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3 years ago

What's 21% of 1,300 A 2,601 B 1,027 C 62 D 273

1 answer:

8 0

$\displaystyle 21\% \cdot 1300 \\ \\ \\ \frac{21}{100}\cdot130 = \\\\ \\ \frac{21}{1}\cdot 13= \\ \\\\ 21\cdot13= \\ \\ \\ 273 \\ \\ \\ \text{The answer is D.273}$

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Q.2

Katen [24]

Answer:

Q2. (16,8)

Q3. $k=\frac{2}{3}$ , ratio=5:1

Q4. Ratio=2:1

Q5. Ratio=1:1

Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant from Q (2,-5) and R (-3, 6), we have

$|PQ|=|PR|$

This gives us:

$\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}$

$\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2$

Expand:

$4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36$

$2a=16$

$a=8$

The coordinates of P are $(16,8)$

Q.3 The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is $x+3y=-13$ .

The x-coordinate of the point that divides AB in the ratio m:n is

$x=\frac{mx_2+nx_1}{m+n}$

The y-axis meets this line at $(0,-\frac{13}{3})$

We substitute $x_2=-1,x_1=5,x=0$ into this equation and solve for m and n.

$0=\frac{-m+5n}{m+n}$

$m=5n$

$\frac{m}{n}=\frac{5}{1}$

Therefore the ratio is m:n=5:1

Q.4 The equation of the line segment joining

the points (-5,-4) and (-2,3) is $-7x+3y=23$ .

The point (-3, k) must satisfy this line because it lies on it.

$-7(-3)+3k=23$ .

$\implies k=\frac{2}{3}$

We again use the equation $x=\frac{mx_2+nx_1}{m+n}$ to find the given ratio.

Substitute: $x_2=-2,x_1=-5$

$4=\frac{-2m+-5n}{m+n}$

$\implies m=2n$

$\frac{m}{n}= \frac{2}{1}$

The ratio is m:n=2:1

Q. 5 The equation of the line joining A (2,3) and B(6,-3) is $3x+2y=12$ .

We substitute (4,m) to get:

12+4m=12

4m=0

m=0

It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).

Hence the ratio is 1:1

5 0

3 years ago

At a concert 2/5 of the people were men, there were 3 times as many women as children. If there were 45 more men than children,

Bogdan [553]

This involves creating some equations.

First, these are what the letters I used stand for:

c = children

w = women

m = men

x = total population

Then, we must make an equation for each statement.

2/5x = m (2/5 of the people are men)

3c = w (there are 3 times as many women than children)

45+c = m (there are 45 more men than children)

Now, let's start plugging in our numbers:

x = all the men, women, and children

2/5(m+w+c) = m

2/5 (45+c +3c + c) = m [Now simplify]

2/5 (45 + 5x) = m [Now Distribute]

2/5(45) + (2/5)(5x) = m

2c + 18 = m [Above we stated that there were the same amount as men as c +45]

2c + 18 = 45 +c [Now set equal to c]

2c (-c) +18 = 45 +c (-c)

c+18 (-18) = 45 (-18)

c = 27

Now that we know that there was 27 children, we can plug 27 in for c in the other equations.

MEN = 27 + 45

WOMEN = 3(27)

CHILDREN = 27

Now add those three answers to find your total!

8 0

3 years ago

The accepted value of the average distance between Earth and the moon is 384, 467 km. If a scientist measures that the moon is 3

Karo-lina-s [1.5K]

Answer:

Percentage error is 0.0024 %

Step-by-step explanation:

Initial average distance between Earth and moon = 384467 km

Distance measure by the scientist = 384476 km

Total variation in the distance calculation = 384476 – 384467 = 9 km.

Now we can find the percentage by dividing the variation in distance from the initial measurement and then multiply with hundred.

Percentage error = ( 9 / 384467 ) × 100 = 0.0024 %

4 0

3 years ago

Consider f(x) = 4x^3 – 5, g(x) = 2x + 5 and h(x) =2x^2+2x. Which statement about (f + g – h) is true?

Natalka [10]

$\large{\mathcal{ANSWER:}}$

b) It is a cubic function of 4 terms.

In this case p(3) = t + 2 is synonymous for p = 3 + 2. Remember p is synonymous for y. So in this equation it is p = 5.

Hope this helps!

3 0

3 years ago

Luis deposited $500 into his savings account with a simple interest rate of 3%. He wants to keep his deposit in the bank until h

Liono4ka [1.6K]

Answer:

Blac cack

Step-by-step explanation:

4 0

3 years ago