{2y=x+6{3x=y+7I just need to find the ordered paid

Answer:

change in buyer tastes.

Step-by-step explanation:

Buyers now want more donuts than the other goods.

increase in the cost of donuts is more likely to decrease the amount of donuts consumed, as they would be more expensive

consumers expecting something doesn't necessarily change anything, as they haven't yet dropped and therefore it's unlikely they'd increase the demand until they actually were cheaper.

Coffee doesn't necessarily effect donut sales, unless stated in the question.

Answer:

350 dollars

Step-by-step explanation:

(step 1) Find the cost per kilogramme of sugar in shop X

In shop X:

250 grams of sugar costs 150 dollars.

Remember that;

1000 grams = 1 kilogramme.

=> 250 grams will be equal to 0.25 kilogramme

Therefore (replacing 250 grams with 0.25 kilogramme) in shop X;

0.25 kilogramme of sugar costs 150 dollars

Now, if

0.25 kilogramme = 150 dollars,

=> 1 kilogramme =  150 dollars x 1 kilogramme / 0.25 kilogramme

=> 1 kilogramme = 600 dollars

Therefore, the cost per kilogramme of sugar in shop X is 600 dollars

(step 2) Find the cost per kilogramme of sugar in shop Y

In shop Y:

100 grams of sugar costs 95 dollars.

Remember that;

1000 grams = 1 kilogramme.

=> 100 grams will be equal to 0.1 kilogramme

Therefore (replacing 100 grams with 0.1 kilogramme) in shop Y;

0.1 kilogramme of sugar costs 95 dollars

Now, if

0.1 kilogramme = 95 dollars,

=> 1 kilogramme =  95 dollars x 1 kilogramme / 0.1 kilogramme

=> 1 kilogramme = 950 dollars

Therefore, the cost per kilogramme of sugar in shop Y is 950 dollars

(step 3) Find the difference in cost per kilogramme of sugar between the two shops

The difference is calculated by subtracting the cost per kilogramme of sugar in shop X from the cost per kilogramme of sugar in shop Y. i.e

=> cost per kilogramme of sugar in shop Y - cost per kilogramme of sugar in shop X

=> 950 dollars - 600 dollars

=> 350 dollars.

Therefore, the difference in cost per kilogramme is 350 dollars

Answer:

The total cost for 5 students would be free;

Explanation:

Given that Tickets for a school concert are free for students.

The cost is $1 for each adult.

Therefore, since the ticket is free for students, then the total cost for 5 students would be free;

Answer:

Step-by-step explanation:

use the rule they tell you of  1.5

so (x,y) ⇔1.5(x,y)

w = (2,0)

x = ( 0,2)

y = (-2, 1)

z = (0, -2)

1.5(x,y)

W' = (3,0)

X'= (0, 3)

Y' = ( -3, 1.5)

Z' = (0, -3)

nice :)

Answer:

you can download the app Socratic and it will tell you

Step-by-step explanation:

I use that app for all my classes

The measure of angle x is 72 degrees

A tangent to a circle is a straight line which touches the circle at only one point.

The tangent TU and UV intersect at point U.

Therefore,

m∠x = 1 / 2 (arc VST - 108)

arc VST  = 360 - 108 = 252

m∠x  = 252 - 108 / 2

m∠x  = 144 / 2

m∠x  = 72°

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Answer:

6 dinners

Step-by-step explanation:

6.    3

-   /   - = 6

1.      4

Answer:

7 with 2/4 remaining

Step-by-step explanation:

B. 2×2×5×11=220

if you divid 220 by 2=110

110÷2=55, 55÷5=11, 11÷11=1

2, 2,5, 11

Answer:

  5.2 square units

Step-by-step explanation:

You want the area of a triangle with sides 4 and 3, and the angle between them measuring 60°.

The formula for the area of a triangle is ...

  A = 1/2ab·sin(C)

Here, we have a=4, b=3, C=60°, so the area is ...

  A = 1/2·4·3·sin(60°) = 3√3 ≈ 5.2 . . . . square units

The area of the triangle is about 5.2 square units.

Answer:

The answer is 41.

Step-by-step explanation:

If b = 25, then just plug that into the equation: 16 + 25 = 41. Hope this helps! Have a good day, good luck on your assignment. :)

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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4 x + 3 + 5x + 7

collect like terms

4x + 5x +3 +7

9x + 10

the answer is option A

You can never achieve break even by selling any number of boxes of candy if it costs them an additional $3 to manufacture each box of candy.

In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even."

Although these opportunity costs have been paid and then capital has received the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."

Fixed cost (in manufacturing) = $500

Manufacturing cost of each candy = $3

and selling price of candy = $3

let x be a box of candy sold,

hence for no of box to be sold for a break even,

3x + 500 = 3x

but if you see above equation, that has no solution

Hence by providing each candy at $3 with $500 fixed cost and selling cost again at $3 you cannot achieve a break-even point.

hence there is no solution, and you will never be able to achieve break even.

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Answer:

numbers

Step-by-step explanation:

numbers

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Jessica has the higher score because her z score on the SAT is 1.05, which is greater than Ashley's z score on the ACT, which is 1.02.

Jessica scores 1830 on the SAT.

Ashley scores 27 on the ACT.

Assuming that both tests measure the same thing, then we have to determine who has the higher score.

Consider the z-score for Jessica's SAT score of 1830.

z = (x - μ)/σ

z = (1830 - 1498)/316

z = 332/316

z = 1.05

Consider z for Ashley, who has an ACT score of 27.

z = (27 - 21.5)/5.4

z = 5.5/5.4

z = 1.02

Jessica has the higher score because her z score on the SAT is 1.05, which is greater than Ashley's z score on the ACT, which is 1.02.

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

0,16,32,48,64,80,96,112

2,9,11,18,20,27,29,36,38

Step-by-step explanation:

1.Counting by 16

2. Counting by 7 and 2

Answer:

The width of computer = 24 inches

Step-by-step explanation:

Given that:

Ratio of width to height = 16 : 9

Height of monitor = 13.5 inches

Width of monitor = x

This forms a proportional relationship

16 : 9 :: x : 13.5

Product of mean = Product of extreme

9x = 13.5 * 16

9x = 216

Dividing both sides by 9

\(\frac{9x}{9}=\frac{216}{9}\\x=24\)

Hence,

The width of computer = 24 inches

Answer:

<1  = 35degrees

<2  = 30degrees

Step-by-step explanation:

Using the theorem that the sum of external angle is equal to sum of interior angle

Considering the smaller triangle

Exterior angle = 115 degrees

Sum of interior = <1 + 80

Equating both

<1 + 80 = 115

<1 = 115 - 80

<1  = 35degrees

For the big rectangle

Exterior angle = 115 degrees

Sum of interior = <2 + 85

Equating both

<2 + 85 = 115

<2 = 115 - 85

<2 = 30degrees

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t=   11/ 105.25 √1/5+ 1/10

t=  11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that  fatigue does not significantly increase errors on an attention task at 0.05 significance level

Answer:

62,000

Step-by-step explanation:

liters and milliliter is almost the same, but you just add 3 0s at the end

Answer:

Step-by-step explanation:

Hello,

What other numbers are of this form have exactly four factors?

\(8=2^3\text{ has 4 factors } 1, 2, 2^2, 2^3\\\\\text{For any prime p, }p^3\text{ has 4 factors } 1, p, p^2, p^3\\\\\)

Do all the perfect cubes have exactly four factors?

\(\text{If p is not prime, then it is not true anymore} \\ \\\text{For instance, }8^3\text{ has more than 4 factors } 1, 2^2, 2^3, 2^4, etc..\)

Is it true that all numbers that have exactly four factors are perfect cubes?

6 has 4 factors : 1, 2, 3, 6 but this is not a perfect cube.

Thank you.

We know that any number can be decomposed as a product of prime numbers.

For example:

\(8 = 1\cdot 2\cdot 2\cdot 2\)

8 has four factors if we count the 1.

Now we need to answer some questions regarding this:

What other numbers are of this form have exactly four factors?

8 is a cube number.

Remember that all cube numbers X can be written as:

\(X = n\cdot n\cdot n \cdot 1\)

Now, if n is prime, then we can say that X is of the form of 8 and also has 4 factors.

But let's see the case:

\(8\cdot 8\cdot8= 512\)

512 is a perfect cube, and if we decompose it we get:

\(512 = 8\cdot 8\cdot 8 = (2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2)\cdot 1\)

So we found a perfect cube that has 10 factors.

This means that not all perfect cubes have exactly 4 factors.

Now, all numbers that have exactly four factors are perfect cubes?

This is also false, just let's create a counterexample.

\(1\cdot 2\cdot 3\cdot 5 = 30\)

the number 30 is not a perfect cube, and we can see that it has exactly 4 factors.

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Answer:

7/8

Step-by-step explanation:

The coefficient of x is the slope, so 7/8.

The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

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Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

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Answer:

0.92

Step-by-step explanation:

1

0.23

x. 4

———

0.92

Hope it helps