Which pair of inequalities is shown in the graph?

Answer:

$0.19 cents

Step-by-step explanation:

First, find how many cups are in 8 quarts.

1 quart is 4 cups, so to find the number of cups, multiply 8 by 4:

8(4)

= 32 cups

Then, to find the price per cup, divide the cost by the number of cups:

6.08/32

= 0.19

So, the price per cup is $0.19 cents

Answer: \(m\angle BAM=30^{\circ}\)

Step-by-step explanation:

\(AD=x\sqrt{3}\) (Pythagorean theorem)

\(m\angle ACD=60^{\circ}\) (30-60-90 triangle)

\(m\angle MCA=30^{\circ}\) (angle subtraction)

\(m\angle MAC=30^{\circ}\) (base angles theorem)

\(m\angle CAD=30^{\circ}\) (30-60-90 triangle)

\(m\angle BAM=30^{\circ}\) (angle subtraction)

Answer:

SYSTEM 1

\(4x + 3y = 4 - - - eqn(i) \\ - 2x - 3y = - 8 - - - eqn(ii) \\ eqn(i) + eqn(ii) \\ = > 4x - 2x = 4 - 8 \\ 2x = - 4 \\ x = \frac{ - 4}{2} \\ x = - 2 \\ in \: eqn(i) \: \: 4x + 3y = 4 \\ but \: x = - 2 \\ = > 4( - 2) + 3y = 4 \\ = > - 8 + 3y = 4 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4\)

SYSTEM 2

\(3x + 2y = 7 - - - eqn(i) \\ 2x - y = 7 - - - eqn(ii) \\ multiply \: eqn(ii) \: by \: 2 \\ = > 4x - 2y = 14 - - - eqn(iii) \\ eqn(i) + eqn(iii) \\ = > 7x = 21 \\ x = \frac{21}{7} \\ x = 3 \\ in \: eqn(ii) \: 2x - y = 7 \\ but \: x = 3 \\ hence \: \: 2(3) - y = 7 \\ y = 6 - 7 \\ y = - 1\)

Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

mwahahahahah what grade you are

Step-by-step explanation:

because is this properly

Option D:

32 ÷ (–16) is equivalent to –18 ÷ (9).

Given expression:

–18 ÷ (9)

Let us first solve this expression.

                = -2  (negative by positive is negative)

To find which expression has the same value for the given expression:

Option A: –18 ÷ 2

            = –9 (negative by positive is negative)

This is not equivalent expression.

Option B: –12 ÷ (–3)

                = 4  (negative by negative is positive)

This is not equivalent expression.

Option C: –10 ÷ 5

            = –2 (negative by positive is negative)

This is not equivalent expression.

Option D: 32 ÷ (–16)

                = -2  (positive by negative is negative)

This is the equivalent expression to the given expression.

Hence ,32 ÷ (–16) is equivalent to –18 ÷ (9).

Option D is the correct answer.

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Answer:

106

Step-by-step explanation:

5 x 2 = 10

7 + 5 = 12

8 x 12 = 96

96 + 10 = 106 :)

Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

Let x and y be the two numbers. x will be the larger number and y the smaller one.

According to the given information, the difference of x and y is 4:

The sum of y and 3 times x is 36:

So the system of equations is:

Solve the system by elimination by adding these equations:

x has a value of 10. Use this value and the first equation to find y:

y has a value of 6.

It means that the 2 numbers are 10 and 6.

Answer:

You need to plot the points at (1.5, 0) and (0,-3)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 is the y intercept of this line. y intercept is the point where the line intersects with y axis.

Answer:

10 over 1

Step-by-step explanation:

Answer:

10 to 1

Step-by-step explanation:

its common sense

The perimeter of triangle ABC = 60 + 20√3  cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

In triangle ADB,

sin (30°) = AD/AB

1/2 = ( 10 √3 ) /AB

AB  = 20√3

In triangle ABC,

cos (30°) = AB/BC

√3 /2 =  20√3 / BC

BC = 40

tan (30°) = AC/AB

1/√3 =  AC/ 20√3

AC = 20

Perimeter of triangle ABC =  AB +BC  + AC

                                           = 20√3  +  40  + 20

                                           = 60 + 20√3

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As we know,

Area of parallelogram :

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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Answer: y= (2/3)x - 2

Step-by-step explanation:

The biggest way to remember equations like these is to know rise over run which means however many times it goes up until it intersects with both x and Y will be on the top of the fraction and however many times it goes to the right until it intersects with both x and y will be on the bottom of the fraction. So since it hits (0, -2) then intersects at (3,0) it will be 2/3x and the Y is where X equals zero so it would be -2. Hope that helps!

