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2 years ago

Simplify and solve each equation for the x

Mathematics

1 answer:

Olegator [25]2 years ago

8 0

Answer:

19y - 7y = 1 + 4(x+2x)

y = 1/12 + x

x = y - 1/12

I hope this helps!

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An account earns simple interest. Find the interest earned. $1200 at 2.8% for 30 months

sasho [114]

let's bear in mind that a year has 12 months, so 30 months is really 30/12 years.

$\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\dotfill & \$1200\\
r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\
t=years\to \frac{30}{12}\dotfill &\frac{5}{2}
\end{cases}
\\\\\\
I=(1200)(0.028)\left( \frac{5}{2} \right)\implies I=84$

8 0

2 years ago

Here's a graph of a linear function. write the equation that describes that function.

7nadin3 [17]

Answer:

Step-by-step explanation:

slope intercept form => Y = mx + b

find m... the slope by using any two points on the line

p1 = (0,5) by inspection

p2=(4,6) by inspection

find m = y2-y1 / x2-x1

m = 6 - 5 / 4 - 0

m =1 / 4

then use the slope intercept formula

y = 1/4x + 5 for your answer. we know b = 5 b/c thats where the line crosses the y axis.

y = $\frac{1}{4}$ x + 5 is the answer

7 0

3 years ago

A probability experiment is conducted in which the sample space of the experiment is Sequals=StartSet 9 comma 10 comma 11 comma

White raven [17]

Answer:

From both approaches P(F or G)=0.667

Step-by-step explanation:

P(F or G)=?

F={9, 10, 11, 12, 13}

G={13,14,15,16}

Finding P(F or G) by counting outcomes in F or G

F or G={9, 10, 11, 12, 13}or {13,14,15,16}

F or G={9, 10, 11, 12,13,14,15,16}

number of outcomes in F or G=n(F or G)=8

S={9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

number of outcomes in S=n(S)=12

P(F or G)=n(F or G)/n(S)

P(F or G)=8/12

P(F or G)=0.667

Finding P(F or G) by addition rule

P(F or G)=P(F)+P(G)-P(F and G)

F={9, 10, 11, 12, 13}

number of outcomes in F=n(F)=5

P(F)=n(F)/n(S)

P(F)=5/12

P(F)=0.417

G={13,14,15,16}

number of outcomes in G=n(G)=4

P(G)=n(G)/n(S)

P(G)=4/12

P(G)=0.333

F and G={9, 10, 11, 12, 13}and {13,14,15,16}

F and G={13}

number of outcomes in F and G=n(F and G)=1

P(F and G)=n(F and G)/n(S)

P(F and G)=1/12

P(F and G)=0.083

P(F or G)=P(F)+P(G)-P(F and G)

P(F or G)=0.417+0.333-0.083

P(F or G)=0.667

8 0

2 years ago

Read 2 more answers

Solve the following system. x squared / 25 + y squared / 100 = 1 x squared + y squared = 25

umka2103 [35]

Answer :

$\frac{1}{100} (4 {x}^{2} + {y}^{2} )$

$\frac{dy}{dx} = \frac{ - x}{y}$

8 0

3 years ago

A model ship is 28 in. by 65 in. Use the scale 1 in. : 1/2 ft to find the dimensions of the actual ship

Kruka [31]

The scale given (1 in : 1/2 ft) implies that 1 inch on the model is equal to 1/2 foot on the actual ship. Therefore, we can multiply the two inch values by 1/2 foot to find the true dimensions of the ship in feet. Starting with 28 inches:

28 × (1/2 ft) = 14 ft

28 inches is proportional to 14 feet. Now calculate 65 inches:

65 × (1/2 ft) = 32.5 ft

65 inches is proportional to 32.5 feet. Therefore, the answer to this problem is:

D) 14 ft. by 32 1/2 ft.

I hope this helps!

6 0

3 years ago