coffee break prepares a blend of coffee containing arabica beans and brazil beans in the ratio 4:3
calculate the weight of arabica beans in a blend of 455g

Answer:

26

Step-by-step explanation:

4 (6-2) + 62 - 52 =

4 x 4 + 62 - 52 =

16 + 62 - 52 =

78 - 52 = 26

26

Answer:

20.625 pounds of dog food

Step-by-step explanation:

You have to multiply the two values in the equation to find how many pounds of dog food is in 3 3/4 bags of dog food

Answer:

20 5/8 pounds

Step-by-step explanation:

5 1/2 × 3 3/4

= 20 5/8

Answer:

x=17

Step-by-step explanation:

There are two congruent angles so we can double the given values and set that equal to 360. After setting that equal to 360 you find that x is equal to 17, then you plug that into the original equations and get your angles

Answer:

Increase in surface area =  126 cm²

Step-by-step explanation:

Surface area of the rectangular prism has the dimensions as

Length = 42 cm

Width = 35 cm

Height = 64 cm

Total surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length of the box

b = Width of rectangular box

h = height

Total surface area = 2(42×35 + 35×64 + 64×42)

= 2(1470 + 2240 + 2688)

= 12796 cm²

If height is increased by by 1.5 cm, new height of the box = 64 + 1.5 = 65.5 cm

Surface area of the box = 2(42×35 + 35×65.5 + 65.5×42)

= 2(1470 + 2240 + 2751)

= 12922 cm²

Increase in surface area = 12922 - 12796

                                          = 126 cm²

Step-by-step explanation:

[tex] {9}^{2} - 14 = \\ = 81 - 14 = \\ = 67[/tex]

Answer:

Step-by-step explanation:

You must find the value of m in order to evaluate the expression.

[tex]\sf{m^2-14}[/tex]

For m=9

[tex]\sf{9^2-14}[/tex]

Solve.

Use the order of operations.

PEMDAS

First, do exponents.

[tex]\sf{9^2-14}[/tex]

[tex]\sf{9^2=9*9=81}[/tex]

[tex]\sf{81-14}[/tex]

Subtract.

[tex]\sf{81-14=\boxed{\sf{67}}[/tex]

[tex]\Longrightarrow: \boxed{\sf{67}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

The line with a slope of 1/2 is steeper

Step-by-step explanation:

Here, we want to get which slope is steeper

mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes

The line with a slope that is of greater value will be steeper

Mathematically, 1/2 is a greater number than 1/3

That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line

Answer:

7m^2+13

Step-by-step explanation:

7m^2 + 10m + 3

Add the numbers ;10+3=13

=7m^2+13

Hope this helped!!!

Answer:

177 ft below sea level

Step-by-step explanation:

282

10 x 12 = 120. This represents how man ft the hot air balloon rose.

282 - 120 = 162. Keep in mind your still below sea level.

162 + 15 = 177

You add 15 because the hot air balloon is going down 15 feet which adds to being below sea level. ( Your going deeper/lower)

Answer:

You're lucky I have the dot plot, other wise this could not be answered.

Median: 7.5

Mean: 7.5

Yes, they are both 7.5.

Answer:

y = 3

hope it helps and your day will be full of happiness

Answer:

OOP BACK AT IT AGAIN.

The answer is B. 7 times 12 equals 84. 80 is the goal you are trying to meet.

Answer:

m =  [tex]\frac{4}{3}[/tex]

Answer:

Point C

Step-by-step explanation:

6/5 = 1 1/5, and point C looks the closest to 1 1/5

Answer:

a. Please find attached the plot of the points (0, 0) and (5, 15)

b. The point (0, 0) represents the start point

The point (5, 15) represents the point in the relationship between the water level and the change in time after 5 seconds

c. Please find attached the graph showing the Linear Trendline drawn between the points (0, 0) and (5, 15)

d. The line represents the possible combination time and water level during filling the bucket

e. The equation of the line is y = 3·x

Step-by-step explanation:

The rate at which the empty bucket is filled = 3 inches per second

a. Please find attached the plot made with Microsoft Excel of the points (0, 0) and (5, 15)

b. The points in part (a) (0, 0) and (5, 15) represent the following stages;

1) The point (0, 0) represents the point where the bucket is initially empty before filling the bucket with water

2) The point (5, 15) represents the 5 seconds of filling the bucket with water to a level of 15 inches

c) Please find attached the plot of the points with a Linear Trendline drawn between the points created with Microsoft Excel

d. The straight line drawn from point (5, 15) and passing through the origin at (0, 0) represents the proportional relationship between the water level in the bucket and the amount of time used in filling the bucket

e. The equation of the line is the equation of a proportional relationship which can be expressed in the following form;

y = kx

k = y/x

At the point (5, 15), we have;

y = 15, and x = 5

∴ k = 15/5 = 3 = The rate at which the bucket is filled with water

k = 3

Therefore, we have;

y/x = k = 3

∴ y/x = 3

y = 3 × x = 3·x

The equation of the line is therefore;

y = 3·x

Answer:

-85

Step-by-step explanation:

We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.

This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].

Of course [tex]a_{1}[/tex] is equal to 1. Therefore,

[tex]a_{1[/tex] = 1

[tex]r=[/tex]

[tex]n=[/tex]

(-2) is the change per number in the sequence, therefore -2 is our "r".

[tex]a_{1[/tex] = 1

[tex]r=-2[/tex]

[tex]n=[/tex]

The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".

[tex]a_{1}=1[/tex]

[tex]r=-2[/tex]

[tex]n=8[/tex]

Use the geometric sequence sum formula and substitute :

[tex]a_{1} \frac{1-r^n}{1-r}[/tex]

[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]

[tex]1* \frac{1-(-2)^8}{1+2}[/tex]

[tex]1* \frac{1-256}{1+2}[/tex]

[tex]1* \frac{-255}{3}[/tex]

[tex]1 * -85[/tex]

[tex]-85[/tex]

Answer:

x = 24.75

Step-by-step explanation:

28/8 = 2x+3/15

420 = 16x +24

396 = 16x

x = 24.75

2(24.75) +3 =

49.5 + 3 = 52.5

Answer:

x=9

Step-by-step explanation:

let's find the scale factor of the enlargement ∆ABC of ∆ADE

k=28/20=7/5 or 1.4

Now k×|AD|=|AB|

Therefore

k×|DE|=2x+3

7/5×15=2x+3

21=2x+3

21-3=2x

2x=18

x=9

let me know if I was right

Answer: P= 5 Hope I helped you

Answer:

50%

Step-by-step explanation:

Answer:

Hence Brand B is the better buy, since the unit cost is smaller than A

Step-by-step explanation:

Given data

Brand A

Has a pack of 28 pencils for $5.29

unit cost

=5.29/28

=$0.19

Brand B

Has a pack of 48 pencils for $8.47

unit cost

=8.47/48

=$0.18

Answer: 32

Step-by-step explanation: 4/2=2 16*2=32

Answer:

RT = 24

Step-by-step explanation:

Diagonals of rectangles bisects each other and equal in length (congruent) to each other.

Thus

US = RT

US = 2(RO)

4x - 16 = 2(x + 2)

4x - 16 = 2x + 4

2x = 20

x = 10

RT = 2(RO)

= 2(x+2)

= 2(10 + 2)

= 2(12)

= 24

Answer:

$23.8 million

Step-by-step explanation:

w = previous weekends earnings

16.2 = .68w

x = 16.2/0.68

x = 23.8

The Triangle RST is missing, so i have attached it.

Answer:

A) TZ = 34

B) ZW = 17

C) SY = 69

D) XZ = 21

Step-by-step explanation:

To form the centroid, we see median drawn from the centre of all three sides.

Thus means the 3 sides are divided into 2 and as such;

XS = XT

YR = YT

WR = WT

Now, for median that forms centroid, the two parts are usually not the same length but instead in the ratio 2:1. That means one portion of the line segment is twice the length of the other.

Thus, by inspection of the given triangle, we can say that;

SZ = 2(ZY)

TZ = 2(ZW)

RZ = 2(XZ)

A) Now, we are given TW = 51

TW is made up of TZ and ZW

But since TZ : ZW = 2:1, it means that;

TZ = ⅔ × TW

TZ = ⅔ × 51

TZ = 34

B) From earlier, we saw that TZ = 2(ZW).

Thus; 34 = 2(ZW)

ZW = 34/2

ZW = 17

C) We are given ZY = 23.

From earlier, we saw that;SZ = 2(ZY)

Thus; SZ = 2(23)

SZ = 46

From the attached image we can see that;

SY = SZ + ZY

Thus;

SY = 46 + 23

SY = 69

D) We are given RZ = 42.

From earlier, we saw that;

RZ = 2(XZ)

Thus;

42 = 2(XZ)

XZ = 42/2

XZ = 21

Answer:

Answer is in picture and explanation below.

Step-by-step explanation:

Continuing from the picture,

Area of Metal base = Area of Bigger Circle - Area of Hollow Circle

=

[tex]1156\pi {mm}^{2} - 225\pi {mm}^{2} \\ = 931\pi {mm}^{2} [/tex]

Volume of Cylinder = Area of Metal base x Height (Length in this case)

=

[tex]931\pi {mm}^{2} \times 40 \\ = 37240\pi {mm}^{3} [/tex]

Answer:

4 + 3n

Step-by-step explanation:

Number of seed planed in his garden = 4

Let the Number of seed planted in each neighbor's garden = n

Number of neighbors he has = 3

The total number of seeds planted can be represented by the equation :

Number of seeds planted in his garden + (number of neighbors * number of seeds planted in each neighbors garden)

4 + 3n

Answer:

Step-by-step explanation:

Root:

n≈0.00833333 m + 0.666667

Root for the variable n:

n≈-0.0833333 (-0.1 m - 8)

Derivative:

d/dm(0.1 m + 8 - 12 n) = 0.1

Indefinite integral:

integral(8 + 0.1 m - 12 n) dm = 0.05 m^2 - 12 m n + 8 m + constant

Definite integral over a disk of radius R:

integral integral_(m^2 + n^2<R^2)(0.1 m - 12 n + 8) dm dn = 8 π R^2 + 0

Definite integral over a square of edge length 2 L:

integral_(-L)^L integral_(-L)^L (8 + 0.1 m - 12 n) dn dm = 32 L^2 + 0

Answer:

Option C

Step-by-step explanation:

ΔABC and ΔDEF are similar triangles.

By the property of similar triangles, corresponding sides of the similar triangle are proportional.

[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]

[tex]\frac{6}{DE}=\frac{6}{3}=\frac{10}{5}[/tex]

[tex]\frac{6}{DE}=\frac{6}{3}[/tex]

DE = 3

Perimeter of ΔDEF = Sum of measures of the sides of the triangle

                                = DE + EF + DF

                                = 3 + 3 + 5

                                = 11

Therefore, Option C will be the correct option.

Answer: Yes, because you only need 249 in^2 and it will cover 280 in^2

Step-by-step explanation:

SA=LW+2WH+2LH

SA=13(9)+2(9)(3)+2(13)(3)

SA=249 IN