. A man travels 13km by bus , 8km by car and y km by train . If the man has to travel a total of 30 km , find y. *

Answer:

7

Step-by-step explanation:

70+16x-2

68+16x=180

16x=180-112

x=112/16

x=7

Answer:

x = 7

Step-by-step explanation:

70 + 16x - 2 = 180 degree (being co interior angle)

68 + 16x = 180

16x = 180 - 68

16x = 112

x = 112/16

x = 7

Answer:

second option is correct

Answer:

- 30

Step-by-step explanation:

3x + 2y - 5xy

3(2) - 2(3) - 5((2)(3))

6 - 6 - 30

6 - 6 - 30

- 30

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;

[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:

[tex]CA \to HI[/tex]

[tex]AP \to IT[/tex]

[tex]PC \to TH[/tex]

Take for instance:

[tex]CA = y[/tex]     [tex]HI = b[/tex]

[tex]AP = 20[/tex]    [tex]IT = 38[/tex]

Then the solution is:

[tex]CA : HI = AP : IT[/tex]

Substitute values for CA, HI, AP and IT

[tex]y : b= 20 : 38[/tex]

Express as fraction

[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]

Multiply both sides by b

[tex]y= \frac{20 }{ 38}*b[/tex]

Substitute 19 for b

[tex]y= \frac{20 }{ 38}*19[/tex]

[tex]y= \frac{20 }{ 2}[/tex]

[tex]y=10[/tex]

Answer:

Step-by-step explanation:

2(9a - 6) = 2*9a - 2*6 = 18a - 12    

Yes, it is equivalent.

6*(3a-2) = 6*3a - 6*2 = 18a - 12

Yes, it is equivalent.

-3(6a+4)= -3*6a + 4*(-3) = -18a - 12

No, not equivalent

3(6a+4) = 3*6a + 3*4 = 18a + 12

No, not equivalent

-3(4-6a) = -3*4  - 6a*(-3 )  = -12 + 18a = 18a - 12

Yes, it is equivalent.

Answer:

Step-by-step explanation:

2(9a - 6) = 2 × 9a + 2 × (-6)

= 18a - 12

6(3a - 2) = 6 × 3a + 6 × (-2)

= 18a - 12

- 3( 4 - 6a ) = - 3 × 4 + (-3) × (- 6a)

= - 12 + 18a = 18a - 12

Answer:

16 pi

Step-by-step explanation:

The base is the circle

A = pi r^2

A = pi (4)^2

A = 16 pi

Answer: 16[tex]\pi[/tex] square units

Step-by-step explanation:

This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is [tex]\pi r^2[/tex]. The radius in the image is 4. Now we can solve

[tex]\pi 4^2\\\pi 16\\16\pi[/tex]

Answer:

$28

Step-by-step explanation:

original price = $40

discount = 30%

discount amount = 30% of original price

=30/100 * 40

=$1200/100

=$12

sale price = original price - discount amount

=$40 - $12

=$28

Answer:

the number of student that took the test is missing

I think it is 100?

79 is 1 sigms (1 standard deviation) above the mean....

1 sd is 84% ... 16% are above the 79

multiply the students that took the test by .16

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 159. i just took the test and got it right

Answer:

nessa resposta da 10 beijos

Answer:

x = 18

Step-by-step explanation:

The given angles are same- side exterior angles and sum to 180°, that is

6x + 5 + 3x + 13 = 180

9x + 18 = 180 ( subtract 18 from both sides )

9x = 162 ( divide both sides by 9 )

x = 18

Answer:

-80

Step-by-step explanation:

So basically what we need to do is find the value of x that satisfies the equation.

When I mean satisfy, I basically mean a value of x that makes one side of the equals sign equal to the other side of the equals sign.

So in this case, we need -6 = -6.

To find this lets solve the equaion step by step:

-6=x/8+4

So first off, you always want to get the variable on one side, and the number on the other.

This means you want to subtract the 4 from both sides, leaving x/8:

-6=x/8+4

-4       -4

-10=x/8

Whenever x is not 1x, you have to divide or multiply to get it equal to 1x.

If this is a bit confusing, here is an example:

100=10x

We need 1x, but above is 10x. The reason why we want 1x is because it is the lowest ratio, and most accurate x value.

You can think of it like a 1 dollar bill. Its easier and better to use than per say a 3 dollar bill.

So in the example above you would divide by 10, since 10x/10 would equal 1x.

Remember the rule however, that what you do on one side you must do on the other. This emans you would divide both sides by 10:

100/10 =10x/10

=

10=1x

We have in our equation:

-10=x/8

Our x is lower than 1. It x/8. Whenever we have a value of x greater than 1, we divide, like we did in the example. However here, it is below x. So we multiply.

In this case we multiply by 8, since its x/8:

-10 * 8 = x/8 * 8

=

-80=x

So x is equal to -80.

I hope you understand it better now :D

Answer:

cos A =1.0

sin B=0.02

tan C=9.1

Answer:

m = 3

Step-by-step explanation:

5m + 1 = 3m + 7

2m = 6

m = 3

The value of m in the figure is 3

From the question, line segments GH and HK are congruent.

So, we have:

GH = HK

Substitute known values

5m + 1 = 3m + 7

Collect like terms

5m - 3m = -1 + 7

Evaluate the like terms

2m = 6

Divide both sides by 2

m = 3

Hence, the value of m in the figure is 3

Read more about quadrilaterals at:

https://brainly.com/question/5715879

Answer:

8x² + 8

Step-by-step explanation:

Given

(x² + 3)² - (x² - 1)² ← expand factors using FOIL

= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1

= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms

= 8x² + 8

Answer:

This cant be an accurate question, i drew the diagram and before i got to the people who only have birds i already had over 40 people total

Step-by-step explanation:

Answer:

hope this will help you more

Answer:

[tex]x^2-5x+6[/tex]

x = 3, x = 2

[tex]x^2-11x+28[/tex]

x = 7, x = 4

Step-by-step explanation:

One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;

[tex]ax^2+bx+c[/tex]

The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

Substitute in each of the terms and solve for the roots in each equation;

[tex]x^2-5x+6[/tex]

Substitute, and solve

[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]

[tex]=\frac{5+1}{2}[/tex]          [tex]=\frac{5-1}{2}[/tex]

[tex]=3[/tex]               [tex]=2[/tex]

[tex]x^2-11x+28[/tex]

Substitute, and solve

[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]

[tex]=\frac{11+\sqrt{9}}{2}[/tex]           [tex]=\frac{11-\sqrt{9}}{2}[/tex]

[tex]=\frac{11+3}{2}[/tex]              [tex]=\frac{11-3}{2}[/tex]

[tex]=7[/tex]                     [tex]=4[/tex]

Note: Let us consider, we need to find the [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].

Solution:

BD is the angle bisector of ABC. So,

[tex]m\angle ABD=m\angle DBC[/tex]

[tex]3x=x+20[/tex]

[tex]3x-x=20[/tex]

[tex]2x=20[/tex]

Divide both sides by 2.

[tex]x=\dfrac{20}{2}[/tex]

[tex]x=10[/tex]

Now,

[tex]m\angle DBC=(x+20)^\circ[/tex]

[tex]m\angle DBC=(10+20)^\circ[/tex]

[tex]m\angle DBC=30^\circ[/tex]

And,

[tex]m\angle ABC=(3x)^\circ+(x+20)^\circ[/tex]

[tex]m\angle ABC=(4x+20)^\circ[/tex]

[tex]m\angle ABC=(4(10)+20)^\circ[/tex]

[tex]m\angle ABC=(40+20)^\circ[/tex]

[tex]m\angle ABC=60^\circ[/tex]

Therefore, [tex]m\angle DBC=30^\circ,m\angle ABD=30^\circ[/tex] and [tex]m\angle ABC=60^\circ[/tex].

Answer:

$1020

Step-by-step explanation:

660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).

Answer:

[tex]\approx 68\%[/tex]

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

Answer:

Step-by-step explanation:

Given:

The squares between 4.9 and 5.1 represent:

Relevant z- scores are:

From the z-score table we get:

The data between these points is:

Answer:

18 i think sorry if i am wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$56.32

Step-by-step explanation:

Find the selling price by multiplying the original cost by 1.76:

32(1.76)

= 56.32

So, the selling price is $56.32

Answer:

12

Step-by-step explanation:

8+8+9+11+24=60

60/5=12

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\text{Well, you know that mean means average. You have to find the}\\\large\text{sum of all of the number in the data set and divide the sum by}\\\large\text{by the total numbers in the data.}[/tex]

[tex]\mathsf{\dfrac{8+8+9+11+24}{5}}[/tex]

[tex]\mathsf{8 + 8 + 9 + 11 + 24}\\\mathsf{8 + 8 = \boxed{\bf 16}}\\\mathsf{= 16 + 9 + 11 + 24}\\\mathsf{16 + 9 = \boxed{\bf 25}}\\\mathsf{= 25+11+24}\\\mathsf{25+11=\boxed{\bf 36}}\\\mathsf{36+ 24}\\\boxed{= \mathsf{\bf 60}}[/tex]

[tex]\mathsf{\dfrac{60}{5}}\\\\\\\mathsf{= \dfrac{60\div5}{5\div5}}\\\\\\\mathsf{= 60\div5\rightarrow\boxed{\bf 12}}\\\\\\\mathsf{= 5\div5\rightarrow\boxed{\bf 1}}\\\\\mathsf{\rightarrow \dfrac{12}{1}= \boxed{\bf 12}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge Your \bf {MEAN is 12}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].

By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

Solving, we get:

[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]

Therefore, we have:

[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]

Answer: Choice A)   [tex]\frac{4\sqrt{14}}{7}[/tex]

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

Explanation:

Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.

This is because tan = opposite/adjacent.

Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so

sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)

The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.

sin = opposite/hypotenuse

csc = hypotenuse/opposite

---------

So we get the following

[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]

So that's why the answer is choice A.

Answer:

Option 1: It is better for him to be paid per catch, starting with 1 cent and doubling with each catch up to 110

Explanation:

If Jason were to be paid per catch given that he makes a total of 110 catches for the 2017 season in his new contract, he would make a total of :

0.01 × 2^109 = $6.4903711e+30(calculator result, means 6 then 30 digits after)

Therefore it is better for Jason to be paid per catch and not a flat fee of $2000000

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = [tex]\frac{\triangle \theta}{\triangle t}[/tex]

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = [tex]\frac{7\pi }{2}[/tex] radians and Δt = 24 seconds

Therefore, angular velocity = [tex]\frac{\frac{7\pi }{2} }{24}[/tex]

                                              = [tex]\frac{7\pi }{48}[/tex] radians per second

Option A is the answer.

Answer:

Por 3 meses Elena pagó $624.

Step-by-step explanation:

Elena paga por su recibo de teléfono $ 132,80 y de luz $ 75,20. Por lo que, para obtener lo pagado por Elena en ese mes por sus recibos se debe sumar ambos importes:

132,80 + 75,20= 208

Entonces en ese mes Elena pagó $208.Si 3 meses del año pagó el mismo importe, entonces debes multiplicar $208 por 3.

208*3= 624

Entonces, por 3 meses Elena pagó $624.

Answer:

no solution

Step-by-step explanation:

y = x+1 and y = x + 2 don't touch because they are parallel

if you don't know what parallel means, just search it up, but i can explain it to you:

parallel means same slope or same steepness of line

Answer:

if you want to find how many degree for x

Step-by-step explanation:

you must collect all degree and completing 180 degree for this, (5x-5)+(2x+10)=180 7x=175 x=10,12

Now,

5x - 5 + 2x + 10 = 180° ( linear pair )

7x + 5 = 180°

7x = 180° - 5°

x = 175°/7

x = 25°

I hope it's help u...

Mark me as brainliest....