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scoundrel [369]
3 years ago
9

Someone please help

Mathematics
1 answer:
ss7ja [257]3 years ago
7 0

Answer:

a. \frac{3}{4} teaspoons

Step-by-step explanation:

You didn't show in the image that each batch makes 12 cupcakes, but I remember that from the other problems of yours that I helped with.

We know that each batch is 12 cupcakes and we want 36 cupcakes. This means that we will have to triple the recipe.

This means that we can triple the value of baking powder which is \frac{1}{4} tsp

\frac{1}{4} *3=\frac{3}{4}

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Keith_Richards [23]

(3x+5)+(x+3)=180

4x+8=180

4x=172

x=43

3(43)+5

<PQR=134

<SQR=46

6 0
3 years ago
Read 2 more answers
I just need answers to the odd numbered questions.<br> I would appreciate the help<br><br> 35 points
Misha Larkins [42]

Answer:

Step-by-step explanation:

Combine real terms and combine complex terms

1) 3 + 2i + 2 - 5i = 3 +2 + 2i - 5i

                          = 5 + (2-5)i

                          = 5 + (-3)i

                          = 5 - 3i

3) 2 - (1 - 2i) + (4 -5i ) - (1 - 3i)  = 2 -1 + 2i + 4 - 5i - 1 + 3i

           {- is distributed to (1 - 2i) & - is distributed to (1- 3i)}

              = 2 - 1  + 4 + 1 + 2i - 5i + 3i

              = 6 +0i = 6

5) 4 - 3i + 4 + 3i = 4 +4 -3i + 3i

                          = 8

7) (3 - 2i)² + (3 +2i) = 3² - 2*3*2i + (2i)² + 3 + 2i     {(a - b)² = a² - 2ab +b²}

= 9 -12i + 4i² + 3 + 2i

= 9 - 12i + 4*(-1) + 3 + 2i       {i²  = -1}

= 9 +3 - 4 - 12i +2i

= 8 - 10i

9) (a +b)^{4} - (a - b)^{4} = 8ab(a^{2} +b^{2})\\\\\\Here, \ a = 1 \ and \ b = i\\\\\\(1+\sqrt{-1})^{4}-(1-\sqrt{-1})^{4}=(1+\sqrt{i^{2}})^{4}-(1-\sqrt{i^{2}})^{4}\\\\=(1+i)^{4}-(1-i)^{4}\\\\=8*1*i(1^{2}+i^{2})\\\\=8i*(1 -1)\\\\=8i*0\\\\=0

6 0
3 years ago
Kellogg's produced 715000 boxes of cornflakes this year. This was 110% of annual production last year. What was last year's annu
Charra [1.4K]
Let last year product be x boxes.

110% of x means \displaystyle{  \frac{110}{100}\cdot x.

Thus, we solve the equation:

                                  \displaystyle{ \frac{110}{100}\cdot x=715,000.

Multiplying both sides by  \displaystyle{ \frac{100}{110}, we have:

                    \displaystyle{ x=715,000 \cdot \frac{100}{110}=650,000.


Answer: Last <span>year's annual production was 650,000 boxes.</span>
6 0
3 years ago
What is the quotient of 25.95 divided by 50.25? *
Ainat [17]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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State the equation of the line<br> that is perpendicular to 4x-3y=10<br> through the point (-2,4)
Lynna [10]

The equation of the line  that is perpendicular to 4x - 3y = 10  through the point (-2,4) is y-4=\frac{-3}{4}(x+2)

<u>Solution:</u>

Given, line equation is 4x – 3y = 10  

We have to find a line that is perpendicular to 4x – 3y = 10 and passing through (-2, 4)

Now, let us find the slope of the given line,  

\text { Slope of a line }=\frac{-\mathrm{x} \text { coefficient }}{\mathrm{y} \text { coefficient }}=\frac{-4}{-3}=\frac{4}{3}

We know that, slope of a line \times slope of perpendicular line = -1

\begin{array}{l}{\text { Then, } \frac{4}{3} \times \text { slope of perpendicular line }=-1} \\\\ {\rightarrow \text { slope of perpendicular line }=-1 \times \frac{3}{4}=-\frac{3}{4}}\end{array}

Now, slope of our required line = \frac{-3}{4} and it passes through (-2, 4)

<em><u>The point slope form is given as:</u></em>

\begin{array}{l}{y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }} \\\\ {\text { Here in our problem, } m=-\frac{3}{4}, \text { and }\left(x_{1}, y_{1}\right)=(-2,4)} \\\\ {\text { Then, line equation } \rightarrow y-4=-\frac{3}{4}(x-(-2))}\end{array}

y-4=\frac{-3}{4}(x+2)

Hence the equation of line is found out

6 0
3 years ago
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