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3 years ago

Remove all perfect squares from inside the square root. Assume b is positive

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

Answer:

4b $\sqrt{5}$

Step-by-step explanation:

Factor 80 $b^{2}$ .

80 $b^{2}$ = 4 * 4 * 5 * b * b

Since there are two 4s and bs, they can be taken out of the square. (Because if you put a square root over 4 squared or b squared, you would get 4 or b.)

Now you are left with 4b $\sqrt{5}$ .

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ms.morgan bought 3.5 pounds of bananas at $0.51 a pound and 4.5 pounds of pineapple at $1.19 a pound.how much did she pay for th

Tanzania [10]

3.5*0.51 = 1.785
4.5*1.19 = 5.355
1.785 + 5.355 = 7.14
Ms Morgan paid $7.14c for the bananas and pineapples.

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3 years ago

Read 2 more answers

Lisa studies 5 hours for a particular test and gets a score of 77. At this rate, how many hours would she have to study to get a

Murljashka [212]

77/5=99/x
77x=5*99
77x=495
x=495/77
x=6.4
she needs to study 6.4 hrs to get 99

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4 years ago

I need help w/ this!! thank you

Fittoniya [83]

<h3>Answer:</h3>

$\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}$

<h3>Step-by-step explanation:</h3>

A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.

The inequality given to us is :-

$\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}$

Let's plot a graph to see its interval . Graph attached in attachment .

Now we can see that the Interval notation of would be ,

$\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}$

<h3>Hence the standard form of inequality is y²+3y +2 ≤ 0 and the Solution set of the inequality is [ -2 , -1 ] .</h3>

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3 years ago

Car lot one has a car to truck ratio of 3:4. Car lot two has a car to truck ratio of 2:3. Which car lot has more cars when both

Pani-rosa [81]

Answer:

this means that lot 1 would have more cars. there were 3 cars in lot 1 and 2 in lot 2

Step-by-step explanation:

lot 1- lot 2-

3:4 2:3

if both have 12 trucks, you need to multiply the number of cars with the number you used to make the trucks 12

3:4 would turn into 9:12

2:3 would be 8:12

this means that lot 1 would have more cars. there were 3 cars in lot 1 and 2 in lot 2

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3 years ago

You have a pan with a radius of 16 centimeters. if the cooking instructions say to cover the entire bottom of the pan with butte

Leno4ka [110]

Radius of the pan = 16cm

Formula for area of circle:

$\boxed { \boxed { \text {Area of a circle =} \pi r^2}}$

Find the area of the pan:

$\text {Area of the pan =} \pi (16)^2 = 804.25 \ cm^2$

$\boxed { \boxed {\text {Answer : The butter must cover 804.25 cm}^2}}$

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3 years ago