Using the following image, apply what you have learned about linear pairs and solve for

Answer:

Step-by-step explanation:

[tex]y = 7x + 1.\\(6,-5)\\m= 7\\x1= 6\\y1 = -5\\y-y1=m(x-x1)\\y-(-5) = 7(x-6)\\y+5=7x-42\\y=7x-42-5\\y = 7x-47[/tex]

Answer:

D

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{n} }{a^{m} }[/tex] = [tex]\frac{1}{a^{(m-n)} }[/tex]

Given

[tex]\frac{25a^{-5}b^{-8} }{5a^{4}b }[/tex]

= [tex]\frac{25}{5}[/tex] × [tex]\frac{a^{-5} }{a^{4} }[/tex] × [tex]\frac{b^{-8} }{b^{1} }[/tex]

= 5 × [tex]\frac{1}{a^{(4-(-5))} }[/tex] × [tex]\frac{1}{b^{(1-(-8))} }[/tex]

= 5 × [tex]\frac{1}{a^{9} }[/tex] × [tex]\frac{1}{b^{9} }[/tex]

= [tex]\frac{5}{a^{9}b^{9} }[/tex] → D

Answer:  

4/7

Step-by-step explanation:  Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

Answer:

15%

Step-by-step explanation:

[tex]\frac{76.50}{90}=\frac{x}{100}[/tex]         Set up a proportion.

[tex]90x=7,650[/tex]      Cross-multiply.

[tex]x=85[/tex]               Divide both sides by 90.

[tex]100-85=15[/tex]    The discounted price is 85% of the regular price so the                                          

                        discount is 15%.

Answer:

b

Step-by-step explanation:

The correct answer for the given problem above would be option B.

⇒ Fran must work 17 hours per week to meet her goal.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, According to the given details,

Fran works 15 hours per week for $225 which makes it $15 per hour.

Hence, If she adds another 2 hours per week to make it 17 hours,

Then, she will earn $255 dollars per week.

Now, since she is saving $40 dollars plus the two hours which is $30, a total of $70 per week of savings, multiplied by 20 weeks, then, she will be able to get $1,400.

Hence, The correct answer for the given problem above would be option B.

⇒ Fran must work 17 hours per week to meet her goal.

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Answer:

12(r-t)

Step-by-step explanation:

12r - 12 t

we take 12 comman factor

Answer:

£3.50

Step-by-step explanation:

£4.90 = 7/8

£4.90/(7/8) = £5.60 (Total Amount of Money)

£5.60 x (5/8) = £3.50

Answer:

£3.50

Step-by-step explanation:

    [tex]\frac{7}{8}[/tex] = £4.90

(÷7)              (÷7)

    [tex]\frac{1}{8}[/tex] = £0.70

(×5)              (×5)

    [tex]\frac{5}{8}[/tex] = £3.50

I hope this helps <3

Answer:

Is D

Step-by-step explanation:

Because is moving four times right and four times down.

Answer:

b.

Step-by-step explanation:

Answer:

b) 75

Step-by-step explanation:

The totalnumber of combinations are: 5×3×5 = 75

You have 5 choices for a drink and for each drink you have 3 choice for a sandwich and for each chosen sandwich you have 5 choices for a side.

a combination is :

( drink , sandwich, side )

  5      ×    3         ×  5

Answer:

The area of trapezoid is 39.6cm²

Step-by-step explanation:

Given that the formula of area of trapezoid is A = 1/2×(a+b)×h where a and b is the length and h is the height. So you have to substitute the values into the formula :

[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]

[tex]let \: a \: = 8.9 \\ let \: b \: = 5.5 \\ let \: h \: = 5.5[/tex]

[tex]area = \frac{1}{2} \times (8.9 + 5.5) \times 5.5[/tex]

[tex]area = \frac{1}{2} \times 14.4 \times 5.5[/tex]

[tex]area = \frac{1}{2} \times 79.2[/tex]

[tex]area = 39.6 {cm}^{2} [/tex]

 Answer: The area is 39.6

Step-by-step explanation:

First multiply 5.5×5.5= 30.25

Then subtract 8.9 - 5.5=3.4

Then multiply 5.5 x 3.4=18.7

Divide 18.7/2=9.35

Add 30.25 + 9.35 =39.6

b x h ÷2

[tex]l *w=a[/tex]

Hope this helps.

