Apply the distributive property to create an equivalent expression.<br> (6m -7)x4 =

6. Edgar pays $67.86 for 7.8 pounds of fertilizer. What is

sineoko [7]

The answer is H. $8.70

7 0

3 years ago

LaVelle is making a pitcher of caffe mocha. For each ounce of chocolate syrup, she uses five ounces of coffee. How many ounces o

ipn [44]

Answer:

40 ounces of coffee

Step-by-step explanation:

we know that

To make caffe mocha, LaVelle uses one ounce of chocolate syrup,and five ounces of coffee

so

To make 6 ounces of caffe mocha (one ounce of chocolate syrup plus 5 ounces of coffe), LaVelle uses one ounce of chocolate syrup,and five ounces of coffee

using proportion

Find out how many ounces of coffee does she need to make 48 ounces of caffe mocha

Let

x ---> ounces of coffee needed to make 48 ounces of caffe mocha

$\frac{6}{5}\ \frac{oz\ caffe\ mocha}{oz\ coffee} =\frac{48}{x}\ \frac{oz\ caffe\ mocha}{oz\ coffee}\\\\x=48(5)/6\\\\x=40\ oz\ coffee$

3 0

3 years ago

Which statements are true about exponential decay functions? Check all that apply. The domain is all real numbers. As the input

lorasvet [3.4K]

<h2>Answer:</h2>

The correct options are:

The domain is all real numbers.

The base must be less than 1 and greater than 0.

The function has a constant multiplicative rate of change.

<h2>Step-by-step explanation:</h2>

We know that the exponential function is given by:

$f(x)=ab^x$

where a>0 and b are constants.

Also, it represents a growth function if b>1

and a decay function if 0<b<1

where b is the base.

x belongs to whole of the real numbers( since the exponential function is well defined for all the real values of x.

Hence, the domain of the function is all the real numbers )

Also, the graph of a decay function decreases continuously i.e. with the increasing input value the output value decreases.

The exponential decay function always have a constant multiplicative rate of change i.e. b.

8 0

3 years ago

Read 2 more answers

Q1.Simplify:

solniwko [45]

$\textbf{(i)}\\\\\{1^3 +2^3 \} \times \left(\dfrac 13 \right)^2\\\\=(1+8) \left(\dfrac 19 \right)\\\\=9\left(\dfrac 19 \right)\\\\=1\\\\$

$\textbf{(ii)}\\\\\{5^{-1}\times 4^{-1}\}^2\\\\=\left(5^{-1} \right)^2 \times \left(4^{-1} \right)^2~~~~~~~~~~~;[(ab)^m = a^mb^m]\\\\=5^{-2}\times 4^{-2}~~~~~~~~~~~~~~~~~~~~;[(a^m)^n = a^{mn}]\\\\=\dfrac 1{5^2} \times \dfrac 1{4^2}~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m},~ a\neq 0 \right]\\\\=\dfrac{1}{400}\\\\=0.0025\\\\$

$\textbf{(iii)}\\\\\left\{ \left(\dfrac 13 \right)^{-2} \times \left( \dfrac 12 \right)^{-2}\right\}\div \left(\dfrac 14 \right)^{-3}\\\\\\=\left( \dfrac 13 \times \dfrac 12 \right)^{-2} \div\left(4^{-1}\right)^{-3}\\\\\\=\left(\dfrac 16 \right)^{-2} \div 4^3\\\\\\=\left(6^{-1} \right)^{-2}\div 4^3\\\\\\=6^2 \div 4^3\\\\\\=36\div 64\\\\\\=\dfrac{9}{16}\\\\\\=0.5625$

6 0

2 years ago

Read 2 more answers

3/400 as a percent step by step explanation

Naddika [18.5K]

Answer:

0.75%

Step-by-step explanation:

First, do 3 divided by 4 which is 0.0075. But this is in decimal form, so we have to multiply this by 100. 0.0075 x 100 is 0.75, so therefore the fraction, 3/400 as an percentage is 0.75%. I hope this makes sense!

4 0

3 years ago

Apply the distributive property to create an equivalent expression. (6m -7)x4 =