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NARA [144]
3 years ago
12

A recipe includes 6 cups of flour and 2/3 cup of butter. Write the ratio of the amount of flour to the amount of butter as a fra

ction in simplest form.
Mathematics
1 answer:
diamong [38]3 years ago
6 0
6 : 2/3.....multiply by 3
18 : 2...reduce 
9:1 or 9/1
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Which of the following phrases can be used to represent -11?
Reptile [31]

Answer:

eleven below zero

Step-by-step explanation:

opposite of -11 =11  so that doesn't work

positive eleven=11 so that doesn't work

eleven greater than zero=11 so that doesn't work

eleven below zer0= -11 so it works

3 0
3 years ago
Read 2 more answers
$46 shoes, 2.9% tax what is the total cost
Amanda [17]
\$46\times (1+\frac{2,9}{100})=\$46\times1,029=\$47,334
8 0
2 years ago
Read 2 more answers
#54 Simplify and write the answers using positive exponents only.
kramer
Gg easy

remember
(x^m)/(x^n)=x^(m-n)
and
(x^m)^n=x^(mn)
and
(xyz)^m=(x^m)(y^m)(z^m)
and
(m/n)^a=(m^a)/(n^a)
and
x^-n=1/(x^n)

so
( \frac{6mn^{-2}}{3m^{-1}n^2} )^{-3}=
( \frac{6}{3} )^{-3}( \frac{m}{m^{-1}} )^{-3}( \frac{n^{-2}}{n^2} )^{-3}=
(2^{-3})((m^2)^{-3})((n^{-4})^{-3})=
( \frac{1}{2^3})(m^{-6})(n^{12})=
( \frac{1}{8} )( \frac{1}{m^6})(n^{12})=
\frac{n^{12}}{8m^6}

8 0
3 years ago
Gannon has deposited $742 in a savings account that earns interest at a rate of 3.4% compounded monthly. What will the account b
marta [7]
Firstly, solve the effective annual interest (ieff) with the equation,
 
                          ieff = (1 + i/m)^m -1

where i is the interest rate and m is the number of times the interest is compounded in a year. In this problem, m is 12

Substituting the values, 
                            ieff = (1 + 0.034/12)^12 - 1 =0.03453

To solve for the future (F) amount of the present investment (P), 
                                       
                                        F = P x (1 + ieff)^n

where n is number of years.
 
                                        F = ($742) x (1 + 0.03453)^15

Thus, the answer is $1234.76. 


 
                

7 0
3 years ago
Diego is solving the equation x^2-12x = 21
uysha [10]

Answer:

The solutions to the quadratic equations will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

Step-by-step explanation:

Given the expression

x^2-12x\:=\:21

Let us solve the equation by completing the square

x^2-12x\:=\:21

Add (-6)² to both sides

x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2

simplify

x^2-12x+\left(-6\right)^2=57

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

x^2-12x+\left(-6\right)^2=\left(x-6\right)^2

so the expression becomes

\left(x-6\right)^2=57

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-6=\sqrt{57}

add 6 to both sides

x-6+6=\sqrt{57}+6

Simplify

x=\sqrt{57}+6

also solving

x-6=-\sqrt{57}

add 6 to both sides

x-6+6=-\sqrt{57}+6

Simplify

x=-\sqrt{57}+6

Therefore, the solutions to the quadratic equation will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

5 0
2 years ago
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