Using the numbers 4.3, -1.07, and -2.971, write an expression containing both addition and subtraction that simplified to a positive number.​

Answer:

195 m3

Step-by-step explanation:

Answer:195 m^3

Step-by-step explanation:

volume of triangular prism=base area x height

height=h=5m

Base area=0.5 x 13 x 6

Base area=39

Volume of triangular prism=39 x 5

Volume of triangular prism=195m^3

Answer:A. is the equilateral triangle because all sides are equal

Step-by-step explanation:

Answer:more people will be living in Africa than in Asia sometime around 2120

Step-by-step explanation:

Answer:

More people will be living in Africa than in Asia sometime around 2120.

Step-by-step explanation:

Answer:

  (x -1)(x -5)

Step-by-step explanation:

We recognize that 6 is the sum of the factors of 1·5, so we can write the factorization as ...

  x^2 -6x +5 = (x -1)(x -5)

_____

The product of factors will be ...

  (x +a)(x +b) = x^2 +(a+b)x +ab

So, the binomial constants "a" and "b" are factors of the trinomial constant that have a sum equal to the coefficient of the linear term. Here, those are factors of +5 that have a sum of -6. The factors of interest are -1 and -5: 5 = (-1)(-5); -6 = (-1) +(-5).

Answer:

y=5 does not equal 2y=15

Step-by-step explanation:

If you plug y into the equation we get 2(5)=15

The next step is to multiply 2*5, which equals 10

10≠15

Answer:

y=7.5

Step-by-step explanation:

Answer:46

Step-by-step explanation:

x/4 - 1/2(6-x)=7x+3(6-2x)-1

x/4 - (6-x)/2=7x+18-6x-1

(x-2(6-x))/2=7x+18-6x-1

(x-12+2x)/2=7x-6x+18-1

(x+2x-12)/2=7x-6x+18-1

(3x-12)/2=x+17

Cross multiply

3x-12=2(x+17)

3x-12=2x+34

Collect like terms

3x-2x=12+34

x=46

Answer:

the answer is -80

Step-by-step explanation:

Answer:

  (√7)/3 ≈ 0.881917

Step-by-step explanation:

  [tex]\sqrt{\dfrac{7}{9}}=\dfrac{\sqrt{7}}{\sqrt{9}}\\\\=\boxed{\dfrac{\sqrt{7}}{3}\approx 0.881917}[/tex]

Answer: I think that it is B

Step-by-step explanation:

Answer:

probability = 1/2

Step-by-step explanation:

Ok probability is the possibility of something happening.

So let's check the chance of $5 appearing according to how it appeared before.

4 envelopes are opened and 8 bills are inside . So total bills are 32 bills

Out of 24 bills 12 are 1$ bill

12 are $ 5 bill.

So it's a fifty fifty chance.

So the probability is 1/2

answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

1.

   First blank: total amount of outcomes

2.

   since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.

3.

   a) F

   b) F

   c) T

   d) T

   e) T

    f) T

4.

17/36, because 17 of the answers are greater than 10 and there are 36 total answers.

Sorry I didn't answer all of them, hopefully this still helps!

Goodluck with your schoolwork/homework!

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

Apologies in advance for any errors/bad explanations.

Answer:

37

Step-by-step explanation:

4t< 150 Divide both sides by 4

t< 37.5

Since it wants the maximum number of tables, and tables are a whole number, the largest is 37. 38 is to many because it would surpass the maximum number of people allowed in a restaurant so 37 tables is the max without surpassing the occupancy level.

Answer:

37

Step-by-step explanation:

No of people that can be seated is 150

I tables seats 4 persons

Therefore 150 people requires 150/4 tables

150/4=37.5

The number of tables are 37

Answer:

101010 classmates can't tell their dreams.

Step-by-step explanation:

I'm not sure what the question is, but if it is an average thing than 444 of 555 is 80 percent, so if that is what it wants 404040 of the students can share their dreams, and 101010 can't.

Hope this helps!

Answer:

50,000 thousands make a crore.

Step-by-step explanation:

One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.

Answer:

It would be 2 x the absolute value of the y coordinate.

Step-by-step explanation:

Example:

(5,-3)

Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.

Answer:

Step-by-step explanation:

d = 16 cm

r =16/2= 8 cm

Total surface area = 3πr² cubic units

= 3 * 3.14 * 8 * 8

= 602.88

= 603 cm²

Answer:

1. The circumference of the circular base of the conical hat is 52.36 inches

2. The surface area of the cone that needs to be covered is  262 in.²

Step-by-step explanation:

Here we have that the given parameters are;

Diameter, D of circular = 20 in. = 2 × radius R, of the circle

R = 10 in.

Cut out section of cut out sector of circle = 60°

Therefore, circumference of the circular base = π×D×(360 - 60)/360 which gives;

The circumference of the circular base of the conical hat = π×20×(30)/36 = π·50/3 = 52.36 in.

Therefore, the radius of the formed cone = π·50/3/(2·π) = 25/3 = [tex]8\tfrac{1}{3}[/tex] = 8.33 in.

The formed cone satisfies the equation;

R² = h² + r²

Where:

h = Height of the cone

r = radius of the cone

∴ 10² = h² + 8.33²

∴ h² = 10² - 8.33² = 30.56 in.

The lateral surface area of the cone = π×r×l where l = R, we therefore have;

The lateral surface area of the cone = π×8.33×10 = [tex]\pi \cdot 8\tfrac{1}{3}[/tex] = 261.8 in.² = 262 in.².

The surface area of the cone that needs to be covered = The lateral surface area of the cone = 262 in.².

Answer:

  y = -3

Step-by-step explanation:

The midline value is the added constant, -3. The equation for the line is ...

  y = -3

Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

Answer:

0.1875 and 0.12

Step-by-step explanation:

3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12

Answer:

1)0.1875

2)0.12

Step-by-step explanation:

Answer:

The answer you put is correct.

Step-by-step explanation:

It is B.

Answer:

[tex]882\pi[/tex]

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius and h is the height of the cylinder. Therefore, the volume of this cylinder is [tex]\pi \cdot 7^2 \cdot 18=882\pi[/tex] cubic feet. Hope this helps!

Answer:

(x+1)(x+2)

Step-by-step explanation:

Answer:

(x-1)(x-2)

Explanation:

To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2

Summary of above: (−1)+(−2)=−3

So the integers we are looking for are

−1 and −2

Therefore, x^2-3x+2=(x-1)(x-2)

Answer:

The value of the first quartile is 13.

Step-by-step explanation:

0    0 0 5 8

1     2 3 5 8 8 9

2    2 4 6 7 7 7

3    3 5 6

4    2 4 6

5    7

Its median is greater than its mode.

median is 12th data point = 24  mode = 27  false

It has a range of 52 pages.  

range is largest minus smallest = 57-0 = 57  false

The value of the first quartile is 13.

There are 11 data points 11/2 = 5.5 = 1st quartile is 6th data point = 13

The data is symmetric.

it is not symmetric

Answer:

C) The value of the first quartile is 13.

Step-by-step explanation:

Answer:

1 . There will be enough cup of punch to serve all 14 guest

2. There will be 2 cups of punch left.

Step-by-step explanation:

Mr  Hernandez combines 1 gallon of orange juice, 3 pint of pineapple juice and 2 quarts of lemon-lime soda to make punch for a party.

This combination makes up the punch.  We have to convert to cups to ascertain if the punch will be enough to serve 14 guest which are entitle to 2 cups of punch. The 14 guest will consume a total of 28 cups of punch .

1 gallon of  orange juice = 16 cups of orange juice

1 pint = 2 cups

3 pints of pineapple =  6 cups

1 quarts = 4 cups

2 quarts of lemon-lime soda = 8 cups

When you combine all the cups together, the total punch will be = 16 + 6 + 8 = 30  cups of punch.

The guest will consume a total of 14 × 2 = 28 cups of punch. There will  be 30 - 28 = 2 cups of punch left.

We need to find D.

D=(-8)²-4×16×1=64-64=0

D=0, so the graph of the function intersect the x-axis at 1 point

Answer: C

Answer:

88 25/27

Step-by-step explanation:

(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3

PEMDAS

Parentheses first

(7)^2 (7)^2÷(3)^3

Then exponents

49*49 ÷27

Then multiply and divide from left to right

2401÷27

2401/27

88 25/27

88.92592593

Answer:

Step-by-step explanation:

(7)^2(7)^2 / (3)^3

49*49 / 27

2401/27

88 25/27

Answer:

49

Step-by-step explanation:

First multiply 3 x 5.Which will give you 15.Then add 34 and 15 which will give you 49.

Answer:

49

Step-by-step explanation:

3 x 5 = 15

15+34 = 49

Answer:

x = -3  ±sqrt(27)

Step-by-step explanation:

x^2 +6x = 18

Take the coefficient of x

6

Divide by 2

6/2 =3

Square it

3^2 = 9

Add this to each side

x^2 +6x+9 = 18+9

6/2 or 3 is what is inside the (x+   )^2 on the left

(x+3) ^2 = 27

Take the square root of each side

sqrt((x+3) ^2) = ±sqrt(27)

x+3 = ±sqrt(27)

Subtract 3 from each side

x+3-3 = -3  ±sqrt(27)

x = -3  ±sqrt(27)

Answer:

A=88 square units

Step-by-step explanation:

A=B x H

A= 11 x 8

A=88 square units

Answer:

we can conclude that more than 50% of community college students plan to vote in the next presidential election

Step-by-step explanation:

Decision Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Null hypothesis H0: 50% of community college students plan to vote in the next presidential election

H0: p = 0.50

Ha: More than 50% of community college students plan to vote in the next presidential election

Ha: p > 0.50

P-value = 0.02

From the decision rule;

Since the p-value for this study is less than the significance level.

0.02 < 0.05

So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.

Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election