Answer:

x+3

Step-by-step explanation:

sqrt(x^2+6x+9)

factor

We know this is a perfect square trinomial

sqrt(( x+3)^2)

Taking the square root of a square

x+3

Answer:

14

Step-by-step explanation:

(1*1)+(2*2)+(3*3)

1+4+9

5+9

14

Answer:

90 micrometers / 1,000,000 = 0.00009  meters =

9 x 10^-5 meters

Step-by-step explanation:

Answer:

0.9 x 10^-4

Step-by-step explanation:

its pretty simple lol

Answer:

8.49

Step-by-step explanation:

8 + .49 = 8.49     :)

Answer:

1/3

Step-by-step explanation:

Scale factor = 4/12 = 1/3

Answer:

67

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Answer:

[0, infinity)

Step-by-step explanation:

The domain is including all numbers from 0 to infinity.

The reason negative numbers are not included is because of the [tex]\sqrt{x}[/tex]. A negative number cannot be included there, otherwise it would be what's called an "imaginary number" (i).

Therefore, every number besides negative numbers are included in the domain.

Answer:

sqrt(6x^2+18x)

Step-by-step explanation:

sqrt(6x) * sqrt(x+3)

We know sqrt(a)sqrt(b) = sqrt(ab)

sqrt(6x * (x+3))

sqrt(6x^2+18x)

Answer:

[tex]\text{B. } \sqrt{6x^2+18x}[/tex]

Step-by-step explanation:

[tex]\sqrt{6x}\sqrt{x+3}[/tex]

[tex]\sqrt{6x(x+3)}[/tex]

[tex]\sqrt{6x^2+18x}[/tex]

Answer: C or 2 seconds.

Step-by-step explanation:

To find the vertex in a standard form equation: (-b/2a,f(-b/2a))

plug it in: -64/2*-32 = 2

Answer:

15/20 and 18/20

Step-by-step explanation:

Least common denomintor of 3/4 and 9/10 = least common multiple of 4 and 10

multiples of 4: 4, 8, 12, 16, 20

multiples of 10: 10, 20

Least common denominator = 20

Rewrite fractions: 15/20 and 18/20

3/4 and 9/10 using the least common denominator is 15/20 and 18/20.

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, are two fractions 3/4 and 9/10 we know the LCM of 4 and 10 is 20.

∴ (3×5)/(4×5) and (9×2)/(10×2).     (we have to multiply same constant to the  

                                                         fraction to retain it's original value).

So,  3/4 and 9/10 using the least common denominator is 15/20 and 18/20.

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Answer: 77 percent

Step-by-step explanation:

The value of the stock decrease by 23.13%.

The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

Given:

The price of the stock was $35.48.

Then The price of the stock is $27.36.

So, the decrease in amount= 35.48 - 27.36 = 8.12

Then, percent decrease

= 8.12/ 35.48 x 100

= 23.13%

Hence, the percent decrease is 23.13%.

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Answer:

CD = 3.9 (if you round up then it would be 4)

Step-by-step explanation:

6.5 - 2.6 = 3.9

Answer:

[tex]ange a is 5[/tex]

angle b is 20

Answer:

angle a is 40

angle b is 20

amgle c is 120

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius of the circle=12 cm / 2=6 cm

Area of the square=side²=(12 cm)²=144 cm²

Area of the circle=πr²=(3.142)(6 cm)²≈(3.142)*36 cm²≈113.112 cm²

Area of the four  sides between the square and the circle=

=Area of the square - area of the circle=144 cm²-113.112 cm²=30.888 cm²

shaded area =30.888 cm²/4=7.722 cm²

Answer =7.722 cm²

Step-by-step explanation:

Find the cost of one part and then multiply that number by 9

B.) | 12, 7, 17, -22 |

The complete question is attached below:

A set of numbers arranged in rows and columns so as to form a rectangular array.

Given:

[tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right]* \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]

  [ 12x - 13 y

   17x - 22y ]     =  [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]

As we need to find Ay for that the matrix on RHS of equal sign [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex] is to be putted in the matrix  [tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right][/tex]  

Hence, Ay = [tex]\left[\begin{array}{ccc}12&7\\17 & -51\end{array}\right][/tex]

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Answer:

132

Step-by-step explanation:

13x2= 26 26+18 = 44

44x3=132

Answer:

Refer to the screenshots provided

Answer: look at the screenshots

Step-by-step explanation: Hope it helps ;)