3p + q = 8 and
3p - q = 10
then p+q is?​

Solution,

Principal (P)=$4.62

Rate(R)=7%

Time(T)=2 years

Interest (I)=?

Now,

Interest=P*T*R/100

= 4.62*7*2/100

=64.68/100

=$0.6468

Hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

[tex]principal(p) = 4.62 \\ rate(r) = 7 \\ time(t) = 2[/tex]

[tex]simple \: \: \: \: = \frac{prt}{100} \\ interest \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{4.62 \times 7 \times 2}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.6468 \\ [/tex]

The value of the given expression √121 + ∛125 would be 16 which is determined by the square root and cube root properties.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The expression below which is given in the question

⇒ √121 + ∛125

Here 11×11 = 121 and 5×5×5 = 125

⇒ √(11×11) + ∛(5×5×5)

By the square root and cube root properties to get

⇒ 11 + 5

Apply the addition operation,

⇒ 16

Thus, the value of the given expression √121 + ∛125 would be 16.

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Answer: H' = (-4, 4)

Step-by-step explanation:

H = (-4, -4)

reflect across y = -2:

H is 2 units below y = -2 so when reflected it will be 2 units above y = -2

--> the x-coordinate doesn't change    the new y-coordinate is: 0

H' = (-4, 0)

reflect across y = 2:

H' is 2 units below y = 2 so when reflected it will be 2 units above y = 2

--> the x-coordinate doesn't change    the new y-coordinate is: 4

H'' = (-4, 4)

Answer:

The answer is B. In step one he should have added 3 negative x-tiles to both sides.

See attachment for complete question.

Answer:

The correct option is B.

In step one he should have added 3 negative x-tiles to both sides.

Step-by-step explanation:

Given the equation

3x + 1 = 4x + (-4)

Adding 3 negative x tiles, we have

3x + 1 + (-3x) = 4x + (-4) + (-3x)

1 = x - 4

x = 1 + 4 = 5

Answer:

I think that the answer is C

Answer: D. h(x) = 3x - 6

Step-by-step explanation:

edge2021

Answer:

[tex] \boxed{p = 4} [/tex]

Step-by-step explanation:

[tex] = > {p}^{2} = 16 \\ \\ = > {p}^{ \cancel{2}} = {4}^{ \cancel{2}} \\ \\ = > p = 4 \\ \\ \\ OR \\ \\ \\ = > {p}^{2} = 16 \\ \\ = > {p}^{2} = {4}^{2} \\ \\ = > p = \sqrt{ {4}^{2} } \\ \\ = > p = {4}^{ \cancel{2} \times \frac{1}{ \cancel{2}} } \\ \\ = > p = 4 [/tex]

Using the given equation, we know that the square root of p = 16.

Because of this, we also know that the square root of 16 will equal p.

[tex]\sqrt{16} = 4[/tex]

Therefore, p is equal to 4, or p = [tex]\sqrt{16}[/tex].

Hope this helped! :)

Answer:

6 hours

Step-by-step explanation:

Let both of them plan for  t hours to plant 111 trees n t hours

Melissa  can plants 10 trees in 1 hour

in t hours she can plant 10 t trees

Jane plants 17 tree in 2 hours

in one hour Jane can plant 17/2 trees

in t hours she can plant (17/2)t  trees.

Total trees planted by both of them in t hours in terms of t will be

10t + (17/2)t

= (10t*2 + 17t)/2

= (20t + 17t)/2

= 37t/2

but it is given that they planted 111 trees together

so 37t/2 should be equal to 111

37t/2 = 111

=> 37t = 111*2 = 222

=> t = 222/37 = 6.

Thus, it takes 6 hours for both of them to plant 111 trees together.

Answer:

63

Step-by-step explanation:

w(x) = 2x³ + 3x

Put x as 3.

w(3) = 2(3)³ + 3(3)

Solve for the power.

w(3) = 2(27) + 3(3)

Multiply the terms.

w(3) = 54 + 9

Add both the terms.

w(3) = 63

Answer:

I hope it helps :)

Step-by-step explanation:

[tex]w(x) = 2x^3+ 3x\\w(3)\\w(3) = 2(3)^3 +3(3)\\w(3) = 2(27) +9\\w(3) = 54+9\\w(3) =63[/tex]

Answer:

The x-intercept is (2.25,0).

The y-intercept is (0,18)

Answer to the question:

2.9m

Answer:

18°

Step-by-step explanation:

First, we find the angle of the large piece of paper that is 1/4 of a circle.

The angle in a circle is 360°. The angle in 1/4 of a circle is:

1/4 * 360 = 90°

He cuts the paper into five equal parts from the center point of the circle. That means the angle was divided into 5 parts:

1/5 * 90 = 18°

Each part has an angle of 18°,

Answer: it's 18

Step-by-step explanation: 18 is the answer hope this helps

Answer:

2/3, 7/10, 11/15 and 4/5

Step-by-step explanation:

2/3=0.66

7/10=0.7

11/15=0.73

4/5=0.8

Answer: 136 sq. m.

Step-by-step explanation:

Area = (base x height ) / 2

= (17x16)/2

= 272/2 = 136

Answer:

60m/s

Step-by-step explanation:

velocity of the while moving is 30 m/s and it becomes 90 m/s after speeding up at constant rate. so the average velocity of the journey is

[90+30] /2

=60 m/s

Answer:

The first pair.

