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3 years ago

You ate 1/6 of a pizza and your brother eats 5/8 of the pizza .How much did your brother eat compared to you

Mathematics

1 answer:

mezya [45]3 years ago

7 0

Answer:

Subtract: 5/8 - 1/6 = 5 · 3/8 · 3 - 1 · 4/6 · 4 = 15/24 - 4/24 = 15 - 4/24 = 11/24

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 6) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 6 = 48. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - five eighths minus one sixth = eleven twenty-fourths.

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Find an equation for the plane that is tangent to the surface z equals ln (x plus y )at the point Upper P (1 comma 0 comma 0 ).

alexira [117]

Let $f(x,y,z)=z-\ln(x+y)$ . The gradient of $f$ at the point (1, 0, 0) is the normal vector to the surface, which is also orthogonal to the tangent plane at this point.

So the tangent plane has equation

$\nabla f(1,0,0)\cdot(x-1,y,z)=0$

Compute the gradient:

$\nabla f(x,y,z)=\left(\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y},\dfrac{\partial f}{\partial z}\right)=\left(-\dfrac1{x+y},-\dfrac1{x+y},1\right)$

Evaluate the gradient at the given point:

$\nabla f(1,0,0)=(-1,-1,1)$

Then the equation of the tangent plane is

$(-1,-1,1)\cdot(x-1,y,z)=0\implies-(x-1)-y+z=0\implies\boxed{z=x+y-1}$

7 0

4 years ago

Stacy has two job offers for sales jobs. For job A, she would earn a monthly salary of $3,600 and no commission. For job B, she

storchak [24]

Answer:

Job A

Step-by-step explanation:

Job A is $3600 a month while Job B:

5% of $50000 is $2500. $2500 + $1000 = $3500.

$3500 < $3600

5 0

3 years ago

Jasmine can run 4 5/6 miles in 2/3 of an hour. how many miles can she run in one hour

Jlenok [28]

Jasmine can run in one hour is 7.25 miles.

<h3>What is the formula of unitary method?</h3>

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given that,

Jasmine can run 4 $\frac{5}{6}$ miles in $\frac{2}{3}$ of an hour.

$\frac{2}{3}$ of an hour = 4 $\frac{5}{6}$ miles

= $\frac{29}{6}$ miles

By using unitary method we will find the value of an hour.

1 hour = $\frac{\frac{29}{6} }{\frac{2}{3} }$

= $\frac{29}{6}$ × $\frac{3}{2}$

= $\frac{29}{4}$

1 hour = 7.25 miles

Hence, Jasmine can run in one hour is 7.25 miles.

To learn more about unitary method from the given link:

brainly.com/question/10673687

#SPJ4

5 0

2 years ago

9m + 7n2 - 4 + 6m + 5

Ksivusya [100]

Answer:

15m+7n2+1

Step-by-step explanation:

You can add 9m and 6m. Then you will get 15m. Then you would add -4 and 5, you would get 1. So the new equation would be the answer. Since 7n2 doesn’t have another variable to connect to.

8 0

3 years ago

A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at

zhenek [66]

Answer:

Profit = $18.8 per meal

Step-by-step explanation:

Chef ordered beef = 4 pounds

Cost of beef = $3.25 per pound

Total cost of beef = 4 × 3.25 = $13

Amount of potatoes ordered = 6 pounds

Cost of potatoes = $1.96 per pound

Total cost of potatoes = 6 × 1.96

= $11.76

Amount of carrots ordered = 5 pounds

Cost of carrots = $1.81 per pound

Total cost of carrots = 5 × 1.81 = $9.05

Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05

= $33.81

Number of meals prepared with material purchased = 28

Per meal cost = $\frac{33.81}{28}$ = $1.2075

Selling price of one meal = $20

Profit per meal = Selling price - Cost price

= 20 - 1.2075

= 18.7925

≈ $18.8

Therefore, he will make $18.8 for each meal.

3 0

3 years ago