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3 years ago

Hayden has 6 rolls of dimes. There are 50 dimes in each roll. How many dimes does he have altogether?

Mathematics

2 answers:

Aleks04 [339]3 years ago

6 0

6 times 50 is 300, there’s your answer. He was 300 dimes altogether.

yarga [219]3 years ago

6 0

We have 6 groups of 50, which gives us a total of 50 x 6 = 300 dimes.

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The quotient of a secret number and 4 is 9

Anna [14]

Let's call the 'secret number' x.

A quotient is basically a Dividend/Divisor. If the Divisor is 4, we need to find the dividend, which is x.

Therefore:
x/4=9
We need to isolate the variable by the multiplication property of equality.
x=36.

As a result, the "secret number" is 36

4 0

3 years ago

Which object has a greater surface area: a cube with edges

Mashcka [7]

Answer:

cylinder

Step-by-step explanation:

SA(cube) = 6 cm³

SA(cyl) = 36.11 cm³

8 0

3 years ago

Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

3 years ago

What is the answer to the question. Solve for x

slega [8]

Answer:

Answer:

$x=\frac{75}2$

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular $AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2$

5 0

2 years ago

A tree is 4 is 4.4 feet tall. It is expected to grow by 1 feet per year.

LekaFEV [45]

Answer:

it should be 10.4 in 6 years.

Step-by-step explanation:

not sure what you were asking.

6 0

3 years ago