Write the statements of the following algebraic expressions!
A- a+1
B- q-9
C- 3y+7
D- x/3+9
E- 3x+10

Answer:

5% of his coins is 7

Step-by-step explanation:

140 X 0.05 = 7

Answer:

(a) the law of cosines

(b) approximately 6

Step-by-step explanation:

Check out the attached photo.

Answer:

An integer is a WHOLE number. No fractions and no decimals. so it would be... no, yes, yes, no, yes

Step-by-step explanation:

To clarify because they try to be tricky here. 27/3 is actually equal to 9 when simplified. Same thing with 40/8... when simplified it equals 5. Both are whole numbers and therefore integers.

Answer:

-76 is an integer and 27/3 and 40/8 could also be as well

Step-by-step explanation:

27/3 is and integer because if you simplify it, it equals 9, an integer. Same for 40/8, it equals 5.

Answer:

See below

Step-by-step explanation:

The change of base formula for logarithms is [tex]\log_a(x)=\frac{\log_b(x)}{\log_b(a)}[/tex]. This formula allows us to rewrite a logarithmic expression so that the new expression contains a different base.

Answer:

slope: 1/3

Explanation:

[tex]\sf \boxed{\sf slope: \sf \frac{y_2-y_1}{x_2-x_1} }[/tex]    where (x1, y1), (x2, y2)

Solve for slope:

insert values

[tex]\rightarrow \sf \dfrac{2-0}{3-(-3)}[/tex]

remove brackets

[tex]\rightarrow \sf \dfrac{2}{3+3}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{2}{6}[/tex]

final answer

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer:

the slope of the line passing through (-3,0) (3,2) is 1/3

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run. m=change in y/change in x. The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=y2-y1/x2-x1. Substitute in the values of x and y into the equation to find the slope. m=2−(0)3−(−3)m=2-(0)3-(-3) Simplify. m=13

Answer:

x = -9

Step-by-step explanation:

find x for -3 + x = 2 (x+3)

-3 + x = 2 (x + 3) <== distribute

-3 + x = 2x + 6 <== subtract 1x from both sides

   -x     -x

-3 = x + 6 <== subtract 6 from both sides

-6       -6

-9 = x or x = -9

Hope this helps!

Given Equation :

[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]

Solution :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]

Using Distributive property for the right side we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2x+ 6 }}} \\ \\[/tex]

Now, subtracting 2x from both sides we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x - 2x =2x - 2x + 6 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3- x = 6 }}} \\ \\[/tex]

Now, Adding 3 to both sides we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3 + 3- x = 6 + 3 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad- \: x = 9 }}} \\ \\[/tex]

Now, Multiplying both sides by (-1) we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (- 1)(- x) = ( - 1)9 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = - 6 }}} \\ \\[/tex]

Therefore,

Answer: 0

Step-by-step explanation:

0 generally is our starting number since it's our y intercept on the graph, so it's most likely a point where you can start graphing.

Answer:

Perimeter of a rectangle = 2W + 2L (where W is the width and L is the length)

Given:

⇒ perimeter = 2(-3x + 1) + 2(2x - 5)

                     = -6x + 2 + 4x - 10

                     = -2x - 8

Answer:

range = 11

Step-by-step explanation:

the range is the difference between the largest and smallest value in the data set.

largest value = 18 , smallest value = 7 , then

range = 18 - 7 = 11

11 is the range of the data 8,9,7,11,18,13

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given data is 8,9,7,11,18,13​

Eight comma nine comma seven comma eleven comma eighteen comma thirteen.

The range in statistics for a given data set is the difference between the highest and lowest values.

Largest value is 18

Lowest value is 7

Range=Largest value-Lowest value

=18-7

=11

Hence, 11 is the range of the data 8,9,7,11,18,13

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The table of attendees in the family reunion is a linear regression

To do this, we represent the years on the x-axis and the attendees on the y-axis

See attachment for the scatter plot

The scatter plot passes through the points

(0, 112) and (5, 136.5)

Start by calculating the slope, m using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (136.5 - 112)/(5 - 0)

m = 4.9

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 4.9 * (x - 0) + 112

y = 4.9x + 112

Hence, the equation of the line of best fit is y = 4.9x + 112

This means that x = 15.

So, we have:

y = 4.9 * 15 + 112

Evaluate

y = 186

Hence, 186 attendees are expected in the 15th year

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Answer:

The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.

Step-by-step explanation:

Answer:

[tex]\sf x^2+y^2=37[/tex]

Step-by-step explanation:

Equation of a circle:  [tex]\sf(x-h)^2+(y-k)^2=r^2[/tex]

where (h, k) is the center and r is the radius

Given the center is at (0, 0)

[tex]\sf \implies (x-0)^2+(y-0)^2=r^2[/tex]

[tex]\sf \implies x^2+y^2=r^2[/tex]

Given the circle passes through point (1, -6):

[tex]\sf \implies (1)^2+(-6)^2=r^2[/tex]

[tex]\sf \implies r^2=37[/tex]

Therefore, the equation of the circle is:

[tex]\sf \implies x^2+y^2=37[/tex]

Equation of a circle passing through origin

So

As (1,-6) lies on circle it will satisfy

Now

equation of the circle

Answer:

see explanation

Step-by-step explanation:

the figure is an isosceles trapezium

The legs are congruent , that is

BC = AD = 15 units

The upper base angles are congruent , so

∠ B = ∠ A = 145°

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

∠ C + ∠ B = 180°

∠ C + 145° = 180° ( subtract 145° from both sides )

∠ C = 35°

The lower base angles are congruent , so

∠ D = ∠ C = 35°

Comparing to the standard equation, the parabola with a vertex at (-2,0) is given by:

y = (x + 2)²

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, we have that h = -2 and k = 0, and all the options have leading coefficient a = 1, hence the equation is:

y = (x + 2)²

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Answer:

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

A = lw

The area of the top rectangle:

A = 5 x 9

A = 45 square inches

The area of the bottom rectangle:

A = 6 x 3

A = 18 square inches

To find the total area, add the two areas together.

45 + 18 = 63 square inches

Answer:

x = 22.6 degrees

Step-by-step explanation:

The triangle is a right triangle which means that you can use trigonometry to find the values for each angle.

cos(x) = opposite / hypotenouse.

So cos(x) = 12/13.

You can then solve using a calculator and find that the angle is 22.6 degrees.

Answer: V≈314.16

Step-by-step explanation:

V=πr2h

3=π·52·12

3≈314.15927

Answer: g < 5

5 is the amount of gigabytes

Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.

The inequality representing the number of gigabytes Oliver can use while staying within his budget of $60 per month is:

3g + 45 ≤ 60.

where,

"g" represents the number of gigabytes used.

$3 is the cost per gigabyte.

$45 is the flat monthly cost.

$60 is the maximum budget.

Oliver pays a flat cost of $45 per month, which is represented by the constant term 45 in the inequality.

He also pays $3 per gigabyte, so the cost for the gigabytes used is 3g, where "g" represents the number of gigabytes.

The total cost (3g + 45) must be less than or equal to $60, as he wants to keep his bill under $60 per month.

Hence, the inequality is 3g + 45 ≤ 60.

Now, solve for g:

45 + 3g ≤ 60

Subtract 45 from both sides:

3g ≤ 15

Divide both sides by 3:

g ≤ 5

So, Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.

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The number of marbles in the bag illustrates probability

The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble

The probabilities are given as:

P(Red) = 1

P(Green) = 1

For a distribution, the sum of all probabilities must equal to 1.

This means that:

P(Red) + P(Green) = 1

So, we have:

1 + 1 = 1

This gives

2 = 1

The above equation is false because 2 does not equal to 1.

So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag

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Answer:

x<-11.25

Step-by-step explanation:

you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.

Answer:

x < -45/4 or it can be written as ( -infinity, -45/4 )

Step-by-step explanation:

12x - 3 < -138

12x < -135

x < -45/4

or x < -11.25

Answer:

Cubic centimetres

Step-by-step explanation:

Cubic centimetres is perfect

As

Here is how it is graphed:

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

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⠀

1. Here,

⠀

[tex] \sf \longrightarrow x + 45^\circ = 180^\circ [/tex] ( Linear pair of angles measure upto 180° )

⠀

Thus,

⠀

[tex] \sf \longrightarrow x + 45^\circ = 180^\circ \\ \\ \\ \sf \longrightarrow x = 180^\circ - 45^\circ \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \blue{ x = 135^\circ }}}} \: \star \: \: \: \: \: \: \: \\ \\ [/tex]

⠀

Now, for y,

⠀

[tex] \sf \longrightarrow \underline{ \boxed{ \sf{ \orange{y = 45^\circ}}}} \: \star [/tex] ( Vertically Opposite Angles)

⠀

[tex] \underline{\rule{230pt}{2pt}} [/tex]

⠀

Answer:

4:1

Step-by-step explanation:

Answer:
I believe it is Option C.

Step-by-step explanation:

There has only been one single tie since the passing of the 12th Amendment. It is a very low chance for a possible tie to take place, so they would have no reason to ensure it doesn't happen as it's already unlikely, ruling out option D. Giving two people the same rank would definitely make a difference as you are basically adding not 1, but two votes. Though it would even the count out, each person would gain 1 point, so it would make a difference. Option B is ruled out. This also potentially explains debunking A as there's no possible way to plan a tie to that extent. Again. ties happen very rarely, so it would be unlikely that voting for both candidates would impact the choice at all.

Answer:

Round 55.99 to the nearest tenth is: 56.0

Answer:

7 The answer is no. 3 because it is more than the others