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

The value of fraction is 6 1/4 inches are equal to 19+6/425mm.

Given that the precipitation in March was 4 3/4 inches below average and the precipitation in April was 1 1/2 inches below average.

We must determine how many inches the precipitation in March and April fell short of typical.

Add 4 3/4 inches and 1 1/2 inches to get the answer. So,

4 3/4 + 1 1/2

19+6 / 4

= + 4 312

6 1/4 inches are equal to 19+6/425mm.

six inches Therefore, the precipitation was 4 less than usual for both March and April.

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80 thousand and 8 thousand.

Using place value diagrams, we can check that the digits are in the right positions. Writing the digits in the place value chart first, followed by writing the numbers in their customary and standard form, can help you precisely determine the positional values of numbers.

Given that: we have given 88,000.

The number 88000 has two 8s, as can be seen.

One of them is located at 10,000 places, while the other is at 1,000 places.

Value of first 8 from right is

8 thousand

Values of second 8 from right is

80 thousand.

Therefore, 80 thousand and 8 thousand

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Answer: the length of the 1st side is 4 m

Step-by-step explanation:

P=a+b+c

b=a+3

c=4a

Hence,

27=a+(a+3)+4a

27=a+a+3+4a

27=6a+3

27-3=6a+3-3

24=6a

Divide both parts of the equation by 6:

4=a

Thus,

a=4 m

Answer:

½ < C

Step-by-step explanation:

that is the answer above

The value of x is 3/2.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment YW, where the length of line segment YW refers to the distance between its endpoints, Y and W.

Given that R is the midpoint of YW

RY = 11x + 46 and RW = 3x + 58.

Y______________R______________W

⇒ YW = RY + RW

Since R is the midpoint of YW,

So RY = RW

Substitute the values of RY = 11x + 46 and RW = 3x + 58,

⇒ 11x + 46 = 3x + 58

Rearrange the terms of the above equation and solve for x,

⇒ 11x - 3x = 58 - 46

⇒ 8x = 12

⇒ x = 12/8

⇒ x = 3/2

Hence, the value of x is 3/2.

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The question seems to be incomplete the correct question would be

If R is the midpoint of YW.

Determine the value of x if RY = 11x + 46 and RW = 3x + 58.

Answer:

It's the first option, if you simplify 6 by 4, its 1 1/2 and first option is also 1 1/2 the last option is also equivalent

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

By elimination, the solution of the system of equations, x - 2y + 3z = 12, 2x - y - 2z = 5 and 2x + 2y - z = 4, is (4 , -1 , 2).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Given:

x - 2y + 3z = 12     (equation 1)

2x - y - 2z = 5     (equation 2)

2x + 2y - z = 4     (equation 3)

Using the elimination method, given the equations in x, y, and z, a variable should be eliminated by adding/subtracting the equations.

Adding equations 1 and 3 will eliminate the variable y.

x - 2y + 3z = 12     (equation 1)

2x + 2y - z = 4     (equation 3)

3x       + 2z = 16     (equation 4)

Multiply equation 2 by 2 and add with equation 3.

2x - y - 2z = 5     (equation 2)

⇒ 4x - 2y - 4z = 10

+  2x + 2y -   z = 4     (equation 3)

   6x        - 5z = 14     (equation 5)

Multiply equation 4 by 2 and subtract with equation 5.

3x + 2z = 16     (equation 4)

⇒ 6x + 4z = 32

-   (6x - 5z = 14)    (equation 5)

9z = 18

z = 2

Substitute the value of z to either equation 4 or 5 and solve for x.

3x + 2z = 16     (equation 4)

3x + 2(2) = 16

3x = 16 - 4

3x = 12

x = 4

Finally, substitute the value of x and z to any of the first three equations, and solve for y.

x - 2y + 3z = 12     (equation 1)

4 - 2y + 3(2) = 12

-2y = 12 - 4 - 6

-2y = 2

y = -1

Hence, the solution of the system of equations is (4 , -1 , 2).

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Answer:

81°

Step-by-step explanation:

Let the angle be x. Then,

According to question,

=> 180 - x - 10(90 - x) = 9

=> 180 - x - 900 + 10x = 9

=> 9x - 720 = 9

=> 9x = 729

=> x = 81

The measure of the angle is 81° (ans)

Answer:

81°

Step-by-step explanation:

Definitions

Complementary angles:  Two angles whose measures sum to 90°.

Supplementary angles:  Two angles whose measures sum to 180°.

Define the unknown angle

Therefore:

If the measure of the supplement exceeds 10 times the measure of its complement by 9:

⇒ supplement = 10 × complement + 9

⇒ (180 - x) = 10(90 - x) + 9

⇒ 180 - x = 900 - 10x + 9

⇒ 180 - x = 909 - 10x

⇒ 180 - x + 10x = 909 - 10x + 10x

⇒ 180 + 9x = 909

⇒ 180 + 9x - 180 = 909 - 180

⇒ 9x = 729

⇒ 9x ÷ 9 = 729 ÷ 9

⇒ x = 81

Therefore, the measure of the angle is 81°.

