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3 years ago

Given that X = - 2 and y = 4 , Evaluate the expression. 5y – 4x

Mathematics

1 answer:

Kipish [7]3 years ago

4 0

Answer: 28

Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.

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Melinda donated fudge for the school bake sale. She wrapped 80 pieces of fudge. Each piece of fudge weighed 1 ounce. How many po

xxMikexx [17]

Answer:

Melissa wrapped 5 pounds of fudge

Step-by-step explanation:

This is the correct question

Melinda donated fudge for the school bake sale. she wrapped 80 pieces of fudge. each piece of fudge weighed 1 ounce. how many pounds of fudge did melinda wrap?

In this question, we are asked to calculate the pounds of fudge wrapped by Melinda.

Firstly, we need to calculate the total weight of the fudge wrapped by Melinda in pounds.

From the question , we can identify that she wrapped 80 fudge with each of the fudge weighing 1 ounce each.

The total weight of all the fudge wrapped in ounces would be 80 * 1 = 80 ounces

Now, let’s convert this weight in ounces to pounds.

Mathematically, there are 16 ounces in a pound.

Hence, the weight in pounds of 80 ounces would be; 80/16 = 5 pounds

6 0

4 years ago

Read 2 more answers

Use a sum or difference formula to find the exact value of the trigonometric function. sine startfraction 7 pi over 12 endfracti

VARVARA [1.3K]

We have that
sin (7π/12)=?

we know that
7π/12=(π/4+π/3)
and
sin(A+B)=sin(A)cos(B)+cos(A)sin(B)

then
sin(π/4+π/3)=sin(π/4)cos(π/3)+cos(π/4)sin(π/3)
sin(π/4+π/3)=(√2/2)(1/2)+(√2/2)(√3/2)-------> (√2/4)+(√6/4)---> (√2+√6)/4

the answer is (√2+√6)/4

4 0

3 years ago

What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brot

Nat2105 [25]

Answer:

(b) is true

Step-by-step explanation:

Given

Molly

$a = 500$ --- starting balance

$m = 10$ --- monthly rate

Her brother

$a = 100$ ---- starting balance

$r = 10\%$ --- annual rate

Required

Determine which option is true

First, we calculate her brother's function.

The function is an exponential function calculated as:

$y = ab^x$

Where $b = 1 + r$

So, we have:

$y = ab^x$

$y = 100 *(1 + 10\%) ^x$

$y = 100 *(1 + 0.10) ^x$

$y = 100 *(1.10) ^x$

Hence:

$g(x) = 100 *(1.10) ^x$

Next, we calculate Molly's function (a linear function)

The monthly function is:

$y = mx + a$

So, we have:

$y = 10x + 500$

Annually, the function will be:

$y = 10x*12 + 500$

$y = 120x + 500$

So, we have:

$f(x) = 120x + 500$

At this point, we have:

$f(x) = 120x + 500$ ---- Molly

$g(x) = 100 *(1.10) ^x$ ---- Her brother

Next, we test each option

(a): Molly's account will have a faster rate of change over [32,40]

We calculated Molly's function to be:

$y = 120x + 500$

The slope of a linear function with the form: $y = mx + b$ is m

By comparison:

$m = 120$

Since Molly's account is a linear function, the rate of change over any interval will always be the same; i.e.

$m = 120$

For his brother:

Rate of change is calculated using:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(40) - g(32)}{40 - 32}$

$m = \frac{g(40) - g(32)}{8}$

Calculate g(40) and g(32)

$g(x) = 100 *(1.10) ^x$

$g(40) = 100 * 1.10^{40} =4526$

$g(32) = 100 * 1.10^{32} = 2111$

So, we have:

$m = \frac{4526 - 2111}{8}$

$m = \frac{2415}{8}$

$m = 302$

By comparison: $302 > 120$

Hence, her brother's account has a faster rate over [32,40]

(a) is false

(b): Molly's account will have a slower rate of change over [24,30]

$m = 120$ --- Molly's rate of change

For his brother:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(30) - g(24)}{30 - 24}$

$m = \frac{g(30) - g(24)}{6}$

Calculate g(30) and g(24)

$g(x) = 100 *(1.10) ^x$

$g(40) = 100 * 1.10^{30} =1745$

$g(32) = 100 * 1.10^{24} = 985$

So, we have:

$m = \frac{g(30) - g(24)}{6}$

$m = \frac{1745 - 985}{6}$

$m = \frac{760}{6}$

$m = 127$

By comparison: $127 > 120$

Hence, Molly's account has a slower rate over [24,30]

(b) is false

(c): Molly's account will have a slower rate of change over [0,4]

$m = 120$ --- Molly's rate of change

For his brother:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(4) - g(0)}{4 - 0}$

$m = \frac{g(4) - g(0)}{4}$

Calculate g(4) and g(0)

$g(x) = 100 *(1.10) ^x$

$g(4) = 100 * 1.10^4 =146$

$g(0) = 100 * 1.10^{0} = 100$

So, we have:

$m = \frac{g(4) - g(0)}{4}$

$m = \frac{146 - 100}{4}$

$m = \frac{46}{4}$

$m = 11.5$

By comparison: $120>11.5$

Hence, Molly's account has a faster rate over [0,4]

(c) is false

4 0

3 years ago

3/4 x 5/6 equals what

SVETLANKA909090 [29]

Answer:

5/8

You just have to multiply the bottom and the top then simplify

7 0

3 years ago

Be sure to label your answer.

nevsk [136]

In a circle, the measure of an inscribed angle is half the measure of the intercepted arc ⇒
arc BAD = 2*∠BCD = 2*104 = 208°

arc BCD = 360 - arc BAD = 360 - 208 = 152°

7 0

3 years ago