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3 years ago

What is 10.5 as a mixed number

2 answers:

5 0

convert the decimal number to a fraction by placing the decimal over a power of ten. since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). next, add the whole number next to the decimal.

10 5/10

reduce the fraction part of the mixed number

10 1/2

convert the mixed number 10 1/2 into a improper fraction first by multiplying the denominator(2). by the whole number part (10) and add the numerator(1) to get the new numerator. place the new numerator(21) over the old denominator(2).

21/2

I hope that helped

NeTakaya3 years ago

4 0

10 1/2

10.5 = 10 5/10

but 5/10 can be simplified to 1/2

the answer is 10 1/2

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Yuri [45]

Answer:

in order to make the full 180°, the measure of angle 3 will be subtracted from 180. The answer will be......132. Hope I helped! Plz mark brainliest!

Step-by-step explanation:

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3 years ago

Let f(x) = x^2 + 6x.

rusak2 [61]

Answer:

(A) The slope of secant line is 18.

(B) The slope of secant line is h+16.

Step-by-step explanation:

(A)

The given function is

$f(x)=x^2+6x$

At x=3,

$f(3)=(3)^2+6(3)=27$

At x=9,

$f(9)=(9)^2+6(9)=135$

The secant line joining (3,27) and (9,135). So, the slope of secant line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{135-27}{9-3}=18$

The slope of secant line is 18.

(B)

The given function is

$f(x)=x^2+6x$

At x=5,

$f(5)=(5)^2+6(5)=55$

At x=5+h,

$f(5+h)=(5+h)^2+6(5+h)=h^2 + 16 h + 55$

The secant line joining (5,55) and $(5+h,h^2 + 16 h + 55)$ . So, the slope of secant line is

$m=\dfrac{h^2 + 16 h + 55-55}{5+h-5}$

$m=\dfrac{h^2 + 16 h }{h}$

$m=h+16$

The slope of secant line is h+16.

4 0

3 years ago

A square pyramid has a volume of 20 cubic feet and a base length of 5 feet. What is it's height?

erastova [34]

Answer:

The height of the pyramid is $2.4\ ft$

Step-by-step explanation:

we know that

The volume of a square pyramid is equal to

$V=\frac{1}{3}b^{2}h$

we have

$V=20\ ft^{3}$

$b=5\ ft$

substitute and solve for h

$20=\frac{1}{3}(5)^{2}h$

$60=(25)h$

$h=60/(25)=2.4\ ft$

5 0

3 years ago

Direction: Solve the given problems.

MAXImum [283]

<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

$=\tt 2 : 3 \: = \: x : 6$

$= \tt \frac{2}{3} = \frac{x}{6}$

$=\tt 2 \times 6 = 3 \times x$

$=\tt 12 = 3x$

$=\tt x = \frac{12}{3}$

$\hookrightarrow\color{plum}\tt \: x = 4$

▪︎<u>Therefore, the smaller number = 4</u>

<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = $\tt \frac{36}{6}$

Let the number be x.

Which means :

$= \tt \frac{36}{6} = \frac{x}{3}$

$=\tt \frac{36 \div 2}{6 \div 2} = \frac{x}{3}$

$=\tt \frac{36}{6} = \frac{18}{3}$

▪︎Therefore, the fractional number $\tt \frac{18}{3}$ is equal to $\tt \frac{36}{6}$ .

<h2>○=> <u>Solution (8)</u> :</h2>

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

$=\tt \frac{24}{6} = \frac{x}{8}$

$=\tt 24 \times 8 = 6 \times x$

$=\tt 192 = 6x$

$=\tt x = \frac{192}{6}$

$\hookrightarrow \color{plum}\tt x = 32$

▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

$= \tt \frac{7}{2} = \frac{21}{x}$

$=\tt7 \times x = 2 \times 21$

$=\tt 7x = 42$

$=\tt x = \frac{42}{7}$

$\hookrightarrow \color{plum}\tt \: x = 6$

▪︎Therefore, 6 adults were there in the plaza.

<h2>○=> <u>Solution (10)</u> :</h2>

Cost of 12 pencils = P60

Cost of 1 pencil :

$= \tt \frac{60}{12}$

$=\tt P5$

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

$=\tt 5 \times 25$

$\color{plum}=\tt \: P \: 125$

▪︎Therefore, the cost of 25 pencils = P125

7 0

3 years ago

Find the value of x

shtirl [24]

Answer:

x = 6

Step-by-step explanation:

Verticle angles are formed when two lines intersect. The angles opposite each other are congruent, those angles are called vertical angles.

Using this knowledge, one can say;

3x + 2= 20

Use inverse oeprations to solve for "x"

3x + 2 = 20

-2 -2

3x = 18

/3 /3

x = 6

5 0

3 years ago