The sum of an integer and 6 times the next consecutive integer is -50. Find the
value of the greater integer.
Answer:
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Dar

The value of the number is 9

From the question, we are to determine the number

From the given information,

"3 times a number is increased by 22"

Let the number be x

Thus,

3x + 22

"the result is 14 less than 7 times the number"

That is,

3x + 22 = 7x - 14

Now, solve the equation

3x + 22 = 7x - 14

22 + 14 = 7x - 3x

36 = 4x

x = 36/4

x = 9

Hence, the value of the number is 9

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Answers

1.1) So, we're given that 6cm is 15 ft to scale. That means that every 2cm = 5ft. So, the dimensions of her room are 5ft x 10ft.

1.2) In square feet that makes 15 (length*width)

1.3) We want a 3-foot wide couch (1/5 of 15) which means it will be 1/5 of 6cm, which equals 1.2 cm wide.

Not all rhombus can be inscribed in a circle until the rhombus has four   90º angles which is a  square.

A rhombus can only be can be inscribed in a circle. basically  the opposite angles there  in the rhombus are congruent. if the opposite angles are not supplementary, that rhombus cannot be encircled,  while that rhombus had four  90º angles, which means if it is a square, as in general a rhombus has two diagonals that are not equal except square so the endpoints of the shorter diagonal would not be points on the circle.

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Answer: 25/12

Step-by-step explanation:

If-then form of the given statement : an acute angle measures less than 90 will be : If an angle is an acute angle, then the angle measures less than 90 degrees.

We can understand this problem by using  the above statement as an example like :

If an angle is an acute angle, then the angle measures less than 90 degrees. The part after if : an angle is an acute angle is called a hypotheses and the part after then : the angle measures less than 90 degrees is called a conclusion.

Hypotheses followed by a conclusion is called an If-then statement or a conditional statement.

This is noted as :

p → q

This is read - if p then q.

A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said  "If an angle is an acute angle, then the angle does not measure less than 90 degrees."

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Answer:

[tex]6/17[/tex]

Step-by-step explanation:

I assume you want the question in the picture solved as your written question is different but appears to be copied and pasted from the text.

1. When adding fractions the denominator (number on the bottom) must be the same between the two fractions, i.e. having a common denominator. In this case they are already the same, that is, 17 and 17. Just add the top numbers (numerators) together, and leave the denominator the same. So,

[tex]\frac{3}{17} +\frac{3}{17} =\frac{6}{17}[/tex]

The expression for the total number of pies baked in the two years is 156 + d

Algebraic expressions can be defined as expressions composed of variables, terms, factors, coefficients and constants.

They  are also made up of mathematical operations such as division, addition, subtraction, multiplication, etc

From the information given, we have;

The expression is written as;

Total number of baked pies = 156 + d

Thus, the expression for the total number of pies baked in the two years is 156 + d

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If point D is located on the line MV, then the ratio that relates MD to DV is 3 : 1

The given parameters are

Calculate the distance between point D and point M using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have

MD = √(-6 - 0)^2 + (3 + 3/4)^2

Calculate the distance between point D and point V using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have

DV = √(2 - 0)^2 + (-2 + 3/4)^2

The ratio that relates MD to DV is represented as

Ratio = MD : DV

So, we have

MD : DV = √(-6 - 0)^2 + (3 + 3/4)^2 : √(2 - 0)^2 + (-2 + 3/4)^2

This gives

MD : DV = √(-6)^2 + (3 3/4)^2 : √(2)^2 + (-1 1/4)^2

Evaluate the exponents

MD : DV = √[36 + 225/16] : √[4 + 25/16]

Evaluate the sum

MD : DV = √[801/16] : √[89/16]

Divide ratios by √[89/16]

MD : DV = √9 : √1

Evaluate the exponent

MD : DV = 3 : 1

Hence, the ratio that relates MD to DV is 3 : 1

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The volume of the larger suitcase, a rectangular prism 85 centimeters long, is 168,539.1 cubic cm.

Solids of the same type that have proportional corresponding linear

measures are similar solids. In the case of similar rectangular prisms:

length of A / length  of B = width of A / width of B = height of A / height of B

Using this scale, if the larger suitcase is 85 centimeters long, and the smaller suitcase is 68 centimeters long, 47 centimeters wide, and 27 centimeters deep, then:

length of larger suitcase / length of smaller suitcase = 85 cm / 68 cm = 5/4

width of larger suitcase / width of smaller suitcase = 5/4

width of larger suitcase = 5/4 (47 cm)

width of larger suitcase = 58.75 cm

depth of larger suitcase / depth of smaller suitcase = 5/4

depth of larger suitcase = 5/4 (27 cm)

depth of larger suitcase = 33.75 cm

Solving for the volume of the larger suitcase using the formula for the volume of rectangular prism:

V = lwh

V = 85 cm (58.75 cm) (33.75 cm)

V = 168,539.0625 cubic cm

Rounding off to the nearest tenth.

V = 168,539.1 cubic cm

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Answer:

68 degrees higher.

