On Monday, Courtney spent 14 minutes solving 1 math problem and 2 biology problems. On Tuesday, Courtney spent 16 minutes solving 2 math problems and 1 biology problem. Write and solve a system of equations to find how long it takes Courtney to solve each math problem and each biology problem

Answer:

50.27

Step-by-step explanation:

remember that the circumference of a circle is 2πr

so 3.15x8 and then multiply by two

Answer:

200.96 ft²

Step-by-step explanation:

Step 1: Define/formula

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]a=\pi r^2(3.14*radius*radius)[/tex]

Step 2: Solve

According to the word problem, the radius is 8.

From here, we plug the numbers into the formula.

[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]

Step 3: Conclude

Therefore, the area of this circle is 200.96 ft.²

Answer:

471.24 cubic inches

Step-by-step explanation:

First, get the radius.

10 divided by 2

Now do 5 times 5 to get 25

Now do 25 times 6 to get 150

Lastly, multiply 150 by 3.14 to get 471.24 (rounded)

Answer:

352.

Step-by-step explanation:

The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.

So the sum = 2*4 + 43*8

= 352.

Answer:

D

Step-by-step explanation:

15^2 = 9^2 + x^2

x^2 = 15^2 -9^2

x^2 = 225-81

x^2 = 144

x = 12

Answer:

80

Step-by-step explanation:

110-180=70

30+70=100

100-180=80

Answer:

I think the answer is 80

Step-by-step explanation:

Answer:

the answer is 0

hope it helps have a nice dayyy

We need to simpify the given expression. The given expression to us is ,

Given Expression :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]

Using Identity :-

[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]

So that :-

[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]

We have :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]

Hence the required answer is -1/4.

Answer:

I think it is the second one

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

100% ÷ 4 = 25%. 3 questions correct= 75% and one wrong which is 25%. 100-25=75

Answer:

75%

Step-by-step explanation: 100 divided by one fourth is 75 therefore leaving that as your grade.

I'll help.

A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?

it's easy, you only need to divide 15 by 5.

Like this :

15÷5= 3

• because 5×3 = 15 , so you just need to flip it over

so, the student need 3 minutes to solve 5 problems

the answer is F

or x=3

Hope this helped!

Can i have the situations?

Someone interviewing the art club at a school to see how many students are going to the art festival.

The art club students are already interested in art, and there is a great chance they will all go, or will all be interested. In order to have an unbiased sample, they could ask every third student that walks through the front doors.

Hope this helped!

Answer:

26.563, 1.977

Step-by-step explanation:

I will be honest I'm not 100% sure but i believe that the total distance all together is 26.563. I simply added all the distances.

Jada ran 1.977 miles further than Noah.

I'm so sorry if im wrong hope this helps though <3

Answer:

= 22 units

Step-by-step explanation:

Well, QS and RT are equal, so...

5x-3=3x+7

-3x -3x

2x-3=7

+3 +3

2x=10

÷2 ÷2

x=5

...and to find a side length...

3x+7=15+7=22

= 22 units

Answer:

8×ED=3×15

ED=45/8

the radius is the half of the diameter

so its 45/16

Answer:

[tex] \frac{ae}{be} = \frac{ce}{de} = \frac{bc - be}{ad - ae} \\ \\ = > \frac{8}{3} = \frac{15 - 3}{ad - 8} \\ \\ < = > \frac{8}{3} = \frac{12}{ad - 8} \\ \\ = > ad - 8 = \frac{12 \times 3}{8} = 4.5 \\ \\ < = > ad = 4.5 + 8 = 12.5 \\ \\ = > r = 12.5 \div 2 = 6.25[/tex]

Answer:

well it stopped on the 8 intercept means stop or cut off so

Step-by-step explanation:

i's say 8

Answer:

x = 51.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

length of Legs of the right angle triangle = 22 (unit) and 26 (unit)

To find the length of hypotenuse of the right angle triangle, we have to use Pythagoras property

Lets keep hypotenuse as "h" and one leg as  "a" and another as "b"

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]h^{2}[/tex]

[tex]22^{2}[/tex] + [tex]26^{2}[/tex] = [tex]h^{2}[/tex]

484 + 676 = [tex]h^{2}[/tex]

[tex]h^{2}[/tex] = 1,160

h = [tex]\sqrt{1,160}[/tex]

h = 34.05 (unit)

Answer:

distributive

Step-by-step explanation:

you are distributing 5(d+1) into 5d +5

Answer:

answer: 12

Step-by-step explanation:

You get 12 by doing base × height. So our base in this problem is 2.5 and our height is 4.8 so

2.5 × 4.8 = 12 Hope this helps!

Answer:

20 cups of applesauce

Step-by-step explanation:

8 ounces = 0.5 pounds

Pounds of apples : cups of applesauce

0.5 pounds : 1 cup = 10 pounds : x cups

0.5/1 = 10/x

0.5*x = 1*10

0.5x = 10

x = 10/0.5

x = 20 cups of applesauce

10 pounds of apples will make 20 cups of applesauce

Given:

Total number of marbles = 26

Number of blue marbles = 13

Number of red marbles = 10

Number of yellow marbles = 3

To find:

The probability of getting a blue marble then a red marble (without replacement).

Solution:

Total number of marbles = 26

Number of blue marbles = 13

Probability of getting a blue marble is first draw is:

[tex]P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]

[tex]P(Blue)=\dfrac{13}{26}[/tex]

[tex]P(Blue)=\dfrac{1}{2}[/tex]

After drawing 1 marble, the remaining number of marbles in the bag is 25.

Probability of getting a red marble is second draw is:

[tex]P(Red)=\dfrac{\text{Number of red marbles}}{\text{Remaining number of marbles}}[/tex]

[tex]P(Red)=\dfrac{10}{25}[/tex]

[tex]P(Red)=\dfrac{2}{5}[/tex]

Now the probability of getting a blue marble then a red marble (without replacement) is:

[tex]P(\text{Blue then red})=P(Blue)\times P(Red)[/tex]

[tex]P(\text{Blue then red})=\dfrac{1}{2}\times \dfrac{2}{5}[/tex]

[tex]P(\text{Blue then red})=\dfrac{1}{5}[/tex]

Therefore, the probability of getting a blue marble then a red marble (without replacement) is [tex]\dfrac{1}{5}[/tex].

Answer:

z = 113

y = 31

Step-by-step explanation:

j || n and line a is their transversal. (given)

Therefore,

z° = 180° - 67° (exterior angles on the same side of transversal)

z°= 113°

z = 113

(5y - 88)° = 67° (exterior alternate angles)

5y - 88 = 67

5y = 67 + 88

5y = 155

y = 155/5

y = 31

Answer:

157

Step-by-step explanation:

I actually forgot the rules as to why it is, but you can clearly see that they are identical to each other!

Answer:

[tex] \displaystyle GH = 2 \sqrt{30} [/tex]

[tex] \displaystyle FH = 2 \sqrt{10} [/tex]

[tex] \displaystyle m \angle G = {30}^{ \circ} [/tex]

Step-by-step explanation:

we are given a right angle triangle

it's a 30-60-90 triangle of which FH is the shortest side

remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus

our equation is

[tex] \displaystyle 2FH=4\sqrt{10}[/tex]

divide both sides by 2

[tex] \displaystyle\frac{2FH}{2}= \frac{ 4 \sqrt{10} }{2}[/tex]

[tex] \displaystyle FH =2 \sqrt{10}[/tex]

in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle

as we want to figure out GH we'll use sin function

remember that,

[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex]

let our opp, hypo and [tex]\theta[/tex] be GH, 4√10 and 60° respectively

thus substitute:

[tex] \displaystyle \sin( {60}^{ \circ} ) = \frac{GH}{4 \sqrt{10} } [/tex]

recall unit circle:

[tex] \displaystyle \frac{ \sqrt{3} }{2} = \frac{GH}{4 \sqrt{10} } [/tex]

cross multiplication:

[tex] \displaystyle 2 GH = 4 \sqrt{10} \times \sqrt{3} [/tex]

simplify multiplication:

[tex] \displaystyle 2 GH = 4 \sqrt{30} [/tex]

divide both sides by 2:

[tex] \displaystyle GH = 2 \sqrt{30} [/tex]

Recall that, the sum of the interior angles of a triangle is 180°

therefore,

[tex] \displaystyle m \angle G + {60}^{ \circ} + {90}^{ \circ} = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle m \angle G + {150}^{ \circ} = {180}^{ \circ} [/tex]

cancel 150° from both sides

[tex] \displaystyle m \angle G = {30}^{ \circ} [/tex]

Answer:

m<RPQ = 22°

Step-by-step explanation:

Given:

m<SRQ = 90°

PS = PQ

m<SQR = 46°

Required:

m<RPQ

Solution:

m<SQR + m<SRQ + m<RSQ = 180°

Substitute

46° + 90° + m<RSQ = 180°

m<RSQ = 180° - 136°

m<RSQ = 44°

Find m<PSQ:

m<PSQ = 180° - m<RSQ (Angles on a straight line

m<PSQ = 180° - 44° (Substitution)

m<PSQ = 136°

Find m<RPQ:

∆QSP is an isosceles triangle with two equal base angles. Therefore:

m<RPQ = ½(180° - 136°)

m<RPQ = 22°