Answer:

y  =  \(\frac{2}{3}x - 2\)

Step-by-step explanation:

Step 1:

Choose two points on the graph, (x1, y1) and (x2, y2), to find the slope.

Find the ratio between change in y-values and change in x-values.

m = (y2 - y1) / (x2 - x1)

Points I picked:

(x1, y1) = (0, -2)

(x2, y2) = (3, 0)

Then,

m = (0 - (-2)) / (3 - 0)

m = 2/3

Step 2 :

Find the y-intercept from the graph. That is the point at which the line intersects the y-axis.  

The y-intercept is -2.

b  =  -2

Step 3 :

Use the slope (m) and y-intercept (b) to write the equation in slope-intercept form:

y = mx + b

Substitute m = 2/3 and b = -2

y  =  2/3 x - 2

Answer:

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Answer:

oehfinefnefikvds

Step-by-step explanation:

okokokoko

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer = x= 0

Step-by-step explanation:

Answer:(4 + 3) x 2

Step-by-step explanation:

Vesi snowboards 4 hours before lunch and 3 hours after lunch each day, so the total time she spends snowboarding each day is:

4 + 3 = 7 hours

The question is asking how many hours Vesi snowboarded in 2 days, so we need to multiply the daily total by 2:

7 x 2 = 14

Therefore, the expression that represents this real-world situation is:

B. (4 + 3) x 2 = 14.

Option A adds 2 hours which is not correct as Vesi snowboards 7 hours each day, not 2 hours. Option C multiplies and divides, which is not necessary in this case. Option D multiplies and subtracts, which is also not correct.

Answer:

49π m² or 153.94 m²

Step-by-step explanation:

Area of a circle: A = πr²

We are given r as 7, so simply plug it in

A = π(7)^2

A = 49π m²

Step-by-step explanation:

The given angles are complementary

Hence sum of these are equal to 90°

X + ( 3X - 2) = 90

X + 3X - 2 = 90

4X - 2 = 90

4X = 90 + 2

4X = 92

X = 92/4

X = 23

First angle (X) = 23

Second angle ( 3X - 2 )= 3(23) - 2

= 67

Answer:

  x = 4.1 cm

Step-by-step explanation:

The long leg of the right triangle is half the chord length, so is ...

  15.6 cm/2 = 7.8 cm

Then the leg marked x can be found from the Pythagorean theorem.

  x^2 +7.8^2 = 8.8^2

  x = √(77.44 -60.84) = √16.6 ≈ 4.1

x is about 4.1 cm.

Answer:

B. -5

Explanation:

An integer is a whole number (not a fraction) that can be positive, negative, or zero.

From the given options:

-5 is a negative number that does not have a fractional part.

Therefore, -5 is an integer.

The correct ratio to represent the ratio of cars to airplanes is 3:2

The correct ratio to represent the ratio of cars to airplanes in Alex's collection is 12:8.

To determine the ratio, we compare the number of cars to the number of airplanes. Since there are 12 model cars and 8 model airplanes, we express this ratio as 12:8.

The ratio of 12:8 can be simplified by dividing both numbers by their greatest common divisor, which is 4. Dividing 12 by 4 gives us 3, and dividing 8 by 4 gives us 2.

Therefore, the simplified ratio of cars to airplanes is 3:2.

Hence, the correct ratio to represent the ratio of cars to airplanes is 3:2.

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Answer:

the problem is 1/7x+1/8?

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today!

We can solve this problem in two steps, one is Comprehending and another is Solving. I'll start off with Comprehending.

Comprehending

We can start off by looking at the problem, it wants us to find the percentage increase from 36 to 48. We can then find difference between 48 and 36; that would be 12.

Now that we know the increase from 36 to 48 is 12. We need to find how much percent 12 is of 36.

Now that we know what we have to do, we can start solving.

Solving

We can solve the problem by setting up and equation, but we can also just use our logic in finding it out.

Since we know that we need to find how much 12 is of 36, we can just solve for that and we will get our answer.

We can do that with one step.

\(\frac{12}{36}=0.33\)

Since it is a percent, we can multiply 0.33 by 100 and we get our answer of 33%