Answer:
Pierre has enough boards and nails to make 9 tables and 5 chairs.
Step-by-step explanation:
13T+8C ≤ 220
Let us substitute 9 for T and 5 for C and check.
13(9) + 8(5) = 117 + 40
= 157 < 220
So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.
48T+37C ≤ 760
Substitute 9 for T and 5 for C.
48(9)+37(5) = 432 + 185
= 617 < 760
So, 760 nails are sufficient to make 9 tables and 5 chairs.
Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.
Answer:
a.
Step-by-step explanation:
She will need 210g amount of fruit.
We are given that Emily needs 60g of fruit and 100 ml of juice to make a small smoothie.
Since she follows the same recipe to make a large smoothie and large smoothie uses 350 ml of juice.
Therefore,
100ml x 3 = 300ml
100 : 2 = 50
300 + 50 = 350
Similalry;
60 x 3 = 180g
60 : 2 = 30
180 + 30 = 210g
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The length of fence around the garden is the perimeter of the garden
She does not have enough to go all the way around the garden
The dimension of the fence is given as:
by
So, the perimeter of the fence is:
Add the fractions
Expand
The perimeter of the fence is greater than 22 yards.
Hence, she does not have enough to go all the way around the garden
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After applying the concept of percentage, the number 40 is approximately 17% of 235.29.
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.
Here we have to find the number which 17% is 40.
Assume the number we're looking for is 'x'.
Since 17 percent can also be written in decimal form as 0.17
Set up the equation:
0.17 x = 40
To isolate 'x', Divide both sides of the equation by 0.17:
x = 40 / 0.17
Simplifying the right side of the equation, we have:
x ≈ 235.29.
Hence,
40 is approximately 17 percent of 235.29.
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Answer:
7
Step-by-step explanation:
Answer:
Part a) The inequality is
The graph in the attached figure
Part b) 16 refrigerators and 7 pianos will not recharge the truck.
Step-by-step explanation:
Part a) Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry
Let
x -----> the number of refrigerators in the truck
y -----> the number of pianos in the truck
we know that
The number of refrigerators in the truck multiplied by 200 lb plus the number of pianos in the truck multiplied by 525 lb must be less than or equal to 6,900 lb
so
The inequality that represent this situation is
using a graphing tool
The solution is the shaded area
Remember that the number of refrigerators or the number of pianos in the truck cannot be a negative number or a decimal number. The solution must be a whole numbers.
Part b) Will 16 refrigerators and 7 pianos overload the truck?
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality
we have the ordered pair
(16,7)
Substitute x=16,y=7 in the inequality
-----> is true
The ordered pair satisfy the inequality
so
The ordered pair is a solution of the inequality
therefore
16 refrigerators and 7 pianos will not recharge the truck.