Mathematics High School

If p + q + r = 4 and -p + q + r = 2, then p=?

(A) -2
(B) -1
(C) 0
(D) 1
(E) 2

Answers

Answer 1

Answer:

D

Step-by-step explanation:

by subtraction of these 2 equation,

2p = 2

p = 1

Related Questions

Simplfiy the expression
12/c^-8d^2?

Answers

the second one is the answer most likely, use the app photo math
The answer A:12c^8/d^2

Find the angle for this problem

Answers

Answer:

ans: 31°

Step-by-step explanation:

<EFG = <EFH + <HFG

2x+52= 21 + ( x+31)

2x-x= 21 +31 -52

x= 0

so our question is to find <HFG so,

x+31°= 31°

In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the total percent decrease.

Answers

Answer: 237,500 total decrease

Step-by-step explanation:

There are 5 red marbles, 15 blue marbles,
reach in and randomly draw two marbles without replacing the first, what is the
probability that both will be blue?

Answers

Answer:

Probability is 0.552, or about 55%

Step-by-step explanation:

first there are 20 marbles in total: odds are 15/20 = 3/4

Then, there are 19 marbles in total : odds are 14/19

So the odds of both of them being blue are: 3/4 * 14/19 = 0.552 (rounded to the thousandths place)

Please give brainliest thanks!

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458

Answers

Answer:

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Step-by-step explanation:

The amount of profit y made by the company from selling each widget at x price is modeled by the equation:

[tex]y=-x^2+72x-458[/tex]

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:

[tex]\displaystyle x=-\frac{b}{2a}[/tex]

In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:

[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

What expression would be easier to simplify if you use the associative property to change the grouping?

A.[(-0.2)+(-0.6)]+1.7
B.(2+5/2)+(-1/2)
C.(60+40)+(-27)
D.6+[4/9+(-2/9)]

Answers

Answer:

B

Step-by-step explanation:

2+5/2 is hard to add since first you have to make 2 into a fraction with the denominator 2. If you use the associative property, you can just easily combine -1/2 and 5/2 without any converting into fractions

From the equations below, let's find the value of x.
x=y=2z
xyz=256​

Answers

Answer:

x=8

Step-by-step explanation:

xyz=256​

x=y=2z

Replace y with x and z with x/2

x * (x) *(x/2) =256

x^3 /2 = 256

x^3 = 512

Take the cubed root of each side

(x^3) ^(1/3) = (512) ^ (1/3)

x=8

Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)

Answers

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]

Solve for j:

[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]

Answer:

k = 10 tan (40) = 8.39 (to 2 decimals)

J = 10 / cos(40) = 13.05 (to 2 decimals)

Step-by-step explanation:

It is SOH CAH TOA, or

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Using SOH CAH TOA,

tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)

cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)

in the fist quadrant you start a 5,3 and move 2 units left and 1 unit down where would you end up?

Answers

Answer:

3,2

Step-by-step explanation:

Answer:

(3,1)

Step-by-step explanation:

If you moved two units left you would be at (3,2) the move one down you would be at (3,1)

Calculate the sizes of the unknown angles in each diagram.

Please, answer with explanation.

Answers

Step-by-step explanation:

a) 2z+3z+4z=180

9z=180

z=20

So,three angles are 40,60 and 80

b) (y+30)+(2y+80)+(y+10)=180

y+30+2y+80+y+10=180

4y+120=180

4y=60

y=15

Three angles are 45,110,25

Please help I’ll give brainliest

Answers

Answer:

33

Step-by-step explanation:

The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33

factorize: 9x^2 - 24xy + 16y^2

Answers

9x²-24xy+16y²

(3x)²-2.(3x)(4y) +(4y)²

(3x-4y)²

(3x-4y)(3x-4y)

Answer:

[tex](3x -4y)^2[/tex]

Step-by-step explanation:

[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]

                           [tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]

a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]

                           [tex]=(3x -4y)(3x - 4y)[/tex]

[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]

                           

Can you help me solve in any algebraic method ?

Answers

Answer:

Step-by-step explanation:

x²+(8+3)x +24=0x²+8x+3x+24=0x(x+8)+3(x+8)=0(x+8)(x+3)=0if,(x+8)=0 then,x+8=0x=-8,,if x+3=0 then,x=0-3x= -3,,
X^2+8x+3x+24=0
X(x+8)+3(x+8)=0
-> (x+8)x(x+3)=0
->{ x= -8
{ x=-3

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3

Answers

Answer:

[tex]2034.72\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.

