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BabaBlast [244]
2 years ago
12

If 5 miles is 8 kilometers, which of the following is correct? A. 47.5 miles is 76 kilometers B. 52.5 miles is 86 kilometers C.

22.5 miles is 34 kilometers D. 12.5 miles is 22 kilometers
Mathematics
1 answer:
RUDIKE [14]2 years ago
4 0

Answer:

A.47.5 miles is 76

Step-by-step explanation:

in real life its like 76.44, but im rounding

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A line passes through the point (2 comma negative 2 comma 10 )​, and is parallel to the vector 9 Bold i plus 7 Bold j plus 10 Bo
lyudmila [28]

Title:

<h2>The standard parametric equation for the line is \frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}.</h2>

Step-by-step explanation:

The standard parametric equation for a line generally represented as \frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.

It is given that the line passes through the point (2, -2, 10).

Hence, here (a, b, c) ≡ (2, -2, 10).

Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).

Putting all the values in the equation of the line, the equation becomes

\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}.

3 0
3 years ago
Three more than the quotient of a number and 7 is at most 92. Find the number
Gelneren [198K]

Answer:

The number is 623.

Step-by-step explanation:

\frac{x}{7}+3 =92\\\frac{x}{7} =89\\x=623

4 0
3 years ago
Michael has 2 hats, 3 shirts, and 8 pants. How many different ways can he wear the outfits if he wears one of each?
Rzqust [24]

Answer:

2

Step-by-step explanation:

5 0
2 years ago
How many solutions does the equation −6a + 6a + 5 = 8 have? One Two No solution Infinite solutions
umka21 [38]
<span>−6a + 6a + 5 = 8 
5 = 8  False

So, </span><span>No solution.</span>
5 0
2 years ago
The area of ABED is 49 square units. Given AGequals9 units and ACequals10 ​units, what fraction of the area of ACIG is represent
stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

A=b^{2}

where b is the length side of the square

we have

A=49\ units^2

substitute

49=b^{2}

b=7\ units

therefore

AB=BE=ED=AD=7\ units

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

A=(AC)(AG)

substitute the given values

A=(9)(10)=90\ units^2

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

A=(DE)(DG)

we have

DE=7\ units

DG=AG-AD=9-7=2\ units

substitute

A=(7)(2)=14\ units^2

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

A=(EF)(CF)

we have

EF=AC-AB=10-7=3\ units

CF=BE=7\ units

substitute

A=(3)(7)=21\ units^2

step 5

sum the shaded areas

14+21=35\ units^2

step 6

Divide the area of  of the shaded region by the area of ACIG

\frac{35}{90}

Simplify

Divide by 5 both numerator and denominator

\frac{7}{18}

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0
2 years ago
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