Answer:
We set up 2 equations
A) C + A = 100
B) 5C + 12A = 780
We multiply A by -5
A) -5C -5A = -500 then we add B
B) 5C + 12A = 780
7A = 280
Number of Adults = 40
5C = 780 - 40*12
5C = 780 -480
5C = 300
Number of Children = 60
Step-by-step explanation:
Its representedf by 2 polygons(triangles)
first one :
24-20=4
11-6=5
second:
24-14=10
11-7=4
B. frind area of 2 small trianges
a=(base x height )/2
first=4x5/2=10ft square
second=10x 4/2=20ft square
add them=10+20=30
rectangle24x 11=264
264-30=234
The measure of m∠J=90°, m∠G=55° and m∠H=35°
Step-by-step explanation:
Inscribed angles subtended by a diameter are right angles. Hence angle GJH =90°
The diameter GH and chord GJ intercepts an arc with a measure of 70°.The measure of an arc of a circle is equal to the measure of the central angle that intercepts the arc. Hence angle GOJ=70°. Radius of circle GO=OJ, which means triangle GOJ is an isosceles triangle thus ∠OJG=∠OGJ =(180° -70°) /2 = 55°. m∠G=55°
m∠H = (180°-(90°+55°) ) = 180° - 145° =35°
Learn More
Angles subtended by a diameter :brainly.com/question/10345730
Keywords : measures, angles, diameter, chord, intercepts, arc
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Answer:
7 x = -35
Step-by-step explanation:
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35
In this problem we need to add the equations below i.e.
11x-3y = -17 and -4x+3y=-18
Adding both equations,
11x-3y+(-4x)+3y = -17+(-18)
7x= -35
or
7 x = negative 35
Hence, the correct option is (c).
Answer:
16 people
Step-by-step explanation:
First subtract the cost of the rental from the amount of money:
$400-$150 = $250
Therefore Tia has $250 to spend for additional people. Then if each person is $15, divide the remaining amount of money by the amount of money per person:
$250/$15 = 16.67
Since you can't have 0.67 of a person she can have 16 people go with her.
This can also be modeled by this inequality:
