jimmy has a 60 gallon limit if he already has 1/4 of it how much more does he need to fill up the entire 60 gallons of gas? why?

Answers

Answer 1

Answer: I think 60 - 25 = 35 because, 1/4 is equal to a quarter for example: 3/4 is 75. Think of money! Act like someone gives you 2/4’s of Quarters and how much do they give you? 50 cents.

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Find the equation of the circle whose center and radius are given.center ( 7, -3), radius = 7

Answers

Answer: The required equation of the circle is $x^2+y^2-14x+6y+9=0.$

Step-by-step explanation: We are given to find the equation of the circle with center at the point (7, -3) and radius of length 7 units.

We know that

the standard equation of a circle with center at the point (h, k) and radius of length r units is given by

$(x-h)^2+(y-k)^2=r^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

For the given circle,

center, (h, k) = (7, -3) and radius, r = 7 units.

From equation (i), we get

$(x-7)^2+(y-(-3))^2=7^2\n\n\Rightarrow (x-7)^2+(y+3)^2=49\n\n\Rightarrow x^2-14x+49+y^2+6y+9=49\n\n\Rightarrow x^2+y^2-14x+6y+9=0.$

Thus, the required equation of the circle is $x^2+y^2-14x+6y+9=0.$

(x – h)² + (y – k)² = r²

Fill in the numbers

(x – 7)² + (y +3)² = 49

Find two consecutive numbers whose sum is 117

Answers

So,

x + y = 117
y = x + 1
x + x + 1 = 117

Collect Like Terms
2x + 1 = 117

Subtract 1 from both sides
2x = 116

Divide both sides by 2
x = 58

y = x + 1

y = 58 + 1

y = 59

The 2 consecutive integers are 58 and 59.

$n+n+1=117\n2n=116\nn=58\nn+1=59$

These numbers are 58 and 59.

Find the value of the expression 4a to the fourth power - 2b squared +40 when a =2 and b=7

Answers

4a^4 -2b^2 +40
a=2
b=7
4(2)^4 -2(7)^2 +40
PEMDAS is what your gonna use to solve this you go from right to left

First is P which is parentheses which is none
second is E which stands for exponents
4(32)-2(49)+40
now MD multiply or divide
128-98+40
now add or subtract
30+40
last one
70 this is your answer i hope

Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.

Answers

Answer:

x times 8 I'm pretty sure

Functions f(x) and g(x) are both increasing. In addition, the range of g is in domain of f. Prove that composite function f(g(x)) is increasing

Answers

f: D -> E;
g: F -> G, where, g(F) is in D;

Let be x1, x2 ∈ F, with x1 < x2;
But, g(x1) < g(x2), because g is increasing; => f(g(x1) < f(g(x2) , because f is increasing =>
f(g(x) is increasing.

How else can the ratio 14:1 be written?

A. 1:14 B. 1.4 C. 1⁄14 D. 14⁄1

Answers

You can write the ratio in fraction form.
So, we are given 14:1
fraction form will be $(14)/(1)$
So correct option is D

14 /1 will be the correct answer

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