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SVETLANKA909090 [29]

3 years ago

5

The two fractions are equivalent.

1 answer:

pantera1 [17]3 years ago

6 0

Answer:

D48

Step-by-step explanation:

$\frac{5}{6} = \frac{40}{x}$

using cross multiplication

5x = 6* 40

x = $\frac{6*40}{5}$ = 48

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Solve the equation y=2x^2-x-6 using the quadratic formula show the steps to solving

saul85 [17]

Answer:

$x1 = 2 \\ x2 = - \frac{3}{2}$

Step-by-step explanation:

$x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{1 + - \sqrt{ {( - 1)}^{2} - 4(2)( - 6) } }{2(2)} \\ x = \frac{1 + - \sqrt{1 + 48} }{4} \\ x = \frac{1 + - \sqrt{49} }{4} \\ x = \frac{1 + - 7}{4} \\ \\ x1 = \frac{1 + 7}{4} = \frac{8}{4} = 2 \\ x2 = \frac{1 - 7}{4} = - \frac{6 }{4} = - \frac{3}{2}$

7 0

4 years ago

2x^2+8x+433 in factoring out a GCF

dlinn [17]

The greatest common factor is 1

6 0

3 years ago

The body of a 154 pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum. Based on

KengaRu [80]

let a be aluminum and g be gold and k how many times:

2*10⁻¹mg a+ 6*10¹mg g= 154 lb

so a=kg

k=a/g

k=2*10⁻¹/6*10=1/300

a=1/300g

so Aluminum is 1/300 of gold.

3 0

2 years ago

The daily profit P (in thousands of dollars) from the sale of televisions is a function of the number x of televisions sold (

scZoUnD [109]

Answer:

The break-even sales amounts is 36 or 224.

Step-by-step explanation:

Consider the provided function.

$P= -5x^2 + 13x - 4$

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts.

the break-even sales amounts is the sales amounts that result in no profit or loss.

That means substitute P=0 and solve for x.

$-5x^2 + 13x - 4=0$

$5x^2-13x+4=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a=4, b=-13 and c=4 in above formula.

$x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}$

$x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}$

$x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}$

$x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357$

Therefore, the break-even sales amounts is 36 or 224.

7 0

3 years ago

How much was invested in the energy

Fofino [41]

The time it will take before Diego catches up with Linh will be after 8 hours

Let :

Distance traveled = d

<u>Diego</u> :

Travel speed = 75 mph
Travel time = t

<u>Linh</u>:

Travel speed = 60 mph
Travel time = t + 2

Recall :

Distance covered = speed × time

Distance covered by Linh = 60(t + 2)
Distance covered by Diego = 75t

<u>Time</u><u> when Diego catches up with Linh</u> :

Diego's distance = Linh's distance

75t = 60(t + 2)

Solve for t ;

75t = 60t + 120

Collect like terms

75t - 60t = 120

15t = 120

Divide both sides by 15 to isolate t

t = (120 / 15)

t = 8

Hence, Diego will catch up with Linh after 8 hours.

Learn more : brainly.com/question/13218948

6 0

3 years ago