Ruben digs a hole at the beach that is 4.8 feet deep. Brian uses the sand Ruben digs up to build a sand castle that is 2.5 feet tall.
Which statement correctly compares the depth of Ruben’s hole and height of Brian’s castle?
A. |–4.8| > |2.5|
B. |–4.8| < |2.5|
C. –4.8 > 2.5
D. |–4.8| < 2.5

Here, we need to apply basic mathematical operations and solve the given linear equation. We get the value of a = -4.

Linear equations are expressions that involve variables and constants raised to the power of 1 (i.e., the exponent is 1) and are represented as a straight line when graphed on a coordinate 2D axis. A linear equation can be written in the form ax+ b = c where x is a variable and a,b, and c are constants .

Linear equations can have one variable (univariate) or multiple variables (multivariate). Also, these variables should not be squared, cubed, or raised to the power of any constant other than 1. For example,

1. 2x+5=0 (univariate)

2. 4z+2w=5x(multivariate)

The question given to us is an univariate linear equation where to have to apply basic rules of mathematics. Firstly we need to divide 56 by 14 which gives us 4. The negative sign gives our answer as -4.

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Answer:

-3/4

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation:

18/3=6

She had finished two thirds of the drive so,

6*2=12

Answer: shes travelled 12miles already

Step-by-step explanation:

Answer:

(0,0) and (4,-1)

Step-by-step explanation:

A line is uniquely defined by two points.

[tex]x=0 \implies y=0 \\ \\ x=4 \implies y=-1[/tex]

So, draw the line through (0,0) and (4,-1).

Answer:

Slope = (-1/3)

Step-by-step explanation:

Point 1: (-6, 6); Point 2: (6, 2)

            (x₁, y₁)                (x₂, y₂)          

        y₂ - y₁         2 - 6          -4            -4 ÷ 4         -1

m = ------------ = ----------- = ---------- = -------------- = -------

        x₂ - x₁        6 - (-6)      6 + 6        12 ÷ 4           3

y - y₁ = m(x - x₁)

y - 6 = (-1/3)(x + 6)

y - 6 = (-1/3)x - 2

   +6              +6

-------------------------

y = (-1/3)x + 4

I hope this helps!

Answer:

Step-by-step explanation:thank you

Answer:

Slope = (3/5)

Step-by-step explanation:

Point 1: (5, 3); Point 2: (10, 6)

            (x₁, y₁)               (x₂, y₂)

       y₂ - y₁        6 - 3           3

m = ----------- = ----------- = ---------

       x₂ - x₁        10 - 5          5

y - y₁ = m(x - x₁)

y - 3 = (3/5)(x - 5)

y - 3 = (3/5)x - 3

  +3               +3

-----------------------------

y = (3/5)x

I hope this helps!

Answer:

2.25+2j=6.75

That is the answer I got

Answer:

A

Step-by-step explanation:

First, you need to make the divisor a whole number, and then you make the dividend a whole number.

1.) 0.0056 divided by 0.004 = (0.0056 x 1000) x (0.004 x 1000)

You should make it a whole number by multiplying it by a power of ten.

2.) *5.6 divided by 4

Then divide.

3.) Answer : 0.0056 divided by 0.004 = 1.4

Answer: the answer is 14

Step-by-step explanation:0.056/- 0.004 as a percent value (as a percentage)

Detailed calculations below

Fractions: brief introduction

A fraction consists of two numbers and the fraction bar:

0.056/- 0.004

The number above the fraction bar is the numerator: 0.056

The number under the fraction bar is the denominator: - 0.004

To get the fraction's value, divide the numerator by the denominator:

The value = 0.056 ÷ - 0.004

Percent, p%: short introduction

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100.

How to convert a fraction to a percentage:

1) Calculate the value of the fraction.

2) Multiply this number by 100.

3) Add the percent sign %

Convert the fraction to a percentage

1. Calculate the value of the fraction.

To get the fraction's value, divide the numerator by the denominator:

0.056/- 0.004 =

0.056 ÷ - 0.004 =

- 14

A quick note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100

... and its value doesn't change.

n × 100/100 = n × 1 = n, any number n

2. The calculation of the percentage:

- 14 =

- 14 × 100/100 =

(- 14 × 100)/100 =

- 1,400/100 =

- 1,400%                    have a nice day  hope i could help.

Answer:

372

Just multiply 60 by 6 then add 12

:)

Step-by-step explanation:

Answer:

27.2

Step-by-step explanation:

9cm = 16ft

It's asking about length (L) so the room is 15.3cm long. We can ignore the width, 5 cm.

