Find the sum.
10 + 12 + 14 + ... + 80

Answers

Answer 1

Answer:

1620

Step-by-step explanation:

The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).

Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.

The average of the numbers is 45, since [tex]\frac{10+80}{2}=45[/tex]. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.

[tex]45\times36=1620[/tex], so the sum is 1620.


Related Questions

Which measure of center is most appropriate, and what
is the value of the measure of center?
As a quality inspector for an automobile manufacturer,
you record the gap between adjacent side panels on
several cars as follows: 6,7, 6:1, 6:2, 6.7, 6.5, 6.4, 6.3,
and 6.1 millimeters. The standard deviation of these data
is 0.23, and the range is 0.6.
mean; 6.375
median; 6.375
mean; 6.4
median; 6.6
mode; 6.7

Answers

Answer:

The mean is 6.41428571429

Step-by-step explanation:

So C would be the answer

Does (3,8) make the Equation y=x-5 true?

Answers

Answer:

no

Step-by-step explanation:

Jeremy was saving $8 per week.
How many weeks would it take him to save $124?​

Answers

set n as the value of weeks jeremey needs to save

so jeremy needs to save 8n = 128

so n =[tex]\frac{128}{8}[/tex] = 16 weeks

It would take 15 full weeks and a half of one week

5. Penny and her family went out to eat at a local
restaurant. Three of them ordered a fried shrimp
basket, but her daughter Meghan ordered a basket
of chicken tenders, which was $4.95 less than the
shrimp basket. If the total order before tax was
$46.85, what was the price of a shrimp basket?

Answers

Answer: $13.45

Step-by-step explanation:

1. 48.85 + 4.95 = 53.8

2. 53.8/4 = 13.45

3. Shrimp basket = $13.45

How many millimeters are in 3.4 liters?

Answers

3400
I think there’s a 1000ml in a litre so just multiply 3.4 by 1000

Answer:

3400 milliliters

Step-by-step explanation:

Liam has 60 seeds and 12 plastic cups, and will plant the same number of seeds in each cup. Whicl equation shows the number of seeds in each cup? es 4 60 - 5 도 A 1260 5-12​

Answers

Answer:

Number of seeds in each cup = 5 seeds in each cup

Step-by-step explanation:

Given:

Total number of seeds Liam has = 60 seed

Total number of plastics cup = 12 cups

Find:

Number of seeds in each cup

Computation:

Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup

Number of seeds in each cup = 60 / 12

Number of seeds in each cup = 5 seeds in each cup

I need help with this

Answers

Answer:

65*

Step-by-step explanation:

All angles in a triangle = 180 degrees.

The unknown (a) is 60° so if you add each angle of this triangle you would get 175° total.
I got my answer by adding 60°+35°+80° and ended up with 175°. In quick math, you can just add 6+8=14 and add the zero so it would be 140 then add 35 which basically you just need to add 3+4=7 then add the zero once again making the answer a 170 and then just add the leftover 5 you got from the 35.

Help Give brainliest quickly

Answers

Answer:

I think the answer is forth one

Solve for x
x ^2 +3x−4=0

Answers

Answer:

= 1

= − 4

Step-by-step explanation:

Answer:

The solution set is {-4, 1}.

Step-by-step explanation:

x^2 + 3x − 4 = 0

(x + 4)(x - 1) = 0

x = -4, 1.


When renting a limo for prom, the number of people varies inversely with the cost per person. Originally
there were 6 people and the cost per person was $34. If the number of people changed to 12, what would be
the new cost per person?

Answers

It would be $68 per person.

What is p(3) and p(3) when spinning the spinner shown at the right twice (fraction) ?

Answers

Answer:

1/49

Step-by-step explanation:

There are 7 possible outcomes, so the probability that the spinner lands on 3 twice is (1/7) * (1/7) = 1/49

The value of a car that depreciates over time can be modeled by the function
M(t) = 18000(0.8)^3t. Write an equivalent function of the form M(t) = ab^t.

Answers

Answer:

t=0

Step-by-step explanation:

What is got was 0

Tessellations

Rotate the parallelogram 180° clockwise about point Q.

Please select the best answer from the choices provided

Answers

Answer:

D.

Step-by-step explanation:

I calculated it logically

22/33 = a/24 sovle the proportion​

Answers

22/33=a/24
22x24 = 33xa
a=22x24/33
a=16

Quiz
Active
2.
Which net can be folded to form a pyramid?

Answers

Answer:

Where are the options?

use a flowchart to prove if the triangles in each pair are congruent. NO LINKS!!!!​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.

In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.

the answer is x=4 4(2×8)

Pwease help i will give you brain thing if its correct ♡

Answers

Answer:

1. 54 = 0.6x

2. 90 dollars (see below)

Step-by-step explanation:

54 = 0.6x

0.6 is the decimal equivalent of 60%

Divide both sides by 0.6:

54/0.6 = 0.6x/0.6

90 = x

Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t ) and the number of days (d ) Jamie has practiced?

Answers

Answer:

t = 45d

Step-by-step explanation:

Number of days = d

Number of minutes = t

Number of minutes per day = 45 minutes

Total number of minutes of practice after d number of days will be :

t = number of minutes per days * Number of days

t = 45 * d

t = 45d

9. Given a circle with a radius of 6, determine its sector area with an angle measure of 120°.

Answers

Answer:

2160 square units

Step-by-step explanation:

Given data

Radius= 6 units

Angle= 120°

Area of the sector is given as

Area of sector= r^2* ∅/2

Area of sector= 6^2*120/2

Area of sector= 36*60

Area of sector= 2160 square units

• What is the difference? Complete the equation.
–30 – (-10) =
?

Answers

The answer to the question is -20

Shaun bought a new Nissan Versa from Planet Nissan for $11.199. How much was his sales tax if the
tax rate is 8.25%

Answers

Answer:

923.92

Step-by-step explanation:

11,199 x .0825 = 923.92

Tell whether the ordered pair is a solution of the inequality.
3x + 3y 5 -6: (-1,-4)
step by step explanation
help

Answers

Answer:

(-1, -4) is a solution

Step-by-step explanation:

3x + 3y ≤ -6

plug in point (-1, -4)

3(-1) + 3(-4) ≤ -6

-3 + -12 ≤ -6

-15 ≤ -6    true

 (-1, -4) is a solution

Elena is knitting a design on a sweater. The first row has 10 stitches and each
additional row has 7 stitches more than the row before it. How many stitches are in
the 12th row?
A.74
B.70
C.87
S.86

Answers

Answer: 87

Step-by-step explanation:

This will be solved using an arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term = 10

d = common difference = 7

n = 12

Therefore, 12 term will be:

= a + (n - 1)d

= 10 + (12 - 1) × 7

= 10 + (11 × 7)

= 10 + 77

= 87

Therefore, the number of stitches that are in the 12th row will be 87.

20. Given circle C with radius r and circle D with radius

s, what is an appropriate first step when proving

circle C is similar to circle D?

O A. Transform circle C with a dilation that has center

Cand scale factors.

B. Transform circle C with a dilation that has center

C and scale factor r.

O C. Transform circle C with the translation that maps

point Conto point D.

OD. Transform circle C with the translation that maps

point onto point C.

Answers

Answer:

A. Transform circle C with a dilation that has center  C and scale factor s.

Step-by-step explanation:

Given

Circle C

[tex]radius = r[/tex]

Circle D

[tex]radius = s[/tex]

Required

Map C to D

From the question, we can assume that:

[tex]r \ne s[/tex]

This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.

To map C onto D,

1) C has to be dilated from its own center C

2) The scale of dilation will be equal to the radius of D (i.e. s)

Hence, (A) is correct

Answer:

It's C

Transform circle C with the translation that maps point Conto point D.

PLZ HELP FIRST RIGHT GETS BRAINLEST
A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?

Answers

Answer:

[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]

(see explanation)

Step-by-step explanation:

This problem is asking about compound probability, what is the probability of this even happening three times in a row.

Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,

[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]

In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.

[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]

Simplify,

[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]

[tex]\frac{9}{78}[/tex]

A $120.00 pair of shoes at your nearby department store is marked up 4% and then is offered at 45% off. If sales tax is 13%, what is the total amount of tax that must be paid for this pair of shoes?
i need answer ASAP

Answers

Answer:

$26

Step-by-step explanation:

0.8(X - 3) = 18.4

X - 3 = 23

X = 26

Constant of Variation

State the relationship between the graphs of f(x) and g (x)

f(x) = -5/x, g )x) 5/x

a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.

Please select the best answer from the choices provided.

Answers

Answer:

B. f and g are reflections of each other about the y-axis.

Step-by-step explanation:

I calculated it logically

A field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?​

Answers

44 moths 176 butterflies 220/5 x 4 = 176
176 + 44 = 220

Match the equation below with the following graph.

Answers

It’s the last one: 2x+1=-x+7

PLease Help help Help

Answers

Answer:

98.1 square units

Step-by-step explanation:

know you need it quick

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