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3 years ago

7

21 first-graders and 54 other students attended a school assembly. What percentage of the students at the assembly were first-gr

aders?'

1 answer:

Degger [83]3 years ago

5 0

21+ 54= 76

21/76= 27.6%

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Find the equation of the graphed line.

topjm [15]

I think that the answer is definitely B

5 0

2 years ago

A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side

kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

$\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}$

b) The shortest side measures 76 mi less than the middle side( in other words, you have to subtract 76 from middle side to get the shortest side)

$x=y-76\Rightarrow equation(2)$

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

$z=y+379\Rightarrow equation(3)$

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\ \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}$

now, replace the y value in equatino (2) to find x

b)

$\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}$

c) finally, prelace x and y value in equation (1) to find z

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}$

so

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0

10 months ago

3# Find the missing variable (s). Round to the nearest tenth.

rewona [7]

Answer:

Step-by-step explanation:

This triangle is already positioned to match trig functions (also known as circular functions).

Point A is origin, side AC (length x) is on X axis,

side CB (length y) is parallel to Y axis.

***** You just remember *****

cos is horizontal, on X axis,

sin is vertical, on Y axis.

To get from unit triangle with hypotenuse 1,

horizontal side cos(θ), vertical side sin(θ), you multiply all sides by same number, namely, the specified length of the hypotenuse.

***** that's all you need to know *****

Draw a unit circle centered at A, mark point Y at intersection of circle and AB, and drop a vertical line from Y crossing X axis at X.

Then radial segment AY is 1, AB is 10

horizontal segment AX is cos(32°), AC is 10AX

vertical segment XY is sin(32°), CB is 10XY.

So x = 10 cos(32°), y= 10 sin(32°).

7 0

2 years ago

A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv

kati45 [8]

Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars

7 0

2 years ago

Need a math genius for help

asambeis [7]

Answer:

5

Step-by-step explanation:

The answers equivilant to 3 are 1,5,7

Pick the angle is closer to the middle (interior). 5

7 0

2 years ago