Simplify each equation. Tell whether the equation has one, no, or infinite
solutions.

5x + 6 = 2 + 3x

no solutions

one

infinite solutions

10pts will mark brainliest if right

Answer:

y = five-thirds x

Step-by-step explanation:

y = mx + b       y intercept = 0

y = 5/3 x    slope = 5/3

Answer:

The answer is A

Step-by-step explanation:

its easy pls like

Answer:

11

Step-by-step explanation:

|-7|+|-4|

-|-7|-|-4|

Answer 11

Answer:

11

Step-by-step explanation:

can i pls have brainlist i really need it to level up plss

Answer:

.049 (2sf)

Step-by-step explanation:

[tex] \frac{2}{9} \times \frac{2}{9} = 0.4938[/tex]

Answer & explanation:

The correct answer is 4/81. The probability of each marble drawn being brown is 2/9 because there are two brown marbles in a bag of nine total marbles. So, the probability that both marbles drawn will be brown is 2/9 times 2/9 or 4/81!

The number 614 belongs to the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers. It does not belong to the set of irrational numbers.

The number 614 belongs to multiple sets of numbers, including natural numbers, whole numbers, integers, rational numbers, and real numbers. It does not belong to the set of irrational numbers.

The number 614 belongs to the sets: Whole Numbers, Rational Numbers, Integers, Natural Numbers, and Real Numbers.

A. Whole Numbers: Whole numbers include all natural numbers and zero. Since 614 is a positive integer, it is a whole number. So, A is correct.

B. Rational Numbers: Rational numbers include integers and fractions. Since 614 is an integer, it is also a rational number. So, B is correct.

C. Integers: Integers include all positive and negative whole numbers along with zero. Since 614 is a positive integer, it is an integer. So, C is correct.

D. Irrational Numbers: Irrational numbers are numbers that cannot be expressed as a fraction of two integers. Since 614 can be expressed as the fraction 614/1, it is not irrational. So, D is incorrect.

E. Natural Numbers: Natural numbers include all positive integers starting from 1. Since 614 is a positive integer, it is a natural number. So, E is correct.

F. Real Numbers: Real numbers include all rational and irrational numbers. Since 614 is a rational number, it is also a real number. So, F is correct.

In summary, the correct sets for the number 614 are A, B, C, E, and F.

Answer:

Dimension of the Rectangle : 2W - 150 by W

Step-by-step explanation:

Given

Land Size = 150 metres

This land size represents the perimeter of the land

Let P = Perimeter

So, P = 150 m

To bisect the field into two equal halves means to divide length or width of the field into two equal halves

Let L = Length of the field

Let W = Width of the field

Assuming the length of the field is to be bisected., then the campground owner is left with 0.5L (i,e half of the length)

Perimeter of a rectangle is calculated by: 2(Length + Width)

P = 2(L + W) by substitution, becomes

150 = 2(0.5L + W) ----open bracket

150 = L + 2W ---- Male L the subject the formula

L = 2W - 150

The dimension of the largest area that can be enclosed id given by (L,W)

By substitution; the expression becomes

Dimension of the Rectangle : 2W - 150 by W

Answer: (3)/(4)(3x+8), x^(2)-4, 3^(2+)x, -5(x-3)

Step-by-step explanation: Those are the right answers, trust me, this took a while.

Have a good day, brainliest wouldn't be bad :)

Answer:

The area of the triangle is 7.5 unit²

Step-by-step explanation:

Here we have the coordinates given as

(-3, 5) (-3, 8) and (2, 5)

Let us call the points A = (-3, 5)

B = (-3, 8) and

C = (2, 5)

Therefore the lengths of the sides of the triangle are

AB = a =  [tex]\sqrt{(-3-(-3))^2+(5-8)^2} = 3[/tex]

AC = b = [tex]\sqrt{(-3-2)^2+(5-5)^2} = 5[/tex]

BC = c = [tex]\sqrt{(-3-2)^2+(8-5)^2} = \sqrt{34}[/tex]

Therefore the Area can be derived from Heron's formula which is

A =  [tex]\sqrt{s\times (s-a)\times (s-b)\times (s-c)}[/tex] where s = semi perimeter or (a + b + c)/2

Therefore, plugging the values, we get

s =   (3 + 5 + √34)/2 = 6.9155≈6.92

A =  [tex]\sqrt{6.92\times (6.92-3)\times (6.92-5)\times (6.92-\sqrt{34} )}[/tex] = 7.499≈7.5.

Answer:

67.5 square units

Step-by-step explanation:

The points (-3, 5) and ( -3, 8) form a vertical segment, and the points (-3, 5) and ( 2, 5) form a horizontal segment, so the triangle has a right angle.

The base of the triangle is the segment formed by the points (-3, 5) and ( 2, 5), and their distance is:

D1 = sqrt((-3-2)^2 + (5-5)^2) = 5

The height of the triangle is the segment formed by the points (-3, 5) and ( -3, 8), and their distance is:

D2 = sqrt((-3+3)^2 + (5-8)^2) = 3

If the triangle is dilated by a scale of 3, so the base is D1*3 = 15 and the height is D2*3 = 9, then the area is:

The area of a triangle is Base * Height / 2, so we have that:

Area = 15 * 9 / 2 = 67.5 square units

Answer:

1182 mg  to the nearest mg.

Step-by-step explanation:

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 * (100/22)

= 1181.82 mg.

what is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Examples of percentages are:

10% is equal to 1/10 fraction

20% is equivalent to ⅕ fraction

25% is equivalent to ¼ fraction

50% is equivalent to ½ fraction

75% is equivalent to ¾ fraction

90% is equivalent to 9/10 fraction

Given,

Dave determines the meal he ordered at the restaurant contains 22% of his daily sodium intake

Meal contains 260 mg of sodium

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 x ([tex]\frac{100}{22}[/tex])

= 1181.82 mg.

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 * (100/22)

= 1181.82 mg.

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Answer:

40.6

Step-by-step explanation:

Pretty sure a complementary angle is 90 so 90-49.4=40.6

Answer:

[tex]y = 7x + 4 \\ y - 4 = 7x \\ \frac{y - 4}{7} = \frac{7x}{7} \\ x = \frac{y - 4}{7} [/tex]

hope this helps you....

Answer:

x = y-4

        7

Step-by-step explanation:

y = 7x + 4

y- 4 = 7x

[tex]\frac{y-4}{7}[/tex] =x

Answer:

when x=1, y=6. etc.

Step-by-step explanation:

x       y

1       6

2      7

3      8

4      9

Answer:

N78

Step-by-step explanation:

The explanation is in the picture

please rate and mark as brainliest

Answer:

f(-9)= 243

Step-by-step explanation:

f(x) = 4x²+7x -18

f(-9) = 4(-9)²+7(-9)-18

= 4(81) -63-18

= 324- 81

= 243

Answer:279

Step-by-step explanation:

Bc

Answer:

4 chapters an hour

Step-by-step explanation:

24 / 6 = average of 4 chapters an hour

Answer:

4 chapters per hour

Step-by-step explanation:

[tex]rate \: of \: reading \\ = \frac{total \: chapters}{total \: time} \\ \\ = \frac{24}{6} \\ \\ = 4 \: chapters \: per \: hour[/tex]

Answer:

(2x+3)(x+1)

Step-by-step explanation:

Porque si lo factorizas da ese resultado.

The factors of the polynomial are (2x + 3) and (x+1)

Given the quadratic equation expressed as:

2x^2+5x+3

We are to find the factors of the given quadratic function as shown:

2x^2+5x+3

2x^2+2x +3x +3

2x(x+1)+ 3(x+ 1)

(2x + 3)(x + 1)

Hence the factors of the polynomial are (2x + 3) and (x+1)

Learn more on factors of the polynomial here:https://brainly.com/question/527031

Answer:

1.Robert borrowed  $ 5,500.00  

2.The amount Robert would repay next year is $ 11,576.69  

3.The interest rate on the loan is 7%

Step-by-step explanation:

The interest on the loan can be computed using compound annual growth

rate

CAGR=(EB/BB)^1/n-1

EB is ending balance of $8831.80 in year7

BB is the balance of year 5  $7714.03

n=7-5=2

CAGR=(8831.8/7714.03)^(1/2)-1

CAGR==1.070000427-1

CAGR=0.070000427

CAGR=7%

The amount borrowed can be computed using the PV formula

At year 0 year 5 amount of $7714.03 is the future value

rate of interest is 7%

number of years is 5

PV=$7714.03*(1+7%)^-5

PV=$ 5,500.00  

The amount Robert would pay next year is :

FV=$10,819.338(1+7%)^1

FV=$ 11,576.69  

Answer:

The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                   48.08 in³ ---------------- $1.99

                         15  in³ ----------------  x

                          x = (15 x 1.99)/48.08

                          x = 29.85/48.08

                          x = $0.62

Answer:

Elephant 14%

Panda 18%

Tiger 29%

Bonobo 39%

Step-by-step explanation:

Divide each number by 2400 then multiply the answer by 100.  

The percentage of elephants, pandas, tigers, and bonobos are 14%, 18%, 29%, and 39% respectively.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

The zoo has some new exhibits.

In a survey, 2400 zoo attendants are asked to choose their favorite.

From the table:

The total number of animals = 336 + 432 + 696 + 936 = 2400

Percentage of Elephant = (336/2400)x100 = 14%

Percentage of Panda = (432/2400)x100 = 18%

Percentage of Tiger = (696/2400)x100 = 29%

Percentage of Bonobo = (936/2400)x100 = 39%

Thus, the percentage of elephants, pandas, tigers, and bonobos are 14%, 18%, 29%, and 39% respectively.

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Answer:

70 adults

Step-by-step explanation:

because there is 70 adults and 50 kids

Answer:

x = -16

Step-by-step explanation:

x + 7 = -9

x = -9 - 7

x = -16

Answer:

X=-16

Step-by-step explanation:

If you add -16 Then add a positive 7 you will end up with a -9

Have a great day

Answer:

The distance that represents it is 651.9 m.

Step-by-step explanation:

In order to calculate the distance that the wheel travelled we need to find the length of the circumference of the wheel. This is given by the following formula:

length = 2*pi*r = pi*d

Since the diameter of the wheel is 0.6 m we can find the length of the wheel that is:

length = 3.14*0.6 = 1.884 m

The wheel made 346 full turns, that means that the total distance is the number of turns multiplied by the length of the wheel.

distance = 346*1.884 = 651.9 m

The distance that represents it is 651.9 m.

Given:

Two cubes are rolled together.

To find the probability that the sum of the numbers on the number cubes will equal 4.

Formula

P(A) = [tex]\frac{x}{y}[/tex]

where, A be any event.

x be the number of successful outcomes

y be the total number of outcomes

Now,

If the two cubes are rolled together, total number of outcomes = 36

In total outcomes, the sum of the numbers of cube will be 4 for (1,3),(3,1) and (2,2)

So, the number of successful outcomes = 3

Now,

Putting x=3 and y = 36 we get,

[tex]P(A) = \frac{3}{36}[/tex]

or, [tex]P(A) = \frac{1}{12}[/tex]

Hence,

The probability that the sum of the numbers on the number cubes will equal 4 is [tex]\frac{1}{12}[/tex]. Option D.

Answer:

(x+3)(2x+7)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x2 +  13x) +  21

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+13x+21

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +13x  its coefficient is  13 .

The last term, "the constant", is  +21

Step-1 : Multiply the coefficient of the first term by the constant   2 • 21 = 42

Step-2 : Find two factors of  42  whose sum equals the coefficient of the middle term, which is   13 .

      -42     +     -1     =     -43  

      -21     +     -2     =     -23  

      -14     +     -3     =     -17  

      -7     +     -6     =     -13  

      -6     +     -7     =     -13  

      -3     +     -14     =     -17  

      -2     +     -21     =     -23  

      -1     +     -42     =     -43  

      1     +     42     =     43  

      2     +     21     =     23  

      3     +     14     =     17  

      6     +     7     =     13     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  6  and  7

                    2x2 + 6x + 7x + 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x+3)

             Add up the last 2 terms, pulling out common factors :

                   7 • (x+3)

Step-5 : Add up the four terms of step 4 :

                   (2x+7)  •  (x+3)

            Which is the desired factorization

Final result :

 (x + 3) • (2x + 7)

- If you want this explained differently please let me know. Hope this helps!

We have been given the 5-number summary of a box plot that represents Coins in Collection. The five-number summary from left to right is 7, 16, 30, 36, 38.

We are asked to find the inter-quartile range of the given data.

We know that interquartile range is difference of upper quartile and lower quartile.

We know that the 5-point summary represents the lower data point, lower quartile, median, upper quartile and upper data point respectively.

We can see from our given 5 point-summary that lower quartile is 16 and upper quartile is 36.

[tex]\text{Interquartile range}=\text{Upper quartile}-\text{Lower quartile}[/tex]

[tex]\text{Interquartile range}=36-16[/tex]

[tex]\text{Interquartile range}=20[/tex]

Therefore, the interquartile range of the given data is 20 and last option is the correct choice.

Answer:

here is my answers, it is just my test....

Answer:

Maybe A hopefully its the correct answer

Answer:

0.045714286

Step-by-step explanation:

The chance of it being snowy is 16/50, or 0.32. And the chance of that day being Monday out of 7 days over the week is 1/7, or 0.143. Then the chances that the first day of winter will be a snowy Monday is 0.32*0.143 = 0.045714286

Answer:

A- roll and spin 50 times. Roll on a 3 AND land on red

Step-by-step explanation:

1. baseball + basketball = 240

2. tennisball + soccerball = 500

3. soccerball - basketball + tennisball = 455

4. baseball + tennisball = 215

Subtract 1 from 4

5. tennisball - basketball = -25

Rearrange 3

6. soccerball + tennisball - basketball = 455

Substitute 5 into 6

7. soccerball - 25 = 455

Solve

soccerball = 480

Answer:

a = 3.1

b = 3.2

Step-by-step explanation:

I did the quiz

Answer:

a =  

✔ 3.1

b =  

✔ 3.2

Step-by-step explanation:

Answer:

B

Step-by-step explanation: