Carmen and Linda share 70 candies. If Carmen gets four more candies than Linda gets, how many candies does Linda get?

Let it be x

Using angle sum theory

[tex]\\ \sf\longmapsto 50+30+x=180[/tex]

[tex]\\ \sf\longmapsto 80+x=180[/tex]

[tex]\\ \sf\longmapsto x=180-80[/tex]

[tex]\\ \sf\longmapsto x=100[/tex]

Answer:

n-35=40

n=75 (the amount she started with)

Step-by-step explanation:

Answer:

1

5

4

2

3

Step-by-step explanation:

1 combines the sets A and B. that symbol there stands for U like "union". so, all values of x, where x is either < 1 or >= 5.

2 is again a union. A and C are combined. C contains only one element : x=5.

3 is again a union. B and C are combined. but the element of C (x=5) is already part of B (x>=5), so the union does not change anything, the result is simply B again.

4 is doing a "cross section" between the sets A and B. only elements that are in both sets are in the result. but x < 1 and x >= 5 don't have any elements in common. so, the result is an empty set.

5 is again a cross section. the only shared element between B and C is x=5.

Answer:

[tex]9(c+5)=9c+45[/tex]

Step-by-step explanation:

Multiply 9 by the variable and the number

Answer:

The area of the circle is 100 square units.

Step-by-step explanation:

We are given that the circumference of a circle is 20π, and we want to determine its area.

Recall that the circumference of a circle is given by the formula:

[tex]\displaystyle C = 2\pi r[/tex]

Substitute:

[tex]20 \pi = 2 \pi r[/tex]

Solve for the radius:

[tex]\displaystyle r = \frac{20\pi}{2\pi} = 10[/tex]

The area of a circle is given by:

[tex]\displaystyle A = \pi r^2[/tex]

Since the radius is 10 units:

[tex]\displaystyle A = \pi (10)^2[/tex]

Evaluate:

[tex]\displaystyle A = 100\pi\text{ units}^2[/tex]

In conclusion, the area of the circle is 100 square units.

Answer:

1

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]

[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]

[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]

[tex]\\ \sf\longmapsto 5x=11[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]

Answer:

19 = 7z - 2z

19 = 5z

z = 19/5

Hope this helps!

Answer:

z = 3.8

Step-by-step explanation:

19 = 7z - 2z

19 = 5z

19/5 = z

3.8 = z

Answer:

B. 970,000

Step-by-step explanation:

Move the decimal 5 places to the right, since the exponent is a positive 5.

9.7 x 10⁵ = 970,000.

If it is a negative exponent, you would have to move the decimal to the left.

Answer:

it is an absolute function

or more precisely

y = - I x - 1 I + 8  (shown in the screenshot)

Answer:

D

Step-by-step explanation:

tan(theta) = y/x

tan(theta) = (sqrt(2)/2)/(sqrt(2)/2)=1

Answer:

positive

Step-by-step explanation:

To solve this, we can look at the unit circle (see attached photo), We know:

(0,1) = π/2

(-1, 0) = π

(0, -1) = 3π/2

(1, 0) = 0

Across the circle, we know that π/3 is between 0 and π/2. Therefore, as the unit circle line between that is positive in the x direction (cos), we can say that cos(π/3) is positive

Answer:

x=24

Step-by-step explanation:

Hi there!

We are given the following proportion:

[tex]\frac{2}{10}=\frac{3}{x-9}[/tex]

And we want to solve for x.

First, let's reduce [tex]\frac{2}{10}[/tex], as reducing fractions typically makes the process easier

[tex]\frac{2}{10}[/tex] is the same as [tex]\frac{1}{5}[/tex]

So:

[tex]\frac{1}{5}=\frac{3}{x-9}[/tex]

We can't do anything to [tex]\frac{3}{x-9}[/tex], but that's okay.

Now we can cross multiply, as this is a proportion

Multiply x-9 by 1 and 3 by 5

1(x-9)=3(5)

Multiply

x-9=15

Now this is an equation

Our goal is to isolate x on one side

So let's add 9 to both sides to remove it from the left side

x-9=15

 +9 +9

_________

x=24

Hope this helps!

Answer:

24

Step-by-step explanation:

Cross multiply:

2(x - 9) = 2x - 18

3(10) = 30

2x-18 = 30

   +18   +18

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

  2x = 48

 -----   -----

   2       2

     x = 24

Hope this helped.

Answer:

4

Step-by-step explanation:

120/30 = 4

Since a bus can hold 30 students, that means we need 4 busses to hold all 120 students.

Answer:

4.9...Maybe???

Step-by-step explanation:

just writing this to post my answer

Find the circumference of the pond:

Circumference = 2 x pi x radius

Circumference = 2 x 3.14 x 7.7 = 48.356 m

You want to go around 3 times so multiply the circumference by 3:

48.356 x 3 = 145.068m

Rounded to 1 decimal = 145.1m

Answer:

2 2

1 -3

Step-by-step explanation:

2b=[4 4]

2 -6

b=[4/2 4/2]

2/2 -6/2

b=[2 2]

1 -3

Answer:

A. 13

Step-by-step explanation:

2(x - 3) + 3y

2(5 - 3) + 3×3

2× 2 + 3×3

4 + 9

13

Answer:

The correct answer is A

Step-by-step explanation:

2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)

next,

you would solve it

2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3

finally you solve it

10-6 = 4 +9

= 13!

Answer:

b) 7.89*10^4

c) 3.15*10^3

Step-by-step explanation:

2-42)

the coefficient in scientific notation (the number that is not 10^x) has to be greater or equal to 1 and less than 10. so c and b are incorrect.

b) 0.789*10^5

c) 31.5*10^2

b) 0.789*10^5

in order to make 0.789 greater than 1, I would just multiply it by 10. shown below

=0.789*10*10*10*10*10

=7.89*10*10*10*10

=7.89*10^4

c) 31.5*10^2

same concept but this time divide by 10 to make 3.15 which will add another *10 to the exponent

=31.5*10*10

=3.15*10*10*10

=3.15*10^3

Answer:

Step-by-step explanation:

I forgot

Answer:34/45

Step-by-step explanation:

Answer: exponential growth

Step-by-step explanation:

Answer:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y=0.Horizontal Asymptote: y=0.

Answer:

B) 9

Step-by-step explanation:

Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:

Dividend ÷ Divisor = Quotient

18 ÷ 2 = 9

The calculation of the probability and interpretation of the difference in mean and the relation to level of significance between and the treatment and control groups are as follows;

Question 1;   Part A

The probability that the treatment group mean is greater than the control group mean by 8 points or more is 3.6%

The completed statement is as follows;

The significance level is set at 5%, and the probability of the result is 3.6%, which is lower than significance level. The result is statistically significant

Part B

The result is statistically significant, which implies that spraying the corn plant with the new type of fertilizer does increase the growth rate

Question 2; Part A

The probability of the treatment group mean is lower than the control group mean by 15 points or more is 7.8%

The completed statement is as follows;

The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is not statistically significant

Part B;

The result is not statistically significant which implies that wearing a watch does not make people manage their time better

The reason for the above solutions is as follows;

Question 1;

The known parameters;

The significance level of the test, α = 5%

The frequencies of the difference in mean between the treatment and control groups given in the table

The number of randomizations, ∑f = 1,000

The required parameter

The probability of the treatment group mean is greater than the control group mean by 8 points or more

The significance of the result

The comparison between the given level of significance and the probability

Method

We find the probability for the required difference in mean from the data given in the table

The probability that the treatment group mean is greater than the control group mean by 8 points or more is given by the following formula;

[tex]\mathbf{P(8 \ or \ more) = \dfrac{\sum f(8 \ or \ more)}{\sum f}}[/tex]

From the table, we have;

∑f(8 or more) = 26 + 8 + 2 = 36

∑f = 1 + 10 + 28 + 58 +...+ 114 + 57 + 28 + 8 + 2 = 1,000

Therefore;

[tex]P(8 \ or \ more) = \dfrac{36}{1,000} = 0.036 = 3.6\%[/tex]

The probability, P(8 or more) 3.6%

Given that the significant level, α = 5% is higher than the probability of 3.6%, the result is statistically significant

Part B

The true statement is that the result is statistically significant, which implies that spraying the corn plant with the new type of fertilizer does increase the growth rate

Question 2;

The known parameters are;

The significance level of the test, α = 5%

The frequencies of the difference in mean between the treatment and control groups given in the table

The number of randomizations, ∑f = 1,000

The required parameter

The probability of the treatment group mean is lower than the control group mean by 15 points or more

The significance of the result

The comparison between the given level of significance and the probability

Method

Using the method from Question 1, we have;

Part A

[tex]\mathbf{P(15 \ or \ more) = \dfrac{\sum f(15 \ or \ less)}{\sum f}}[/tex]

From the table, we have;

∑f(15 or more) = 50 + 18 + 10 = 78

∑f = 10 + 18 + 50 + 127 + 195 + 226 + 180 + 117 + 48 + 17 + 12 = 1,000

Therefore;

[tex]P(15 \ or \ more) = \dfrac{78}{1,000} = 0.078 = 7.8\%[/tex]

The probability, P(15 or more) = 7.8%

Given that the significant level, α = 5% is lower than the probability of 7.8%, the result is not statistically significant

Therefore, we have;

The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is not statistically significant

Part B

The true statement is that the result is not statistically significant which implies that wearing a watch does not make people manage their time better

Learn more about hypothesis testing here;

https://brainly.com/question/4232174

Question 1;  

Part A

The significance level is set at 5%, and the probability of the result is 3.6%, which is less than the significance level. The result is statistically significant

Part B

A) The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Question 2;

Part A

The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is NOT statistically significant

Part B;

B) The result is not statistically significant, which implies that wearing a watch does not help people manage their time better.

Answer:

Equation 5x+15=180°

x=33°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

Form an equation:

4x+15+x=180° (Both of the red and blue angles add up to make the straight line).

Collect like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

Put it back into an equation:

5x+15=180°

To find x, you would have to do inverse operations to isolate it.

180-15=165°

5x=165°

165÷5=33° (We divide by 5 because, in algebra, when a number is next to a letter it means times and as we want the inverse we divide).

So, x=33°

Hope this helps :)

Answer:

6+4*(5-3)

Step-by-step explanation:

Because of PEMDAS l, we first solve in the parantheses. So 5-3 would be 2, then we multiply 2 by 4 which would be 8 obviously. Then we do the final step, add 6 and 8 which would be 14. Cheers!

Answer: 6 + 4 × (5-3)

Explanation:

6 + 4 × (5-3) = 14

6 + 4 × 2 = 14

6 + 8 = 14

14 = 14

Must click thanks and mark brainliest

Answer:

-3

Step-by-step explanation:

You have to bring -16 to the other side by adding.

It would make it: -7a=21

Then you hve to diving the -7.

-7a/-7=21/-7

That would equal -3

Answer:

A= -3

Step-by-step explanation:

-7a - 16 = 5

( -7a - 16) + 16 = 5 + 16

-7a - 16 + 16 = 21

-7a = 21

7a/7 = - 21/7

a = -3

Hope this helps you

Brainless please

X would be the number of years between 1920 and 1980:

1980-1920 = 60 years.

Replace x with 60 and solve:

Y = 0.34(60) + 44.63

Y = 20.4 + 44.63

Y = 65.03

Answer: 65.03 meters

Answer:

15/100

Step-by-step explanation:

3/4 or a gallon is equal to 75/100

Because its 5 pitchers we divide by 5 and 75 divided by 5 is 15

Step-by-step explanation:

Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.

C={2,4,6,8}

C={2×1,2×2,2×3,2×4}

thus set builder form is:

{x:x=2n,n∈N} and this set is also call even number set in description mathod