Mr. Padilla used similar triangles to make a design. Which statement about the triangles in the design must be true?

Answer:

The correct result would be f(g) = g * $1 - $50.

Step-by-step explanation:

If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit

g ... glasses of lemonade

f(g) = p = g * $1 - $50

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Answer:

supplementary angles add up to 180°

given y=65° thus...

x+y=180°

x + 65°=180°

x=180°- 65°

x=115°

Answer:

x = 115°

Step-by-step explanation:

x ; y = suplementary =>

=> x + y = 180°  } => x = 180° - 65° = 115°

    y = 65°

Answer: 7700 committee

Step-by-step explanation:

Given that  In class A there are 15 girls and 17 boys.  And In class B, there are 19 girls and 10 boys

To find  possible committees of 3 such that the total of committee members of both classes combined consists of 4 girls, we will use combination technique

(15C2 × 17C1) + (19C2 × 10C1)

Or

(15C1× 17C2) + (19C3 ×10C0)

Or

(15C3 × 17C0) + (19C1 × 10C2)

Note that "or" means addition

(1785 + 1710) + (2040 + 855) + (455 + 855)

= 3495 + 2895 + 1310

= 7700 committee

Pls mark Brainliest.

Answer:

210°

Step-by-step explanation:

360° is a full rotation. 'Of' also represents a multiplication sign in some places. It basically means that 7/12 of a full rotation is the same as 7/12 * 360° which is equal to 210°.

The equivalent of 7/12 of a full rotation (360°) is; 210°.

According to the question;

We must however remember that a full rotation is given as the angle at a point;

In essence, a full rotation in degrees is 360°.

Consequently;

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The Answer is : C.) h(x) = -4(x − 2)(x + 2)

Final answer:

The quadratic function in form C displays the zeros of the function directly by being in factored form, showing x = 2 and x = -2 as the zeros.

Explanation:

Form C. h(x) = -4(x - 2)(x + 2) displays the zeros of function h because it is in factored form, making it easy to identify the zeros directly as x = 2 and x = -2.

By setting h(x) = 0 in form C, the solution can be seen as:
-4(x - 2)(x + 2) = 0
x = 2, x = -2

Therefore, form C, h(x) = -4(x - 2)(x + 2), directly shows the zeros of the function h to be x = 2 and x = -2.

Answer:

More than 250 miles

Step-by-step explanation:

Rental cost of company A is $80 + $0.6 per mile driven and company B also has a rental cost of $30 + $0.8 per mile driven.

To find the moment when company A rental cost matches that of company B,we have to create an equation that is ideal for both parties.

80 +0.6x = 30 + 0.8x

Where x is the number of miles traveled by both trucks.

Simplifying the above equation, we have

0.2x = 50 divide both sides by 0.2

= 250 miles is when both rental cost matches .

Therefore, the number of miles needed to be driven so as the rental cost of company A to better company B should be more than 250 miles

To determine when renting a truck from Company A becomes cheaper than Company B, we set the cost equations for both companies equal and solve for the number of miles. In this case, Company A becomes the better deal when the truck is driven more than 250 miles in a day.

The cost of renting a truck from each company can be defined using linear equations: Company A's cost as $80+0.60x = y$ and Company B's cost as $30+0.80x = y$, where 'x' is the number of miles driven and 'y' is the total cost. To find out when Company A's cost is less than Company B's, we set the equations equal to each other and solve for 'x': $80+0.60x = $30+0.80x$. Simplifying this equation gives, $x = ((80-30)/(0.80-0.60))$, thus 'x' = 250. Therefore, for company A to be a better deal, the truck must be driven more than 250 miles in a day.

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Answer:

x = 5

Step-by-step explanation:

-4x - 2 = -22

-4x = -22 + 2

-4x = -20

x = -20 / -4

x = 20 / 4

x = 5

Answer:

x = 5

Step-by-step explanation:

-4x - 2 = -22

add 2 to both of the sides

-4x -2 + 2 = -22 + 2

solve it

-4x = -20

then divide

-4x/4

-20/-4 = 5

x = 5

Sorry if my explanation was bad

Given:

A composite figure made up of a rectangle and two pentagons.

To find:

The area of the composite shape.

Solution:

If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

[tex]A=\frac{5}{2} (a)(s).[/tex]

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.

The area of a pentagon [tex]= \frac{5}{2} (5.5)(8) = 110[/tex] sq units.

The area of 2 such pentagons [tex]= 2(110)= 220[/tex] square units.

The rectangle has a length of 14 units and a width of 8 units.

The area of a rectangle [tex]= (l)(w).[/tex]

The area of the rectangle [tex]= (14)(8)=112[/tex] square units.

The area of the composite shape is the sum of the individual areas of the different shapes.

The area of the composite shape [tex]=220+112=332[/tex] sq units.

The area of the composite shape is option A. 332 sq units.

828 small spheres can be made from the metal.

Step-by-step explanation:

Side of the cube = 4.5cm

Volume = (a x a x a)

= (4.5 x 4.5 x 4.5)

= 91.125 cubic cm

Radius of the sphere = 3mm = 0.3 cm

Volume of 1 sphere = (4/3) π(r x r x r)

= (4/3) (3.14) (0.3 x 0.3 x 0.3)

= (4/3) (3.14) (0.027)

= 0.34/3

= 0.11 cubic cm

No. of spheres = 91.125/0.11

= 828.4

So, 828 small spheres can be made from the metal.

Answer:

Tangent

Step-by-step explanation:

A TANGENT to a circle is a line, ray or segment in the plane of the circle that intersect the circle in exactly one point.

An tangent to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.

A circle is defined as a plane figure bounded by a single curved line, with every point on that line being equally distant from the center point. Tangents have a unique property where they touch the circle at precisely one point and are perpendicular to the radius drawn to the point of contact. This concept is fundamental to understanding circles and their geometric properties.

Step-by-step explanation:

1st year:

(1200 x 3.5 x 1) ÷ 100 = $42

2nd year:

(1242 x 3.5 x 1) ÷ 100= $43.47

3rd year:

(1285.47 x 3.5 x 1) ÷ 100= $44.99≈ $45

4th year:

(1330.47 x 3.5 x 1) ÷ 100= $46.56

Compound interest:

$(42 + 43.47 + 45 + 46.56)

=$ 177.03

Final answer:

To find the percent of students who voted for the athlete, divide the number of students who voted for the athlete by the total number of students, and then multiply by 100. This results in 25% of the students voting for the athlete.

Explanation:

To calculate the percentage of students who voted for the athlete, you would use the formula: part over total, times one hundred, equals percent. In this case, the part is the number of students who voted for the athlete (15), and the total is the combined number of students who voted for the athlete and actor (15 + 45).

So, the calculation would be as follows: (15 / (15 + 45)) x 100 = (15 / 60) x 100 = 0.25 x 100 = 25%. Therefore, 25% of the students voted for the athlete.

its 350 because you -250 + 650 = 350

Answer:

The mean weight of the 20 geodes is 11 ounce.

Step-by-step explanation:

Mean weight:

Mean weight is actually the average weight. Add up all weight, then divides by the number objects.

[tex]\textrm{Mean weight}=\frac{\textrm{Total weight}}{\textrm{Total number of objects}}[/tex]

Given that,

A collection of 8 geodes has mean weight of 14 ounce.

Then the total weight of 8 geodes is =(8×14) ounce

                                                             =112  ounce

A different collection of 12 geodes has a mean weight of 9 ounce.

Then the total weight of 8 geodes is =(12×9) ounce

                                                             =108  ounce

Therefore total weight of (12+8) =20 geodes is = (112+108) ounce

                                                                              =220 ounce

The average mean of 20 geodes is

[tex]=\frac{220}{20}[/tex]

=11 ounce.

The mean weight of the 20 geodes is 11 ounce.

Answer: The mean weight of the 20 geodes is 11 ounce.

Mean weight means total weight divided by total number of objects.

Given that:

A collection of 8 geodes has mean weight of 14 ounce.

Then the total weight of 8 geodes is = (8×14) ounce = 112  ounce

A different collection of 12 geodes has a mean weight of 9 ounce.

Then the total weight of 8 geodes is = (12×9) ounce = 108  ounce

Therefore total weight of (12+8) =20 geodes is = (112+108) ounce =220 ounce

The average mean of 20 geodes is = [tex]\frac{220}{20}[/tex] =11 ounce.

Hence, the mean weight of the 20 geodes is 11 ounce.

