Twice the difference of a number and 1 is 4 more than that number. Find the numbers using Polyas 4 step

Answers

Answer 1

Answer:

6

Step-by-step explanation:

2 times the difference of a number and 1 = 4 plus that number

In other to express the word problem Mathematically ; let the number = x

2(x - 1) = 4 + x

Expand

2x - 2 = 4 + x

Collect like terms

2x - x = 4 + 2

x = 6

Hence, the number is 6


Related Questions

add m to 8, then triple the result what expression would that be

Answers

Answer:

3(m+8)

Step-by-step explanation:

first you add m to 8, so you would do m+8. then you triple that, means multiply it by 3. so 3(m+8)

Answer:

(m+8)^3=m^3+512

Step-by-step explanation:

An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side

Answers

Answer: [tex]3\times \dfrac{P}{3}=P[/tex]

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]

i.e.

[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]

Estimate the value of 29.6 x 5.2

Answers

Answer:

29.6

Step-by-step explanation:

Solve the quadratic equation by using the quadratic formula. y=-8x^2+6x+3

a) 3±√33/8
b) 3±2√3/8
c) -6±√66/8
d) 3±i√3/4​

Answers

Answer:

A) -3±√33 / 8

Step-by-step explanation:

y = -8x²+6x+3

x = -b±√(b²-4ac) / 2a

x = -(6)±√((6)²-4(-8)(3)) / 2(-8)

x = -6±√(36+96) / -16

x = -6±√(132) / -16

x = -6±2√33 / -16

x = -3±√33 / 8

A would be the answer to this question

50.3 - 5.6 ÷ 0.7 × 1.6 of 3.5

Answers

Answer:

5.5 is the correct answer:)

Step-by-step explanation:

Hope this helped!!!

Omar puts $8,000 in a savings account. The account earns 6% simple interest each year. How much interest will Omar earn in 4 years?

Answers

Answer:

$1920

Step-by-step explanation:

Simple interest = principal x time x interest rate

8000 x 0.06 x 4 = $1920

11 times z=121

(11xz=121

Answers

Answer:

z will be11

11z = 121

z = 121/11

z= 11

Answer:

1=121= 11

Step-by-step explanation:

The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?

Answers

Answer:

The original fraction is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Let the numerator by X

Denominator is three more than its numerator i.e X +3

When both the numerator and denominator are increased by one the fraction becomes 1/2

[tex]\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2[/tex]

Thus, numerator = 2

Denominator = X +3 = 2+3 = 5

The original fraction is [tex]\frac{2}{5}[/tex]

Identify the slope of x = 9, then complete a
table of values for the equation.

Answers

Answer:

It's undefined since it's a vertical line.

Step-by-step explanation:

find the value of x. round to the nearest tenth. side length 16. angle 35. view picture below.​

Answers

Answer:

[tex]\displaystyle x \approx 9.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:  

Step 1: Define

Angle θ = 35°

Opposite leg = x

Hypotenuse = 16

Step 2: Solve for x

Substitute in variables [Sine]:                                                                          [tex]\displaystyle sin35^\circ = \frac{x}{16}[/tex][Multiplication Property of Equality] Isolate x:                                                [tex]\displaystyle 16sin35^\circ = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 16sin35^\circ[/tex]Evaluate trig:                                                                                                     [tex]\displaystyle x = 16(0.573576)[/tex]Multiply:                                                                                                             [tex]\displaystyle x = 9.17722[/tex]Round:                                                                                                               [tex]\displaystyle x \approx 9.2[/tex]

Help me!! pleaseee and thank uuu!

Answers

Answer:

B

Step-by-step explanation:

Answer:

d don't know how to explain it but i think its d

The expression x2 - 10x + 24 is equivalent to (1) (x + 12)(x - 2) (3) (x + 6)(x + 4) (2) (x - 12)(x + 2) (4) (x - 6)(x - 4)

Answers

Answer:

D) (x-6)(x-4)

Step-by-step explanation:

(x-6)(x-4)=x^2-6x-4x+24=x^2-10x+24

Question 3
What is the slope of the line?
Please

Answers

Answer:

2

Step-by-step explanation:

Which two triangles below are similar?

Answers

Answer:

Triangle A and B

Step-by-step explanation:

Both triangles have two same angles.

If Triangle A is rotated like Triangle B, they would be the same.

Vice versa, if Triangle B is rotated like Triangle A, it would be the same.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer :A & B because they both are the same if you flip it over

x2 – 7x + 6 = -8
solve using factoring

Answers

Answer:

Step-by-step explanation:

Rewrite this in standard quadratic equation form:  x^2 - 7x +  6 + 8 = 0, or x^2 - 7x + 14 = 0.  This does not factor easily, so I will use the quadratic formula to find the roots and then write out the factors based upon the roots:

The discriminant is b^2 - 4ac, which here is (-7)^2 - 4(1)(14) = -7.

Because the discriminant is negative, we know that there are two unequal, complex roots.  They are:

      -(-7) ± i√7         7 ± i√7

x = ----------------- = ---------------

              2                     2

One factor is (x - [1/2]{7 ± √7}  )

equilivent to (9^−2)^8?

Answers

Answer:

9^5

Step-by-step explanation:

One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?​

Answers

Step-by-step explanation:

One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.

What is the cost of one sandwich?

Answer:

One sandwich costs $30

One juice costs $10

which expression fits this description??

Answers

Answer:

Step-by-step explanation:

We can immediately assume that the answer is either the first or third one based off of the second statement. A product is the result of multiplication, and if you see a number and letter together like in the first and third answers, it means they are to be multiplied. For example, 2a = 2 x a. With the first statement, there are 2 terms in all of the equations so that's no help, but the word sum is the result of addition. In which all two terms are added, so . . . also no help. :( Now the last statement. The thing that will conclude all of your questions. A quotient is the result of division, and it's supposed to be between b and 4. As we can see, in the third equation, they subtract b and 4. That's not division! So that leaves us with one answer. The first equation. . .

Two angles meet at a point on a straight line. One of the angles is 43o

. Work out the size of the other angle.

Answers

Answer:

d

Step-by-step explanation:

How do I solve this please help no links

Answers

9514 1404 393

Answer:

  $735

Step-by-step explanation:

We assume the cover needs to cover the pool only, not any extra area around the pool.

The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*

The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.

  A = LW

  A = (70 ft)(35 ft) = 2450 ft²

Then the cost is ...

  C = ($0.30/ft²)(2450 ft²) = $735

The cost to buy a pool cover is $735.

__

* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.

how many times can 495 go into 156​

Answers

Answer:

0

Step-by-step explanation:

Answer:

0.315 times

Step-by-step explanation:

156÷495 ≈ 0.315

Have a good day :)

find the vertex of f(x) = -x² + 2x + 7​

Answers

Answer: There are no like terms.

Answer:=−x^2+2x+7

Step-by-step explanation: Hope this help :D

Answer:

the answer is [1/5,36/5]

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

Answers

Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”

Which is the equation of a parabola with vertex (0, 0), that opens to the left and
has a focal width of 12?
a. y2 = 12x
b. y2 = -12x
c.x = 12y
d. x = -12y

Answers

Answer:

Step-by-step explanation:

I'm going to guess that the square  exponents are on the top y's   only?   then answer b) looks good

Answer:

b. y^2 = -12x

Step-by-step explanation:

The general form for  the given parabola is y^2 = -4ax where the focus is at (-a, 0). The focal width is 4a which in this case = 12.

Help please!you’ll get 15 points.

Answers

Answer:

-3,9

Step-by-step explanation:

ASAP!!!!!!
WITH EXPLANATION
simple interest on a certain amount of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5% per annum by ₹285,find the sum​

Answers

are u from india ??????????

Carmina bought 20 pizzas for her party an hour after the party started 2/7 of the pizzas had been eaten how many pizzas have been eaten make an equation to solve a word problem.

Answers

Answer:

pizzas eaten =2/7 x 20

5 5/7 pizzas have been eaten

Step-by-step explanation:

pizzas eaten = 2/7 x 20

40 / 7 = 5 5/7


What is the solution to
(y = 3x - 30
x2 + y2 = 100

Answers

Answer:

x = 20

y = 30

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

y = 3x - 30

2x + 2y = 100

2x + 2(3x - 30) = 100

2x + 6x - 60 = 100

8x - 60 = 100

8x = 160

x = 20

y = 3(20) - 30

y = 60 - 30

y = 30

Can someone please solve these?

Answers

Answer:

Step-by-step explanation:

h = -6[tex]t^{2}[/tex] +20t + 4

I will use calculus,  maybe that's not how you're supposed to do this

-12t +20 =0

12t = 20

t = 20 /12

t = 1 [tex]\frac{8}{12}[/tex]

t = 1 [tex]\frac{2}{3}[/tex]

there will be a max at  1.6666666666  seconds

-6*[tex]1.6666666666666^{2}[/tex]  + 20 * 1.6666666666  +4

= 16.666666666666 + 33.333333333333 + 4

= - 16[tex]\frac{2}{3}[/tex] + 33 [tex]\frac{1}{3}[/tex] + 4

= 20[tex]\frac{2}{3}[/tex]  feet max height ( not too high,  for a rocket)

time of flight:

0 = -6[tex]t^{2}[/tex] +20t + 4

use quadratic formula to find t

-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*4 ] / 2*(-6)

-20 +- sqrt [400 + 96 ] / -12

-20 +- sqrt [496 ] / -12

-20 +- 22.27105 / -12

try the negative option 1st

-42.27105 / -12

3.522 seconds.     time of flight

when will the rocket be at 12' ? :

12 = -6[tex]t^{2}[/tex] +20t + 4

0 = -6[tex]t^{2}[/tex] +20t -8

use quadratic formula again to find t

-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*(-8) ] / 2*(-6)

-20 +- sqrt [ 400 - 192 ] / -12

-20 +- sqrt [208 ] / -12

-20 - 14.4222 / -12

-34.4222 / -12

2.8685 seconds ( on the way down)

and

-20 + 14.4222 / -12

-5.578 / - 12

0.4648  seconds ( on the way up )

A 20 cup fruit salad that is 15% strawberries is in a large container

Answers

Answer:5

Step-by-step explanation:

Answer:

15/100 x 20 = 3

Step-by-step explanation:

15 percent of 20 is 3.

Consider 15 out of 100 since a percent is always considered out of hundred.

15

___ x 20 =

100

First thing is first, we ALWAYS have to find what the percent is of and its of 20 fruits.

So 15/100 x 20 would be your equation

we can simplify

15

___ x 20 ------> 1 =   15

100 -----> 5               ___ x 1 = 3

                                  5

To simplify we can divide by 20 on the denominator and the factor.

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