Slope-intercept form, y = mx + b, of linear equations, emphasizes the slope and the y-intercept of the line.

The cost to hire the studio engineer for 17 hours is $ 1164.

Let x be the time measured in hours and y be the total cost in dollars if two different costs are provided. This problem has been solved with the help of slope-intercept form, y = mx + b.

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given exists even the y-intercept (0, b). In the formula, b represents the y value of the y-intercept point.

Slope-intercept form, y = mx + b, of linear equations, emphasizes the slope and the y-intercept of the line.

From the given information, we get

W = 450 + 42 [tex]*[/tex] 17

= $ 1164

The cost to hire the studio engineer for 17 hours is $ 1164.

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Answer: Options 3, 4, 6

Step-by-step explanation:

[tex]4x-y=6 \\\\-4x+y=-6\\\\y=4x-6[/tex]

This means are looking for lines with a slope of 4 (since parallel lines have the same slope).

Answer:

b=95

Step-by-step explanation:

180=34+(b-30)+(b-14)

190=2b

b=95

34+(95-30)+(95-14) = 180

Answer:

b-30+b-14+34=180

2b+4-14=180

Step-by-step explanation:

2b=190 ,b=95

The company profit approximately increased by E) 70%.

An approximation is an equivalent value or number obtained by rounding off to the required significant figure.

The result obtained through approximation is not an exact value but is the nearest rounded value.

For instance, 71.4% can be approximated to 71% or 70%.  58 minutes can be rounded off or approximated to 1 hour.

Profit in 3 months = $3,500

Profit in 6 months = $6,000

Increase in profit = $2,500 ($6,000 - $3,500)

Percentage increase in profit = 71.43% ($2,500/$3,500 x 100)

71.43% ≈ 70%

Thus, the company profit approximately increased by E) 70%.

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Answer:

7.2

Step-by-step explanation:

7.4-0.2=7.2

Answer: x+(x/2 + 3)=180 ==> 1st option

62 degrees ==> smaller angle

118 degrees ==> Larger angle

Step-by-step explanation:

x=one angle

y=1/2 x + 3

x+y=180 ==> supplementary angles add up to 180 degrees.

x+(1/2 x + 3)=180

x+(x/2 + 3)=180 ==> 1st option

x+x/2 + 3=180

2x/2 + x/2 + 3=180

(2x+x)/2 + 3=180

3x/2 + 3=180

3x/2=177

3x=354

x=118 degrees ==> Larger angle

x/2 + 3=

118/2 + 3=

59+3=62 degrees ==> smaller angle

Answer:

6 is the y intercept and 1 is the slope, so it goes up 1 unit right 1 unit

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: x=-3/4

Step-by-step explanation:

12-x=15+3x

12-x+x=15+3x+x

12=15+4x

12-15=15-15+4x          ==> isolate the variable x.

-3=4x

4x/4=-3/4

x=-3/4

Answer:

Antibiotic

Step-by-step explanation:

Alexander Fleming discovered penicillin, the most important drug that destroys bacteria within the human body. This discovery has led to the prevention of many diseases and untimely deaths in society. He was a pharmacologist, botanist, and biologist that won a Nobel Prize in Physiology for his major contributions in developing antibiotic substances.

Here are some steps in the photo.

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Source of the photo: Calculator Soup

1)The neighborhood park is 60m by 50 m. The park is reduced in size by 321m2 as a portion of it is ripped up to create a uniform-width sidewalk around it. What quadratic equation best captures the circumstances?

2)A rectangle's length is 1 m less than twice its width. The rectangle has a 120 m2 area. What quadratic equation best describes the circumstances?

Answer for the first question is the quadratic equation is [tex]4x^{2} -220x+321=0\\[/tex].

Answer for the second question is The quadratic equation is [tex]x^{2} -x-120=0[/tex].

1)Let 'x' stand in for the sidewalk's width.

The area of the park is: [tex]A_{1} =60\times50[/tex]

The reduced area of the park measures

60-2x by 50-2x with area of [tex]A_{2} =(60-2x)(50-2x)[/tex]

[tex]A_{1} -A_{2} =321[/tex]

[tex]60\times50-(60-2x)(50-2x)=321[/tex]

[tex]3000-(60-2x)(50-2x)=321\\3000-(3000-120x-100x+4x^{2} )=321\\220x-4x^{2} =321\\4x^{2} -220x+321=0\\[/tex]

Therefore, the quadratic equation is [tex]4x^{2} -220x+321=0\\[/tex].

2) Given that,

Width=x.

length=2x-1

Area=120[tex]m^{2}[/tex]

We know area=length[tex]\times[/tex]width

120=x(x-1)

[tex]x^{2} -x=120\\x^{2} -x-120=0[/tex]

Therefore, The quadratic equation is [tex]x^{2} -x-120=0[/tex].

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The formula to find the sum of an arithmetic sequence: Sn = n/2[2a + (n - 1)d], where a is the first term, n is the number of terms and d is the common difference.

