Steve ate 1/ 4 of a pizza, then Scott ate 2/ 3 of the pizza. What fraction of the pizza is remaining?

Answer:

D. Two hours exercising and eight hours cleaning

Step-by-step explanation:

Rob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercising horses and $10 an hour cleaning stalls. Because Rob is a full-time student, he can work no more than 12 hours per week. However, he must make at least $60 per week.

x = hrs. exercising horses

y = hrs. cleaning stalls

Equations:

Hours he can work per week:

x + y ≤ 12

Amount of money he can make per week:

5x + 10y ≥ 60

Now, graph your equations into desmos.

As you can see in the graph, the correct answer is D (2, 8)

Check your answer by hand:

x + y ≤ 12

2 + 8 ≤ 12

10 ≤ 12

This statement is correct

5x + 10y ≥ 60

5(2) + 10(8) ≥ 60

10 + 80 ≥ 60

90 ≥ 60

This statement is correct

Therefore, the correct answer is D

Hope this helps!

If Sarah took the advertising department from her company on a round trip to meet with a potential client. The number of first class tickets she buy is 2 and the coach tickets  she buy is 5.

Let x represent the number of first class tickets

Let 7-x represent the number of coach tickets

1050x + 160(7-x) = 2900

1050x + 1120 -160x = 2900

Combine like terms

890x = 1780

Divide both side by 890x

x = 1780/890

x = 2 (First class tickets)

Coach tickets

7-x where x is 2

= 7- 2

= 5

Therefore the first class tickets is 2 and the coach tickets is 5.

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Answer:

c) The answer "night of wor" is not related to the given concept of "100 + 10 = 9 remainder 0." Therefore, the answer is wrong.

d) The learner says that "3 is closer to one" when comparing it to 4. This statement is incorrect because 4 is actually closer to 1 than 3. The learner has misunderstood the concept of closeness or proximity. Therefore, the answer is wrong.

e) The learner says that the number represented by the Dienes blocks is "1 000 100 101." To determine if this answer is right or wrong, we need more information about the representation of Dienes blocks. However, assuming each cube represents a unit, the correct representation of the number should be "1 001." Therefore, the answer is wrong.

A square and a rectangle differ in terms of their properties. A square is a special type of rectangle where all sides are equal, and all angles are right angles. In contrast, a rectangle has opposite sides that are equal, but not necessarily all sides. Both squares and rectangles have four sides, but squares have additional properties that make them unique.

To show two different rectangles with a perimeter of 12 cm, we can consider the following examples:

- Rectangle 1: Length = 3 cm, Width = 3 cm (perimeter = 2 × (3 + 3) = 12 cm)

- Rectangle 2: Length = 4 cm, Width = 2 cm (perimeter = 2 × (4 + 2) = 12 cm)

Yes, a trapezium can have three different kinds of angles: right angles, acute angles, and obtuse angles. A trapezium is a quadrilateral with at least one pair of parallel sides. Since it is not required for a trapezium to have all angles of the same type, it is possible for it to have a combination of right angles, acute angles, and obtuse angles.

Refer to the image attached.

Answer: B) 7 x π

Step-by-step explanation:

π is irrational since it doesn't have an end(yet)

Answer:

Eleven Fourteenths

Step-by-step explanation:

Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14

Answer:

c

Step-by-step explanation:

i took the test

Answer:

The answers are as follows:

5. \(12+3 = 3+12\)

7. \((6+4)+8 = 6+(4+8)\)

9. \((10*5)*7 = 10*(5*7)\)

Step-by-step explanation:

5. 12 and 3

Commutative property of addition states that the order of two numbers in addition doesn't matter; the result will be the same. If a and b are two numbers then the property will be:

a+b = b+a

For the given question, the commutative property will be:

\(12+3 = 3+12\)

Associative property deals with three numbers or variables. It states that when 3 numbers are being added or multiplied their order doesn't affect the result.

It can be stated as:

(a+b)+c = a+(b+c)

7. 6,4 and 8

The associative property will be:

\((6+4)+8 = 6+(4+8)\)

9. 10,5 and 7

\((10*5)*7 = 10*(5*7)\)

Hence,

The answers are as follows:

5. \(12+3 = 3+12\)

7. \((6+4)+8 = 6+(4+8)\)

9. \((10*5)*7 = 10*(5*7)\)

Answer: which tea bag is 60?

Step-by-step explanation:

Answer: ratio of black tea bags = 36, green bags = 24

Step-by-step explanation: first you add the ratio 6 and 4, which will give you ten, then you divide them consecutively by 10 and multiply by 60. this will give you 6/10 \(*\) 60 = 36 and 4/10 \(*\) 60 = 24.

I hpoe i have satisfied you with my answer

Ok, so:

To find the slope of the segment, we have to take two points:

Let's take: A(2,6) and B(1,3).

We calculate the slope as this:

m =( ( y2 - y1 ) / ( x2 - x1 )).

Where A( x1, y1) and B( x2, y2) are the points we took.

Then, m = (3 - 6) / (1-2), this is m = -3/-1, and that's equal to m=3

The area of the circle is 78.5 square yards and the circumference of the circle is 31.4  yards

The radius of the circle is given as:

r = 5 yard

The area is calculated using

A = pi r^2

Substitute the known values in the above equation

A =3.14 * 5^2

Evaluate the exponent

A =3.14 * 25

Evaluate the product

A =78.5

Hence, the area of the circle is 78.5 square yards

The radius of the circle is given as:

r = 5 yard

The circumference is calculated using

C = 2pi r

Substitute the known values in the above equation

C =2 * 3.14 * 5

Evaluate the product

C = 31.4

Hence, the circumference of the circle is 31.4  yards

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Answer:

Law of sine

Angle R = 34°

Step-by-step explanation:

From the question given above, the following data were obtained:

Side opposite angle Q (q) = 54 ft

Angle Q = 96 °

Side opposite angle R (r) = 30 ft

Angle R =?

The value of angle R can be obtained by using the law of sine as illustrated below:

r / Sine R = q / Sine Q

30 / Sine R = 54 / Sine 96

Cross multiply

54 × Sine R = 30 × Sine 96

54 × Sine R = 30 × 0.9945

54 × Sine R = 29.835

Divide both side by 54

Sine R = 29.835 / 54

Sine R = 0.5525

Take the inverse of Sine

R = Sine¯¹ 0.5525

R = 34°

Thus, the value of angle R is 34°

Answer:

To add mixed numbers, we first need to convert them to improper fractions. 5 2/3 = (5 x 3 + 2)/3 = 17/3 6 21/23 = (6 x 23 + 21)/23 = 139/23 Now we add the fractions together: 17/3 + 29/69 + 139/23 To add these fractions, we need to find a common denominator. The smallest common denominator for 3, 69, and 23 is 3 x 69 x 23 = 15087. So we rewrite each fraction with the common denominator: 17/3 x 5039/5039 = 85763/15087 29/69 x 219/219 = 633/15087 139/23 x 657/657 = 9123/15087

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Based on the definition of the formula unit, the only one that is an example of this concept is NaCl.

In chemistry, this concept refers to the representation of an ionic compound. This formula differs from others because it displays the lowest possible ratio in which the ions have the same charges and therefore the compound is neutral.

A classical example of this concept is NaCl because this includes a cation (positively charged) and an anion (negatively charged). Moreover, in this formula, the compound shows the lowest possible ratio between the two elements.

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Answer:

BC = 24 (D)

Step-by-step explanation:

Special Right Triangles (30-60-90 triangle)

Answer:

The property the equation illustrates would be the zero property of addition.

Step-by-step explanation:

The additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number.

Answer:

The probability that one marble drawn at random is not blue is 70%

Answer: 9 x 10^-2

Step-by-step explanation: you need to get the number between 1-9. You can do that by moving the decimal to the right 2 times. That gives you 9.00 or 9. Since you moved it to the right 2 times that means the exponent would be negative

Answer:

Domain: (-∞,∞)

Range: (-∞,∞)

Answer:

x g(x)

-4 -22

-1 -7

0 -2

5 23

8 38

Explanation:

The complete table is:

x g(x)

-4 A

B -7

0 C

D 23

E 38

Then, the value of A can be calculated replacing x by -4 in g(x) as:

g(-4) = 5*(-4) - 2

g(-4) = -20 - 2

g(-4) = -22

The value of B can be calculated replacing g(x) by -7 and solving for x as:

- 7 = 5x - 2

- 7 + 2 = 5x

- 5 = 5x

-1 = x

The value of C can be calculated as:

g(0) = 5*0 -2

g(0) = -2

The value of D is:

23 = 5x - 2

23 + 2 = 5x

25 = 5x

25/5 = 5x/5

5 = x

The value of E is:

38 = 5x - 2

38 + 2 = 5x

40 = 5x

40/5 = 5x/5

8 = x

Answer:

a)   C(d) = 37.95 + 0.62d

b)  C(74) = 37.95 + 0.62(74)

83.8 dollars

c) 8181 miles

Step-by-step explanation:

The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.

So if one person travels one mile they will pay:

37.95 + 0.62

Two miles: 37.95 + 0.62 (2)

Three miles: 37.95 + 0.62 (3)

d miles: 37.95 + 0.62(d)

Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d

Now, if we drive 74 miles, the function that gives us the cost would be:

C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars

Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:

\(C(d)= 37.95+0.62d=5110\\37.95+0.62d=5110\\0.62d=5110-37.95\\0.62d=5072.05\\d=5072.05/ 0.62 \\d=8180.7\)

Thus, we could drive 8181 miles

Answer:

MKJ = (245/360) πd

Step-by-step explanation:

line JL is the diameter (as is NK). angle LQK = 60°. that means that since JL and NK are straight lines, angle JQN must also = 60°.

angles on a straight line must add up to 180°. so angle JQK = 180 - 60 = 120°. we know angle LQK = 60°. what about angle LQM? again, angles on straight line add up to 180°. so LQM = 180 - 60 - 55 = 65°.

a full circle is 360°.

we now have something to work with.

move counter-clockwise around the circle from M to J. we have (65 + 60 + 120)° = 245°.

in other words, we need to find the arc of 245/360 of this circle.

circumference of full circle is π X diameter = πd

so arc MKJ = (245/360) πd

Answer:

The critical region is F >F ₀.₀₁ (2,18) = 6.01

Step-by-step explanation:

For 1 way ANOVA the degrees of freedom Between Samples would 2 and within Samples would be 18 .

Alpha is given  to be = 0.01

v1 = k-1 and v2 = n-k

Where k is the number of rows and n is the total number of values

v1= 3-1= 2   and v2 = 21-3= 18

So if we look up the table we find the values of the critical region to be 6.01

Hence the critical region is less and equal to 6.01

The critical region is F >F ₀.₀₁ (2,18) = 6.01

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

6x+36=11x-9

11x-6x=36+9

5x=45

X=45

now,

45+Z=180

Z=180-45

Therefore,Z=135

6x+36=11x-9

or,11x-6x=36+9

or,5x=44

:X=35

We know that,

45+Z=180

or,Z=180-45

:Z=135

Ok, so

Given:

We want to find (fog)(x) and (gof)(x).

First, let's find (fog)(x).

This is:

So we're going to evaluate f in (x2 + 5).

Now, let's find (gof)(x). This is:

So we're going to evaluate g in the function f.

Answer:

flowers : daises

14 : 5

roses : daises

9         : 5

Step-by-step explanation:

14 - 9 = 5, so there are 5 daisies

flowers : daises

14 : 5

roses : daises

9         : 5

Answer:

a) flowers:daisies = 14:5

b) roses:daisies = 9:5

Step-by-step explanation:

Answer:

27.1149675 feet (27 feet 1⅜ inch)

Step-by-step explanation:

i think