Arturo has a coin collection. He keeps 11 of the coins in his box, which is 2% of the collection. How many total coins are in his collection?Multiply/scale up to solve.

1/5x+8=1/10x+9.

We move all terms to the left:

1/5x+8-(1/10x+9.)=0

The domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

Domain of the equation: 10x+9.)!=0

x∈R

We add all the numbers together, and all the variables

1/5x-(1/10x+9)+8=0

We get rid of parentheses

1/5x-1/10x-9+8=0

We calculate fractions

10x/50x^2+(-5x)/50x^2-9+8=0

We add all the numbers together, and all the variables

10x/50x^2+(-5x)/50x^2-1=0

We multiply all the terms by the denominator

10x+(-5x)-1*50x^2=0

Wy multiply elements

-50x^2+10x+(-5x)=0

We get rid of parentheses

-50x^2+10x-5x=0

We add all the numbers together, and all the variables

-50x^2+5x=0

a = -50; b = 5; c = 0;

Δ = b2-4ac

Δ = 52-4·(-50)·0

Δ = 25

The delta value is higher than zero, so the equation has two solutions

We use the following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=25−−√=5

x1=−b−Δ√2a=−(5)−52∗−50=−10−100=1/10

x2=−b+Δ√2a=−(5)+52∗−50=0−100=0

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The area of square EFGH is 68 square centimeters

The area of a geometric shape or figure is the area enclosed in its boundary.

Please find attached a possible drawing of the information in the question

The area of square ABCD = 100 square centimeters

Length of segment AE = 2 cm

Therefore;'

The side length of the square ABCD, s = √(100) = 10

The length of segment AB = 10 cm

AB = AE + EB (segment addition postulate)

10 = 2 + EB (substitution property of equality)

EB = 10 - 2 = 8

EB = 8 cm

∠CFG ≅ ∠AHE (alternate interior angles)

ΔCFG ≅ ΔAHE (ASA congruency postulate)

Similarly; ΔEBF ≅ ΔHAE (ASA congruency postulate)

BF = AE (CPCTC) = 2

[tex]\overline{EF}=\sqrt{\overline{EB}^2 +\overline{BF}^2}[/tex](Pythagorean theorem)

Therefore;

EF = √(8² + 2²) = √(68)

EF = √(68)

Area of a square = (Length of one side)²

Therefore, area of square EFGH = [tex]\overline{EF}^2[/tex]

Which gives; Area of square EFGH = (√(68))² = 68

The area of square EFGH is 68 square meters

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a) The markdown is $40.25 with the 35%-off coupon.

b) The sales price after the markdown is $74.75.

c) The Sales price using the percent paid method is $74.75.

The markdown is the difference between the regular retail price and the amount paid for the item.

The markdown is a reduction in the cost or price of an item.

The markdown is the opposite of the markup, which increases the cost.

Coupon off = 35%

Regular price = $115.00

a) Markdown = $40.25 ($115 x 35%)

b) Sale price = $74.75 ($115.00 - $40.25)

c) The Sales price using the percent paid method = $74.75 ($115 x 1 - 35%)

Thus, Emilio Ramirez with a 35%-off coupon (markdown) paid $74.75 for a 3-light chandelier regularly priced at $115.00.

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The rectangle has its width to be 8 cm

From the question, we have the following parameters that can be used in our computation:

The length of a rectangle is four more than twice its width

The perimeter of the rectangle is 56 cm.

The above parameters imply that

L = 2W + 4

P = 2(L + W)

Where L represents the Length and W represents the width

The perimeter is given as 56

So, we have

2(L + W) = 56

So, we have

L + W = 28

Substitute L = 2W + 4 in L + W = 28

2W + 4 + W = 28

Evaluate

3W = 24

Divide by 3

W = 8

This means that the width of the rectangle is 8 cm a

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Answer:

2 lengths and 3 widths

444 = 2*L + 3*w --> L = (444 - 3w)/2 = 222 - (3/2)w

Area = length x width

Area (w) == (222 - (3/2)w ) w

The max occurs at the average of the zeros.

The zeros are 222 - (3/2)w = 0 or w=0

222 = (3/2)w or w=0

w = 444/3=148 or w=0

The average is (444/3 +0)/2 = 222/3=74

width is 74 and length is 222 - (3/2)(74) = 222 - 111 = 111

The max area is 74 * 111 = 8214

The conditional statement has a true truth value if neither the hypothesis nor the conclusion is true.

A conditional statement is phrased as follows if we have the two propositions P and Q:

Q if P is true.

where P denotes the premise and Q denotes the result

The following are conditional statements' truth values:

The conditional statement is true if P and Q are true.

The conditional statement is false if P is false and Q is true.

The Conditional statement is false if P is true and Q is false.

The conditional statement is true if P and Q are both false.

Therefore, the conditional statement's truth value is true if both the hypothesis and the conclusion are false.

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Answer:

Well 5 candy bars with 12 sections would make 60 sections to divide among the 3 friends. (5 multiplied by 12)

60 sections divided by 3 friends is 20 sections each.

20/1

Answer:

mAngle5 = 52° by

Alternate Interior angles

Step-by-step explanation:

When you have a pair of parallel lines and a transversal (the line that crosses them both)

this set up makes 8 angles....ALL the angles are either the same measure or they add up to 180°. Literally, if you know the measure of ONE angle, you can find the measure of all 8 angles. Its only two different numbers for all 8.

So, for your problem the two angles are in between the parallel lines (interior) and on different sides of the tranversal (alternate). By the Alternate Interior Angle Theorem they are congruent. One of them is 52° so the other one is also 52°

The possible value a using common factor is -6.

What is factors of the expression?

A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in a product, then the numbers we are multiplying are factors of the product because the product is divisible by them.

Here the given expression is,

=> [tex]x^2-5x+6=x^2-2x-3x+6[/tex]

=>x(x-2)-3(x-2)

=>(x-2)(x-3)

For the pair of polynomial have a common factor, 2 or 3 must be a root of the second polynomial.

If 2 is root then,

=> [tex]x^3-6x^2+11x+a[/tex] = 0 for x=2

=>8-24+22+a=0

=>6+a=0

=>a=-6.

If 3 is root then,

=> [tex]x^3-6x^2+11x+a[/tex] = 0 for x=3

=>27-54+33+a =0

=>6+a=0

=>a=-6.

Hence the possible value of a is -6.

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The number of beads needed to make both pair of earrings is 3090.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The diameter of first circle is 10 cm.

The diameter of second circle is 4 cm.

And, the area covered by 35 beads is 1 cm².

Now, the area of first and second circle is given by substituting the diameters in the expression for area  πD²/4 as,

Area of the first circle = (π × 10²)/4

                                    = 25π cm².

Area of the second circle = (π × 4²)/4

                                          = 4π cm²

The total area is 25π + 4π = 29π cm².

Now, the number of beads can be determined using the unitary method as below,

Number of beads for 1 cm² area is 35.

So, the beads for 29π cm² area is 35 ×  29π = 3090.

Hence, the number of beads required for both the circles is 3090.

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The probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62

Given,

probability of selecting a patient who has an PPO plan=P(A)=0.46

probability of selecting a patient who is between the ages of 30 and 55=P(B)=0.43

probability of selecting a patient who has an PPO plan and is between the ages of 30 and 55 =P(A∩B)=0.27

then, to find the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 i.e. P(A∪B) use formula,

P(AUB)=P(A)+P(B)-(A∩B)

P(AUB)=0.46+0.43-0.27

P(AUB)=0.62

Thus,the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62

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3.7% greater was Babe Ruth's batting average than Hank Aaron's.

Given that, Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

According to the question, 0.342-0.305

= 0.037

Now, 0.037 × 100

= 3.7%

Hence, 3.7% greater was Babe Ruth's batting average than Hank Aaron's.

