Which represents a unit rate the cost of cat food $36 per 3 bag, the cost of orange juice is $3 per jug, the cost of photocopies is $1 per 10 pages, the cost of roses is $50 per dozen

The girl which is correct between kate and her friend Margo is Margo.

The correct answer option is option B

If each friend gets the same number of pens;

Number of pens each friend get = Number of pens Kate has / Number of Kate's friends

= 63 / 9

= 7

Check:

Number of pens each friend get × Number of Kate's friends = Number of pens Kate has

7 × 9 = 63

Therefore, Kate's friend, Margo is correct.

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Answer:

C

Step-by-step explanation:

the angle opposite of it is 30

Answer:

$3.50

Step-by-step explanation:

42 divided by 12 is the price of one cookie.

42 divided by 12 = $3.50

hope this helps :)

Answer:

The number is 5

Step-by-step explanation:

A number is multiplied by 8 = 8x

8x + 2

8x + 2 = 42         Subtract 2 from both sides

    - 2      -2

8x = 40                Divide by 8

x = 40/8

x = 5

Answer:

m = 74

Step-by-step explanation:

2m+8 +24 has to = 180 because they form a line. So the equation would be 2m+32 = 180, so then 2m would equal 148, so m = 74.

Answer:

0.0023

Step-by-step explanation:

Attached is a filled-in place value chart with the info for answering this question and a blank one for any further questions!

Hope this Helps! :)

If you have any further questions, leave them in this answers comments and I will try my best to answer them!

-SGO

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

10 watts per squares meter

The factorisation of  20xy - 54 can be expressed as 2( 10xy - 27 ).

The concept here is the factorisation . The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, typically smaller or simpler things of the same kind.

We were given, 20xy - 54, we can see that that factor of 2 is common for both 20xy and 54.

Then we can factorize as 2( 10xy - 27 ).

2( 10xy - 27 )

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Answer:

13.50 m

Explanation:

100 cm is equivalent to 1 m, so we can convert 1,350 cm in m using the following equation:

Therefore, 1,350 cm is equivalent to 13.50 m.

Answer:

x = 4

Step-by-step explanation:

3x + 2 = 14

→ 3x = 14 - 2

→ 3x = 12

→ x = 12/3

→ x = 4

````````````````````````

Answer:

4/3

Step-by-step explanation:

you use the slope formula y^1 - y^2 over x^1 over x^2, substitute the said values and are left with the slope of 4/3 in its improper form.

Hope this helps!!! :3

Answer:

443 feet

Step-by-step explanation:

If the London Eye is 39 feet taller than Redhorse Osaka, we can add 39 to the height of Redhorse Osaka (404). Doing so, we get 443 feet!

Answer:

443

Step-by-step explanation:

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{0}}} \implies \cfrac{ 2 }{ 6 } \implies \cfrac{ 1 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }x+2 \end{array}}\)

An arrangement of more than one repeating shape with no spaces or overlapping between shapes is a semi-regular tessellation

Given data ,

Let the semi-regular tessellation be represented as A

Now , the value of A is

A semi-regular tessellation is a tiling of the plane by two or more regular polygons in such a way that every vertex has the same configuration of polygons in the same order

Therefore , an arrangement of more than one repeating shape with no spaces or overlapping between shapes

Hence , the semi-regular tessellation is solved

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The average rate of change for the interval from x = 4 to x = 6 is -10 option (D) -10 is correct.

Any equation of the form \(\rm ax^2+bx+c=0\)  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

It is given that:

The quadratic function is represented by the table given in the picture.

As we know, the standard form of the quadratic function is:

f(x) = ax² + bx + c

The rate of change can be defined as the change in values of a dependent variable with respect to the independent variables.

The average rate of change for the interval from x = 4 to x = 6:

= (-37+17)/(6-4)

= (-20)/(2)

= -10

Thus, the average rate of change for the interval from x = 4 to x = 6 is -10 option (D) -10 is correct.

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Ana will spend K23.94 for 21 days.

To calculate how much Ana will spend for 21 days, we need to determine the cost per day and then multiply it by the total number of days.

Since Ana spends K8.00 per week, we can find the daily cost by dividing the weekly cost by the number of days in a week.

Cost per day = K8.00 / 7 days = K1.14 (rounded to two decimal places)

Now, we can calculate how much Ana will spend for 21 days by multiplying the cost per day by the total number of days.

Total spending = K1.14 * 21 days = K23.94

Therefore, Ana will spend approximately K23.94 for 21 days.

It's important to note that we rounded the cost per day to two decimal places. In real-life scenarios, Ana may have to pay the nearest whole currency amount per day. Therefore, the actual total spending might differ slightly depending on the rounding or any variations in the daily cost.

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Answer:

y=1.164x+0.885

Step-by-step explanation:

np

The value of x is given as follows:

x = 24.

The measure of angle DFE is given as follows:

<DFE = 62º.

To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angle measures for this problem are given as follows:

Hence the value of x is obtained as follows:

180 - 5x + 14 + 44 + 3x - 10 = 180

228 - 2x = 180

2x = 48

x = 24.

The measure of angle DFE is obtained as follows:

<DFE = 3(24) - 10

<DFE = 72 - 10

<DFE = 62º.

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Answer:

195.205998 years

Step-by-step explanation:

P=P0(1.046)^t   P=future population   P0=initial population  t=years passed

38,000,000,000 = 5,849,000(1.046)^t

1.046^t = 38,000,000,000/5,849,000

1.046^t = 38,000,000/5,849

plug in log on both sides

log 1.046^t = log (38,000,000/5,849)

t[log 1.046] = log (38,000,000/5,849)

t = In (38,000,000/5,849)/ In 1.046

t ≈ 195.205998 (hope this helps)

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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THIS IS THE COMPLETE QUESTION BELOW;

In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

A. 0.10

B.0.50

C. 0.66

D. 0.06

Answer:

OPTION D is correct

d)0.06

the probability that a randomly selected team from Littletown goes to the city and state playoffs is \(0.06\)

Step-by-step explanation:

The probability that a baseball team goes to city playoffs is 0.30.

P(baseball team goes to city playoffs)=0.30

The probability that the team goes to state playoffs given that the team goes to the city playoffs is 0.20.

P(team goes to state playoffs given that the team goes to the city playoffs)=0.20

From our knowledge of set, we know that

P(A | B)= P(A ∩ C)/P(C)

where A= city playoffs

B= state playoffs

P(State play off | city play off)=0.20

P(State play off ∩ city play off)/P(city play off,)=0.20

P(State play off ∩ city play off)/0.30 =0.20

P(State play off ∩ city play off)= 0.30 × 0.20

= 0.06

Hence,the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06

Answer:

The work for the problem is correct and also the answer is correct.

Explanation:

Given the given cube.

we want to determine if the work for the problem is correct.

The volume of the shape can be calculated using the formula;

Given;

substituting the values;

Therefore, the work for the problem is correct and also the answer is correct.

Answer:

Gcf: 6

Factored form:

6 (2x+3)

Answer:

y/x = R

Step-by-step explanation:

The two quantities x and y are proportional means they have a relation.

The equation is;

y= Rx ------to find the proportional R you make R the subject of the formula;

y/ x = R

The correct answer is C) Consumers differ in their preference for Android phones and iPhones.

The p-value is a measure of the strength of evidence against the null hypothesis. It is calculated based on the observed data and the alternative hypothesis. The alternative hypothesis is the statement that we are trying to test against the null hypothesis.

In general, the calculation of the p-value does not depend on whether the alternative hypothesis violates the assumption of equal or expected values. However, the choice of the appropriate statistical test and its assumptions may depend on the alternative hypothesis.

In this regard, the p-value can be calculated without bothering about the expectation violation while testing the alternative hypothesis of "consumers differ in their preference for Android phones and iPhones." This hypothesis does not make any assumption about the expected preference of consumers for Android or iPhone, so the calculation of the p-value is not affected by any expectation violation.

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Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.

For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.

Two or more expressions with an Equal sign is called as Equation.

The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.

When we subtract 28 from 16, we get -12.

But if we add 28 to -12, we get 16 again.

So we have two values of x that satisfy the equation: x = -4 and x = 4.

b. We can solve the equation by adding 28 to both sides:

(-4)² - 28 + 28 = 8 + 28

Simplifying, we get:

(-4)²= 36

Taking the square root of both sides, we get:

-4 = ±6

So the two solutions are:

x = -4 + 6 = 2

x = -4 - 6 = -10

Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.

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