If the product of a number and -5 is reduced by 2, the result is 26 less than twice the opposite of the number. What is the
number?

Answers

Answer 1

Answer:

(-5n)-2=26-2n

Step-by-step explanation:

i think -9 1/3

Answer 2

well, let's say that number is "a", so it's opposite will just be "-a".

what's that number times -5?

-5*a => -5a

let's reduce that by 2

-5a -2

what would it be twice the opposite of it?

2(-a)

what is it 26 less than that?

2(-a) - 26.

[tex]-5a-2=2(-a)-26\implies -5a-2=-2a-26\implies -2=3a-26 \\\\\\ 24=3a\implies \cfrac{24}{3}=a\implies \boxed{8=a}[/tex]


Related Questions

Which graph or graphs show that a 5 minute phone call costs $4?

Answers

The graph should show an increase of $ 0.80 for every minute that the call lasts.

A 5 minute phone call costs $ 4, with which, to determine the information that the graph should show, the following calculation must be performed:

4/5 = X 0.80 = X

Therefore, the graph should show an increase of $ 0.80 for every minute that the call lasts.

Learn more about maths in https://brainly.com/question/25834039

Answer:

Step-by-step explanation:

A rectangular cube of iron is a side 8 cm. What is it volume.​

Answers

A rectangular cube of iron is a side 8 cm.Given, side (a) = 8 cm.We know, volume of a cube [tex] = {a}^{3} [/tex]Therefore, the volume

[tex] = {8}^{3} \: \: cm ^{3} \\ = 512 \: \: {cm}^{3} [/tex]

Answer:

The volume is 512 cube centimetres.

Hope you could get an idea from here.

Doubt clarification - use comment section.

What is the product of 10 x 10 x 10, using an exponent? ​

Answers

Answer:

10^3

Step-by-step explanation:

Answer:

10³

Step-by-step explanation:

10 × 10 × 10 = 10³

The sum of the angles of a triangle is 180 degrees. The second angle is 40 degrees more than the first
angle and the third angle is 5 times the measure of the first angle. What is the measure of the largest
angle?

Answers

Answer:

100⁰

Step-by-step explanation:

Let,

First angle = x

Second angle = x + 40

Third angle = 5x

=> x + x + 40 + 5x = 180

=> 7x + 40 = 180

=> 7x = 180 - 40

=> 7x = 140

=> x = 140/7

=> x = 20

Largest angle = 5x = 5(20) = 100⁰

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

First angle = x

Second angle = x + 40

Third angle = 5x

[tex]:\implies\bf{x + x + 40 + 5x = 180} \\ \\ :\implies\bf{7x + 40 = 180} \\ \\ :\implies\bf{7x = 180 - 40} \\ \\ :\implies\bf{7x = 140} \\ \\ :\implies\bf{x = \frac{140}{7} } \\ \\ :\implies\bf{x = 20}[/tex]

The largest angle above is 5x thus,

[tex]:\implies\bf{5x} \\ \\ :\implies\bf{5 \times 20} \\ \\ :\implies\bf{100^°}[/tex]

Jimena runs 2/3 of a mile in 1/6 of an hour. how far can she go in an hour?

Answers

Answer:

4 miles

Step-by-step explanation:

6*(1/6) = 1 hour

6*(2/3) = 4 miles

Answer:

4 miles

Step-by-step explanation:

You are finding the rate. The formula for this equation is Rate=Distance/Time.

Your distance is 2/3, and your time is 1/6.

You divide 2/3 by 1/6 to get your answer of 4

are 6/12 and 12/24 equavilent​

Answers

Answer:

yes because they're both half of each other

Answer:

Yes

Step-by-step explanation:

what is the value of x

Answers

Answer:

x = 32

Step-by-step explanation:

this is an equilateral triangle where all sides measure the same value; therefore, 2x-4 = 5y

since we are solving for 'x' we can set up this equation:

3(2x-4) = 180

6x - 12 = 180

6x = 192

x = 32

Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks

Mrs. McMillan, the PE, teacher, is pairing off students to race against each other. Heather can
run 4 meters per second, and Erin can run 5 meters per second, Mrs. McMillan decides to give Heather a head start of 23 meters since she runs more slowly. Once the students start
running, Erin will quickly catch up to Heather. How far will Erin have to run? How long will
that take?

Please help.

Answers

Answer:

23 seconds later Erin will catch up

Erin will run 115 meters

Step-by-step explanation:

23+4x=5x

x=23

23 seconds later Erin will catch up

Erin will run 115 meters

Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.

Answers

Answer:

13 ft^2

Step-by-step explanation:

Area = Base * Height

= 3 * (4+1/3)

=3*(13/3)

=13

Describe what is meant by the operation of division using the terms dividend , divisor , and quotient

Answers

Answer:

Dividend: Number on top

Divisor: Number on bottom

Quotient: Answer

Dividend ÷ Divisor = Quotient

Use the table. What is the total amount of electricity a computer, a television, and a heater use in 1 hour? Show your work.

Answers

Answer:

Step-by-step explanation:

Rick's Phone Service charges $12.52 for an activation fee plus $6 for every gigabyte (g) used.

Which of the following graphs models the situation?

(Please, help me I will do everything I can to boost you.. It's been a rough night of homework.)

Answers

Answer:

d

Step-by-step explanation:

same explanation as before just replace the current values with the previous explanation

Answer:

After a quick stint of attempting to read the graphs I would speculate D

A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey is of 70km, how far did he travel by train?​

Answers

Answer:

The man traveled 20km by train.

Step-by-step explanation:

If x is the distance he traveled by train, you can write this equation to represent the situation:

[tex]10+x+2x=70[/tex]

Then, you can simply solve for x:

[tex]10+3x=70\\3x=60\\x=20[/tex]

The man traveled 20km by train.

[tex]10+(20)+2(20)=70\\10+20+40=70\\70=70[/tex]

Jen is on the platform of her boat. She sights the top of a lighthouse at an angle of 30º as shown below. She knows that the height of the lighthouse is 50 meters.


How far is Jen from the base of the lighthouse, in meters?

Answers

The distance Jen is from the base of the lighthouse is 86.6 meters.

Trigonometric ratio is used to show the relationship between the sides of a and angles of a right angled triangle.

Let d represent the distance Jen is from the base of the lighthouse.

Using trigonometric ratios:

[tex]tan(30)=\frac{50}{d} \\\\d=\frac{50}{tan(30)} \\\\d=86.6\ m[/tex]

The distance Jen is from the base of the lighthouse is 86.6 meters.

Find out more on Trigonometric ratio at: https://brainly.com/question/10417664

h=-16t^2+72t+100 solve for t

Answers

Answer:0

Step-by-step explanation:

hey i'm in the six grade i'm not sure but pls try it

Let S1= 1, S2=2+3, S3= 4+5+6
Find S7
Find S17
Find Sn

Answers

Answer:

S7 = 175S17 = 2465Sn = 1/2(n³ +n)

Step-by-step explanation:

The progression of sums is ...

  1, 5, 15, 34, 65, ...

So, first differences are ...

  4, 10, 19, 31

Second differences are ...

  6, 9, 12, ...

Third differences are constant:

  3, 3, ...

This means the expression for Sn will be a cubic expression. If dn is the first of the n-th differences, then the equation can be written as ...

  Sn = S1 +(n -1)(d1 +(n -2)/2(d2 +(n -3)/3(d3)))

And this simplifies a little bit to ...

  Sn = 1 +(n -1)(4 +(n -2)(n +3)/2)

In simpler form, we have ...

  Sn = 1/2(n³ +n)

Then the two terms we're interested in are ...