Step-by-step explanation:

3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.

Step-by-step explanation:

2x + 3 = x + 1

x + 3 = 1

x = -2

Answer:

x= -2

Step-by-step explanation:

2x+3=x+1

   -3     -3

------------------

2x = x - 2

-x    -x

----------------

x= - 2

Answer:

3. 10m

4. 14m

Step-by-step explanation:

Angle inequality rule: A triangle can only form if it's 2 shortest sides add up to have MORE length than it's longer side.

1. 23 m

2. 4m

3. 10m

4. 14m

5. 7m

1 doesn't follow the angle inequality rule.

2 doesn't follow the angle inequality rule.

3 can be the third side.

4 can be the third side

5 doesn't follow the angle inequality rule.

Answer: $169,500

Step-by-step explanation:

The mean simply means the average price of a set of a numbers that are given. For one t calculate the mean, one has to add the numbers that are given and then divide them by the amount of numbers.

I'm the case above, the numbers given are $165,000, $188,000, $175,000, and $150,000.

Mean = ($165,000 ,+ $188,000 +$175,000 + $150,000) ÷ 4

= $678,000/4

= $169,500

Answer:

c) $169,500

Step-by-step explanation:

I just took the quiz.

Answer:

250 girls in the school and 370 students all total

Step-by-step explanation:

250 girls are in the school and 390 total students in the school.

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

The ratio of boys to girls in a school is 12:25

Let, No. of boys in the school = 12x

No. of girls in the school = 25x

Total students in the school = 12x+25x = 39x

Given, there are 120 boys

So, 12x = 120

x = 10

No. of girls in the school = 25x = 25(10)

No. of girls in the school = 250

Total students in the school = 39x = 39(10)

Total students in the school = 390

Hence, 250 girls are in the school and 390 total students in the school.

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The area of a triangle is 1/2 x base x height.

The base is 2 , the height is 4.

Area = 1/2 x 2 x 4 = 4 square cm.

The area of a square is s^2

S is the length of a side, which is 2

Area = 2^2 = 4 square cm

Both shapes have an area of 4 square cm

Answer: 4.5.

Step-by-step explanation for the triangle:

A = 1/2 ⋅ b ⋅ h  A = 1/2 ⋅ 3 ⋅ 3  A= 4.5

                       OR

Step-by-step explanation for the square:

A = a^2 = 2^2 = 4 = 4.5

Answer:

y=8x+6

Step-by-step explanation:

m=slope

c=y-intercept

y=mx+c

y=8x+6

Answer:

y=8x+6

Step-by-step explanation:

Answer:

1) 229 Teens

2) (12,-2)

Answer:

11

Step-by-step explanation:

14-3 = 11

you have 14 apples and you eat 3 of them. wow! now you have 11 apples!

Answer:

1200

Step-by-step explanation:

i=prt is the interest equation however we must find the total because it says After 2 years

first lets do 1000*.1*2=200

1000+200=

1200

Step-by-step explanation:

x × x = 49 there are two values for x

1) 7 because 7 × 7 = 49

2) -7 because -7 × -7 = 49 the square value for negative numbers is positive.

Answer:

1. 0.7

2. 0.25

3. -0.3

4. 0.125

5. 0.23

6. 0.64

7. -0.6

Step-by-step explanation:

First divided those fractions, then you got those repeating decimals.

Answer:

1.) 0.7

2.) 0.25

3.) -0.3

4.)0.125

5.)0.233 (bar on top of threes)

6.)0.63 (bar on top of 6 and 3)

7.)-0.6

Step-by-step explanation:

1.) 7 divided by 10

2.)1 divided by 4

3.) -3 divided by 10

4.)1 divided by 8

5.)7 divided by 30

6.)7 divided by 11

7.)-3 divided by 5

Answer:

-13

Step-by-step explanation:

(5+1)²-(11+3²)÷4

(6)-14^2 divided by 4

36-14^2/4

13-196/4

13-49

-13

Answer & Step-by-step explanation:

(5 + 1)² - (11 + 3²) ÷ 4

Following the rules of order of operation, the first thing we have to do is the operations in the parentheses ().

(6)² - (11 + 3²) ÷ 4

Next, solve for your exponents.

36 - (11 + 9) ÷ 4

Next, do the operations in the parentheses ().

36 - (20) ÷ 4

Now, divide -20 by 4.

36 - 5

Subtract 5 from 36.

31

So, your final answer to this equation is 31.

Answer:

Including the princpal and two counselors, only 40 students will be able to attend each meeting.

If the principal and two counselors dont attend, then 41 students can attend with one of their parents.

Answer: W= 40cm

Step-by-step explanation:

16*10

A=160

160/4

=40

Answer: w=40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total surface area of a cone [tex]S[/tex] = [tex]\pi r^{2}+\pi rl\\[/tex]

Since the diagram is half of a cone, its surface area will be [tex]S = \frac{\pi r^{2} +\pi rl}{2}[/tex]

r = radius of the cone

l = slant height

From the diagram diameter of the cone = 16m;

r = 16/2 = 8m

l = 17m

[tex]S = \frac{\pi (8)^{2} +\pi (8)(17)}{2}\\S = \frac{64\pi + 136\pi }{2} \\S = 32\pi + 68\pi \\S = 100\pi cm^{2}[/tex]