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3 years ago

Solve algebraically 16 = 64 - 32t

Mathematics

2 answers:

mr_godi [17]3 years ago

7 0

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

exact form. t=3/2

decimal form. 1.5

GaryK [48]3 years ago

6 0

Answer:

t= 3/2 (i think this is what you meant?)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

16=64−32t

16=64+−32t

16=−32t+64

Step 2: Flip the equation.

−32t+64=16

Step 3: Subtract 64 from both sides.

−32t+64−64=16−64

−32t=−48

Step 4: Divide both sides by -32

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Igoryamba

Answer:

-8b + 9 - 5k

Step-by-step explanation:

I am assuming the blue highlighted portion is your answer, and is not a part of the initial question

(-4b + 15 - 7k) - (6 + 4b - 2k)

Combine like terms

-4b - + 4b

Negative + Positive = Negative

-4b - 4b = -8b

15 - 6 = 9

-7k - - 2k

Negative + Negative = Positive

-7k + 2k = -5k

Put them all together:

0b + 9 - 5k

Simplify

-8b + 9 - 5k

I got the same answer as you (just in a different order)

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2 years ago

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boyakko [2]

Answer:

The first table

Step-by-step explanation:

the third and fourth table are incorrect because it says Jo bought 25 apples in total but in the third and fourth table there are 35 apples in total.

the second table is incorrect because it said three of the 12 large apples were red. In the second table its says 12 large apples when its supposed to say three and the total in 15 instead of 12.

3 0

3 years ago

Read 2 more answers

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the intercept. The intercept of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .