What is the image of (8,−4) after a dilation by a scale factor of 1/4 centered at the origin?

Answer:

76.7

Step-by-step explanation:

11.3(3) + 10.7(4) = __ + 42.8

Multiply values

33.9 + 42.8 = __ + 42.8

The missing value is 33.9!

42.8 + 33.9 = 76.7

Pablo made 26 servings according to the given measurements. So the answer is option B.

To determine the number of servings Pablo made, we need to calculate the total volume of the mixture and divide it by the serving size.

Given:

Fruit juice: 5/2 quarts (10/4 quarts or 2.5 quarts)

Seltzer: 1 gallon (128 fluid ounces)

Serving size: 8 fluid ounces

First, let's convert the fruit juice to fluid ounces:

2.5 quarts * 32 fluid ounces/quart = 80 fluid ounces

Next, let's calculate the total volume of the mixture:

80 fluid ounces (fruit juice) + 128 fluid ounces (seltzer) = 208 fluid ounces

Finally, we divide the total volume by the serving size:

208 fluid ounces / 8 fluid ounces/serving = 26 servings

Therefore, Pablo made 26 servings according to the given measurements.

Learn more about Fluid Ounces:

https://brainly.com/question/1127291

#SPJ1

Complete question:

Pablo mixed 5/2 quarts of fruit juice with 1 gallon of seltzer. If each serving is 8 fluid ounces, how many servings did Pablo make?

Answers:

A: 20

B: 26

C: 32

D: 36

1. The expression to represent the amount of money on the gift card is y = 50 - 5x.

2. The number of weeks is 10 weeks.

From the information, Lenny received a $50 gift card to his favorite ice cream shop and the cost of the ice cream each week is $5.

The equation to represent the amount of money on the gift card, y, after x weeks will be:

y = 50 - 5(x)

y = 50 - 5x

The number of weeks that it takes him to finish the money will be:

50 - 5x = 0

5x = 50

Divide

x = 50/5 = 10

There'll be 10 weeks.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

To learn more about the confidence interval visit:

https://brainly.com/question/14041846.

#SPJ1

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

for such more question on Sasquatch

https://brainly.com/question/26866234

#SPJ11

Answer:

421/6 degrees

Step-by-step explanation:

The acute angles of a right triangle are complementary, so

\(10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}\)

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

Answer:

The Y intercept of this line is -3.

Step-by-step explanation:

The X intercept of the crossing line is about -1.4.
On finding the Y intercept:
Step 1: look at the vertical black line (Y Axis)

Step 2: Locate where the blue line crosses on this line.
Step 3: graph Y function of the point as your answer.

Hope this helped a bunch!
Have a great day!
- Kit-Kat~

6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

Answer:

y intercept = 5

Step-by-step explanation:

f(x)=5•(1/6)^x

The y intercept is when x =0

Let x =0

f(0)=5•(1/6)^0      

= 5* 1     = 5

The y intercept is 5

If the question is

f(x)=5•(1/6)x

although I have never seen the question written this way

The y intercept is when x =0

Let x =0

f(0)=5•(1/6)0      

= 5* 0     = 0

The y intercept is 0

Answer:

B.    1

Step-by-step explanation:

The y-intercept occurs at x = 0

therefor the applicable function is

f(x) = -x + 1

at x=0

f(0) = -0 + 1

f(0) = 1

Answer:

\(\sqrt{325}\)

Step-by-step explanation:

This is because you use Pythagorean theorem. a^2 + b^2 = c^2.

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

The ratio of quarters to the total number of coins is 25:100, or simplified to 1:4.

What is the ratio and proportion ?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).

To find the ratio of quarters to the total number of coins, we need to first calculate the total number of coins.

Total number of coins = number of quarters + number of dimes + number of pennies + number of nickels

Total number of coins = 25 + 20 + 50 + 5

Total number of coins = 100

Therefore, the total number of coins is 100.

The ratio of quarters to the total number of coins is:

Quarters : Total number of coins

= 25 : 100

= 1 : 4

Hence, the answer is option 3. 1/4.

Therefore, the ratio of quarters to the total number of coins is 25:100, or simplified to 1:4.

To know more about ratio and proportion visit :

https://brainly.com/question/12024093

#SPJ1

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

for such more question dilation

https://brainly.com/question/4526933

#SPJ11

Answer:

sphere volume = 3052.1 in³

Step-by-step explanation:

sphere volume = 4/3πr³ = 4/3(3.14)(9³) = 3052.1 in³

Answer:

Where are the graph(s)?

Step-by-step explanation:

Answer: Its A on eng for the graphs.

Step-by-step explanation:

Answer:  1/ 233856 chance changed to 233856  x 2 = 467712

= 1 / 467712 chance as there are 2 drawings

Workings;

1 and 65 = 64

1 and 65 - 1 ball drawn = 63

1 and 60 -1 = 58

1/64 x 1/63 x 1/58 = 233856

1/4032 x 1/58 and to make these the same we 4038/58 =  69.62

then convert properly = 1/4032  x 69.62/4032 4032 x 4032 = 69.62/16257024 then 16257024/69.62 =233510.83

= 233511 chance if rounding before

1/ (233511 x 2) = 1/467022

Then one part is our actual probability

P) = 1/233856

But as they specified a special drawing

you need to repeat this as 64 x 63 x 58 x 2 as the last one cannot be in 1 drawing it has to be in 2nd drawing

233856  x 2 = 467712

= 1 / 467712 chance not rounding down before hand.

The probability that either event will occur is 0.33

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 8 + 7 + 30

Evaluate

Total = 45

So, we have

P(A) = 8/45

P(B) = 7/45

For either events, we have

P(A or B) = 8/45 + 7/45

P(A or B) = 15/45

Evaluate

P(A or B) = 0.33

Hence, the probability that either event will occur is 0.33

Read more about probability at

brainly.com/question/251701

#SPJ1

Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

9514 1404 393

Answer:

  B. In 3 seconds, the space station travels 15 miles

Step-by-step explanation:

The x-axis is labeled "Time (seconds)", so an x-coordinate of 3 will correspond to a time of 3 seconds.

At that x-coordinate, the graph has a y-value of 15 (miles). This tells you ...

  In 3 seconds, the space station travels 15 miles

_____

Additional comment

The graph is not a graph of speed, as the title suggests. Rather, it is a graph of position versus time. The slope of the graph is speed.

Answer:

1.50

Step-by-step explanation:

4.50÷3= 1.50 to check you could do 1.50 x 3

Answer:

2 2/9

Step-by-step explanation:

6-4=2

1/3 is equal to 3/9

3/9-1/9=2/9

Combine them

2 2/9

Hope it Helps!

Answer:

(7P+1)X^2+(5P-1)X+P=1. (7P+1)X^2+(5P-1)X+P-1=0

The quadratic will have equal roots it its discriminant = 0

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

Answer:

  0, 0.9, 2, √5, 47/14

Step-by-step explanation:

Your calculator can help you round these to 1 decimal place:

  √5 ≈ 2.2

  47/14 ≈ 3.4

Then the order in decimal is ...

  0, 0.9, 2, 2.2, 3.4

In the original form, the order is ...

  0, 0.9, 2, √5, 47/14

_____

Additional comment

When comparing numbers in decimal, the most-significant digits are compared first. The one in the left-most number place is the greatest. If both are in the same number place, then the highest digit is the greatest. if both are the same, then comparison proceeds to consider the digits in the number place to the immediate right.

Here, the most-significant digits of 0, 2, 2.2 and 3.4 are in the units place, so 3 identifies the largest value. Of the remaining, 2.0 and 2.2 have units digits of 2, so we must look at the tenths digit to determine 2.2 > 2.0. Now, we have 3.4 > 2.2 > 2.

The numbers 0.0 and 0.9 both have units digits of 0, so we look at the tenths place to see that 0.9 > 0.0. This puts the numbers in order ...

  3.4 > 2.2 > 2 > 0.9 > 0 . . . . . greatest to least

The order we're interested in is the reverse of this order, least to greatest.

Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

Step-by-step explanation:

Let P be the initial amount she invested in an account that pays 6% interest.

Then, amount invested in other account = 2P

Simple interest = Principal x rate x time

After one year, for the first account,

Interest = P(0.06)(1)  = 0.06P

For second account,

Interest = (2P)(0.07)(1)=0.14P

Total interest = \(0.06P+0.14P=1000\)

\(\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000\)

2P = 2(5000)=10000

Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

At the interest rate of 6%, amount invested is; $5000

At interest rate of 7%, amount invested is; $10000

Let P be the initial amount that Ms. Hagan invested in the 6% interest account that

Since she invested twice as much in the 7% interest account as in the 6% interest account, then;

Initial amount invested in the 7% interest account = 2P

Formula for Simple interest is;

I = Principal × rate × time

Interest after 1 year for the 6% interest account is,

I_1 = P × 0.06 × 1

I_1 = 0.06P

Interest after 1 year for the 7% interest account is,

I_2 = 2P × 0.07 × 1

I_2 = 0.14P

Total investment pays her $1000 after a year. Thus;

0.06P + 0.14P = 1000

0.2P = 1000

P = 1000/0.2

P = $5000

Then amount initially invested in the 7% interest account = 2P = $10000

Read more about simple interest at; https://brainly.com/question/1873210 at;

Answer:

0.25-1/4

0.14-7/50

1.4-7/5

0.4-2/5

0.375-3/8

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ1

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

for such more question on variable

https://brainly.com/question/19803308

#SPJ8