Set up a ratio. [tex]\frac{9cm}{16ft} =\frac{15.3cm}{L}[/tex]

Cross-multiply. 9*L = 15.3*16

Solve for L. L = (15.3*16)/9 = 27.2ft

Answer:

not sovable

Step-by-step explanation:

the larger shape is missing Y is has the Z but no Y cant find YZ if there aint y. sorry the is email worthy

Answer:

1. x=6

2. x=24

3. x=60

4. x=6

Step-by-step explanation:

1. divided by 2

2. multiplied by 2

3. multiplied by 5

4. divided by 1.5

Answer:B

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

rise over run

goes down 3

so negative 3

and over 4

so -3/4

hope this helps you!!

Answer:

m = 8

Step-by-step explanation:

Check the attached file to see the step-by-step explanation!

Answer:

YZ=14

Step-by-step explanation:

ABCD ~ WXYZ (similar)

So all the sides are going to be in a ratio.

AD=12   AD~WZ

WZ=56 WZ~AD

[tex]\frac{AD}{WZ}=\frac{12}{56} =\frac{3}{14}[/tex]

The ratio between any side on ABCD to WXYZ is 3/14

DC=3    DC~YZ

[tex]\frac{DC}{YZ} =\frac{3}{14}[/tex]

[tex]\frac{3}{YZ} =\frac{3}{14}[/tex]

Solve for YZ

YZ=14

Answer:

I believe it's answer A?

Answer:

The change in altitude per minute is 63.5 alt/ min

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

In 24 minutes = 1524 feet

So, the average Change in altitude per minute

=1524/24

= 63.5 alt/ min

hence, change in altitude per minute is 63.5 alt/ min.

Answer:

3. The first one.

4. The last one.

Step-by-step explanation:

For 3, first I looked to see what direction the greater than symbol was facing. Since it is pointing right, I know the arrow has to go right on the number line. Then, since it's only a greater than symbol, the dot is empty.

For 4, I used the same method as stated above. Greater than symbol means arrow goes to the right. However, since this symbol has a line underneath it, it is a greater than OR equal to symbol. This means the dot will be solid instead of empty.

;-;

simplify the expression.

−

m

+

4

5

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Answer:

4 cm = 40mm

12 cm = 120mm

50 cm = 500mm

88,49 cm = 884,9

Answer:

85 girls

Step-by-step explanation:

A proportion of 3:5 means that there are 5 girls at the camp for every 3 boys.

You can find the number of girls by taking the amount of boys and multiplying by the proportion.

51 * 5:3

51 * 5/3

85 girls

Answer:

-9

Step-by-step explanation:

5(-9-4)

5(-13)

-65

4(-9+15)

4(6)

24

-65<24 so -9 is false because -65 is not smaller than 24

The solution is Option A.

The value of n which makes the inequality 5 ( n − 4 ) < 4 ( n + 15 ) false is when n = 80

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is given by

5 ( n − 4 ) < 4 ( n + 15 )

Now , on substituting the value of n as 80 in the inequality equation , we get

5 ( n − 4 ) < 4 ( n + 15 )

when n = 80

5 ( 80 - 4 ) < 4 ( 80 + 15 )

5 ( 76 ) < 4 ( 95 )

380 = 380

So , the inequality will become false as the two sides of the equation will result in value 380 when n = 80

Hence ,

The value of n = 80 in the inequality equation 5 ( n − 4 ) < 4 ( n + 15 ) will make it false

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Answer:

On blueprint , length of room  is given by  feet and width is given by 10 feet.

Step-by-step explanation:

Given:  On a blueprint, the scale indicates that 6 cm represent 15 feet.

We have to find the value of  the length of a room that is 9 cm long and 4 cm wide on the blueprint.

Since, the scale indicates that 6 cm represent 15 feet

That is 6 cm = 15 feet

1cm =  feet

Thus, the scaling factor for 1 cm is  feet.

Thus, for length of a room  is 9 cm long.

On blueprint , length is given by  feet.

Also, given width of room is 4 cm

On blueprint , width is given by  feet.

Step-by-step explanation:

Answer: so it would be the length is 27.2 feet  and it is 8.88888889 feet wide or 8.9 ft wide and 27.2 feet long when its rounded i do hope i helped you and im so sorry if i didn't 27.2 goes in the box

Step-by-step explanation: d