Last year you mowed grass and shoveled snow for 12 houses. You earned $225 for each lawn you mowed
and $200 for each house you shoveled for a total of $2600. How many lawns did you mow? How many
driveways did you shovel?

Answer:

c. Yes, she is correct because 0.45 and 0.333 are rational numbers. The sum of two rational numbers is a rational number.

By using the concepts of recurrence formula and sum, the sum of the first 26 terms of the sequence is equal to 299.

In this problem we have a recurrence formula of the following form: a₁ = C and aₙ = aₙ₋₁ + k. Then, the sum of first n terms of the sequence is:

s = a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ

First, determine the first 26 terms of the series:

a₁ = 49

a₂ = 46

a₃ = 43

a₄ = 40

a₅ = 37

a₆ = 34

a₇ = 31

a₈ = 28

a₉ = 25

a₁₀ = 22

a₁₁ = 19

a₁₂ = 16

a₁₃ = 13

a₁₄ = 10

a₁₅ = 7

a₁₆ = 4

a₁₇ = 1

a₁₈ = - 2

a₁₉ = - 5

a₂₀ = - 8

a₂₁ = - 11

a₂₂ = - 14

a₂₃ = - 17

a₂₄ = - 20

a₂₅ = - 23

a₂₆ = - 26

Second, sum all the terms found in the previous step:

s = 49 + 46 + 43 + 40 + 37 + 34 + 31 + 28 + 25 + 22 + 19 + 16 + 13 + 10 + 7 + 4 + 1 - 2 - 5 - 8 - 11 - 14 - 17 - 20 - 23 - 26

s = 299

The sum of the first 26 terms of the sequence is equal to 299.

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The solution of the given expression will be ( 2.4 x 10⁸ ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 2 x 10⁸ = 20 × 10⁷. The sum of the two exponential numbers will be calculated as:-

Sum = 2 x 10⁸  + ( 4 x  10⁷ )

Sum = 20 x  10⁷ + ( 4 x  10⁷ )

Sum = ( 20 + 4 ) x  10⁷

Sum  = 24 x  10⁷

Sum = 2.4 x 10⁸

Therefore, the solution of the given expression will be ( 24 x 10⁷ ).

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[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\hspace{10em} \stackrel{slope}{m} ~=~ - 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 7}(x-\stackrel{x_1}{(-1)}) \implies y +5= -7 (x +1) \\\\\\ y+5=-7x-7\implies {\Large \begin{array}{llll} y=-7x-12 \end{array}}[/tex]

Answer:

1024

Step-by-step explanation:

4^5

= 4*4*4*4*4

= 16*4*4*4

= 64*4*4

= 256*4

= 1024

Answer:

-4

Step-by-step explanation:

The line goes down as it moves to the right so it has to be negative.

It goes over 1 and down 4.

To find the slope we use -4/1

We do this because it went down 4 so the 4 is negative, and we use 1 because it went over 1.

So -4/1 = -4

The money in the account at the end of 5 years is 2208.16

The formula for calculating the compound interest is expressed according to the formula:

Compound interest = P(1+r)^t

Given the following parameters

Principal = 2000

rate = 2 % = 0.02

time = 5 years

Substitute

A = 2000(1+0.02)^5

A = 2000(1.02)^5

A = 2208.16

Hence the amount of money that will be in that account at the end of 5 years is 2208.16

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The total weight of the brass returned is 4.04 lb

In this question, we have to find the total conversion of brass return with 450 so multiply the conversion rate by the live rounds return back then we will get our exact answer as follows

A unit received rounds of .9mm = 1000

They return the number of live round units = 450

They return the number of live round units with a brass conversion = .009

so,

  The total weight of the brass returned = 450 × .009

   The total weight of the brass returned with a brass conversion = 4.05 lb

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Answer:

2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

given

[tex]\sqrt{5}[/tex] × [tex]\sqrt{8}[/tex]

= [tex]\sqrt{5(8)}[/tex]

= [tex]\sqrt{40}[/tex]

= [tex]\sqrt{4(10)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex]

= 2[tex]\sqrt{10}[/tex]

The multiplication of 92 by 43 using standard algorithm is 3956.

A standard algorithm or method in elementary mathematics is a certain computation technique that is typically taught for resolving particular mathematical issues.

To be more organized and effective, a typical algorithm uses the same steps each time we multiply, add, subtract, or divide.

Math problems are typically solved by aligning the places, starting with the ones on the right, moving on to the tens place, adding in any carryover numbers or regrouping if subtracting and so on.

Therefore, the multiplication is:

= 92 × 43

= 3956

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Answer:  38.46

Step-by-step explanation:

             ↓

   38.456 It means round by 0.05, so when you round you look at the place value after the specified digit.

Answer: 1 and 1/5 (or 1.2), on a number line would be between One and Two but closer to One.

The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K). The equation with the subject Celsius (C) is C=K-273.15, Option A correct.

Given that,

The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K).

The formula K = C + 273.15 can be used to simulate this.

We have to find the equation with the subject C.

K=C+273.15

Taking the C to left hand side and K to right hand side.

-C=273.15-K

Multiplying -1 on both sides

-1(-C)=-1(273.15-K)

C=K-273.15

Therefore, The equation with the subject Celsius (C) is C=K-273.15, Option A correct.

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Answer:

60

Step-by-step explanation:

10 + 10 + 10 + 10 + 10 + 10 = 60

Answer:

60

Step-by-step explanation:

Everytime you are multiplying by 10, you add a 0 to the number that you are multiplying by. In this case, the 6 turns into 60. This is a trick for the multiples of 10. Hope this helps!

Answer: 960

Step-by-step explanation:

Let the number of pennies Keiko's bank hold be x

Now, According to the question,

[tex]\frac{1}{6} \times x+320=\frac{1}{2} \times x[/tex]

⇒ [tex]\frac{1}{6} \times x+320=\frac{x}{2}[/tex]

⇒ [tex]\frac{(x+1960)}{6}=\frac{x}{2}[/tex]

⇒ 2(x + 1920) = 6x

⇒ 2x + 3840 = 6x

⇒ 6x - 2x = 3840

⇒ 4x = 3840

⇒ [tex]x = \frac{3840}{4}[/tex]

⇒ x = 960

Hence, the total number of pennies Keiko's bank hold = 960.

Answer:

That's the answer

please mark brainiest

Answer:

y=-1

y=43

x=14

Step-by-step explanation:

So, you have the equation: [tex]y=-4x+15[/tex], and if we know one value we can easily solve for the other using some algebraic manipulation.

Find y when x=4.

For this we know one value, "x", and the other "y" value is unknown. This is actually not to hard if you notice that the equation we're given expresses the value of "y" in terms of "x".

So let's plug in the x-value: [tex]y=-4(4)+15\implies y=-16+15=-1[/tex]

So we get: y=-1, which turns out to be the solution!

Find y when x=-7

This is a similar process, so let's just get straight into it and plug x as -7

[tex]y=-4(-7)+15\\y=28+15\\y=43[/tex]

This is our solution, y=43

Find x when y = -41

So this case is a bit different since we're given the y-value and not the x-value, and as I mentioned the equation represents the value of y in terms of x.

We still do a similar process, except we'll use some more algebraic manipulation, but let's start by plugging in the known value:

[tex]-41=-4x+15[/tex]

Let's move the constant, 15, to the other side by subtracting by 15 to cancel both sides.

[tex]-56 = -4x[/tex]

Now we want to get the x alone, and the only "operation" being done on the x, is that it's being multiplied by the coefficient of -4. To cancel this out we want to divide both sides by -4 to maintain equality & cancel out the coefficient of -4 to one, which is just 1 * x which can be expressed as x as it's implied the coefficient is 1

[tex]14=x[/tex]

Now we have our solution!

The number of atoms of each element in CO2 are; Number of O atoms = 2 and Number of C atoms = 1

The number of atoms present in the molecule of an element is known as its Atomicity. For Example: In the H2O molecule, its atomicity is 3 as it has 2 molecules of hydrogen and 1 molecule of oxygen

Similarly, for the antiperspirant  Al₂Cl(OH)₅. the number of atoms in each element can be found as follows;

Number of Al atoms = 2

Number of Cl atoms = 1

Number of H atoms = 1 x 5 = 5

Number of O atoms = 1 x 5 = 5

Applying the above to our question gives;

Number of C atoms = 1 atom

Number of O atoms = 2 Atoms

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Answer:

Yep your good

Step-by-step explanation:

Your smart

Answer:

The total percentage loss would be 67%.

Step-by-step explanation:

Since we have given that

Rate of decline each year = 20%

Number of years = 5

We need to find the total percentage loss in value of the house at the end of 5 years.

So, Total percentage loss would be

The scale of the map given the area of the desert and the area of the scale drawing is 1 square inch represents 2,500 square miles.

A scale drawing is either a larger or smaller image of another image or object. A scale drawing is enlarged or reduced using a scale. A map is a smaller scale drawing of an area. The scale is used to keep the proportion of the dimensions between the scale drawing and the original place similar.

In order to determine the scale of the drawing, divide the original square area by the square area of the scale drawing.

Scale of the drawing = original dimensions / dimensions of the scale drawing

25,000 square miles / 10 square inches = 2,500 square miles

The scale is 1 square inch represents 2,500 square miles. or 1 : 2,500.

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The triangle ABC has an area of 50 square cm

From the question, the given parameters are:

The given parameters above mean that:

The triangles ABC and PQR are similar triangles

So, the area of the triangle ABC is then calculated as

Area of △PQR = Area of △ABC x (AC/PR)²

Substitute the known values in the above equation

So, we have the following equation

Area of △PQR = 8 x (2.5)²

Evaluate the product

Area of △PQR = 50

Hence, the area of the triangle ABC is 50 square cm

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The measure of the angle TRS = 46°

The angles given in figure are :

angle QSR = 110°

angle STR = 64°

angle QRS = 2x-10°

We will find the angle TRS using these given angles and some angle properties in a triangle.

We have the fact that sum of three angles of a triangle = 180°

So angle TRS + angle RST + angle STR = 180°

angle QSR and angle RST are supplementary. i.e., their sum = 180°

So angle RST = 180° - 110° = 70°

So angle TRS = 180°- (70°+64°) = 46°

Using angle TRS we can also find angle QRS and thereby, the value of x.

From the figure, angle QRT = 90°.

So angle QRS = 90°-angle TRS

⇒ 2x - 10° = 90° - 46°

⇒ 2x = 44° + 10°

⇒ x = 54°/2

⇒ x = 27°

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Answer:

half of a foot

Step-by-step explanation:

Using the addition, if you buy 3.16 pounds or oranges, 1.15 pounds of peaches and 2.24 pounds of apples , then the total bill is 6.55 pounds

The cost of the oranges = 3.16 pounds

The cost of the peaches = 1.15 pounds

The cost of the apples = 2.24 pounds

Then the total bill = The cost of the oranges + The cost of the peaches + The cost of the apples

Here we have to use the addition

Substitute the values in the equation

Then the total bill = 3.16 + 1.15 + 2.24

= 6.55 pounds

Hence, using the addition, if you buy 3.16 pounds or oranges, 1.15 pounds of peaches and 2.24 pounds of apples , then the total bill is 6.55 pounds

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Answer:

97 miles

Step-by-step explanation:

pls mark brainlest

Answer:

97 miles

Step-by-step explanation:

65 mph * 1.5 hours = 97 miles

The mean of the number of hours spent watching television is 15.75

The mean absolute deviation of the number of hours spent watching television is 6.625.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(10 +  11 + 22 + 7 + 17 + 17 + 20 + 31 + 0 + 12 + 19 + 23) / 12 = 189/12 = 15.75

Mean absolute deviation is the average of the sum of the absolute difference between the numbers and the mean.

MAD =  1/n ∑ l x - m(x) l

(|10 - 15.75) + |11 - 15.75| + |22 - 15.75| + |7 - 15.75| + |17 - 15.75|+ |17 - 15.75| + |20 - 15.75| + |31 - 15.75| + |0 - 15.75| + |12 - 15.75| + |19 - 15.75| + |23 - 15.75|

= (5.75 + 6.75 + 6.25 + 8.75 + 1.25 + 1.25 + 4.25 + 15.25 + 15.75 + 3.75 + 3.25 + 7.25) / 12 = 6.625

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The single transformation from shape A to shape B is;

(1, 6);  (x, y) → (y + 1, x + 5)

(5, 6); (x, y) → (y + 1, x - 3)

(3, 8); (x, y) → (y + 1, x + 1)

We know that in transformation, it could either be a reflection, a dilation, a translation e.t.c.

Now, let us look at the shapes A and B to find their coordinates.

Coordinates of Shape A are; (1, 6), (5, 6), (3, 8)

Coordinates of Shape B are; (7, 6), (7, 2), (9, 4)

Since the transformed shape B is to the right of the original shape A, then we can suggest that the first transformation is a reflection about the line x = 6. Thus, this is; (x, y) → (y, x)

The transformation of shape A following (x, y) → (y, x) is;

A'(6, 1), B'(6, 5), C'(8, 3)

Comparing that to the coordinates of shape B, we can say that the transformations are;

(1, 6);  (x, y) → (y + 1, x + 5)

(5, 6); (x, y) → (y + 1, x - 3)

(3, 8); (x, y) → (y + 1, x + 1)

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A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.. If U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7), Then

AU(BUC)= {1,2,3,4,5,6,7,8}.

A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas  the circles that do not overlap do not.

Venn diagrams are useful for showing how the two concepts are related and different visually. They have long been acknowledged for their value as teaching resources. Venn diagrams have been incorporated into elementary-level lesson plans and the introduction to logic curricula worldwide since the middle of the 20th century.

Venn diagrams are helpful for displaying the relationships between several ideas or factors. They can quickly demonstrate how things are alike or dissimilar as well as where and how they overlap. A Venn diagram's center, which is where two or more circles intersect, frequently indicates some nexus or central concept that may be broken down into the various other circles, with the labels on the outer portions representing more abstract and separate concepts than those near the center.

Since, BUC= {1,2,3,5,7,8}

So, AU(BUC) = {1,2,3,4,5,6,7,8}

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Answer:

Domain { 0,2,3,4}

Range { -2,1,2,5}

Step-by-step explanation:

The domain is the values that x can take

Domain { 0,2,3,4}

The range is the values that y can take

Range { -2,1,2,5}