps!
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).
can u solve this plzz
any help I would really appreciate it
Answer:
C and D
Step-by-step explanation:
You can tell if equations have no solution if the variables on both sides of the equation are the same.
Choice C is 10+6x=15+9x-3x. You would combine 9x and -3x, turning the equation into 10+6x=15+6x. Since there is a 6x on both sides, Choice C would have no solution.
The same for Choice D. When you simplify everything there is a 3x on both sides, so it would have no solution.
bhhkjoih
c and d
I don t understand
what is 21/32 divided by 7/8?
well first you want to do 21/32 and you get 0.6562
then youll do 7/8 you get 0.875
then youll divide 0.6562 by 0.875 you get 0.7499
then it would be 7499/10000 converted back into a fraction
To divide fractions like 21/32 divided by 7/8, we multiply the first fraction by the reciprocal of the second, getting (21 times 8)/(32 times 7) which simplifies to 3/4.
Explanation:The subject in your question is Mathematics, specifically division of fractions. To divide fractions, we need to first understand the concept of reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So the reciprocal of 7/8 is 8/7. When you divide by a fraction, it's the same as multiplying by its reciprocal. Therefore, 21/32 divided by 7/8 equals 21/32 times 8/7.
To further solve this, you multiply the numerators together to get a new numerator and the denominators to get a new denominator. So you get (21 times 8)/(32 times 7) which is 168/224. When you simplify this fraction, you should get 3/4. So, 21/32 divided by 7/8 is 3/4.
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i need help on a math problem. how do you solve 2.2=z-1.1?
Evaluate the expression. 5^2 ( The two goes to the top) - 4 · 6 + 11
HI Sydney!
Question:
Solve 5^2 - 4 x 6 + 11
Solution:
Remember to follow PEMDAS,
= 5^2 - 4 x 6 + 11
= 25 - 4 x 6 + 11
= 25 - 24 + 11
= 1 + 11
= 12
Answer: 12
Answer:
102
Step-by-step explanation:
5*2 would be?
10
But we are not done... We have to minus 10 and 4
Which will give us - 6
Then you do 6+11 ..
Which will give you 17..
So what do we do will 6 and 17?
WE MULTIPLY IT...
6 * 17
Will get you 102....
Hope this helps...
Help me. Jsjsbeisbehebeeueebejebeheheheeheh
Answer:
11. Triangles to rectangles: [tex]\frac{1}{4}[/tex] or [tex]1:4[/tex]
For each triangle there are 4 rectangles.
12. Soccer balls to footballs: [tex]\frac{3}{5}[/tex] or [tex]3:4[/tex]
For every 3 soccer balls there are 5 Footballs.
13. - Kittens to puppies: [tex]\frac{3}{1}[/tex] or [tex]3:1[/tex]
For every 3 kittens there is a puppy.
- Puppies to kittens: [tex]\frac{1}{3}[/tex] or [tex]1:3[/tex]
For each puppy there are 3 kittens.
Step-by-step explanation:
To express a counting problem as a ratio you should divide the number of things before the word "to" by the number of things after the word "to". A ratio can be expressed as a fraction or separating the two numbers with a colon (a:b).
Let's apply this to each one of our problems.
11. Here we have triangles to rectangles, so we are going to divide the number of triangles by the number of rectangles.
We can count 2 triangles and 8 rectangles from our picture, so
Triangles to rectangles = [tex]\frac{NumberofTriangles}{NumberifRectangles} =\frac{2}{8}[/tex]
Notice that both numerator and denominator of our ratio are divisible by 2, so simplify it, we just need to divide them both by 2:
[tex]\frac{2}{8} =\frac{\frac{2}{2} }{\frac{8}{2} } =\frac{1}{4}[/tex]
So the ratio from triangles to rectangles is [tex]\frac{1}{4}[/tex] or [tex]1:4[/tex]
which means that for 1 triangle there are four rectangles.
