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3 years ago

For 17a-17c, choose Yes or No to indicate wheter a zero must be written in the dividend to find the quotient.

Mathematics

1 answer:

Simora [160]3 years ago

8 0

Answer:

a) yes b) no c) no

Step-by-step explanation:

In order to know this, remember something: to do the division between a number and a rational number like this and with zero to the left, the best way to solve them is converting these number to a natural number.

To do that, you only need to multiply the number by 10, 100, 1000, depending of how many decimals it have.

In case a) 0.05 has two decimals, therefore we multiply by 100:

0.05 * 100 = 5

However, when you do that, you have to do the same thing with the number in the dividend, in this case, 1.4:

1.4 * 100 = 140

So we can conclude that 1.4 you have to add a zero to do the division.

Case b) and c) do not apply, in both cases we multiply by 10 and we get this:

25.2 and 6,

26.1 and 3.

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If the terminal point of ø is (1,0), what is tan ø?

charle [14.2K]

Given:

The terminal point of $\phi$ is (1,0).

To find:

The value of $\tan\phi$ .

Solution:

If the terminal point of $\theta$ is (x,y), then

$\tan \theta=\dfrac{y}{x}$

It is given that the terminal point of $\phi$ is (1,0).

Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

$\tan \phi=\dfrac{0}{1}$

$\tan \phi=0$

Therefore, the value of $\tan \phi$ is 0.

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3 years ago

Distribute: 5(2x + 3)

gtnhenbr [62]

Answer:
3(2x - 5) =

WHY?
Distributive property.
You should multiply the outer number to each of the values inside ( and ). So that's 3 multiplied by 2x and 3 multiplied by 5. That's 6x-15.

5 0

3 years ago

Read 2 more answers

Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent

svetlana [45]

Answer:

The cost of one hosta is $6

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the variables are:

x = price of a hosta .
y = price of a pot of ivy.

If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62

If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144

So, the system of equations to solve is:

$\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.$

One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.

Isolating y from the first equation:

$y=\frac{62-5*x}{4}$

and replacing this expression in the second equation you get:

$8*x +12*\frac{62-5*x}{4}=144$

Solving:

$8*x +\frac{12}{4}*(62-5*x)=144$

8*x + 3*(62-5*x)=144

8*x + 3*62 - 3*5*x=144

8*x + 186 - 15*x=144

8*x - 15*x=144 -186

(-7)*x= -42

x= (-42)÷ (-7)

x= 6

The cost of one hosta is $6

8 0

3 years ago

Anyone can help me out on this?

OverLord2011 [107]

Answer:

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3 years ago

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How can I prove mathematically that (a / b) + (c / d) = (ad + bc) / bd

wlad13 [49]

Step-by-step explanation:

(a/b) + (c/d)

Find the common denominator. In this case, bd. So multiply the first fraction by d/d, and the second fraction by b/b.

(ad)/(bd) + (bc)/(bd)

Add the fractions.

(ad + bc) / (bd)

7 0

3 years ago