Two lines intersect at a:
A.line
B. Plane
C. Ray
D. Point

Answer:

A, D, & F

Step-by-step explanation:

When you distribute, you get 6a + 5a + 5 - 3a + 21.

After combining like terms, you get 8a + 26.

Lastly, all you have to do is figure out which expressions are equivalent to

8a + 26.

A) 8a + 26 = 8a + 26

D) 6a + 5a + 5 - 3a + 21 (combine like terms) = 8a + 26

F) 2(4a + 13) - Simple distribution

2 x 4a = 8a

2 x 13 = 26

2(4a + 13) = 8a + 26

Answer:

Step-by-step explanation:

32=-80*(-2/5) bấm máy là ok mà

Answer:

[tex] {32}^{ \frac{ 2}{ - 5} } [/tex]

note that it's not important if the minus sign is with the 2 or with the 5, it allows us to calculate

[tex] {32}^{2} [/tex]

first, and then take the 5th root from the solution

[tex] {1024}^{ \frac{1}{ - 5} } [/tex]

=

[tex] \sqrt[ - 5]{1024} = \frac{1}{4} [/tex]

I solved the last part with a virtual calculator, but double checked it (see screenshot)

Answer:

qijejejsllaoajvrjaoaq

Answer:

4

Step-by-step explanation:

yes

Answer:

the answer is 40%.

Step-by-step explanation:

probability= total number of juniors all over total number.

that is , 8

20

2

5

rounding it the nearest whole percent is

2 × 100

5

40%.

The probability that the selected student is a junior is 27%.

The probability of an event is the ratio of the number of outcomes favorable to the event to the total number of outcomes for the event. This represents the chance for the event to take place.

If A is the event, n is the number of outcomes favorable to the event and S is the total number of outcomes, then the probability of the event A is given as:

P(A) = n/S.

We are given a two-way table showing the number of freshmen, sophomores, juniors, and seniors in the class with respect to their gender.

We are asked to find the probability of selecting a junior student while picking a random student from the class.

Let the event of selecting a junior student from the class be A.

Number of favorable outcomes to event A (n) = 2 + 6 = 8 (junior males + junior females)

Total number of outcomes (students in the class) (S) = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30.

∴ The probability that the selected student is a junior is given by:

P(A) = n/S = 8/30

or, P(A) = (8/30)*100% = 26.67% = 27% (rounding to the nearest whole percent).

∴ The probability that the selected student is a junior is 27%.

Learn more about the probability of an event at

https://brainly.com/question/7965468

#SPJ2

Answer:

Distance = 15 units

Step-by-step explanation:

[tex]Let \ (x_1 , y_ 1 ) = ( 0 , 7 ) \ , \ (x _ 2 , y _ 2 ) \ = ( -12 , -2 ) \\\\Dsitance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1 )^2} \\\\[/tex]

             [tex]= \sqrt{(-12 - 0)^2 + ( -2 - 7)^2} \\\\=\sqrt{12^2 + 9^2 }\\\\=\sqrt{144 + 8 1} \\\\= \sqrt {225 } \\\\= 15[/tex]

Answer:

( 12 , - 10 )

Step-by-step explanation:

Difference between the x points : 0 - ( - 12 ) = 12

Difference between the y points : - 12 - ( - 2 ) = -10

There fore the difference ( 12 , - 10 )

Hopefully this is what you mean

Have a nice day !

9514 1404 393

Answer:

Step-by-step explanation:

The pumpkin gained 372 -141 = 231 pounds in 7 weeks, or an average of ...

  (231 lb)/(7 wk) = 33 lb/wk

The pumpkin gained 33 pounds per week.

__

In the 3 weeks after the pumpkin plant was chosen, it would have gained 3×33 = 99 pounds. It weighed 141 pounds at that point, so must have had an initial weight of 141 -99 = 42 pounds at t=0. The weight of the pumpkin can be modeled as ...

  W = 33t +42

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

Answer:

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi  ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z  = 6*x₁  +  4*x₂  + 6*x₃      Objective Function

Constraint :

basket capacity  17

9*x₁  +  3*x₂  +  4*x₃  ≤  17

General constraints:

x₁   ≥  0     x₂    ≥  0     x₃  ≥  0    all integers

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution

Answer:

Step-by-step explanation:

11.-3(2x-8)=-12

-6x+24=-12

-6x=-12-24

x=-36/-6

x=6

12.4(6+2x)=0

24+8x=0

8x=0-24

x=-24/8

x=-3

13.3x+2x+6=-15

5x+6=-15

5x=-15-6

x=-21/5

14.4=-2(x+3)

4=-2x-6

4+6=-2x

10/-2=x

-5=x

15.27=46+2x-x

27=46+x

27-46=x

-19=x

Answer:

11.  -6

12.  -3

13.  4.2

14.  -5

15.  -19

Step-by-step explanation:

Check the pictures. Would take too long for me to type it all out.

Number 1 is 5y = 50

Number 2 is h = 7

Number 3 is multiplication

Number 4 is addition

[tex]\boxed{6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 + ( - h) + ( - 4)[/tex]

Putting the value "h = -7" in the above expression, we have

[tex]3 + [ - ( - 7)] - 4 \\ = 3 + 7 - 4 \\ = 10 - 4 \\ = 6[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

( And )

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

6

Step-by-step explanation:

Replace h with -7

3+ [-(-7)]+(-4)

Multiply the negative with -7. The answer for it is 7

Add 3 and 7, which is 10

Subtract 10 with -4 which is 6

Answer is 6

Hope this helps!

