5 points
Cyndi has $55. Her sister has $115. Cyndi saves $10 per week. Her sister saves $6 per week. How many weeks will it
take for Cyndi and her sister to have the same amount of money? Write an equation and solve.

Answer:

= 8x^2 + 12xy − 56y^2

Step by step:

(2x+7y)(4x−8y)

=(2x+7y)(4x+−8y)

=(2x)(4x)+(2x)(−8y)+(7y)(4x)+(7y)(−8y)

=8x^2−16xy+28xy−56y^2

=8x^2+12xy−56y^2

Answer:

-20/3

Step-by-step explanation:

it would be 7-5/3b-b=10

2/3b-b=10 then multiply 2 on both sides

3b-b=20 divide 3 on both sides

20/3

-b=20/3

-b/1=20/3 cross multiply

-20/3

The value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1 and this can be determined by using the two point slope formula

Given :

The formula of the slope when two points are given can be used in order to determine the value of 'b'.

The formula of the slope is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope of the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Now, substitute the values of known terms in the above formula in order to determine the value of 'b'.

[tex]\rm 10 =\dfrac{7-5}{3b-b}[/tex]

Simplify the above expression.

[tex]\rm 10 =\dfrac{2}{2b}[/tex]

Cross multiply in the above expression.

20b = 2

b = 0.1

So, the value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1.

For more information, refer to the link given below:

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Answer:

26

Step-by-step explanation:

a sabeeeer

Step-by-step explanation:

Answer:

3,18    4,27

Step-by-step explanation:

Answer:

4:18 and 6:27

Step-by-step explanation:

Since ratios can also be written as a fraction, multiply the fractions by any whole number of your choosing.

2/9*2=4/18

2/9*3=3/27

question one

180 - 6 = 174 ( c )

because angles on a straight line are 180 !

question two

AB = 6 units

AC = 8 units

( i just counted the boxes )

BC = square root ( 36 + 64 ) = 10

( pythagorus’ theorum )

6 + 8 + 10 = 24 units ( b )

im late but :(

Answer:

1. C

2. B

Step-by-step explanation:

hope this helped <33

bye hope ur day is good :)

Answer:

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, thus

8x + 2 = 90 ( subtract 2 from each side )

8x = 88 ( divide both sides by 8 )

x = 11

Answer:

4=x

Step-by-step explanation:

y=-x+4

y=2x-8

-x+4=2x-8

+x       +x

4=3x-8

+8   +8

12=3x

/3   /3

4=x

Answer:

The domain of 2(x-2)+4 is all real numbers, as well as for 2-(x-2)+4

Step-by-step explanation:

Answer:

they are gonna go down in value

Step-by-step explanation:

Answer:

down

Step-by-step explanation:

If the value in the perenthesis is a decimal it is an exponential decay.

Answer:

A -2,-3, B 0,-3  C -1,1

Step-by-step explanation:

Answer:

dotted, below

Step-by-step explanation:

Answer:

(6+y) (6-y) / 6-y

Step-by-step explanation:

Answer:

Negative Infinity

Answer:

x = 5

Step-by-step explanation:

you subtract 45 from both sides

3x = 15

you divide both sides by 3

x = 5

Answer:

x = 5

Step-by-step explanation:

Answer: Bottom left

Step-by-step explanation:

Answer:

I guess it decreases by 4 everytime so -4??? If thats what your asking

Step-by-step explanation:

30,26,22,18,14,10,8,4,-2.

Answer:

A. [tex]log_{2} \frac{y}{x^5}[/tex]

Step-by-step explanation:

Answer:

( C ) log2 x5y

Answer:

Add by 4

Step-by-step explanation:

-3+4=1

1+4=5

5+4=9

9+4=13

Answer:

(3x  3 +2x  2  +5x+5)

Step-by-step explanation:

(3x3 + 2x^2 +10) +(3x3 +2x2 +10x)

(9 + 2x^2 +10) +(9+4+10x)

(19+2x^2) +(13 +10x)

now opening the brackets

19 +13 +2x^2 +10x

2x^2 + 10x +32

taking 2x common

2x(x+5) +32

Answer:

$65

Step-by-step explanation:

Given

Percentage discount = 20%

Equivalent amount saved = $13

Let the original price of the product be x

To get x;

20% of x  = 13

0.2x =  13

0.2x  = -13

0.2 = 13

x = 13/0.2

x = $65

Hence the original price of the product is $65

Answer: Balls 4 and 9 are furthest apart

Step-by-step explanation:

The 9 and 4 ball are farthest from each other.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, three billiard balls are left on the table, we need to determine which two balls are furthest apart.

