Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.

C=5/9(F-32)

F=9/5C+32

The slope of the line for 3-day charity ride is 30.

The slope of a straight line indicates the steepness of its inclination. It is also known as the gradient.

The formula for the slope is;

slope = m = Δy/Δx

m = (y₂ - y₁)/(x₂ - x₁)

The given coordinators of the points (taken from Jack's graph are);

(x₁, y₁) = (2, 60)

(x₂, y₂) = (3, 90)

Put the values in the formula;

m = (90 - 60)/(3 - 2)

m = 30

Therefore, the slope of the straight line for the 3-day charity ride is 30.

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Answer:

Step-by-step explanation:

30

The sum of the ball's kinetic energy and potential energy remains the same. as the ball rolls from point A to E.( if there is no friction between the ball and the ground).

based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.

the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.

The ball would not change the energy.

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Answer:

3x±4=2x±8

3x-2x=8-4

x=4

Step-by-step explanation:

Hope its helpful for you

Answer:

the answer is = 1.125

Step-by-step explanation:

hopefully this helps!

Answer:

15, 0, 439, 5

Step-by-step explanation:

-9 and -10 are negative integers. Whole numbers can't be negative.

Answer:

15,0,439,5 are whole numbers. eg: when we count the number of students we use 1,2,3 etc we won't use any decimal or fractions or negative values. like that whole numbers are like the numbers we count number of students

Answer:

Option 4

Step-by-step explanation:

[tex]2.54 \times 10^{19}+3.218 \times 10^{17} \\ \\ =(254+3.218) \times 10^{17} \\ \\ =257.218 \times 10^{17} \\ \\ =2.57218 \times 10^{19}[/tex]

Answer:

2.57218*1019

Step-by-step explanation:

==================================================

Explanation:

x = cost of one dinner

4x = cost of four dinners

50-4x = the difference in the cost of $50 vs 4x dollars

To ensure this difference is never negative, we use absolute value to form the expression |50-4x|

Set this equal to 5 since we want this distance or difference to be 5 units above or below 50

|50-4x| = 5

|50 - 4x| - 5 = 0

Answer:

l 50 - 4x l - 5 = 0

Step-by-step explanation:

Answer: x=28

Step-by-step explanation:

4x-7=3x+21

4x-3x-7=3x-3x+21

x-7=21

x=28

Answer:

12 10 12 30

Step-by-step explanation:

eso se devide y es 1.030

The sum of the four numbers divided by 4 is equal to the mean.

the sum/4 = mean

(12 + 50 + 48 + n)/4 = 30

(110 + n)/4 = 30

(110 + n) = 30 × 4

(110 + n) = 120

n = 120 - 110

n = 10

Answer:

is there more??? i don't have a enough info

Step-by-step explanation:

The slope and y-intercept of the line is 2 and -7/9 respectively

The formula for calculating the slope intercept form of an equation is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Given the equation -18x-9y = 7

Write in slope intercept form

-9y = 18x + 7

y = -18/9 x - 7/9

Compare

m = -2

b = -7/9

Hence the slope and y-intercept of the line is 2 and -7/9 respectively

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Acasa's expected value loss  be per customer who chooses plan A

Assumption

Fill customers choose plan A

The  average payout is the same for plans A & B

Expected value = net payment in -Net payment out

⇒ 1000% × 700$ - 5% ×[27000$ - 3000$]

⇒ 700$ - 1200$

⇒ -500$

What are a profit and loss?

A profit and loss statement is a record of revenue and expenses incurred by a business in a given period of time. A profit and loss statement is also called a P&L, an income statement, a statement of profit and loss, and income and expense statement, or a statement of financial results.

