<h3>There are 135 bottles in all</h3>
<em><u>Solution:</u></em>
Given that,
A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7
Ratio = 1 : 1 : 7
Let the number of grape fruit juice bottles be 1x
Let the number of mango juice bottles be 1x
Let the number of orange juice bottles be 7x
There are 105 orange juice bottles
Therefore,
7x = 105
Divide both sides by 7
x = 15
Therefore,
number of grape fruit juice bottles = 1x = 15
number of mango juice bottles = 1x = 15
number of orange juice bottles = 7x = 105
Thus,
Total bottles = 15 + 15 + 105 = 135
Thus there are 135 bottles in all
<u><em>Answer:</em></u>x = 7
<u><em>Explanation:</em></u><u>We are given that:</u>
l = 7x - 7
m = 4x + 14
<u>We want to have:</u>
l = m
<u>Therefore, we will simply equate the two equations and solve for x as follows:</u>
7x - 7 = 4x + 14
7x - 7 - 4x = 4x + 14 - 4x
3x - 7 = 14
3x - 7 + 7 = 14 + 7
3x = 21
x =
x = 7
Hope this helps :)
Answer:
area ≈ 344. 93 yard²
Step-by-step explanation:
The question you are asking is a circle with shaded portion and a portion not shaded . The radius of the circle is given as 13 yards . H is the center of the circle and unshaded part of the the sector has an angle of 126°.
The area of a sector = ∅/360 × πr²
The other angle of the shaded portion is unknown . To find the angle we subtract 126° from 360°(complete angle).
360 - 126 = 234°
area of a sector = ∅/360 × πr²
where
∅ = 234°
r = 13 yards
area = 234/360 × π × 13²
area = 234/360 × π × 169
area = 39546π/360
area = 109.85π
area = 109.85 × 3.14
area of the shaded part = 344.929 yard²
nearest hundred will be
area ≈ 344. 93 yard²
Answer:
a. x = 5, m∠FGH = 22°
b. m∠HGI = 22°
c. m∠FGI = 44°
Step-by-step explanation:
Since GH bisects FGI this means it divides the angle in two equal parts.
a. solving for x means equating them:
5x-3 = 6x-8 =>
5x - 6x = 3 - 8 =>
x = 5.
Both m∠FGH and m∠HGI are 5*5-3 = 22°
c. Add both angles: m∠FGH + m∠HGI = 44°
Answer:
x = - 
Step-by-step explanation:
(x - 3) - 5 = 
(x - 1)
Multiply through by 8 to clear the fractions
6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side
6x - 18 - 40 = x - 1
6x - 58 = x - 1 ( subtract x from both sides )
5x - 58 = - 1 ( add 58 to both sides )
5x = - 57 ( divide both sides by 5 )
x = -
