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Leya [2.2K]
3 years ago
14

Is (5x+6)/2=3-(4x+12) equivalent to 5/2x+3=3-(4x+12) ?

Mathematics
1 answer:
strojnjashka [21]3 years ago
4 0

Answer:

-24/13, yes

Step-by-step explanation:

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A jar is filled with only dimes and quarters. The jar contains a total of 60 coins and the value of the jar is $11.25. How many
inessss [21]

Answer:

35 quarters

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • d+q=60 is an equation representing the total number of coins
  • 0.10d+0.25q=11.25 is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get d=60-q. We now substitute this for d in the second equation.

0.10(60-q)+0.25q=11.25\\6-0.10q+0.25q=11.25\\6+0.15q=11.25

After simplifying, we subtract 6 across and divide by the coefficient of q.

6+0.15q=11.25\\0.15q=5.25\\q=35

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.

3 0
3 years ago
Determine wether the ratios are proportional: 6/36 and 1/6
dangina [55]
They are proportional. If you divide 6/36 by 6 on the numerator and the denominator, you get the same fraction of 1.6.
3 0
3 years ago
What should be the paper weight
nata0808 [166]

Answer:

6.25 cm

Step-by-step explanation:

\rho=\dfrac{m}{V} \\\\V_{\text{pyramid}}= A_{\text{base}}\cdot h \cdot \dfrac{1}{3} \\\\1.6=\dfrac{400}{V} \\\\V=120 \cdot h \cdot \dfrac{1}{3} \\\\1.6=\dfrac{400}{40h} \\\\1.6=\dfrac{10}{h} \\\\1.6h=10 \\\\h=\dfrac{10}{1.6}=6.25\text{ cm}

Hope this helps!

8 0
3 years ago
Read 2 more answers
For the function defined by y = 1/x4, y varies inversely as what quantity
gregori [183]

ANSWER

y varies inversely as x exponent 4.

EXPLANATION

The inverse variation equation is given as:

y =  \frac{1}{ {x}^{4} }

We can see that there is an inverse relation between the quantity y and x.

If the it were y =  \frac{1}{ {x}^2 }, we say y varies inversely as the square of x.

Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.

6 0
3 years ago
This my last question I need help plz
pav-90 [236]

Answer:

y-5=1/3(x-6)

Step-by-step explanation:

SO find the slope first

ANd then just fill out the point slope formula

6 0
3 years ago
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