Answer:

Sine of X = d/f

Cos of X = e/f

Tan of X = d/e

Step-by-step explanation:

In this case, the opposite is d, the adjacent is e and the hypotenuse is f.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer: 5.5 quarts = 22 cups

Step-by-step explanation:

1 cup = 4 cups

to convert cups to quart, just multiply by 4

5.5 x 4 = 22

Answer:

x ≥0

Step-by-step explanation:

Given the product:

√(5x)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(5x)*√(x+3)≥0

Find the product

√(5x)(x+3)≥0

Square both sides

(5x)(x+3)≥0

5x≥0 and x+3≥0

x≥0/5 and x ≥0 - 3

x ≥0 and x ≥-3

Hence the required inequality is x ≥0

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

21^2+20^2=29^2

441+400=841

841=841

since the sum of square of two smaller sides is equal to the square of longest side .The given triangle can form right angle.

Answer:

x = 14/3

Step-by-step explanation:

3(x+4)=26

Distribute

3x+12 =26

Subtract 12 from each side

3x+12-12 = 26-12

3x = 14

Divide each side by 3

3x/3 =14/3

x = 14/3

Step-by-step explanation:

x+4= 26/3

x= 26/3 _4

x=26_12/3

x=14/3

Step-by-step explanation:

m=differences in y value over differences in x values .

i.e y²-y¹ over x²-x¹

so 1. 6-2/5--4

which will be 4/9

the slope is 4/9 or 0.4

2. 3--5/7-5

which will be 8/2

the slope is 4

Answer:

[tex]x = 24[/tex] ---- Hao Sheng

[tex]y =51[/tex] --- His father

[tex]z = 84[/tex] ---- His grandfather

Step-by-step explanation:

Given

[tex]x \to Hao\ Sheng[/tex]

[tex]y \to his\ father[/tex]

[tex]z \to his\ grandfather[/tex]

From the question, we have:

[tex]\frac{x + y + z}{3} = 53[/tex] --- The average of their age

[tex]\frac{z}{2} + \frac{y}{3} +\frac{x}{4}= 65[/tex]

[tex]z - 4 = 4(x - 4)[/tex] --- 4 years ago

Required

Their current age

[tex]z - 4 = 4(x - 4)[/tex]

Open bracket

[tex]z -4 = 4x-16[/tex]

Make z the subject

[tex]z = 4x-16+4[/tex]

[tex]z = 4x-12[/tex]

Multiply [tex]\frac{z}{2} + \frac{y}{3} +\frac{x}{4}= 65[/tex] by 12

[tex]6z + 4y + 3x = 780[/tex]

Substitute [tex]z = 4x-12[/tex] in [tex]6z + 4y + 3x = 780[/tex]

[tex]6(4x - 12) + 4y + 3x = 780[/tex]

[tex]24x - 72 + 4y + 3x = 780[/tex]

Collect like terms

[tex]24x + 3x + 4y = 780+ 72[/tex]

[tex]27x + 4y = 852[/tex]

Substitute [tex]z = 4x-12[/tex] in [tex]\frac{x + y + z}{3} = 53[/tex]

[tex]\frac{x + y + 4x - 12}{3} = 53\\[/tex]

Multiply through by 3

[tex]x + y + 4x - 12 = 159[/tex]

Collect like terms

[tex]x + 4x + y = 159+12[/tex]

[tex]5x + y = 171[/tex]

Make y the subject

[tex]y = 171 - 5x[/tex]

Substitute [tex]y = 171 - 5x[/tex] in [tex]27x + 4y = 852[/tex]

[tex]27x + 4(171 - 5x) = 852[/tex]

[tex]27x + 684 - 20x = 852[/tex]

Collect like terms

[tex]27x - 20x = 852-684[/tex]

[tex]7x = 168[/tex]

Divide by 7

[tex]x = 24[/tex]

Solve for y in [tex]y = 171 - 5x[/tex]

[tex]y =171 -5*24[/tex]

[tex]y =171 -120[/tex]

[tex]y =51[/tex]

Solve for z in [tex]z = 4x-12[/tex]

[tex]z = 4 * 24- 12[/tex]

[tex]z = 96- 12[/tex]

[tex]z = 84[/tex]

Answer:

7 play cricket

14 play football

21 play volleyball

Step-by-step explanation:

Answer:

well rolling a 1 would be a 1 in 6 chance as would rolling 2 be a 1 in 6 chance

Step-by-step explanation: if this is not what you are looking for post a picture so I can answer correctly

Answer:

a) 23 + x = 140

Step-by-step explanation:

140 - 23 = 117

the angle x = 117°

Answer:

Step-by-step explanation:

I am sorry i need points, i cant

Answer:

x= -3 + [tex]\sqrt{14}[/tex]

Step-by-step explanation:

Answer:

2 15 sorry po kung mali

Step-by-step explanation:

Wala pong step by step

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is given by :

[tex]V_s=\dfrac{4}{3}\pi r^3[/tex]

Where

r is the radius of the sphere

The formula for the volume of a cylinder is given by :

[tex]V_c=\pi r^2 h[/tex]

Where

r and h is the radius and height of the cylinder

The formula for the volume of a cone is given by :

[tex]V_C=\dfrac{1}{3}\pi r^2 h[/tex]

Where

r and h is the radius and height of the cone

Answer:

3

Step-by-step explanation:

5(11x-2) = 155

⇔ 55x - 10 = 155

⇔ 55x = 155 + 10

⇔ 55x = 165

⇔ x = [tex]\frac{165}{55}[/tex]

⇔ x = 3

Answer:

x=3

Step-by-step explanation:

5(11x - 2) = 155

Divide each side by 5

5/5(11x - 2) = 155/5

11x-2 = 31

Add 2 to each side

11x-2+2 = 31+2

11x=33

Divide by 11

11x/11 = 33/11

x=3