Make this equation true by rearranging the numbers.... 26=74

The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.

Given :

The two legs are of equal length In any isosceles trapezoid that means:

7y - 4 = 8y - 18

Add 18 on both sides in the above equation.

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Now, subtract 7y on both sides in the above equation.

7y + 14 - 7y = 8y - 7y

Simplify the above expression in order to get the value of 'y'.

y = 14

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Answer:

45% of 40 is 18% of 100

Step-by-step explanation:

45% of 40 is 18% of what number

First we find out what is 45% of number 40

45% times 40

[tex]\frac{45}{100} * 40= 18[/tex]

Now we find

18 = 18% of what number

Let the unknown number be x

18 = 18% * x

[tex]18= \frac{18}{100} * x[/tex]

18 = 0.18 * x

Divide by 0.18 on both sides

100= x

So 45% of 40 is 18% of 100

The complete statement is 45% of 40 is 18% of 100

From the question, we have the following parameters that can be used in our computation:

45% of 40 is 18% of what number

Represent the number with x

So, we have

45% of 40 is 18% of x

Express as an equation

45% of 40 = 18% of x

Next, we have

18 = 0.18x

Divide through by 0.18

x = 100

Hence, 45% of 40 is 18% of 100

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Answer: the answer is B

Step-by-step explanation:

The equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a small toy car costs $3. A large toy car costs 5 times as much as the small one.

The equation can be written as:-

a = $3 + ( 5 x $3 )

Therefore, the equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.

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Answer:

C. Yes, the number is written in scientific notation.

Step-by-step explanation:

We have been given a number [tex]5.6\times 10^{12}[/tex]. We are asked to determine whether our given number is written in scientific notation or not.

We know that when a number greater than 1 and less than 10 is multiplied by a power of 10, then the number is written in scientific notation.

Upon looking at our given number we can see the number 5.6 is between 1 and 10. In addition, 5.6 is being multiplied by 10 to the power 12.

Therefore, our given number is written in scientific notation and option C is the correct choice..

Final answer:

The inverse of the formula A = πr^2 is found by dividing the area A by π and then taking the square root of the resulting quotient, which gives r = √(A/π). The accuracy of this inverse is limited by the number of significant figures in the original measurement of the radius.

Explanation:

To find the inverse of the formula A = πr^2 for the area of a circle, we want to solve for the radius r in terms of A. We follow these steps:

Starting with A = πr^2, divide both sides of the equation by π to isolate r^2: A/π = r^2.

Take the square root of both sides of the equation to solve for r: r = √(A/π).

The inverse is therefore r = √(A/π).

When using a calculator, it is important to remember that the number of significant figures in a given measurement limits the accuracy of the calculations. As shown in the example, if the radius has two significant figures, the calculated area has to be limited to two significant figures as well, thus A=4.5 m².

Answer:

The grasshopper needs to eat 10 blades of grass each day.

Step-by-step explanation:

The grasshopper in the food pyramid above must eat half its body weight in grass each day.

The average weight of the grasshopper is 2 grams.

The weight of one blade of grass is 0.1 grams.

Now,

The weight of grass eating by the grasshopper per day is 1 gram.

Let us assume that the grasshopper eats the "n" number of blades of the grass.

Therefore,

[tex]\begin{aligned}n \times 0.1\;\rm{gm}&=1\;\rm{gm}\\n&=\dfrac{1}{0.1}\\n&=10\end{aligned}[/tex]

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0.025 milliliters is equal to 0.025 cubic centimeters and 0.000025 liters. The conversion is based on the fact that 1 milliliter is equivalent to 1 cubic centimeter, and there are 1000 milliliters in 1 liter.

To convert 0.025 milliliters to cubic centimeters (cm³) and liters (L), we need to understand the relationships between these units.

Cubic Centimeters (cm³):

Since 1 milliliter is equivalent to 1 cubic centimeter, 0.025 milliliters is equal to 0.025 cubic centimeters.

Liters (L):

There are 1000 milliliters in 1 liter. Therefore, to convert milliliters to liters, we divide the volume in milliliters by 1000.

0.025 milliliters ÷ 1000 = 0.000025 liters.

In summary, 0.025 milliliters is equivalent to 0.025 cubic centimeters and 0.000025 liters.

