Question 7 Finally, select point D and move it around the circumference of circle A. Which type of polygon is formed by the line segments joining points A, B, and C?

Answer:

a. The equation is s =  [tex]\frac{1}{3}[/tex]  w

b. [tex]1\frac{5}{12}[/tex]  cups of sugar will be needed to follow the recipe

Step-by-step explanation:

The equation of the direct proportional relation is y = k x, where

We can find the value of k by using the initial values of x and y

Let us use this rule to solve the question

∵ In the recipe for 1/2 cup of sugar for every 1 1/2 cups of water

→ That means the number of cups of sugar is in proportion to the

   number of cups of water

∵ s represents the number of cups of sugar

∵ w represents the number of cups of water

∴ s ∝ w ⇒ (∝ a sign of proportion)

∴ s = k w ⇒ k is the constant of proportionality

∵ s = [tex]\frac{1}{2}[/tex] and w = [tex]1\frac{1}{2}=\frac{3}{2}[/tex]

Substitute the values of s and w in the equation above to find k

∵ [tex]\frac{1}{2}[/tex] = k × [tex]\frac{3}{2}[/tex]

→ Multiply both sides by 2 to cancel the denominators

∴ 1 = 3 k

→ Divide both sides by 3 to find k

∴ [tex]\frac{1}{3}[/tex] = k

∴ The equation is s =  [tex]\frac{1}{3}[/tex]  w ⇒ a.

→ We need to find the number of sugar cups for 4 1/4 cups of water

∵ w = [tex]4\frac{1}{4}=\frac{17}{4}[/tex]

∵ s =  [tex]\frac{1}{3}[/tex]  w

→ Substitute w by 5/4

∴ s = [tex]\frac{1}{3}[/tex] × [tex]\frac{17}{4}[/tex]

∴ s = [tex]\frac{17}{12}=1\frac{5}{12}[/tex]

∴  [tex]1\frac{5}{12}[/tex]  cups of sugar will be needed to follow the recipe ⇒ b.

Answer:

144 fluid ounces

Step-by-step explanation:

Answer:

yes

yes

no

no

yes

Step-by-step explanation:

f(x) = y = x² + 2x = x(x + 2)

the y-intercept (the point with the y value where x = 0) is

y = 0² + 2×0 = 0

yes, the y-intercept is (0, 0).

yes, the graph opens upward, as x² is the most powerful and therefore driving term in the expression. so, it behaves basically like x².

no, the x-intercepts are the points, where y = 0.

and while (0, 0) is correct, but (2, 0) is not.

x = 2 gives us 2² + 2×2 = 4 + 4 = 8 as y value.

the second correct x-intercept would be (-2, 0).

x = -2 gives us (-2)² + 2×-2 = 4 - 4 = 0

no (see last point)

yes, the vertex is (-1, -1).

we get the extreme value (in this case the minimum, as the curve opens upward) by finding the zero of the first derivative :

f'(x) = 2x + 2 = 0

2x = -2

x = -1

y = (-1)² + 2×-1 = 1 - 2 = -1

Answer:

The answer should be 6:2

Answer:

6 : 2

Step-by-step explanation:

There's 6 blue units & 2 yellow units; hope this helps!

The law of syllogism is similar to the transitive property:

a->b and b->c  => a->c

So

p->q and _____ => p->r

will require the second proposition to be q->r, which completes the syllogism

p-> and q->r => p->r

Answer:

c. 48 books, 120 stuffed animals

Step-by-step explanation:

Evelyn

Ratio of books to stuffed animals

12 : 30 = 2 : 5

Checking all options

A. 36 books, 126 stuffed animals

36 : 126

6 : 21

2 : 7

b. 60 books, 84 stuffed animals

60 : 84

10 : 14

5 : 7

c. 48 books, 120 stuffed animals

4 : 10

2 : 5

d. 90 books, 36 stuffed animals

90 : 36

15 : 6

5 : 2

e. 45 books, 18 stuffed animals

45 : 18

5 : 2

The correct answer is option c. 48 books, 120 stuffed animals

Answer:

[tex]y\leq \dfrac12x+3[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (-6, 0) and (0, 3)

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-3}{-6-0}=\dfrac12[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=\dfrac12(x-(-6))[/tex]

[tex]\implies \sf y=\dfrac12x+3[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is solid, and the shading is below the line,

[tex]\implies \sf y\leq \dfrac12x+3[/tex]

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{4-3}{2}=1/2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=1/2x[/tex]

[tex]\\ \tt\Rrightarrow y=1/2x+3[/tex]

Equation of shaded region

[tex]\\ \tt\Rrightarrow y\leqslant 1/2x+3[/tex]

Answer:

-112

Step-by-step explanation:

Simplified:-40 - 72=-112

Answer:

A Monomial

A single term algebraic expression is called:

Constant term

Step-by-step explanation:

A term of an algebraic expression that has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.

