Ron had some pens. 3 8 of them were black coloured, 1 4 of them were red coloured and the rest of them were blue coloured. There were 15 blue pens. How many pens did Ron have?

Answer:

(-1/4, 19/4)

Step-by-step explanation:

5x+6=9x+7

-4x=1

x= -1/4

y=5(-1/4) +6

y=19/4

I created this question to give myself points from another account in case anyone's confused

Answer: 525%

Step-by-step explanation: 5.25X100=525%

Answer:

Yes, it is a linear function.

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

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Answer: 75200

Explanation:

Because its 10^4 You just have to slide the decimal place over by 4 spaces! Leaving you with 75200

I hope this helped!

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Answer:

75200

Step-by-step explanation:

7.52 × 10^4

Calculate 10 to the power of 4.

7.52×10000

Multiply 7.52 and 10000.

75200

Therefore, your answer is 75200.

Dion's study suffers from selection bias as his sample of individuals on the beach in Miami may not be representative of the entire population's affinity for warm weather.

This is because he is only sampling residents of Miami, Florida, who are on the beach.

This group may not accurately represent the entire population's affinity for warm weather, as it excludes those who may not enjoy the beach or may not have the opportunity to visit the beach.

A more representative sample would include individuals from various locations and backgrounds to better assess the affinity for warm weather across the population.

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Answer:

i think i know 4 and 5

Step-by-step explanation:

for 5 is A,G

and for 4 its D,F

Answer:

Step-by-step explanation:

Our even numbers from 1-9 are:

The largest possible number using the even numbers once is 8642.

Hoped this helped

Answer:

\(\frac{2x+2}{4} = 2 \\2x+2= 8\\2x = 6\\x = 3\)

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (2x + 2)/4 = 2

Then the value of x will be,

→ (2x + 2)/4 = 2

→ 2x + 2 = 2 × 4

→ 2x + 2 = 8

→ 2x = 8 - 2

→ 2x = 6

→ x = 6/2

→ [ x = 3 ]

Hence, the value of x is 3.

Answer:

1) A, 2) A, 3) B, 4) D, 5) A, 6) proportion, 7) 4 : 3, 8) a) The simplest ratio of 14 : 42 is 1 : 3, b) The simplest ratio of 56 : 80 is 7 : 10, 9) a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units, b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series, 10) 4 cans of juice cost 140, 11) a) 3 : 2, b) 3 : 1, 12) The ratio of 15 centimeters to 2 meters is 3 : 40.

Step-by-step explanation:

1) The ratio is determined by following operation:

\(x = \frac{300}{100}\)

\(x = \frac{3}{1}\)

3 : 1 is the ratio of 300 to 100. (Answer: A)

2) The weight of 1 book is found by the total weight of books divided by the total amount of books, that is:

\(x = \frac{80\,kg}{20}\)

\(x = 4\,kg\)

The weight of 1 book is 4 kilograms. (Answer: A)

3) The equivalent ratio of 3 : 2 is found by multiplicating both numerator and denominator by a given positive number:  

\(x = \frac{3\times 2}{2\times 2}\)

\(x = \frac{9}{4}\)

An equivalent ratio of 3 : 2 is 6 : 4. (Answer: B)

4) The middle terms of ratio correspond with the denominator of the ratio on the left and the numerator of the ratio on the right. Hence, the middle terms of 3 : 15 = 21 : 105 are 15 and 21. (Answer: D)

5) 8 : 4 is not proportional to 8 : 16, since both numerators and denominators are not multiplied by the same number. That is:

\(x = \frac{8\times 1}{4\times 4}\)

\(x = \frac{8}{16}\)

8 : 4 :: 8 : 16 is not proportional. (Answer: A)

6) If two ratios are equal, then they are in proportion. That is:

\(a \,:\,b \,::c\,:\,d\), where \(r = \frac{c}{a} = \frac{d}{b}\), \(\forall\,r > 0\).

If two ratios are equal, then they are in proportion. (Answer: proportion)

7) The ratio of 20 boys to 15 girls is derived of 20 divided by 15 until a denominator of the least integer is found by simplifying the fraction:

\(\frac{20}{15} = \frac{4}{3}\)

The ratio of 20 boys to 15 girls is 4 : 3. (Answer: 4 : 3)

8) Express the following ratios in the simplest form:

a) \(\frac{14}{42} = \frac{7}{21} = \frac{1}{3}\).

The simplest ratio of 14 : 42 is 1 : 3.

b) \(\frac{56}{80} = \frac{28}{40} = \frac{14}{20} = \frac{7}{10}\)

The simplest ratio of 56 : 80 is 7 : 10.

9) When a series is in proportion, it must be in increasing or decreasing order at constant rate.

a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units.

b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series.

10) We determine the cost of 4 cans of juice by simple rule of three:

\(x = \frac{4\,cans}{6\,cans}\times 210\)

\(x = 140\)

4 cans of juice cost 140.

11) a) The ratio of her earning to her expenditure is:

\(x = \frac{150000}{150000-50000}\)

\(x = \frac{3}{2}\)

The earning to expenditure ratio is 3 : 2.

b) The ratio of her earning to her savings is:

\(x = \frac{150000}{50000}\)

\(x = 3\)

The earning to savings ratio is 3 : 1.

12) 1 meter equals 100 centimeters. Then, the given ratio is:

\(x = \frac{15\,cm}{200\,cm}\)

\(x = \frac{3}{40}\)

The ratio of 15 centimeters to 2 meters is 3 : 40.

The flux of the vector field v(x, y, z) = 3xy2i + 3x2yj + z3k across the unit sphere is 4π.

The flux of the vector field v(x, y, z) = 3xy2i + 3x2yj + z3k out of the unit sphere can be found using the divergence theorem, which states that the flux of a vector field across a closed surface is equal to the volume integral of the divergence of the vector field over the enclosed volume.

The unit sphere can be represented by the surface S given by the equation x2 + y2 + z2 = 1. The outward unit normal to this surface is given by the vector n = xi + yj + zk.

Using the divergence theorem, the flux of the vector field v across the surface S is given by the volume integral of the divergence of v over the enclosed volume V:

Flux = ∬_S v · n dS = ∭_V ∇ · v dV

To evaluate the integral, we first need to find the divergence of v:

∇ · v = ∂(3x\(y^{2}\))/∂x + ∂(3\(x^2\)y)/∂y + ∂(\(z^3\))/∂z

= 3\(y^2\) + 6xy + 3\(z^2\)

Next, we need to find the volume of the unit sphere:

V =∭_V dV = \($\int_{-1}^1\int_{-\sqrt{1-y^2}}^{\sqrt{1-y^2}}\int_{-\sqrt{1-x^2-y^2}}^{\sqrt{1-x^2-y^2}} dz,dx,dy$\)

= 4/3 π

Substituting the divergence and volume into the divergence theorem equation, we get:

Flux = ∬_S v · n dS = ∭_V ∇ · v dV = ∭_V (3\(y^2\) + 6xy + 3\(z^2\)) dV

= 3∭_V (\(y^2\) + 2xy + \(z^2\)) dV

= 3∭_V (\(x^2\) + \(y^2\) + \(z^2\)) dV  (by symmetry)

= 3V

= 4π

Therefore, the flux of the vector field v across the unit sphere is 4π.

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Answer: To solve the equation 16=3x-7/2, you can follow these steps:

Multiply both sides of the equation by 2 to get rid of the fraction:

16 * 2 = (3x - 7/2) * 2

32 = 6x - 7

Add 7 to both sides of the equation to isolate the term with x:

32 + 7 = 6x

39 = 6x

Divide both sides of the equation by 6 to solve for x:

39 / 6 = x

6.5 = x

Therefore, the solution to the equation 16=3x-7/2 is x = 6.5.

Step-by-step explanation:

Answer:

ㅤ

ㅤㅤ \(\large{\blue{\star} \: {\underline{\boxed{\pmb{\tt{x = \dfrac{13}{2}}}}}}}\)

ㅤ

Step-by-step explanation:

ㅤ

\(\large{\pmb{\tt{16 = 3x - \dfrac{7}{2}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{16 + \dfrac{7}{2} = 3x}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{\dfrac{2 \times 16 + 7}{2} = 3x}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{\dfrac{32 + 7}{2} = 3x}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{\dfrac{39}{2} = 3x}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{39 = 2 \times 3x}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{39 = 6x}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{\dfrac{\cancel{39}}{\cancel{6}} = x}}}}\)

ㅤ

\(\large{\purple{\boxed{\pmb{\tt{\leadsto{\dfrac{13}{2} = x}}}}}}\)

ㅤ

━━━━━━━━━━━

ㅤ

\(\large{\underline{\underline{\sf{Verification:-}}}}\)

ㅤ

• Substituting the value of (x) in the given equation,

ㅤ

\(\large{\pmb{\tt{\leadsto{16 = 3 \times \dfrac{13}{2} - \dfrac{7}{2}}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{16 = \dfrac{39}{2} - \dfrac{7}{2}}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{16 = \dfrac{39 - 7}{2}}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{16 = \dfrac{\cancel{32}}{\cancel{2}}}}}}\)

ㅤ

\(\large{\pmb{\tt{\leadsto{16 = 16}}}}\)

ㅤ

As LHS = RHS,

Hence Verified

Answer:

To find out how many 2/5 meter pieces Sven can cut off from a board that is 9/10 meters long, we need to divide the length of the board by the length of each piece.

We can convert the mixed number 2/5 to an improper fraction by multiplying the whole number 1 by the denominator 5 and adding the numerator 2, giving us 7/5.

Then, we can divide the length of the board, which is 9/10 meters, by the length of each piece, which is 7/5 meters:

(9/10) ÷ (7/5)

To divide by a fraction, we can multiply by its reciprocal:

(9/10) x (5/7)

Simplifying the fractions:

(9 x 5) / (10 x 7) = 45 / 70

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:

(45/5) / (70/5) = 9/14

Therefore, Sven can cut off 9 pieces that are 2/5 meters long from a board that is 9/10 meters long.

Step-by-step explanation:

the simple answer is that Sven can cut off 9 pieces that are 2/5 meters long from a board that is 9/10 meters long.

rate 5* for more po~

the area of the equilateral triangle using the formula for the area of a regular polygon: 43.5 units squared

The area of a customary polygon is given as:

\(=\frac{1}{2} ap\)

'a' is the apothem and 'p' is the edge.

The edge of the equilateral triangle is 3×10=30 units.

The apothem is given by:

\(a= \frac{8}{\sqrt[2]{3} }\\ \\a= \frac{10}{\sqrt[2]{3} } \\\\a=2.9\)

Consequently, the area is

1/2 * 2.9 * 30 = 43.5

On the off chance that all the polygon sides and inside points are equivalent, they are known as ordinary polygons. Instances of standard polygons are square, equilateral triangle, and so forth. In standard polygons, not exclusively are the sides consistent however the points are as well. That means they are equiangular.

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the complete question is:

Bianca calculated the height of the equilateral triangle with side lengths of 10. tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments. Then, she used the formula for area of a triangle to approximate its area, as shown below. A = one-half b h. = one-half (10) (8.7). = 43.5 units squared. Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca's answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43.5 units2. The calculated areas are .

The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

160

Step-by-step explanation:

68 + 50 + 42 = 160

add the numbers that the bar graphs stop at

HOPE THIS HELPS!!!

Answer:

36 my dude

Step-by-step explanation:

Based οn the given οptiοns, the mοst likely cοrrelatiοn value fοr this scatterplοt wοuld be r = -0.383.

Cοrrelatiοn refers tο the statistical relatiοnship between twο οr mοre variables. In οther wοrds, it measures hοw strοngly twο variables are related tο each οther. A cοrrelatiοn value ranges frοm -1 tο +1, with -1 indicating a perfectly negative cοrrelatiοn, 0 indicating nο cοrrelatiοn, and +1 indicating a perfectly pοsitive cοrrelatiοn. A cοrrelatiοn cοefficient οf 0 means there is nο linear relatiοnship between the twο variables.

The cοrrelatiοn cοefficient ranges frοm -1 tο +1, where -1 indicates a perfect negative cοrrelatiοn, 0 indicates nο cοrrelatiοn, and +1 indicates a perfect pοsitive cοrrelatiοn. Based οn the given οptiοns, the mοst likely cοrrelatiοn value fοr this scatterplοt wοuld be r = -0.383. This indicates a mοderate negative cοrrelatiοn between the variables.

The absοlute value οf the cοrrelatiοn cοefficient (0.383) suggests that the relatiοnship is nοt particularly strοng, but there is sοme evidence tο suggest that as οne variable increases, the οther variable tends tο decrease.

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Answer:

13t+5

Step-by-step explanation:

Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9% compounded annually. Therefore,  the amount available for Peter's child education will be $147,330.55.

Given that Michael is saving $7,000 per year for his child's education which will occur in 13 years. If the interest rate is 9% compounded annually,

The problem of finding the amount of money Michael will have saved in 13 years is a compound interest problem.

In this case, the formula for calculating the future value of the annuity is: $FV = A[(1 + r)n - 1] / r

where: FV is the future value of the annuity, A is the annual payment,r is the annual interest rate, and n is the number of payments.

Using the above formula; the future value of Michael's savings is:

FV = 7000[(1 + 0.09)^13 - 1] / 0.09= 7000(1.09^13 - 1) / 0.09= 147,330.55

Therefore, the amount available for Peter's child education will be $147,330.55.

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Answer: 30

Step-by-step explanation:

It to be 30 but this look hard so I’m not sure

Answer: Therefore, the simplified expression is (a + 2)/a.  

Step-by-step explanation:

To simplify the expression (2a + 4)/(5a - 3a), we first need to combine like terms in the denominator:

5a - 3a = 2a

Now, we can substitute 2a for 5a - 3a in the expression and simplify as follows:

(2a + 4)/(5a - 3a) = (2a + 4)/2a

We can simplify further by factoring out 2 from the numerator:

(2a + 4)/2a = 2(a + 2)/2a

The 2 in the numerator and the denominator cancel out, leaving us with:

(a + 2)/a

Therefore, the simplified expression is (a + 2)/a.

Answer:

m∠B = 76°

Step-by-step explanation:

\(\frac{sinB}{b}=\frac{sinC}{c}\\\\sinB=\frac{sinC}{c}(b)\\\\B=sin^{-1}(\frac{sin(29)}{9}(18))\\\\B=75.8=76\)

Therefore, m∠B = 76°.

There are 9 ways to construct a sequence using the integers 1 to 10 such that each term is either larger than all the numbers to its left or smaller than all the numbers to its left. But the final count is 2 - 2 = 0.

To construct the sequence, we start by choosing the first number. We have two options: either choose the smallest number (1) or the largest number (10). Once we have chosen the first number, we continue by selecting the second number. If we chose the smallest number (1) as the first number, then the second number must be the largest number (10). Similarly, if we chose the largest number (10) as the first number, then the second number must be the smallest number (1).

For each subsequent number, the pattern continues: if the previous number was the smallest, we choose the largest, and if the previous number was the largest, we choose the smallest.

Since we have two options for the first number and then only one option for each subsequent number, we have a total of 2 × 1 × 1 × ... × 1 = 2 × 1^8 = 2 × 1 = 2^1 = 2 possibilities. However, we need to exclude the case where all the numbers are in increasing order or all the numbers are in decreasing order, so the final count is 2 - 2 = 0.

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Answer:

51

Step-by-step explanation: