Mary makes trail mix with bulk nuts and dried fruit. She spends $4.50 on the dried fruit. Mixed nuts cost $2.50 per pound. She has a total of $12 to spend. What are the possible number of pounds of nuts she can buy?

Answer:

53/21 OR 2 11/21

Step-by-step explanation:

1 4/6 + 6/7

Change 1 4/6 into an improper fraction

1 4/6 6x1= 6+4= 10/6

Simplify 10/6 --> 5/3

5/3+ 6/7

find a common denominator (21)

35/21+18/21= 53/21

mixed number form is 2 11/21

Answer:

[tex]2 \frac{11}{21}[/tex]

Step-by-step explanation:

1 4/6 + 6/7 = 2 11/21

Answer:

68

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We are to determine the value of KM which is adjacent to angle 35. we also have the value for the hypotenuse. Thus we would use COS

Cos 35 = adjacent /hypotenuse

0.8192 = adjacent / 123

adjacent = 0.8192 x 123 = 100.7557 cm

100.8 cm

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

im sorry i cant these numbers

Step-by-step explanation:

Answer:

the answer is 8,000.

Step-by-step explanation:

1/6 _12/85/907 4456

first put h then a then aaaaaaaaaaaaaaaaaaaaaaa then hah

Answer:

∠1 = ∠5

Step-by-step explanation:

The reason is because corresponding angles are equal! :)

Answer:

a. Unsure

b. True

c. Unsure

d. True

A - False

B - True

C- False

D- True

Answer: 120

Step-by-step explanation:

5/3 X 4/3 X 2= 40/9

40/9 Divided by 1/3

40/3

[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-

[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]

[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]

[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]

✐ 3 fractions equivalent to [tex] \frac{12}{27} [/tex] are ⇻ [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

14 sides

Step-by-step explanation:

Sum of the interior angles of a polygon is given by the formula (n-2)180°. So (n-2)180° = 2160°. So the polygon has 14 sides.

Answer:C

Step-by-step explanation:

Answer:

Ratio=BG/RT=RA/BA=TA/AG

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

For a wave function, the amplitude is the distance from the maximum or minimum of the function to the midline. The period is the length of which the wave cycle repeats (for example y=sinx has a period of 2pi).

Answer:

Amplitude is the height from the mean, or rest,value of the function to its maximum or minimum . ...The period is the distance required for the function to complete one full cycle. For the sin function, the amplitude is given by and the period is defined as. The same is true for a cosine function.

Step-by-step explanation:

☆hope it is helpful to you ☆

[tex]nisha[/tex]

Answer:

Present age of the car = 1.5 years and the tires are 0.5 years old.

Step-by-step explanation:

Let the present age of the car be x years and that of the tires be y years.

x = 3y

x = y + 1

3y = y + 1

2y = 1

y = 0.5.

x = 3*0.5 = 1.5.

Answer:

4

Step-by-step explanation:

[tex]\lim_{n \to \ -\pi } (f(x) - g(x))\\\\ = \lim_{n \to \ -\pi } (3 - cos x)\\\\ = 3 - cos( - \pi) = 3 - cos(\pi)\\\\ = 3 - (-1) = 3 + 1 = 4[/tex]

Answer:

34 i belive not 100% sure but what grade level is this

Step-by-step explanation:

Answer:

its ajwhwowhwkwuquwwyqkqhqoagwkw6shsossgsjiwhesishsisjsjsishwiwgaisujwwisu

Answer:

146 Ounces.

Step-by-step explanation:

9.125 [tex](\frac{1}{8})[/tex] lbs to ounces.

Multiply the mass value by 16.

To Check Work:

Divide 146 by 16 which equals [tex]\frac{73}{8}[/tex]/ 9.125.

Divide 146 by 9.125 [tex](\frac{1}{8})[/tex] which equals 16.

Nisbah sebara : nisbah yg mempunyai bentuk terendah yg sama

Pasangan nisbah yang berkadaran : nisbah yg mempunyai bentuk terendah yg sama

Answer:0.849185

Step-by-step explanation:

Binomial probability formula we will use:

[tex]$P(x)=\frac{n !}{x !(n-x) !} p^{x} q^{n-x}$[/tex]

where,

[tex]n=5$\\$\mathrm{P}$ (probability of success) $=0.3$\\q=1-p[/tex]

The computation of the probability will be :

[tex]$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$[/tex]

The probability that at most 4 are accepted = 0.849185

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

Answer:

[tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx = 3x^\bigg{\frac{4}{3}} - \frac{3x^\bigg{\frac{2}{3}}}{2} + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

Integration

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int { \Big( 4x^\bigg{\frac{1}{3}} - x^\bigg{\frac{-1}{3}} \Big) } \, dx[/tex]

Step 2: Integrate

Step 3: Check

Differentiate the answer.

∴ we have found the answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

x = 6

y = 24

Step-by-step explanation:

Recall: length of corresponding sides of similar figures are proportional to each other.

Thus:

4/12 = x/18 = 8/y

Find x:

4/12 = x/18

1/3 = x/18

Cross multiply

3x = 18

3x/3 = 18/3

x = 6

Find y:

4/12 = 8/y

1/3 = 8/y

Cross multiply

y = 8*3

y = 24

Answer:

X = 8

Step-by-step explanation:

Answer:

C

It is the only point that connects the two lines

Answer:

The answer is below

Step-by-step explanation:

a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.

Let x be the length of the hypotenuse, using Pythagoras:

x² = 25² + 25²

x² = 1250

x = 35 (to the nearest whole number)

b) Using sine rule:

[tex]\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)[/tex]

Answer: 1) V≈1244.07 in             2) V≈54286.72 ft         3) V≈23816.41 yd

Step-by-step explanation: