Larry needed to by 5 books at the same price. After he uses a $30 gift card, he can spend no more than $50. What is the maximum cost of each book that he can buy?

Answers

Answer 1
Answer:

Answer:

The maximum cost of each book will be $14 that Larry can buy.

Step-by-step explanation:

Given:

Gift card = $30

Maximum amount can be spend = $50

number of books need to buy = 5

We need to find maximum cost of each book.

Solution:

Let the cost of each book be 'x'.

So we can say that;

Sum of money of gift card and maximum money he can spend should be greater than or equal to number of books need to buy multiplied by cost of each book.

framing in  equation form we get;

5x\leq 30+50\n\n5x\leq 80

Dividing both side by 5 we get;

(5x)/(5)\leq (80)/(5)\n\nx\leq\$14

Hence The maximum cost of each book will be $14 that Larry can buy.


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[(a+3)x8+26]:5=18 va multumesc frumos

Answers

[(a+3)*8+26]:5=18 \n\n (a+3)*8+26=18*5 \n\n (a+3)*8+26=90 \n\n (a+3)*8=90-26 \n\n (a+3)*8= 64 \n\n a+3=64:8 \n\n a+3=8 \n\n a=8-3 \n\n \boxed{a=5}
so [(a+3)8+26]/5=18
multiply out
[8a+24+26]/5=18
add
(8a+50)/5=18
bultiply both sides by 5
8a+50=90
subtract 50 from both sides
8a=40
divide both sides by 8
a=5

antoine went on vacation to las vegas. his room cost 115.62 each night. his flight there cost $45.70 and his flight. was32.49. he averaged $15.00 per day on food. on the first dat antoine won$75.00 and on the last day he lost $25. if he stayed for 3 nights and 4 days, how much did the entire trip ( including airfare, food , hotel and wining ) cost him ?

Answers

Hotel

He stayed 3 nights, so $115.62 × 3 = $346.86

Airfare

$45.70 + $32.49 = $78.19

Food

He averaged $15 a day, and he stayed 4 days.

$15 × 4 = $60

Winnings

He won $75 but lost $25

$75 - $25 = $50 won.

Adding up all the expenses and winnings, we find that he paid $435.05 for his trip.


Which is a solution to (x − 2)(x + 10) = 13?x = 3

x = 8

x = 10

x = 11

Answers

The solution to the given algebraic expression (x - 2)(x + 10) = 13 is x = 3

What is an algebraic equation?

An algebraic equation is the combination of variables and their coefficients(usually numbers) with arithmetic operations. The main purpose of an algebraic expression is to determine the value(s) of the variable(s).

From the given information:

(x - 2)(x + 10) = 13

x² + 10x - 2x - 20 = 13

x² + 8x -20 -13

x² + 8x - 33 = 0 (quadratic equation)

Using the quadratic formula, the values of x are - 11 and 3. Since we are considering only the positive integer only, x = 3

Learn more about algebraic equations here:

brainly.com/question/2164351

#SPJ5

Answer: X=3

Step-by-step explanation:

1. expand the equation

x^2 + 10x -2x -20 = 13

2. Collect like terms

x^2 + 8x - 20 = 13

3. Simplify

x^2 + 8x = 13 + 20

x^2 + 8x = 33

x^2 = 33 - 8x

4. Substitute answers for guess and check

3^2 = 33 - (8 x 3)

9 = 33 - 24

This equation is correct therefore x = 3

Simplify this step by step
(-5jk)/(35j^2k^2)

Answers

\frac { -5jk }{ 35{ j }^( 2 ){ k }^( 2 ) } \n \n =-\frac { 5 }{ 35 } \cdot \frac { j }{ { j }^( 2 ) } \cdot \frac { k }{ { k }^( 2 ) } \n \n =-\frac { 1 }{ 7 } \cdot \frac { 1 }{ j } \cdot \frac { 1 }{ k } \n \n =-\frac { 1 }{ 7jk }

Remember that:

\frac { j }{ { j }^( 2 ) } =\frac { 1 }{ j } \cdot \frac { j }{ j } =\frac { 1 }{ j } \cdot 1=\frac { 1 }{ j } \n \n \frac { k }{ { k }^( 2 ) } =\frac { 1 }{ k } \cdot \frac { k }{ k } =\frac { 1 }{ k } \cdot 1=\frac { 1 }{ k }
(-5jk)/(35j^2k^2)=-(1)/(7jk)

Y^2+4x-6x-6y+5=0convert to standard form, find the vertex, focus, and the equation of the directrix line

Answers

I think it is :x= (Y^2)/(2)-3y+ (5)/(2).

But...not really sure



so first we group like terms
y^2+4x-6x-6y+5=0
y^2-6y-2x+5=0
so I suspect that you might have left out a x^2 but I'll try to solve it how it is

y^2-6y+5-2x=0
factor y^2-6y+5
what adds up to -6 and multiplies to get 5, -1 and -5
(y-5)(y-1)-2x=0
not sure how to procede but you could get it to this
(y-5)(y-1)=2x

what is the ratio for the surface areas of rectangle prisims shown below given that they are similar and that the ratio of their edge lengths is 7:3

Answers

Answer:

  B.  49:9

Step-by-step explanation:

The ratio of surface areas is the square of the ratio of edge lengths:

  7² : 3² = 49 : 9