Answer:
2/3*2/1
this is the answer
Answer:
2/3 × 2/1
Hope this helps :)
Explanation below.
Step-by-step explanation:
To find the multiplication expression, use the Keep, Change, Flip (KCF) method.
Anne and Katherine are both saving money from their summer jobs to buy bicycles. If Anne had $150 less, she would have
exactly as much as Katherine. And if Katherine had twice as much, she would have exactly 3 times as much as Anne. How
much money have they saved together?
$300
$400
$450
$625
$750
Dexter's family buys tickets every year for a concert. Last year they were in seats C3, C4, C5 , and C6 . This year, they will be in seats D16, D17, D18 , and D19 . Write a translation in words and using vector notation that can be used to describe the change in their seating.
A translation in words and using vector notation that can be used to describe the change in their seating as-
In words: Dexter's family move 13 seats to the right and one row back.In vector notation: < 13, -10>.What is meant by translation?In geometry, translation refers to a function which moves an object a specified distance. The object isn't otherwise altered. It has not been rotated, mirrored, or resized.
Each point of a object must be relocated in the same direction and at the same distance during a translation.When performing a translation, this same initial object is referred to as the pre-image, and also the object after the translation is referred to as the image.Now, as per the stated question.
In the previous year the seats given to Dexter's family were C3, C4, C5 , and C6.
Now, for current year, seats are at D16, D17, D18 , and D19.
Choose a seat from the new row & compare it to the seat with the previous row. Seat D16 is 13 seats to the right and 1 row back from C3.
As a result, the translation vector could be written as < 13, -10>.
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Which fraction is an improper fraction?
• 11/12
• 8/9
•11/11
•9/15
Answer:
11/11 is an improper fraction.
Step-by-step explanation:
In order for a fraction to be considered "Proper" a < b, when a/b. Meaning that the numetator must be less than the denominator.
In the case for 11/11, it does not follow these qualifications.
Hope this helps!
Determine whether the given measures define 0,1,2 , or infinitely many triangles. Justify your answers. a=10, b=15, m
We can construct an unlimited number of triangles when given only two sides and no indication of the angle, such as a = 10m and b = 15m
Consider this:
With 10m and 15m side lengths and an angle value ranging from 0 to 360 degrees, how many distinct triangles are possible?
Make one of the triangles with sides of 10 meters, 15 meters, a 30 degree angle, and a third side that may be adjusted to your preferred length using a protractor. A triangle has been built by you.
By changing the length and angle of the third side, we can produce a completely different triangle that is similar to this one.
Keep in mind that you choose the side lengths and angle. This suggests that you might make a different decision. Using the same angles, you can make an infinite number of different triangles.
As a result, using just one angle and one side length, we can create an unlimited number of triangles.
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Solve each system.
-6 = 3x - 6y , 4x = 4 + 5y
After solving each system, -6 = 3x - 6y, 4x = 4 + 5y, the values of x and y are calculated to be 6 and 4 respectively.
The two equations, -6 = 3x - 6y, and 4x = 4 + 5y can be considered as linear equations as the highest power of the variables in these equations is one.
By rearranging the first equation, the value of x can be found to be,
-6 = 3x - 6y
3x = 6y - 6
x = 6y - 6 / 3
Putting the calculated value of x in the second equation,
4x = 4 + 5y
4(6y - 6 / 3) = 4 + 5y
24y - 24 / 3 = 4 + 5y
24y - 24 = 3 ( 4 + 5y)
24y - 24 = 12 + 15y
Rearranging,
24y - 15y = 12 + 24
9y = 36
y = 36 / 9
y = 4
To solve for x, put y = 4 in the first equation as follows,
-6 = 3x - 6y
-6 = 3x - 6(4)
-6 = 3x - 24
Rearranging,
24 - 6 = 3x
18 = 3x
x = 18/3
x = 6
Thus the value of x and y in these systems are calculated to be 6 and 4 respectively.
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Twelve is greater than the sum of 6 and a number.
012>6+n
O 12<6n
012<6+n
12 >6n
Answer:
12<6+n
this is the answer
A dance group of 17 teenagers had a mean mass of 44.5kg. to enter a competition there needs to be 18 people in the group with an average mass of 44.4kg or less. what is the maximum mass that the 18th person could be
Answer:
Step-by-step explanation:
so first it would be -0.1 but that means you need to remove the 17th person and get 2 really light people because one can not be negative hope this helps
Find the measures of the sides of ΔX Y Z and classify
triangle by its sides.
x(7,6), y(5,1), Z(9,1)
The triangle is an isosceles triangle with sides XY and XZ equal to [tex]\sqrt{29}[/tex] units and side YZ as 4 units.
Given that:-
Coordinates of X = (7,6)
Coordinates of Y = (5,1)
Coordinates of Z = (9,1)
We have to find the measures of the sides of ΔXYZ and classify the triangle by its sides.
Using distance formula, we can find the measure of the sides of the triangle.
Distance formula for the line segment with points (a,b) and (c,d):-
[tex]\sqrt{(d-b)^2+(c-a)^2}[/tex]
Hence,
XY = [tex]\sqrt{(1-6)^2+(5-7)^2} =\sqrt{25+4} =\sqrt{29}[/tex] units.
YZ = [tex]\sqrt{(1-1)^2+(9-5)^2} =\sqrt{0+16} =\sqrt{16}[/tex] = 4 units.
XZ = [tex]\sqrt{(1-6)^2+(9-7)^2} =\sqrt{25+4} =\sqrt{29}[/tex] units.
Here,
XY = XZ, hence it is an isosceles triangle.
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Zach found four consecutive odd integers such that 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth. What were the integers?
Answer:
3, 5, 7, 9
Step-by-step explanation:
Give Brainliest if I helped!
The four consecutive odd integers that Zach found are x, x + 2, x + 4, and x + 6 are -11, -9, -7, and -5.
To solve this problem, set up equations based on the given information.
"5 times the sum of the first and the third":
[tex]5(x + x + 4)[/tex]
"the product of 8 and the sum of the second and the fourth":
[tex]8((x + 2) + (x + 6))[/tex]
According to the problem, the first equation should be 22 greater than the second equation:
[tex]5(x + x + 4) = 8((x + 2) + (x + 6)) + 22[/tex]
Next, simplify and solve the equation:
[tex]5(2x + 4) = 8(2x + 8) + 22[/tex]
Remove the bracket by multiplying the terms:
[tex]10x + 20 = 16x + 64 + 22[/tex]
Take the variables to LHS and constants to other side and solve it:
[tex]6x = -66[/tex]
On dividing by 6 on both sides:
x = -11
Now that the value of x, and find the four consecutive odd integers:
x = -11
On substituting x value in the following terms:
[tex]x + 2 = -11 + 2 \\= -9\\x + 4 = -11 + 4\\ = -7\\x + 6 = -11 + 6 \\= -5[/tex]
Therefore, the four consecutive odd integers are -11, -9, -7, and -5.
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geometry
through: (1,4), slope=6
Answer:
Step-by-step explanation:
Point slope form y-y₁ = m(x-x₁)
y-4 = 6(x + 1)
y-4 = 6x + 6
y = 6x + 10
The operator *= is called a(n) _____ operator.
a) increment
b) multiple assignment
c) double compound
The operator *= is called multiple assignment operator.
How to determine the name of the operator?The operator is given as
*=
Take for instance, we have the following statement in Python
a *= b
The meaning of the above statement is
a = a * b
Assume the following values for the variables
a = 6 and b = 3
The value of the operation a *= b would be
a *= b --- given expression
a = a * b --- expanded expression
a = 6 * 3 ---- when the values are substituted
a = 18 --- the result
This implies that the operator represents an assignment and a multiply operator
Hence, the operator *= is called multiple assignment operator.
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PLEASEEE HELP!!!!! I’m desperate!
What is the product of a number and 14 plus 10, written as an algebraic expression?
10(x + 14)
10x − 14
14 ÷ x − 10
14x + 10 please give me the answer i need help
Answer:
14x+10
Step-by-step explanation:
The product means multiplication
Answer:
D 14x+10
Step-by-step explanation:
Somerville has a population of 38,400 people. The town has been seeing its population decline by 3% every year. If this trend continues, what will the population be in 3 years?
The population of Somerville is approximately 35047 after a depreciation of of 3% every year .
Depreciation is economics refers to two different aspects of the same idea: first, the actual decline in an asset's fair value as it is used and worn, such as the annual decline in value of factory equipment; and second, the allocation in accounting statements of the asset's original cost to the periods during which it is used.
Here depreciation is the gradual decline in population each year in the town.
The rate of depreciation or decline is the percentage amount of population that decreases every year.
The formula used to calculate depreciation is given by:
[tex]A=P(1-r)^t[/tex]
Given the rate of depreciation as 3%.
Population at present = 38400
Population after 3 years:
= 38400 (1 - 0.03 )³
= 38400 ( 0.97 )³
= 35046.6432
≈ 35047
Hence the population after 3 years will be approximately 35047.
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Answer: =35047
Step-by-step explanation:
If f(x)=7-3 x and g(x)=3 x-7 , what is the value of f(1)+g(1) ?
If f(x)=7-3 x and g(x)=3 x-7 , the value of f(1)+g(1) is 0
What is function composition?A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.
f(x)=7-3 x and g(x)=3 x-7
For, f(1) = 7 - 3(1)
= 7 - 3
= 4
For, g(1) = 3x - 7
= 3(1) - 7
= -4
f(1) + g(1) = 4 - 4
= 0
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You can choose between two tennis courts at two university campuses to learn how to play tennis. One campus charges 25 per hour. The other campus charges 20 per hour plus a one-time registration fee of 10 .
c. If you want to practice for a total of 10 hours, which university campus should you choose? Explain.
I should choose second or other campus, as it is cost effective.
We will begin with forming the equation according to the information provided in question. Let us represent the number of hours with t.
Cost on choosing first or one campus to play tennis-
Cost = 25 × t
Cost on choosing second or other campus to play tennis -
Cost = 10 + 20 × t
Now finding cost on each campus for duration of ten hours.
First campus -
Cost = 25 × 10
Cost = 250
Second campus -
Cost = 10 + 20 × t
Cost = 10 + 20 × 10
Cost = 10 + 200
Cost = 210
Therefore, to practice for a total of 10 hours, I should choose second or other campus, as it is cost effective.
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Evaluate the functions
F(-2)
F(3)
F(5)
F(e+4)
Answer:
F(5)
Step-by-step explanation:
its right very sorry if its late
Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels than Plant B did. Five percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 1410 defective panels?
Plant P produced 15333 numbers of panels when the two plants together produced 1410 defective panels using unitary method.
What is unitary method?It is a method for figuring out a single unit's value, then multiplying that value by itself to get the required value.
Given data
Plant produces defective panels = 1140
Plant A produce = 5%
Plant B produce = 4%
Assume,
Number panels Plant B produce = x
Number panels Plant A produce = x - 6000
[tex]\frac{5}{100}[/tex](x) + [tex]\frac{4}{100}[/tex](x-6000) = 1140
0.05x + 0.04x - 240 = 1140
0.09x = 1380
x = 15333
Plant P produced 15333 numbers of panels when the two plants together produced 1410 defective panels using unitary method.
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Given that 32 √ 2 = 2ª, find the value of a.
The value of 'a' in the given expression is 11/2.
Elaborate about the square root.The square root formula can be used to calculate the square root of any number. The square root of any number is the value that, when multiplied by itself, yields the original number. Each number has two square roots, one positive and the other negative. For example, the number four has two square roots, -2 and 2.
Given [tex]$32 \sqrt{2}=2^a$[/tex]
We can write 32 as:
32 = 2 × 2 × 2 × 2 × 2
32 = [tex]2^{5}[/tex]
We can write [tex]$\sqrt{2}=2^{1 / 2}$[/tex].
Now,
[tex]$$\begin{array}{r}32 \sqrt{2}=2^a \\2^5 \cdot 2^{1 / 2}=2^a \\2^{5+1 / 2}=2^a \\2^{1 / 2}=2^a \\\end{array}$$[/tex]
Therefore, the value of a = 11/2.
