Using a center of dilation at the origin, Point A with coordinates (-3, 7) is dilated with a scale factor r = 2/3. What are the coordinates of Point A’?
A) (-2, 14/3)
B) (2, -7/3)
C) (-2, 7/3)
D) (3, 14)

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = [tex]\frac{1}{3}[/tex] yard

∴ 1 foot² = [tex](\frac{1}{3})^{2}=\frac{1}{9}[/tex] yard²

∴ 15 feet² = 15 × [tex](\frac{1}{9})[/tex] = [tex]\frac{5}{3}[/tex] yards²

∴ The area of the blanket is  [tex]\frac{5}{3}[/tex] yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost =  [tex]\frac{5}{3}[/tex] × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

Answer:

answer is b

Step-by-step explanation:

look at picture shown

The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.

Conversion means to convert the same thing into different units.

In a test, a hybrid car drove 619 yards on 1 fluid ounce of gasoline.

We know that 1 yard = 1/1760 miles. Then we have

619 yards = 619 x 1 / 1760 miles

We know that 1 fluid ounce = 1 / 128 gallons

The rate in miles per gallon will be

R = (619 / 1760) / (1 / 128)

R = 619 x 128 / 1760

R = 45 miles per gallon

The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.

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Answer:

He drank 5 water bottles.

Step-by-step explanation:

We need to find one-ninth (1/9) of the total number of water bottles (45).

Multiply the two numbers together:

[tex]\frac{1}{9}*45[/tex]

[tex]=\frac{45*1}{9}[/tex]       Combine into numerator (top) to multiply

[tex]=\frac{45}{9}[/tex]         Simplify the fraction by dividing top by bottom

[tex]=5[/tex]        Answer

Therefore, Edward drank 5 water bottles.

Step-by-step explanation:

hope the answer will helpful

Pretty sure it's 8 3/4  ÷ 3 2/3.

Why?

So say you want to find the length of a rectangle who's area is 6, and the width is 2. You can divide the area by the width to find the length. 6/2 = 3.

Check: 2 * 3 = 6.

Back to the original question: 8 3/4 ÷ 3 2/3.

Improper fractions: 35/4 ÷ 11/3.

Switch division to multiplication and reciprocal: 35/4 * 3/11.

35/4 * 3/11 = 105/44.

Check:

105/44 * 11/3 = 1155/132 = 35/4 = 8 3/4

Length = 105/44

Final answer:

To find the length of the rectangle, we use the formula Area = length  imes width, converting the given mixed numbers into improper fractions, and then dividing the area by the width.

Explanation:

To calculate the length of the rectangle given the width and the area, we can use the formula for the area of a rectangle: Area = length  times width. To isolate the length, we divide both sides of the equation by the width. Given that the width of the rectangle is 3 2/3 feet and the area is 8 3/4 square feet, the expression to find the length is:

Length = Area / Width

First, we convert the mixed numbers into improper fractions:

Width: 3 2/3 = 11/3 feet

Area: 8 3/4 = 35/4 square feet

Then, the calculation for the length is:

Length = (35/4) / (11/3) feet

Answer:

14

Step-by-step explanation:

Replace n with 1/2

5(1/2 + 3) -7(1/2)

17.5 - 3.5

=14

So, n=14

Answer:

14

Step-by-step explanation:

5(n + 3) -7n

putting value of n

5(1/2 + 3) - 7/2

5(0.5 + 3) - 3.5

5(3.5) - 3.5

17.5 - 3.5

14

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, [tex]18 inches = 1.5 ft[/tex]

Thus, the length of the rug is [tex]l=1.5+w[/tex]

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

[tex]A=length\times width[/tex]

[tex]10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0[/tex]

Solving the expression using the quadratic formula,

[tex]$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$[/tex]

Substituting the values, we have,

[tex]$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\[/tex]

[tex]$w=\frac{-15 \pm \sqrt{4225}}{20}$[/tex]

[tex]$w=\frac{-15 \pm 65}{2 0}$[/tex]

Thus,

[tex]w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5[/tex]  and   [tex]w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4[/tex]

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting [tex]w=2.5[/tex] in [tex]l=1.5+w[/tex], we get,

[tex]l=1.5+2.5\\l=4[/tex]

Thus, the length of the rug is 4 ft.

It's A

length 4 and width 2.5

Answer:

24/1

Step-by-step explanation:

Answer: all questions are statistical questions except the one that asked about..... What is your favorite ice cream color

Step-by-step explanation:

The equation to find David’s hourly wage is:

David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage

Step-by-step explanation:

The given is:

Amelia’s hourly wage is $3.50 less than double David’s hourly wage

We need to find an equation to find David’s hourly wage

Assume that:

∵ Amelia’s hourly wage is $3.50 less than double David’s

   hourly wage

- That means multiply David’s hourly wage by 2, then

    subtract 3.50 from the product to get Amelia’s hourly wage

∴ x = 2y - 3.50

Now let us find y in terms of x

∵ x = 2y - 3.50

- Add 3.5 to both sides

∴ x + 3.50 = 2y

- Divide each term by 2

∴ [tex]\frac{1}{2}[/tex] x + 1.75 = y

- Switch the two sides

∴ y =  [tex]\frac{1}{2}[/tex] x + 1.75

∵ y represents David’s hourly wage

∴ David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents

   Amelia’s hourly wage

The equation to find David’s hourly wage is:

David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage

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Answer:

P = 2.7g/cm

Step-by-step explanation:

Perimeter (P) = 4×number of sides (S)

P = 4S

Where S = 2/3gcm

Therefore, P = 4 × 2/3

P = 8/3gcm or 2.66667~ 2.7g/cm

Answer: you still need help? let me know okay UwU

Step-by-step explanation:

When solving graphically ,which system of equations will have exactly one point of intersection.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Let consider an example.

Consider the slope-intercept form of equations: y = -6x+8  and y=-3x-4

Since the slopes are different, the lines must intersect.

Because the lines intersect at a point, there is one solution to the system of equations the lines represent.

Hence, when solving graphically, the linear system of equations will have exactly one point of intersection.

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Answer:

f(x) = 2+5

g(x) = 2(-(x−3))+5

Step-by-step explanation:

If you remember, an absolute value can have two different answer, a positive and negative answer because the absolute value symbol makes all values in it positive. Example: |-2|=2 and |2|=2

So if  y = 2|x−3|+5

then the two possibilities are

y = 2(x−3)+5    and

y = 2(-)+5

Set one of them equal to f(x) and the other one to g(x)

f(x) = 2(x−3)+5

g(x) = 2(-(x−3))+5

You can also write it as a piecewise function.

[tex]y(x)=$\begin{array}{cc} \{ & \begin{array}{cc} -(x-3) & x<3 \\ 0 & x=3 \\ (x-3) &x>3 \end{array}\end{array}$[/tex]

Answer: 18/40 and 27/60

Step-by-step explanation:

Multiply the numerator and denominator by whatever number it needs to be multiplied by

9*2 to get 18

20*2 to get 40

9*3 to get 27

20*3 to get 60

Answer:

First of all  cant give u the anssswer i am srry but i can give u a hint u need to find eqivelent fractions for the denominators then u can add them

Step-by-step explanation:

Answer: The answer is Three whole and five sixths (3 5/6)

Step-by-step explanation: One whole and three fourths can be expressed as 1 3/4, and this is added to five sixths, that is, 5/6. therefore these can be expressed as

[1 3/4 + 5/6}

The other part of the questions says one whole and one fourth which can be expressed as 1 1/4.

The entire question can now be written out as

[1 3/4 + 5/6] + [1 1/4]

We would start by solving for the left hand side of the expression

1 3/4 + 5/6

= 7/4 +5/6

By using a common denominator which is 12 (the LCM), the expression now becomes,

[21 + 10]/12

= 31/12

We can now add this to the right hand side of the expression. Thus,

[31/12] + 1 1/4

=31/12 + 5/4

By using a common denominator which is also 12, the expression now becomes,

[31 + 15]/12

= 46/12, By simplifying further we arrive at,

23/6.

Written as a proper fraction, this becomes

3 5/6 (Three whole and five sixths)

Therefore $754.94 will be in account after 15 years.

Step-by-step explanation:

Given , Sarah opens a saving account that has a 2.75% annual interest rate , compounded monthly. She deposits $500 into the account.

P = $500, r = 2.75% = 0.0275 , t = 15 years and n= 12

[tex]Amount (A) =P(1+\frac{r}{n})^{nt}[/tex]

                 [tex]=\$500(1+\frac{0.0275}{12})^{(12\times15)}[/tex]

                  =$754.94

Therefore $754.94 will be in account after 15 years.

After 15 years with a 2.75% annual interest rate, compounded monthly, an initial deposit of $500 in a savings account will grow to approximately $754.94.

The student has asked how much money will be in a savings account after 15 years with an initial deposit of $500 if the account has a 2.75% annual interest rate, compounded monthly. To calculate the future value of this account, we can use the compound interest formula:

A = P (1 + r/n)^(nt)

Where:

Here, P is $500, r is 0.0275 (2.75% expressed as a decimal), n is 12 (since the interest is compounded monthly), and t is 15 years.

So, the calculation is:

A = $500 * (1 + 0.0275/12)^(12*15)

By computing this, we can determine the future value of the savings account after 15 years:

A ≈ $500 * (1 + 0.00229167)^(180)

A ≈ $500 * (1.00229167)^180

A ≈ $500 * 1.510383954

A ≈ $754.94

Therefore, the amount in the savings account after 15 years will be approximately $754.94.

Answer:

80% of 65 is 52

Step-by-step explanation:

Answer: 52

Step-by-step explanation: 65 x 0.80 = 52

To find a percent times the amount by percent.

Answer:

16

Step-by-step explanation:

If we plug in all the variables, we get 2(3+5)

Evalutation: 2(3+5)=2(8)=16

So the value is 16

Hope this helped!

Answer:

16

Step-by-step explanation:

a =2

b = 3

c =5

a(b +c)

2(3+5)

2x3 + 2x5

6 + 10

16

Answer:

Option C. 11

Step-by-step explanation:

If a point P lies on an ellipse, The sum of distances between the point p and the foci will be equal the major axes.

So, applying the previous rule to the problem

The red line + the blue line = major axis

6 + the blue line = 17

So, the blue line = 17 - 6 = 11

The answer is option C. 11

Answer:

3 3/4

Step-by-step explanation:

Answer:

15/4

in order to simplify you need to find the gcf (greatest common factor) and divide by that number on both numerator and denominator, since two is the gcf, 15/4 is the answer

Answer:

Step-by-step explanation:

B. For roses you could sell 84 bunches of 14 roses. For tulips, you could sell 70 bunches of 18 tulips, and for gerberas, you could sell 75 bunches of 18 gerberas.

C. well 8 dollars times 84 is $672. 11 times 70 equals $770, and 9 times 75 is $675. in total $2,117.

D. i - 1176 well to start we add up all the digits to see if its sum is divisible by 9. 1+1+7+6=15. 15 is not a multiple of 9 so its not divisible.

   ii. 1260 well to see if 1260 is divisible by 8 is by taking the last 3 digits of the number and dividing it by 8. 260 divided by 8 equals 32.5. since 32.5 is a decimal and 8 can't go into 260 evenly 1260 is not divisible by 8.

If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

also did you know the word divisibility has 5 i's in it? lol also the picture is for number 1 or letter a.

Answer:

what he said :>

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subtract  

6 u  from  2 u .

− 4 u + 9 = 19

Move all terms not containing  u  to the right side of the equation.

− 4 u = 10

Divide each term by  − 4  and simplify.

u = −  [tex]\frac{5}{2}[/tex]

The result can be shown in multiple forms.

Exact Form:

u = −  [tex]\frac{5}{2}[/tex]

Decimal Form:

u =− 2.5

Mixed Number Form:

u = −  2 [tex]\frac{1}{2}[/tex]

Answer:

The solution point is (4,2).

Step-by-step explanation:

Equation of straight line passing through the points (0,0) and (4,2) is given by

[tex]\frac{y - 2}{2 - 0} = \frac{x - 4}{4 - 0}[/tex]

⇒ 2y = x ............ (1)

And the other straight line is y = - x + 6 .............. (2)

Now, solving equations (1) and (2) we get, y = - 2y + 6

⇒ 3y = 6

⇒ y = 2

And from equation (1) we get, x = 2y = 4

Therefore, the solution point is (4,2). (Answer)

Answer:

C: (4,2)

Step-by-step explanation:

Answer:

1.) C

2.) C

3.) D

4.) D

5.) C

Step-by-step explanation:

1.) Each coin has two possible outcomes, and they are two coins in total.

2 (outcomes) x 2 (coins) = 4 possible outcomes

*hint: Look at the 1st column of the diagram and count how many branches come from it

*another hint: The branches are equal to the number of H's and T's in the 2 Column (4 branches or 4 possible outcomes)

2.) Each coin has two possible outcomes, and they are three coins in total.

2 (outcomes) x 3 (coins) = 6 possible outcomes

*hint: Look at the number of branches coming from 3 of the H's and T's in the 2nd column. (6 total branches or possible outcomes)

3.) They are 3 different types of phones, and 3 different types of cases.

3 (phones) x 3 (cases) = 9 possible combinations

{4R,4B,4C,5R,5B,5C,6R,6B,6C,}

*hint: Count 3 cases for each phone and add them (9 total)

4.)Each Dice has 6 sides (cube) and there are 2 Dice. But Each side gets paired with another side, so

6 (sides) x 6 (sides) = 36 possible outcomes

A - Shows outcomes for 1 Dice

B - Shows sum for both Dice

C - Shows some possible combinations when they are both the same number

D - Shows some more possible combinations including those when both dice are not the same number

D Appears to be the best answer as it has more details

5.) 2 Types of bottom wear (shorts or jeans),  3 Types of shirts (red, blue, green) and 2 Types of shoes (flip flops or tennis shoes).

2 (bottom) x 3 (top) x 2 (feet) = 12 possible combinations

*hint: For each bottom wear (shorts or jeans) there are 6 possible combinations so multiplying by two will give you the amount for each one.

Answer:

2 is 8 :)

Step-by-step explanation:

The average speed calculated over the given time intervals is

Given formula is y = 54t - 1.86t²

Speed = dy/dt = 54 - 3.72t

a) Average speed over the time intervals given below are:

b) When t = 1, the speed is v = 50 - (3.72*1) = 50.28 m/s

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Answer:

1)m<DCH =89

2)m<BCD=103

Step-by-step explanation:

1) We have that:

m<EFB=91 degree.

We want to find m<DCH.

By same side interior angle property:

m<DCH +m<EFB=180

m<DCH +91=180

m<DCH=180-91

m<DCH =89

2) Given that: m<HFG=103, we seek to find m<BCD.

By the alternate exterior angle property:

m<HFG=m<BCD

Therefore

m<BCD=103