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Vesnalui [34]
3 years ago
13

Paige and Natalie have the same ratio of green marbles in their bags of marbles. Paige has 4 green marbles and 16 total marbles.

If Natalie has 10 green marbles, then how many total marbles does Natalie have?
Mathematics
1 answer:
laiz [17]3 years ago
6 0
<h2><u>Answer:</u></h2>

Natalie has a total of <u>40 marbles.</u>

<u />

<h2><u>Step-by-step explanation:</u></h2>

If 4 of Paiges' marbles are green, then we would write this as the ratio

<u>4:16</u>, or <u>1:4</u>

This means that for every green marble she has, she has 4 total marbles

Therefore, if Natalie has 10 green marbles, we would multiply this by 4 to get a total of <u>40 marbles.</u>

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How to do 7z2 5z4 d3 d8
NISA [10]

Answer:

35{z}^{6}  \cdot \:  {d}^{11}

Step-by-step explanation:

Let us assume , we want to find the product of

7 {z}^{2}  \cdot \: 5 {z}^{4}  \cdot \:  {d}^{3}  \cdot \:  {d}^{8}

We rewrite as:

7  \times 5{z}^{2}  \cdot \:  {z}^{4}  \cdot \:  {d}^{3}  \cdot \:  {d}^{8}

We multiply coefficients and apply the product rule of exponents.

According to the product rule, when the base is the same for a product, we write one base and add the exponents.

35{z}^{2 + 4}  \cdot \:  {d}^{3 + 8}

We simplify the exponents to get;

35{z}^{6}  \cdot \:  {d}^{11}

7 0
3 years ago
I think of two consecutive odd numbers, five times the smaller plus three times the larger is 62. Find the numbers.
siniylev [52]

Answer:

7 and 9

Step-by-step explanation:

Variables:

x = smaller number

y = larger number

We can set up two equations with the information given:

5x + 3y = 62

and

y = x + 2

We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.

Next, we need to replace our y in the first equation with the y in the second:

5x + 3y = 62

5x + 3 (x+2) = 62

5x + 3x + 6 = 62

8x = 56

x (smaller number) = 7

Finally, we solve for the larger number by placing it back into the second equation:

y = x + 2

y = 7 + 2

y (larger number) = 9

I hope this helps!

-TheBusinessMan

6 0
3 years ago
12 points, please help me!
Scrat [10]

A Domain is the lowest and highest x value (-5,-2) is how it is formatted this means -5 to -2

Range is the lowest to highest Y value so (-3,3)

(-5,-2) - domain

(-3,3) - range

B Intercept are when the line crosses the axis labeled x so

(-2,0) and (2,0)

C F(1) means what is x when y is equal to 1 so we must estimate this

(-1,1) and (1.5,1)

D f(x) = -3 is when y is -3 so we look at the graph to see

-5 and 4 are the values for x

E f(x) < 0 means when y is above the x axis

This is between the x values of -2 and 2 or (-2,2)

4 0
3 years ago
Write each decimal as a fraction or mixed number.
n200080 [17]

Answer:

1. 61/100

2. 3 43/100

3. 9/1000

4. 4 7/10

5. 1 1/2

6. 13/100

7. 5 1/500

8. 21/1000

4 0
3 years ago
Which. is. less. to. greater. 4.054. 4.045.4.405.4.504.4005
balandron [24]
4.005 , 4.045 , 4.054 , 4.405 , 4.504
3 0
3 years ago
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