L+S = 17 3L + 2S=46
Please show your work

Answers

Answer 1

Answer:

S= 5, L= 12

Step-by-step explanation:

To find the value of L and S, we need to first label the 2 equations.

L +S= 17 -----(1)

3L +2S= 46 -----(2)

From (1):

L= 17 -S -----(3) (-S on both sides)

Subst. (3) into (2):

3(17-S) +2S= 46

3(17) -3S +2S= 46 (expand)

51 -S= 46

-S= 46 -51 (-51 on both sides)

-S= -5

S= 5 (divide by -1 throughout)

Subst. S=5 into (3):

L= 17 -5

L= 12


Related Questions

can sumone help with this pls

Answers

Answer:

D

Step-by-step explanation:

The range means the possible values of the y coordinate which is y ≥ 1 in this function

FInd the circumference of this circle:
Diameter - 32
π = 22/7

Answers

Answer:

The circumference of circle is 101 units.

Step-by-step explanation:

Given that the diameter of circle is 32 units so you have to find radius by dividing it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 32 \div 2[/tex]

[tex]radius = 16 \: units[/tex]

Next, we have to apply circumference formula, C = 2×π×r where r represents radius which is 16 units :

[tex]c = 2 \times \pi \times r[/tex]

Let π = 22/7,

Let r = 16,

[tex]c = 2 \times \frac{22}{7} \times 16[/tex]

[tex]c = 32 \times \frac{22}{7} [/tex]

[tex]c = \frac{704}{7} [/tex]

[tex]c = 101 \: units \: (3s.f)[/tex]

__________________________________

Hey!!

Solution,

Diameter=32

Radius=32/2=16

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*22/7*16

=100.57

hope it helps...

Good luck on your assignment

_________________________________

Helpppppp meeeee please URGENT
True or False

Answers

Answer:

false

Step-by-step explanation:

you cant have same size without congruent

A special die has a number on each face. The sums of the opposite faces are all equal. Five of the numbers are 5,6,9,11, and 14. What number is on the sixth face?

Answers

Answer:

The missing number is 15.

Step-by-step explanation:

The sum of the opposite faces is 20, because 14 + 6 = 20 and 11 + 9 = 20, so we just need to find the answer to the equation

5 + x = 20

Solving for x, we have

x = 20-5

x = 15.

Therefore, the missing number is 15.

Which property justifies this statement: 6d(3d+2) = 18d^2 + 12d

Answers

Answer:

Distributive property

Step-by-step explanation:

. It was a very freaky weather day. The temperature started out at 7⁰C in the morning and went to -15⁰C at noon. It stayed at that temperature for eight hours and then rose 8⁰C. How far below the freezing point (0⁰C) was the temperature at 8 p.m.?

Answers

Answer:

8 hours after noon (12 pm) is at 8 pm

At 8pm, temperature was -15°C

So, temperature was -15° below freezing point (0°)

Answer:

- 15

Step-by-step explanation:

8 hours after noon  is at 8 p.m.

At 8 p.m., temperature was -15 C

Thus, temperature was -15 below freezing point at 8 p.m.

Hope that helps!

Find the y-intercept of the following equation. Simplify your answer. 25 POINTS WILL MARK BRAIN

y = –10x + 7


y-intercept =

Answers

Answer:

7

Step-by-step explanation:

y=mx+b

b= y-intercept

So 7 is your answer

if the sum of two ratinol numbers is 30 and there ratio is 2:3 then find the numbers please help me with this​

Answers

Answer:

12 and 18

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5

30 ÷ 5 = 6 ← value of 1 part of the ratio

2 parts = 2 × 6 = 12

3 parts = 3 × 6 = 18

The numbers are 12 and 18

Hi there I need help with this please

Answers

Answer:

4(x-6)=45

Step-by-step explanation:

x is the number

so a number decreased by six

x-6

all multiplied by 4

4(x-6)

is 45

4(x-6)=45

The first one; if you read the sentence carefully, you’ll get it

the blueprints at addison circle is a sculpture that took 18,000 worker-hours to construct using over 410,000 pounds of steel. The piece of art is placed within a traffic circle with a diameter of 133 feet. find the area of the circle. Round to the nearest tenth of a square foot.

Answers

Answer:

Area = 13,898.5 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the area of the circle given the value of the diameter.

Mathematically, the area of a circle is;

A = pi * d^2/4

Where d here is 133 feet

A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2

If 28 g of cashew nuts contains 14 g of fats.
How many grams of fat are there in 42g of cashew nuts?

Answers

Answer:

21 g

Step-by-step explanation:

Use ration method

28:14 = 42:x

To find x,

(14 x 42) divided by 28, which equals 21g

11. In a group of six young pupils the mean weekly amount of pocket money is £5. When a new pupil joins, the mean weekly pocket money increases to £6. What does the new pupil receive each week ?

Answers

Answer:

£12

Step-by-step explanation:

Mathematically, we know that the mean is calculated by dividing the sum of the numbers by the count of the numbers.

Now, when they were 6 and the mean is £5, this means that the total is simply

6 * 5 = £30

Now, when a new student join, there is an increase in the value of the mean.

A new student joining means they are now 7 with the total now 7 * £6 = £42

Now the difference between the total of 6 and 7 will be £42 - £30 = £12

This value represents what the new pupil receive each week

write 55g as a percentage of 2.2kg​

Answers

Answer:

2.5%

Step-by-step explanation:

55 grams * 0.001 kg/1 gram=

0.055kg/2.2 kg = 0.025 kg

0.025*100% = 2.5%

Calculate the surface area of each polyhedron. Pls!! Show work

Answers

Answer:

Step-by-step explanation:

Triangle: bh/2 = 8*9/2 = 36 cm²

bottom square: 8*8 = 64 cm²

total surface area: 36*4 + 64 = 208 cm²

Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living room floor. Which size of rug should she buy? *

Answers

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

2l of punch for 15 people how many litre of punch for 90 people

Answers

Answer:

12

Step-by-step explanation:

Answer: 12
Hope this helped somewhat have a good day:)

If m<2 BOE = 130° and m< COB = 80º,
find the measure of the indicated arc
in circle 0.
mCBE =

Answers

Answer:

The answer is 210°.

Step-by-step explanation:

Given that ∠BOE = 130° and ∠COB is 80°. So in order to find ∠CBE, you have to add up together :

∠CBE = ∠BOE + ∠COB

∠CBE = 130° + 80°

∠CBE = 210°

(Correct me if I am wrong)

Answer:210°

please see the attached picture...

Hope it helps...

Good luck on your assignment...


А
is a number written with a variable to indicate the product of the number and the variable in a term.

Answers

Answer:

Coefficient

Step-by-step explanation:

The blank word is coefficient.

Coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Let the expression,

y = mx.

Here, x and y are the variables.

And m is the constant.

So, m is multiplied to the variable x.

That means, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

Therefore, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.

To learn more about the expression;

brainly.com/question/24242989  

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Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. A) −6 B) −4 C) 3 D) 8

Answers

Answer:

-4 =x

Step-by-step explanation:

ƒ(x) = 9x + 54

Let f(x) = 18

18 = 9x+54

Subtract 54 from each side

18-54 = 9x + 54-54

-36 = 9x

Divide each side by 9

-36/9 = 9x/9

-4 =x

Answer: B

Step-by-step explanation:

Well, they told you what f(x) equals. So make the function of f(x) equal to the value they gave, 18

[tex]18=9x+54[/tex]

Subtract 54 from both sides to get:

[tex]-36=9x[/tex]

Divide both sides by 9 to get x = -4

Line JK passes through points J(-4,-5) and K(-6, 3). If the equation of the line is written in slope-intercept form, y = mx + b,
what is the value of b?
-21
-4
11
27
Mark this and retum
Save and Exit
Nex

Answers

Answer:

A

Step-by-step explanation:

If the equation of the line is written in slope-intercept form, y = mx + b then the value of b will be -21; the correct answer is option A.

What is the slope of a straight line?

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

This is because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. That is why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.

Formula for slope, thus, is;

Slope = (y₂ - y₁) / (x₂ - x₁)

Parameters;

J(-4, -5) and K(-6, 3)

= (3 - (-5)) / (-6 - (-4))

= (3 + 5) / (-6 + 4)

= 8 / -2

= -4

Substitute one of the coordinates into the formula to solve for b

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

b = - 21

Read more about Slope of a line here

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Hey school system is reducing the amount of dumpster loads of trash removed each week in week five there are 45 dumpster load the waste removal in Wheaton there were 30 dumpster load removed assume that the reduction in the amount of waste each week is Linnea write an equation in function form to show the amount of trash removed each wwHey school system is reducing the amount of dumpster loads of trash removed each week in week five there a 45 dumpster load the waste removal in Wheaton there were 30 dumpster loads removed assume that the reduction in the amount of waste each week is linear write an equation in function form to show the amount of trash removed each week

Answers

Answer:

 y = -3x + 60

Step-by-step explanation:

For the answer to the question above,

 let x = number of weeks let y = amount of waste.