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"Your question is incomplete, probably the complete question/missing part is:"

Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home run hitter, had a batting average of 0.305. How much greater was Babe Ruth's batting average than Hank Aaron's?

Answer: w = 20 and the other side would be 16

Step-by-step explanation: based on the shortest side, it looks like all of the sides would be multiplied by 4 getting the answer above. The degree of all of the angels should be the same as the smaller triangle as it’s just a sized up version.

Sorry if it’s wrong, I’ve never used this program before. Good luck!

The average rate of change of the function h(x) = - x² + x + 4 is equal to 22 / 5.

In this problem we find the definition of a function and its interval regarding an average rate of change. Graphically speaking, the average rate of change of the function over an interval is represented by the slope of a secant line that passes through two function points related to the interval limits.

The average rate of change is represented by the following formula:

m = [h(b) - h(a)] / (b - a), for a ≤ x ≤ b

If we know that h(x) = - x² + x + 4, a = - 1 and b = 4, then the average rate of change is:

m = [h(4) - h(- 1)] / [4 - (- 1)]

m = [h(4) - h(- 1)] / 5

m = (- 4² + 4 + 4 + (- 1)² - (- 1) - 4) / 5

m = (17 + 5) / 5

m = 22 / 5

The average rate of change is equal to 22 / 5.

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Answer:

Step-by-step explanation:

is enough to think it will work with the new system but not the new one that is already working on the old one

By using the graph, the employee's hourly wages is calculated as $10.6

Graph:

Basically, a graph is a collection of points, called vertices, and lines between those points, called edges.

Given,

Here we have the graph with straight line.

And we need to determine the employee's hourly wage.

While we looking into the graph we have identified that the x axis refers the number of hours the employ is working and the y axis refers the money earned by them.

In order to find the wages for one hour, we need to select one point from the graph.

Here we have take the point  (5,53)

The first point refers the number of hours that is 5.

And the second one refers the wages for 5 hours that is 53.

So, the one hour wages is calculated as,

=> 53/5

=> 10.6

Therefore, the employee's hourly wage is $10.6.

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Answer: 6.88 cm sq.

1. Find the area of the rectangle

A=l *w

L=8cm

the width=the radius of the semicircle

Width=8/2=4

8*4=32

A=32cm sq

2. find area of the semicircle

area=pi times the radius squared divided by 2

r=4cm

A=(3.14)*4^2/2. The area =25.12 cm sq.

Area of the shaded region=32-25.12=6.88cm sq.

The number of miles which Fred has hiked according to the task content is; 918 miles.

It follows from the task content that the given trail in discuss is 2448 miles long and the actual number of miles hiked by Fred is to be determined.

Given; Trail distance = 2448 miles.

However, Fred has hiked three eights of the trail before;

It therefore follows from proportion that;

If; 1 trail = 2448 miles;

Then; 3 / 8 trail = 3 / 8 × 2448 miles.

= 918 miles.

On this note, the number of miles hiked by Fred is; 918 miles.

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Answer:

7)

so

100-16=84

then

84÷7=12

each book costs 12 dollars

Answer: 12

Step-by-step explanation: 25% is always 25/100 or 1/4. To get this you have to multiply 48 by 1/4 with is 48/4 = 12$.

Hoped This Helped!

The correct matches for the given values of x and y can be found by substituting the values in the equations which are 12-x = 3, x+3y= 27, 4y-10=14, xy=54

What is an equation?

Equation is an expression which have equality symbol in between

It means an expression in variable is equal to the constant.

We are given that x= 9 and y=6

We are asked to match the possible value

i) 12 -x

To solve this we substitute x= 9 in the equation

12-9

=3

ii) x+3y

To solve this we substitute x = 9 and y=6

9+3(6)

=9+18

=27

iii) 4y-10

To solve this we substitute  y=6

=4(6)-10

=24-10

=14

iv) xy

To solve this we substitute x = 9 and y=6

= 9(6

=54

Hence the correct matches are 12-x = 3, x+3y= 27, 4y-10=14, xy=54

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Giant one method: It is the method in which we multiply any fraction and we get an equivalent fraction.

For example:

1/2 x 1 (giant one) can also be written as:

=> 1/2 x 8/8

=> 8/16

It is also the method in which we divide any fraction and we get an equivalent fraction.

For example:

21/30 ÷ 1 (giant one) can also be written as:

=> 21/30 ÷ 3/3

=> 7/10

Solving the question:

2/1 ÷ 3/11

Solving this we get

=> 2 x 11/3 = 22/3

Multiplying giant one (1) through the giant one method.

=> 22/3 x 1 (giant one)

Multiplying both numerator and denominator by 3.

=> 22/3 x 3/3

=> 66/9

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Answer:

20.44 km

Step-by-step explanation:

The values are,

→ 730 m = 0.730 km

→ 4 weeks = 28 days

Now Barry swam in 28 days is,

→ 0.730 × 28

→ 20.44 km

Hence, answer is 20.44 km.

Answer:

82

Step-by-step explanation:

1.) Recognize that this is the Pythagorean Triple 9, 40, 41, just multiplied by two (9*2 = 18, 40*2 = 80).

2.) Now, to find the third number, we just multiply 41 by 2 to get 82.

Answer:

The hypotenuse is equal to 82 centimeters.

Step-by-step explanation:

Using the Pythagorean theorem (a^2 + b^2 = c^2), which states that the legs of a right triangle (a and b) squared, equal the hypotenuse squared, we can plug in the values of the legs of the right triangle into spots a and b.  This gets us the equation 80^2 + 18^2 = c^2. We can then square the values to get 6400 + 324 = c^2. We then get 6724 = c^2, and then take the square root of both sides to get the value of c, the hypotenuse. This gets us c = 82, so the hypotenuse is equal to 82 centimeters.

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3}{x}=\frac{x-4}{7}[/tex]

==> cross multiply

[tex]3*7=x*(x-4)[/tex]

==> simplify

21 = x² - 4x

==> subtract 21 from both sides

0 = x² - 4x - 21

==> factorize by finding two numbers that multiply to -21 and add up to equal -4

0 = (x - 7)(x + 4)

==> set each factor to 0 and solve for x

0 = (x - 7)             0 = (x + 4)

 7 = x                      -4 = x

We can now plug in the values of x into the proportion to see which are true.

           [tex]\frac{3}{x}=\frac{x-4}{7}[/tex]                                                [tex]\frac{3}{x}=\frac{x-4}{7}[/tex]

            x = 7                                                      x = - 4

          [tex]\frac{3}{7}=\frac{7-4}{7}[/tex]                                                [tex]\frac{3}{-4}=\frac{-4-4}{7}[/tex]

==> subtract 4 from 7                              ==> subtract -4 from -4

            [tex]\frac{3}{7}=\frac{3}{7}[/tex]                                                      [tex]-\frac{3}{4}=-\frac{8}{7}[/tex]

The only true answer is x = 7

Answer: 13 coins

Step-by-step explanation:

100% --> 260

1% --> 2.6

5% --> 13

Answer:

10 coins

Step-by-step explanation:

Jaxson has a collection of 200 coins. How many coins represent 5% of his collection?

5% = 0.05

200 * 0.05 = 10 coins

Answer:

D. x = -10

Step-by-step explanation:

2x + 4 = x - 6

combine like terms

1x = -10

-10

Answer:

10.2

Step-by-step explain:

Subtract 15 from 100, you should get 85. Then move the decimal 2 times to the left from 85, then 12 and .85 and that is you answer.

Answer:

10.20

Step-by-step explanation:

12-15%= $10.20

And that's it just subtract with the % sign and you'll get the same

Answer:

3: alternate exterior angles 4: supplementary angles

Step-by-step explanation:

3: they are outside, on dif sides.

4: same side, and make 180 degrees