While walking for exercise, Mia is able to walk only 3\4 as far on Saturday she walks 1 1/2 miles. How many miles did she walk Friday

Answers

Answer 1

Answer: $1(1)/(2) - (3)/(4)$
$(3)/(2) - (3)/(4)$
$(6)/(4) - (3)/(4)$
= $(3)/(4)$

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Together Sarah and lance have $60. If lance has six more than twice as much as Sarah, how much does each have?

Answers

Answer:

Sarah has $18, and Lance has $42.

Step-by-step explanation:

We know that Sarah and Lance together have $60, so we can write the equation:

S + L = 60

We also know that Lance has six more than twice as much as Sarah, which can be expressed as:

L = 2S + 6

Now, we have a system of two equations:

S + L = 60

L = 2S + 6

We can use substitution or elimination to solve this system. Let's use substitution:

From equation 2, we can express L in terms of S:

L = 2S + 6

Now, substitute this expression for L into equation 1:

S + (2S + 6) = 60

Combine like terms:

3S + 6 = 60

Subtract 6 from both sides:

3S = 60 - 6

3S = 54

Now, divide by 3:

S = 54 / 3

S = 18

So, Sarah has $18.

Now, we can find Lance's amount using equation 2:

L = 2S + 6

L = 2(18) + 6

L = 36 + 6

L = 42

Lance has $42.

Solve for K.
3/6 = k /18

Answers

The value of k is 9.

Jim received a $2000 loan from his bank. The loan accrues 3% interest every 3 months. How much will Jim owe the bank after 4 years? Round to the nearest cent

Answers

Compound interest is the addition of interest. The interest that is needed to be paid by Jim in the 4 years of tenure is $2253.98.

What is compound interest?

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

$A = P(1+ (r)/(n))^(nt)$

We know that the Principal amount received by Jim is $2000, while the interest that Jim needs to pay is 3% quarterly, therefore, he needs to pay the interest 4 times a year. Thus, the value of n is 4.

Now, we know all the values therefore, substitute the values in the formula of compound interest,

$A = P(1+ (r)/(n))^(nt)$

$A = 2000(1+ (3)/(4))^(4 * 4)\n\nA = \$2,253.98$

Hence, the interest that is needed to be paid by Jim in the 4 years of tenure is $2253.98.

Learn more about Compound Interest:

brainly.com/question/25857212

Answer:

$2253.98

Step-by-step explanation:

Jim received a $2000 loan from his bank. The loan accrues 3% interest every 3 months.

$A=P(1+(r)/(n) )^(nt)$

P=2000

r= 3%=0.03 and t= 4 years

interest every 3 months so n= 4

$A=2000(1+(.03)/(4) )^(4 \cdot 4)$

$A=2000(1+(.03)/(4) )^(16)\nA=2000(1.0075)^(16)\n\nA=2253.98$

Enter the value of 18 + t2 - 5x3 when t = 4

Answers

Answer:

Step-by-step explanation:

If t=4

18+t2 would equal “26”

Then 26x3 would be “78”

Final answer:

When t = 4, the part of the equation 18 + t^2 evaluates to 34. We cannot compute - 5x^3 without the value of x.

Explanation:

The subject of the question is Mathematics, more specifically, the topic of algebraic expressions. Given an equation, 18 + t^2 - 5x^3, you'd like to find the value when t = 4. However, the value of x is not provided which is required to fully solve this expression. If we ignore the variable x, and only substitute the value of t in the expression, it will be:

18 + 4^2 = 18 + 16 = 34.

So, when t = 4, the part of the equation 18 + t^2 evaluates to 34. However, we cannot calculate - 5x^3 without having the value of x.

Learn more about Algebraic Expressions here:

brainly.com/question/34192827

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What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?mm2

Answers

158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=2(wl+hl+hw) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)

"The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?

Answers

G(x)=x²
The graph has moved to the right 4 units, therefore the new graph will be:
H(x)=(x-4)²

It has also move 4 units up, therefore the new graph will be:
F(x)=(x-4)²+4

Answer:
F(x)=(x-4)²+4

y = (x - 4)² + 4

or y = x² - 8x + 20

Further explanation

Transformation of a graph is changing the shape and location of a graph.

There are four types of transformation geometry: translation (or shifting), reflection, rotation, and dilation (or stretching).

In this case, the transformation is shifting horizontally or vertically.
Translation (or shifting): moving a graph on an analytic plane without changing its shape.
Vertical shift: moving a graph upwards or downwards without changing its shape.
Horizontal shift: moving a graph to the left or right downwards without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:

$\boxed{ \ y = f(x) + v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ upward v units.
$\boxed{ \ y = f(x) - v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ downward v units.

That's the vertical shift, now the horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:

$\boxed{ \ y = f(x + h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the left h units.
$\boxed{ \ y = f(x - h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the right h units.

Hence, the combination of vertical and horizontal shifts is as follows:

$\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}$

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right

Given: $\boxed{ \ g(x) = x^2 \ becomes \ f(x) = ? \ }$

In the graph, notice the shifting of the vertex from (0, 0) to (4, 4).

From this, we can describe that from g(x) to f(x) there has been a shift to the right 4 units and upward 4 units.

Let us construct f(x) from g(x).

$\boxed{ \ g(x) = y = x^2 \ } \rightarrow \boxed{ \ f(x) = y = (x + h)^2 + v \ }$

We set h = -4 and v = +4 and we get the equation f(x) as

$\boxed{\boxed{ \ f(x) = (x - 4)^2 + 4 \ }}$

Let's expand it if we want to represent a standard form of a quadratic function, like this:

$\boxed{ \ f(x) = x^2 - 8x + 16 + 4 \ }$

$\boxed{\boxed{ \ f(x) = x^2 - 8x + 20 \ }}$

Conclusion

The graph of f(x) is drawn by the combination of shifting the graph of g(x) to the right 4 units and upward 4 units.

Learn more

Transformations that change the graph of (f)x to the graph of g(x) brainly.com/question/2415963
The similar problem brainly.com/question/1369568
Determine the coordinates of the image of a point after the triangle is rotated 270° about the origin brainly.com/question/7437053

Keywords: transformations, the graph of f(x), resembles, g(x) = x², f(x) = (x - 4)² + 4, y = x² - 8x + 20, translation, shifting, right, upward, horizontal, vertical

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