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Answer:

C) all values of x

Step-by-step explanation:

The denominator has no real roots which means it's not 0 for any x. Hence x can take any real value

Answer:

C

Step-by-step explanation:

All values of x

I hope this is what you need

Answer:

Polygon: Octagon

Sides: 8

Angles: 8

Vertices: 8

Total interior angle: 1080

Step-by-step explanation:

8 sides so it's an octagonal figure,

8 sides, 8 vertices and 8 angles

Total angle:

(8 - 2)×180

1080

Answer:

2

Step-by-step explanation:

Answer:

36

Step-by-step explanation: All you have to do is multipy the area of the original figure by the scale factor. (18 times 2) which is 36.

You're welcome <3

Answer:

Its D.72

Step-by-step explanation:

Answer:

90% confidence interval for the population proportion of US adults who follow baseball

( 0.1842 , 0.22880)

Step-by-step explanation:

Explanation:-

Given data the survey of 891 US adults who follow baseball in a recent year, 184 said that the Boston red sox would win the world series.

The sample proportion [tex]'p' = \frac{184}{891} = 0.20650[/tex]

                           q = 1-p = 1- 0.20650 =0.79350

Confidence intervals

90% confidence interval for the population proportion of US adults who follow baseball

[tex](p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )[/tex]

The tabulated value Z₀.₉₀ = 1.645

[tex](0.20650-1.645\sqrt{\frac{0.20650X0.7935}{891} } , 0.20650 + 1.645\sqrt{\frac{0.20650X0.7935}{891} } )[/tex]

(0.20650 - 0.02230 , 0.20650+0.02230)

( 0.1842 , 0.22880)

Conclusion:-

90% confidence interval for the population proportion of US adults who follow baseball

( 0.1842 , 0.22880)

Answer:

4

Step-by-step explanation:

Im not quite sure how to explain this without a picture. But its the thing where you do the opposite to each side to find the value of X.

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

9x - 13 = 23

     +13    +13

9x                  36

_       =            _

9                     9

       x=4

Answer: equation= 4x-5y= 9

x intercept= 9/4

y intercept= -9/5

Step-by-step explanation: It was right on E2020

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points (1, -1) and (-4, -5)

so, slope of line

= -5 + 1 / (-4 -1)

= -4 /(-5)

= 4/5

So, the equation of line is

y+ 1= 4/5 ( x- 1)

y + 1 = 4/5x  -4/5

y= 4/5x - 4/5 - 1

y= 4/5x - 9/5

4x - 5y = 9

So, the x- intercept is 9/4 and y- intercept is -9/5.

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Answer:

-2.9 kg. (loss)

Step-by-step explanation:

Total change in weight = 2.3 - 1.5 - 3.7

Total change in weight = -2.9 kg.

Step-by-step explanation:

The correct equation that represents the total change in Jon's weight over the three months is (Choice A) 2.2 + (-1.55) + (-3.77), which equals a total weight loss of 3.12 kilograms.

The total change in Jon's weight over the three months can be determined by adding his weight gain and subtracting his weight loss for each month. In December, Jon gained 2.2 kilograms, represented as "+2.2". Then he went on a diet and lost 1.55 kilograms in January, represented as "-1.55" and lost another 3.77 kilograms in February, represented as "-3.77".

The correct equation that matches this situation is (Choice A) 2.2 + (-1.55) + (-3.77). This equation takes into account the weight gain and losses, with losses represented by negative numbers. When we perform the calculation, we get:

2.2 - 1.55 - 3.77 = -3.12 kilograms

This means that Jon's total change in weight over the three months is a loss of 3.12 kilograms.

Answer:

0.3678

Step-by-step explanation:

Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked is an exponential random variable with parameter 1/20. Smith has a used car that he claims has been driven only 10,000 miles. If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?

Given that the total number of thousands of miles(X) that an auto can be driven

before it would need to be junked is an exponential random variable with parameter 1/20.

=> X ≅ Exponential(λ= 1/20)

=> f(x) = 1/20 * e^(-x/20) , 0 < x < ∞

=> F(X) = P{X < x} = 1 - e^(-x/20)

The probability that she would get at least 20,000 additional miles out of it.

P{X > 20} = 1-P{X < 20}

P{X > 20} = 1-(1 - e^(-20/20))

= e^(-1)

= 0.3678

Answer:

-6

Step-by-step explanation:

12(5+2y) = 4y - (6-9y)

60+24y = 4y-6+9y

24y + 60 = 13y - 6

24y-13y = -6-60

11y = -66

y = -6

Answer:

[tex]y=-6[/tex]  is the correct answer.

Step-by-step explanation:

The steps involved in solving an algebraic equation in one variable are as stated as:

Step 1: If necessary, simplify the expressions on each side of the equation. This would involve things like removing parentheses, adding like terms, removing fractions.

To remove fractions: Since fractions are another way to write division, and the inverse of divide is to multiply, you remove the fractions by multiplying both sides by the "Least Common Divisor" of all your fractions.

Step 2:  Use Addition / Subtraction properties to move the variable term to one side and all other terms to the other side.

Step 3:  Use Multiplication / Division properties to remove any values that in front of the variable.

Step 4: Check your answer.

Step-by-Step Solution:

[tex]12\left(5+2y\right)=4y-\left(6-9y\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\\\\mathrm{Expand\:}12\left(5+2y\right)\:\:=\:\: 60+24y\\\\\mathrm{Expand\:}4y-\left(6-9y\right)\:\:=\:\: 13y-6\\\\60+24y=13y-6\\\\\mathrm{Subtract\:}60\mathrm{\:from\:both\:sides}\\\\60+24y-60=13y-6-60\\\\24y=13y-66\\\\\mathrm{Subtract\:}13y\mathrm{\:from\:both\:sides}\\\\24y-13y=13y-66-13y\\\\11y=-66\\\\\mathrm{Divide\:both\:sides\:by\:}11\\\\\frac{11y}{11}=\frac{-66}{11}\\\\y=-6[/tex]

Answer:

  1          

 — = 0.04167

 24          

Step-by-step explanation:

Step  1  :

                5

Simplify   —

                8

Equation at the end of step  1  :

 5

— ÷ 15

 8

Step  2  :

            5      

Divide  —  by  15

             8      

Final Answer:

1

__  = 0.04167

24

Answer:

See the attached figure which represents the problem.

Angles GJH and JHI are inscribed angles

Given: ∠GJH = 0.5a  and ∠JHI = 0.5b ⇒ inscribed angle theorem

So, the angle JHI is an exterior angle of ΔGJH

AS, the measure of the exterior angle is equal to the sum of the sum of the remote interior angles

So, ∠JHI = ∠GJH + ∠JGI ⇒ by substitution property

∴ 0.5 b = 0.5a + ∠JGI

∴ ∠JGI = 0.5b - 0.5a ⇒ take 0.5 as a common

∠JGI = 0.5 ( b - a ) ⇒ by distributive property.

So, m∠JGI = One-half(b – a)

Answer:

see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measure of the exterior angle is the semi-difference of the arches it covers.

In this problem

m∠JGI is an exterior angle

so

[tex]m\angle JGI=\frac{1}{2}[arc\ JI-arc\ FH][/tex]

we have

[tex]arc\ JI=b^o\\arc\ FH=a^o[/tex]

substitute the given values

[tex]m\angle JGI=\frac{1}{2}(b-a)^o[/tex]

Prove

Remember that

In any triangle the measure of an exterior angle is equal to the sum of the measures of the remote interior angles

so

In the triangle GJH

[tex]m\angle JHI=m\angle JGI+m\ angle GJH[/tex] ----> equation A

Remember that

The inscribed angle is half that of the arc it comprises.

so

[tex]m\angle JHI=\frac{b}{2}[/tex]

[tex]m\angle GJH=\frac{a}{2}[/tex]

substitute in the equation A

[tex]\frac{b}{2}=m\angle JGI+\frac{a}{2}[/tex]

Using the subtraction property

[tex]m\angle JGI=\frac{b}{2}-\frac{a}{2}[/tex]

simplify

[tex]m\angle JGI=\frac{1}{2}(b-a)^o[/tex] ----> proved

Answer:

The range of the two sets are the same

Step-by-step explanation:

Answer:

Robin's mean score is lower than Evelyn's mean score. This means Robin is winning as you need to minimise your score in order to be as close to the target as possible.

Evelyn because she has a better mean then robins

Evelyn has the greater mean. It indicates that, on average, her objects landed farther away from the center than Robin’s. This difference means that Robin is winning the game.

i hope it helps :)

Answer:

7.14 Quarts of Liquid Fertilizer and

12.86 Quarts of Water

Step-by-step explanation:

Parts of Liquid Fertilizer Needed=5

Parts of Water Needed=9

Total=9+5=14

Therefore:

Proportion of Liquid Fertilizer Needed=5/14

Proportion of Water Needed=9/14

If she wants to make 20 Quarts of solution

Quarts of Liquid Fertilizer Needed=(5/14)*20=7.14 Quarts

Quarts of Water Needed=(9/14)*20=12.86 Quarts