12. Here we have soccer balls to footballs, so we are going to divide the number of soccer balls to the number of footballs and simplify our resulting fraction. We have 6 soccer balls and 10 footballs in our picture
Soccer balls to footballs = [tex]\frac{NumberofSoccerBalls}{NumberofFootballs} =\frac{6}{10} =\frac{\frac{6}{2} }{\frac{10}{2} } =\frac{3}{5}[/tex]
For every 3 soccer balls there are 5 Footballs.
13. Here we have kittens to puppies or puppies to kittens. We know that there are 36 Kittens and 12 puppies.
- Kittens to puppies = [tex]\frac{NumberofKittens}{NumberofPuppies} =\frac{36}{12} =\frac{\frac{36}{12} }{\frac{12}{12} } =\frac{3}{1}[/tex]
For every 3 kittens there is a puppy.
- Puppies to kittens = [tex]\frac{Number of Puppies}{NumberofKittens} =\frac{12}{36} =\frac{\frac{12}{12} }{\frac{36}{12} } =\frac{1}{3}[/tex]
For each puppy there are 3 kittens.
If y = 7x, what happens to x when y is increased by 5 times its original value?
A) x decreases 5 times its original value
B) x increases to 11/5 its original value
C) x also increases 5 times its original value
D) x decrease to 4/5 of its original value
C) X also increases to y7 times its original value
Margaret has some goats.
The goats produce an average of 21.7litres of milk a day for 280 days.
She sells the milk in half litre bottles.
Work out an estimate for the number of bottles Margaret will be able to fill with the milk.
To estimate the number of bottles Margaret can fill, multiply the daily milk production (21.7 liters) by the number of production days (280) to get the total milk produced, then divide this by the volume of one bottle (0.5 liters) to determine the number of bottles (12152).
Explanation:Estimating Number of Bottles from Milk Production
Margaret has goats that produce an average of 21.7 liters of milk a day for 280 days. The key task here is to estimate how many half-liter bottles could be filled with this amount of milk. Since each bottle holds half a liter, we need to calculate the total volume of milk and then divide it by the volume of one bottle, which is 0.5 liters.
Calculate the total milk production: 21.7 liters/day × 280 days = 6076 liters.Calculate the number of half-liter bottles: 6076 liters ÷ 0.5 liter/bottle = 12152 bottles.Therefore, Margaret would be able to fill an estimated 12152 half-liter bottles with the milk produced.
Simplify the given expression below: (4 + 2i) − (1 − 7i)
Answer: 3 + 9i or C
Step-by-step explanation:
(4 - 1) = 3
2i - (negative)7 = 9i
Which expression is equivalent to 5(2 + 7)?
2(5 + 7)
2 + 7(5)
5(2) + 7
5(2) + 5(7)
Equivalent expressions are expressions with the same value.
The equivalent expression is [tex]\mathbf{5(2) +5(7)}[/tex]
The expression is given as:
[tex]\mathbf{5(2 +7)}[/tex]
Express as an equation
[tex]\mathbf{5(2 +7) =5(2 +7)}[/tex]
Apply distributive property
[tex]\mathbf{5(2 +7) =5(2) +5(7)}[/tex]
Hence, the equivalent expression is [tex]\mathbf{5(2) +5(7)}[/tex]
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help me with the question in the picture?
Answer: -3< 0
Step-by-step explanation: this means -3 is less than 0.
As on number line -3 and 0 are marked. We know 0 is origin if we go rightward i .e towards the positive number all numbers are greater than zero.
But if we move leftward on number line the numbers are less than zero.
72:24 = 15:__ Please find the missing term.
Final answer:
To find the missing term in the proportion 72:24 = 15:__, you divide 72 by 24 to find the common ratio, which is 3. Then, you set 15/x = 3 and solve for x, giving you the missing term 5, making the proportion 72:24 = 15:5.
Explanation:
To find the missing term in the proportional relationship 72:24 = 15:__, we can set up a proportion where both ratios are equal. We know that 72 divided by 24 equals 3, so the missing term, which we'll call x, needs to satisfy the equation 15/x = 3.