Example:
The algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression.


Have a great rest of your day
#TheWizzer

Single term algebraic expression is called ''Monomial''.

The monomial is a product of powers of variable with non negative integer exponent. It is the algebraic expression with single term.

Given that;

Single term in algebraic expression.

Now,

Since, We know that;

The algebraic expression with single term is called ''Monomial''.

And, The algebraic expression with double term is called ''Binomial''.

Thus, Single term algebraic expression is called ''Monomial''.

Learn more about the monomial visit:

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#SPJ2

Answer:

A

[tex]\boxed{a=\frac{9}{2}}}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Step-by-step explanation:

By ratio and proportion

Let's solve for "a" first:-

[tex]\cfrac{a}{6} =\cfrac{6}{8}[/tex]

[tex]8a=36[/tex]

[tex]\cfrac{8a}{8}=\cfrac{36}{8}[/tex]

[tex]\boxed{a=\frac{9}{2}}}[/tex]

Now, Let's solve for "b":-

[tex]\cfrac{b}{6} =\cfrac{10}{8}[/tex]

[tex]8b=60[/tex]

[tex]\cfrac{8b}{8}=\cfrac{60}{8}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Therefore, your answer is A!!!!

~

Melvin would have mowed 12/25 of the lawn of the when he takes his first break.

An equation is an expression that shows the relationship between two or more numbers and variables.

The total number of squares in the lawn = 100, 3/10 of the lawn = (3/10) * 100 = 30 squares

The number of squares already mowed = 18

Hence:

Fraction of the lawn Melvin have mowed when he takes his first break = (18 + 30) / 100 = 48/100 = 12/25

Melvin would have mowed 12/25 of the lawn of the when he takes his first break.

Find out more on equation at: https://brainly.com/question/2972832

Answer: Each gallon costs $3.85

Step-by-step explanation:

We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:

$46.20 ÷ 12 = $3.85

Each gallon costs $3.85

Answer:

Last answer got erased lol

Step-by-step explanation:

divide all numbers by two.

think faster and mby think better too

Answer:

f[g(x)]

7(x^2)-9

Step-by-step explanation:

(fºg)(x) read: f of g of x. And can be seen written like in this format: f[g(x)]. Which I prefer.

The expression f[g(x)] means that you put the expression g(x) into the x variable for f(x). Comment if you need a better explanation :)

Answer:

5894

Step-by-step explanation:

1  mile is 1760

so multiply 1760 by 3.4

Answer:

Yes, 9

Step-by-step explanation:

Use order of operations.

Step 1:

(1+2)=3

Step 2: This leaves you with:

6÷2(3)

Step 3: From this point on, we go from left to right:

6÷2=3

3(3)=9

Answer:

The original price is $7926.83

Step-by-step explanation:

Step 1: Subtract the percent of the discount from the percent of the original cost:

100% - 18% = 82%

Step 2: Convert the percent to a decimal.

82% = 0.82

Step 3: Solve for the original price.

[tex]\frac{0.82x}{0.82} = \frac{6500}{0.82}[/tex]

= 7926.829268 (Round to the nearest tenths)

$7926.83

Hope it helps!!!

Answer:

x = 8.4

Step-by-step explanation:

For the 51° angle, 5.3 is the adjacent leg.

x is the hypotenuse.

cos 51° = adj/hyp

cos 51° = 5.3/x

x = 5.3/cos 51°

x = 8.4

Answer:

  a. $4307.96

  b. 4.76 years

  c. $0.99

Step-by-step explanation:

These questions can be answered using the relevant formulas for future value of an investment.

For compound interest, the account balance is given by ...

  A = P(1 +r/n)^(nt) . . . . principal P at annual rate r compounded n times per year for t years

$4000 at 2.48% compounded quarterly for 3 years will give an account balance of ...

  A = $4000(1 +0.0248/4)^(4·3) = $4000×1.0062^12 ≈ $4307.96

After 3 years, there will be $4307.96 in the account.

__

After earning $500 in interest, the account balance will be $4500. That means we need to solve for t such that ...

  4500 = 4000(1.0062^(4t))

  log(4500/4000)/(4×log(1.0062)) = t ≈ 4.764

It will take about 4.76 years to earn $500 interest.

__

The future value of an account with continuous compounding is given by ...

  A = Pe^(rt)

  A = $4000e^(0.0248·3) ≈ $4308.95

Then the additional interest is ...

  $4308.95 -4307.96 = $0.99

If the money is compounded continuously, there will be $0.99 more in the account after 3 years.

Answer:

Part A: the width of the rectangle is 3x+4

Part B: the area of the rectangle is 12x²+13x-4

Answer:13/15

Step-by-step explanation:

Add 7/9 and 2/3 the answer is 13/9 then divide it by 5/3 in order for you to divide get the reciprocal of 5/3 which is 3/5 then multiply it and you well get 13/15

Answer:

13/15

Step-by-step explanation:

The answer is 13/15 because:

1) In order to figure out what 7/9 + 2/3 is, we need to find the common denominator. The common denominator is 9 because 3 contains the factor 9.

7/9 + 6/9 = 13/9

We need to multiply the denominator to get to 9: 3 x 3 = 9. We have to multiply the numerator as well: 2 x 3 = 6.

2) Next, we have to divide 13/9 and 5/3. In order to divide we have to find the reciprocal of the second number. Reciprocal means to flip the fraction. The reciprocal of 5/3 is 3/5.

3) Finally, we just have to multiply 13/9 and 3/5 which is 39/45. 39/45 in simplest form is 13/15.

Hope this helps! :D

Answer:

m<TQS=23

Step-by-step explanation:

(3x-5)+(x+1)

4x-4=180

   +      +

4x=184

---    ----

4       4

x= 46

46/2

=23

If a ray QT bisects <RQS, then [tex]m<TQS=23.5[/tex] °

Given :

a ray QT bisects <RQS

<PQR and <RQS is a linear pair . It makes and angle 180 degree

[tex]m<PQR+m<RQS=180[/tex]

From the diagram,

m<PQR=3x-5, and m<RQS=x+1

Substitute the expression and solve for x

[tex]m<PQR+m<RQS=180\\3x-5+x+1=180\\4x-4=180\\4x=180+4\\4x=184\\Divide \; by \; 4\\x=46[/tex]

now ,  [tex]m<RQS = x+1 =46+1=47[/tex]

Given  QT bisects <RQS. it means QT divides RQS equally

[tex]m<TQS= \frac{m<RQS}{2} \\m<TQS= \frac{47}{2} \\\\m<TQS=23.5[/tex]

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Answer:

x=2

Step-by-step explanation:

3x+2=8

subtract 2 from both sides

3x=6

divide both sides by 3

x=2

3(2)+2=8

6+2=8

8=8

Answer: 4

Step-by-step explanation:

Answer: 50 right?

Step-by-step explanation:

Answer:

30 plus 20

Step-by-step explanation:

or 15 35

25 25

or 0 59

Let's solve for x

9(2x+1) < 9x - 18

18x+9 < 9x-18

18x-9x < -18-9

9x < -27

x < -27/9

x < -3

Any value smaller than -3 is in the solution set

That means we have {-4, -5, -6, ...} as our solution set if x was only allowed to be an integer.

We can rule out choices B through D because of this. Only choice A remains, which I'm assuming you meant to say -4 instead of simply 4. If choice A says -4, then this is the answer.

If it doesn't say -4, then that isn't the answer and none of the answer choices work.

Note: if your original inequality is [tex]9(2x+1) \le 9x-18[/tex] then it solves to [tex]x \le -3[/tex] allowing x = -3 to be part of the solution set now. If you have an "or equal to" then that means B) -3 is the answer.

It seems like there might be a typo somewhere so I would double check.

Answer:

(B) (C) (E)

Step-by-step explanation:

50% of 60 minutes is 30 minutes

0.50 * 60 = 30

10% of 60 minutes is 6 minutes

0.10 * 60 = 6

75% of 60 minutes is 45 minutes

0.75 * 60 = 45

the order is, 65% of 80, 170% of 30, 82% of 50

0.65 * 80 = 52

0.82 * 50 = 41

1.70 * 30 = 51

200,000 * 0.01x = 130,000

130,000/200,000 = 0.65

0.65/0.01 = 65

the plane used 65% of fuel capacity on this flight

Answer:

Step-by-step explanation:

1) 50% of 60 minutes is 30 minutes

2) 10% of 60 minutes is 6 minutes

3) 75% of 60 minutes is 45 minutes

4) 52%

5) 41%

6)51%

FINAL QUESTION:

260,000,000 fuel used

x = 180 - 118 ( linear angles)

x = 62

62+62+y = 180

y = 56

Answer:

Step-by-step explanation:

Angle of a straight line = 180 degrees :)

So to find x you would do:

x = 180 - 118 = 62

Also the angle sum of a triangle = 180 degrees.

Since it is an isosceles triangle, the bottom two angles would be equal:

Angle sum of triangle = 180

x + x + y = 180

Since we know x = 62, substitute it into the above equation:

62 + 62 + y = 180

124 + y = 180

Subtract 124 from both sides to solve for y.

y = 180 - 124

y = 56