  S7 = (1/2)(7³ +7) = 175

  S17 = (1/2)(17³ +17) = 2465

Each term Sₙ consists of the sum of a triangular number of terms, which are given by

[tex]T_n = \displaystyle \sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

The triangular numbers are given recursively for n ≥ 1 by

[tex]T_n = T_{n-1} + n[/tex]

starting with T₀ = 0.

For example,

• S₁ = 1 and

[tex]\displaystyle S_1 = \sum_{k=T_0+1}^{T_1} k = \sum_{k=1}^1 k = 1[/tex]

• S₂ = 2 + 3 and

[tex]\displaystyle S_2 = \sum_{k=T_1+1}^{T_2} k = \sum_{k=2}^3 k = 2 + 3[/tex]

• S₃ = 4 + 5 + 6 and

[tex]\displaystyle S_3 = \sum_{k=T_2+1}^{T_3} k = \sum_{k=4}^6 k = 4 + 5 + 6[/tex]

Then the n-th term of the sequence we're considering is

[tex]S_n = \displaystyle \sum_{k=T_{n-1}+1}^{T_n} k = \sum_{k=T_{n-1}+1}^{T_{n-1}+n} k[/tex]

Expanding this sum, we have

[tex]S_n = \left(T_{n-1}+1\right) + \left(T_{n-1}+2\right) + \left(T_{n-1}+3\right) + \cdots + \left(T_{n-1}+n\right)[/tex]

There are n terms on the right side, and hence n copies of [tex]T_{n-1}[/tex], and the rest of the terms make up the next triangular number [tex]T_n[/tex] :

[tex]S_n = nT_{n-1} + 1 + 2 + 3 + \cdots + n[/tex]

[tex]S_n = nT_{n-1} + \displaystyle \sum_{k=1}^n k[/tex]

[tex]S_n = nT_{n-1} + T_n[/tex]

We have a closed form for [tex]T_n[/tex], so we end up with

[tex]S_n = n \cdot \dfrac{(n-1)n}2 + \dfrac{n(n+1)}2 \implies \boxed{S_n=\dfrac{n^3+n}2}[/tex]

From here it's easy to find S₇ and S₁₇.

[tex]S_7 = \dfrac{7^3+7}2 \implies \boxed{S_7 = 175}[/tex]

[tex]S_{17} = \dfrac{17^3+17}2 \implies \boxed{S_{17} = 2465}[/tex]

please help me out on this one​

Answers

Answer:

6/6 or 1

Step-by-step explanation:

bow tie method

The answer is A but I couldn’t tell you why. If someone know, please let me know.

Answers

Answer:

a.0.311

Step-by-step explanation:

BRAINLIEST ANSWER

help me please please​

Answers

Answer:

alr yeah i get it now

Step-by-step explanation:

its A 11/14

Answer:

[tex]\frac{11}{14}[/tex]

Step-by-step explanation:

[tex]\frac{2}{7}[/tex] + [tex]\frac{7}{14}[/tex]

Before adding er require the fractions to have the same denominators.

Multiply the numerator/ denominator of the first fraction by 2

= [tex]\frac{2(2)}{7(2)}[/tex] + [tex]\frac{7}{14}[/tex]

=[tex]\frac{4}{14}[/tex] + [tex]\frac{7}{14}[/tex]  ( now add numerators leaving the common denominator )

= [tex]\frac{4+7}{14}[/tex]

= [tex]\frac{11}{14}[/tex]

3----2 = 7
5----4 = 23
7----6 = 47
9----8 = 79
And 19----9 = ??????​

Answers

Answer:

i think 179

Step-by-step explanation:

(3×2)+(2-1) = 7

(5×4)+(4-1) = 23

(7×6)+(6-1) = 47

(9×8)+(8-1) = 79

so 19----9 = (19×9)+(9-1) = 171+8 = 179

Help help help help math

Answers

Answer:

10.

Step-by-step explanation:

X is often associated with the value of "independent variable"

y=20-2(5)

y=20-10

y=10

A sports store has jerseys representing the seven Canadian NHL teams and the eight Canadian CFL teams. Five of these jerseys have to be chosen for display in a store window. The store owner decides to choose three NHL and two CFL jerseys. These jerseys will be arranged in a row in the store window.

The number of displays that can be made by choosing the jerseys and then arranging them in the window is

A. 4900
B. 11 760
C. 117600
D. 1411 200
The answer key says the right Answer is (C), I just don't know how to get there. ​

Answers

Answer:

possible arrangements

CCNNN

CNCNN

CNNCN

CNNNC

NCCNN

NCNCN

NCNNC

NNCCN

NNCNC

NNNCC

Ten ways to arrange the window

for any one of these there are

NHL

7 ways to fill the first position

6 ways to fill the second

5 ways to fill the third

7•6•5 = 210 ways to select the NHL jerseys

CFL

8 ways to fill the first position

7 ways to fill the second

8•7 = 56 ways to select the CFL jerseys

210•56 = 11760 ways to select a set of 5 jerseys

11760•10 = 117 600 possible ways to arrange the window

Explain how the ratios 5 tacos for every 2 guest and 2 tacos for every 5 guests are different. Include a model in your explanation.

Answers

Answer:

5 tacos for 2 guests would mean more for each person, while 2 tacos for 5 guests would mean less for each person

Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x ≥ 72)?

A. 0.84
B. 0.975
C. 0.025
D. 0.16

Answers

Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,

P(72 ≤ x ≤ 86) ≈ 0.65

Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.

P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)

but since the sum of these make up P(72 ≤ x ≤ 86), we find

P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325

Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,

P(x ≥ 79) = 0.5

It follows that

P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)

P(x ≥ 72) = 0.325 + 0.5

P(x ≥ 72) = 0.825 ≈ 0.84

Answer: 0.84

Step-by-step explanation:

21
4x + 5
E
חו
What is the value of x?

Answers

Answer:

don't know

Step-by-step explanation:

A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.

What is the volume of the desk drawer?

Enter your answer in the box.

Answers

Answer:

1470 inches cubed

Step-by-step explanation:

Vol=length × width × height

But ALSO,

length × width = Area,

So we find another Volume equation,

Vol = BaseArea × height

This is the information you are given in the question.

Vol = 210 × 7

Vol = 1470 inches cubed

Dog food is sold in 7 pound bags. Sketch
a graph to show the weight of dog food
purchased by a customer who buys 0, 1, 2, 3, or 4 bags. Tell whether the graph is continuous or discrete.

Answers

Answer:

Continuous

Step-by-step explanation:

(SAT Prep) Find the value of x

Answers

Answer:

x = 36

Step-by-step explanation:

3x+2x=180

5x=180

x=36

Answer:

x=36 degrees

Step-by-step explanation:

Find the value of a
I’m decided go between 40 and 6.4

Answers

a = 10
Since the triangles are similar, you can set up a proportion using the corresponding sides and solve.
(16/8 = 20/a)
Hope this helps!

Write an eighth-degree polynomial in factored form that is decreasing at both ends , has a single root at -2, a double root at 3 and 0 and triple root at -1

Answers

Answer:

Step-by-step explanation:

y = -1(x + 2)(x - 3)(x - 3)(x + 0)(x + 0)(x + 1)(x + 1)(x + 1)

The 8 degree polynomial for the given roots can be written as  p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

What is factor theorem?

The factor theorem states that for a polynomial p(x) if there exists a real number a such that p(a) = 0, then (x - a) is one of the factors of p(x).

The roots of the polynomial are given as follows,

Number of roots at -2 = 1

Number of roots at 3 = 2

Number of roots at 0 = 2

And, number of roots at -1 = 3.

Now, the polynomial can be written using factor theorem as,

p(x) = x²(x + 2)(x - 3)²(x + 1)³

      = x²(x + 2)(x²- 6x + 9)(x³ + 3x² + 3x + 1)

      = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x²

Hence, the polynomial for given roots can be written as p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

To know more about factor theorem click on,

https://brainly.com/question/13547729

#SPJ2

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