Answer:
Jeff went over by 53.33 grams or grams.
Step-by-step explanation:
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.
Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.
He added of a cup of vanilla powder to the flour.
So, he added a mass of grams of vanilla.
As the recipe says, it needs 32 grams of vanilla so Jeff went over by grams.
Jeff went over by 53.33 grams or grams.
The number of white and grey blocks in the quilts follows a sequence given by the Design number of the quilt
The numbers and patterns of the blocks are;
a. Patterns;
b. The function is
c. The function is
d.
e. The design chosen is <u>Design 9</u>
The number of blocks is <u>132 blocks</u>
Reasons:
The pattern of the design are;
a. The column height of the grey blocks = 2 blocks more than the column height of the white blocks
Width of the outer grey blocks = 2 blocks more than the width of the inner white blocks
The number of white blocks in a design, <em>n</em> is the product of <em>n</em> and (n + 1)
The number of grey blocks in a design <em>n</em>, is the product of (n + 2) and (n + 3) less the number of white blocks in the design
b. Based on the above, the function that represent the number of picture blocks in Design <em>n</em>, is therefore;
c. Based on the above, the function that represent the number of border blocks in Design <em>n</em>, is therefore;
d. The total number of blocks, t(n) = (n + 2)·(n + 3)
t(n) = (n + 2)·(n + 3) - n·(n + 1) + n·(n + 1)
e. The given number of picture blocks = 90
The number of picture blocks in a design, n = n × (n + 1)
Therefore, given that the number of picture blocks is 90, we have;
90 = n × (n + 1)
n² + n - 90 = 0
(n + 10)·(n - 9) = 0
n = 9, or n = -10
Therefore, the design museum chooses is <u>Design 9</u>
The total number of blocks in a quilt design, t(n) = (n + 2)·(n + 3)
Total blocks in the design the art museum choses, t(9), is given as follows;
t(9) = (9 + 2)·(9 + 3) = <u>132 blocks</u>
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Learn more about series here;
the question in English
Juan has blue cubes with a 55 mm edge and red cubes with a 45 mm edge. He stacks them in two columns, one of each color; he wants the two columns to be the same height. How many cubes does he need, as a minimum, of each color?
Let
x---------> the number of blue cubes
y--------> the number of red cubes
we know that
Juan wants that the two columns to be the same height
so
solve for y
I proceed to calculate a table, assuming values of x to calculate the value of y. When the values of x and y are whole numbers, I will have found the solution.
the table in the attached figure
therefore
<u>the answer is</u>
9 blue cubes
11 red cubes