So, the balls are in the shape of a triangle, we know that, the greatest angle is opposite of the largest side,

So, we will find the angles first,

Since the angles of a triangle add up to 180 degrees,

(x-5)+(2x+1)+(3x-8)=180,

6x-12=180.

x = 32.

That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees.

Based on the angles, the farthest distance would be between balls 9 and 4.

Hence, the 9 and 4 ball are farthest from each other.

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Answer:

Step-by-step explanation:

From the information given:

[tex]\mathbf{H_o: \mu = 9.7 \ hours}[/tex]

[tex]\mathbf{H_1: \mu > 9.7 \ hours}[/tex]

The type 1 error is rejecting [tex]\mathbf{H_o}[/tex] when

The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.

Answer:

m=-1/4

Step-by-step explanation:

2-1/6-10=1/-4

-1/4 is the slope

Answer:

slope is y2-y1/x2-x1

so slope is 1/-4

answer is -1/4

Answer:

Step-by-step explanation:

-7x + 12 + (-8x + 48) = 180

-15x + 60 = 180

-15x = 120

x = -8

m<BDC= -7(-8)+ 12 = 56 + 12 = 68

m<CBA = -8(-8)+48 = 64+48 = 112

Answer:

x=-8

mbdc=68

Step-by-step explanation:

bda is a straight angle

=> bdc+cda=180°

=> (-7x+12)°+(-8x+48)°=180°

=> -15x+60=180°

=> -15x=120°

=> x=-8

bdc= (-7)×(-8)+12=68°

Answer:

Its elevation relative to the sea level is -18 1/6 ft (it is 18 1/6 below sea level)

Step-by-step explanation:

Here, we want to calculate the elevation relative to sea level

The sea level refer to the base of the sea

We follow the flight procedure;

distance of 24 1/2 ft above sea level , then go further up by 5

its elevation now is 24 1/2 + 5 = 29 1/2 ft

A change of -47 2/3 ft

So the elevation now will be;

29 1/2 - 47 2/3

= 59/2 - 143/3

= (177-286)/6 = -109/6

= -18 1/6 ft

Answer:

less than one if you're math is right you should know

Step-by-step explanation:

1 is always less than 3^-3

Answer:

The options are not shown, so i will answer this in a general way.

When we have a number like:

0.7979....

The steps to writing it as a fraction are the following ones:

1) First, you need to notice the repeating decimals.

In this case is easy to see that the repeating decimals are two, 7 - 9

2)we can multiply this number by 10^n, where n is the number of repeated decimals, in this case n = 2

10^2 = 100

then:

0.7979...*100 = 79.7979...

Now we can subtract the original number:

79.7979... - 0.7979 = 79

And this is equivalent to have:

0.7979..*100 - 0.7979... = 0.7979..*99 = 79

Then we know that if we multiply our number by 99, the outcome will be an integer.

Then we can multiply and divide by the same number (this is equivalent to multiply by one) as follows:

0.7979...*1 = 0.7979..*(99)/(99)  = (0.7979..*99)/99 = 79/99

Then:

0.7979... =  79/99

Answer:

[tex]S_{inf.} - \frac{\frac{79}{100} }{1-\frac{1}{100} }[/tex]

Pretend "inf." is the infinity symbol, I couldn't put the actual symbol. It's option B.

Answer:

(x + 6)

(x - 7)

Step-by-step explanation:

To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B

B = -1

C = -42

Factors of 42:

1, 2, 3, 6, 7, 14, 21, 42

6 and -7 multiply to -42 and add to -1

Write in factored form:

(x + 6)(x - 7)

Answer:

(x - 7)(x + 6)

Step-by-step explanation:

Given

x² - x - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6 , since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

x² - x - 42 = (x - 7)(x + 6)

What solution are you trying to find here with the circumference? Radius, diameter? I need more details so I can help you out. Thanks!