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3 years ago

Mrs. Lopez found a dining table on sale for 45% off. If the

Mathematics

2 answers:

const2013 [10]3 years ago

7 0

Answer:

$687.50

Step-by-step explanation:

GalinKa [24]3 years ago

5 0

Answer:

it would be 562.50 because i used the calculator

Step-by-step explanation:

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If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo

Tems11 [23]

<em>Question:</em>

<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?</em>

Answer:

The basket of bottles weighs more than the basket of apples by $3\frac{3}{4}$ ounces

Step-by-step explanation:

Given

$Bottles = 5$

$Weight(Bottle) = 7\frac{1}{4}$

$Apples = 6$

$Weight(Apple) = 6\frac{1}{2}$

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

$Total\ Weight = Weight * Bottles$

$Total\ Weight = 7\frac{1}{4} * 5$

$Total\ Weight = \frac{29}{4} * 5$

$Total\ Weight = \frac{29 * 5}{4}$

$Total\ Weight = \frac{145}{4}$

$Total\ Weight = 36\frac{1}{4}$

For the bottles' basket

$Total\ Weight = Weight * Apples$

$Total\ Weight = 6\frac{1}{2} * 5$

$Total\ Weight = \frac{13}{2} * 5$

$Total\ Weight = \frac{13* 5}{2}$

$Total\ Weight = \frac{65}{2}$

$Total\ Weight = 32\frac{1}{2}$

By comparing both total weights, $36\frac{1}{4} > 32\frac{1}{2}$

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

$Difference = 36\frac{1}{4} - 32\frac{1}{2}$

$Difference = \frac{145}{4} - \frac{65}{2}$

$Difference = \frac{145 - 130}{4}$

$Difference = \frac{15}{4}$

$Difference = 3\frac{3}{4}$

Hence:

It weighs more by $3\frac{3}{4}$ ounces

8 0

3 years ago

the area of a reactangle mirror is 11 11/16 square feet the width of the mirror is 2 2/4 feet. if there is a 5 foot tall space o

77julia77 [94]

So square feet is area which is legnth times width or area=lw or a=lw

width=w=2 2/4
2/4=1/2
w=2 1/2=5/2

a=lw
11 11/16=187/16
187/16=l(5/2)

multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)

374/80=legnth
simplify
374/80=187/40=4 27/40=legnth

legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit

8 0

3 years ago

Plzz help solve the given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no

zloy xaker [14]

Answers:

<h3>x = 3</h3><h3>One solution</h3><h3>Identity</h3>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so that its value can be determined.

<h3>Step 1: Use distributive property to remove parentheses</h3>

2x + 4x - 4 = 2 + 4x

<h3>Step 2: Add like terms</h3>

6x - 4 = 2 + 4x

<h3>Step 3: Subtract 4x</h3>

We need all variables on one side to solve, so subtract 4x from both sides.

2x - 4 = 2

2x = 6

<h3>Step 5: Divide by 2</h3>

x = 3

<h3>Step 6: Check</h3>

2(3) + 4(3) - 4 = 2 + 4(3)

6 + 12 - 4 = 2 + 12

14 = 14 ✔

<h3>Step 7: How many solutions?</h3>

The given equation has only one solution.

<h3>Step 8: Identity, a contradiction or neither?</h3>

The given equation is an identity.

<h3>Step 9: Answers</h3>

x = 3

One solution

Identity

I'm always happy to help :)

3 0

3 years ago

Hie6ew7s8disofhfhfghjkloiuyteefghj

bogdanovich [222]

Answer:

jgjfidjrbxixj4neidnekdigj9djjdkwkshd

7 0

3 years ago

Read 2 more answers

Solve for x<br><img src="https://tex.z-dn.net/?f=0%20%3D%20%20-%20%7B%20e%20%7D%5E%7B%20-%20x%7D%20%20%2B%203%20%7Be%7D%5E%7B3x%

Brilliant_brown [7]

$\bf \textit{Logarithm Cancellation Rules} \\\\ \stackrel{\stackrel{\textit{we'll use this one}}{\downarrow }}{log_a a^x = x}\qquad \qquad a^{log_a x}=x~\hfill\stackrel{recall}{ln=log_e}\qquad log_e(e^z)=z \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf 0=-e^{-x}+3e^{3x}\implies e^{-x}=3e^{3x}\implies \cfrac{1}{e^x}=3e^{3x}\implies 1=e^x\cdot 3e^{3x} \\\\\\ 1=3e^xe^{3x}\implies \cfrac{1}{3}=e^{x+3x}\implies \cfrac{1}{3}=e^{4x}\implies ln\left( \cfrac{1}{3} \right)=ln\left( e^{4x} \right) \\\\\\ ln\left( \cfrac{1}{3} \right)=4x\implies \cfrac{ln\left( \frac{1}{3} \right)}{4}=x$

and you plug that in your calculator to get about -0.27465307216702742285.

8 0

3 years ago