Which expression gives the closest estimate of 228 – 179?

9514 1404 393

Answer:

  (-5, -2)

Step-by-step explanation:

That point P can be found from ...

  P = A + 1/5(B -A)

  P = (4/5)A +(1/5)B = (4A +B)/5

  P = (4(-6, -4) +(-1, 6))/5 = (-24-1, -16+6)/5 = (-25, -10)/5

  P = (-5, -2)

Answer:

the answer is (-5,-2)

Step-by-step explanation:

:))

Answer:

This question can be solved in two ways but we're gonna go with the Formula Method

For the sum of terms

Sn = n/2[2a+ (n-1)d]

Given

Sn=50

n=10terms

Substituting

50=10/2[2a + (10-1)d]

50=5[2a + 9d]

10=2a + 9d......(i)

Now the Second Statement...

""The Fifth term is 3x the second term""

What is the Fifth term(T5) of an Ap?

Using the general formula for nth term of an Ap

Tn = a+(n-1)d

T5 = a +(5-1)d

T5= a + 4d

For Second term (T2)

T2=a + (2-1)d

T2 = a + d

"It said... T5 = 3T2

ie a + 4d = 3(a + d)

a + 4d = 3a + 3d

Collecting Like terms

2a=d........(ii)

Bring down both equations

10=2a + 9d...(i)

2a = d...(ii)

Substituting d=2a into Equation (i)

10 = 2a + 9(2a)

10=2a + 18a

10=20a

a=10/20

a=1/2

Since d=2a

d=2(1/2)

d=1.

Now

We're asked to Find the Sum of the First 100terms

n=100

a=1/2

d=1

Sn =n/2[2a+(n-1)d]

Sn= 100/2[2(1/2) + (100-1).1)

Sn= 50[1 + 99]

Sn = 50(100)

Sn = 5,000.

Answer:

i did it and i think b should be right

Answer:

0.07x - 0.002x^2 - 0.3

Step-by-step explanation:

Given the expression shown (0.2x-1)+(0.3-0.01x)

Expand

(0.2x-1)+(0.3-0.01x)

= 0.2x(0.3)  - 0.2x(0.01x)-1(0.3) + 1(0.01x)

= 0.06x - 0.002x^2 - 0.3 + 0.01x

= 0.06x+0.01x - 0.002x^2 - 0.3

= 0.07x - 0.002x^2 - 0.3

This gives the required expression

Answer:

c

Step-by-step explanation:

Answer:

76 a

Step-by-step explanation:

Answer:

A. 76 balloons

Step-by-step explanation:

if she starts with 45 and gets 31 more, she's adding the 31 new balloons. so you add 45 plus 31 which makes 76. so the answers A. 76

Answer:

the statement will be true

Answer:

c. 492 cubic centimetres

Step-by-step explanation:

the equation for the volume of a rectangular prism is

V = Length × Width × Height

we also have to take into account that there are 2 rectangular prisms in that picture so we have to add the volumes of both of them.

for the one on the bottom, the volume would be

V = 9 × 6 × 8

V = 432 cubic centimetres

now we'll do the one on the top

V = 3 × 5 × 4

V = 60 cubic centimetres

now we'll add up both volumes to get a total amount.

432 + 60 = 492 cubic centimetres

Answer:

A?

Step-by-step explanation:

It's super tiny

Answer

definitely C.  If two sentences have the same truth value, then they are equivalent.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Addition 2/9+7/9=1. 1+7+2=10

Answer:

1) A week: $151.74

2) A month : $606.96

3) A years : $7890.48

Step-by-step explanation:

Custodian at Movie Theater

pay:$9.95

per hours:

15.25 hours per week

How much do they make in

1) a- week

1 week = 15.25 hours

Hence,

1 hour = $9.95

15.25 hours = x

Cross Multiply

x = 15.25 × $9.95

x = $151.7375

Approximately = $151.74

2) A month

There are 4 weeks in a month

1 week = $151.74

4 weeks = x

Cross Multiply

x = 4 × $151.74

x = $606.96

3) A year

There are 52 weeks in a year

Hence,

1 week = $151.74

52 weeks = x

Cross Multiply

x = 52 × $151.74

x = $7890.48

Therefore, they made in :

1) A week: $151.74

2) A month : $606.96

3) A years : $7890.48

Answer:

1. V=490 yds^3

2. V=151.25 in^3

3. V=51 m^3

4. V=435 cm^3

5. V= 837 ft^3

Step-by-step explanation:

Just multiply all of the values if that helps :)

Answer:

you can use SSA to prove congruence. side DE and AB are congruent, and C and F are both right angles

Answer:

yes, that information is sufficient

Step-by-step explanation:

when y is given, you can prove that the triangles are congruent by RHS axiom. R- right angle H-hypotenuse S- side

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I believe that you want to know the number of rides that Katie can take.

Based on the information in the question, we can form an equation. Let the number of rides that Katie can take be represented by x. Therefore,

12 + (1.25 × x) = 50

12 + 1.25x = 50

1.25x = 50 - 12

1.25x = 38

x = 38/1.25

x = 30.4

Therefore, Katie can take at most 30 rides.

Given:

The bases of trapezoid measuring 4 m and 12 m.

To find:

The median of the trapezoid.

Solution:

The median of the trapezoid is the average of its bases.

[tex]\text{Median}=\dfrac{\text{Upper base + Lower base}}{2}[/tex]

The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:

[tex]\text{Median}=\dfrac{4+12}{2}[/tex]

[tex]\text{Median}=\dfrac{16}{2}[/tex]

[tex]\text{Median}=8[/tex]

Therefore, the correct option is C.

Answer:

look at the picture i have sent

Step-by-step explanation:

diameter=69

radius=diameter/2=34.5

circumference=2πr

Answer:

42 cubic cm

Step-by-step explanation:

Answer:

A. The y-intercept represents the amount of money Stephanie has. She started at -16 because she spent $16.

B. The x-intercept is the amount of cups of lemonade she sold. On the graph, it shows that after 8 cups, she made 16 dollars back. She didn't make any profit sense she started at -16.

C. The slope represents how much she made after so many cups of lemonade were sold. It was after 8 cups of lemonade were sold that she started making a profit.

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c it's the complement of 47 we know it's 180-47 = x

or

x = 133°

Answer:

x = 133 degrees

Step-by-step explanation:

The 47 degrees is a corresponding angle with the angle on the right of x. Meaning that angle is also 47 degrees. After figuring that out, all you have to do is do subtraction (180-47=133) to get your answer.

Answer:

Step-by-step explanation:

Givens:

Eq. 1 )  x + y = 5

Eq 2 )  x = 1 + y  

plug x into Eq 1 from Eq 2

(1+y) + y = 5

algebra them out

2y = 4

y = 2

then

x + 2 = 5

x = 3

Answer: the answer will be 24/15

Step-by-step explanation:

Answer:

126 burned calories per hour

There are 60 minutes in 1 hour, so ir you multyply 21 x 6 your answer will be 126.

Answer:

126

Step-by-step explanation:

there are 60 minutes in an hour so divide 60 by 10 to get 6 and multiply by 21 to get 126

Answer:

f(n) = [tex]\frac{1}{4}[/tex](2)^(n-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1/4)X(n-1)

Answer:

≈113.09734

Step-by-step explanation:

A=πr2=π·62≈113.09734

Answer:

1/8 cups per teaspoon

Step-by-step explanation:

5/8 cup sugar per 5 teaspoons of vanilla

(5/8 ) divide in 5 will give us how much per 1 teaspoon

(5/8)/5 = (5/8) * (1/5) = 5*1/ 8*5 = 1/8

Answer:

the answer is second option

Answer:

C

Step-by-step explanation:

I would think C because the range is 14 because 16-2 and the interquartile range is 8 because 13-5