A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

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:

[tex]-\frac{4}{5}[/tex] × [tex]\frac{6}{7}[/tex] = [tex]-\frac{24}{35}[/tex]

Step-by-step explanation:

It's just like regular multiplication:

[tex]\frac{Numerator}{Denominator}[/tex]

Numerator:

-4 × 6 = -24

Denominator:

-5 × 7 = -35

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: 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:

x=  4/3 and y=3

Answer: Wheres the table

Step-by-step explanation:

Answer:

Step-by-step explanation:

40

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:

730864

Step-by-step explanation:

654321 +76543=730864

Answer:

C is correct

Step-by-step explanation:

6x^7+12x^6+3x^5

Answer:

Answer:

C is correct

Step-by-step explanation:

6x^7+12x^6+3x^5

Answer:

1/2 - Half of the numbers are odd

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:

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

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:

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: 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:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line first find the slope

Slope of the line using points

(-2,2)and(-3,-9) is

[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]

Then use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) can be any of the points

Equation of the line using point (-2,2) and slope 11 is

y - 2 = 11 ( x + 2)

y - 2 = 11x + 22

11x - y = - 2 - 22

We have the final answer as

Hope this helps you

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

Answer:

For whom ever has this question

B=108    x=15

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:

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:

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:

Angle  [tex]m\angle 1 = 35^o[/tex]

Step-by-step explanation:

Our goal is to find appropriate symmetries within the given diagram, so we can use the property of the addition of internal angles of a triangle that render  [tex]180^o[/tex].

So we start by drawing a line that goes through the center of the circle and also through the vertex of angle [tex]m\angle 1[/tex]. Please see the attached image to follow the procedure. In the image, the line is a fine black line that crosses the circle completely.

Now we draw the four radii that will define clearly the central angles of [tex]100^o[/tex] and [tex]30^o[/tex] that come as information.

Then we set our efforts to analyze the two triangles (one marked with green borders, and the other one marked with orange borders. Notice that the angle on the further right for the triangle with orange borders is in fact half of the angle [tex]m\angle 1[/tex] that we need to find, so we will work our way to determine the size of it and then multiply it by two.

We need to start though with the triangle with green borders because it has more information that we can derive.

Notice that this green triangle has a central angle equal to [tex]115^o[/tex], because it has to measure the same as 180 degrees minus half of the 100 degrees angle and minus half of the 30 degree angle  in order to add to form the perfect plane angle of the circle's diameter:  

[tex]180^o-50^o-15^o=115^o[/tex]

Now, notice as well that this green triangle is an isosceles triangle (has two equal sides (both equal to the radius of the circle), and therefore the angles opposite to them must be equal. We can find the measure of either such angles by using the property of additions of internal angles of a triangle to render [tex]180^o[/tex], subtracting from it the 115 degree angle we know, and dividing the result by two:

[tex]180^o-115^o=65^o[/tex]

half of this is [tex]32.5^o[/tex]

Now we use this angle, to find its supplementary angle, which would be the angle on top of the orange triangle:

[tex]180^o-32.5^o=147.5^o[/tex]

Now all we need is to use the property of addition of internal angles for the orange triangle (of which we currently know a 15 degree angle and a 147.5 degree angle) to find what half of angle  [tex]m\angle 1[/tex]  is:

[tex]180^o-147.5^o-15^o=17.5^o[/tex]

then angle  [tex]m\angle 1[/tex] is twice this value:  [tex]m\angle 1 = 35^o[/tex]

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

The graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1

The equation is given as:

y = - 3x + 1

The above equation is a linear function

A linear function is represented as:

y = mx + c

Where m represents the slope and c represents the y-intercept

This means that the graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1

Read more about linear equations at:

https://brainly.com/question/4025726

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)

If we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.

Given that principal amount is $500 , years are 6 and rate of interest be 7%.

We are required to find the amount that we have to pay after 6 years if we borrow $500.

Compound interest is the interest that is calculated on the principal plus the accumulated interest at that point of time.

Sum after compounding is given as under:

S=P[tex](1+R)^{N}[/tex]

So we have to just put the values to find the money that we have to pay after 6 years.

S=500[tex](1+0.07)^{6}[/tex]

=500[tex](1.07)^{6}[/tex]

=500*1.5

=$750

Hence if we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.

Learn more about compound interest at https://brainly.com/question/24924853

#SPJ1

Answer:

The millimeter.

Step-by-step explanation:

The best choice here is the millimeter (mm).

Answer:

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

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:

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.