Solve by looking for the X

Answers

Answer 1

Answer:

It is a

Hope this helps you

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A truck that can carry no more than 6900 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 200 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 16 refrigerators and 7 pianos overload the truck? Explain. Let x be the number of refrigerators in the truck and y be the number of pianos in the truck. Write an inequality to show how many refrigerators and how many pianos the truck could carry.

Answers

Answer:

Part a) The inequality is $200x+525y\leq 6,900$

The graph in the attached figure

Part b) 16 refrigerators and 7 pianos will not recharge the truck.

Step-by-step explanation:

Part a) Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry

Let

x -----> the number of refrigerators in the truck

y -----> the number of pianos in the truck

we know that

The number of refrigerators in the truck multiplied by 200 lb plus the number of pianos in the truck multiplied by 525 lb must be less than or equal to 6,900 lb

The inequality that represent this situation is

$200x+525y\leq 6,900$

using a graphing tool

The solution is the shaded area

Remember that the number of refrigerators or the number of pianos in the truck cannot be a negative number or a decimal number. The solution must be a whole numbers.

Part b) Will 16 refrigerators and 7 pianos overload the truck?

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

we have the ordered pair

(16,7)

Substitute x=16,y=7 in the inequality

$200(16)+525(7)\leq 6,900$

$3,200+3,675\leq 6,900$

$6,875\leq 6,900$ -----> is true

The ordered pair satisfy the inequality

The ordered pair is a solution of the inequality

therefore

16 refrigerators and 7 pianos will not recharge the truck.

Find an equation of the line that (a) has y-intercept of -8 and (b) is parallel to the line 6 x − 1 y = 7 6x-1y=7 . Write your answer in the form y = m x + b y=mx+b .

Answers

Answer:

The equation of the line in the slope-intercept form is:

$\:y=6x-8$

Step-by-step explanation:

The slope-intercept form of the equation of a line is

$y\:=\:mx\:+\:b$

As y intercept is -8, we have

$y\:=\:mx\:-8$

Since the line is parallel to $6x-y=7$ , then it has the same slope.

Let's put this equation in $y\:=\:mx\:+\:b$ form and find the slope

$6x-y=7$

$y=6x-7$

Thus, the slope is :

$m = 6$

Now we can finish the equation of the line in the slope-intercept form

$y\:=\:mx\:+\:b$

$\:y=6x-8$ ∵ $m = 6$ , b = -8

Therefore, the equation of the line in the slope-intercept form is:

$\:y=6x-8$

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 500 feet. Determine the flag’s length and width if the length is 70 feet greater than the width.

Answers

Answer:

Width = 90 feet and length = 160 feet

Step-by-step explanation:

Let w = width

Let w + 70 = length

The perimeter would be 2(w) + 2(w + 70) = 2w+ 2w + 140 which must equal 500 feet.

Add the like terms:

4w+140=500; subtract 140 from both sides; 4w = 360; divide both sides by 4 and you get w= 90. If w = 90, then length = 90 + 70 = 160 feet

Let the width be x

length = 70+x

Perimeter =2(l+b)

500=2(70+x+x)

70+2x=250

2x=180

x=90

Width = 90 feet

Length = 70+90=160

HOPE THIS WILL HELP U

Please help quickly!!! Which equation shows the correct use of the Power of Products Property?
A. (2x^5y^2)^3=6x^5y^2
B. (2x^5y^2)^3=6x^15y^6
C. (2x^5y^2)^3=8x^8y^5
D. (2x^5y^2)^3=8x^15y^6

Answers

Answer:

Option D is correct.

$(2x^5y^2)^3= 8x^(15)y^6$

Step-by-step explanation:

Power of product property:

$(x^m)^n = x^(mn)$

$(ax)^m = a^m \cdot x^m$

Let the equation: $(2x^5y^2)^3$

Using power of products Property on given equation:

$(2x^5y^2)^3$ = $2^3 \cdot (x^5)^3 \cdot (y^2)^3 = 8 \cdot x^(15) \cdot y^6 = 8x^(15)y^6$

Therefore, the only option D of an equation which shows the correct use of power of Products property is, $(2x^5y^2)^3= 8x^(15)y^6$

$(2x^5y^2)^3=2^3 * (x^5)^3 * (y^2)^3=8 * x^(5 * 3) * y^(2 * 3)=8x^(15)y^6$

The answer is D.

A salesperson receives a 2.5% commission on sales, what commission does the salesperson receive for $8,000 in sales

Answers

Percentage of commission received by the salesperson = 2.5%
Amount of sales made by the salesperson = $8000
Then
The amount of commission received by the salesperson = (2.5/100) * 8000 dollars
= 2.5 * 80 dollars
= 200 dollars
So the salesperson receives a commission of $200 on the total sales made. I hope the procedure is clear enough for you to understand. You can use this method in future for solving similar problems without requiring any help from outside.

rita is make chili the recipe calls for 2 3/4 cups of tomatoes. How many cups of tomatoes,written as a fraction greater than one, are used in the recipe?

Answers

Given:
2 3/4 cups of tomatoes.

Number of cups of tomatoes written as a fraction greater than one.

2 3/4 is a mixed fraction. It is called such because it is a combination of a whole number and a fraction.

To find the number of cups of tomatoes written as fraction greater than 1, we need to convert the mixed fraction into an improper fraction.

Improper fraction is a fraction whose numerator is greater than its denominator.

2 3/4 ⇒ ((2*4)+3)/4 ⇒ (8+3)/4 ⇒ 11/4

11/4 is a fraction greater than one.

4/4 is a fraction that is equal to one. So, any numerator that is greater than 4 is a fraction that is greater than one. In this case, it is 11/4.

Answer: 11/4

Step-by-step explanation:

4+4+3=11

11/4

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