1) Let's substitute the values into the formula.

S17 = 17/2[2(11) + (17 - 1)6]

S17 = 17/2[22 + (16)6]

S17 = 17/2[22 + 96]

S17 = 17/2[118]

S17 = 17/2 × 118

S17 = 1003

Therefore, the sum of the first 17 terms of this arithmetic sequence is 1003.

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Answer:

12

Step-by-step explanation:

Answer:

can you maybe explain it  a little more?

Step-by-step explanation:

Fold the triangles to find their circumcenter (by making perpendicular bisectors), incenter (by making angle bisectors), centroid (by constructing medians), and orthocenter (using a different piece of patty paper for each equilateral triangle) (by making the altitudes of each side).

A triangle's three angle bisectors are concurrent in a point equidistant from its sides. The incenter of a triangle is the point where the angle bisectors of a triangle intersect. The incenter is always found within the triangle.

The circumcenter of a triangle is the point where the three perpendicular bisectors meet. It is the circumcenter of the circle circumscribed around the triangle, which is equidistant from the triangle's three vertices.

Fold the triangles to find their circumcenter (by making perpendicular bisectors), incenter (by making angle bisectors), centroid (by constructing medians), and orthocenter (using a different piece of patty paper for each equilateral triangle) (by making the altitudes of each side).

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In mathematics, the logarithm is the reciprocal of a power. This means that the logarithm of a given number x is the exponent by which another fixed number (the base b) must be increased to get that number x. The simplest logarithm counts the number of times the same element occurs when multiplying repeatedly. The logarithm of x to base b is denoted by log b (x), or log b x without parentheses. Also, if confusion is impossible or the base doesn't matter, log x shows that even without an explicit base: B. In big O notation.

Logarithm base 100 of 100 is 1.

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Answer: rational

Step-by-step explanation:

Answer:

x=-15 and x=-15

Step-by-step explanation:

We try to move everything from the left to the right starting with the number that is further away from x, so 4. We subtract it from both sides.

1/3|x-3|+4-4=10-4

1/3|x-3|=6

Next, we have the fraction so basically, 1 is being divided by 3 so we are going to multiply both sides by three.

1/3|x-3|×3=6×3

|x-3|=18

We get rid of the absolute value signs to get

x-3=18

But we are not sure if 18 is negative so we put it like this.

x-3=-18

x-3=18

Then we add 3 from both sides.

x-3+3=-18+3

x-3+3=18+3

Which equals:

x=-15

x=21

Hope this helped! :)

15 is the number of possible outcomes.

To find the possible outcomes:

Given: 5 flavors and ice cream of 3 different toppings.

Therefore, the number of possible outcomes is 15.

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Considering the definition of an equation and the way to solve it, the cost of 2 pounds(lb) of the first type of candy is $4 per pound.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it (this is, the equality must be true).To solve an equation, keep in mind:

Knowing that:

the equation in this case is:

2x + 3×1.50 = 2.50×(2 + 3)

Solving:

2x + 4.5= 12.5

2x= 12.5 - 4.5

2x= 8

x= 8÷ 2

x=4

Finally, the cost of 2 pounds(lb) of the first type of candy is $4 per pound.

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Binary relation  is a function .

Functions are relationships where each input has a single output. There is one output for each input in a relation that passes the vertical line test.

How can I tell if a relationship serves a purpose?

A relation is considered to be a function if each element in the domain is mapped to a distinct element in the codomain.

What are the characteristics of a binary relation?

Binary relationship A subset of P x Q from the set P to Q is defined as R. If (a, b) R and R P x Q, then a and b are connected by R, or aRb. When sets P and Q are equal, we say that R is a relation on P, for example.

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The given sequence 100,117,134,151,168, ........... is in AP. The next three terms are 185, 202, 219..

The difference between two numerical orders is a constant value in Arithmetic Progression (AP). Another name for it is Arithmetic Sequence.

We'd emerge across a few fundamental words in AP that have been labeled as:

The AP can also be described in terms of common differences, as shown below.

Now, the given sequence is; 100,117,134,151,168, ...........

The series comprises of five given terms.

Let the initial term be 'a₁' = 100.

The second term be 'a₂' = 117.

The third term be 'a₃' = 134.

And, the fourth term is 'a₄' = 151.

The AP must have the equal common difference. So,

d = a₃ - a₂

Substitute the values.

d = 134 - 117

d = 17

Thus, the computed common difference is 17.

or d = a₄ - a₃ (Substitute the values)

d = 151 - 134

d = 17

Since, a₃ - a₂ = a₄ - a₃

Thus, we can get to know that the given sequence is in AP.

Now, the 6th term is estimated as; a₆ = a₅ + d = 168 + 17

a₆ = 185

Similarly, the 7th term will be; a₇ = a₆ + d = 185 + 17

a₇ = 202

And, the 8th term will be calculated as; a₈ = a₈ + d = 202 + 17

a₈ = 219.

Therefore, it can be said that the given sequence is in AP next three terms be 185, 202, 219.

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Answer:

bStep-by-step explanation: