Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from home to the history museum is six and seven-tenths kilometers. A. 670 m B. 6,700 m C. 0. 067 m D. 67,000 m.

[tex]\\ \rm\Rrightarrow 7x+10+3x+10=180[/tex]

[tex]\\ \rm\Rrightarrow 10x+20=180[/tex]

[tex]\\ \rm\Rrightarrow 10x=160[/tex]

[tex]\\ \rm\Rrightarrow x=16[/tex]

Now

Answer:

y = 58°

z = 122°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore,

(7x + 10) + y = 180

(3x + 10) + z = 180

Alternate interior angle theorem: when 2 parallel lines (AB and CD) are cut by a transversal (EF), the resulting alternate interior angles are equal.

Therefore,

y = (3x + 10)

z = (7x + 10)

Substituting y = (3x + 10) into (7x + 10) + y = 180 and solving for x:

⇒ (7x + 10) + (3x + 10) = 180

⇒ 10x + 20 = 180

⇒ 10x = 160

⇒ x = 16

Calculate angle y and angle z by substituting the found value for x into their equations:

y = 3(16) + 10 = 58°

z = 7(16) + 10 = 122°

Answer: 78

Step-by-step explanation:

Step 1:

Substitute the variables in:

6(9) - 8(-3)

Step 2:

Multiply to get rid of the parentheses:

54 - -24 = 54 + 24 (the two negatives cancel out)

Step 3:

Add, and then you're done:

54 + 24 = 78

hope this helps :)

Answer:

-1.25x+2

Step-by-step explanation:

x intercept = 2.5

y intercept = 2

0-y intercept/x intercept-0 = m

0-2.5/2-0 = -1.25

Equation form:

y = m*x+b where b is  the y intercept.

m = -1.25

c = 2

To put it all together,

y = -1.25x+2

Answer:

1/3

Step-by-step explanation:

1 cup and 6 hours (5) over total (15)

5/15 simplifies to 1/3

Answer: B: 4/13, C: 3/4

B:

There were originally a total of 14 characters (including 5 blue characters) from the collection. Since the first player got a blue character, there are now 13 characters to choose from and 4 of them are blue. Therefore, the probability is 4/13.

C: If both the first and second players get blue characters, then there will be 12 characters left, and 3 of them are blue. Now we know that there are 9 characters that are NOT blue. Therefore, the probability is 9/12, or 3/4.

Answer:

y=2x-13

Step-by-step explanation:

PEMDAS

Distribute parenthesis --> y=2x-10-3

Add like numbers --> y=2x-13

Answer:

Perimeter: 37.4

Area: 74.1

Step-by-step explanation:

Perimeter is 2(5.7) + 2(13) = 11.4 + 26 = 37.4

Area is 5.7*13 = 74.1

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Answer:ssssssssssuuuuuuupp

Step-by-step explanation:

Answer:

(10-2.35)/.75 =10.2 miles.

Step-by-step explanation:

x2^-3x+1

Step-by-step explanation:

All you have to do is the 3 Forms of Quadratic Equations

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

Answer:

A.

Step-by-step explanation:

By using elimination, you get 0 = 1, which isn't a solution.

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Answer:

The first answer choice (3x + y = 8 and 3x + y = 9)

Step-by-step explanation:

You can't have 3x + y equal 8 and 9.

It must only be 1 value.

Answer: There is no slope

Step-by-step explanation:

These points form a straight line. You can tell because both of their x coordinates are -1 which means they are a straight line when formed. If both coordinates have the same x (sign and number) they form a straight line.

Roderigo will pay $7353.80 in interest.

Interest capitalization means the interest earned is added to the principle amount so first we will use compound interest formula.

[tex]Amount=p(1+\frac{r}{n} )^{nt}[/tex]

p = 8575

r = 7.1% or 0.071

n = 12

t = 4

Putting the values in formula we get

[tex]Amount=8575(1+\frac{0.071}{12} )^{12(4)}[/tex]

[tex]Amount=8575(1+\frac{0.071}{12} )^{48}[/tex]

Solving this we get;

Amount = $11381.94

For the next part we have EMI formula as,

[tex]EMI=\frac{pr(1+r)^{n} }{(1+r)^{n-1}}[/tex]

p = 11381.94

[tex]r=\frac{7.1}{\frac{12}{100} }=0.005917[/tex]

[tex]n=(12)(10)\\n=120[/tex]

[tex]EMI=\frac{11381.94(0.005979)(1+0.005979)^{120} }{(1+0.005979)^{120}-1}[/tex]

EMI = $132.74

Now total payments made in 120 months (10 years) =

[tex]132.74(120)=15928.80[/tex]  dollars

interest paid =

[tex]15928.80-8575=7353.80[/tex] dollars

Hence, Roderigo will pay $7353.80

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Answer:

This process is called

Producing. underwriting.

Step-by-step explanation:

Answer:

to make the full cake the strawberries required will be (4/3) cups.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: [tex]15^{2} - 12^{2} \\= 81 = 9^{2}[/tex]

Answer:

[tex]circumference \: = 2 \times 3.14 \times 3 = 18.84[/tex]

Answer:

375km

Step-by-step explanation:

The tourist has already covered 3% of the journey.

So the remaining distance to be covered is 64% f the total journey.

(100% - 36% = 64%)

Therefore 64% of the journey = 240km

Then 100% of the journey:

  y km --> 100%

  240 km --> 64%

Total length of the route = 240 km * (100/64) = 375km

The angle measure of each inscribed quadrilateral is as follows;

10

∠P = 90°

∠R = 90°

∠Q = 140°

∠S = 40°

11.

∠A = 70°

∠C = 110°

∠ B  = 115°

∠D = 55°

12.

∠B = 100°

∠D = 80°

∠E = 141°

∠C = 39°

13.

∠V = 101°

∠T  = 79°

∠U = 86°

∠W = 94°

A cyclic quadrilateral has all it vertices on the circumferences of the circle .   opposite angle of a cyclic quadrilateral add up to 180 degrees. The sum of the whole angles add up to 360 degrees. Therefore, tha angle measure of each inscribed quadrilateral is as follows

10.

5x + 20 + 7x - 8 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = 168 / 12

x = 14

Therefore,

11.

4z - 10 + 10 + 5z = 180

9z = 180

z = 20

Therefore,

12.

1 / 2 z + 1 / 4 z + 30 = 180

3 / 4 z + 30 = 180

3 / 4 z = 150

3z = 600

z = 600 / 3

z = 200

Therefore,

13.

15y - 4 + 12y - 5 = 180

27y = 180 + 9

y = 189 / 27

y = 7

14 + 4x + 6x - 14 = 180

10x = 180

x = 18

Therefore,

learn more on quadrilateral here: https://brainly.com/question/9177423

Replace x in y in the equation and see if it is true:

5x + 3y = -4

5(-5) + 3(7) = -25 + 21 = -4  

(-5,7) is a solution

5(1) + 3(-3) = 5 + -9 = -4

(1,-3) is a solution

Answer:

-3=-2 -2=-1 -1=0 0=1 1=2 2=3 3=4

Step-by-step explanation:

You add one to each of the listed numbers due to the question being x+1 so you take all of your x´s and add one raising their amount up by 1

Answer:

2(x-4)+2(2x+5)

Step-by-step explanation:

The perimeter of a rectangle is 2(length)+2(width). Thus, the side values can be simply plugged into this equation.

Answer:

P = 2(2x+5) + 2(x-4)

Step-by-step explanation:

Perimeter is found by adding all sides

(2x+5) + (2x+5) + (x-4) + (x-4)

Notice there are two sets of sides.

Step-by-step explanation:

y= -200 - 72

y= -272

because -a - b = -x

this is a formula

Answer:

7) A    8) C

Step-by-step explanation:

number 7 tells us that y=x+1

so we just basically plug it in

2x+3(x+1)=4  Answer: A

to eliminate x's in number 8, we have to multiply one of the equations by -1

let's multiply the second one

4x+3y=6

4x ·-1-y·1=2·-1

4x+3y=6

-4x+y=-2

x's eliminate

4y=4, meaning that the answer is C

Answer:

C

Step-by-step explanation:

A) a(n) = 8n - 15

this is incorrect because if n = 3, then a = 9 not 1.

B) a(n) = -8n-15

this is incorrect because if n = 3, then a = -39 not 1.

C) a(n) = 8n-23

this is correct because if n = 3, then a = 1, and if n = 9, then a = 49.

D) a(n) = -8n-23

this is incorrect because if n = 3, then a = -47 not 1.

Hope this helps!

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Answer:

a) Right triangle b) Obtuse triangle c) equilateral triangle.  

Step-by-step explanation:

A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.