By cross-multiplying, we get:
15 * 1 = 3 * x
15 = 3x
x = 15 / 3
x = 5
Therefore, the missing term is 5, and the proportion correctly reads 72:24 = 15:5.
Keith is riding a Ferris wheel.his car turned 120 and stopped.Then his car turned 100 and stopped again
Answer:
what is the question please?
Step-by-step explanation:
The RANGE of the function f(x) = (x - 3)2
The Range for that function is [0,infinite)
Since we don’t have math books to review can someone help with this and explain
Answer:
Celsius is going up by 10's while Fahrenheit is going up by 18
Step-by-step explanation:
by subtracting the first two numbers then the next two you will see the pattern.
If F(x)= 4-2x^2 And g(x) = 6x, which expression is equivalent to (g-f)(3)
Answer: 32
Step-by-step explanation:
Complete solution is attached below.
Amy was soaking her poor feet! Together Amy,Marcus,and Carrie walked a total of 15 miles in the Wilbur School Walkathon. Marcus walked twice as far as Carrie,and Amy walked 3 times as far as Carrie. How many miles did Amy,Marcus and Carrie each walk?
First, model it out in an equation, and lets say x is the amount carrie walked
x+2x+3x=15
Then, combine like terms
6x=15
then divide
2.5
So now we have carries walk speed, then we go by the question, multiply 3 by 2.5 for amy, and 2 by 2.5 for marcus
carrie walked 2.5 miles
marcus walked 5 miles
amy walked 7.5
To find out how many miles Amy, Marcus, and Carrie each walked, algebra is used. Carrie walked 2.5 miles, Marcus walked twice as much (5 miles), and Amy walked three times as much as Carrie (7.5 miles), totaling 15 miles.
The student is asking how many miles Amy, Marcus, and Carrie each walked if together they walked a total of 15 miles in the Wilbur School Walkathon, with Marcus walking twice as far as Carrie, and Amy walking three times as far as Carrie. To solve this problem, we can use algebra. Let's denote the number of miles Carrie walked as c. According to the problem, Marcus walked twice as far as Carrie, so Marcus walked 2c miles. Amy walked three times as far as Carrie, therefore Amy walked 3c miles.
Total distance walked by all three together is 15 miles.
Carrie walked c miles.
Marcus walked 2c miles.
Amy walked 3c miles.
The sum of their distances is equal to the total distance, so we can write the equation c + 2c + 3c = 15. When we add up the left side, we get 6c = 15. To find out how many miles Carrie walked, we divide both sides of the equation by 6, resulting in c = 15 / 6, which simplifies to c = 2.5. Carrie walked 2.5 miles.
Since Marcus walked twice as much, Marcus walked 5 miles (2 times 2.5). And since Amy walked three times as much as Carrie, Amy walked 7.5 miles (3 times 2.5).
What’s 2.5 times 0.3 with four decimals places
[tex]\mathrm{Multiply\:without\:the\:decimal\:points,\:then\:put\:the\:decimal\:point\:in\:the\:answer},25\cdot:3=75,2.5\mathrm{\:has\:}1\mathrm{\:decimal\:place},0.3\mathrm{\:has\:}1\mathrm{\:decimal\:place},\mathrm{Therefore,\:the\:answer\:has\:}2\mathrm{\:decimal\:places},=0.75[/tex]
Hope This helps!!!
2.5 times 0.3 is 0.7500 when expressed to four decimal places, taking into account the correct amount of significant figures.
The question asks to calculate 2.5 times 0.3 and express the result to four decimal places. To perform this multiplication, we multiply
2.5 × 0.3 = 0.75.
When expressing the result with four decimal places, we add extra zeros as necessary, resulting in 0.7500. It's important to remember that calculators provide results that must be rounded to reflect the number of significant figures of the initial numbers involved in the calculation.
3p + 3q = 36
5p + 39 = 40
P = ?
Q= ?
3p + 3q = 36 equation 1
5p + 39 = 40 equation 2
subtracting 39 both sides of equation 1.
5p +39 -39= 40-39
5p =1 ⇒ 5p/5 = 1/5 ⇒ p = 1/5
putting value of p in equation 1.
3(1/5) +3q =36
3/5 +3q =36 equation 3
subtracting 3/5 both sides equation 3 becomes.
3q =36 -3/5
3q=177/5 equation 4
dividing 3 both sides of equation 4
q=59/5
George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging?
9 and 1 over 2 multiplied by 1 over 4
9 and 1 over 2 plus 1 over 4
9 and 1 over 2 divided by 1 over 4
9 and 1 over 2 minus 1 over 4
Hello,
Question:
George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging?
We know:
He jogged 9 1/2 miles during October and November
1/4 mile every day
Answer:
9 and 1 over 2 divided by 1 over 4
Brittany says that to determine the distance between 180 and 34, you can just subtract 180 - 34.
will subtracting the two numbers without determining the absolute value of their difference always work? Can you give me an example to support your answer.
No because there will be a time when you need to determine the absolute value for instance: Absolute values are often used in problems involving distance and are sometimes used with inequalities
if m‹WXY=160°, what are in m‹WXZ and m‹ZXY
Answer:
100///////////////////////////
Step-by-step explanation:
A weather reporter in your area said that the speed of sound in air today is about one thousand one hundred feet per second. What is that speed in scientific notation?
Answer:
The speed in scientific notation is [tex](1.1)(10^{3})[/tex] feet per second.
Step-by-step explanation:
1. You have the following speed: One thousand one houndred feet per second.
2. You must convert from words to number. This is:
1,100 feet per second
3. To express this quantity in scientific notation, you can move the decimal point three places to the left, and write it as: 1.1 by [tex]10^{3}[/tex] (or 1,000) as following:
[tex]1,100=(1.1)(10^{3})[/tex]
The speed of sound in air, which is about one thousand one hundred feet per second, is represented in scientific notation as 1.1 x 10³.
The speed of sound in air as reported by a weather reporter is approximately one thousand one hundred feet per second. To express this speed in scientific notation, we convert 1,100 to a number between 1 and 10 multiplied by a power of 10. The number 1,100 is equivalent to 1.1 x 103 in scientific notation.
The weight og Darrin's phone is 3.405 ounces. What is 3.405 written in expanded form?
A. 3×1+4×1/10+5×1/1,000
B.3×10+4×1/10+5×1×1/1,000
C.3×10+ 4× 1/10+5× 100
D.3× 1+4× 1/100+5× 1/1,000
The correct way to write the number 3.405 in expanded form is 3×1 + 4×1/10 + 5×1/1,000.
Explanation:The weight of Darrin's phone is given as 3.405 ounces. You are asked to write this decimal number in expanded form. The concept of expanded form is a way to break down numbers to show how each digit in a number has a value based on its position or place. In the case of 3.405, the 3 is in the ones place, the 4 is in the tenths place, and the 5 is in the thousandths place. As such, when we expand the number, we multiply each digit by the place it represents: 3×1 + 4×1/10 + 5×1/1,000 , option A is the correct one for representing the number 3.405 in expanded form.
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Which coordinate plane shows the graph of f(x)=2x+3?
Answer:
NOT the graph A and the graph B.
Step-by-step explanation:
y = mx + b
m - slope
b - y-integer
If m > 0 then the function is increasing.
if m < 0 then the function is decreasing.
We have y = -2x + 3
m = -2 < 0 the function is decreasing
b = 3 y-intercept = 3
The x-intercept: y = 0. Substitute
0 = -2x + 3 add 2x to both sides
2x = 3 divide both sides by 2
x = 1.5
Therefore your answer is C or D (look at the picture)
if x is an integer, then -x is positive true or false
Answer:
An integer is a whole number that can be positive, negative, or zero
The negative of a negative number is positive. -(-3) = +3
The negative of a positive number is negative. -(3) = -3
Zero can neither be positive nor negative