"9 times the sum of a number and 13" means you must multiply 9 by the sum, not just by the number. 9n + 13 would be "the sum of 9 times a number and 13." Slightly different wording.

4 0

3 years ago

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Joe spends $8 for lunch and $6.50 for dry cleaning. He also buys 2 shirts that cost the same amount. Joe spends a total of $52.

faltersainse [42]

2shirts=52-8-6.50=37.50

so each shirt costs 18.75$

4 0

3 years ago

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Rationalize the denominator of the following expression and simplify:

Mama L [17]

To "rationalize the denominator" is another way to say, getting rid of that pesky radical at the bottom.

we'll simply start by multiplying top and bottom by the "conjugate" of the denominator, recall difference of squares, anyhow, let's do so

$\bf \cfrac{6+\sqrt{2}}{5-\sqrt{2}}\cdot \cfrac{5+\sqrt{2}}{5+\sqrt{2}}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{(5-\sqrt{2})(5+\sqrt{2})}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{5^2-(\sqrt{2})^2}
\\\\\\
\cfrac{30+6\sqrt{2}+5\sqrt{2}+(\sqrt{2})^2}{25-2}\implies \cfrac{30+11\sqrt{2}+2}{23}\implies \cfrac{32+11\sqrt{2}}{23}$

4 0

3 years ago

Can someone help me with these I don’t understand at all

cupoosta [38]

Answer:

#1: ????

#2: $\frac{3}{4}$ x $15$

#3: $\frac{7}{8}$ ÷ $\frac{3}{4}$

Step-by-step explanation:

For #2:

$\frac{3}{4}$ x $15$ .

It's that because there are 3/4 cups of honey for one cake. To use for 15 cakes, you would have to multiply it by 15.

For #3:

$\frac{7}{8}$ ÷ $\frac{3}{4}$ .

It's that because the baker has 7/8 cups of honey. It takes 3/4 cups of honey for one cake. So you have to divide it by 3/4 cups in order to find out how many cakes.

Hope this helped! <3

7 0

3 years ago