Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles away. How much farther is Grandma's house than Aunt Millie's?

Answer:

100 : 20 : 60 Making the total number of cookies 180

Step-by-step explanation:

Looking at the basic information given we know:

If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.

So, we have equations like this:

[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]

So, if we plug in 60 for butter cookies we will have something like this:

[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60

Solving:

[tex](5/3b) : (1/3b) : b[/tex]

[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]

Then add the amounts of together to get 180.

I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.

Answer: C

Step-by-step explanation:

If you look at the patterns in the table, you will notice that y is always the square of x. So y = x^2 (C)

Answer:

c

Step-by-step explanation:

When you multiply any negative number by any power the answer is the same as the positive of that number.Just make sure you put it in like this into the calculator:

[tex](-4)^{2}[/tex]

Answer:

Step-by-step explanation:

Let the number be x

Take away 1: x -1

Then multiply the result by 3:  (x- 1) * 3 = (x-1)3 or 3x - 3

Answer:

314cm²

Step-by-step explanation:

Surface area(sphere) =4πr²

4 * 3.14 * (5²)

4 * 3.14 * 25

Hence, Surface area is 314sq.cm

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

Answer:

A

Step-by-step explanation:

Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!

Answer:

a.

Step-by-step explanation:

A non leap year has 365 days. February of a non leap year has 28 days.

365 - 28 = 337

There are 337 days in a non leap year that are not in February.

p(not February) = 337/365

Answer:

Minimum

Explanation:

This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.

Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.

Answer:

log(x + 1)inverse function y(x) = e^x + 3 - 4

Answer:

-3

Step-by-step explanation:

     Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > -4

The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

Answer:

It would be 14/11

when you make it a mixed number, it'll be 1 3/11

Step-by-step explanation:

You can't simplify it more than 3/11 so

1 3/11

Answer:

A and B both have an input that has multiple outputs so the answer is C and D.

Answer:

36/60

Step-by-step explanation:

Divide the larger denominator with the smaller denominator.

60/15 = 4

Use this number and multiply this to the numerator to get the unknown.

4*9=36

Answer:

(a) 11.64%

(b) 8.15%

Step-by-step explanation:

Airborne airlines has an annual interest of payment= $102

Principal payment= $1,000

Time to maturity= 20 years

Current price of the bond= $880

The formular for calculating the yield on maturity is

[ Annual interest payment+Principal payment-(price of the bond/number of years to maturity)] / 0.6(price of the bond) + 0.4(principal payment)

(a) [102+(1000-880)/20)]/ [0.6(880) + 0.4(1000)]

= [102+ (120/20)]/ [528+400]

= [102+6]/ 928

= 108/928

= 11.637%

= 11.64% ( to 2 decimal places)

(b) Kd= Yield(1-T)

Kd= 11.64(1-0.30)

Kd= 11.64×0.7

Kd= 8.145%

Kd= 8.15%( to 2 decimal places)

Hence the yield to maturity on the new issue is 11.64% and the aftertax cost of debt is 8.15%

Answer:

Decay factor is 0.75.

Step-by-step explanation:

The given function is  

[tex]y=760(0.75)^3[/tex]     ...(1)

The general form of exponential decay function is  

[tex]y=a(1-r)^t[/tex]    ...(2)

where, a is initial amount, t is the time period, r is decay rate and (1-r) is the decay factor.

On comparing (1) and (2), we get

[tex]a=760, t=3, (1-r)=0.75[/tex]

Therefore, the decay factor is 0.75.

Answer:

x=  4/3 and y=3

Answer:

n = 7

Step-by-step explanation:

[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]

Answer:

n = -7 ∪ 7

=> n = |7|

Step-by-step explanation:

S = 12cm = (n + 5) * (n + 5 - 10) / 2

[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]

Answer:

x = 105 km

Step-by-step explanation:

We can use ratios to solve

1 cm               15 cm

------------ = ------------

7 km            x km

Using cross products

1 * x = 7 * 15

x = 105 km

Answer:

[tex]105km[/tex]

c

Step-by-step explanation:

[tex]1cm = > 7km \\ 1cm = > 700000[/tex]

[tex]1 : 70000[/tex]

[tex]1cm = > 700000cm \\ 15cm = > x[/tex]

[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]

Use cross multiply

[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]

so,

[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]

[tex]15cm = 10,500m \\ 15cm = 105km[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

3 (negative 64 divided by 8) + 25 = 1

Step-by-step explanation:

Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14

8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20

3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1

Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3

The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25

Answer:

C

Step-by-step explanation:

i took the test

Answer:

sqrt(150)

Step-by-step explanation:

We want to write the whole number inside the radical

5 = sqrt(5*5)

We know that sqrt(a) sqrt(b) = sqrt(ab)

5 * sqrt(6)

sqrt(5*5) * sqrt(6)

sqrt(5*5*6)

sqrt(150)

Answer:

[tex]\sqrt{150}[/tex]

Step-by-step explanation:

since the 5 is out of the sqrt root, you need to ^2 to put it back in again.

[tex]5^{2}[/tex]=25

and then in the sqrt you multiply the two variables

6* 25 = 150

so the answer is sqrt{150}

Answer:

7 large notebooks and 3 small notebooks.

Step-by-step explanation:

If you take the number 5 and keep adding it to itself you will get the number 45. This should help.Therefore the answer to this word problem would be, " Alison can buy 7 large $5 notebooks. She can also buy 3 small notebooks.

Brainliest is greatly appreciated

Answered by: SKylar

6/8/2020

12:13 PM (Eastern Time)

Answer: 9 notebooks

Step-by-step explanation:

It says “what’s the maximum of large notebooks can she buy” So basically I guess just large notebooks.

Answer: Binomial factors are polynomial factors that have exactly two terms. Binomial factors are interesting because binomials are easy to solve, and the roots of the binomial factors are the same as the roots of the polynomial. Factoring a polynomial is the first step to finding its roots.

Answer: A (3, -4)

Step-by-step explanation:

A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.

If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).

4 is negative because you are going down below the x-axis.

Answer:

0.34 can be written as 34% or 34/100.

Answer:

3/10

Step-by-step explanation:

Half of 3/5 is 3/10

Brainliest plss

Answer:

3/10

Step-by-step explanation:

You multiply 3/5 by 1/2.

3/5 x 1/2= 3/10

Hope I could help :)

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

[tex]x^2 = 3x - 2[/tex]

Now let us solve for x;

[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]

* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.

Answer:

B. -5.5 + (-8.3)

Step-by-step explanation:

The plus sign is basically just saying to add the two negatives just like how you would have added the negatives without the sign.

ANSWER B. -5.5 + (-8.3)

Answer:

0.35

Step-by-step explanation:

if you divide them together you get 0.35

Answer:

total cup = 32

1 student = 1/2 cup

find remaining cup = y

*we don't know how many students are there, so we just let it be x .

remaining cup = total cup - cup drank by students

y = 32 - 1/2x

y = -1/2x + 32 ( option c )

why 1/2x ? because we don't know how many students drank the juice, so we just let it be x .

Answer:

9x^8

Step-by-step explanation:

f(x) is a binomial.  Multiplying a binomial by itself results in a trinomial.  In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.

Here this is obtained by squaring the coefficient −3x^4.  We get"

(-3)^2*(x^4)^2  =  9x^8