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Juli2301 [7.4K]
3 years ago
10

KEVIN'S GAS TANK IS 1/6 FULL. AFTER HE BUYS 14 GALLONS OF GAS, IT IS 3/4 FULL. HOW MANY GALLONS CAN KEVIN'S TANK HOLD?

Mathematics
2 answers:
Reika [66]3 years ago
5 0

\frac 1 6 t  + 14 = \frac 3 4 t


14 = (\frac 3 4 - \frac 1 6)t = (\frac 9{12} - \frac{2}{12}) t = \frac {7}{12} t


t = \frac{12}{7} (14) = 24


Answer: 24 gallons


Check: (1/6)24=4, 4+14=18, 18/24=3/4, good


Nikolay [14]3 years ago
3 0
This is the answer right here!

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2V2 km<br> 2 km<br> X<br> A) 2V5 km<br> C) 2 km<br> B) 2V3 km<br> D) 4 km<br> HELP PLEASEE
Rasek [7]

Answer:

x=2\sqrt3\ km

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = 2\sqrt{2} \ km

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km

So, the value of x is equal to 2\sqrt3\ km.

3 0
3 years ago
Find the term indicated in the expansion. (x - 3y)11; 8th term
Alja [10]
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11,  k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
 =( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1  )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
 
8 0
3 years ago
Read 2 more answers
Need help on both of them
Vlad1618 [11]
7) Write the decimal number as a fraction
(over 1)
2.18 = 2.18 / 1

Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's

Numerator (N)
N = 2.18 × 10 × 10 × 10 = 2180
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000

N / D = 2180 / 1000

Simplifying our fraction

= 2180/1000

= 109/50

= 2  9/50

8)7 ^{-5}  =  \frac{1}{7^{5}}
6 0
3 years ago
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amo
Veronika [31]

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

where,

$320 = revenue made before any payment

$7.50 = amount paid for a customer choosing a competitor

p = number of customers

6 0
2 years ago
Read 2 more answers
The equation below represents the function p.
svet-max [94.6K]
Answers:

1)Tthe first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) the y-intercept of the function p is greater than the y-intercept of the function q.


Explanation:


1) Value of the functions as x increases.


Function p:

p(x)=  ( \frac{2}{5} )^{x} -3

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 =  -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

4 0
3 years ago
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