What we're given:

[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]

Substituting given values, we get:

[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]

What is the range of y = sinx in the interval - π ≤ x ≤ 0?

-1 ≤ y ≤ 1
-1 ≤ y ≤ 0
0 ≤ y ≤ 1
y ≤ 1

Answers

Answer:

[tex]-1 \le y \le 1[/tex]

Step-by-step explanation:

Let be [tex]y = \sin x[/tex], the range of the function corresponds to the set of values of [tex]y[/tex]. The sine function is a bounded function between -1 and 1. Hence, the range of the function is:

[tex]-1 \le y \le 1[/tex]

I need fast

How many pieces ,each of length 3 ¾ m can be cut from a rope of length 30m?​

Answers

Answer:

8

Step-by-step explanation:

Divide 30 by 3.75 to get 8.

Hope that this helps!

¿Numeros entre 0,1 y 0,5?

Answers

Answer:

0.2

0.3

0.4

Step-by-step explanation:

Need help with some math

Answers

Answer:

A

Step-by-step explanation:

Desnity: mass/volume

3/20= .15

Find the measure of angle D

Answers

Answer:

Step-by-step explanation:

You can't see the picture really well

A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?

Answers

They will charge $165 for each person
The answer is 650

20x35= 700

700+50 = 750

750-100= 650

What Did You Understand In The Picture

Answers

sun that is shown with the help of lane

Math help please FAST

Answers

Answer:

180

60

40

Step-by-step explanation:

Angles in a triangle add up to equal 90 degrees

Equilateral - has all congruent angles and congruent sides

If a triangle has 3 angles and the angles add up to equal 180 then the measure of one angle in an equilateral = 180 / 3 = 60

Bisect means to split into to equal parts

So if you bisect an 80 degree angles you will have two 40 degree angles. ( Because 80/2 = 40 )

Answer:

40°

Step-by-step explanation:

bisecting an angle gives equal angles equivalent to half the size of the bisected angle for each of them

I REALLy need help with these I got them wrong

Answers

Answer:

A = (1/2 x b x h ) 4 + l^2

= 1/2 x 5 x 8 x4 + 5 x 5

80 + 25

= D. 105 cm2

Answer:

105

Step-by-step explanation:

Which inequality explains why these three segments cannot be used to construct a triangle?​

Answers

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side. Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.

2
А
B
G
30°
F
D
NOTE: Angles not necessarily drawn to scale.

Answers

Answer:

x = 60°

Step-by-step explanation:

∠ CGE = ∠ FGD = 30° ( vertical angles )

∠ CGB = 90° , then

x + 30° = 90° ( subtract 30° from both sides )

x = 60°

4.
F=1.80 + 32
so
(a) Work out the value of F when C=2

(b) Work out the value of C when F= 50

Answers

Answer:

This doesn't make sense because there is no C variable, but I will solve for f if that helps.

Step-by-step explanation:

[tex]f=1.80+32[/tex]

       [tex]-32[/tex]   [tex]-32[/tex]          

[tex]f=-30.2[/tex]      

Carlos drove 8x + 13 miles in two
days. If he drove 3x + 5 miles on the
first day, how many miles did he drive
on the second day?

Answers

Answer:

5x+8

Step-by-step explanation:

Answer:5x+8

Step-by-step explanation:

8x+13

-3x

5x+13

-5

5x+8

j=the money used in south Africa is is called the rand . the estrange rate 7 rand for $1. Find how many dollars you would receive if you estrange 21 rand.

Answers

Answer:

$3

Step-by-step explanation:

21 rand /7

Please help I need it!!!

Answers

Answer:

I think it is the first one i think

Step-by-step explanation:

11. Benjamin plotted -1.5 and 1.6 on a number
line. Which point is further from zero?
12.
Times in 50-meter Dash
Runner
Time (s)
Steve
7.41
Mike
7.38
Daniel
7.43
Mauricio
7.25
Four runners ran the 50-meter dash. The
times are shown in the table above.
Which runner had the fastest time?

Answers

Answer:

11  1.6

12  Mauricio

Step-by-step explanation:

11.  Take the absolute value of each number to determine which is furthest from zero

|-1.5| and |1.6|

1.5  and 1.6

1.6 is greater than 1.6  so it is further from 0

12.  The fastest time is the smallest time

The ones place all has 7's so look at the tenths place

The smallest number will have the fastest time

Mauricio has a 2 which is the smallest number

Mauricio has the fastest time

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