For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment

Answers

Answer 1

The inequality that represents the situation is:

[tex]3q + 3 > 51[/tex]

The first assignment had at least 17 questions.

On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.

The total number of questions is:

[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]

Since the total is greater than 51, the inequality is:

[tex]3q + 3 > 51[/tex]

Solving the inequality, we have that:

[tex]3q > 48[/tex]

[tex]q > \frac{48}{3}[/tex]

[tex]q > 16[/tex]

Thus, it is found that the first assignment had at least 17 questions.

A similar problem is given at https://brainly.com/question/24514895


Related Questions

Please help :)
40 percent of the leaves are still green. If there are 12,000 total leaves, how many are no longer green?

Answers

Answer: 7200

Step-by-step explanation:

40 percent of leaves are green so 60 percent of leaves are no longer green.

there are 12000 total leaves so [tex]\frac{60}{100}[/tex] × [tex]12000[/tex] = 7200

please give me a brainliest answer

Cuál es el volumen de un cilindro que tiene 42cm de radio y una altura de 1.20m?

Answers

Answer:

V = 665,012 cm^2 (centímetros cuadrados)

Step-by-step explanation:

V= (pi) x (r^2) x (h)

V = 3.14 x 1764 x 120cm = 665012 cm^2

i need help please with this

Answers

Answer:

Thus, width is 6 and length is 25.

Step-by-step explanation:

Let us assume the width is x, then, the length is (4x+1).

Therefore, 2x + 2(4x+1) = 62

Or, 2x + 8x + 2 =62

Or, 10x = 60

Or, x = 6

Answer:

27 units.

Step-by-step explanation:

The perimeter is equal to 2 x length + 2 x width.

If the width is 4 then:

62 = 2 x length + 2 x 4

62 = 2 x length + 8

Then, we can subtract 8 from both sides.

54 = 2 x length

Next, divide both sides by 2

27 = length

so,

The length is 27 units.

8 and 10 in independent practice please

Answers

Answer:

8.) Rational

10.) Irrational

Step-by-step explanation:

8.) This is rational because although it is a decimal, it is terminating, meaning it has an end.

10.) This is irrational because it is a repeating decimal with seemingly no pattern.

.What is the speed of a rocket that travels 700 m in 10s? How do you convert it to velocity?

Answers

Answer:

70m/s

Step-by-step explanation:

Velocity is distance by time so:

[tex]\frac{700}{10}=70m/s\\[/tex]

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Answers

Answer:

m<b=107º

Step-by-step explanation:

180-41-32=107

D and B are congruent


For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the
cost, C, after h, hours of babysitting. How much will Nicole make after babysitting for 10
hours?

Answers

3 + 5h = c
3 + 5(10) = c
3 + 50 = c
53 = c
Nicole will make $53 in 10 hours of babysitting

I don't understand what the "find the solution" part is asking me to do? Help is greatly appreciated.

Answers

Answer:

Step-by-step explanation:

[tex]a) x_{1+1}=\dfrac{(x_{1})^{3}-5}{10}\\\\x_{2}=\dfrac{(-1)^{3}-5}{10}=\dfrac{-1-5}{10}=\dfrac{-6}{10}= - 0.6\\\\\\ii) x_{2+1}=\dfrac{(x_{2})^{3}-5}{10}\\\\x_{3}=\dfrac{(-0.6)^{3}-5}{10}=\dfrac{-0.216-5}{10}=\dfrac{-5.216}{10}= - 0.5216\\\\\\[/tex]

find the postive value of x when y = 25

Answers

2/5 , i dont have an explanation but maybe try that! I just did the math on paper

42 divided by (-7) =​

Answers

the answer is -6.

the negative 7 turns the answer negative.

The answer is negative six so (-6) because when you divide a positive number with a negative it becomes a negative

Find x if the base angles of an isosceles triangle are 61 degrees and 7x+19.

Answers

The question provides the measures of two angles, (one of which contains

a variable), and the relationship between the angles.

The value of x is 6 degrees

Reason:

The given parameters are;

The base angles of the isosceles triangles are; 61° and (7·x + 19)°

Required:

To find the value of x

Solution:

By definition of an isosceles triangle, we have;

The base angles of an isosceles triangle are equal, therefore;

(7·x + 19) = 61

Which gives;

[tex]x = \dfrac{61 - 19}{7} = 6[/tex]

The value of x = 6

Learn more here:

https://brainly.com/question/16350203

2. Round 459 to the nearest hundred.
O
460
450
500
400

Answers

Answer:

The answer is 500

Step-by-step explanation:

When you round to the hundred, you look at the 10s place. If the 10s place is 5,6,7,8, or 9, you round the hundred up. In this case, it is 459 so you would round up to 500. Have a nice day!!!

Walmart sells its video games for $42.99. Virginia sales tax is 5%.
A. What is the sales tax for the video game?
B. What would the total price be for the video game?

Answers

A) multiply the price of the game by 5%

42.99 x 0.05 = 2.1495 rounds to 2.15

Amount of tax = $2.15

B) add the amount of tax to the price of the game:

42.99 + 2.15 = 45.14

Total cost = $45.14

(HELP NEEDED ASAP) What is the force needed to accelerate that same object to 7 m/s2? The unit of force is N (Newtons)

Answers

Answer:

20N

Step-by-step explanation:

For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°

will give brailist to correct answer and if you show the work

Answers

The sum of the measure of angle of a triangle = 180° .

Given two angles = 92° and 72°

_________________________

92° + 72° = 164°

180° - 164° = 16° (Ans)

Answer:

the answer is  16!

PLEASE HELP ASAP MY HANDS E GETTING TIRED AND I NEED TO SLEEP e>e

Answers

Answer:

[tex] \sf k = 1 \\\\ \sf y = x [/tex]

Step-by-step explanation:

A graph between the amount of time that backpacker hikes to the distance travelled is given .

We need to find the constant of proportionality and the equation of the relationship .

According to the Question ,

[tex]\sf \implies y \propto x \\\\\sf \implies y = kx [/tex]

Where k is a constant . Now from the graph , when y is 5 x is also 5 . On substituting the numbers ,

[tex]\sf\implies 5 = k(5) \\\\\sf \implies k =\dfrac{5}{5}\\\\\sf \implies \boxed{\frak{\pink{ k = 1 }}}[/tex]

Again the constant of proportionality is the slope of the line.

Here the slope of the line is 1 and its y intercept is 0 . On using slope intercept form ,

[tex]\sf\implies y = mx + c \\\\\sf \implies y = 1(x) + 0 \\\\\sf \implies \boxed{\pink{\frak{ y = x }}}[/tex]

please help me. i dont know how to do it.

Answers

Answer:

[tex]A = 48.815[/tex]

Step-by-step explanation:

[tex] \frac{a}{ \sin(A) } = \frac{b}{ \sin(B) } [/tex]

[tex] \frac{12.5}{ \sin(A) } = \frac{15.4}{ \sin(68) } [/tex]

[tex]12.5 \sin(68) = 15.4 \sin(A) [/tex]

[tex] \frac{12.5 \sin(68) }{15.4} = \frac{15.4 \sin(A) }{15.4} [/tex]

[tex] \sin(A) = \frac{12.5 \sin(68) }{15.4} [/tex]

[tex] A=\sin ^{ - 1} ( \frac{12.5 \sin(68) }{15.4} ) [/tex]

[tex]A = 48.815[/tex]

[tex]\sf 3x+44=50[/tex]

Answers

Answer:

2

Step-by-step explanation:

1) Subtract 44 from both sides of the equation

3x + 44 - 44 = 50 - 44

2) Simplify

a. Subtract the numbers

3x = 50 - 44

b. Subtract the numbers

3x = 6

3) Divide both sides of the equation by the same term

3x/3 = 6/3

4) Simplify

a. Cancel terms that are in both the numerator and denominator

x = 6/3

b. Divide the numbers

x = 2

3x+44=50
-44 -44
3x=6
Decide both sides by 3 and you’ll get x= 2

find 3 values of x and y that satisfy the equation y = 3x - 2

Answers

Answer:

x = 1, y = 1

x = -2, y = -8

x = 3, y = 7

Step-by-step explanation:

Divided: x³-2x²-x+2 by x+1. Using long division method.​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that

[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]

and

[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]

So, By using Long Division Method, we have

[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\: {x}^{2} - 3x + 2\:\:}}}\\ {\underline{\sf{x + 1}}}& {\sf{\: {x}^{3}  -  {2x}^{2} - x + 2 \:\:}} \\{\sf{}}& \underline{\sf{- {x}^{3} - {x}^{2} \: \: \:  \:  \:  \:  \:  \:  \:  \: \:\:}} \\ {{\sf{}}}& {\sf{\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  - 3{x}^{2} - x +2  \:  \:  \:  \:   \:  \:  \:  \:\:}} \\{\sf{}}& \underline{\sf{\:\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  3{x}^{2} + 3x  \:  \:  \:  \:  \:  \: \:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 2x + 2 \:\:}} \\{\sf{}}& \underline{\sf{\: \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \: - 2x - 2\:\:}} \\ {\underline{\sf{}}}& {\sf{\:\: \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 0\:\:}}  \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]

So,

[tex]\bf\implies \:Remainder = 0[/tex]

Verification

[tex] \purple{\rm :\longmapsto\:Dividend = {x}^{3} - {2x}^{2} - x + 2}[/tex]

[tex] \purple{\rm :\longmapsto\:Divisor = x + 1}[/tex]

[tex] \purple{\rm :\longmapsto\:Remainder = 0}[/tex]

[tex] \purple{\rm :\longmapsto\:Quotient = {x}^{2} - 3x + 2}[/tex]

Now, Consider

[tex]\rm :\longmapsto\:Divisor \times Quotient + Remainder[/tex]

[tex]\rm \:  =  \: (x + 1)( {x}^{2} - 3x + 2) + 0[/tex]

[tex]\rm \:  =  \: {x}^{3} - {3x}^{2} + 2x + {x}^{2} - 3x + 2[/tex]

[tex]\rm \:  =  \: {x}^{3} - {2x}^{2} - x + 2[/tex]

[tex]\rm \:  =  \: Dividend[/tex]

Hence, Verified

ANSWER:

2

________________

CARRY ON LEARNING

CAN YOU BRAINLEST ME PLEASE

HELP ASAP!!! 2.) Can you give a real world example of how we use positive and negative numbers? Make sure you can explain the meaning of 0.

Answers

Answer and explanation:

Temperature:

If it was -5°C, you know that it is very cold and below freezing point (0°C), but if it was 20°C you know the weather is quite warm.

0°C is freezing point and is used as a reference point to be able to tell if the temperature is warm or not.

Convert a mark of 72 out of 120 to a mark out of 300

Answers

Answer:

180 out of 300

Step-by-step explanation:

Basically,

300÷120=2.5

Thereof,

72×2.5=180.

Hope this helps!

tag brainliest please...

what is the answer?
8^-3​

Answers

Answer:

-72

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]a^{-m}=\dfrac{1}{a^{m}}\\\\8^{-3}=\dfrac{1}{8^{3}}=\dfrac{1}{8*8*8}=\dfrac{1}{512}[/tex]

can anyone help me please I need the answer to this fast

Answers

Answer:

y = 4/7x - 22/7

Step-by-step explanation:

Take 2 points:

(-5, -6) and (2, -2)

Find the slope:

m = (- 2 + 6)/(2 + 5) = 4/7

Find the y- intercept:

-6 = 4/7(-5) + b-6 = - 20/7 + bb = - 6 + 20/7b = - 22/7

The line is:

y = 4/7x - 22/7

Option is
AA
SAS
Not enough information to prove similarity
SSS

Answers

Answer:

AA   as the angles are similar the sides are not similar so AA is the answer

Step-by-step explanation:

What is the definition of a rational function?

Answers

Answer:

any function which can be written as the ratio of two polynomial functions.

have a nice day <3

discrete or continuous function​

Answers

Answer:

continuous becasue the arrows point out meaning the go on forever

Step-by-step explanation:

help me please i need an equation and solution

Answers

Answer:

3x - 2 = 4

x = 2

Step-by-step explanation:

3x - 2 = 4 ---> plus 2 on both sides

3x = 6 --> divide by 3 on both sides

x = 2

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

Hey there, first let's find the slope.

M=y2-y1/x2-x1.

M=7-3/2-1 which is 4/1.

So your slope is 4

So now we have y=4x+b.

Now we need our Y-intercept (B). which is -1

So your answer is Y=4x-1

14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is
S=n/2(a+b)
where n is the number of terms, a is the first term, and b is the last term.
Express b in terms of a, S, and n.

Answers

Answer:

b = 2S/n - a.

Step-by-step explanation:

S=n/2(a + b)

a + b = S / n/2

a + b = 2S/n

b = 2S/n - a.

If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].

What is an arithmetic sequence ?

An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.

Here, a and b are the first and the last terms respectively and n is the number of terms.

Therefore, the sum of the arithmetic sequence is:

S = n/2(a + b)

⇒ 2S/n = (a + b)

⇒ b = (2S/n) - a

Learn more about an arithmetic sequence here: https://brainly.com/question/25715593

#Tag #SPJ2

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