8(7n-2) -6(7n+1)

Explain please

The linear equation for his balance over time is given by:

y = 20x + 100.

A linear function is modeled by:

y = mx + b

In which:

In this problem, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:

y = 20x + 100.

Hence:

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Answer:

2/5

Step-by-step explanation:

Find two integer coordinate sets  ( use the two points labelled)

slope = m = (y1-y2)/(x1-x2) =

                = ( 1 - -1 ) / (3- - 2) = 2/5

  (NOTE: it does not matter which point you choose to be  x1,y1  or x2,y2 )

Answer:

3

Step-by-step explanation:

first put them in order

1 1 2 3 3 4 5

then cancel them down go from the front to the back so go like

1 then 5 then 1 again then 4 and etc

u would then end up with the last two numbers which is 3 and 3. if u had numbers like 5 and 7 u would have to find the number in the middle of which would be 6. in the case the two numbers you are left with is 3 and 3 since there both the same the answer would be 3

hope this helped :)

Answer:

a) [tex]w^{13} x^{5} y^{6}[/tex]

b) [tex]\frac{x}{3y^{6} }[/tex]

Step-by-step explanation:

a) [tex](w^{2} xy^{3} )^{2}(w^{3}x )^{3}[/tex]

1. Distribute the second power (2) outside the first pair of parenthesis:

[tex](w^{2(2)} x^{2} y^{3(2)} )[/tex]

= [tex]w^{4} x^{2} y^{6} (w^{3}x )^{3}[/tex]

2. Distribute the third power (3) outside the second pair of parenthesis:

[tex](w^{3(3)} x^{3} )[/tex]

= [tex]w^{4} x^{2} y^{6} w^{9} x^{3}[/tex]

3. Combine like terms:

[tex]w^{13} x^{5} y^{6}[/tex]

--------------------------------------------

b) [tex]\frac{2x^{2} y^{5} }{6xy^{11} }[/tex]

1. Factor the number 6 (= 2 · 3):

[tex]\frac{2x^{2} y^{5} }{2(3)xy^{11} }[/tex]

2. Cancel the common factor (2):

[tex]\frac{x^{2} y^{5} }{3xy^{11} }[/tex]

3. Cancel out [tex]xy^{5}[/tex] in the numerator an denominator:

[tex]\frac{x}{3y^{6} }[/tex]

hope this helps!

Answer:

v=50

u=80

Step-by-step explanation:

RT=RS

v=50

u=180-50-50=80

Answer:

(1, 3) and (0, 0)

Step-by-step explanation:

y = mx + b

m is the slope which is 3 (given)

b is the y intercept

(x, y) → (2, 6)

6 = 3(2) + b

6 = 6 + b

b = 0

so the equation is y = 3x

one point:

y = 3(1)

y = 3 when x = 1

(1, 3)

y = 3(0)

y = 0 when x = 0

(0, 0)

Answer:

Step-by-step explanation:

11 + 5 = big hipo = 16

16 / x = x / 5

x*x = 16*5

x² = 80

x = [tex]\sqrt{80}[/tex] (do this lame calculus)

x = 4[tex]\sqrt{5}[/tex]

y² = (4[tex]\sqrt{5}[/tex])² - 5²

y² = (4[tex]\sqrt{5}[/tex]) * (4[tex]\sqrt{5}[/tex]) - 25

y² = 16 + 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] + [tex]\sqrt{25}[/tex] - 25

y² = 16 + 8[tex]\sqrt{5}[/tex] + 5 - 25

y² = 16 + 8[tex]\sqrt{5}[/tex] - 20

y² = - 4 + 8[tex]\sqrt{5}[/tex]...

I give up..

Answer:

54

Step-by-step explanation:

7*a-b , a = 7 , b = - 6

7*7 - (-6)

49 + 6 = 54

If its 7 * (a - b)

7*(7 - (-6))

7 * 13

91

Answer:

the answer is 36 gallon

Step-by-step explanation:

A reduction means that the original figure is made smaller.

An englargement means that the original figure is made larger.

The new figure (shown by the ' next to each letter) is smaller than the original. Therefore, the dilation was a reduction.

Hope this helps!

The new price of pizza when the quantity sold is increased to 250 is $12.45.

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

Percentage change in quantity demanded = (250 / 200) - 1 = 25%

Percentage change in price = 25% / 1.5 = 16.67%

New price = (0.1667 x 15) - 15 = $12.45

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Step-by-step explanation:

Since TRIANGLE BAD is an isosceles traingle you know line BA is equal to line AD

and since C is the given midpoint of line BD you know BC is equal to CD

both triangles share line AC so the third side is also the same

so now you know traingles BAC, and CAD have three sides which all measure the same making ABC equal to ADC

Answer:

40 : 27

Step-by-step explanation:

[tex]3\frac{1}{3} : 2\frac{1}{4}[/tex]

Turn into improper fractions:
[tex]\frac{10}{3} : \frac{9}{4}[/tex]

Make them integers by multiplying them by 12:
40 : 27

The ratio of 3 ¹/₃ and 2 ¹/₄ is 40 : 27.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b.

The given numbers are,

3 ¹/₃ and 2 ¹/₄

To find the ratio of the given numbers,

First simplify the numbers,

3 ¹/₃ = 10 / 3

2 ¹/₄ = 9 / 4

Divide 10 / 3 and 9 / 4

= (10 / 3) / (9 / 4)

= (10 x 4) / (9 x 3)

= 40 / 27

= 40 : 27.

The required ratio is 40 : 27.

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To solve this equation we must find the value of x using the other values provided in the operation.

An equation is a type of mathematical operation that is characterized by expressing an equality between two expressions, each of these expressions involved in an equation are called members and are separated by the equal sign.

On the other hand, equations are characterized by having elements or known and unknown values related by mathematical operations.

According to the above, it can be inferred that we must use an equation to calculate the value of x using the other values provided by the situation.

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Step-by-step explanation:

the probability to win is 0.2.

the probability to lose is 1-02 = 0.8.

there is no sure win after at least n trials.

on day 1 the probability to win is 0.2.

on day 2 the probability to win at least once is

the probability to have won on day 1 but not on day 2, plus the probability to have won on day 2 but not on day 1 plus the probability to have won on both days :

0.2×0.8 + 0.8×0.2 + 0.2×0.2 = 0.32 + 0.04 = 0.36

...

on day 7 we have

the probability to have won on one day but not on 6 days times the combination of picking 1 day out of 7,

plus the probability to have won on 2 days but not on 5 days times the combinations to pick 2 out of 7,

plus the probability to have won on 3 days but not on 4 days times the combinations to pick 3 out of 7,

...

plus the probability to have won on all 7 days.

that is

0.2.×0.8⁶ × 7 +

+ 0.2²×0.8⁵ × C(7, 2) +

+ 0.2³×0.8⁴ × C(7, 3) +

+ 0.2⁴×0.8³ × C(7, 4) +

+ 0.2⁵×0.8² × C(7, 5) +

+ 0.2⁶×0.8 × 7 +

+ 0.2⁷

but before we lose ourselves in tons of little operations, this is the same as the opposite of having lost on all 7 days.

that is

1 - 0.8⁷ = 1 - 0.2097152 = 0.7902848 ≈ 0.7903

so, the probability that Jorge has won at least one prize is

0.7903

Answer:

$13.50.

Step-by-step explanation:

80% = 0.80 as a decimal fraction.

The marked up price

= 7.50 + 0.80 * 7.50

= $13.50.

so the new price will just be 7.5 plus 80% of 7.5

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 7.50}}{\left( \cfrac{80}{100} \right)7.50}\implies 6\hspace{5em}\underset{selling~price}{\stackrel{7.50~~ + ~~6}{13.50}}[/tex]

Answer: The answer is (A) ∠T.

Step-by-step explanation: Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.

In the two polygons, the corresponding vertices are

A ⇒ T

B ⇒ V

C ⇒ S

D ⇒ R

E ⇒ K.

Therefore, ∠EAB, which is ∠A will correspond to ∠T.

Thus, the correct option is (A) ∠T.

#Circle 1

#Circle 2

#Circle 3

#Triangle 1

#Triangle 2

#Triangle 3

The area of each cross section of the cone and pyramid is the same which is 2[tex]\pi[/tex].

This is because the cone and pyramid are similar solids, and the cross sections are taken at equal heights.

The similarity of the cone and pyramid can be seen by comparing the triangles formed by the apex, a point on the base, and the intersection of the plane with the solid. These triangles are similar because they have the same angles.

The fact that the cross sections are taken at equal heights means that the triangles are similar in size as well. This means that the areas of the triangles are also the same.

Therefore, the area of each cross section of the cone and pyramid is the same.

[tex]\pi[/tex][tex]h^2[/tex] / (1/2) h*h = 2[tex]\pi[/tex][tex]h^2[/tex] / [tex]h^2[/tex] = 2[tex]\pi[/tex]

The cross sections of the cone and pyramid are both triangles. The triangles are similar because they have the same angles. The fact that the cross sections are taken at equal heights means that the triangles are similar in size as well. This means that the areas of the triangles are also the same. Hence, the answer is 2[tex]\pi[/tex].

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Answer:

25

Step-by-step explanation:

When answer questions about unique combinations, there are usually two ways people go about finding the solutions.

First, sometimes it can take a while, but it often helps people visualize the question if they jot down or sketch each different combination. Then, they can just count them up at the end to find there answer.

The easeier way is to use a quick math trick. If you have 5 runners, with 5 potential lanes each runner could start in, you can just multiply these two variables together to get your answer of the number of possible options.

So,

5 runners * 5 lanes = 25 possible combinations for each lane and runner

The number of unique ways that the runner can be arranged in 5 lanes for a race is 120.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Total number of runners = 5

Total number of lanes = 5

Number of ways that 5 runners can be arranged = 5! = 120

Hence the number of ways is 120.

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Answer:

The answer is D she paid 38,400

Step-by-step explanation:

30,000 + 8400 = 38,400

Answer:

Step-by-step explanation:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Answer:

11

Step-by-step explanation:

Answer: c

Step-by-step explanation:

C is the only that gave us a single outcome so it’s a simple event

Based on the inscribed angle theorem, the measurements that are correct are: B. m(arc YZ) = 120°; E. m∠YWZ = 120°.

The inscribed angle theorem states that the measure of an inscribed angle in a circle equals the twice the measure of the intercepted arc or twice the measure of the central angle.

In the circle given, since the triangle is an equilateral triangle, therefore, all its angles each equals 60°. Therefore:

m(XY) = m(YZ) = m(ZX) = 2(60°) = 120°.

The central angles, m∠XWZ = m∠XWY = m∠YWZ = 120°.

Therefore, the correct measurements are: B. m(arc YZ) = 120°; E. m∠YWZ = 120°.

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Answer:

B&E

Step-by-step explanation:

Trust me bruv

Casey is correct and he will get the correct solution.

We have given that,

ROBERT                         CASEY

5 1/8+ 2 1/3 = 7 1/2       -4 1/2+ 6 3/4= 2 1/4

Robert's 5 1/8 + 2 1/3 = 7 1/2 is wrong because if 5+2 = 7, I would have to change the denominator of both fractions so they are both the same.

A statement that the values of two mathematical expressions are equal.

The denominator would have to be 24.

That would make the fractions 3/24 and 8/24.

If you added them together, it would not be able to simplify to 1/2.

Casey is correct.

-4 1/2 + 6 3/4 = 2 1/4 is correct

because 4 - 6 = 2.

In order to make the fractions have the same denominator, you would have to multiply -1/2 by 2 on both numerator and denominator which would equal -2/4.

Now add -2/4 and 1/4 and you get 1/4.

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Answer:

√20 =4.47

Area =4.47*4.5

Area =20 unit ^2

Answer:

Center: (-7, -4)

radius = 4

Explanation:

Circle formula:

(h, k) denotes the center of the circle, "r is radius"

Rewrite the following equation in standard form:

From this identify:

General equation

(x-h)²+(y-k)²=r²

So

Center=(-7,-4)

Radius=4