Find how many eighths you need to make 3 fourths.

In a school there are 1000 boys and 800 girls. Calculate the percentage of boys and girls

Arisa [49]

Answer:

55.55%= boys & 44.44% = girl

Step-by-step explanation:

1000/(1000+800)=1000/1800=.5555 or 55.55% are boys

800/(1000+800)=800/1800=.4444 or 44.44% are girls.

Therefore, 55,55% are boys and 44.44% are girls.

8 0

2 years ago

35 solve the following syste

blondinia [14]

Part A: The solution is $(-0.923,5.692)$

Part B: The point $(3,7)$ is not in the solution set.

Explanation:

Part A: The given inequalities are $3 x+4 y>20$ and $x$

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

$x=3 y-18$ and $3 x+4 y=20$

Let us substitute $x=3 y-18$ in the equation $3 x+4 y=20$ , we get,

$3 (3y-18)+4 y=20$

$9y-54+4y=20$

$13y=74$

$y=5.692$

Substituting $y=5.692$ in $x=3 y-18$ , we get,

$x=3 (5.692)-18$

$=17.076-18$

$x=-0.923$

Thus, the solution set is $(-0.923,5.692)$

Part B: Now, we shall determine whether the point $(3,7)$ is in the solution set.

Let us substitute the point $(3,7)$ in the inequalities $3 x+4 y>20$ and $x$ , we get,

$3 (3)+4 (7)>20$

$9+28>20$

$37>20$

Also, substituting $(3,7)$ in $x$ , we get,

$3$

Since, the point $(3,7)$ does not satisfy one of the inequality $x$ , the solution set does not contain the point $(3,7)$

Thus, the point $(3,7)$ is not in the solution set.

8 0

2 years ago

For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you

zzz [600]

Answer:

x = 7
y = 97°
z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

(7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

10x +27 = 97 . . . . . . . collect terms

10x = 70 . . . . . . . . subtract 27

x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

z = 19

__

The missing measures are ...

x = 7
y = 97°
z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

(7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0

2 years ago

Which of the following graphs represents the equation x >-3y+9

enot [183]

Hello,
Please, see the attached file.
Thanks.

5 0

3 years ago

A grocer had 14 boxes each containing 24 packets of macaroni. An employee repacked all the packets into packs of six. Calculate

nikklg [1K]

Answer:

56 packs

Step-by-step explanation:

1) (14*24 ) - packets of macaroni altogether.

2) repack into packs of 6.

(14*24)/6 = 56 packs

6 0

3 years ago