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2 years ago

If the total value of the coins is 56¢, what are the missing coins?

Mathematics

1 answer:

IrinaK [193]2 years ago

4 0

Answer:

Nickle and quarter.

Step-by-step explanation:

Because a quarter and penny add up to 26

56-26 = 30

a quarter and a nickle add up to 30:

25 +5 = 30

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A company buys computers and printers. Each computer costs $550 and each printer costs $390. If the company spends $8160 and buy

maxonik [38]

Answer:the company bought 12 computers and 4 printers.

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

6 0

2 years ago

Find the volume of the triangular prism

juin [17]

Answer:

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Step-by-step explanation:

7 0

1 year ago

Read 2 more answers

Please help me right away with these problems.

viktelen [127]

Q.34

$\sum\limits_{k=1}^{\infty}420\left(1.002\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r =1.002 > 1, therefore our infinite geometric series is Diverges

Answer: c. Diverges, sum not exist.

Q.35

$\sum\limits_{k=1}^{\infty}-5\left(\dfrac{4}{5}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r = 4/5 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=-5\left(\dfrac{4}{5}\right)^{1-1}=-5\left(\dfrac{4}{5}\right)^0=-5\\\\r=\dfrac{4}{5}$

substitute:

$S=\dfrac{-5}{1-\frac{4}{5}}=-\dfrac{5}{\frac{1}{5}}=-5\cdot\dfrac{5}{1}=-25$

Answer: c. Converges, -25.

4 0

2 years ago

Anja simplified the expression StartFraction 10 x Superscript negative 5 Baseline Over Negative 5 x Superscript 10 Baseline EndF

Gwar [14]

The mistake that Anja made during the simplification of the considered expression is given by: Option C: She subtracted the coefficients instead of dividing them

<h3>What are coefficients?</h3>

Constants who are in multiplication with variables are called coefficients of those variables.

For example, in $10x^2$ we have 10 as coefficient of $x^2$

Those variables who have got no visible coefficient has 1 as their coefficient. Thus, $x^2$ has got its coefficient as 1. It is true since 1 multiplied with any number is that number itself.( $x^2 = 1 \times x^2$ )

<h3>What are some basic properties of exponentiation?</h3>

If we have $a^b$ then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

$a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c$

For the considered situation, the expression that Anja is simplifying is:
$\dfrac{10x^{-5}}{-5x^{10}}$

Anja simplified it to $\dfrac{15}{x^{15}}$

She performed operations with variable 'x' correctly since

$\dfrac{x^{-5}}{x^{10}} = \dfrac{1}{x^5} \times \dfrac{1}{x^{10}} = \dfrac{1}{x^{15}}$

But coefficients will also get divided. Instead of dividing 10 by -5, she subtracted them (as 10 - (-5) = 10 + 5 = 15)

This was her mistake.

The correct simplification would be: $\dfrac{10x^{-5}}{-5x^{10}} = \dfrac{10}{-5} \times \dfrac{x^{-5}}{x^{10}} = -2 \times \dfrac{1}{x^{15}} = \dfrac{-2}{x^{15}} = -2x^{-15}$

Thus, the mistake that Anja made during the simplification of the considered expression is given by: Option C: She subtracted the coefficients instead of dividing them

Learn more about exponent and bases here:

brainly.com/question/847241

4 0

1 year ago

a cylindrical paint can has a diameter of 12 centimeters and a hieght of 16 centimeters. What is the colsest to the volume of th

Marianna [84]

Answer: $1809.792\ m^3$