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LenaWriter [7]
3 years ago
7

A number x more than −13 as an expression

Mathematics
1 answer:
serg [7]3 years ago
4 0

Answer:

x > -13

General Formulas and Concepts:

<u>Algebra I</u>

  • Writing expressions

Step-by-step explanation:

<u>Step 1: Translate</u>

"a number x" = s

"more than" is >

"-13" = -13

<u>Step 2: Combine</u>

x > -13

And we have our final answer!

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Length of a car customary unit
mariarad [96]
The length of a car is 4.5 meters. 

The customary units - 12 inches = 1 foot

4.5 meters is about 177.165.

So, the length of a car in customary units would be 14.76375 units.....
4 0
3 years ago
Read 2 more answers
Annie and her family are on their way to visit some family friends who live 820 miles away from them. Based on the route they ch
Stella [2.4K]

Answer:

4 hours

Step-by-step explanation:

The distances and average speeds for the first two days driven are show below.

Step 1

We calculate the total distance covered in the first two days

First day: 6 hours at an average speed of 60 miles per hour

Hence:

1 hour = 60 miles

6 hours = x

x = 60 × 6

x = 360 miles

Second day: 4 hours at an average speed of 65 miles per hour

Hence:

1 hour = 65 miles

4 hours = x

x = 65 × 4

x = 260 miles

The distance covered for the first two days =

(360 + 260)miles

= 620 miles

Step 2

The total distance for the entire trip = 820 miles

Hence, the distance left to cover on the third day = (820 - 620)miles

= 200 miles

In the question, we are told:

If the average speed on the third day is 50 miles per hour,

The number of hours it will take for them to reach their family friends home is calculated using the formula

Time = Distance/Speed

Time = 200 miles/50 miles per hour

Time = 4 hours

3 0
3 years ago
Solve Similar Triangles (advanced)<br><br> Solve for X.
olganol [36]

Given:

m\angle B=90^\circ, m\angle D=90^\circ, AB=6, BD=4, BC=2, DE=x.

To find:

The value of x.

Solution:

In triangles ABC and ADE,

\angle B\cong \angle D              (Right angles)

\angle A\cong \angle A              (Common angles)

\Delta ABC\sim \Delta ADE              (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional. So,

\dfrac{AB}{AD}=\dfrac{BC}{DE}

\dfrac{6}{(6+4)}=\dfrac{2}{x}

\dfrac{6}{10}=\dfrac{2}{x}

\dfrac{3}{5}=\dfrac{2}{x}

On cross multiplication, we get

3\times x=5\times 2

3x=10

x=\dfrac{10}{3}

Therefore, the value of x is \dfrac{10}{3} units.

7 0
3 years ago
Evaluate 4.7j-6.8k when j=5 and k=3
creativ13 [48]

Answer:

3.1

Step-by-step explanation:

After substitution of the givens, the expression 4.7j-6.8k takes on the value

4.7(5) - 6.8(3) = 23.5 - 20.4 = 3.1

3 0
3 years ago
PROJECT MATH - ANGLE OF ELEVATION AND DEPRESSION
Sergio039 [100]

Answer:

<u>Story</u>

Jane is 1.7 m tall.  She stands 250 m away from the base of the Eiffel tower and looks up at the top of the building.  The angle of elevation from her eyeline to the top of the building is 45°.

<u>Question</u>

Calculate an estimate of the height of the building. Give your answer to the nearest meter.

<u>Calculation</u>

Label the sides of the triangle O, A and H (where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse).

In the triangle, the angle and side A is known, and O must be calculated.

Therefore, use the trig ratio tan(x) = O/A:

⇒ tan(40) = O/250

⇒ 250tan(40) = O

⇒ O = 209.7749078...

Assume Jane's eye-level is approximately 1.5 m above the ground.

Therefore, the Eiffel tower is approximately:

209.7749078... + 1.5 = 211.2749078.. meters tall

Rounding to the nearest meter ⇒ 211 m

6 0
3 years ago
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