Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes? A. 6 cups B. 7 cups C. 8 cups D. 9 cups

Answer:

5√11 ÷ 11 (The very last choice)

Step-by-step explanation:

I first found out what 5/√11 was and got 1.507556723 and checked all the other options and found that 5√11 ÷ 11 was the only option that had the exact same quotient as 5/√11.

Answer:

x=60°

Step-by-step explanation:

Let's say the point where angle x is, be K

Because ABCD and PQRS are paralelograms,

∡PSR = ∡PQR =130°

and

∡DAB=∡DCB=70°

and by angles between parallels

∡SPQ + ∡PQR = 180°

∡SPQ + 130° = 180°

∡SPQ = 50°

by angles opposite by vertex

∡PKC = ∡BKQ = x

So in triangle PKC the sum of all angles must add up to 180°

so

∡SPQ + ∡PKC + ∡DCB = 180

50 + x + 70 = 180

x = 60

Answer:

Area = 34. 81 yd^2

Perimeter = 86.6 feets

Step-by-step explanation:

Given the following :

Shape of Mrs. Johnson's plot = square

All sides of a square are of equal length

Measure of each side = 5.9 yd

A.) Area of plot

Area of plot = Area of a square

Area of a square(A) = a^2

Where a = side length

A = 5.9^2

A = 34.81 yd^2

B) Perimeter of Basil plot = Perimeter of a square

Converting yard to feet

1 yard = 3feets

Therefore,

5.9 yards = (3 * 5.9) = 17.7 feets

Fence is 2ft from the garden on each side,

Length of fence on each side = (2 + 17.7 + 2) Feets = 21.7 Feets

Perimeter of a square (P) = 4a

Where a = side length

P = 4 × 21.7

P = 86.6 feets

Answer:

86.6 feet

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation:

Answer:

The answer is A.) (4,-128)

Step-by-step explanation:

Answer:

0.2%=0.200%

756%=756.000%

762%=756.000%

90%=90.000%

( plz mark me as brainliest, that wold be most appreciated! )

Answer:

1/5

Step-by-step explanation:

2/9 * 9/10 = 2/10 = 1/5

Answer:

The answer is B.

Step-by-step explanation:

Since x < 1 the circle at the point is open and the arrow points infinitely in the negative direction (which happens to be answer A here)

x is also greater than or equal to -1 so a closed circle at the point -1 will complete this graph.

Answer:

Our set of data is:

A. their first choice (12 people)

B their second choice (7 people)

C their third choice (3 people)

D their last choice (3 people)

The total number of people is:

12 + 7 + 3 + 3 = 25.

You already know the number of people for each situation, but let's calculate the percentage:

1st choice: The first choice of 12 people winned, and the total number of people is 25.

Now, 25 is our 100%, then 12 is equivalent to x;

Then we have

12*100% = 25*x

x = (12/25)*100% = 48%

This is:

The quotient between

Second choice:

Same reasoning as above, here the percentage is:

(7/25)*100% = 28%

Third choice:

Same reasoning as above, here the percentage is:

(3/25)*100% = 12%

Fourth/Last choice:

Same reasoning as above, here the percentage is:

(3/25)*100% = 12%

Answer:

see proof below

Step-by-step explanation:

Let

p1,p2 = half lengths of chord p

q1,q2 = half length of chord q

By the intersecting chord theorem,

p1*p2 = q1*q2,    substituting p1=p2, q1=q2

p1^2 = q1*2

Take square-roots and reject negative roots

p1 = q1

therefore

p1=p2 = q1=q2, or

two parts of one chord are equal to the two parts of the other.

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer:

46 minutes.

Step-by-step explanation:

2 km in 13 minutes would equal to 6 minutes and 30 seconds per km.

minutes: 6 x 7 = 42

seconds: 30 x 7 = 210

seconds pt 2: 210/60 = 3 minutes 30 seconds

adding altogether: 42 minutes + 3 minutes 30 seconds + 45 minutes 30 seconds, rounded would equal to 46 minutes

Answer:

292

Step-by-step explanation:

To factor this, we need to multiply 18 by 18 to get 324 because the ^2 means you have to multiply the number by itself twice. Then, we subtract 32 from 324 to get our answer 292.

Answer:

[tex]y=\frac{1}{3} x+7[/tex]

Step-by-step explanation:

We need to find the equation of a line perpendicular to [tex]y=-3x-3[/tex], which passes through the point (-3, 6).

Recall that a line perpendicular to a line of the form: [tex]y=mx+b[/tex], must have a slope which is the opposite of the reciprocal of the slope of the original line. that is, a slope of the form;

[tex]slope=-\frac{1}{m}[/tex]

Then, in our case, since the original line has slope "-3", a perpendicular line to it should have a slope given by:

[tex]slope=-\frac{1}{-3} =\frac{1}{3}[/tex]

We now know the slope, and also a point for this new line, so we use the point-slope form of a line:

[tex]y-y_0=m_\perp\,(x-x_0)\\y-6=\frac{1}{3} (x-(-3))\\y-6=\frac{1}{3} x+\frac{3}{3} \\y-6=\frac{1}{3} x+1\\y=\frac{1}{3} x+7[/tex]

Answer:

sorry don't know what is ans

Answer:

Hi Mate!

plz don't scan the questions, it will be incorrect

Answer:

24.8 km

Step-by-step explanation

To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km

Answer:

6400

Step-by-step explanation:

Taxable amount=45000-13000=32000

tax=32000*20/100

=6400

Answer:

[tex]\sqrt{3}x^2y+x^3-x[/tex]

Step-by-step explanation:

In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.

The other expressions have exponents that are negatives, rational or the exponent is the same variable.

Answer:

f(x) = -2x + 1

Step-by-step explanation:

The given expression is [tex]\frac{64^x}{4^{5x-1}}[/tex]

By solving the given expression further,

[tex]\frac{64^x}{4^{5x-1}}[/tex] = [tex]\frac{[(4)^{3}]^x}{(4)^{5x-1}}[/tex] [Since 64 = 4³]

        = [tex]\frac{4^{3x}}{4^{5x-1}}[/tex]

        = [tex]4^{3x}\times 4^{-(5x-1)}[/tex] [Since [tex]\frac{1}{a}=a^{-1}[/tex]]

        = [tex]4^{3x-5x+1}[/tex] [Since [tex]a^x\times a^y=a^{(x+y)}[/tex]]

        = [tex]4^{(-2x+1)}[/tex]

By comparing the result with [tex]4^{\text{f(x)}}[/tex]

f(x) = -2x + 1

Therefore, f(x) = (-2x + 1) will be the answer.

Answer:

Data set A best fit by the regression line.

Answer:

Data Set C.

Step-by-step explanation:

Well just even by common sense, the line for "data set A" is not good for the points on the graph

Answer:

2).X= 3.464 m

3).X= 86.60m

4).X= 51.96 m

5).X= 30 m

6). X=3.193 m

7). X= 126.2 m

8).79.41m = x

9). 14.3km = x

10). 173.21 m= x

Step-by-step explanation:

For question 2

Distance of ladder from the foot

Tan60= 6/x

X= 6/tan 60

X= 3.464 m

For question 3

The height of the wall x is

Sin 60= x/100

X= 100*0.8660

X= 86.60m

Question 4

The distance between tree and tower is x

Tan30 = 30/x

X= 30/tan 30

X= 30/0.5774

X= 51.96 m

Question 5

If TanA= 3/4

And base = 40 m

TanA= x/40

Equating

X/40= 30/40

X= 30 m

Question 6

The length of ladder= x

Cos 20 = 3/x

X= 3/cos20

X=3.193 m

Question 7

Length of the string= x

Sin 31= 65/x

X= 65/sin 31

X= 126.2 m

Question 8

Height of kite= x

Tan ∅ = 15/8

∅= Tan^-1(15/8)

∅=61.93°

Sin∅= x/90

Sin61.93 *90= x

79.41m = x

Question 9

Height above ground= x

Tan 50= x/12

Tan 50 * 12 = x

14.3 km = x

Question 10

Height of balloon above ground= x

Sin60= x/200

Sin 60 *200 = x

173.21 m= x

Answer:

[tex]\boxed{u = 13.7}[/tex]

Step-by-step explanation:

Using cosine rule

[tex]c^2 = a^2+b^2-2ab\ CosC[/tex]

Here c = u, a = 9 , b = 21 and C = 28

[tex]u^2 = 9^2+21^2-2(9)(21)\ Cos 28\\u^2 = 81+441-(378)(0.88)\\u^2 = 522 - 333.75\\u^2 = 188.24[/tex]

Taking sqrt on both sides

u = 13.7

Answer:

u ≈ 13.7

Step-by-step explanation:

Using the Cosine rule in Δ STU, that is

u² = s² + t² - 2stcosU

Here s = 21, t = 9 and U = 28°, thus

u² = 21² + 9² - (2 × 21 × 9 × cos28°)

   = 441 + 81 - 378 cos28°

   = 522 - 378 cos28° ( take the square root of both sides )

u = [tex]\sqrt{522-378cos28}[/tex]

   ≈ 13.7 ( to the nearest tenth )

Answer: [tex]e=-50|t-40|+2000[/tex]

The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

Step-by-step explanation:

Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.

Then, total time taken to reach the peak = (Distance) ÷ (speed)

= (2,000 feet) ÷ ( 50 feet/minute)

= 40 minutes

Then, as the car moves down to the hill’s base, its elevation drops at the same rate.

The equation that models the cable car’s elevation, e, after t minutes is

e= (constant rate)|t- time to reach peak |+ Peak's height

[tex]e=-50|t-40|+2000[/tex]

When the cable car’s elevation will be 750 feet after minutes, then we have

[tex]750=-50|t-40|+2000\\\\\Rightarrow\ -50|t-40|=750-2000\\\\\Rightarrow\ -50|t-40|=1250\\\\\Rightarrow|t-40|=-\dfrac{1250}{50}\\\\\Rightarrow|t-40|=-25\\\\\Rightarrow t-40=-25\text{ or }t-40=25\\\\\Rightarrow t=-25+40\text{ or }t=25+40\\\\\Rightarrow t=15\text{ or }t=65[/tex]

Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

Answer: 10x454x0.55=2,497 grams of fruit

Answer:

(6, 1)

Step-by-step explanation:

x + 2y = 8

1. subtract 2y to get x alone -- x = -2y + 8

2. insert (-2y + 8) as x

2x - 2 = 10

2(-2y + 8) -2 = 10

3. distribute the 2

-4y + 16 - 2 = 10

4. combine like terms

-4y + 14 = 10

5. subtract 14 from both sides

-4y = -4

6. divide by -4

y = 1

7. plug y into any of the two original equations

x + 2(1) = 8

8. simplify

x + 2 = 8

x = 6

9. check answer with second equation

2(6) - 2 = 10

12 - 2 = 10

Answer:

Step-by-step explanation:

Hello,

[tex]8a(3x-2y)^2-12x +8y\\\\ = 8a(3x-2y)^2-4(3x-2y)\\\\ = (3x-2y)(8a(3x-2y)-4)\\\\=(3x-2)(24ax-16ay-4)[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

21

Step-by-step explanation:

since it is a triangle subtract 180 by 137 and 22

180-(137+22) or 180-132-22

hope this helps

Answer:

21

Step-by-step explanation:

We khow that the sum of a triangle's angles sizes is 180°

substract the sum of the two khown angles from 180°

so m<0 = 21°

Answer:

first blank = 10 (for table 1)

second blank = 30 (for table 2)

====================================================

Explanation:

You could use a calculator to determine the value of b, then compute b^x for that first box. But as the instructions state, we don't need to use one. Why is that? Because the tables provide enough information to fill in the blanks.

Table 1 shows x = 2.096 lead to some unknown y value. Meanwhile, table 2 has x = 10 lead to y = 2.096; note the 2.096 shows up again. The exponential and log functions are inverses of each other. They undo each other's operation. This is similar to how division undoes multiplication, and vice versa.

Going in reverse of table 2, we will conclude that 10 must go in the blank for table 1. Therefore, b^x = 10 when x = 2.096

------------

Similarly, we will have 30 in the blank for table 2. Table 1 shows x = 3.096 lead to y = 30. Table 2 is the reverse of that as it is the inverse.

Throughout either section, we didn't need to find the value of b.

The missing value in table 1 is 10 and for table 2 it is 30.

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

In the first table first column

x = 0.369 and bˣ = 1.5 ⇒

By logarithm

logbˣ = log1.5

xlogb = log1.5

Now x = 0.369

logb = 0.1760/0.369

b = 3

Now,

f(x) at x = 2.096 ⇒ [tex]3^{2.096}[/tex] = 10

And

x at g(x) = 3.096

[tex]log_{3}[/tex]x = 3.096 ⇒ x = 30.

Hence "The missing value in table 1 is 10 and for table 2 it is 30".

For more about logarithm,

https://brainly.com/question/20785664

#SPJ2

Answer:

3) 23 cm

4)10.1

5)50

Step-by-step explanation:Step-by-step explanation:

For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:

(x + a) ² = b

'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.

So, she can take square roots of both sides then, like this

√(x + a)² = √b

x + a = ±√b

x = -a ± √b

Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.

It is the nature of the problem being solved that determines if we take just one or both of these answers.