Mathematics High School

In a certain arithmetic sequence, consecutive terms have a positive common difference. The first 4 terms of the sequence have a sum of 80. Which of the following values CANNOT be thefirst term of the arithmetic sequence?
a - 10
b - 12
c - 16
d - 18
e - 20

Answers

Answer 1

Answer:

E:20

Step-by-step explanation:

I had the same question and it correct answer was E.

Answer 2

The first term of the arithmetic sequence will be 20. Then the correct option is E.

What is an arithmetic sequence?

Arithmetic succession or arithmetic sequential is a numerical series in which the difference between subsequent terms is uniform.

In a specific number juggling grouping, successive terms have a positive normal distinction. The initial 4 terms of the grouping have an amount of 80.

Let the four terms be a - 3d, a - d, a + d, and a + 3d. Then the sum of the four-term is given as,

a - 3d + a - d + a + d + a + 3d = 80

Simplify the equation, then we have

a - 3d + a - d + a + d + a + 3d = 80

4a = 80

a = 80 / 4

a = 20

The first term of the arithmetic sequence will be 20. Then the correct option is E.

More about the arithmetic sequence link is given below.

https://brainly.com/question/15412619

#SPJ2

Related Questions

Write an equation in Point-Slope Form that passes through the points (2,-3) & (4,7)

Answers

Answer:

[tex]y=5x-13[/tex]

Step-by-step explanation:

Using the graph starting at -13 and going up 5 and over right 1 continuously, it tends to pass 2,-3 and 4,7.

if ratio of 2 circle is 16:25 and circle one's radius is 4 what is the radius for the 2nd circle

Answers

Answer: 42

you must divide the casuals into the amount of Cheetos I ate last tomorrow morning

The sum of two numbers is 16 and their product is 63

Answers

My work to your answer

what's 58 divided by 78 will mark brainliest

Answers

The Answer will be: 1.3

Step-by-step explanation:

when 58 is divided by 78 the answer comes out to be 0.7435

58/78 = 0.7435.

hope this helps you, my dear.

Please help me with this
It is due today, so please help me ASAP

Answers

1.a. 2 hours 41 minutes b. 10 hours 21 minutes
2.a. 3:10pm b. 12:42pm
if you just count between hours it would be so much easier

Find the slope and y-intercept from the graph. Then enter the equation for the graph in slope-intercept form.


The table numbers are (0,9) (1,13) (2,17) (3,21) (4,25)

Answers

Answer: y=4x+9

Slope = 4

Step-by-step explanation:

y2-y1/x2-x1

Given 3,21 and 4,25

25-21/4-3 = 4/1 = 4

Slope = 4

You can use the point-slope formula to get the following equation in slope-intercept formula.

y-y1 = m(x-x1)

(4,25)

->

y-25=4(x-4)

Distribute

y-25=4x-16

Cancel 25

y=4x+9

Subtract the integers with solution

53-18=
50-72=
215-(-65)=
-49-36
21-(-49)

Answers

Answer:

1. 35

2. -22

3. 280

4. -85

5. 70

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Can someone help me I don't get it

Answers

Answer:

6a C; 6b C

8: b.2 and d.15/4

Step-by-step explanation:

Answer:

1 mile = 5,280 feet

or

Step-by-step explanation:

So your case, since the given is already 35 miles per hour the only conversion that needs to be done to convert it into feet per hour would be the conversion of miles into feet.

please help! i reward brainliest :D
Find x and y intercepts. Write ordered pairs representing the points where the line crosses the axes. y-3x=18

Answers

x= (-6,0) y=(0,18)

to find the x plug in 0 into “y” so: 0-3x=18
to find y plug in 0 into “x” so: y-3(0)=18

evaluate 5/8 - (1/4)2

Answers

Answer The answer will be 0.125

Step-by-step explanation:

What is 2(3x+7)=-49+39

Answers

Answer:

x = -4

Step-by-step explanation:

2(3x + 7) = -49 + 39

6x + 14 = -10

6x = -10 - 14

6x = -24

x = -4

Answer: x = -4

Checking answer: 2(3•-4+7) = -10
-49+39 = -10

Help MEE PLEASEE :( Im stressing sm

Answers

Answer:

smaller t= 0

larger t= 4

Step-by-step explanation:

smaller t is the t sqrd

larger t is the 4t

h(t) = t^2 + 4t + 3

h(0) = (0)^2 + 4(0) +3

0 + 0 + 3

= 3

i think the vertex of the parabola is

negative positive 3 or (-3,3),(3,-3)

I don't think if that's the correct answer.

WILL GIVE BRAINLIEST IF CORRECT!!

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=1/2x+8

Step-by-step explanation:

Hope is helps. Please mark brainliest!!

The ratio of boys to girls in the sixth grade is 3:5. If there are 20 more girls than boys, how many total students are in the sixth grade?

Answers

Answer:

80

Step-by-step explanation:

.375, .525, .25 difference. 20/.25 =80

There are 80 students in the sixth grade.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Thus, a = px, b = qx

We have been given that ratio of boys to girls in the sixth grade is 3:5. If there are 20 more girls than boys, then

Now we need to do as;

b = 20 + g

3x = 20 + 5x

x  = 10

Now The students  are 8p

8 x 10 = 80

Hence, there are 80 student.

Learn more about ratio here:

brainly.com/question/186659

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Rút gọn biểu thức sau
(2/2-√5 - 2/2+√5):√20

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve for value of (2/2-√5 - 2/2+√5) :

[tex] \dfrac{2}{2 - \sqrt{5} } - \dfrac{2}{2 + \sqrt{5} } [/tex][tex] \dfrac{2(2 + \sqrt{5} ) - 2(2 - \sqrt{5} )}{ {2}^{2} - 5} [/tex][tex] \dfrac{4 + 2 \sqrt{5} - 4 + 2 \sqrt{5} }{4 - 5}[/tex][tex] \dfrac{4 \sqrt{5} }{ - 1} [/tex][tex] - 4 \sqrt{5} [/tex]

now, let's simply the ratio :

[tex] - 4 \sqrt{5} : \sqrt{20} [/tex][tex] \dfrac{ - 4 \sqrt{5} }{ \sqrt{20} } [/tex][tex] \dfrac{ - 4}{ \sqrt{4} } [/tex][tex] - \sqrt{4} [/tex]

Therfore , the required ratio is :

[tex] - \sqrt{4} :1[/tex]


Find the missing angle.
88°
Х
47°
X =
[?]
Enter the number that belongs in the green box.

Answers

Answer:

X = 45

Step-by-step explanation:

Hope it will be helpful for you.

Please help me with this question

Answers

Answer:

x = 2

Step-by-step explanation:

Any lower base angle is supplementary to any upper base angle, then

51x + 3 + 75 = 180

51x + 78 = 180 ( subtract 78 from both sides )

51x = 102 ( divide both sides by 51 )

x = 2

You will pay tax on a purchase of $27.89. The tax
rate is 6.5%. How much will your total be?

Answers

Your total would be $29.70:)
27.89 x 1.065= 29.70!
i got $29.70 with your tax being $1.81

divide 65 into two groups so that the ratio is 2 to 3

Answers

Let’s call the ratio 2x:3x

2x+3x =65
5x = 65
X = 13

Now apply to the ratio.

2x:3x
2(13):3(13)
26:39

Which of the following is the graph of 2x - 3y = 6?

Answers

The answer is B, explanation in the picture attached

Answer:

Option B (second graph)

Step-by-step explanation:

Given the linear equation in standard form, 2x - 3y = 6:

It's easier to figure out the corresponding graph by transforming the equation into its slope-intercept form, y = mx + b:

2x - 3y = 6

2x - 2x - 3y = 6 - 2x

-3y = -2x + 6

Divide both sides by -3:

[tex]\frac{-3y}{-3} = \frac{-2x+6}{-3}[/tex]

y = 2/3x - 2

Now that we have the slope-intercept form, it's easier to tell that Graph B represents the given equation because:

The graph's y-intercept occurs at (0, -2).The slope, m = 2/3, is positive.  If you use the "Rise over run" technique, you'll see that Graph B rises by 2 units, and runs by 3 units.

Therefore, the correct answer is Graph B.

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+3)°
27°

Answers

Answer:

x = 10

Step-by-step explanation:

1. The sum of all angle measures in any triangle is equal to 180 degrees.

This means that 90 + 6x + 3 + 27 = 180

2. (Solving)

Step 1: Combine like terms.

[tex](6x)+(90+3+27)=180[/tex] [tex]6x + 120 = 180[/tex]

Step 2: Subtract 120 from both sides.

[tex]6x + 120 - 120 = 180 - 120[/tex] [tex]6x = 60[/tex]

Step 3: Divide both sides by 6.

[tex]\frac{6x}{6}=\frac{60}{6}[/tex] [tex]x = 10[/tex]

Therefore, x = 10.

The temperature in Doha, Qatar on 1 June is 40°C. Over
the next two days this temperature increases by 10%
followed by a decrease of 10%. Find the temperature in
Doha on 3 June.

Answers

Answer:

39.6°C

Step-by-step explanation:

10% of 40°C is 40 × 10/100

=4

temp on 2 June = 40+4 = 44°C

now 10% of 44°C is 44 × 10/100

=4.4

temp on 3 June = 44 - 4.4 = 39.6°C

GIVING BRAINLIEST
a submarine is located 358 feet below sea level. it ascends 169 feet. At what depth is the submarine now

Answers

Answer:

A.T.Q

358-169

= 189

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

189 ft depth

Step-by-step explanation:

Initial position:

- 358 ft

Change in position:

+ 169 ft

Position now:

- 358 + 169 = -189 ft

5(2x + 6) = 8x + 48

how do I solve this with steps

Answers

Answer:

x=9

Step-by-step explanation:

10x + 30 = 8x + 48

-8x = -8x

______________

2x +30 =48

-30= -30

__________

2x/2 = 18/2

x = 9

hFASTTTTTTTTTTTTSNFKSKMDKF

Answers

Answer:

(4, 4)

Step-by-step explanation:

If it is reflected on both axis, it will be (4, 4)

Agree with first answer

Assuming the scale drawing of the swimming pool is 10 cm long and 5 cm wide, how long and how wide is the actual swimming pool?

Answers

Answer:

50 ft by 15

Step-by-step explanation:

Using a ruler and a pair of compass only construct triangle XYZ with |XY| = 6cm,|XZ|=8cm and ​

Answers

Answer:

i dont know

Step-by-step explanation:

i-

Please find the slope of each line and explain

Answers

Answer:

the picture is not clear for me I can't see anything sorry

Which set of fractions is ordered from least to greatest?

Answers

Answer:

answer is A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The bigger the denominator is the samller the fraction is.

Ex:[tex]\frac{1}{32}[/tex] is way smaller than [tex]\frac{1}{3}[/tex]

Please Help!
Slope finding
8th Grade work

Answers

Answer:

first question

slope = rise/run = 2/3

second question

slope = rise/run = 1/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

if u start from any point and go to the next u will be going up 2 the moving 3 to the right.

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