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3 years ago

There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps

1 answer:

6 0

Answer: 7:3, 7 and 3, or 7/3 depending how you write it, but it’s the same.

Explanation: When doing ratios, all you do is get both numbers and put them in the order they ask for.

Example: Bob has 4 heart cupcakes. Lisa has 9 butterfly cupcakes. What is the ratio of butterfly cupcakes to heart cupcakes?
The answer to that would be 9:4. You just follow the order the question asks.

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The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousand

velikii [3]

Answer:

$h(x) = 57(0.8)^x$

Step-by-step explanation:

Given

$f(x) = 32(0.8)^x$

$g(x) = 25(0.8)^x$

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

$h(x) = f(x) + g(x)$

$h(x) = 32(0.8)^x + 25(0.8)^x$

Factorize

$h(x) = (32 + 25)(0.8)^x$

$h(x) = 57(0.8)^x$

6 0

2 years ago

Factorise fully : 6x²-11x-10

steposvetlana [31]

Answer:

After factorization we got,

$(6x + 5)(x - 2)$

Step-by-step explanation:

here's the solution: -

=》

$6 {x}^{2} - 7x - 10$

=》

$6 {x}^{2} - 12x + 5x - 10$

=》

$6x(x - 2) + 5(x - 2)$

=》

$(6x + 5)(x - 2)$

7 0

3 years ago

Calculate the sample standard deviation of data from Question 1 76,45,64,80,92

mash [69]

Answer:

$S.D = 15.98$

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

$Mean = \frac {\sum x}{n}$

Where x-> 76,45,64,80,92 and n = 5

$Mean = \frac {76+45+64+80+92}{5}$

$Mean = \frac{357}{5}$

$Mean = 71.4$

Subtract Mean (71.4) from each of the given data

$76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6$

Determine the absolute value of the above result

$|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6$

Square Individual Result

$4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36$

Calculate the mean of the above result to give the variance

$Mean = \frac {\sum x}{n}$

$Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298$

Hence, Variance = 255.298

Standard Deviation is calculated by $\sqrt{Var}$

$SD = \sqrt{255.298}$

$S.D = 15.9780474402$

$S.D = 15.98 (Approximated)$

6 0

3 years ago

Point S is on line segment RT. Given RS = 4x – 10, ST = 2x – 10, and

borishaifa [10]

Answer:

The numerical length of RS is 22 units

Step-by-step explanation:

∵ Point S is on the line segment RT

→ That means S divide RT into two parts RS and ST

∴ RS + ST = RT

∵ RS = 4x - 10

∵ ST = 2x - 10

∵ RT = 4x - 4

→ Substitute them in the statement above

∴ 4x - 10 + 2x - 10 = 4x - 4

→ Add the like terms in the left side

∴ (4x + 2x) + (-10 + -10) = 4x - 4

∴ 6x + (-20) = 4x - 4

∴ 6x - 20 = 4x - 4

→ Add 20 to both sides

∴ 6x -20 + 20 = 4x - 4 + 20

∴ 6x = 4x + 16

→ Subtract 4x from both sides

∴ 6x - 4x = 4x - 4x + 16

∴ 2x = 16

→ Divide both sides by 2 to find x

∴ $\frac{2x}{2}=\frac{16}{2}$

∴ x = 8

→ Substitute the value of x in Rs to find its length

∵ RS = 4(8) - 10

∴ RS = 32 - 10

∴ RS = 22 units

The numerical length of RS is 22 units

3 0

2 years ago

How do you write four and twenty four hundredths in standard decimal form

jek_recluse [69]

4.024 Four and twenty four hundredths

5 0

3 years ago