A customer at a bakery paid $78.30 for donuts and cupcakes. Each donut cost $1.95 and each cupcake cost $2.85. If they bought a total of 30 donuts and cupcakes, how many donuts did they buy?​

Answer:

5 meters

Step-by-step explanation:

If the smallest rectangle has a length of 8 meters, and a perimeter of 24 meters then its width is given by:

[tex]24 = 2*8+2*W_1\\W_1= 4\ meters[/tex]

We can conclude that the width is half of the length for both rectangles. Therefore, the width of the larger rectangle, with a perimeter of 30 meters, is:

[tex]30 = 2*W_2+2*L_2\\30 = 2*W_2+4*W_2\\W_2=5\ meters[/tex]

The width of the original rectangle is 5 meters.

Answer:

5

Step-by-step explanation:

Find the scale factor

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z -----> the scale factor

P1 -----> the perimeter of the reduced rectangle on the right

P2 ----> the perimeter of the original rectangle on the left

substitute

step 2

Find the width of the reduced rectangle on the right

substitute the given values.

Find the width of the original rectangle on the left.

To find the width of the original rectangle on the left, divide the width of the reduced rectangle on the right by the scale factor.

Answer:

1.98

Step-by-step explanation:

y - x + z for

x = 4.7, y = 6, and z=0.68

6 - 4.7 +.68

1.3+.68

1.98

Answer:

[tex]= 1.98 \\ [/tex]

Step-by-step explanation:

given that,

[tex]x = 4.7 \\ y = 6 \\ z = 0.68[/tex]

Let's solve now

[tex]y - x + z \\ 6 - 4.7 + 0.68 \\ 1.3 + 0.68 \\ = 1.98[/tex]

Answer:

a) y=4x-3

Step-by-step explanation:

Find the slope by comparing the values within one column. If you subtract 1 from -3, you'll get the value of 4. You then notice that each time, the value increases by 4. Since the y= column is increasing by one, the value therefore remains constant because 4 divided by 1 is always 4.

Now, to find the coefficient, just look at where the y value is 0. Whatever number x is when the value is 0, that will be your coefficient because it is the y-intercept (the initial starting value); in this case -3

Answer:

A

Step-by-step explanation:

First, calculate the slope by doing rise over run.

We can do this between the first 2 points:

[tex]\frac{4}{1}[/tex] = 4

The slope is positive 4, and the y-intercept is (0, -3)

The equation is A, y = 4x - 3

Answer:

a = 30

Step-by-step explanation:

a/ 50 = 3/5

Using cross products

a*5 = 50 *3

5a = 150

Divide each side by 5

5a/5 = 150/5

a = 30

Answer:

[tex]a =30[/tex]

Step-by-step explanation:

[tex] \frac{a}{50} = \frac{3}{5} [/tex]

[tex]use \: \: \: cross \: \: multiple[/tex]

[tex]5a = 50 \times 3 \\ 5a = 150 \\ \frac{5a}{5} = \frac{150}{5} \\ a = 30[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: pls mark me brainiest

Step-by-step explanation:

I am very sure that the answer is V≈351.86

Answer:

112π

Step-by-step explanation:

Cubic units are units when talking in the 3rd dimension

The volume of a cylinder is πr² x h

find the area of the base first.

since we can write it in terms of π, don't worry about decimals.

The radius is 4.

plug it in, the base's area is 16π. Multiply that by the height, 7.

16(7)π 

112π is the volume

Answer:

c is true

Step-by-step explanation:

Answer:

0 and  -1

Step-by-step explanation:

Hello,

[tex]x^3+2x^2+x = x(x^2+2x+1)=x(x+1)^2[/tex]

so the roots are

0 and -1 (to get x+1=0 )

do not hesitate if you need further explanation

hope this helps

Answer:

It's actually X = 0, X = - 1, with multiplicity 2, Option D, on Edge2020

Step-by-step explanation:

I just did it on edge :)

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that [tex]x = 2y[/tex]

Kayte earns $3 more per hour than Austin.

This means that [tex]y = z + 3[/tex]

As a group, they earn $41 per hour.

This means that [tex]x + y + z = 41[/tex]

What is Austin's hourly wage?​

This is z.

[tex]x + y + z = 41[/tex]

[tex]y = z + 3[/tex] and [tex]x = 2y[/tex], so [tex]x = 2(z + 3) = 2z + 6[/tex]

[tex]x + y + z = 41[/tex]

[tex]2z + 6 + z + 3 + z = 41[/tex]

[tex]4z + 9 = 41[/tex]

[tex]4z = 32[/tex]

[tex]z = \frac{32}{4}[/tex]

[tex]z = 8[/tex]

Austin's hourly wage is $8.

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

We can write this problem as a system of linear equations.

We define T: Tara's hourly wage, A: Austin's hourly wage and K: Kayte's hourly wage.

Then, if Tara earns twice as much per hour as Kayte, we have:

[tex]T=2K[/tex]

If Kayte earns $3 more per hour than Austin, we have:

[tex]K=A+3[/tex]

And if they earn $41 per hour as a group, we know:

[tex]T+K+A=41[/tex]

We can use all equations to replace in the third one, as:

[tex]T+K+A=41\\\\(2K)+K+A=41\\\\3K+A=41\\\\3(A+3)+A=41\\\\3A+9+A=41\\\\4A=41-9=32\\\\A=32/4=8[/tex]

Austin's hourly wage is $8.

Answer:

i) 3x

ii) d = 260 - 3x

Step-by-step explanation:

Given:

Conner traveled x feet

Alexandra traveled 2x feet

Total distance = 260 ft

i) The expression in terms of x to represent the total number of feet Conner and Alexandra have walked toward one another will be:

This will be the total number of feet they have walked towards one another

= x + 2x

= 3x

ii) An expression in terms of x to represent the distance (in feet) between Conner and Alexandra.

This will be to find the distance between Conner and Alexandra.

Thus, distance between them will be:

d = 260 - (x + 2x)

d = 260 - 3x

Answer:

16.25 acres

Step-by-step explanation:

If corn is 1/4 of the land and we have 65 acres, we merely multiply 1/4 to 65.

You get 16.25 acres.

Answer:

16.25acres

Step-by-step explanation:

65/4=16.25 or 16 and 1/4

Answer:

17.52

Step-by-step explanation:

literally 11.6 x 1.51 and then round to hundredth place

Answer:

If x + 5x = 90, 6x = 90 so x = 15, 5x = 75.

Answer: x= 15, 5x=75

Step-by-step explanation:

x=15                                      

x+5x=90

Add similar elements

6x=90

6x/6=90/6

x=15

5x=75

x=15

5x=15x5

15x5=75

Answer:

Step-by-step explanation:

Consider the sets A and B

(A − (A ∩ B)) ∩ (B − (A ∩ B))

= (A ∩ (A ∩ B)c) ∩ (B ∩ (A ∩ B)c) by the set difference law

= (A ∩ (Ac ∩ B)c) ∩ (B ∩ (Ac ∩ B)c) by De Morgan's law

= {(A ∩ Ac) ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ (B ∩ Bc)} by the distributive law

= {∅ ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ ∅} by complementation

= {A ∩ Bc} ∩ {B ∩ Ac} by identity law

= (A ∩ Ac) ∩ (B ∩ Ac) by the associative law

= ∅ ∩ ∅ by complementation

= ∅ by the universal bound law

Therefore,  (A − (A ∩ B)) ∩ (B − (A ∩ B)) = ∅

Answer:

Considere los conjuntos A y B

(A − (A ∩ B)) ∩ (B − (A ∩ B))

= (A ∩ (A ∩ B)c) ∩ (B ∩ (A ∩ B)c) por la ley de diferencia establecida

= (A ∩ (Ac ∩ B)c) ∩ (B ∩ (Ac ∩ B)c) por la ley de De Morgan

= {(A ∩ Ac) ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ (B ∩ Bc)} por la ley distributiva

= {∅ ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ ∅} complementando

= {A ∩ Bc} ∩ {B ∩ Ac} por ley de identidad

= (A ∩ Ac) ∩ (B ∩ Ac) por la ley asociativa

= ∅ ∩ ∅ complementando

= ∅ por la ley universal consolidada

Step-by-step explanation:

Answer:

Step-by-step explanation:

first you have to see itis an arithmetic or geometric sequence.

then find common difference(for A.P) or common ratio (for G.P)

c.d .=an-an-1

c.r. =an/an-1

1.G.P.

2. A.P

3.G.P

3,5,25/3,125/9,...

c.r.=5/3

or (25/3)/5=25/(3*5)=5/3

or 125/9÷25/3=125/9×3/25=(125×3)/(9×25)=5/3

Answer:

0.37

Step-by-step explanation:

As shown in table,

The probability of the fruit is orange is P(A) = 0.3

The probability of the fruit is organic is P(B)

The probability of the fruit is orange and organic is P(A⋂B) = 0.11

=> The probability that a randomly selected orange is organic is calculated by applying the conditional probability formula:

P(B|A) =P(A⋂B)/P(A) = 0.11/0.3 = 0.37

=> Option D is correct

Hope this helps!

Step-by-step explanation:

4y + 6 = 16

you can find y (meters)

then replace y value in every side of this shape

then plus all line you will receive the perimeter

Answer:

The probability that the mean of this sample is less than 16.1 ounces of beverage is 0.0537.

Step-by-step explanation:

We are given that the average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 ounces.

A random sample of sixty-five 16-ounce beverage cans are selected

Let [tex]\bar X[/tex] = sample mean amount of a beverage

The z-score probability distribution for the sample mean is given by;

                          Z  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean amount of a beverage = 16.18 ounces

           [tex]\sigma[/tex] = standard deviation = 0.4 ounces

           n = sample of 16-ounce beverage cans = 65

Now, the probability that the mean of this sample is less than 16.1 ounces of beverage is given by = P([tex]\bar X[/tex] < 16.1 ounces)

   P([tex]\bar X[/tex] < 16.1 ounces) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\frac{16.1-16.18}{\frac{0.4}{\sqrt{65} } }[/tex] ) = P(Z < -1.61) = 1 - P(Z [tex]\leq[/tex] 1.61)

                                                    = 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9591.

Answer:

  see below

Step-by-step explanation:

A relation is "direct variation" if it can be written in the form ...

   y = kx

for some constant k. That value can be found from any line* in a table that has direct variation:

  k = y/x

_____

* A table with direct variation may have the entry (x, y) = (0, 0). That table entry cannot be used to find the value of k. If either x or y is zero, the other must be also if the variation is direct.

Answer:

first 3

Step-by-step explanation:

tell me if u need an explanation

Answer:

  £123,000

Step-by-step explanation:

Their combined income is ...

  £18,500 +22,500 = £41,000

They can borrow 3 times this amount, or ...

  3 × £41,000 = £123,000

__

Comment on this transaction

The required deposit is 5% of 130,000 = 6,500, which is more than their savings. After this down payment is made, the remaining value is £123,500, which exceeds their borrowing power. It appears that Emma and Max need to find a house with a lower price.

Answer:

-5x^4

Step-by-step explanation:

Cube root of -125 is -5

Cube root of n^12 is n^4

Answer:

3 x (-125n^12)^1/2

Step-by-step explanation:

Answer:

109.090909....%(goes on indefinitely)

Step-by-step explanation:

If you are only consuming 1100, and your goal is 1200, as a percentage your target is 1200/1100 of what you are consuming. That simplifies to 12/11, which would mean as a percentage, your target is 109.0909090909...% of what you are consuming.

Answer:

??????

Step-by-step explanation:

Step-by-step explanation:

idk what is the order of those mesretments. but its 2*s of every 2 opposite rectangles (2*s1+2s2+2s3) that s1 is height*length s2 is length*width and s3 is height*width

Answer:

[tex]P(t)=M+Ce^{-kt}[/tex]

Step-by-step explanation:

Given the differential model

[tex]\dfrac{dP}{dt}=k[M-P(t)][/tex]

We are required to solve the equation for P(t).

[tex]\dfrac{dP}{dt}=kM-kP(t)\\$Add kP(t) to both sides\\\dfrac{dP}{dt}+kP(t)=kM\\$Taking the integrating factor\\e^{\int k dt} =e^{kt}\\$Multiply all through by the integrating factor\\\dfrac{dP}{dt}e^{kt}+kP(t)e^{kt}=kMe^{kt}\\\dfrac{dP}{dt}e^{kt}=kMe^{kt}\\(Pe^{kt})'=kMe^{kt} dt\\$Take the integral of both sides with respect to t\\\int (Pe^{kt})'=\int kMe^{kt} dt\\Pe^{kt}=kM \int e^{kt} dt\\Pe^{kt}=\dfrac{kM}{k} e^{kt} + C_0, C_0$ a constant of integration[/tex]

[tex]Pe^{kt}=Me^{kt} + C\\$Divide both side by e^{kt}\\P(t)=M+Ce^{-kt}\\P(t)=M+Ce^{-kt}\\$Therefore:\\P(t)=M+Ce^{-kt}[/tex]

Answer:

36 Units.

Step-by-step explanation:

In the diagram attached, K, M, P and R are points of tangency.

Theorem: Tangents to a circle from the same point are equal.

By the theorem above,

LK=LM=6 Units

NM=NP=2 Units

QP=QR=7 Units

JR=JK=3 Units

Therefore:

JL=JK+KL=3+6=9 Units

LN=LM+LN=6+2=8 Units

NQ=NP+PQ=2+7=9 Units

QJ=QR+RJ=7+3=10 Units

Therefore, the perimeter of the polygon JLNQ =9+8+9+10

=36 Units.

Note: The second diagram shows the theorem already applied.

Answer:

option b

Step-by-step explanation:

b i did it on edge

Answer:

Step-by-step explanation:

mode is what number is there the most and range is the highest take the lowest

Answer:

Step-by-step explanation:

mode is what number is there the most and range is the highest take the lowest

Answer:

  15 cm

Step-by-step explanation:

7 cm taller than 8 cm is 15 cm tall.

Dee is 15 cm tall.

Answer:

Dee's height is

[tex]1665cm[/tex]

Step-by-step explanation:

[tex]jo = 888cm \\ dee = 777cm \: \: \: taller \: \: \: than \: \: jo \\ [/tex]

So

[tex]dee = 888 + 777 \\ = 1665cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = 19

Step-by-step explanation:

In the attached file

Answer:

the anwser is in the text

Step-by-step explanation: