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Answer:

1/4

Step-by-step explanation:

1/2 x 1/2 = 1/4

Answer:

43 3/4 cups of cheese

8 3/4 cups of olives

26 1/4 cups of sausage

Step-by-step explanation:

Answer:

43 3/4 cup of cheese

26 3/4 cups of olives

What do you mean exactly

Given that:

The consecutive sides of a rhombus are 3x-6 and x+14 .

We know that

all sides are equal in a rhombus

⇛ 3x-6 = x+14

⇛ 3x-x = 14+6

⇛ 2x = 20

⇛ x = 20/2

⇛ x = 10

Now,

3x-6 = 3(10)-6 = 30-6 = 24

Length of the side = 24 units

Now,

Perimeter of a rhombus = 4×side

⇛ P = 4×24 units

P = 96 units

Answer:-The perimeter of the given rhombus is 96 units.

also read similar questions: The degree measure of two consecutive angles of a rhombus are represented by 5x+10 and 3x+50 find x.

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the diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.

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Answer:

\(-31\)

Step-by-step explanation:

We need to find the value of: \(3^2 - (5 * 2^3)\).

First we need to look at the BIDMAS rule.

B - Brackets

I - Indices

D - Division

M - Multiplication

A - Addition

S - Subtraction

First we need to work out what is in the brackets which is: \((5 * 2^3)\)

We look at the next rule which is Indices so we do \(2^3\) first.

\(2^3 = 2 * 2 * 2 = 8\)

Then we multiply it by the five which gets us:

\((5 * 8) =40\)

Now that we've finished with what is inside the brackets, we can work out what's outside which is:

\(3^2 = 3 * 3 = 9\).

Now we've simplified it down to:

\(9 - (40)\)

Which gets us:

\(9 - 40 = -31\)

Answer:

-31

Step-by-step explanation:

1. 3^2 - (5 * 2^3)

2. 2*2*2=8

3. 3^2 - (5 * 8)

4. 5*8=40

5. 3^2 - 40

6. 3*3=9

7. 9 - 40= -31

REMEMBER PEMDAS MEANS FIRST COME () NEXT IS ExponentsTHEN Multiplication and Division (from left to right) FINALLY Addition and Subtraction (from left to right).

I’m not sure if it’s correct or not but I tried my best…

Answer 11/20

Step-by-step explanation:

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5

Write all numerators above the least common denominator

15-4/20

Subtract numbers

11/20

Answers:

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

Explanation:

Use long division or a calculator to find that -32/4 turns into -8. This is an integer because it's a negative whole number.

The same goes for -27/9 because it turns into -3

The value -36 is also an integer as well

Something like 5/11 is not an integer because 5/11 = 0.4545 approximately which isn't a positive whole number. Integers are either positive or negative whole numbers, or 0.

For similar reasons, we can see that -73.27 isn't an integer either because it's not a negative whole number.

Answer:

10 and 8

Step-by-step explanation:

10 and 8 are the factors in this equation because factors are the numbers that are mutiplied together to get the product (The answer to a mutiplication problem) Therefore the factors in this equation are 10 and 8 because those are the numbers that are mutiplied together to get the product.

Answer:

just graph the line: y=4x-12

Step-by-step explanation:

The perimeter of any shape is the length of all the sides added up:

1. For the rectangle

    \(6 + (3x - 1) + (3x - 1) + 6 = 6x - 2 + 12 =6x + 10\)

2. For hexagon

   \(10.2 + (x+4)+(x+4)+10.2+(x+4)+(x+4)=4x + 16 + 20.4=4x + 36.4\)

Hope that helps!

Answer:

x=45

Step-by-step explanation:

this should be right

The total amount in her account after t years will be 1500 + 30t.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The total amount A in an account earning simple interest is given by the equation A = P + Prt, where P is the principal, r is the rate as a decimal, and t is time in years.​

Faith deposited $1500 in an account earning 2% simple interest.

The total amount in her account after t years will be

A = 1500 + 1500 × 0.02 × t

A = 1500 + 30 × t

The total amount in her account after t years will be 1500 + 30t.

