Solve the equation for y=5x-6 and solve for x

Answers

Answer 1

Answer: y=5x-6 can be rewritten as
y+6=5x
(y+6)/5=x

x=(y+6)/5

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Express the set of numbers shown on the number line

Answers

Given:

The graph of a number line.

To find:

The set of values for the given number line.

Solution:

As we move from right to left on a number line the values decreased however as we move from left to right on a number line the values increased.

From the given number line it is clear that there is an open circle at 7 and a close circle at 10. It means 7 is not included in the solution set but 10 is included in the solution set.

From the point 7, the arrow approaching to the left it means all the values less than 7 are included in the solution set, i.e., x < 7.

From the point 10, the arrow approaching to the right it means all the values greater than 10 or equal to 10 are included in the solution set, i.e., x ≥ 10.

Solution set : x < 7 or x ≥ 10.

Therefore, the correct option is A.

Can someone PLEASEE help ?!:))

Answers

Answer:

a and d

Step-by-step explanation:

multiple/divide the top and bottom by 2

Write as ratio in simplest form

91%, 12%, 6%, 93%, 62%, 14%, 70%, 400%,.

Answers

a)
91/100
we cannot simplify this

b) 12/100 = 6/50
cannot be simplified further

c) 6/100 = 3/50

d) 93/100
cannot be simplified

e) 62/100 = 31/50

f) 14/100 = 7/50

g) 70/100 = 7/10

h) 400/100 = 4

when something is in percentage that means it is some part of 100% that is why we divide by 100.

A camera rental company charges a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera: A graph titled Camera Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis. A straight line joins the ordered pairs 0, 40 and 4, 120.

What is the fixed amount charged?

$20
$30
$40
$80

Answers

Answer:

$40

Step-by-step explanation:

We are given two points (0, 40) and (4, 120).

Now to find the equation which represents A graph titled Camera Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis.

To Find equation we will use two point slope form.

Formula: $y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$

$(x_1,y_1)=(0,40)$

$(x_2,y_2)=(4,120)$

Substitute the values in the formula

$y-40=(120-40)/(4-0)(x-0)$

$y-40=(80)/(4)x$

$y-40=20x$

$y=20x+40$

The equation represents the situation : $y=20x+40$

where x is the number of days

y is the Amount in dollars

Now we are supposed to find the fixed amount charged.

So, we need to substitute x i.e. number of days=0

So, $y=20(0)+40$

$y=40$

Hence the fixed amount charged is $40.

Given:
x y
0 40
4 120

y = fixed amount + v(x)
y = 40 + v(0)
y = 40

y = 40 + v(x)
120 = 40 + v(4)
120 - 40 = v(4)
80 = v(4)
80/4 = v
20 = v

y = 40 + 20x

The fixed amount charged is 40.

The variable amount is 20 per day.

A pizzeria makes brick-oven pizzas that are shaped like long rectangles with semi-circles at two ends. The pizzas come in three different sizes, which are measured by the longer side of each rectangle: 14 inches, 18 inches, and 29 inches. All of the pizzas are 10 inches wide, so the semi-circles at the ends have diameters of 10 inches, too. What is the area of each pizza? Use 3.14 for ? , and round your answers to the nearest tenth if necessary.

Answers

Answer:

Area of pizza whose longer side is of length is 14 inches = 218.5 $inches^(2)$

Area of pizza whose longer side of rectangle is 18 inches=258.5 $inches^(2)$

Area of pizza whose longer side is of length is 29 inches = 368.5 $inches^(2)$

Step-by-step explanation:

Given A pizzeria makes brick-oven pizzas that are shaped like long rectangles with semi-circles at two ends. The pizzas come in three different sizes, which are measured by the longer side of each rectangle: 14 inches, 18 inches, and 29 inches. All of the pizzas are 10 inches wide, so the semi-circles at the ends have diameters of 10 inches. we have to find the area of each pizza.

First, let us find the area of pizza whose longer side of rectangle is 14 inches

Area of 2 semicircles whose diameter is 10 inches

$=2((1)/(2)\pi r^(2))=\pi r^(2)=3.14* 5 * 5 = 78.5 inches^(2)$

Length = 14 inches

Breadth = 10 inches

Area of rectangle = $length * breadth$

= $14* 10=140 inches^(2)$

∴ Area of pizza whose longer side is of length is 14 inches = Area of rectangle + area of 2 semicircles

=140+78.5=218.5 $inches^(2)$

Now, let us find the area of pizza whose longer side of rectangle is 18 inches

Length = 18 inches

Breadth = 10 inches

Area of rectangle = $length * breadth$

= $18* 10=180 inches^(2)$

∴ Area of pizza whose longer side is of length is 18 inches = Area of rectangle + area of 2 semicircles

=180+78.5=258.5 $inches^(2)$

Now, let us find the area of pizza whose longer side of rectangle is 29 inches

Length =29 inches

Breadth = 10 inches

Area of rectangle = $length * breadth$

= $29* 10=290 inches^(2)$

∴ Area of pizza whose longer side is of length is 29 inches = Area of rectangle + area of 2 semicircles

=290+78.5=368.5 $inches^(2)$

Final answer:

To calculate the area of pizzas shaped like rectangles with semi-circular ends, we calculate the area of the rectangle and adjacent semi-circles separately then sum both. The rectangle's area is calculated as length times width while the semi-circle area is calculated as half of (pi*radius^2).

Explanation:

The area of a pizza that's shaped like a long rectangle with semi-circles at the ends can be calculated by first looking at the rectangle and then the semi-circles. For the rectangles, we use the formula for the area of a rectangle that is, length multiplied by width.

For the 14 inch pizza, the rectangle part:
Area = Length x Width = 14 x 10 = 140 square inches

The area of the semi-circle can be calculated as Area=1/2πr². The diameter is given as 10. So, the radius (r) will be half of the diameter, which is 5. Therefore, Area of each semi-circle = 1/2 x π x 5² = 1/2 x 3.14 x 25 = 39.25 square inches. The combined area of two such semi-circles will be = 39.25 x 2 = 78.5 square inches.

Adding the area for the rectangle and the semi-circles, the total area of each pizza will be 140 + 78.5 = 218.5 square inches.

Following these same steps, we can calculate the areas for the 18 inch and 29 inch pizzas.

Learn more about Area of a pizza here:

brainly.com/question/1329248

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Siti had 135 buttons. 5/9 of the buttons were red and the rest were blue. She used 64 red buttons and bought some more blue buttons. She had 84 buttons left in the end. How many blue buttons did Siti buy?

Answers

Answer:

Siti bought 13 blue buttons

Step-by-step explanation:

for not to get confused, we are going to solve the problem step by step

Siti had 135 buttons

5/9 of the buttons were red and the rest were blue

let's calculate how many buttons were red out of 135

135 * 5/9 = 75

if 75 buttons were red and the rest were blue, we can calculate how many were blue

135 - 75 = 60

says she only use 64 red buttons

if we had 75 red buttons and she used 64

75 - 64 = 11

she tells us that she had 84 buttons left, from which we know she had 11 red buttons that had been left over and 60 blue ones that she did not use, so we can calculate how many blue buttons she bought since we have the total number of buttons that she has now

84 - 60 -11 = 13

Siti bought 13 blue buttons

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How to work out 280 times 380