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UkoKoshka [18]
3 years ago
6

a quilt is made up of 400 squares. each section is 16 squares long and 4 squares wide. there are 4 sections that are made of dot

ted red squares. the rest of the quilt is made of blue squares. how many blue squares are in the quilt?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0
First find the amount of red squares. there are 4 sections of red squares and 16 by 4 squares in each section. first find the number in each section by multiplying 16 squares long by 4 squares high 16*4=64 and that's for just one sections to find the total amount of red squares in all 4 sections we need to multiply 64 (the amount in one section) by the total amount of sections 4. resulting in 64*4=256 to find the blue squares used to fill the remainder of the quilt simply subtract the total red squares by the total squares like this 400-256=144, 144 is the amount of blue squares.
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Morgan made a mistake when subtracting the rational expressions below.
Nat2105 [25]

Answer : D

\frac{3t^2-4t+1}{t+3} - \frac{t^2+2t+2}{t+3}

The denominators are  same

So we combine the numerators

\frac{(3t^2-4t+1)-(t^2+2t+2)}{t+3}

To remove parenthesis we distribute negative sign inside the second parenthesis

\frac{3t^2-4t+1-t^2-2t-2)}{t+3}

\frac{3t^2-4t+1-t^2-2t-2)}{t+3}

\frac{2t^2-6t-1)}{t+3}

Morgan made a mistake. He forgot to distribute the negative sign

Morgan forgot to distribute the negative sign to two of the terms 2t  and 2 inside second parenthesis

3 0
3 years ago
Consider the procedure used below to solve the given equation.
muminat
The first mistake was made in step 1 because they took out the x’s it should be 10x-25+2x+8=43
5 0
3 years ago
you are given 2 supplementary angles.one has a measure of 4x and the other has a measure of 8x. what is x?
stich3 [128]

Answer:

x=15

Step-by-step explanation:

Supplementary angles are two angles that equal the sum of 180 degrees.

Take 4x and 8x and make it equal to 180

4x+8x=180

Add like terms:

12x=180

Divide:

x=15

To check:

Plug in 15 to both expressions

4(15)=60

8(15)=120

Add them up and they equal 180 degrees

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
8 0
3 years ago
Write the ratio of the first measurement to the second measurement. Compare in millimeters.
larisa86 [58]

Answer:

8:19

Step-by-step explanation:

Ball B:  diameter in mm = 9.5 * 10 = 95 mm

Ratio of Ball A to Ball B = 40 : 95

=  8:19 answer

5 0
3 years ago
Read 2 more answers
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