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The given side lengths of 12, 17, and 24 give a unique triangle from which the measure of angle ∠B, taken as the angle opposite the side of length 17, and found using cosine rule, is approximately 41.56°

The law of cosines states that the the square of the length of a side of a triangle is given by the sum of the square of the other two sides, less the product of two and the other two sides, and the cosine of the angle between them

Mathematically, a²= b² + c² - 2·b·c·cos(A)

The given lengths of the sides are; 12, 17 and 24

The measure of the angles are given by the law of cosines as follows;

a² = b² + c² - 2·b·c·cos(A)

Which gives;

2·b·c·cos(A) = b² + c² - a²

Which gives;

\(cos(A) = \dfrac{b^2 + c^2 - a^2}{2\cdot b \cdot c}\)

Let a = 12, b = 17, and c = 24, we have;

\(cos(A) = \dfrac{17^2 + 24^2 - 12^2}{2\times 17 \times 24} =\dfrac{721}{816}\)

\(A = arcos\left(\dfrac{721}{816}\right)\approx 27.9^{\circ}\)

Similarly, we have;

\(cos(B) = \dfrac{a^2 + c^2 - b^2}{2\cdot a \cdot c}\)

\(cos(B) = \dfrac{12^2 + 24^2 - 17^2}{2\times 12 \times 24} = \dfrac{431}{576}\)

\(B= arcos\left( \dfrac{431}{576}\right)\approx 41.56^{\circ}\)

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The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

Step-by-step explanation:

BF is the angle bisector of ∠B.

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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The scale factor is: 1.8

because of :

\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)

The perimeter of the new rectangle is 150 cm more than the original perimeter.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle with a length of 9 centimeters and a width of 5 centimeters.

The perimeter of the rectangle will be

Perimeter = 2 (9 + 5)

Perimeter = 2(14)

Perimeter = 28

If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions will be

Length = 6 × 9 = 54 cm

Width = 6 × 5 = 30 cm

The perimeter of the new rectangle is 168 cm.

When comparing the new perimeter to the original perimeter, the new perimeter will be

→ New perimeter - original perimeter

→ 168 - 28

→ 150

The perimeter of the new rectangle is 150 cm more than the original perimeter.

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Answer:

1. C
2. D
3. D
4. B

Step-by-step explanation:

Answer:

The slope will be negative

Step-by-step explanation:

The slope of the regression line tells us about the relationship or behavior of the dependent and independent variables. In the scenario above, where the weight is being compared with the number of days elapsed. What is expected of the weight and quantity of a bar soap each time it is used for a shower is that it will decrease in weight. Therefore, as the number of days increases, and hence, number of showers rise, the weight of soap will decrease. Hence, we'll obtain a negative slope, one in which the increase in a variable leads to decrease in the other.

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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AB=6cm AC=12cm

AC² = AB + BC²

12² = 6² + CB²

CB² = 12² - 6²

CB² = 144 - 36

CB² = 108

CB = √ 108 cm.

sin 55° = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686 cm

Answer:

Step-by-step explanation:

This was a question on mathswatch, so I’ve done this.

You need to round to 3 significant numbers

AB=6cm AC=12cm

AC² = AB + BC²

12² = 6² + CB²

CB² = 12² - 6²

CB² = 144 - 36

CB² = 108

CB = √ 108 cm.

sin 55° = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686 cm

CD = 12.7 cm

Answer:

7.88

Step-by-step explanation:

We have to find which of the relations given is a function.

The condition for a relation to be a function is that there is one and only one value in the range for each value in the domain.

Then, we can prove that a relation is not a function by finding a value in the domain that has two values in the range.

1) We have the relation: {(-3,0),(3,-1),(-3,1)}.

In this case, for x = -3 we have two values of y: y = 0 and y = 1.

Then, this relation does not satisfy the condition to be a function.

2) The relation {(4,-2),(2,13),(2,5)} is not a function as we have two values in the range for x = 2.

3) The relation {(-1,3),(-1,3),(3,3)} is not a function as we have two values in the range for x = -1.

4) The relation {(1,-3),(-2,0),(4,1)} is a function as there is one and only value of y for each x in the domain.

Answer: {(1,-3),(-2,0),(4,1)}

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Answer:

\(x > 60\)

Step-by-step explanation:

\(x-30 > 30\)
\(x > 60\) (add 30 onto both sides of the inequality)

Answer:

x - 5y = 30

Step-by-step explanation:

If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway

Answer:

y = 5/3 x + 4

Step-by-step explanation:

To find the inverse, interchange the x and y variables and solve for y. (that might sound a bit confusing, but don't worry! :)

Our current function is f(x) = 3/5 (x-4). Let's make f(x) = y, so the function is y = 3/5 (x - 4).

Now, switch the x and y variables. x = 3/5 (y - 4).

Now, just solve for y!

x = 3/5 y - 12/5

5x = 3y - 12

5x + 12 = 3y

3y = 5x + 12

y = 5/3 x + 4

hope this helps! <3