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3 years ago

5

Nova receives a bill for her cell phone each month. She pays a flat fee of $35 plus $0.05 per text message. This month, her bill

without taxes was $51.50. Which equation gives the number of text messages, t, she sent this month?

1 answer:

Ad libitum [116K]3 years ago

3 0

35 + 0.05 * t is the correct equation i believe.

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A $52 game is on sale for 20%<br> off. if the sale tax id 6%, how much will the game cost?

laila [671]

Answer:

$44.10

Step-by-step explanation:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer.

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3 years ago

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Andrew is building a scale model of an elephant. He determines that a real elephant is 10 feet tall and 14 feet long. If Andrew

Deffense [45]

<h3>Answer: 11.2 inches</h3>

Work Shown:

(real height)/(scale height) = (real length)/(scale length)

(10 feet)/(8 inches) = (14 feet)/(x inches)

10/8 = 14/x

10x = 8*14

10x = 112

x = 112/10

x = 11.2 inches

8 0

2 years ago

Solving systems of equations using any method

andreev551 [17]

Answer:

x = 5 , y = 2

Step-by-step explanation:

Solve the following system:

{y = (7 x)/5 - 5 | (equation 1)

{y = (3 x)/5 - 1 | (equation 2)

Express the system in standard form:

{-(7 x)/5 + y = -5 | (equation 1)

{-(3 x)/5 + y = -1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x)/5 + y = -5 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 1 by 5:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 2 by 7/4:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+y = 2 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(7 x)+0 y = -35 | (equation 1)

{0 x+y = 2 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 5 | (equation 1)

{0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 5 , y = 2

7 0

3 years ago

In triangle △ABC, ∠C is a right angle and CD is the altitude to AB. Find the angles in △CBD and △CAD if m∠A = 65°

adell [148]

Simple drawing shows that measure interior angle at B is 25 degrees.

Easily seen from a drawing are that measure of angle CBD is 25 degrees, and measure of angle CAD is 65 degrees (which was already given).

Heres the plot formula!

6 0

2 years ago

PLEASE HELP ASAP!!

BabaBlast [244]

Answer:

The first term of the sequence is -120.

Step-by-step explanation:

The formula for the "nth" term of a geometric sequence is shown below:

an = a0*r^(n-1)

Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:

a0*r^(n-1) = an

a0 = an/[r^(n-1)]

We then apply the data given to us

a0 = 31.45728/[-0.8^(7-1)]

a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120

The first term of the sequence is -120.

4 0

3 years ago