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4 years ago

−9(t−2)=4(t−15) Pleasee Help Mee

Mathematics

2 answers:

iragen [17]4 years ago

8 0

Answer:

T = - 6

Step-by-step explanation:

See image for explanation

Masteriza [31]4 years ago

7 0

Answer: t = 6

Step-by-step explanation:

Distribute -9 into (t-2) and distribute 4 into (t-15). -9t + 18 = 4t - 60.
Subtract 4t on both sides. -13t + 18 = -60
Subtract 18 on both sides. -13t = -78
Divide 13 on both sides. t = 6

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Solve the equation 7/z-1 = 9/z+4

algol [13]

Answer:

z is equal to 18.5

Step-by-step explanation:

When an equation is in the format a/b = c/d, the quickest way to simplify it is to cross multiply. Each side is multiplied by the other sides denominator, eliminating the division:

$\frac{7}{z-1} = \frac{9}{z + 4}\\7(z + 4) = 9(z - 1)\\7z + 28 = 9z - 9\\7z - 9z = -9 - 28\\-2z = -37\\z = 37/2\\z = 18.5$

So z is equal to 18.5

3 0

3 years ago

Select all possible values for x in the equation x^3=375?

Helga [31]

<h2>Hello!</h2>

The answers are:

The possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

To solve the problem, we need to remember the following properties of the exponents and roots:

$a\sqrt[n]{b}=\sqrt[n]{a^{n}*b} \\\\\sqrt[n]{a^{m} }=a^{\frac{m}{n}}\\\\(a^{b})^{c}=a^{b*c}$

Then, we are given the expression:

$x^{3}=375$

So, finding "x", we have:

$x^{3}=375\\\\(x^{3})^{\frac{1}{3} } =(375)^{\frac{1}{3}}\\\\x=\sqrt[3]{375}=\sqrt[3]{125*3}=\sqrt[3]{125}*\sqrt[3]{3}=5\sqrt[3]{3}$

Hence, the possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

Have a nice day!

7 0

4 years ago

If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyrami

masha68 [24]

The volume (V) of a pyramid is found using the formula

V = $\frac{1}{3}$ × area of base × height(h)

area of base = 9² = 81 ← area of a square, hence

324 = $\frac{1}{3}$ × 81 × h = 27h ( divide both sides by 27 )

h = $\frac{324}{27}$ = 12 → A

3 0

3 years ago

Find the area of the triangle when b=8 and h=14

babunello [35]

Answer:

56 square units

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is:

A = (1/2)(b)(h)

Here, that area is A = (1/2)(8)(14) = 56 square units

4 0

3 years ago

Cooper opened a savings account and deposited $1,000.00. The account earns 9% interest, compounded continuously. If he wants to

AveGali [126]

Step-by-step explanation:

A = P*e*r*t

P = 1,000

e = 2.71828

r = 0.09

t = 1

A = (1,000)*(2.71828)*(0.09)*(1)

A = 244.65

4 0

3 years ago