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Write an explicit formula for each sequence. 2,5,10,17, . . . .
The explicit formula for give sequence an = n² + 1:
What is an explicit formula?An arithmetic sequence has the explicit formula a = a + (n - 1)d, and each term of the series may be calculated without knowing the values of the previous terms. The nth term in an arithmetic, geometric, or harmonic series is usually the explicit formula.
a1 = (1) + 1 = 2
a2 = 2.2 + 1 = 5
a3 = 3.3 + 1 = 10
a4 = 4.4 + 1 = 17
a5 = 5.5 + 1 = 26
and so on.
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Evaluate each expression for the given value of the variable. y²+3 ; y= √7
The result of the expression [tex]y^{2}+3[/tex] for the variable y= [tex]\sqrt{7}[/tex] is 10
Given,
The algebraic expression = [tex]y^{2}+3[/tex]
The value of y = [tex]\sqrt{7}[/tex]
Substitute the values in the expression
[tex]y^{2}+3=(\sqrt{7} )^{2}+3[/tex]
=7+3
=10
Hence, the result of the expression [tex]y^{2}+3[/tex] for the variable y= [tex]\sqrt{7}[/tex] is 10
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Use the given information to write an equation of a circle.
center at (0,0) , radius 6
The equation of the circle with radius 6 and center at (0 , 0) is x^2 + y^2 = 36.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = 6
(x - 0)^2 + (y - 0)^2 = 6^2
x^2 + y^2 = 36
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You invested money in a fund and each month you receive a payment for your investment. Over the first four months, you received $ 50, $ 52, $ 55 , and $ 59 . If this pattern continues, how much will you receive in the tenth month?
a. Write a formula to describe this sequence.
Money received in tenth month: $104.
A formula that describes this arithmetic sequence: [tex]a_n=a_{n-1}+n[/tex], n > 1., where n = number of month.
What is arithmetic progression?A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
Money received in first four months: $50, $52, $55, %59.
To find: Money received in tenth month.
Finding:
As we can see, the pattern followed here is: increment in each amount received each month by $1. Thus it is an arithmetic progression.
That is: 50, 52 (0+2), 55 (2+3), 59 (2 + 3 + 4) and so on.
Thus, for the tenth month, we can use the formula of recursion, given by: [tex]a_n=a_{n-1}+n[/tex], n ≥ 1.
For a₁ = 50, a₂ = a₁ + 2
=> a₂ = 50 + 2
This way, a₅ = a₄ + 5
=> a₅ = 59 + 5 = 64
a₆ = a₅ + 6
=> a₆ = 64 + 6 = 70
a₇ = a₆ + 7
=> a₇ = 70 + 7 = 77
a₈ = a₇ + 8
=> a₈ = 77 + 8 = 85
a₉ = a₈ + 9
=> a₉ = 85 + 9 = 94
a₁₀ = a₉ + 10
=> a₁₀ = 94 + 10 = 104
Thus, the payment received in tenth month will be $104.
A formula that describes this arithmetic sequence: [tex]a_n=a_{n-1}+n[/tex], n > 1., where n = number of month.
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FH bisects ZEFG. Find the indicated angle measures.
m/EFG = 119 °. Find m/EFH and m/GFH.
m/EFH =
m/GFH =
The measures of the indicated angles are
m ∠EFH = 59.5°
m ∠GFH = 59.5°
Calculating anglesFrom the question, we are to determine measures of the indicated angles
The angles are ∠EFH and ∠GFH
From the given information,
FH bisects ∠EFG
Since FH bisects ∠EFG,
Then,
m ∠EFH = m ∠GFH
and
m ∠EFH + m ∠GFH = m ∠EFG
Then,
We can write that
m ∠EFH + m ∠EFH = m ∠EFG
2 × m ∠EFH = m ∠EFG
2 × m ∠EFH = 119°
m ∠EFH = 119°/2
m ∠EFH = 59.5°
Thus,
m ∠GFH = 59.5°
Hence, the measures of the indicated angles are
m ∠EFH = 59.5°
m ∠GFH = 59.5°
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PLEASEE HELPP. Im rlly struggling please help if you can. with steps
Answer:
lol
Step-by-step explanation:
L O LDJDDHDHDHDHFFHFVDVDVDBSSBDBDBDBD
Latasha is baking cookies. The radius of each cookie is 9 centimeters.
What is the area of each cookie?
Use 3.14 for pi and round your answer to the nearest tenth.
PLEASE HELP!!!!
Answer:
The area of each cookie is 254.3
two cars travel down the highway at the same speed. if the first car travels 10 kilometers per hour faster than its current speed and the second car travels 10 kilometers per hour slower than its current speed than the first car would travel in two hours the same distance the second car would travel in thee hours. what is the original speed of the cars?
Answer:
The original speed of the cars is 50 km/hStep-by-step explanation:
Let the original speed of the cars be x.
The first carWhen speed is x + 10 the distance in two hours is:
2(x + 10)The second carWhen speed = x - 10 the distance in three hours is:
3(x - 10)Since the distance is same in both cases, set them equal and solve for x:
2x + 20 = 3x - 303x - 2x = 20 + 30x = 50The original speed of the cars is 50 km/h
Answer:
Original speed = 50 km/h
Step-by-step explanation:
Given that,
→ first car travels 10 km faster than its current speed. It would travel in two hours the same distance.
→ second car travels 10 km per hour slower than its current speed. It would travel in 3 hours the same distance.
Then the equation will be,
→ 2(x + 10) => 1st car
→ 3(x - 10) => 2nd car
→ 2(x + 10) = 3(x - 10)
Now the original speed of the cars is,
→ 2(x + 10) = 3(x - 10)
→ 2x + 20 = 3x - 30
→ 2x - 3x = -30 - 20
→ -x = -50
→ [ x = 50 km/h ]
Hence, the original speed is 50 km/h.
whatis the answer to 4.5x=18
[tex] \large \bf \implies{x = 4}[/tex]
Step-by-step explanation:Let's solve your equation step-by-step[tex] \bf \longrightarrow{4.5x = 18}[/tex]
Divide both sides by 4.5[tex] \bf \frac{ \cancel{4.5}x}{ \cancel{4.5}} = \frac{18 }{4 \cancel{.}5} = \frac{18 \times 10}{45} = \frac{180 \div 3}{45 \div 3} = \frac{60 \div 3}{15 \div 3} = \frac{20 \div 5}{5 \div 5} = \frac{4}{1} = 4 \\ [/tex]
[tex] \large \bf \implies \boxed{x = 4} \: ans.[/tex]
Sally receives the following scores on her math tests: 78, 92, 83, 99. What score does she need on the next test in order to have an average of 90 on her math tests?
Answer:
they would need a 98 on the next math test.
Meals with a Purpose are selling to-go charcuterie boards. You can purchase a small board or a medium board. On Thursday, Meals with a Purpose sold 10 small charcuterie boards and 12 medium charcuterie boards for a total of $144. On Thursday, Meals with a Purpose sold 5 sold charcuterie boards and 9 medium charcuterie boards for a total of $93.
What is the cost of each small charcuterie boards and one medium charcuterie boards?
The cost of each small charcuterie boards is $6 and one medium charcuterie boards is $7.
How to illustrate the information?A mathematical statement known as an equation is made up of two expressions joined together by an equal sign. It is a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Let small charcuterie boards = c
Let medium charcuterie boards = m
Therefore, the equation will be:
10c + 12m = 144
5c + 9m = 93
Multiply equation i by 5
Multiply equation ii by 10
50c + 60m = 720
50c + 90m = 930
Subtract
30m = 210
m = 210/30
m = 7
Therefore, 5c + 9m = 93
5c + 9(7) = 93
5c + 63 =93
5c = 93 - 63
5c = 30
Divide both sides by 5
c = 30 / 5
c = 6
Therefore, based on the information the cost of each small charcuterie boards is $6 and one medium charcuterie board is $7.
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