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2 years ago

What is 4 & 1/2 ÷ 1/4?

Mathematics

2 answers:

marta [7]2 years ago

5 0

Answer:

Step-by-step explanation:

Convert the mixed number to an improper fraction 9/2÷1/4

Reduce the numbers with the greatest common factor 2

and then multiply the numbers 9×2=18 ✅

natulia [17]2 years ago

3 0

18 is the correct answer

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Two cars start moving from the same point. One travels south at 52 mi/h and the other travels west at 39 mi/h. At what rate is t

yawa3891 [41]

Answer:

The distance between them is 91 mi/h

Step-by-step explanation:

6 0

2 years ago

21. In 4 + In(4x - 15) = In(5x + 19)

Alexxx [7]

Answer:

$x=-30;\quad \:I\ne \:0$

Step-by-step explanation:

$In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)$

$\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\$

$\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\$

$\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:$

$\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0$

3 0

3 years ago

what is the total weight of the italian Sandwhich?write the amount as a fraction in simplest form,meat:0.35,vegie:0.15,sauce:0.0

Olegator [25]

The total weight of the Italian sandwich in its simplest fraction is 3/5.

meat : 0.35 in fraction 35/100
veggies : 0.15 in fraction 15/100
sauce : 0.05 in fraction 5/100
bread : 0.05 in fraction 5/100

Total weight = 35/100 + 15/100 + 5/100 + 5/100
= (35 + 15 + 5 + 5) / 100
= 60/100

To simplify the fraction:

60/100 ⇒ 60 ÷ 10 = 6 ; 100 ÷ 10 = 10 ⇒ 6/10
6/10 ⇒ 6 ÷ 2 = 3 ; 10 ÷ 2 = 5 ⇒ 3/5

7 0

2 years ago

Read 2 more answers

At a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump

Aleks04 [339]

Answer:

0.150,0.595

Step-by-step explanation:

Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.

Regular gas Midgrade Premium gas Total

Percent 40 35 25 100

atleast 30 30% 50% 60%

a) The probability that the next customer pumps premium gas and pays at least $30

= $0.25*0.60\\=0.150$

b) the probability that the next customer pays at least $30

= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and pays atleast 30%)

= $0.40*0.30+0.35*0.50+0.25*0.60\\=0.12+0.175+0.30\\=0.595$

6 0

2 years ago

The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number? wr

dimaraw [331]

Xy is the number

A) x + y = 7
B) 10y + x = 10x + y + 9
collecting terms of equation B
B) -9x + 9y = 9
multiplying A) by 9
A) 9x + 9y = 63 then adding it to equation B)
B) -9x + 9y = 9
18y = 72
y = 4
x = 3

The number is 34

4 0

3 years ago