Sandra says that 4/7 - 1/3 = 3/4 because all you have to do is subtract the numerators and subtract the denominators. Convince Sandra that she is wrong. You may draw a rectangular fraction model to support your thinking.

Answer:

  B.  138.7

Step-by-step explanation:

Put the given number where the variable is and do the arithmetic.

  h(x) = 5.7 -19x

  h(-7) = 5.7 -19(-7) = 5.7 +133 = 138.7

The answer is down below hopes this helps have a great day!!!

Answer:

b. (-1, 1.5)

d. (0,3)

Step-by-step explanation:

we have

[tex]4y-6x=12[/tex]

we know that

If a ordered pair is on the graph of the linear equation, the the ordered pair must satisfy the linear equation

Verify each case

case a) we have

(-4,3)

substitute the value of x and the value of y in the equation

[tex]4(3)-6(-4)=12[/tex]

[tex]36=12[/tex] ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not on the graph of the linear equation

case b) we have

(-1,1.5)

substitute the value of x and the value of y in the equation

[tex]4(1.5)-6(-1)=12[/tex]

[tex]12=12[/tex] ----> is true

The ordered pair satisfy the equation

therefore

The ordered pair is  on the graph of the linear equation

case c) we have

(0,-2)

substitute the value of x and the value of y in the equation

[tex]4(-2)-6(0)=12[/tex]

[tex]-8=12[/tex] ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not on the graph of the linear equation

case d) we have

(0,3)

substitute the value of x and the value of y in the equation

[tex]4(3)-6(0)=12[/tex]

[tex]12=12[/tex] ----> is true

The ordered pair  satisfy the equation

therefore

The ordered pair is on the graph of the linear equation

case e) we have

(3,4)

substitute the value of x and the value of y in the equation

[tex]4(4)-6(3)=12[/tex]

[tex]-6=12[/tex] ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not on the graph of the linear equation

case f) we have

(6,4)

substitute the value of x and the value of y in the equation

[tex]4(4)-6(6)=12[/tex]

[tex]-12=12[/tex] ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not on the graph of the linear equation

The only points that a valid points on the graph of 4y - 6x = 12 are;

Option A; (-4,-3)

Option B; (-1, 1.5)

Option D; (0,3)

We are given the equation;

4y - 6x = 12

Let us make y the subject to get;

4y = 12 + 6x

y = (12 + 6x)/4

y = 3 + ³/₂x

Option A; at (-4, -3), let us put -4 for x to see if we will get y as -3;

y = 3 + ³/₂(-4)

y = 3 - 6

y = -3

Thus, (-4, -3) is a valid point

Option B; at (-1, 1.5)

y = 3 + ³/₂(-1)

y = 3 - 1.5

y = 1.5

Thus, (-1, 1.5) is a valid point

Option C; at (0, -2)

y = 3 + ³/₂(0)

y = 3

Thus, (0, -2) is not a valid point

Option D; at (0, 3)

y = 3 + ³/₂(0)

y = 3

Thus, (0, 3) is a valid point

Option E; At (3, 4)

y = 3 + ³/₂(3)

y = 3 + 4.5

y = 7.5

Thus; (3, 4) is not a valid point

Option F; At (6, 4)

y = 3 + ³/₂(6)

y = 3 + 9

y = 12

Thus, (6, 4) is not a valid point

In conclusion the only valid points are; (-4, -3), (-1, 1.5), (0, 3)

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Answer:

The proportional relationships are used by showing ratios that can be simplified into 2:3.

Answer:

hbd

Step-by-step explanation:

fcvhk;mlsdhijksnmc3w

Hey!

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Solution and Answer:

Amy swam 30 laps in 20 minutes.

Rate = [tex]\frac{20 minutes}{30 laps} = \frac{2 minutes}{3 laps}[/tex]

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Hope This Helped!

Answer:

It is A

Explanation:

Two points will always be collinear, but the same can't be said for three, since in some occasions one point is outside the line.

Answer:

52:72

Explanation:

Because it's comparing the men to the TOTAL passengers. Not the women, that's trying to trick you.

Answer:

52:72

Step-by-step explanation:

because it said the male to total passengers

Answer:

t = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

Given that t varies inversely as the square root of u then the equation relating them is

t = [tex]\frac{k}{\sqrt{u} }[/tex] ← k is the constant of variation

To find k use the condition t = 3 when u = 4, thus

k = t[tex]\sqrt{u}[/tex] = 3 × [tex]\sqrt{4}[/tex] = 3 × 2 = 6

t = [tex]\frac{6}{\sqrt{u} }[/tex] ← equation of variation

When u = 49, then

t = [tex]\frac{6}{\sqrt{49} }[/tex] = [tex]\frac{6}{7}[/tex]

The value of 't' when 'u = 49' in the equation [tex]'t = k/\sqrt(u)[/tex]' is approximately '0.86'. This was calculated using the concept of inverse variation in mathematics.

The question is dealing with the concept of inverse variations in math. The given expression states that 't' varies inversely with the square root of 'u'. This can be represented mathematically as  [tex]'t = k/\sqrt(u)',[/tex] where 'k' is the constant of variation.

From the problem we know that 't = 3' when 'u = 4'. Substituting these terms in into the equation above, we can solve for 'k'. Doing this yields  [tex]'k = 3\times \sqrt(4) = 6.'[/tex]

Now that we have found 'k', we can find the value of 't' when 'u = 49'. We can do this by plugging in the known values into the equation. So [tex]'t = 6/\sqrt(49)'.[/tex] It simplifies to 't = 6/7' or about '0.86'.

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Answer:

3.11 is infinite so we would plot that 1 tick past 3 as the graph is going in increments of .50 and the square root of 7 is 2.64 which we would round to 2.7 (i could be wrong about rounding) soo in your case i would go with 2.6  which is 1 tick past 2.5

Step-by-step explanation:

its been a long time since ive done this and im currently in pre calc 11th grade math so if i got some of the wrong im very sorry :-(

Answer:

4428

Step-by-step explanation:

3/4 is greater than 7/10.

Find the least common denominator or LCM of the two denominators:

LCM of 4 and 10 is 20

For the 1st fraction, since 4 × 5 = 20,

3 /4=  

3 × 5

4 × 5  =  

15 /20

Likewise, for the 2nd fraction, since 10 × 2 = 20,

7 /10  =  

7 × 2

10 × 2  =  

14 /20

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

15 /20  >  14 /20  or  3 /4  >  7 /10

Answer:

3/4 is larger

Step-by-step explanation:

The common denominator is 40

multiply

30/40 and 28/40

30/40 is larger, simplify 3/4 is bigger than 7/10

Answer:

k = B

px

Step-by-step explanation:

Divide both sides by px

Answer:

A

Step-by-step explanation:

Answer:

Figure 4

because they both have same sizes

The figure 4 is translation of figure 1.

Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.

The translation is a transformation in which the x and y coordinates are shifted of the object.

The only figure in which the transformation is translation of figure 1 is Figure 4.

To know more about Transformation

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Final answer:

Manuel spent 90% of his total grocery expenses on fruit. To calculate this, the amount spent on fruit ($36) is divided by the total spent ($40), and then multiplied by 100%.

Explanation:

Manuel spent a total of $40 at the grocery store and out of that, $36 was spent on fruit. To find out the percentage that he spent on fruit, you can use the formula:

Percentage = (Amount spent on fruit / Total amount spent) x 100%

Plugging in the values gives us:

Percentage = ($36 / $40) x 100% = 0.9 x 100% = 90%.

Thus, Manuel spent 90% of his total grocery expenses on fruit.

Answer:

5

Step-by-step explanation:

Each term is 1/3 of the preceding term

135 / 3 = 45

45 / 3 = 15

15 / 3 = 5

Answer:

Keep dividing the number by 3.

The next number is 5.

Step-by-step explanation:

Answer:

m=8

Step-by-step explanation:

m-7=1

+7     +7

m=8

I am sorry but I do not see the underlined digit, but I will put it this way. 7 in the thousands place is worth 7000, 2 in the hundreds place is worth 200, 7 in the tens place is worth 70, and 0 in the ones place is worth 0.

Hope this helped!

Nate

Answer:

8.5 £

Step-by-step explanation:

1.90 * 35

= 66.5 £

so,

75 - 66.5

= 8.5 £

Answer:

She lost £8.50

Step-by-step explanation:

£1.90 x 35 = £66.50 (how much she earned on Tuesday)

£75.00 - £66.50 = £8.50

To find the total height of the building, we need to calculate the sum of the heights of all the floors.

Height of the ground floor = 24 feet

Height of each floor (except ground floor) = 17 feet

Number of floors (excluding ground floor) = 7 - 1 = 6

Total height of the building = Height of the ground floor + (Height of each floor * Number of floors)

Total height of the building = 24 + (17 * 6)

Total height of the building = 24 + 102

Total height of the building = 126 feet

Therefore, the building is 126 feet tall.

Answer:

180

Step-by-step explanation:

Multiply 144 by the reciprocal of [tex]\frac{4}{5}[/tex], that is

The reciprocal of [tex]\frac{4}{5}[/tex] is [tex]\frac{1}{\frac{4}{5} }[/tex] = [tex]\frac{5}{4}[/tex], then

[tex]\frac{5}{4}[/tex] × 144 = [tex]\frac{5(144)}{4}[/tex] = 180

The answer is D, 26. [tex]3\pi^2[/tex] is about 26.6!

Final answer:

The number that is between 21 and 3π/2 is 5.

Explanation:

To find the number that is between 21 and 3π/2, we need to determine the value of 3π/2 first. Since π is approximately 3.14, 3π/2 is approximately (3)(3.14)/2 = 4.71.

Now we can compare this value to 21. Since 4.71 is less than 21, we need to find a number that is greater than 4.71 but less than 21. The only option in the given choices that fits this criteria is Option C, 5.

Answer:

Each bus could pick up 49 students

Step-by-step explanation:

(449-8):9=49

Answer:

Number of students on each bus = 49

Step-by-step explanation:

On Monday, 449 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars.

Total number of students = 449.

Number of students traveled in car = 8

Number of students traveled in bus = 449 - Number of students traveled in car = 8

Number of students traveled in bus = 449 - 8 = 441

Number of buses = 9

Number of students traveled in bus = Number of buses x number of students on each bus

441 = 9 x number of students on each bus

Number of students on each bus = 49

Answer:

f(x) is greater

Step-by-step explanation:

The function that has a greater value when x = 3 is: A. f(x) is greater.

In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the xy-plane or cartesian coordinate.

Based on the information provided, we can logically deduce the following linear functions;

f(x) = 3x + 1

g(x) = 4x - 5

When x is equal to 3, we have:

f(x) = 3x + 1

f(3) = 3(3) + 1

f(3) = 10

g(x) = 4x - 5

g(3) = 4(3) - 5

g(3) = 7.

Therefore, f(x) is greater.

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Answer:7,836,664

Step-by-step explanation:I used a calculator

Answer:

Step-by-step explanation: 36,211,762

There are 3 dots in each row of Fritz's array. This conclusion is reached by dividing the total number of dots (15) by the number of rows (5). This is an exercise in simple division and understanding arrays in mathematics.

The subject of this question from Fritz is Mathematics, specifically, it's about arrays and simple division.

To find out how many dots are in each row of Fritz's array, we need to use division. In this case, the total number of dots (15) would be divided by the number of rows (5).

So, we calculate: 15 ÷ 5 = 3.

So, there are 3 dots in each row of Fritz's array. We know this is correct because the definition of an array in mathematics is a collection of objects or numbers arranged in rows, and each row has the same number of items.

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Answer:

yes the ratio of the area of a new rectangle is equivalent to the ratio of side lengths of a new ratio

Step-by-step explanation:

Answer:

Option C (The expression 2.35c + 1.75m represents the money earned from selling c bags of cookies and m bags of muffins).

Step-by-step explanation:

It is given that a bag of cookies is priced at $2.35 and a bag of muffin is priced at $1.75. It is also given that the student sells c bags of cookies and m bags of muffins. The total revenue earned by the student by selling c bag of cookies = $2.35 * c bags = $2.35c and the total revenue earned by the student by selling m bag of muffins = $1.75 * m bags = $1.75m. Therefore, the total revenue earned by the student by selling both cookies and muffins = 2.35c + 1.75m. This expression (2.35c + 1.75m) represents the money earned from selling c bags of cookies and m bags of muffins. Therefore, C is the correct choice!!!

Answer:

y = 4x - 8

Step-by-step explanation:

x = 1/4y + 2

-1/4y   -1/4y

-1/4y + x = 2

-x              -x

-1/4y= -x + 2

*-4        *-4

y = 4x - 8

Hey!

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Solution:

~Subtract x to both sides

x - x = 1/4y + 2 + (-x)

~Simplify

1/4y = 2 + (-x)

~Multiply 4 to both sides

1/4y * 4 = 2 + (-x) * 4

~Simplify

y = 8 - 4x

~Switch

y = 4x - 8

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Answer:

[tex]\large\boxed{y~=~4x~-~8}[/tex]

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Hope This Helped! Good Luck!

Answer:

B and D

Step-by-step explanation:

Expression B = 1/[tex]x^{-1}[/tex] = 1/ (1/x) = x

Expression D = [tex]x^{1/3}[/tex] [tex]x^{1/3}[/tex] [tex]x^{1/3}[/tex]

= [tex]x^{1/3 + 1/3 + 1/3}[/tex]

= [tex]x^{1}[/tex]

= x

as shown above the both the value of B and D are equal to x and hence the expressions are equivalent

Answer:

x=75 degrees because it is an isosceles triangle, and both 75 and x are equiangular.

Step-by-step explanation:

Check the picture below.

so we have two twin sides stemming from a common vertex, once they reach the base, they'd make up an angle, however, in an isosceles triangle, the twin sides always make twin angles at the base.