How many 1/4
gram dosages of medication can be obtained from a container
holding 3/8
gram of the medication?

Answer:

A is true. (3/5)³ has base 3/5

C is true. (3/5)³ has exponent 3.

D is true. (3/5)³ = 3/5 × 3/5 × 3/5.

G is true. (3/5)³ = 3/5 × 3/5 × 3/5 = 27/125

Answer:

n=18 sides

Step-by-step explanation:

Given: Exterior angle =20°

Find: sides of a regular polygon

Solution: θ=(360°)/side , θ=20°

Let n= number of sides

θ=360°/n

20=360/n

n=360/20

n=18

Answer:

[tex] {x}^{2} + ( \frac{ \sqrt{3} }{2} ) {}^{2} = 1 \\ {x}^{2} = \frac{1}{4} \\ x = \frac{1}{2} \: \: or( \frac{1}{2} ) \\ x > 0 \\ therefore \: \: x = \frac{1}{2} [/tex]

Answer:

[tex]x=-\frac{1}{2}[/tex]

Step-by-step explanation:

equation of a circle:  [tex](x - h)^2+(y-k)^2=r^2[/tex]

where (h, k) = center and r = radius

From inspection, we can see that the center of the circle = (0, 0)

and the radius = 1

[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]

[tex]\implies x^2+y^2=1[/tex]

Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex]  into  [tex]x^2+y^2=1[/tex]  and solve for [tex]x[/tex]:

[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]

[tex]\implies x^2+\frac{3}{4}=1[/tex]

[tex]\implies x^2=\frac{1}{4}[/tex]

[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]

[tex]\implies x=\pm\frac{1}{2}[/tex]

As point P is in quadrant 2, [tex]x[/tex] is negative, so [tex]x=-\frac{1}{2}[/tex]

Answer:

$3

Step-by-step explanation:

Let the cost of an eraser, a pen and a ruler be $e, $p, and $r respectively.

Given:

e +2p +r= 13 -----(1)

2e +p +r= 11 -----(2)

3e= 2r -----(3)

(1) ×3:

3e +6p +3r= 39 ----(4)

Substitute (3) into (4):

2r +6p +3r= 39

6p +5r= 39 -----(5)

(2) ×3:

6e +3p +3r= 33 -----(6)

Substitute (3) into (6):

2(2r) +3p +3r= 33

4r +3p +3r= 33

3p +7r= 33 -----(7)

Let's rewrite equations (5) &(7) so it's easier to compare them:

6p +5r= 39 -----(5)

3p +7r= 33 -----(7)

We can eliminate the term p to find the value of r. This can be done by making sure that the coefficient of p is equal in both equations.

(7) ×2:

6p +14r= 66 -----(8)

(8) -(6):

6p +14r -(6p +5r)= 66 -39

Expand:

6p +14r -6p -5r= 27

9r= 27

r= 27 ÷9

r= 3

Thus, the cost of a ruler is $3.

Answer:

i dont know that try looking it up

Answer:

13/25

Step-by-step explanation:

number of black balls = 4

number of white balls = 6

⇒ total number of balls = 10

As the balls are always replaced after being picked:

Therefore,

P(W) and P(W) = 4/10 x 4/10 = 16/100 = 4/25

P(B) and P(B) =  6/10 x 6/10 = 36/100 = 9/25

P(W and W) or P(B and B) = 4/25 + 9/25 = 13/25

[tex]\bold{\huge{\orange{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

According to the question,

Cost of 1 share of ABC company = $18.75

Therefore,

Cost of 140 shares purchased by Jan in the ABC company

[tex]\sf{ = 140 × 18.75 }[/tex]

[tex]\sf{ = 2625\: dollars }[/tex]

Now,

For next 3 days, the value of share declined

[tex]\sf{ = (1 + 1.75 + 1.50)dollars }[/tex]

[tex]\sf{ = 4.25 \: dollars }[/tex]

Therefore,

The value of shares after 3 days will be

[tex]\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}[/tex]

[tex]\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}[/tex]

[tex]\bold{\red{ = 18.75\: dollars}}[/tex]

Hence, The value of share after 3 days will be $18.75 .

Answer:

See below.

Step-by-step explanation:

The answer is 0.02146500052, or 0.02.

-hope it helps

(Thanks.)

Answer:

32 cars

Step-by-step explanation:

If each class has 26 students, we can multiply the number of classes, 6, by the amount of students in each class, to find the total amount of students going on the field trip.

6 * 26 = 156 students

Each vehicle can hold 5 students. To find the amount of vehicles needed to transport all the children, we need to divide the number of students by 5.

156 / 5 = 31.2 vehicles

I don't think they plan on driving 0.2 of a vehicle, so we would have to round. We can't round down because if we did, there would be one student left.