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Layla should by not more than 4 outfits in order not to exceed her budget

The inequality expression is n  ≤ 4

Given data

price of a new bicycles = $319.28

3 bicycle reflectors = $4.90

a pair of bike gloves = $37.94.

new biking outfits = $77.02 each

Layla's total money to spend at a bicycle store = $680

Layla's expenses will not be more than her total amount to spend at the bicycle store therefore will use less than or equal to sign, before the sum of the other items

The expression is written as follows

$680 ≤ $319.28 + 3 * $4.90 + $37.94 + n * $77.02

where n represents the number of the new biking outfits

$680 - ( $319.28 + 3 * $4.90 + $37.94 ) ≤. + n * $77.02

( $680 - ( $319.28 + 3 * $4.90 + $37.94 ) ) /  $77.02 ≥ n

( $680 - $371.64 ) /  $77.02 ≥ n

( $308.36) /  $77.02  ≥ n

4  ≥ n

Layla should by not more than 4 outfits in order not to exceed her budget

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Answer:

f(x)= 2x-17

Step-by-step explanation:

Let, input be x,

Multiplying input by 2: 2x

then subtracting it by 17: 2x-17

Therefore, Symbolic representation required is : f(x)= 2x-17

The symbolic representation of the function defined is f(x) = 2x-17

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.

Given that, the function f multiplies it’s input by 2 and then subtracts 17 to produce its output. we need to express the operation into symbolic representation.

Let the input be x, then the output will be the value of f(x).

Therefore, it is given, the input is multiplied by 2, that mean,

f(x) = 2x

Then 17 is subtracted from it, that will give,

f(x) = 2x-17

Hence, the symbolic representation of the given operation is f(x) = 2x-17

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Answer: 300mL + 500mL = 800 mL

2000 mL - 800 mL = 1200mL

The patient can have 1200 milliliters of liquid for the rest of the day.

Answer:

Adult tickets = 276

Step-by-step explanation:

a + s = 491          Eq. 1

a = s + 61             Eq. 2

a = adult tickets

s = student ticket

Replacing Eq. 2 in Eq. 1:

(s+61) + s = 491

2s + 61 = 491

2s = 491 - 61

2s = 430

s = 430/2

s = 215

from the Eq. 2

a = s + 61

a = 215 + 61

a = 276

Check:

from Eq. 1:

a + s = 491

276 + 215 = 491

Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).

It should be noted that the Associative Law of Addition explains that a + (b + c) is the same as (a + b) + c.

Therefore, Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).

It should be noted that this will still give same value.

Therefore, the correct option is B.

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Answer:

number of males: 29

Number of females: 18

Step-by-step explanation:

X=number of females

X+11=number of males

X+X+11=47

2X+11=47

2X=47-11

2X=36

X=36/2

X=18

So number of females = 18

X+11=18+11=29

So number of males = 29

The ascending order is: 2/8 < 1/3 < 5/12 < 3/4.

The given order is;

1/3 , 3/4 , 5/12 ,2/8​

Write the values in the decimal forms;

0.33, 0.75, 0.416, 0.25.

Now arrange the sequence is the ascending order;

0.25, 0.33, 0.416, 0.75

Again transform them in fraction form;

2/8 < 1/3 < 5/12 < 3/4

Thus, the ascending order is found as 2/8, 1/3, 5/12, 3/4.

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Step-by-step explanation:

remember, a parallelogram is a quadrilateral with 2 pairs of parallel and equal sides, and 2 pairs of correspondingly equal angles. and its diagonals are intersecting each other in their midpoint.

with that in mind

(i)

because ABCD is a parallelogram, AD = BC, and AB = CD.

and angle A = angle C (and angle B = angle D).

therefore, as AE = FC, this also means that ED = BF.

via SAS (side angle side) it is clear that the triangles ABE and CDF are congruent.

therefore, EB = DF.

as ED is part of AD, and BF is part of BC, it is also clear that ED || BF.

together with ED = BF this means that EB || DF.

so, we have with BEDF 2 pairs of parallel and equal sides. and that is a parallelogram.

