miguel is making chocolate cupcakes. The recipe that he is following uses 2/3 cup of sugar, and miguel needs to make 4 batches of cupcakes. If he only has 3 cups of sugar, can miguel still make all of the cupcakes?

4x+3y=2

4x=2-3y

x= 2/4 - 3/4 y

x= 1/2- 3/4y

(x= 0.5 - 0.75y)

[tex]\boxed{ \ \sf x=\dfrac{2-3y}{4} \ }[/tex]

[Given]

[tex]\sf \rightarrow 4x + 3y =2[/tex]

[Exchange Sides]

[tex]\sf \rightarrow 4x =2-3y[/tex]

[Divide both sides by 4]

[tex]\sf \rightarrow \dfrac{4x}{4} =\dfrac{2-3y}{4}[/tex]

[Simplify]

[tex]\sf \rightarrow x=\dfrac{2-3y}{4}[/tex]

Answer:

9360

Step-by-step explanation:

2/5 is 40%

40% of 23400 is 9360

Pedro's total distance moved is 7.5 kilometers

The given parameters are:

The total distance is the sum of the above distances i.e.

Total = 1.2 km + 1.5 km + 2 km + 2.8 km

Evaluate

Total = 7.5 km

Hence, Pedro's total distance moved is 7.5 kilometers

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Answer:

3xy+5z

Step-by-step explanation:

5(xy+z)-2xy

=5xy+5z-2xy

3xy+5z

Answer:

3x

Step-by-step explanation:

f(x) = x/3

let , y=f(x)

or y=x/3

inter changing x and y, we get,

x=y/3

or, 3x=y. ( cross multiplication)

therefore f-1(x) 3x

For part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

5)

Total value = 20×30 + 18×40 + 35×15 = $1845

6)

Net worth = (3500 + 300 + 600) - (1000+200) = $3200

7)

Total debt value = 2000+3200 = $5200

Total assets value = 10000+1300+700 = $12000

Debt to assets value = 5200/12000 = 0.433

Similarly, we can find any debt to assets value by using the formula:

Debt to assets value = Total debt/Total assets

Thus, for part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.

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Answer:

x = 61°

Step-by-step explanation:

(2x + 3)°+ (x - 6)° = 180°

2x + x + 3 - 6 = 180°

3x - 3 = 180°

3x = 180° + 3

3x = 183°

x = 183°/3

x = 61°

Answer:

Step-by-step explanation:

4(2x + 6) = 8x + 24

8x + 24 = 8x + 24

infinite many solutions

Answer:

See below ~

Step-by-step explanation:

Q3

Q4

#3

Simiilary

#4

And

Answer:

Step-by-step explanation:

A={1,2,3}

n(A)=3

B={5,6}

n(B)=2

Answer:

I'm pretty sure it is d

Step-by-step explanation:

me and my sister have the same allergies but we take different allergy medicine because it affects us differently meaning that not everyone has the same reaction to all medicines

The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect because one group only received a placebo accurately describes the benefit of comparison in the experiment shown in the design web.  Thus option A is correct.

A scientific experiment inside which you carry out a sequence of tasks and closely monitor their results to discover new information. An investigation is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that hasn't been tried before.

Although one sample only obtained a placebo inside the investigation depicted in the design web, it is difficult to compare the severity of allergic rhinitis in both groups to establish whether the drug had a substantial impact. This appropriately illustrates the advantage of comparison. Therefore, option A is the correct option.

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Answer:

3(x -25)

Step-by-step explanation:

common factor is 3,

75 / 3 = 25

3x / 3 = x

Answer:

3(x-25)

Step-by-step explanation:

The common factor is three

divide both terms by three

3x/3 = x

-75/3 = -25

put them back together with the three outside of the parentheses

3(x-25)

Answer:

32

Step-by-step explanation:

4 ÷ 1/8

make 4 into a fraction

4/1 ÷ 1/8

when dividing a fraction you change the divide into multiply and you flip the second fraction:

4/1 × 8/1 = 32

Answer:

32

Step-by-step explanation:

1/8 = 1 / 8 = 0.125        4 / 0.125 = 32

mad skillz gl cheating on your I-ready test

The height of the ladder far up the wall to the nearest hundredth is 7.52 foot.

A right angle triangle is formed.

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

The length of the ladder is the hypotenuse side of the triangle formed.

Therefore,

sin 70 = opposite / 8

cross multiply

opposite = 8 sin 70

opposite side = 8 × 0.93969262078

opposite side = 7.51754096629

opposite side = 7.52

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Answer:

answer = 12

Step-by-step explanation:

Let the smallest number be x

So

X+(x+2)+(x+4)+(x+6)=60

4x+12=60

4x=48

X=12

Answer:

  (E) 90°

Step-by-step explanation:

The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle.

Any angle of a rectangle is 90°.

_____

Adjacent angles of a parallelogram are supplementary. If the diagonals are the same length, the triangles formed by either diagonal are congruent with the triangles formed by the other diagonal. This means adjacent angles are congruent. Congruent supplementary angles are 90°.

Answer:

16mm

Step-by-step explanation:

that's because volume is lwh ( length X width X height)

Answer:

Option 2

Step-by-step explanation:

Evaluating the options :

Option 1

Option 2

Option 2 is the right answer.

Using it's concept, it is found that there is a 0.3 = 30% experimental probability of drawing green color.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that 15 out of 12 + 10 + 15 + 13 = 50 trials resulted in a green marble, hence the probability is given by:

p = 15/50 = 0.3.

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The population of the country by an exponential function which is used to describe the population of a country in millions t years after the 2003 is, 645.4.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The population model, which describes the population of a country in millions t years after the 2003 is,

[tex]A=645.4 e^{0.001t}[/tex]

For the year 2003 the value of t will be 0 as no year is passed after 20036. Thus,

[tex]A=645.4 e^{0.001\times0}\\A=645.4 e^{0}\\A=645.4(1)\\A=645.4[/tex]

Thus, the population of the country by an exponential function which is used to describe the population of a country in millions t years after the 2003 is, 645.4.

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Answer:

Step-by-step explanation:

Finding the hypotenuse of the triangular side :

Finding Surface Area :

Finding Volume :

The linear inequality is represented by the graph will be, y > 3x + 2. Option B is correct.

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

The line is passes through the following points;

(x₁,y₁) to (x₂,y₂)

(-3,-7) to (0,2)

The equation is found as;

[tex]\rm y-y_1 = \frac{y_2-y_1}{x_2-x_1 } (x-x_1)\\\\\ \rm y-(-7) = \frac{(2-(-7))}{(0-(-3))} (x-(-3))\\\\ y+7 =\frac{9}{3} (x+3)\\\\ y+7 = 3x+9 \\\\ y=3x+2[/tex]

The graph because the shading is above the line and does not include the line.

The linear inequality is represented by the graph will be, y > 3x + 2

Hence, option B is correct.

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Answer:

Substitution

Step-by-step explanation:

In your premises, the state AB = BC is given to be true. In math, substitution is taking one value in an equation and "subbing it out for" one that we know has the same value. This means anywhere we see AB, we can substitute BC and the equation will still be true, because AB = BC.

In the example given, that changes AB + BC = AC to AB + AB = AC.

We substituted the AB with BC, because we know that they are of the same value.

Answer:

x = 18

Step-by-step explanation:

[tex]\sf x - 3x+9= - 27[/tex]

Let's first combine like terms.

[tex] \sf - 2x+9= - 27[/tex]

Subtract 9 from both sides.

[tex]\sf - 2x= - 27 - 9[/tex]

[tex] \sf - 2x= - 36[/tex]

Divide both sides by −2.

[tex]\sf x=18[/tex]

Answer:

  11 units

Step-by-step explanation:

The height of a trapezoid is the distance between the parallel bases.

__

Here, one base lies on the horizontal line y=5, and the other lies on the horizontal line y = -6. The distance between them is ...

  5 -(-6) = 5 +6 = 11

You can also find this distance by counting the grid squares between the two parallel lines.

The height of the trapezoid is 11 units.

_____

Additional comment

The base lengths are ...

  AB = 2 -(-5) = 7

  CD = 8 -(-7) = 15

The area is 1/2(b1 +b2)h = (1/2)(7 +15)(11) = 121 square units.

Answer:

1.45

Step-by-step explanation:

weight of all books= 14×1.1= 15.4

weight of all duster=7×0.2= 1.4

weight of books and duster= 15.4+1.4=16.8

weight of the empty box = 18.25-16.8=1.45

Based on the responses, the significance level, and the p-value, we can conclude that the response proportions are not the same for the countries.

The null hypothesis is that the response proportions are the same. The alternate hypothesis is that the response proportions are not the same.

The sample size is large enough for a Chi-Square test to be used because the expected counts are all greater than 5.

Running a Chi-Square analysis shows that the P-value to be 0.000.

The P-Value is less than the significance level of 0.01 so the null hypothesis is rejected. This means that the alternate hypothesis of the response proportions not being the same is true.

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Answer:

No, because there is only one set of congruent angles.

Step-by-step explanation:

I took the instruction, and this was the right answer!

Answer:

D

Step-by-step explanation:

Of the 400 students, 120 students like to drink coffee, 80 students like to drink tea, 160 students like both and 40 students do not like any of these drinks.

Cofee: 70% of 400 = 280 students

Tea: 60% of 400 = 240 students

None: 10% of 400= 40 students

This means that 360 students like coffee, tea or both.

280 + 240 (students who drink either coffe or tea)= 520 - 360 (real number of students who like coffee or tea) = 160 (students who like both coffee and tea.

Moreover, it can be inferred 80 students like tea and 120 studetns like coffee.

Outside the sets 40 students who do not like any of the drinks.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{y - 8(y + 12) + 4}[/tex]

[tex]\huge\textbf{Solving:}[/tex]

[tex]\mathbf{y - 8(y + 12) + 4}[/tex]
[tex]\huge\textbf{DISTRIBUTE -8 WITHIN the}\\\\\\\huge\textbf{PARENTHESES:}[/tex]

[tex]\mathbf{= y - 8(y) - 8(12) + 4}[/tex]

[tex]\mathbf{= y - 8y - 96 + 4}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS:}[/tex]

[tex]\mathbf{= (y - 8y) + (-96 + 4)}[/tex]

[tex]\mathbf{= y - 8y - 96 + 4}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{ = -7y - 92}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathbf{ -7y - 92}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]