31 * 5 = 155 students

Unless the student plans on biking there, they would have to have 32 cars ready to drive the students to the field trip.

Answer:

29.4 m/s

Step-by-step explanation:

Use v = at with a = 9.8 m/s^2 and t = 3.00 sec

v = 9.8 * 3.00 = 29.4 m/s

Answer:

I believe it is the "square root" sign

Answer:

distributive

Step-by-step explanation:

Answer:

$100.87 (to the nearest cent)

Step-by-step explanation:

1 gallon = 27 miles

⇒ number of gallons needed to drive 838 miles = 838 ÷ 27 = 31.0370370... gallons

1 gallon = $3.25

⇒ total cost to drive 838 miles = 3.25 x 838/27 = $100.87 (to the nearest cent)

Answer:

Step-by-step explanation:

The sale price = Initial Cost - 15% of the initial Cost

The sale price = 1250 - 15/100 * 1250

The sale price = 1250 - 187.5

The Sale Price = 1062.5

Now you add on the sales tax

Cost with Sales Tax = 1062.50 + 6.5/100 * 1063

Cost with Sales Tax = 1062.50 + 69.06

Cost with Sales Tax = 1131.56 dollars.

Answer:

70°

Step-by-step explanation:

As, the sum of the angles in a straight line is 180°.

<E F C + < E F B = 180

70 + < E F B = 180

< E F B = 180 - 70

< E F B = 110°

Also, we know that the sum of the interior angles in a quadrilateral is 360°

So,

< E A B + < A E F + < E F B + < F B A = 360

90 + 90 + 110 + x = 360

290 + x = 360

x = 360 - 290

x = 70°

Hope this helps you :-)

Let me know if you have any other questions :-)

Solution:

Simplify the inequality one by one:

This means that...

Hoped this helped!

Required solution :

First solving for -10 < 5 + x

⇒-10 - 5 < x

⇒ -15 < x

Now for 5 + x < -5

⇒ x < -5 - 5

⇒ x < -10

Therefore,

Answer:

behold... the answer is..... 110! :)

Answer:

31.42cm

Step-by-step explanation:

Answer. We know that C = πd. Since the diameter is 10cm, we know that C = π x 10cm = 31.42cm (to 2 decimal places).

Answer:

778688

Step-by-step explanation:

because you do 92 times 92 times 92!

please mark brainliest i need 2 more

Explanation:

"5 hours 50 minutes" is close to "6 hours"

Let's subtract 6 hours from 17:25

It would drop us to 11:25 since 17-6 = 11.

When we subtracted 6 hours, we subtracted 10 extra minutes that we shouldn't have done. To fix this, add 10 minutes on to go from 11:25 to 11:35

Answer:

The traveler started at 11:35

Step-by-step explanation:

The question already gives you the time that the traveler arrived which is 17:25 and how long it took them to get to the desired location which was 5 hours 50 minutes. So what you need to do is subtract the time the traveler arrived to how long it took to get there.

Equation:

17:25 - 5:50

= 11:35

Answer:

Here is your answer

Step-by-step explanation:

Question: f(x)= x³-5x²-x

Answer:. f(3)=3³-5 x 3³ -3

f(3)=27 -135 -3

f(3)=27-138

f(3)=-111

hope this helps you

please mark me brainliest

have a great day :)

okay put heat on the left

Step-by-step explanation:

Answer:

The heat is rising is progressive tense.

The steak was cooking nicely is perfect tense.

A day at the mall will be boring is progressive tense.

Ed will have finished by now is perfect tense.

I have weeded the garden is perfect tense.

Eva had read that mystery novel is perfect tense.

Step-by-step explanation:

The progressive tenses are used to indicate an unfinished action.  The perfect tenses describe a finished action, beginning in the past.

Answer:

SIMPLE INTEREST=PRT/100

P=300

R=5%

T=3

SI=300×5×3/100

SI=3×5×3

SI=45

Answer:

Principal(P) = R300 rate( r )=5% n=5 years

Total amount

= P(1+r/100)^n

= 300(1+5/100)^3

=R347. 2875

Interest

= Total amount - Principal amount

= 347.2875 - 300

= R47.2875

= R47.30( rounded up to 2

decimal places)

Answer:

352.45 + 1.087x ≤ 575

Step-by-step explanation:

The most you can spend is $575, so the total you spend must be ≤ 575.

You already have a total for the pants of $352.45.

352.45 + price of hoodies ≤ 575

Let x = total price of the hoodies before tax.

The price of the hoodies with tax is

x + 8.7% of x = x + 0.087x = 1.087x

The inequality is

352.45 + 1.087x ≤ 575

Answer:

x= 7/12

Step-by-step explanation:

3/4- 1/6

18/24- 4/24

14/24

7/12

Answer:

The graph is not visible!

You could have positive or negative correlation.

Hope this helps!