(j)

BCDE and ABCG are parallelograms.

so, BC = DE = AG, CD = BE, AB = CG.

due to the midpoint intersection rule of the diagonals of parallelograms, we also know

GE = CG = AB, DG = BG.

and as CG || AB, then also GE || AB.

together with AB = GE that means that AE = BG and AE || BG.

so, we have with ABGE again 2 pairs of parallel and equal sides. and that is a parallelogram.

Answer: x=2

Step-by-step explanation:

x=z/4+7

x=z/4+3+4

x=(z/4+3)+4

x=-2+4

x=2

Answer:

104.8cm³(1 decimal place)

Step-by-step explanation:

Volume of a cone is given by the formula

V=1/3πr²h

we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7

V=1/3× 22/7×5²×4

V=1/3 × 22/7 ×25 ×4

V=2200/21

V=104.76190476

V=104.8cm³(1decimal place)

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Answer:

c) 144

Step-by-step explanation:

Since A is between Y and Z,

[tex]YZ = YA + AZ[/tex]

[tex]116 = 22 + 16x\\16x = 116 - 22\\16x = 144\\x = 9[/tex]

however, the question asks for [tex]the length of AZ[/tex], not the value of x.

Thus,

[tex]AZ = 16x[/tex]

[tex]AZ = 16\\[/tex] × [tex]9[/tex]

[tex]AZ = 144[/tex]

Answer:

[tex]\begin{array}{|l|l|c|c|c|}\cline{1-5} \textbf{Equation} & \textbf{Standard Form} & \textbf{a} & \textbf{b} & \textbf{c}\\\cline{1-5} \text{1.}\:\:x^2+x=20 & x^2+x-20=0 & 1 & 1 & -20\\\cline{1-5} \text{2.}\:\:4x^2-2x=28 \phantom{)))}& 4x^2-2x-28=0 \phantom{)))}& 4 & -2 & -28\\\cline{1-5} \text{3.}\:\:5x^2=225 & 5x^2-225=0 & 5 & 0 & -225\\\cline{1-5} \text{4.}\:\:x^2-x=36 & x^2-x-36=0 & 1 & -1 & -36\\\cline{1-5} \text{5.}\:\:3x^2-4=7x & 3x^2-7x-4=0 & 3 & -7 & -4 \\\cline{1-5}\end{array}[/tex]

Step-by-step explanation:

Standard form of a quadratic equation:

[tex]\boxed{ax^2+bx+c=0}[/tex]

Question 1

Given:

[tex]x^2+x=20[/tex]

Rearrange to standard form by subtracting 20 from both sides:

[tex]\implies x^2+x -20=20-20[/tex]

[tex]\implies x^2+x -20=0[/tex]

Therefore:

Question 2

Given:

[tex]4x^2-2x=28[/tex]

Rearrange to standard form by subtracting 28 from both sides:

[tex]\implies 4x^2-2x-28=28-28[/tex]

[tex]\implies 4x^2-2x-28=0[/tex]

Therefore:

Question 3

Given:

[tex]5x^2=225[/tex]

Rearrange to standard form by subtracting 225 from both sides:

[tex]\implies 5x^2-225=225-225[/tex]

[tex]\implies 5x^2-225=0[/tex]

Therefore:

Question 4

Given:

[tex]x^2-x=36[/tex]

Rearrange to standard form by subtracting 36 from both sides:

[tex]\implies x^2-x-36=36-36[/tex]

[tex]\implies x^2-x-36=0[/tex]

Therefore:

Question 5

Given:

[tex]3x^2-4=7x[/tex]

Rearrange to standard form by subtracting 7x from both sides:

[tex]\implies 3x^2-4-7x=7x-7x[/tex]

[tex]\implies 3x^2-4-7x=0[/tex]

[tex]\implies 3x^2-7x-4=0[/tex]

Therefore:

Answer:

ratio: 3 vowels; 2 consonants

media: 3 vowels; 2 consonants

letter: 2 e's; 1 r

electric: 2 e's; 1 r