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4 years ago

(Help!!)Select all the true statements.

Mathematics

1 answer:

sergij07 [2.7K]4 years ago

7 0

Answer:

the first choice, the second choice, and the last choice

Step-by-step explanation:

5 and 6 because they are alternate angles

2 and 3 because they are corresponding angles

2 and 4 because they are corresponding angles

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emma has 15 cookies and eats 2 cookies per day evan has 45 cookies and eats 8 each day how would you write and solve an equation

erastovalidia [21]

Lets say cookies = x and days = y.

2x times y = 15.

8x times y = 45.

7 0

3 years ago

Read 2 more answers

You want to save $500 for a school trip. You begin by saving a penny on the first day. You save an additional penny each day aft

irga5000 [103]

Answer:

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 1 penny = 1/100 = $0.01

d = 0.01

a) For 100 days, the sum of the first 100 terms, S100 would be

S100 = 100/2[2 × 0.01 + (100 - 1)0.01]

S100 = 50[0.02 + 0.99)

S100 = 50 × 1.01 = $50.5

b) when Sn = $500, then

500 = n/2[2 × 0.01 + (n - 1)0.01]

Multiplying through by 2, it becomes

500 × 2 = n[2 × 0.01 + (n - 1)0.01]

1000 = n[0.02 + 0.01n - 0.01]

1000 = n[0.01 + 0.01n]

1000 = 0.01n + 0.01n²

0.01n² + 0.01n - 1000 = 0

Applying the general formula for quadratic equations,

x = [-b±√(b² - 4ac)]/2a

n = - 0.01±√0.01²-4(0.01 × - 1000)]/2 × 0.01

n = (- 0.01 ± √40.001)/0.02

n = (- 0.01 + 6.32)/0.02 or

n = (- 0.01 - 6.32)/0.02

n = 315.5 or n = - 316.5

Since n cannot be negative, then n = 315.5

It will take approximately 316 days to save $500

6 0

4 years ago

Suppose Đ1 and Đ2 are known to be complementary. If mÐ1 = 20, then mÐ2 =

juin [17]

Answer:

Step-by-step explanation:

complementary angles are 2 angles that add up to 90, the first angle is already 20 so just subtract 90-20 to find other angle

6 0

4 years ago

If the equation of the line y = 2x - 6 is changed to y = -2x - 6, how is the graph changed?

-Dominant- [34]

Answer:

from sloping up to sloping down ⇒ answer D

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

function g(x) = f(-x)

* Now lets solve the problem

∵ The equation of the line is y = 2x - 6

∵ The equation is changed to y = -2x - 6

- If the both signs of x and the number are changed means the

equation is multiplied by -1

∴ The line is reflected across the x-axis

- If the sign of x only is changed

∴ The line is reflected across the y-axis

- From the equation 2x changed to -2x, but -6 not changed

∴ The sign of x only changed

∴ The line is reflected across the y-axis

* The graph is reflected across the y-axis

∴ from sloping up to sloping down

4 0

3 years ago

Read 2 more answers

Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12. The next week, Sarah bought 2 loaves o

sergejj [24]

Answer:

Here, b represents one loaf of bread and m represents the one gallon of milk.

As per the statement:

Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12.

⇒ $4b+m = 12$

It is also given that the next week, Sarah bought 2 loaves of bread and 3 gallons of milk for $13.50.

⇒ $2b+3m = 13.50$

Then; system of equation :

$4b+m = 12$ .....[1]

$2b+3m = 13.50$ .....[2]

Solve for b and m using above system of equations.

Multiply equation [2] by 2 we get;

$4b+6m = 27$ .....[3]

Subtract equation [1] from [3] we get;

$4b+6m - 4b -m= 27-12$

Combine like terms;

$5m= 15$

Divide both sides by 5 we get;

m = $3

Substitute the value of m in equation [1] we get;

$4b+3 = 12$

Subtract 3 from both sides we get;

$4b=9$

Divide both sides by 4 we get;

b = $2.25

Therefore, cost of one loaf of bread (b) and one gallon of milk (m) are:

$2.25 ad $3

3 0

3 years ago