Answer:
4
Step-by-step explanation:
6x + 5x+2 + 134 = 180 All triangles have 3 angles = 180. Combine
11x + 136 = 180 Subtract 136
11x = 180 - 136
11x = 44 Divide by 11
x = 44/11
x = 4
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Angles are
5x + 2 = 22
6x = 24
<3 = 134
Total = 180
What we know:
Mrs Lemke has a total of 10 2/3 oz of fertilizer
3/4 oz fertilizer per plant
What we need to find is left over fertilizer after equally distributing as much 3/4 oz of fertilizer per plant.
10 2/3 oz must be divided into groups of 3/4 oz
Those groups will show how many plants can be fertilized with each receiving 3/4 oz of fertilizer and the remainder will be the left over fertilizer in ounces we need to find.
First we must change 10 2/3 into an improper fraction of 32/3.
Now, we divide 32/3 by 3/4.
(32/3)/(3/4)=(32/3)x(4/3)
(32x4)/(3x3)=128/9
128/9 equals to 14 with a remainder of 2/9
That means Mrs Lemke can fertilize 14 plants with 3/4 oz of fertilizer each and have left over of 2/9 ounces.
Your answer is the remainder which is 2/9 ounces.
Answer:
Laura and Erica will both have made 16 blankets in one more day.
Step-by-step explanation:
i) Erica has made 10 blankets already.
ii) Erica can make 6 blankets more per day
iii) Laura has completed 6 blankets already
iv) Laura can complete 10 more blankets per day.
v) Let x be the number of days to the point when they will have completed the same number of blankets
vi) Therefore the number of blankets that Erica makes till x days is = to the number of blankets that Laura makes till x days
vi) therefore 10 + 6x = 6 + 10x ⇒ 4x = 4 ⇒ x = 1 day
vii) Therefore Laura and Erica will both have made 16 blankets in one more day.
This is a simultaneous equation!
I’ll write the answer out and send it in a minute x
Answer:
Total Area = 110 m²
Step-by-step explanation:
To find the area of this composite shape, extend the top horizontal line to the right. That divides the figure into a right triangle (above the extended line) and a rectangle (below the extended line).
<h3>Shape 1</h3>
Name: triangle
Formula: A = 1/2bh
Values: b = 15 m -5 m = 10 m; h = 4 m
Area = 1/2(10 m)(4 m) = 20 m²
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<h3>Shape 2</h3>
Name: rectangle
Formula: A = bh
Values: b = 15 m; h = 6 m
Area = (15 m)(6 m) = 90 m²
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Total area = Shape 1 area + Shape 2 area
Total area = (20 m²) +(90 m²) = 110 m²
