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tino4ka555 [31]
3 years ago
13

A highway passes under a road. The clearance height is 7.75 feet write and graph an inequality that represents the height of a v

ehicle that can travel on the highway. I need help ASAP
Mathematics
1 answer:
san4es73 [151]3 years ago
8 0
0 is less than or equal X is less than 7.75
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6x - 4 = 16
Juli2301 [7.4K]

Hello!

Answer:

x=10/3

Step-by-step explanation:

First you want start by adding 4 to both sides

6x-4+4=16+4

6x=20

Then divide 6 to both sides,

6x/6=20/6

x= 10/3

Hope this helps! :)

4 0
2 years ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
1 year ago
Solve -5/3x + 7/3 = -5
Pavlova-9 [17]

Answer:

x = 24/15 = 8/3 = 2 2/3

Step-by-step explanation:

remember what you do to the left you must do to the right.

I converted the -5 to -15/3 so I could easily add or subtract

-5/3 x = -8/3

multiply both sides by -3/5 to cancel the coefficient of the x

x = -8/3 * -3/5 = 24/15

3 0
3 years ago
Determine the greatest common factor between<br> 42x3 and 28x5
storchak [24]

Answer:

42*3=126

28*5=140

the GCD of 126=2*3*3*7

the GCD of 140=2*2*5*7

2*7

GCD=14

Step-by-step explanation:

6 0
3 years ago
A group walked 3/8 mile in 1/5 hour. Which is the groups walking speed in miles per hour
gogolik [260]

Answer:

The groups walking speed is 1\frac{7}{8}\frac{miles}{hour}  or 1.875\frac{miles}{hour}

Step-by-step explanation:

we know that

To find the speed divide the distance by the time

so

\frac{(3/8)}{(1/5)}=\frac{15}{8}\frac{miles}{hour}

Convert to mixed number

\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\frac{miles}{hour}

6 0
3 years ago
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