Answer:
2/3x = 10.....multiply both sides by 3/2 giving u :
x = 10 * 3/2
x = 30/2 which equals 15
Step-by-step explanation:
So your answer is 3/2 or 32
If 10% of 60 is 6, what is 5% of 60?
Explain how you found your answer
Answer:
10% of 60 means (10 X 60)/100 so the answer is 6. Similarly 5% of 60 means (5 X 60)/100 , So the Answer is 3.
Step-by-step explanation:
Answer:
Step-by-step explanation:
36 cups equal how many ounces
Answer:
288
Step-by-step explanation:
You multiply the number of cups by 8 to get how many ounces the cup(s) are.
36 times 8= 288
The area of a square in square feet is represented by a^2 + 16a + 64
a- Find an expression for a side length of the square
b- Find the perimeter of the square when a=9
Answer:
a. a side length is (a+8)
b. a=9. (9+8)= 17
17×4= 68 is the perimeter
Plz answer!! ASAP!!
(1) ∠ABC = 65°, ∠DBE = 65°, ∠CBE = 115°, ∠ABD = 115°
(2) ∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°
Solution:
(1) In the given image ABC and DBE are vertical angles.
Vertical angle theorem:
If two angles are vertical then they are congruent.
⇒ ∠ABC = ∠DBE
⇒ 3x° + 38° = 5x° + 20°
Arrange like terms one side.
⇒ 38° – 20° = 5x° – 3x°
⇒ 18° = 2x°
⇒ x° = 9°
∠ABC = 3(9°) + 38° = 65°
∠DBE = 5(9°) + 20° = 65°
Adjacent angles in a straight line = 180°
⇒ ∠ABC + ∠CBE = 180°
⇒ 65° + ∠CBE = 180°
⇒ ∠CBE = 115°
∠ABD and ∠CBE are vertical angles.
∠ABD = 115°
(2) In the given image ABC and DBE are vertical angles.
⇒ ∠ABC = ∠DBE
⇒ 4x° + 2° = 5x° – 13°
Arrange like terms one side.
⇒ 13° + 2° = 5x° – 4x°
⇒ 15° = x°
∠ABC = (4(15°) + 2°) = 62°
∠DBE = 5(15°) – 13° = 62°
Adjacent angles in a straight line = 180°
⇒ ∠ABC + ∠CBE = 180°
⇒ 62° + ∠CBE = 180°
⇒ ∠CBE = 118°
∠ABD and ∠CBE are vertical angles.
∠ABD = 118°
4/6 is less than or greater than 4/2
Answer:
No.
Step-by-step explanation:
4/6 as a decimal is 0.667 whereas 4/2 as a decimal is 2.
;D
The admission fee at a small fare is $1.50 for children and four dollars for adults. One certain day $5050 is collected. If 1000 adults attended the fair right and solve the Larry Quetion to find the number of children that attended
700 children attended the fair
Solution:
Let "a" be the number of children attended
Let "b" be the number of adults attended
Cost for each children = $ 1.50
Cost for each adult = $ 4
1000 adults attended the fair
b = 1000
One certain day $5050 is collected. Therefore, we frame a equation as:
number of children attended x Cost for each children + number of adults attended x Cost for each adult = 5050
[tex]a \times 1.50 + 1000 \times 4 = 5050\\\\1.5a + 4000 = 5050\\\\1.5a = 5050 - 4000\\\\1.5a = 1050\\\\Divide\ both\ sides\ by\ 1.5\\\\a = 700[/tex]
Thus 700 children attended the fair
y=2x-5
write in y=mx+b form
Showton Middle School has 840 students. Teresa surveys a random sample of 60 students and finds that 8 of them have more than 3 siblings, How many students at the school are likely to have more than 3 siblings?
Based on a sample of 60 students, where 8 have more than 3 siblings, approximately 112 students out of 840 at Showton Middle School are estimated to have more than 3 siblings.
If there are 840 students at the school, we can use this sample to estimate the total number of students likely to have more than 3 siblings across the entire school population. This is a problem related to proportions within a population.
To make this estimation, we need to set up a proportion based on the sample data:
Sample proportion of students with more than 3 siblings: 8 out of 60, or 8/60.Total number of students in the school: 840.Now we can set up a proportion:
(number of students with >3 siblings) / 840 = 8 / 60
We solve for the unknown number of students with more than 3 siblings by cross-multiplying:
(number of students with >3 siblings) * 60 = 8 * 840
(number of students with >3 siblings) = (8 * 840) / 60
(number of students with >3 siblings) = 112
Therefore, based on Teresa's sample, approximately 112 students at Showton Middle School are likely to have more than 3 siblings.
The perimeter of a park is 0.251 meters the actual perimeter of the park is 1,000 times as large what is the actual perimeter of the park
The actual perimeter of the park is 251 meters
Solution:
Given that, perimeter of a park is 0.251 meters
The actual perimeter of the park is 1,000 times as large
To find: Actual perimeter of park
From given,
Actual perimeter of park = 1,000 times as large as perimeter of park
Here, "times" means multiplication
Actual perimeter of park = 1000 x perimeter of a park
Actual perimeter of park = 1000 x 0.251
Actual perimeter of park = 251
Thus the actual perimeter of the park is 251 meters
The frog is climbing out of a well that is 50 Feet deep. The frog can climb 7 feet per hour but then a rest for an hour and it slips back 3 feet while resting. How long will it take for the frog to get out of the well?
7-3=4 feet per hour
50 : 4 = 12,5 hour
The time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.
It is given that a well has a depth of 50 feet and a frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.
We have to find out what time will it take for frog to get out of the well ?
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
The frog starts from the bottom of the well.
It is given that the well has a depth of 50 feet.
Frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.
Let's check distance covered by frog in 2 hours ;
1st hour = 7 feet
2nd hour = 7 - 3 = 4 feet
So ,
In 2 hours frog covers a distance of 4 feet.
Hence ,
To climb 44 feet or 4 × 11 feet , the frog will take 2 × 11 or 22 hours
and
To climb rest of 6 feet distance , the frog would take [tex]\frac{6}{7}[/tex] of an hour.
Also ;
It is needed to be mentioned that once the frog reaches at the top of well it won't slip back.
So ,
The total time taken by frog to climb 50 feet deep well will be ;
= [tex]22\frac{6}{7}[/tex] hours
Thus , the time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.
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Need help please. Thanks so much.
Answer:
[tex](-1,\frac{17}{6})[/tex]
[tex](3,\frac{3}{2})[/tex]
[tex](-5,\frac{25}{6})[/tex]
Step-by-step explanation:
The given equation is [tex]2x+6y=15[/tex]
We substitute the ordered pairs to see which ones satisfies the equation.
For (-1,-8), we put x=-1 and y=-8 to get:
[tex]2(-1)+6(-8)=^?15[/tex]
[tex]-2+-48=^?15\\-50=^?15[/tex]
This is not true.
For [tex](-1,\frac{17}{6}))[/tex] we put x=-1 and [tex]y=\frac{17}{6}[/tex] to get
[tex]2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15[/tex]
This is true
For (3,3/2) we have 2(3)+6(3/2)=15
This implies 6+9=15
15=15
This is also True
For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15
This is also true.
Which expression is equal to (6•5)^4
3. What value of y makes this true?
25 - y<15
A. 8
B. 9
C. 10
D. 11
To figure out which value of y makes this true, plug in each option:
y = 8
25 - y < 15 Plug in 8 for y
25 - 8 < 15
17 < 15 This is false because 17 is not less than 15
y = 9
25 - y < 15 Plug in 9 for y
25 - 9 < 15
16 < 15 This is false because 16 is not less than 15
y = 10
25 - y < 15 Plug in 10 for y
25 - 10 < 15
15 < 15 This is false because 15 can't be less than itself (15)
y = 11
25 - y < 15 Plug in 11 for y
25 - 11 < 15
14 < 15 This is true because 14 is less than 15
Your answer is D
What percent of the 2019 world population lives in Canada? Round the percentage to three decimal places.
Population in Millions
World: 7,691
Canada: 37.4
0.486 % of world population lives in canada
Solution:
From given,
World population = 7691 million
Canada population = 37.4 million
We have to find the percent of world population lives in canada
Let "x" be the percent of world population lives in canada
Therefore, from question,
x % of world population = canada population
x % of 7691 = 37.4
Solve the above equation for "x"
[tex]x \% \times 7691 = 37.4\\\\\frac{x}{100} \times 7691 = 37.4\\\\7691x = 3740\\\\Divide\ both\ sides\ by\ 7691\\\\x = \frac{3740}{7691}\\\\x = 0.486[/tex]
Thus 0.486 % of world population lives in canada
STATE -The Martins bought a condominium for $145,000. Assuming
that the value of the condo will appreciate at most 5% a year, how much
will the condo be worth in 5 years?
The future value of a condominium bought for $145,000 with a 5% annual appreciation over 5 years is calculated using the compound interest formula, resulting in a value of approximately $185,061.
The question is asking us to calculate the future value of an investment in real estate, specifically a condominium that was bought for $145,000 with an annual appreciation rate of 5% over a span of 5 years. To find the value of the condo in 5 years, we use the formula for compound interest, which is:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for in years.
Since the appreciation is compounded annually, n is 1. So, we can simplify the formula to:
[tex]A = P(1 + r)^t[/tex]
Substituting the given values:
[tex]A = $145,000(1 + 0.05)^5[/tex]
Now, let's calculate the future value:
[tex]A = $145,000(1.05)^5[/tex]
A = $145,000(1.2762825)
A ≈ $185,061
The condominium will be worth approximately $185,061 in 5 years.
The table shows the mean monthly temperatures in Alcudia for the last 2 years in degrees Celsius. °C Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Last Year 9 10 11 14 19 22 27 29 21 18 11 6 2 Years Ago 7 11 10 13 17 23 25 25 20 18 12 9. What was the modal temperature last year?
Answer:
The modal temperature last year is 11 (March and November)
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
A year ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
9 10 11 14 19 22 27 29 21 18 11 6
2 years ago Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
7 11 10 13 17 23 25 25 20 18 12 9
2. What was the modal temperature last year?
Let's recall the mode of a data set is the number that occurs most frequently in the set. The number that occurs the most in the average temperatures last year is 11 (March and November) and 2 years ago is 25 (July and August)
The base of an isosceles triangle is 7 units.
What could the length of the other sides be?
In an isosceles triangle with a base of 7 units, the two other sides have to be greater than 3.5 units but less than 7 units due to the triangle inequality theorem, which means each side must always be shorter than the sum of the other two sides.
Explanation:An isosceles triangle is a triangle with two sides of equal length. If the base of the triangle is 7 units, the lengths of the other sides could be any value greater than 3.5 units but less than 7 units. This principle is rooted in the triangle inequality theorem which states that any side of a triangle always needs to be shorter than the sum of the other two sides.
So in this case, since the base is 7 units, the other two equal sides (let's call them 'a' and 'b') could be, for example, 5 units each, but don't forget they must fulfill two conditions: firstly, 'a' + 'b' > 7 (which is true if both 'a' and 'b' are more than 3.5 units), and secondly, 'a' + 7 > 'b' as well as 'b' + 7 > 'a' (which are true as long as 'a' and 'b' are less than 7 units). Consequently, both 'a' and 'b' could be a range of lengths, but they must be greater than 3.5 units and less than 7 units in order to ensure that the triangle inequality theorem is respected.
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Use the order pairs to find the linear equation in slope intercept form
(0,10) & (3,2)
[tex]y = \frac{-8}{3}x + 10[/tex] is the equation in slope intercept form
Solution:
Given points are (0, 10) and (3, 2)
We have to find the slope intercept form
Let us first find the slope of line
The slope of line is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
[tex](x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)[/tex]
Substituting the values we get,
[tex]m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}[/tex]
The equation of line in slope intercept form is given as:
y = mx + c ------- eqn 1
Where, "m" is the slope of line and "c" is the y intercept
Substitute [tex]m = \frac{-8}{3}[/tex] and (x , y) = (0, 10) in eqn 1
[tex]10 = \frac{-8}{3} \times 0 + c\\\\c = 10[/tex]
[tex]Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1[/tex]
[tex]y= \frac{-8}{3}x + 10[/tex]
Thus the equation of line in slope intercept form is found
counting back from 5 what number follow 4
Answer:
5 4 3 2 1
Step-by-step explanation:
is this what ur asking
The answer is 3. Counting backwards (In this case) would be 5, 4, 3, 2, 1. After 4, when counting backwards, comes the Number 3. So, your answer is 3.
Need the answer urgently
Shade the amount of pie given in the mixed number. There may be more pies than you need.
81) The figure below is a trapezoid.
What appears to be true about this trapezoid's sides?
A) LM || NO
B) NO = LM
C) MN I NO
D) LO || MN
Answer:
A) LM || NO
Step-by-step explanation:
In a trapezoid one pair of opposite sides is always parallel.
Here, in the given figure, LM is parallel to NO
A) LM || NO is the correct answer.
What is the answer to this inequality -45x+12<112?
The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].
Step-by-step explanation:
Given inequality is;
-45x+12<112
For solving the inequality, we will subtraction 12 from both sides in step 1;
[tex]-45x+12-12<112-12\\-45x<100[/tex]
Now, we will divide both sides by -45
[tex]\frac{-45x}{-45}<\frac{100}{-45}\\\\x<-\frac{100}{45}\\\\x<-\frac{20}{5}[/tex]
The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].
Keywords: inequality, division
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Solve the equation 3x - 13y = 2 for x.
Hey there!
To solve for x, you must isolate the x term. To do so, first add 13y to both sides so you can leave 3x isolated on one side:
3x - 13y + 13y= 2 + 13y
3x= 2 +13y
Now, divide both sides by 3 to isolate the x variable and get your final answer:
(3x)/3 = (2 + 13y)/3
x = [tex]\frac{2 + 13y}{3}[/tex]
The equation could also be written as x= [tex]\frac{2}{3}+\frac{13y}{3}[/tex] if you choose to separate the 2 and 13y.
I hope this helps!
Answer:
[tex]x = \frac{2 + 13y}{3} \\ [/tex]
Step-by-step explanation:
[tex]3x - 13y = 2 \\ 3x = 2 + 13y \\ \frac{3x}{3} = \frac{2 + 13y}{3} \\ x = \frac{2 + 13y}{3} [/tex]
hope this helps
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good luck! have a nice day!
A rectangular table has a border of same-sized square tiles. The rectangle has 10 tiles along the length and 6 tiles along the width for a total of 28 total tiles. Notice that 10 + 10 + 6 + 6 ≠ 28. If the rectangular table has L tiles along the length and W tiles along the width, which of the following expressions represents the total number of tiles in the border?
l. 2l + 2w
II. 2l + 2w + 4
III. 2l + 2w - 4
IV. 2(1-2) + 2(w-2)+4
A. I only B. II and IV only C. III only D. III and IV only
Answer:
IV. 2(1-2) + 2(w-2)+4
Step-by-step explanation:
III. 2l + 2w - 4
Round 86 to the nearest 10
Answer:
90
Step-by-step explanation:
"The answer is 90.
To round 86 to the nearest ten, one must look at the digit in the ones place, which is 6 in this case. Since 6 is greater than or equal to 5, the number in the tens place is increased by one. The digit in the tens place is 8, so when it is increased by one, it becomes 9. Therefore, 86 rounded to the nearest ten is 90."
on the subway 8 out of 11 people are carrying a briefcase. Based on the information, if there are 700 people on the subway, then about how many do not have a briefcase?
Answer:
About 191 people
Step-by-step explanation:
Given:
On the subway 8 out of 11 people are carrying a briefcase.
There are 700 people on the subway.
Question asked:
About how many people do not have a briefcase ?
Solution:
By applying unitary method:
Out of 11 people, number of people having briefcase = 8
Out of 1 , number of people having briefcase = [tex]\frac{8}{11}[/tex]
Out of 700 people, number of people having briefcase = [tex]\frac{8}{11} \times700\\[/tex]
= [tex]\frac{5600}{11}[/tex]
Number of people not having briefcase = [tex]700 -[/tex][tex]\frac{5600}{11}[/tex]
= [tex]\frac{7700-5600}{11}[/tex]
= [tex]\frac{2100}{11}[/tex] = [tex]190.90[/tex]
Therefore, about 191 people do not have a briefcase on the subway.
Final answer:
To find how many people do not have a briefcase out of 700, calculate the number of people with a briefcase and then subtract that from the total.
Explanation:
On the subway 8 out of 11 people are carrying a briefcase. This can be represented as 8/11 of the people have a briefcase. To find out how many people do not have a briefcase out of 700 people, we can first calculate the proportion that have a briefcase and then subtract that from the total.
To find the number of people with a briefcase:
Proportion with briefcase: 8/11
Number with briefcase out of 700: (8/11) x 700 = 509.09 (round down to 509)
Therefore, the number of people without a briefcase would be: 700 - 509 = 191 people.
What is the value of the expression (2)^6?
Does -2 4/5 + 6 1/3= 2/5
Answer:
yes.
Step-by-step explanation:
Which matrix represents A-B.
Answer Option C
Step-by-step explanation:please see attachment for explanation
Answer:
C
Step-by-step explanation:
Each element in B is subtracted from the corresponding element in A, that is
A - B
= [tex]\left[\begin{array}{ccc}3-4&-7-(-1)\\6-0&1-8\\-8-(-5)&5-3\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-1&-6\\6&-7\\-3&2\end{array}\right][/tex] → C
Lydia decides to provide cheddar cheese for the competition. She buys 4.2 kilograms for 39.90. She estimates the cost of 1 kilogram of cheese to be $1. Is her estimate reasonable?
The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Lydia decides to provide cheddar cheese for the competition. She buys 4.2 kilograms for 39.90.
She estimates the cost of 1 kilogram of cheese to be $1.
Let's check the rate of cheese. Then we have
Rate = $39.90 / 4.2
Rate = $9.5 per kilogram
The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.
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