The question probable may be:

What would be the value of 0.025 milliliters in cm^3 and also in L.

0.025 milliliters is equivalent to 0.025 cubic centimeters because 1 milliliter equals 1 cubic centimeter. Also, 0.025 milliliters is equal to 0.000025 liters as there are 1,000 milliliters in a liter.

The student's question is: 0.025 milliliters is the same as how many cubic centimeters (cm3) and liters (L). This is a conversion problem involving units of volume. From the provided information, we understand that 1 milliliter (mL) is exactly equal to 1 cubic centimeter (cm3). Therefore, if the student has 0.025 mL, this is directly equivalent to 0.025 cm3 because the conversion factor between mL and cm3 is 1.

Furthermore, recalling that 1 liter is equal to 1,000 milliliters, and since we are given a volume in milliliters, we can convert this to liters by dividing by 1,000. Consequently, 0.025 mL is equal to 0.025 / 1,000 L, which simplifies to 0.000025 L.

Answer: -7/5

Substitute the value of the variable into the expression and simplify.

Exact Form:  −7/6

Answer:

The center of circle is [tex](0,0)[/tex]

Step-by-step explanation:

We need to find the center of the circle of the equation [tex]x^{2}+y^{2}=4[/tex]

Since, the general equation of circle is [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is [tex]x^{2}+y^{2}=4[/tex] as,

[tex]x^{2}+y^{2}=2^{2}[/tex]

Compare [tex]x^{2}+y^{2}=2^{2}[/tex] with [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

so, [tex](x-0)^{2}+(y-0)^{2} = 2^{2}[/tex]

Hence, the center of circle is [tex](0,0)[/tex]

Answer:

D. The manager should check both relative frequencies by row and by column to look for an association.

Step-by-step explanation:

the correct answer would be D

Answer:

The range of the function is (-∞,3)

B is correct.

Step-by-step explanation:

Given: [tex]f(x)=-2(6)^x+3[/tex]

It is an exponential function which coefficient is negative.

Exponential function: [tex]f(x)=ab^x+c[/tex]

If a>0 then range (c,∞)

If a<0 then range (-∞,c)

[tex]-2(6)^x+3\rightarrow ab^x+c[/tex]

[tex]a=-2[/tex]

[tex]c=3[/tex]

Range: (-∞,3)

Hence, The range of the function is (-∞,3)

The function rule is  y = -5x - 1 , obtained by observing the linear relationship where  y  decreases by 5 as  x increases by 1.

To find the function rule that relates the values of  x  to  y , let's first observe the pattern in the given data:

[tex]x & y \\-2 & 9 \\-1 & 4 \\0 & -1 \\1 & -6 \\2 & -11 \\[/tex]

Notice that as  x  increases by 1,  y  decreases by 5. This suggests a linear relationship between  x and  y , where the slope of the line is -5.

The general form of a linear function is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

To find the y-intercept, let's pick any point from the table, for example, when ( x = 0 ), ( y = -1 ).

So, we can plug the values of ( x ) and ( y ) into the linear function formula:

[tex]\[-1 = (-5)(0) + b\][/tex]

[tex]\[-1 = 0 + b\][/tex]

[tex]\[b = -1\][/tex]

Now we have the slope (( m = -5 )) and the y-intercept (( b = -1 )), so the function rule is:

[tex]\[ y = -5x - 1 \][/tex]

Now, let's verify this function rule with another point from the table, for example, when ( x = 2 ):

[tex]\[ y = -5(2) - 1 \][/tex]

[tex]\[ y = -10 - 1 \][/tex]

[tex]\[ y = -11 \][/tex]

This matches the value of ( y ) in the table, confirming that our function rule is correct.

Answer:

$3.50 per hour

Step-by-step explanation:

Given : For working 13 hours you earned $45.50 and $94.50 for 27 hours

To Find :What is your rate of pay in dollars per hour?

Solution :

Pay for 13 hours =  $45.50

So, Pay for 1 hour =  [tex]\frac{45.50}{13}[/tex]

Pay for 1 hour =  [tex]3.50[/tex]

So, rate is $3.50 per hour

So, Option B is true

Hence rate of pay in dollars per hour is $3.50 per hour