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maks197457 [2]
3 years ago
14

What is 3 2/5 minus 1 9/10

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0
3\frac{2}{5}=3\frac{2\cdot2}{5\cdot2}=3\frac{4}{10}=3.4\\\\1\frac{9}{10}=1.9\\\\3\frac{2}{5}-1\frac{9}{10}=3.4-1.9=\boxed{1.5}
ivanzaharov [21]3 years ago
3 0
The answer is 1 1/2 or 1 5/10

Here is my work if you don't understand, ASK!!

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35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$, and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation $y-8=-\frac{1}{3} x-\frac{2}{3}$, and simplify as follows, $y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$

$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$

This is the required linear equation.

6 0
2 years ago
Sam Houston's Arms
OLga [1]

Answer:

The length of the statue's arm is<u> 26.22 ft.</u>

Step-by-step explanation:

Let the length of the statue's arm be 'x'.

Given:

Height of statue is, H=67\ ft

Height of male is, h=5\ ft\ 9\ in=5\ ft+\frac{9}{12}\ ft=5+0.75=5.75\ ft

Length of the male's arm is, l=27\ in=\frac{27}{12}=2.25\ ft

Now, as the size of Sam Houston's statue is proportional to that of an adult male, therefore, their heights and arm lengths will also be in proportion. So,

\frac{H}{h}=\frac{x}{l}\\x=\frac{H}{h}\times l

Now, plug in the given values and solve for 'x'.

x=\frac{67}{5.75}\times 2.25\\x=26.22\ ft

Therefore, the length of the statue's arm is 26.22 ft

7 0
3 years ago
from a board 4 feet 2 inches long, a board 3 feet 7 inches long is cut what is the lengh of the remaining board?
MrRissso [65]
Math:

Well, you know that 12 inches goes into 1 foot.

So, let's start with just making everything into inches.

4 feet * 12 = 48+2 = 50 inches.

3*12 = 36 inches + 7 = 43 inches.
50 - 43 = 7.

Your answer:
7 inches.
7 0
3 years ago
Find an equation of a line with slope -3/4 and that passes through P(-4,6) in standard, form.
SashulF [63]

Answer:

y = -   \frac{3}{4}x  + 3

Step-by-step explanation:

the standard form of any straight line is:

y = m × x + c

where: y is the y value of the point

x is the x value of the point

m is the gradient/slope

SOLUTION

y = mx + c \\ 6 =  -  \frac{3}{4} ( - 4) + c \\ c = 3

3 0
2 years ago
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. Which expression represents the
Bezzdna [24]
Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.

The volume of a cone is:

V = \dfrac{1}{3} \pi r^2 h

Total volume:

V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19

Volume of upper cone:

V_u = \dfrac{1}{3} \times \pi \times 3.5^2 \times 8

Volume of frustum:

V_f = \dfrac{1}{3}\pi(7.5^2)(19) - \dfrac{1}{3}\pi(3.5^2)(8)



3 0
4 years ago
Read 2 more answers
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