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4 years ago

1. A NUMBER X DECREASED BY 3 IS 5.

Mathematics

2 answers:

Rom4ik [11]4 years ago

4 0

Cristopher Colombus. He is the answer to this question. If you tihink different, he will colonize you.

OLEGan [10]4 years ago

4 0

1. x-3=5
x = 5+3 = 8
2. a/7=14
a = 14*7
a = 98
3. b*9 = 36
b = 36/9
b = 4
4. x + 4 = 12
x = 12-4
x = 8
5. 4+k=14
k = 14-4
k = 10

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#5 Antonio and Abby had the same nimber of paperclips. After Antonio gave 30 paperclips to Abby, Abby had twice as many papercli

Kay [80]

Answer:

#5: 180 paperclips in total.

#6: 126 stamps in total.

#7: Elena should give Lucy 15 colored pencils.

Step-by-step explanation:

This explanation solves each question by setting a single unknown, $x$ .

Let $x$ the initial number of paperclips of Antonio. That should also be the number of Abby's paperclips.

Initially:

Antonio: $x$ paperclips;
Abby: $x$ paperclips.

Antonio gives $30$ paperclips to Abby. After that,

Antonio: $(x - 30)$ paperclips;
Abby: $x + 30$ paperclips.

Abby now possess twice as many paperclips as Antonio does. In other words,

$2(x - 30) = x + 30$ .

By the distributive property:

$2x - 60 = x + 30$ .

Substract $x - 60$ from both sides

$x = 30 - (-60) = 90$ .

Both Antonio and Abby initially possess 90 paperclips. That's 180 in total.

Similarly, let $x$ be the number of Emily's stamps. That should be the same as the number of Jasmine's stamps.

Initially:

Emily: $x$ stamps;
Jasmine: $x$ stamps.

After Emily gives $42$ stamps to Jasmine:

Emily: $x-42$ stamps;
Jasmine: $x+42$ stamps.

Jasmine now possesses twice as many stamps as Emily does. In other words,

$2(x-42) = x+42$ .

$x = 42 + 2\times 42 = 126$ .

Jasmine used to possess 126 stamps. Now she possesses $126 + 42 = 168$ stamps after receiving $42$ stamps from Emily.

Let the number of pencils that Elena needs to give to Lucy be $x$ .

Initially:

Elena: 60 pencils;
Lucy: 26 pencils.

After Elena gives $x$ pencils to Lucy:

Elena: $60 - x$ pencils;
Lucy: $26 + x$ pencils.

Elena should now possess four more pencils than Lucy does. In other words,

$\underbrace{60 - x}_{\text{Elena's}} = \underbrace{(26 + x)}_{\text{Lucy's}} +4$ .

$2x = 30$ .

$x = 15$ .

8 0

3 years ago

What number should be added to both sides of the equation to complete the square?

baherus [9]

-4 is what you put on both sides Bc it’s half of b

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3 years ago

A movie theater has seats arranged in 25 rows with 30 seats in each row. How many seats are in the theater?

monitta

Answer: 750

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the equation of the exponential function represented by the table below: above^^^^

Nikitich [7]

Answer:

Step-by-step explanation:

We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is

$y=a(b)^x$ where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)

Solving first for a:

$3=a(b)^0$ . Sine anything in the world raised to a power of 0 is 1, we can determine that

a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:

$1.5=3(b)^1$ . Since b to the first is just b:

1.5 = 3b so

b = .5

Filling in our model:

$y=3(\frac{1}{2})^x$

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.

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3 years ago

The ratio of x to y is 1/2 . If the ratio of x + 2 to y + 1 is 2/3 , then what is the value of x?

Natali5045456 [20]

Answer:

x =4

Step-by-step explanation:

x/y = 1/2

(x + 2) / (y + 1) = 2/3

Cross multiply the first equation

2x = y

Put that value for y into the second equation.

(x + 2) / (2x + 1) = 2/3 Cross multiply

3(x + 2) = 2(2x + 1) Remove the brackets.

3x + 6 = 4x + 2 Subtract 3x from both sides

6 = 4x - 3x + 2

6 = x + 2 Subtract 2 from both sides

6-2 = x

x = 4

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3 years ago