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3 years ago

-6x- 17/4 is less than or equal to 79/4 please please please solve and show work

1 answer:

6 0

$-6x-\dfrac{17}{4}\leq\dfrac{79}{4}\ \ \ |\cdot4\\\\-24x-17\leq79\ \ \ |+17\\\\-24x\leq96\ \ \ |:(-24)\\\\x\geq-4\to x\in\left$

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Curved surface of a cone of slant height 20 cm and base radius 14 cm is ____. * 1 point 280 sq.cm 2080 sq.cm 1496 sq.cm 880 sq.c

valkas [14]

Answer:

880 cm²

Step-by-step explanation:

Given that :

Curved surface area of a cone : πrl

r = base Radius = 14 cm

l = slant height = 20 cm

Hence,

Curved surface area = π * 14 * 20

Curvwd surface are = π * 14 * 20

Curved surface area = 879.64594 cm²

Curved surface area = 880 cm²

7 0

2 years ago

Anita invested $6000, some at 5% and the rest at 6%. If the yearly income is $337.50, what is the amount invested at each rate?

Pepsi [2]

Let the amount invested with 5% interest be x

Therefore, the amount invested with 6% interest will be (6000-x)

It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

$\frac{5}{100}x+\frac{6}{100}(6000-x)=337.5$

Multiplying both sides by 100 we get:

$5x+6(6000-x)=33750$

$5x+36000-6x=33750$

Subtracting both sides by 36000 we get:

$-x=-2250$

$\therefore x=2250$

Thus, the amount invested at 5% is $2250

Therefore, the amount invested at 6% will be $(6000-2250)=$3750

6 0

3 years ago

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are rando

Allushta [10]

Answer:

The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744

Solution:

Total number of coils = number of good coils + defective coils = 88 + 12 = 100

p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) $\times$ p(getting 2 good coils for second selection)

p(first selection) = p(second selection) = $\frac{\text { number of good coils }}{\text { total number of coils }}$

Hence, p(getting 2 good coil for two selection) = $\frac{88}{100} \times \frac{88}{100} =\bold{0.7744}$

5 0

3 years ago

Julie wanted to earn money to attend a basketball camp. She started with a gift of money from her grandparents and then saved $2

adoni [48]

The equation would be y = 25x + 50

In order to find this equation, we need to know how much the gift from her grandparents was. To do so, we have to find out how much she's saved from dog walking.

Since she saves $25 a month for 7 months, we can find the total amount as:

25*7 = 175

Then we can subtract that from the total she has saved to find the amount for the gift.

225 - 175 = 50

Finally, we put the amount per month in the equation with the gift as the y intercept to create the equation above.

6 0

3 years ago

Round 48,382 to the nearest 100: 1,000: 10,000:

densk [106]

100: 48400
1000:4800
10000:50000

4 0

3 years ago