Step-by-step explanation:

You have to start at negative ( -11 to 0 ) which is already 11 degrees and then you need to count how much degrees from 0 to 57.

Answer: 68°F warmer was the temperature in Los Angeles

Step-by-step explanation:

[tex]57^0F-(-11^0F)=\\\\57^0F+11^0F=\\\\68^0F[/tex]

There are 126 ways a student can select 5 questions from an exam containing 9 questions

The given parameters are

Total questions, n = 9

Selected question, r = 5

The number of ways is calculated as

Ways = nCr

This gives

Ways = 9C5

Apply the combination formula

Ways = 9!/5!4!

Evaluate

Ways = 126

Hence, there are 126 ways a student can select 5 questions from an exam containing 9 questions

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Answer:

2; 11; 17; 23

Step-by-step explanation:

when you have an x you plug it in for the y

so

for the first one

you do

y = 3(1) - 1

y = 3 - 1

y = 2

that is the first one

you do this for the next 3 too

y = 3(4) - 1

y = 12 - 1

y = 11

y = 3(6) - 1

y = 18 - 1

y = 17

y = 3(8) - 1

y = 24 - 1

y = 23

those are your answer

Answer:

24 [tex]cm^{2}[/tex]

Step-by-step explanation:

a = [tex]\frac{bh}{2}[/tex]

We have the base, we need the height.  Use the Pythagorean Theorem

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]6^{2}[/tex] + [tex]b^{2}[/tex] = [tex]10^{2}[/tex]

36 + [tex]b^{2}[/tex] = 100  Subtract 36 from both sides

[tex]b^{2}[/tex] = 64

[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{64}[/tex]

b = 8

a = [tex]\frac{bh}{2}[/tex]

a =[tex]\frac{6x8}{2}[/tex] =[tex]\frac{48}{2}[/tex] = 24

By substitution, the solution of the system of equations, 3x - y = 5 and y = 4x + 2, is (-7 , -26).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Given two linear equations in x and y,

3x - y = 5     (equation 1)

y = 4x + 2     (equation 2)

Use substitution method since the second equation is already expressed in y in terms of x. Substitute the value of y to the first equation.

3x - y = 5     (equation 1)

3x - (4x + 2) = 5

3x - 4x - 2 = 5

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solve for x.

3x - 4x - 2 = 5

3x - 4x = 5 + 2

-x = 7

x = -7

Substitute the value of x in the second equation and solve for y.

y = 4x + 2     (equation 2)

y = 4(-7) + 2

y = -28 + 2

y = -26

Hence, the solution of the given system of equations is (-7 , -26).

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Answer:

Step-by-step explanation:

350 * 40% = 140 (MATH)

350 * 10% = 35 (ENGLISH)

350 * 25% = 87.5 so about 88 (SCIENCE)

350 * 10% = 35 (MUSIC)

350 * 15% = 52.5 also about 53 (HISTORY)

Answer:

False

Step-by-step explanation:

Let's just analyze it.

x=2 if and only if |x|=2

That can be rewritten as:

if x = 2 then |x| = 2

AND

if |x| = 2 then x = 2

Let's solve each one separately:

we have x = 2

we can simply get |x| by removing the sign, if any. There is none, so |x| = 2.

The first part checks out.

we have |x| = 2

As with absolute values, this means that either x = 2 or x = -2

So we know from |x| that x is either 2 or -2, but the logical statement said "if |x| = 2 then x = 2", which is too specific - it forgets about -2.

The second part is false.

Overall, we now know that "X=2 if and only if |x| = 2" is false because x = -2 is a counterexample. We get: "False if and only if True" which itself is false.

Answer:

Step-by-step explanation:

an area of a rectangle is

A= LW

A=51/2 (3)

A= 153/2

A= 76.5 ft

The solutions of the trigonometric equation are x₁ = π / 6 and x₂ = 5π / 3.

In this problem we find a trigonometric equation which has to be simplified and solved for x to find the family of solutions within the given interval:

csc x · tan x = 2√3 / 3

(1 / sin x) · (sin x / cos x) = 2√3 / 3

1 / cos x = 2√3 / 3

cos x = 3 / 2√3

cos x = √3 / 2

Then, by inverse trigonometric functions:

x₁ = π / 6, x₂ = 5π / 3

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Answer:

f = 1

Step-by-step explanation:

-9 + 8f = -6 + 5f

move variables

-9 + 6 = -3

-3 + 8f = 5f

5f - 8f = -3f

-3 = -3f

divide by -3

f = 1

For the equation (4 x + 7)° = (2 x + 5)°, we get the value of x as - 1.

We are given an equation as:

(4 x + 7)° = (2 x + 5)°

We need to solve this equation to find the value of the variable x.

We first will subtract 7 from both the sides:

4 x + 7 - 7 = 2 x + 5 - 7

4 x = 2 x - 2

Now Subtract 2 x from both the sides:

4 x - 2 x = 2 x - 2 - 2 x

2 x = - 2

Divide both sides by 2

2 x / 2 = - 2 / 2

x = - 1

Therefore, for the equation (4 x + 7)° = (2 x + 5)°, we get the value of x as - 1.

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Answer:

There is nothing to refer to

Step-by-step explanation:

According to the given statement;

Amount is deducted from his pay per week for Medicare, which is taxed at 1.45 percent is $8.35

Gross pay is the sum of a person's earnings during a specific time period before any deductions are made. The calculation of gross pay does not take into account deductions for employer-provided health insurance, retirement plans, or compulsory taxes and Medicare contributions. Since it does not reflect a person's take-home pay, the gross pay definition is different from the one for net pay.

According to the given value;

Dalton's gross pay = 576

his medicare tax rate = 1.45% = 0.0145

the tax on his medicare = 0.0145 x 576 = $8.35

Hence,Amount is deducted from his pay per week for Medicare, which is taxed at 1.45 percent is $8.35

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Answer:6.25

Step-by-step explanation:25/4=6.25 hope this helps

The number of Earths needed have a total mass of 1 googol kilograms is 1.67 x [tex]10^{75}[/tex].

Scientific notation is used to compress large numbers in smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.For example: 1 x 10² is equivalent to 100

A googol in scientific notation is 1 x [tex]10^{100}[/tex]

The number of Earths needed have a total mass of 1 googol kilograms =

(1 x [tex]10^{100}[/tex])  ÷ (5.972 ×[tex]10^{24}[/tex])

(1 ÷ 5.972) x ([tex]10^{100 - 24}[/tex])

0.16745 x [tex]10^{76}[/tex]

= 1.67 x [tex]10^{75}[/tex]

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The equation of a line with slope = 3 and y-intercept = (0,2) is: y = 3x + 2

Now,

Given:

To find: Equation of the line

Finding:

=> y = 3x + 2, which the required equation of the line.

Hence, The equation of a line with slope = 3 and y-intercept = (0,2) is: y = 3x + 2.

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The required value of y is 5/8.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant  of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of y

let k be the constant of proportion

When a quantity varies directly with others, then we have a relation, y = kx      —-- 1

Now, find k for given x = 4 and y = ½, we need to put these values in equation 1, i.e.

½ = k(4)

k = ⅛

Further calculate y for given x = 5 and constant of proportion, k = 1/8 i.e.

y = (⅛)(5)

y = 5/8

Hence, the required value of y is 5/8.

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Using the segment addition postulate, the values are:

a. y = 6

b. RS = 50

ST = 29

Based on the segment addition postulate, the following equation is true which we can use in finding the missing measures:

RS + ST = RT.

Given:

RS = 8y + 2,

ST = 4y + 5,

RT = 79.

a. Plug in the given values into RS + ST = RT:

8y + 2 + 4y + 5 = 79

12y + 7 = 79

12y = 79 - 7

12y = 72

y = 6

b. RS = 8y + 2 = 8(6) + 2

RS = 50

ST = 4y + 5 = 4(6) + 5

ST = 29

Thus, using the segment addition postulate, the values are:

a. y = 6

b. RS = 50

ST = 29

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Hi ~

* ˚ ✦ E x p l a n a t i o n : - * ˚ ✦

Combine multiplied terms into a single fraction.

[tex]\bold{(\frac{1}{2} \: a \: + \: 2d)^2}[/tex]

[tex]\bold{(\frac{1a}{2} \: + \: 2d)^2}[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Multiply by 1.

[tex]\bold{(\frac{1a}{2} \: + \: 2d)^2}[/tex]

[tex]\bold{(\frac{a}{2} \: + \: 2d)^2}[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Find common denominator.

[tex]\bold{(\frac{a}{2} \: + \: 2d)^2}[/tex]

[tex]\bold{(\frac{a}{2} \: + \: \frac{2 \: ^. \: 2d}{y})^2}[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Combine fractions with common denominator.

[tex]\bold{(\frac{a}{2} \: + \: \frac{2 \: ^. \: 2d}{y})^2}[/tex]

[tex]\bold{(\frac{a \: + \: 4}{2})^2}[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Multiply the numbers.

[tex]\bold{(\frac{a \: + \: 2 \: ^. \: 2d}{2})^2}[/tex]

[tex]\bold{\frac{(a \: + \: 4d \: ^. \: 2d)}{2^2}^2}[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Distribute exponent.

[tex]\bold{(\frac{a \: + \: 4d}{2}^2)}}[/tex]

[tex]\bold{\frac{(a \: + \: 4d)}{2}^2}[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Evaluate the exponent.

[tex]\bold{\frac{(a \: + \: 4d)}{2^2}^2}}[/tex]

[tex]\bold{\frac{(a \: + \: 4d)}{4}^2}}[/tex]

Your answer would be is:

[tex]{\huge{\boxed{\bold{{\rightarrow{\frac{(a \: + \: 4d)}{4}^2}}}}[/tex]

Hope It Helps...

[tex]\textsc{Answer:}[/tex]

TheAestheticGirl