The some of three consecutive integers is 33 more than the least of the integers. Find the integers

Answer:

Miranda has to put $13,661 in the bank.

Step-by-step explanation:

Miranda wants to give her 14-years old daughter $20,000 when she turns 18

Miranda has 4 years to make $20,000

Rate of interest = 10% per year

Let initial deposit be $x

Final amount (A) = $20,000

Time (t) = 4 years

Rate (r) = 0.10

Formula:

[tex]A=P(1+r)^n[/tex]

Substitute the values into formula

[tex]20000\geq x(1+0.1)^4[/tex]

Now we solve for x

[tex]x\geq \dfrac{20000}{1.1^4}=13660.27\approx 13661[/tex]

Hence, Miranda has to put $13,661 in the bank.

The slope is the change in Y over the change in X

Using the 2 points shown on the line (-4,3) and (3,1)

The change in Y is 1-3 = -2

The change in X is 3 - (-4) = 3+4 = 7

The slope = -2/7

The answer is B.

-5(-1.2) = 6

Hope this helps you

-AaronWiseIsBae

Answer:

If you buy the paint set and the 6 canvases its B if you just buy the cancases itd D

Step-by-step explanation:

Answer:

Total Amount Spent = $162.00

Step-by-step explanation:

Given

Items: Watercolor paints and Canvases

Cost of watercolor paint = $15

Cost of each canvases= $24.50

Quantity of Watercolor paint = 1

Quantity of each canvases = 6

Required

Total Amount Spent

To get the total amount spent, we first calculate the amount spent on each item.

Amount Spent on Watercolor

Cost of watercolor paint = $15

Quantity of Watercolor paint = 1

Amount = Cost * Quantity

Amount = $15 * 1

Amount = $15

Amount Spent on canvases

Cost of each canvases = $24.50

Quantity of canvases = 6

Amount = Cost * Quantity

Amount = $24.50 * 6

Amount = $147.00

Total Amount Spent = Amount Spent on Water Color + Amount Spent on Canvases

Total Amount Spent = $15 + $147.00

Total Amount Spent = $162.00

The vendor sold 77 hot dogs and 154 sodas at the hockey game. This was determined by setting up a system of equations from the given relationships and solving for each item.

At a hockey game, a vendor sold a combined total of 231 sodas and hot dogs, with the number of sodas being two times the number of hot dogs sold. To find the actual numbers, let's use the variables S for sodas and H for hot dogs. We can set up the following system of equations based on the given information:

By substituting the second equation into the first, we get:

This implies that the vendor sold 77 hot dogs. To find the number of sodas, we use the second equation:

Therefore, the vendor sold 154 sodas. We've solved the problem by using simple algebraic steps and applying the system of equations.

our lines of symmetry is made limited by the presence of the pentagon. If we slice the pentagon into two, the only line of symmetry we could create would be the line intersecting O and the median of LM. Other lines would not create a symmetrical half.

Therefore the line of reflection is only 1.

questioned answered by

(jacemorris04)

I'm assuming you don't want the numbers to be rounded until after they're added soooo:

40.88 + 16.6 = 57.48

After rounding to the nearest tenth : 57.5

Answer:

The answer is 108.

Step-by-step explanation:

In order for the mode to be 108, there has to be more 108 values than any other value.

Answer:

160

Step-by-step explanation: Once you multiply 14 ft x 15 ft you get 210 ft. But  already done 50 you subtract it and get 160.

The only answer I could think of is Ice-sosceles traingles?

The answer to the above Math Riddle is "Ice-Scoceles" Triangle. The proper spelling is Isosceles Triangle. The riddle is just a learning tool to aid recollection.

Isosceles triangles are triangles with two sides of equal length and two equal angles.

They are used in real life for various purposes. In construction and architecture, isosceles triangles are utilized to create stability and balance in structures such as roofs and bridges.

In geometry and trigonometry, isosceles triangles are frequently studied for their properties and relationships with other shapes.

Aso, isosceles triangles are encountered in various fields like art, design, and even everyday objects, where their symmetrical properties are aesthetically pleasing.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

What kinds of triangles are the coldest ending ?

a. 21, b. 26, c. 18, d. 28

Answer:  The required answers are :

(a) 21,   (b) 26,   (c) 18   and   (d) 37.

Step-by-step explanation:  We are given to solve the following problems with parentheses solved first.

(a). The given problem is

[tex]4+(5+12).[/tex]

We have

[tex]4+(5+12)=4+17=21.[/tex]

(b) The given problem is

[tex](3+6)+17.[/tex]

We have

[tex](3+6)+17=9+17=26.[/tex]

(c) The given problem is

[tex]4+(5+12).[/tex]

We have

[tex](3+4)+(5+6)=7+11=18.[/tex]

(d) The given problem is

[tex]9+(11+7)+10.[/tex]

We have

[tex]9+(11+7)+10=9+18+10=9+28=37.[/tex]  

Thus, the required answers are :

(a) 21,   (b) 26,   (c) 18   and   (d) 37.

The coordinates of the fourth vertex of the rectangular blanket, given the vertices (-2.6, -3.4), (-2.6, 1.3), and (1.6, 1.3), are (1.6, -3.4).

From the given coordinates of the three vertices of the rectangle, we can find that the width of the rectangle is calculated from the difference in the x-coordinates of (-2.6, 1.3) and (1.6, 1.3), which is 4.2 units (1.6 - (-2.6)). Similarly, the length of the rectangle is calculated from the difference in the y-coordinates of (-2.6, -3.4) and (-2.6, 1.3), which is 4.7 units (1.3 - (-3.4)).

To find the fourth vertex, we take the x-coordinate of the bottom left vertex (-2.6, -3.4) and add the width (4.2) to get 1.6. We then take the y-coordinate of the bottom left vertex (-2.6, -3.4) and keep it the same for the fourth vertex. So the coordinates of the fourth vertex are (1.6, -3.4).

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6.B Im not sure about this one

7. D

Answer:

3) C)

7) D)

Explanation for question 2)

Step 1:

4^3 = 64

4^4 = 256

4^9 = 262144

Step 2:

64 * 256 = 16,384

16,384/262,144 = 0.0625

Step 3:

0.0625 as a fraction, 1/16

-----------------------------------------------------

Now, we see there is no option as, 1/16

But, however there is 1/4^2 = 1/16

Because, 4^2 = 16

Therefore, 1/16

Explanation for answer 7)

It's pretty simple, your just looking for an answer that also combines like terms.

Hope this helps :-)

P.S: Sorry I took so long

10% of 113.03 is 11.30300

just subtract that from 113.03

which is 101.727 or round it up to 101.73

Answer:

6 per hour

Step-by-step explanation:you would divide 15 by 2 and 1/2

Part A:

The number of plants Nestor will pot in 1 hour is:

                     6 plants.

Part B:

The number of plants that he will be able to pot in 3 1/2 hour is:

                        21 plants.

Part A:

It is given that:

Nestor takes 2 1/2 hours to pot 15 plants.

i.e.

It takes him 5/2 hours to pot 15 plants.

Hence, In 1 hour he will pot:

[tex]\dfrac{15}{\dfrac{5}{2}}\ \text{plants}\\\\=\dfrac{15\times 2}{5}\ \text{plants}\\\\=6\ \text{plants}[/tex]

Part B:

Also, if he continues to work at the same rate then the number of plants he will pot in 3 1/2 hour is:

( We know that:

[tex]3\dfrac{1}{2}=\dfrac{3\times 2+1}{2}\\\\i.e.\\\\3\dfrac{1}{2}=\dfrac{7}{2}\ \text{hour}[/tex] )

Hence, the number of plants that will be potted in 7/2 hours is:

[tex]=6\times \dfrac{7}{2}\\\\=21\ \text{plants}[/tex]

D. 0.25 is the answer you are looking for

The area of a rectangle with a length of 12x and a width of (x + 3) is 12x² + 36x, which is option D in the provided list of answers.

To find the area of a rectangle, you multiply the length by the width. In this case, the length is given as 12x and the width is (x + 3). Multiplying these two expressions together, you get:

Area = Length × Width

Area = 12x × (x + 3)

Now, distribute the 12x across the terms inside the parentheses:

Area = 12x × x + 12x × 3

Area = 12x² + 36x

Therefore, the area of the rectangle is 12x² + 36x, which corresponds to option D in your list of possible answers.

The correct option is D.

The area of the rectangle is 12x² + 36x.

To find the area of a rectangle, multiply its length by its width. In this case, the length is given as 12x and the width is given as (x + 3).

So, Area = Length × Width = (12x) × (x + 3).

Expanding this expression, we get:

Area = 12x² + 36x.

Therefore, the area of the rectangle is 12x² + 36x.

So, the correct answer is option D) 12x² + 36x.

Here's why:

1. Substitute the given values for length and width into the formula for the area of a rectangle.

2. Multiply the length by the width, distributing the 12x over the (x + 3).

3. Combine like terms to simplify the expression.

4. The final expression for the area is 12x² + 36x.

Is there more to this question? The only math question I can think of that would go with this is for us to tell what a half dozen is equal to. If that is the case, the answer is 6.

Answer:

The answer is mean or  median both are 4

Step-by-step explanation:the answer is the  D

The measure of central tendency that is most appropriate for this situation is (d) either the mean or median; both are 4

The dataset is given as:

6,2, 5,3, 4

Calculate the mean using:

Mean = Sum/Count

So, we have:

Mean = (6 + 2 +5 + 3 + 4)/5

Evaluate

Mean = 4

Sort the data elements

2, 3, 4, 5, 6

The middle element is 4.

So, we have:

Median = 4

Hence, the measure of central tendency is most appropriate for this situation is (d) either the mean or median; both are 4

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Answer:

The images of PQR are P'=(8 , -6) , Q' = (8,6) and R' = (14 , -6)

Step-by-step explanation:

From the given graph:

the coordinates of PQR i.e,    

P= (4, -3) , Q= (4,3) , R= (7,-3)

Given: the scale factor of 2 and center of dilation at origin i.e (0,0)

The mapping rule for the  dilation applied to the triangle as shown below:

[tex](x, y) \rightarrow ( kx, ky)[/tex] where k represents the scale factor i.e, k=2 or we can write it as ;

[tex](x, y) \rightarrow (2x, 2y)[/tex]

For P = (4, -3)

The image P' = [tex](2\cdot 4 , 2\cdot (-3))[/tex]

⇒ P'= [tex](8, -6)[/tex]

Similarly for Q = (4, 3) and R = (7 , -3)

the image of Q' = [tex](2\cdot 4 , 2\cdot (3)) = (8 , 6)[/tex]

The image of R' = [tex](2\cdot 7 , 2\cdot (-3)) = (14 , -6)[/tex]

Now, plot the graph of PQR as shown in the attachment:

The images of the vertices of PQR are P' (8, -6), Q' (8, 6), and R' (14, -6).

A graph that shows triangle PQR and the image triangle P'Q'R is shown in the picture below.

In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image (triangle PQR) by applying a scale factor of 2 that is centered at the origin (0, 0) in order to produce the coordinates of its image as follows:

Vertices P (4, -3) → (4 × 2, -3 × 2) = P' (8, -6).

Vertices Q (4, 3) → (4 × 2, 3 × 2) = Q' (8, 6).

Vertices R (7, -3) → (7 × 2, -3 × 2) = R' (14, -6).

In concluson, we can logically deduce that the dilation is an enlargement because the size of the pre-image is smaller than the image.

Matt could do one of the following arrangements;

2 rows of 8 CDs

4 rows of 4 CDs

       8 x 2 = 16

      4 x 4 = 16

Hence,

Therefore, the number of ways can he arrange the CDs so they are in equal rows is 2 ways

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.98 is the greatest because it is closest to 1 out of the decimals

Let ABC be the triangle where A is at (0, a), B is at (0, 0) and C is at (a, 0).

Note that BA = BC = a, as ABC is isosceles.

Also, ∠B = 90°

After a dilation with a scale factor of 1.8 with the origin as the center of dilation, length BA will be increased to 1.8 times and will become B'A'.

So, point A will be moved to (0, 1.8a).

Similarly, point C will be moved to (1.8a, 0).

Now, slope of A'C' = [tex]\frac{0-1.8a}{1.8a-0}[/tex]

= - 1.

Hence, the dilation preserves the slope of the hypotenuse.

Answer:

-1

Step-by-step explanation:

If we divide 55 (the total amount of money he made) by 5 (price to walk one small dog), we get 11. Meaning that the maximum amount of small dogs he could possibly walk and receive that amount of money is 11. However, he only walked 8 dogs. Therefore Ryan would have needed to walk a specific amount of large dogs in order to earn 55 dollars in total.

After doing some process of elimination, I reached this conclusion:

3 small dogs = $15

5 large dogs = $40

The combination of the two would equal $55.

Therefore, the answer would be 3 small dogs.

It's Answer A/The top answer. Vertical lines are x-values and horizontal lines are y-values, and since everything is shaded to the left of the purple line, it'd be x is less than or equal to 5

Answer:

[tex]x\leq5[/tex]

Step-by-step explanation:

In the graph we have vertical line at x=5

The vertical line is a solid line so we use <=  or >= symbol

For vertical line , the slope is undefined

so the equation becomes x= 5

For inequality we look at the shading region

the left side of the vertical line is shaded , so we use <= symbol

The final inequality is

[tex]x\leq5[/tex]

THE ANSWER IS Angle of rotation is changed if an image is moved about a central point.

(U/(3k+6w-6v)=x is the answer

Answer:

D. The total amount of sales

Step-by-step explanation:

We have been given that a jewelry sales person earns a base salary of $200 a week plus 25% of all of her sales over $300.

This situation has been represented using the expression 200 + .25( x - 300)

Here 200 is the base salary. 0.25 corresponds to 25%. The factor (x-300) corresponds to the amount of sales over 300 dollars. This implies that x represents the total sales.

Therefore, x represents the total amount of sales. Hence, option (D) is the correct answer.