What best describes the distance between two points with coordinates (2,-3) and (-4,2)

The original price of the gourmet candy is $44, as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."

Given, the percent of discount at Dave's candy store is 15% = 0.15.

Sale price of a gourmet candy is $37.40.

Let, the original price of the gourmet candy is x.

Therefore, [x - (x × 0.15)] = 37.40

⇒ (x - 0.15x) = 37.40

⇒ 0.85x = 37.40

⇒ x = (37.40/0.85)

⇒ x = 44

Therefore, the original price of the gourmet candy is $44.

Learn more about a linear equation here: brainly.com/question/2984088

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Answer:

seniors: 780

juniors: 1170

sophomores: 975

freshmen: 585

Step-by-step explanation:

4 + 6 + 5 + 3 = 18

3510/18 = 195

195(4) = 780

195(6) = 1170

195(5) = 975

195(3) = 585

Answer:

4:25:6 would be the simplest form

Answer:

C. To control both unintentional research bias and participant prior beliefs

Step-by-step explanation:

Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.

Thus,the correct answer is option C as it includes both the researcher and the participants

Answer:

1. C(9,4) : n=9, s=4

2. C(10,5) : r=5

3. C(5,5) : n=5

4. C(7,7) : n=6

5. C(18,17) : r=3

Step-by-step explanation:

Answer:

(364.595 ; 391.405)

Step-by-step explanation:

Given the sample data:

406, 385, 389, 383, 352, 379, 388, 343, 368, 387

Using calculator :

Sample mean, xbar = 378

Standard deviation, s = 18.74

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

TCritical at df = 24 ; 0.05 = 2.262

Margin of Error = 2.262 * 18.74/√10 = 13.405

Lower boundary = (378 - 13.405) = 364.595

Upper boundary = (378 + 13.405) = 391.405

(364.595 ; 391.405)

Polygon: "a plane figure with at least three straight sides and angles, and typically five or more."

1. P

2. NP

3. P

4. NP

5. P

"A planar polygon is convex if it contains all the line segments connecting any pair of its points."

1. C

2. NC

3. NC

4. C

5. NC

Answer:

B) x = (-5 + √10)/3 and (-5 - √10)/3 is the answer.

Step-by-step explanation:

3x² + 10x + 5 = 0

a = 3

b = 10

c = 5

Finding the Discriminant (D),

D = b² - 4ac

D = 10² - 4 × 3 × 5

D = 100 - 60

D = 40

√D = 2√10

Using quadratic formula,

x = (-b ± √D)/2a

x = (-b + √D)/2a

x = (-10 + 2√10)/2 × 3

Taking out the common factor 2,

x = (-5 + √10)/3

Similarly,

x = (-b - √D)/2a

x = (-10 - 2√10)/2 × 3

x = (-5 - √10)/3

Answer:

[tex]\huge \red {\bigg \{\frac{ - 5 + \sqrt{10}}{3}, \: \: \frac{ - 5 - \sqrt{10}}{3}\bigg \}}[/tex]

Step-by-step explanation:

[tex]3 {x}^{2} = - 10x - 5 \\ 3 {x}^{2} + 10x + 5 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 3 \: \: b = 10 \: \: c = 5 \\ now \: by \: quadratic \: formula \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\ plug \: a = 3 \: \: b = 10 \: \: c = 5 \: in \: the \\ above \: formula \\ x = \frac{ - 10 \pm \sqrt{ {(10)}^{2} - 4(3)(5) }}{2 \times 3} \\ x = \frac{ - 10 \pm \sqrt{ {100} - 60}}{6} \\ x = \frac{ - 10 \pm \sqrt{40}}{6} \\ x = \frac{ - 10 \pm2 \sqrt{10}}{6} \\ x = \frac{ 2(- 5 \pm \sqrt{10})}{6} \\ x = \frac{ - 5 \pm \sqrt{10}}{3} \\ x = \purple{ \bold{\bigg \{\frac{ - 5 + \sqrt{10}}{3}, \: \: \frac{ - 5 - \sqrt{10}}{3}\bigg \}}}[/tex]

Answer:

5x + 4

Step-by-step explanation:

4 more = +4

5 times a number = 5x

Answer:

3

one

will represent

the student

Answer:

Step-by-step explanation:

it's an unfair question b/c we have to know if it's out of all girls or out of all kids.  So we need to know the population total.   so if it was just girls the it's

3/45 = 0.0666666666666...

if it's out of kids.. then it's  3/123= 0.02439....

so that's the two choices.. which one is on the list of choices? both are so that's why this is an unfair question.  maybe this is more to the question not shown in the picture?  hmmmm

Answer:

Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.

Answer:

Step-by-step explanation:

Answer:

[tex]BE = 4\sqrt2[/tex]

Step-by-step explanation:

Given

The attached square

Required

Find BE

First, we calculate BD (the diagonal) using Pythagoras theorem.

[tex]BD^2 = BA^2 + AD^2[/tex]

Since the shape is a square, then

[tex]BA = AD = 8[/tex]

So:

[tex]BD^2 = 8^2 + 8^2[/tex]

[tex]BD^2 = 2(8^2)[/tex]

Take square roots

[tex]BD = \sqrt{2(8^2)[/tex]

[tex]BD = \sqrt{2} * 8[/tex]

[tex]BD = 8\sqrt{2}[/tex]

BE is half BD.

So:

[tex]BE = \frac{1}{2} * BD[/tex]

[tex]BE = \frac{1}{2} * 8\sqrt2[/tex]

[tex]BE = 4\sqrt2[/tex]

Answer: $5,150

Step-by-step explanation:

5000x0.03=150+5000=5,150

Answer:11

Step-by-step explanation:

There are 11 cuts to make 12 pieces on 1ft each

Answer:

H ≤ 125

Step-by-step explanation:

The coach can order 12 hats

Answer:

18 11/15

Step-by-step explanation:

This is the answer because:

1) First, find the common denominator: 12 1/3 = 12 5/15 and 6 2/5 = 6 6/15

2) Then add the fractions: 12 5/15 + 6 6/15 = 18 11/15

3) 18 11/15 is reduced to the lowest terms because 11 is a prime number.

Therefore, 18 11/15 is the answer.

Hope this helps! :)

Answer:

52.7

Step-by-step explanation:

121/3= 40.33

62/5= 12.4

40.3+12.4=52.7

plz mark me as brainliest.

Answer:

17/5

Step-by-step explanation:

If cosθ = 12/13, find (1+cotθ)

As shown in the diagram attached,

Cotθ = 1/tanθ = adjacent/opposite

From the diagram attached,

cotθ = 12/a................... Equation 1

But we can find the value of a by using  pythagoras theorem

13² = 12²+a²

169 = 144+a²

a² = 169-144

a² = 25

a = √25

a = 5.

Substitute the value of a into equation 1

Therefore,

cotθ = 12/5

(1+cotθ) =(12/5)+1 = (5+12)/5

(1+cotθ) = 17/5

Answer:

About 7.84 years before the deer population is 400

Step-by-step explanation:

So first we write our equation

125(1.16)^x = 400

Then we divide all sides by 125

1.16^x=3.2

x log 1.16 = log 3.2

06445798922x=0.50514997832

x= 7.83688700862

7.83688700862 years to go!

Answer:

Step-by-step explanation:

Given:

The ratio of corresponding sides (consider the order of letters in the name of figures):

Answer:

Solution given:

qrst~nkpm

since the side of similar quadrilateral are proportional so

qt/mn=rs/kp

60/42=?/35

?=60/42×35=50

missing side =50 is your answer

Answer:

-1

Step-by-step explanation:

Answer:

Diagonal = 13 yd

Step-by-step explanation:

The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²

Where,

a = 12 yd

b = 3 yd

c = 4 yd

d = diagonal

Plug in the values

d² = 12² + 3² + 4²

d² = 169

d = √169

d = 13 yd

Answer:

Max cannot be correct because a triangle is made up of three angles, whose sum is 180°. Max's answers add up to 170°

Answer:

The solution is [tex]x = \frac{1}{2}[/tex]

Step-by-step explanation:

To solve this exponential equation, we must write both sides as powers of 3.

The equation given is:

[tex]3^{7x + 4} = (\frac{1}{27})^{x-3}[/tex]

Since [tex]3^3 = 27[/tex], we have that [tex]3^{-3} = \frac{1}{3^3} = \frac{1}{27}[/tex], so[tex]\frac{1}{27} = 3^{-3}[/tex]

Then

[tex]3^{7x + 4} = (\frac{1}{27})^{x-3}[/tex]

[tex]3^{7x + 4} = (3^{-3})^{x-3}[/tex]

[tex]3^{7x + 4} = 3^{-3(x-3)}[/tex]

[tex]3^{7x + 4} = 3^{-3x + 9}[/tex]

Since both sides are now powers of 3, we can equal them:

[tex]7x + 4 = -3x + 9[/tex]

[tex]10x = 5[/tex]

[tex]x = \frac{5}{10}[/tex]

[tex]x = \frac{1}{2}[/tex]

The solution is [tex]x = \frac{1}{2}[/tex]

Answer:

C. 4x + x < 150

Step-by-step explanation:

x = Joey's points

4x = Liz's Points

together they have fewer than 150 points means the inequality is < 150

So the answer is:  4x + x < 150

Answer:

This may help you I think so

Answer:

40213........................

Answer:

5647+34566=40213 is your answer

Answer:

Christmas lights are price based shopping products

Step-by-step explanation:

From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.

The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).

Because of this, the customer will opt for least expensive items, leaving the more expensive items.

Answer:

25%

Step-by-step explanation:

28 to 46 consists of 1 whisker so that's 1/4

2 whiskers = 1/2 = 50%

The IQR = 1/2 = 50%

1/4 = 25%