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Francisco v
O GRAPHING. FUNCTIONS, AND LINEAR SYSTEMS
Solving a word problem involving a sum and another basic...
A textbook store sold a combined total of 432 physics and biology textbooks in a week. The number of physics textbooks sold was 60 more than the number of
biology textbooks sold. How many textbooks of each type were sold?

Answers

Answer 1

Answer:

246 physics books

186 biology books

Step-by-step explanation:

1) there are 432 total books

2) there are 60 more physics books than biology books

3) 432 - 60 = 372

4) 372 divided by 2 = 186

5) 432 - 186 = 246

Check:

246 + 186 = 432

246 - 186 = 60

hope this helped :)


Related Questions

am i correct if not pelase hep

Answers

Answer:

Step-by-step explanation:

12 feet

Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12

Answers

Answer:

solution given:

by using Pythagoras law:

h²=p²+b²

x²=8²+4²

x=√80units

WILL GIVE BRAINLIEST ONLY IF ANSWER IS CORRECT!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!

Answers

Answer:

r=14 in

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]v = \pi \times {r}^{2} \times h[/tex]

So,

[tex]r = \sqrt{ \frac{v}{\pi \times h} } = \sqrt{ \frac{196 \times \pi}{\pi \times 1} } = \sqrt{196} = 14[/tex]

Step-by-step explanation:

solution given.:

radius[r] =r

height[h]=1in

volume[V] of cylinder=196πin³

we have

volume[V] of cylinder=πr²h

196π=πr×1

r²=[tex] \frac{196π}{π}[/tex]

r=[tex] \sqrt{196} [/tex]

r=14in

so radius is 14in

Find the area of the figure.

PLS I NEED HELP FAST!

Answers

55 ft

base + base2 / 2 x h

Mario traced this trapezoid.

Answers

Answer:

84sq. in

Step-by-step explanation:

Area of the rectangle  = length * width

Given

Length = 7in

Width = 12in

Area of the rectangle = 7in * 12in

Area of the rectangle = 84sq. in

Hence the area of the rectangle is 84sq. in

SOLVE

270.6 is 16 1/2% OF WHAT NUMBER?

WILL GIVE BRAINLIST




X
X
X
X
X
X
X

Answers

Answer:

approximately

1623.6

Step-by-step explanation:

16 1/2%=.165 which is approximately equal to 1/6, so we can just multiply the original number by 6.

Someone help me in this one now please ​

Answers

Answer:

I think 300 plz don't crit me if I got it wrong

Step-by-step explanation:

answer pls i will give brainliest!

Answers

Answer:

surface tension

Step-by-step explanation:

It seems to defy the laws of physics, but a paper clip made of steel can indeed float on the water surface. The high surface tension helps the paper clip - with much higher density - float on the water.

The cohesive forces between liquid molecules are responsible for the phenomenon known as surface tension. The molecules at the surface of a glass of water do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them (in this case, next to and below them, but not above). It is not really true that a "skin" forms on the water surface; the stronger cohesion between the water molecules as opposed to the attraction of the water molecules to the air makes it more difficult to move an object through the surface than to move it when it is completely submersed.

13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?

Answers

Answer:

Step-by-step explanation:

             80% of 25 = 5

because 10% of 25 = 2.5

and then       10 x 8 = 80

so                2.5 x 8 = 20

                  25 - 20 = 5

therefore, the percentage change is 80%

GIVE BRAINLIEST

hope this helped,

-cheesetoasty

If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.​

Answers

A=6 × + 10=88555%__/455

Use the rules for long divisions to divide 262by9

Answers

Answer: 29. 1

Step-by-step explanation:

An investor wants to invest up to $100,000 as follows:

X amount into a Certificate of Deposit (CD) that yields an expected annual return of 1% with a risk index of 1,
Y amount into a Bond with an expected annual return of 3% and a risk index of 4,
Z amount into a Stock with an expected annual return of 7% and a risk index of 8.
The investor’s objective is to maximize the total expected annual return of the investment.

However, to be prudent, the investor requires that:
The fraction of the total investment in X must be at least 20%.
The fraction of the total investment in Z must not exceed 50%.
The combined portfolio risk index must not exceed 5.

Required:
a. Set up this investment problem as a linear program, which has 3 variables, 3 basic constraints, and 4 special constraints.
b. Use an LP software to find the maximum expected annual return in dollars and the dollar values of X, Y, and Z for this best investment.
c. From the software solution, show the values of the dual variables for the four special constraints.

Answers

Answer:

a-The Linear Model is as follows:

[tex]X+Y+Z\leq 100,000\\{0.001X}\geq 20\\{0.001Z}\leq 50\\0.00001X+0.00004Y+0.00008Z\leq5\\X\geq0\\Y\geq0\\Z\geq0[/tex]

b-The values are

X=$33,333.33

Y=$16,666.67

Z=$50,000.00

Leading to a total expected return of $4333.33.

c-The values of constraints are as follows

X+Y+Z=33333.33+16666.67+50000=100,000

X=33%, Y is 16.67% and Z is 50%

Risk component of X is 0.33

Risk component of Y is 0.66

Risk component of Z is 4.00

Step-by-step explanation:

a

From the conditions, the first special constraint is the total amount which is that the sum of investments must not be  more than the total available amount of $100,000 so

[tex]X+Y+Z\leq 100,000[/tex]

The second special constraint is that the percentage of X must be at least 20% So

[tex]\dfrac{X}{100,000}\times100 \geq20\\\dfrac{X}{1000} \geq20\\{0.001X}\geq 20[/tex]

The third special constraint is that the fraction of total investment of Z must not exceed 50% So

[tex]\dfrac{Z}{100,000}\times100 \leq50\\\dfrac{Z}{1000}\leq 50\\0.001Z\leq50[/tex]

The fourth special constraint is that the combined portfolio risk index must not exceed 5 so

[tex]\dfrac{X}{100,000}\times1+\dfrac{Y}{100,000}\times4+\dfrac{Z}{100,000}\times8\leq5\\0.00001X+0.00004X+0.00008Z\leq5[/tex]

As the investments cannot be negative so three basic constraints are

[tex]X\geq0\\Y\geq0\\Z\geq0[/tex]

The maximization function is given as

[tex]f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times1\%+\dfrac{Y}{X+Y+Z}\times3\%+\dfrac{Z}{X+Y+Z}\times7\%\\f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times0.01+\dfrac{Y}{X+Y+Z}\times0.03+\dfrac{Z}{X+Y+Z}\times0.07[/tex]

b

By using an LP solver with BigM method the solution is as follows:

X=$33,333.33

Y=$16,666.67

Z=$50,000.00

Leading to a total expected return of $4333.33.

c

The values of constraints are as follows

X+Y+Z=33333.33+16666.67+50000=100,000

X=33%, Y is 16.67% and Z is 50%

Risk component of X is 0.33

Risk component of Y is 0.66

Risk component of Z is 4.00

The veterinarian’s practice had dog and cats clients. The number of dog clients was 5/6 of the number of cat clients. If the total number of clients was 924, how many dog clients and how many cat clients did the veterinarian have?

Answers

Answer:

Dog Clients = 770

Cat Clients = 154

Step-by-step explanation:

1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.

2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154

The vertices of a quadrilateral are M(-1,1), N(1,-2),O(5,0), and P(3,3).
Which statement describes quadrilateral MNOP?
Quadrilateral MNOP is a rhombus, but not a square.
Quadrilateral MNOP is a rectangle.
Quadrilateral MNOP is a trapezoid.
Quadrilateral MNOP is a parallelogram, but not a rectangle

Answers

Answer:

Quadrilateral MNOP is a rectangle.

Step-by-step explanation:

Quadrilateral MNOP is a parallelogram, but not a rectangle.

What is a rhombus?

A rhombus is a quadrilateral with all equal sides but angles not right angles. Diagonals of a rhombus intersect at 90°.

M(-1,1), N(1,-2),O(5,0), and P(3,3)

MN=√13

NO=√20

OP=√13

PM=√20

This means opposite sides are equal.

Slope of MN = -2/3

Slope of NO=2

The Slope of MN * The Slope of NO =-4/3 ≠ -1

This means the angle between adjacent sides is not equal to 90°

This means MNOP is not a rectangle

The Slope of MO = -6

The Slope of NP = 2/5

The Slope of MO * The Slope of NP =-12/5 ≠ -1

This means diagonals do not intersect at right angles.

This means MNOP is not a rhombus.

Slope of MN = -2/3

Slope of OP = -2/3

Slope of MN =Slope of OP

Similarly, Slope of MP =Slope of NO

So, quadrilateral MNOP is a parallelogram, but not a rectangle.

Thus, quadrilateral MNOP is a parallelogram, but not a rectangle.

To get more about rhombus visit:

https://brainly.com/question/20627264

The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.

Answers

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

Maria had $3,500 and invested it into an account with an annual
interest rate of 1.2%. If her investment were compounded monthly,
write an eqaution to find the value of her investment after t years.

Answers

Answer:

FV= $3,716.32

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,500

Interest rate (i)= 1.2% compounded monthly

First, we need to determine the monthly nominal interest rate:

Monthly interest rate= 0.012/12= 0.001

Now, to calculate the future value after 't' months, we need to use the following formula:

FV= PV*(1 + i)^t

For example, for 60 months:

FV= 3,500*(1.001^60)

FV= $3,716.32

6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...

Answers

Step-by-step explanation:

[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]

Which of the following rules describes the function graphed below?
Output = Input
Output = 2 • Input − 1
Output = Input + 2
Output = 3 • Input − 2

Answers

Answer:

Output= 3 • Input - 2

Step-by-step explanation:

x     |      y

3 • x - 2

--------------

1      |     1

2     |     4

3     |     7

4     |    10

Answer: last option - output=3 · input - 2

Step-by-step explanation:

Triangle UVW has a perimeter of 11.5 units. Solve for y.

Answers

Answer:

The answer for y is 4 units

Step-by-step explanation:

The obvious question to ask in this situation is, “how many miles does Joseph travel on Mondays”? To compute, we each distance: 3 + 6 + 6 = 15.

Joseph travels 15 miles on Mondays.

Another way to work with this situation is to draw a shape that represents Joseph’s travel route and is labeled with the distance from one spot to another.

Notice that the shape made by Joseph’s route is that of a closed geometric figure with three sides (a triangle) (see figure 2). What we can ask about this shape is, “what is the perimeter of the triangle”?

Perimeter means “distance around a closed figure or shape” and to compute we add each length: 3 + 6 + 6 = 15

Our conclusion is the same as above: Joseph travels 15 miles on Mondays.

However, what we did was model the situation with a geometric shape and then apply a specific geometric concept (perimeter) to computer how far Joseph traveled.

Answer:

4 units

Step-by-step explanation:

Is this model a function?

Explain.

(Someone pls be a decent human being and not send links, all links will be reported)

Answers

Answer:

Yes, that model is a function.

Step-by-step explanation:

A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

And the model shows that each domain ( x ) only goes to one codomain ( y )  which is what a function is.

Can anyone help me out here?

Answers

Answer:

J. 19.7

Step-by-step explanation:

SOH(sine = opposite side/hypotenuse) CAH TOA

sin 80° = RS/20

=> 0.985 = RS/20

=> RS = 20 × 0.985 = 19.7

Find the volume of the figure to the nearest tenth.

Answers

Answer:

150.8

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi \:{r}^{2} \\ v = \frac{4}{3} \pi \:{6}^{2} \\ v = 150.8[/tex]

Hopefully this'll help you out!

Jessica records the number of winners at a Dunga teacher booth at the town fair as shown in the table if there is 750 contestants on Monday how many should Jessica expect to a Dunka teacher

Answers

Monday = np = 750 × 0.1204 = 90.3 = 90 winners.

A photocopy machine can copy 42 pages every two minutes. How many pages can it
photocopy in 5 minutes?

Answer choices
4.2
420
105
21

Answers

Answer:

C. 105

Step-by-step explanation:

2 min → 42 pages5 min → x

Cross-multiply and solve for x:

x = 5*42/2x = 105 pages

Correct choice is C

please help me In exponents we have to write​

Answers

Answer:

1.  -3/13

2. (simplified) 8 / (exponential form) 2^3

3. 1265625/16384

4. 5

Step-by-step explanation:

no need for explanation just try the app Photo math (no space in the photo and math)

como usar a camera frontal do nokia?

Answers

Answer:

Toque para cambiar a la cámara frontal.

Step-by-step explanation:

Answer: Uhhh if do you want to ask a question go to the bottom right corner and click the + and then you can use the camera.

Ill give brain just helpppp

Answers

Answer:

Hey, gm!

Step-by-step explanation:

With what? Let me know :)

Have a nice day <3

what do you need help with?! would be happy to help

You deposited 800 dollars in an account that pays 6% interest compounded monthly. How much will your account be worth after 10 years?

A. 276130.00
B. 849.46
C. 1456
D. 1455.52

Answers

I believe it is C if it is not then my calculations are not correct

320÷÷((11−9)32(11−9)32) x 8 =

Answers

320÷((11−9)32(11−9)32) x 8

320÷((352-288)(352-288) x 8

320÷(64 x 64) x 8

320÷4096 x 8

0.078125 x 8

0.625

Answer:0.625

Not sure if this is the answer?

Answers

Answer:

x = 16

Step-by-step explanation:

Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:

(2 + x)*2 = 6²

4 + 2x = 36

Subtract 4 from both sides

2x = 36 - 4

2x = 32

Divide both sides

2x/2 = 32/2

x = 16

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