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4 years ago

PLEASEEEE HELPPPPP!!!

Mathematics

1 answer:

Taya2010 [7]4 years ago

4 0

(1, 3.5 ) and (3, 3.5 )

the endpoints of the midsegment are at the midpoints of DE and DF

using the midpoint formula with D(0, 7), E(2, 0), F(6, 0)

midpoint of DE = [ $\frac{1}{2}$ (0 + 2), $\frac{1}{2}$ (7 + 0)] = (1, 3.5)

midpoint of DF = [ $\frac{1}{2}$ (0 + 6), $\frac{1}{2}$ (7 + 0)] = (3, 3.5)

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A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti

andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

$A + B = 30$

Then the total amount of pure antifreeze in the mixture will be:

$0.2A + 0.7B = 0.35 * 30$

$0.2A + 0.7B = 10.5$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

$-0.7A -0.7B = -0.7*30$

$-0.7A -0.7B = -21$

$0.2A + 0.7B = 10.5$

--------------------------------------

$-0.5A = -10.5$

$A = \frac{-10.5}{-0.5}$

$A = 21\ gallons$

We substitute the value of A into one of the two equations and solve for B.

$21 + B = 30$

$B = 9\ gallons$

3 0

3 years ago

13. For the arithmetic sequence: 6, 12, 18, 24,...

serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6$

The general form for arithmetic sequence is:

$a_n=a_1+(n-1)d$

Putting the values for a_1 and d

$a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n$

$a_{15} = 6(15)\\=90$

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

julie grows apples. the first year she planted 6 seeds. the second year she planted 18 seeds. the third year she planted 54 seed

luda_lava [24]

Answer:

90-96

Step-by-step explanation:

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3 years ago

A stand at a farmers market sells different types of apples as shown in the table. which type of apple cost the least per pound?

viktelen [127]

Answer:

Where is the table?

Step-by-step explanation:

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3 years ago

$21 is what percent of $4?

sergiy2304 [10]

Answer:

0.84 U.S. dollars2

Step-by-step explanation:

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3 years ago