Ms. palmer has 1 1/2gallons of orange juice.

how many servings of juice can she make, in cups?

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]

The Tree casts a height of 10.41 feet tall.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Connor is 6 feet tall and casts a shadow that is 2.5 feet long.

He stands next to a tree that is 25 feet tall.

let the shadow of tree is x feet long.

Using proportion

6/ 2.5 = 25/x

6x = 62.5

x= 10.41 feet

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Answer:

2

5

Step-by-step explanation:

fraction of girls in the class is 6

5

so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4

10(total number of students) is

2

5 when simplified

Answer:

j=-56

Step-by-step explanation:

Hi!

j-38 = -95

Because -95 is negative, j has to be less than one. If a negative is subtracted off of a negative, the number becomes smaller -95+39= j.

-95+39=-56

Answer:

j = -56

Step-by-step explanation:

j - 39 = -95

Add 39 to both sides:

j - 39 = -95

 + 39  + 39

j = -56

Final answer: j = -56

Hope this helps!

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

Using the t-distribution, it is found that the 90% confidence interval is of  2.71 hours to 3.29 hours.

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The other parameters are given as follows:

[tex]\overline{x} = 3, s = \sqrt{0.5} = 0.707, n = 25[/tex]

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 3 - 2.0639\frac{0.707}{\sqrt{25}} = 2.71[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 3 + 2.0639\frac{0.707}{\sqrt{25}} = 3.29[/tex]

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Answer:

1 and 5 are corresponding angle

8 and 4 are corresponding angle

4 and 6 are alternate interior angle

2 and 8 are alternate exterior angle

7 and 3 are corresponding angle

2 and 6 are corresponding angle

3 and 5 are alternate interior angle

1 and 7 are alternate exterior angle

Answer:

It is the fourth option, D.

The period of the given function is  2π/3, the phase shift is 4, and the vertical shift is 6 units.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function:

y = csc[3(x+ 4)]+ 6

Every each revolution of 2π the function repeats the same value for every x.

The period of the original function is 2π

For the given function plug 2π

y = csc[3(x+ 4)+2π]+ 6

y = csc[3(x+ 2π/3+4)]+ 6

The period of the function will be 2π/3

From the function, the phase shift = 4

And vertical shift = 6

Thus, the period of the given function is  2π/3, the phase shift is 4, and the vertical shift is 6 units.

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Option 3

Step-by-step explanation:

Answer:

Step 2

Step-by-step explanation:

Solving

The error has occurred in Step 2.

The distribution of -2 to 6y and -5 gives -12y and 10 respectively.

Instead, the distribution has not happened between -2 and -5.

A B and F seem like questions that make sense :)

Answer:

Abc

Step-by-step explanation:

they make the most reasonable answers

Answer:

3.7

Step-by-step explanation:

Given

Solving for cosθ

Finding tanθ

Verifying it lies in the range

Answer: 3

Step-by-step explanation:

596/1000 and 59.6%

Step-by-step explanation:

because when we make 596/1000 is 0.596

Answer:

I think your answer is A, correct me if I'm wrong

Answer:

3360.

Step-by-step explanation:

That would be the number of permutations of 3 from 16.

= 16P3

= 16!/(16-3)!

= 16*15*14

= 3360

Answer:

3 360 permutations

Step-by-step explanation:

the number of permutations :

16P3 = 16 × 15 × 14 = 3 360

Step-by-step explanation:

3,740,231,580

we normally start rounding from the end so the last number should be checked. If it's not more than 5, then make it a zero and move on to the next. if it's more than five, make the number zero and add 1 to the the next number. So this is how it will look.

3,740,231,580

3,740,231,580

3,740,231,590

3,740,231,600

3,740,232,000

3,740,230,000

3,740,200,000

3,740,000,000

And I think that's it

Answer:

in terms of pi: 24pi cm squared

substituting pi for 3.14: 75.36 cm squared

Step-by-step explanation:

8pi + 16pi = 24pi

Answer:

Quadrant 3 so the answer should be c

Answer:

20%

Step-by-step explanation:

2:10 = 2/10 = 20/100 = 20%

The total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²

From the question, we are to determine the total surface area of the cylinder

The total surface area of a cylinder can be calculated by using the formula,

T.S.A = 2πr² + 2πrh = 2πr(r +h)

Where r is the radius

and h  is the height

From the given information,

h = 8 cm

r = 4 cm

Putting the parameters into the formula, we get

T.S.A = 2π×4(4 +8)

T.S.A = 8π(12)

T.S.A = 96π cm²

Hence, the total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²

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Answer:

35°

Step-by-step explanation:

7π=210°

so I assume you just divide 210° by 6 and that comes out to 35°

I HOPE this helps!

Answer:

[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]

Build a proportional equation:

[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]

[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]

[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]

[tex]\rightarrow \sf 100 = 6x+60[/tex]

[tex]\rightarrow \sf 40= 6x[/tex]

[tex]\rightarrow \sf x = 40/6[/tex]

[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]

[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10.      (6x+60)/10=10

4. Multiply each side by 10.    6x+60=100

5. simplify.    6x=40       3x=20

6. divide each side by 3.    x=20/3

(Sorry about my last answer)

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.

j + t = 33 equation 1

4t = 2j

j = 2t equation 2

Where:

j = number of jolly rangers

t = j = number of twix

Substitute for j in equation 1 using equation 2

2t + t = 33

3t = 33

t = 11

Subsitute for t in equation 2

j = 11 x 2 = 33

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The solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

The equation is given as:

[tex]\sqrt[3]{x + 8} = -4[/tex]

Take the cube of both sides

x + 8 = -64

Subtract 8 from both sides

x = 72

Hence, the solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

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Using the Empirical Rule, it is found that she scores between 119 and 141 on 68% of the games that she bowls.

It states that, for a normally distributed random variable:

In this problem, considering that the mean is of 130 and the standard deviation is of 11, the interval between 119 and 141 is within one standard deviation of the mean, hence she scores between 119 and 141 on 68% of the games that she bowls.

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Step-by-step explanation:

[tex](3x + 1) + 8(2x - 3) = 4(3x - 1) - 7(x - 4) \\ 3x + 1 + 16x - 24 = 12x - 4 - 7x + 28 \\ 19x - 23 = 5x + 24 \\ 19x - 5x = 24 + 23 \\ 14x = 47 \\ x = \frac{47}{14} [/tex]

Answer:

2/3 of 24 is 16/24

5/8 of 24 is 15/24

Step-by-step explanation:

if you multiply across 2/3 by 8/8 it equal to 16/24

if you multiply across 5/8 by 3/3 it equal to 15/24

Answer:

16/24 and  15/24

Step-by-step explanation:

To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.