The linear equation may be expressed as,y = mx + b

 m and b are the slope and y - intercept, respectively. Substituting the corresponding values,

  (Week 5)                     45 = 5m + b

  (Week 10)                   30 = 10m + b

Solving for m and b gives the values as m = -3 and b = 60. Thus, the equation is 

 y = -3x + 60

Answer: C

Step-by-step explanation: the other dude is right, he just didnt change y to f(x)    (f of x).

Solve for x. -7x= -8x+7

Answers

Answer:

x = 7

Step-by-step explanation:

-7x= -8x+7

Add 8x to each side

-7x+8x= -8x+8x+7

x = 7

Answer:

The value of [tex]x[/tex]:

[tex]x = 7[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-7x = -8 x + 7[/tex]

Add both sides by [tex]8x[/tex]:

[tex]-7x + 8x = -8x + 8x + 7[/tex]

[tex]x = 7[/tex]

So, the final answer is [tex]x = 7[/tex] .

FAST ANSWER PLEASE THANKS

Answers

Answer:

(f • g)(x) = x² - 6x + 7

Step-by-step explanation:

Suppose

f(x) = x² - 2

g(x) = x - 3

Determine

(f • g)(x) = ...

We can compose the functions by doing the following

(f • g)(x) = f(g(x))

(f • g)(x) = f(x - 3)

(f • g)(x) = (x - 3)² - 2

(f • g)(x) = x² - 6x + 9 - 2

(f • g)(x) = x² - 6x + 7

I hope this helps!

HELP PLEASE ! Factor the polynomial completely.
18x^2y-2y

Answers

Answer:

2y( 3x-1)(3x+1)

Step-by-step explanation:

18x^2y-2y

Factor out the greatest common factor 2y

2y( 9x^2 -1)

The term in the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

2y( 3x-1)(3x+1)

2y(3x-1)(3x+1) is what I came up with to answer your question, hope this helps!

Help me please on this question

Answers

Answer:

Step-by-step explanation:

Given : QP║RT and QR║US

To prove: ∠1 ≅ ∠5

                Statements                   Reasons

1).   QP║RT                           1). Given

2). QR║US                           2). Given

3). ∠1 ≅ ∠2                           3). Alternate angles

    ∠2 ≅ ∠5                          

4). ∠1 ≅ ∠5                           4). Transitive property

Reasons for third step,

PQ║RT and QR is a transverse therefore, ∠1 and ∠2 will be alternate angles.

Similarly, QR║US and RT is a transverse therefore, ∠2 and ∠5 will be the alternate angles.

Find the measurement which is most accurate to 45.76 kg.

A. 45.77 kg
B. 45.78 kg
C. 45.79 kg
D. 45.81 kg

Answers

Answer:

  A. 45.77 kg

Step-by-step explanation:

The measurement with the smallest difference from 45.76 is 45.77 kg.

¿que es la trigonometria?

Answers

Answer:

I don't speak Spanish but I know what your asking. Trigonometry is a thing in physics.

Step-by-step explanation:

How many 3’s are in 1/8?

Answers

Answer:

There are none

Step-by-step explanation:

Because 1/8 = 0.125

Just divide 1 over 8

The number of 3's in  the given fraction number 1/8 is, Zero

What is a fraction?

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number, 1/8

The number of 3's = ?

⇒ 1/8 = 0.125

There is no number 3 present in the result of this division

Hence, the number of 3's  is Zero

To know more about Fraction check:

https://brainly.com/question/8482939

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A convex polyhedron is made of 12 congruent faces like the one shown below. What is the name of the solid? A) dodecahedron ANSWER: A B) icosahedron C) pentagonal pyramid D) pentagonal prism

Answers

Answer: dodecahedron

Step-by-step explanation:

Answer:

Option A

Explanation:

Decahedron

At the pebble pick at a school carnival the probability of drawing a pebble that wins a pencil is 50% a pebble that went to CD is 25 and a pebble that one is the book is 25% how good is Zack design a spinner that can win those Simulator 2 probability of winning each prize

Answers

I fell like try and divid it in the call Kaleigh and then divided by the two that you have
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