Use the number line​ below, where RS = 4y+4 ​, ST=3y+4 ​, and RT=43. a. What is the value of​ y? b. Find RS and ST.



Ignore the equation on the top just use the number line

Answer:

Step 2

1 2/3 was converted as 5/2 instead of 5/3

Step-by-step explanation:

Each batch = 1 2/3

Total = 10 5/6

Number of batches

10 5/6 : 1 2/3 =

65/6 : 5/3 =

65/6 * 3/5 =

65/10 =

6.5

Solution by Janice:

10 5/6 : 1 2/3 =

65/6 : 5/2 =

65/6 * 2/5 =

130/30 =

4 1/3

Error made at step 2:

StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5

1 2/3 was converted as 5/2 instead of 5/3

Answer:

Step-by-step explanation:

30

Step-by-step explanation:

以下の情報を添えて、このチラシを当社の登録従業員の 1 人に渡してください。 より多くのチラシを提出した先生がピザ パーティーを勝ち取ります。

If Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric

Given,

The total amount Mei spent = $66

Cost of fabric = $7.50 per yard

How many yards of fabric Mei bought= Total amount she spent / Cost of fabric

Substitute the values and divide it

How many yards of fabric Mei bought = [tex]\frac{66}{7.50}[/tex]

=8.8 yards

Hence, if Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric

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The complete sentence is 3 mi ≈ 4.827 km

The open sentence is given as:

3mi ≈ ____ km

In the standard unit of conversion, we have

1 mi ≈ 1.609 km

Multiply both sides by 3

3 * 1 mi ≈ 1.609 km * 3

Evaluate the product

3 mi ≈ 4.827 km

Hence, the complete sentence is 3 mi ≈ 4.827 km

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The weighted average of the points in the line is 7.5

The points are given as

3 and 12

The weighted average of the points in the line is calculated as

Weighted average = Sum/Count

So, we have:

Weighted average = (3 + 12)/2

Evaluate

Weighted average = 7.5

Hence, the weighted average of the points in the line is 7.5

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The probability that a gorilla will live longer than 26 years is between 15.8 and 24.2 years.

Likelihood is the part of science concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a recommendation is valid.

P (A) is the probability of an event “A”

n (A) is the number of favorable outcomes

n (S) is the total number of events in the sample space

The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates conviction. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.

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Answer:

(-3/2 ; -3/2)

Step-by-step explanation:

Midpoint (x;y)

x = (x1+x2)÷2 = (-5+2)÷2 = -3/2

y = (y1+y2)÷2 = (-7+4)÷2 = -3/2

Therefore midpoint = (-3/2 ; -3/2)

Answer:

3m + 4 is the answer obtained after combining like terms

The equivalent of the given expression ( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x ) is (6 1/4)x - 5.

Given the expression in the question;

( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x )

First, convert the mixed fractions into an improper fractions.

( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x )

( (4×2 + 1/2)x - 3 ) + ( -2 + (1×4 + 3/4)x )

( (8 + 1/2)x - 3 ) + ( -2 + (4 + 3/4)x )

( (9/2)x - 3 ) + ( -2 + (7/4)x )

Now, remove the parenthesis and collect like terms

(9/2)x - 3 + -2 + (7/4)x

(9/2)x + (7/4)x - 3 - 2

9x/2 + 7x/4 - 5

Now, add the two fractions containing x

(9x × 4)+(7x × 2)/8 - 5

( 36x + 14x )/8 - 5

50x/8 - 5

(50/8)x - 5

(25/4)x - 5

Convert 25/4 into an improper fraction

(6 1/4)x - 5

Therefore, the equivalent of the given expression ( (4 1/2)x - 3 ) + ( -2 + (1 3/4)x ) is (6 1/4)x - 5.

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Answer:

Below in bold.

Step-by-step explanation:

4(5x + 6) = 12

20x + 24 = 12

20x = -12

x = -12/20 = -3/5

-3(2x - 4) = 18

-6x + 12 = 18

-6x = 6

x = -1.

26 = 2(3x - 2)

26 = 6x -4

30 = 6x

x = 30/6 = 5.

No.

The intermediate value theorem (IVT) says that if [tex]f(x)[/tex] is continuous on [tex][a,b][/tex], and if [tex]d[/tex] is a number between

[tex]\min\{f(a),f(b)\} \le d \le \max\{f(a),f(b)\}[/tex]

then there is some [tex]c\in(a,b)[/tex] such that [tex]f(c) = d[/tex].

In this case we have for all [tex]x\in[5,6][/tex],

[tex]-5 \le f(x) \le 5[/tex]

0 falls in this range, so by continuity of [tex]f[/tex] and the IVT, there must be some number [tex]x\in(5,6)[/tex] such that [tex]f(x) = 0[/tex].

The perimeter of the triangle ABC is approximately equal to 35.633 units.

In this problem we find the locations of the three vertices of the triangle and from which we have to calculate the length of each of the three sides. The perimeter is the sum of the three lengths. First, determine the vectors of each side:

AB = (2, - 9) - (- 3, 2)

AB = (5, - 11)

BC = (0, - 10) - (2, - 9)

BC = (- 2, - 1)

AC = (0, - 10) - (- 3, 2)

AC = (3, - 12)

Second, calculate the magnitudes of the three sides:

AB = √[5² + (- 11)²]
AB = √146

BC = √[(- 2)² + (- 11)²]

BC = 5√5

AC = √[3² + (- 12)²]

AC = 3√17

Third, add the three lengths to find the perimeter:

p = √146 + 5√5 + 3√17

p ≈ 35.633

The statement reports a typing mistake that it would take a triangle for an angle, which is absurd since angles only have one vertex. Correct statement is shown below:

Find the perimeter of Δ ABC to the nearest hundred, given the coordinates of its vertices A(x, y) = (- 3, 2), B(x, y) = (2, - 9) and C(x, y) = (0, - 10).

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By using area formula, we get base is [tex]20 m[/tex]

What do you mean by area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. For instance, On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Given that:

Area of a rhombus is [tex]400 m^{2}[/tex]

Height  of a rhombus is [tex]20 m[/tex]

We know that,

Area of rhombus = base × height

Substituting area and height in above formula

[tex]400[/tex] = base × [tex]20[/tex]

∴ Base = [tex]\frac{400}{20}[/tex]

           =[tex]20[/tex]

Therefore, by using area formula, we get base of a rhombus is [tex]20 m[/tex]

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The greatest and the only common factor in the given expression 3x²y³-48y²+18x³y⁵ is 3.

So, 3x²y³-48y²+18x³y⁵:

So, we can also write the expression as:

Therefore, the greatest and the only common factor in the given expression is 3.

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Answer: $0.77

Step-by-step explanation:

1.53/2=

0.765=

0.765=$0.77

Step-by-step explanation:

multiply through by the LCM=3x-7

4(3x-7)-5=4(3x-7)

12x-28-5=12x-28

The integer coefficient of x on both sides of the equation=+12 so there's no integer solution for the equation

Analysis of data that reveals a correlation coefficient of 0.77 shows  a strong relationship between variables.

Correlation can be defined as any statistical relationship, whether causal or not, between two random variables or bivariate data. The type of correlation that we have include;

A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement while a correlation that is between 0.6 and 0.9 are classified as a strong relationship.

Hence we can conclude that analysis of data that reveals a correlation coefficient of 0.77 shows  a strong relationship between variables.

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Answer:

12a

Step-by-step explanation:

Because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.

So,

1st students measurement:

2nd students measurement:

The formula of area:

1st students measurement:

2nd students measurement:

Therefore, because of differences in the given dimensions, two students have different calculated areas when measuring the same rectangle.

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The complete question is given below:

Calculating the area of a rectangle

Your measurements Another student's measurements

Length (cm) 20.70 20.74

Width (cm) 10.44 10.46

Area (cm2)

Required:

Why might two students have different calculated areas when measuring the same rectangle?

Answer:

2(x^9)(y^2)

Step-by-step explanation:

I just did quick math on this one, but you combine like terms on the top then divide by the bottom terms...

Answer:

F ' (-12, 8)

U ' (4, 4)

N ' (-4, -16)

===================================================

Explanation:

I'm assuming the center of dilation is the origin.

Multiply each coordinate by the scale factor 2.

For point F, the x coordinate goes from -6 to  2*(-6) = -12. The y coordinate goes from 4 to 2*4 = 8

So F(-6,4) moves to F ' (-12, 8)

Use this idea for the other points.

If the center of dilation wasn't the origin, then we can't use this shortcut (not until translating the center to the origin).

Answer: 3070

Step-by-step explanation:

30 10×3=30 that how you get it

The required equation of line is: [tex](y - 4)= \frac{3}{5}(x+6)[/tex]

Given:

To find: Equation of new line

Finding:

=> y = [tex]\frac{5}{3} (1-x) = \frac{-5}{3}(x-1)[/tex]

We get: m = -5/3 and [tex](x_0,y_0)[/tex] = (1,0) for the given line.

Slope of the new line = m' = [tex]\frac{-1}{m} = \frac{3}{5}[/tex]

Hence, On substituting the values for [tex](x_0,y_0)[/tex] and m', we get the equation of the new line as:

[tex](y - 4)= \frac{3}{5}(x+6)[/tex]

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A triangle with two angles measuring 45⁰ and 92⁰ is an obtuse scalene triangle. The answer is A.

A triangle is a two-dimensional shape that has three sides and three angles. The sum of its interior angles is 180⁰.

If two angles of a triangle have measures 45⁰ and 92⁰, solving for the third angle

180⁰ = 45⁰ + 92⁰ + third angle

third angle = 43⁰

If a triangle has an angle greater than 90⁰, then it is an obtuse triangle.

If a triangle has angles less than 90⁰, then it is an acute triangle.

If a triangle has an angle equal to 90⁰, then it is a right triangle.

An isosceles triangle is a triangle with two congruent sides and congruent base angles (2 angles are equal).

An equilateral triangle is a triangle with all three sides equal and all three angles are of equal measures.

A scalene triangle is a triangle with no sides are equal and no angle are equal also.

Since our triangle has 3 unique angles: 43⁰, 45⁰, and 92⁰, with one angle greater than 90⁰, then it is an obtuse scalene triangle.

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Answer:

C

Step-by-step explanation:

Taking a square root of a number that doesn't have a square root like [tex]\sqrt{17}[/tex] will result in an infinite number of random digits which is an irrational number. Hence, C is the answer.

D isn't the answer because even though [tex]\sqrt{5}[/tex] is irrational, you're adding [tex]\sqrt{5}[/tex] and then subtracting [tex]\sqrt{5}[/tex] from the total sum. Hence the total sum would be 5+14.

5+[tex]\sqrt{5}[/tex]+14-[tex]\sqrt{5}[/tex] =5+14+[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]= 5+14 ==> 19 is a rational number

Answer:

x = -54

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex] \sf \: `-\frac{1}{3}x=18`[/tex]

Step 1: Multiply both sides by 3/(-1).

[tex] \sf( \frac{3}{ - 1} ) \times ( \frac{ - 1}{3} x) = ( \frac{3}{ - 1} ) \times (18)[/tex]

[tex] \sf \: x = - 54[/tex]

Answer:

4.875 × 105^5

Step-by-step explanation:

Sonny get 240=240 because  the cross products of the proportion are equal.

Proportion : Two ratios are said to be in proportion when the two ratios are equal.

For Example , If Smith walks 5 km in 1 hour then he will walk 25 km in 5 hours. denoted by

[tex]\frac{5}{1} =\frac{25}{5} \\ \\ 5=5[/tex].

According to the given question the equation can be written as

[tex]\frac{16}{x} =\frac{48}{15}[/tex]

Sonny substituted 5 for x in the proportion , the equation can be written as

[tex]\frac{16}{5} =\frac{48}{15} \\ \\ Doing .the .cross.product\\ \\ 16*15=48*5\\ \\ 240=240[/tex]

Therefore , Sonny get 240=240 because  the cross products of the proportion are equal.

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