A number decreased by 5 is less than 32

the answer is d,,,,,,,,,,,,,,,,,

Answer:

Correct option is D.

Step-by-step explanation:

Given the quadratic equation

[tex](ax+b)^2=c[/tex]

we have to define the first step in solving a quadratic equation.

To find the value of x we have make the equation linear i.e taking the square root on both sides as c is any constant.

If c is 0 the we use the zero product rule.

Hence, our first step in solving a quadratic equation of the form

[tex](ax+b)^2=c[/tex]

is to take the square root of both sides.

Correct option is D.  

Answer:

7% is the answer (hope this helps) or do you need explanations?

Step-by-step explanation:

The property being used when substituting x=4 into the expression 5x to get 5*4=20 is the Substitution Property.

When given the statement If x=4, then 5x=20, we are looking at a basic arithmetic operation, specifically multiplication. The property illustrated here is known as the Identity Property of Multiplication, which states that multiplying any number by 1 gives the number itself. However, in the context of this problem, the property being used is actually the Substitution Property, where the value of a variable (x=4) is substituted into an expression (5x) to find its value (5*4=20).

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The school will have to pay $60 for 50 dozen buttons, by using a proportional calculation based on the known cost of $18 for 15 dozen buttons.

The student's question involves calculating the cost of purchasing a larger quantity of buttons based on a known cost for a smaller quantity. To solve this, we will use proportional reasoning.

The school pays $18 for 15 dozen buttons. First, we find the cost for one dozen by dividing the total cost by the number of dozens:

$18 ÷ 15 dozen = $1.20 per dozen

Next, we calculate the cost for 50 dozen buttons by multiplying the cost per dozen by the number of dozens:

$1.20 per dozen × 50 dozen = $60

Therefore, the school will have to pay $60 for 50 dozen buttons.

Local minimums of a function are points where the function changes from decreasing to increasing. They are found at the x-coordinates where this change occurs, and their specific values are the y-coordinates of these points.

A local minimum of a function is a point where the function has lower values than at all nearby points. To find these points on a graph, look for the locations where the function goes from decreasing to increasing. These are the x-values at which the function has a local minimum. To find the actual minimum values, find the y-coordinates of these points. For example, suppose function h has local minimums at x = -2 and x = 3. The y-coordinates of these points, say, y = -5 and y = 0, respectively, would be the local minimum values of h.

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Answer:  The correct option is (B) [tex]10x=7.[/tex]

Step-by-step explanation:  The given equations are :

[tex]3x+y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

We are to select the correct result if the first equation is multiplied by 3 and then added to the second equation.

Now, multiplying equation (i) by 3, we get

[tex]3(3x+y)=3\times 3\\\\\Rightarrow 9x+3y=9~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

adding equation (iii) to equation (ii), we get

[tex](9x+3y)+(x-3y)=9+(-2)\\\\\Rightarrow 9x+3y+x-3y=9-2\\\\\Rightarrow 10x=7.[/tex]

Thus, the required result is [tex]10x=7.[/tex]

Option (B) is CORRECT.

Answer:

KMD,MDK,DKM

Step-by-step explanation:

C. The alternative form of the law of cosines

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.

Therefore; when given all the sides or edges of the triangle;

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

If two sides of a triangle are not equal,

According to Relationship between the angle and side , we know that the angle opposite the shortest side is the larger angle,

And,

The angle opposite the longest side is the shortest angle

So, First option is correct.

Answer:

First F, then D, then C

Answer:

The correct answer is A. 10

4+6+8+20+12=50

50/5 =10

Step-by-step explanation:

Answer: 8 units

Step-by-step explanation:

Given: The formula for the circumference of a circle is [tex]C=2\pi r[/tex], where r is the radius and C is the circumference.

To solve equation for r , we divide [tex]2\pi[/tex] on both sides, we get

[tex]r=\dfrac{C}{2\pi}[/tex]

Now, the circumference of the circle = [tex]16\pi \text{units.}[/tex]

Then, [tex]r=\dfrac{16\pi}{2\pi}=8\ \text{units}[/tex]

Hence, Circumference of the circle = 8 units

Answer:

Worker 1: 46 parts

Worker 2: 40 parts

Answer:

C

Step-by-step explanation:

Let the cost of a pack of gum 20 years ago = x cents

Given, present cost of a pack of gum = 75 cents

Given, present cost of a pack of gum is 3 cents less than three times what the pack costs 20 years ago.

So,

[tex]75 + 3 =3x[/tex]

[tex]75= 3x -3[/tex]

[tex]3x-3=75[/tex]

Therefore,

Equation , [tex]3x-3=75[/tex]  , can be used to find the cost of the gum 20 years ago.

Jamal's height can be converted to dekametres by dividing his height in centimeters (167 cm) by 1000, because there are 1000 centimeters in a dekametre.

To convert Jamal's height from centimeters to dekametres, we should recall that 1 dekametre equals 10 meters or 1000 centimeters. Since Jamal is 167 cm tall, we need to divide his height in centimeters by the number of centimeters in a dekametre to get his height in dekametres.

Therefore, the correct expression to find Jamal's height in dekametres is:

167 divided by 1000

This is option D: 167 / 1000.

Answer:

-4x⁴y⁶

Step-by-step explanation:

To divide -12x⁸y⁸ by 3x⁴y², we can apply the rules of division for exponents.

When dividing variables with the same base, we subtract the exponents:

x⁸ / x⁴ = x⁸-⁴ = x⁴

Similarly, y⁸ / y² = y⁸-² = y⁶

Now, let's divide the coefficients:

-12 / 3 = -4

Putting it all together, the result of dividing -12x⁸y⁸ by 3x⁴y² is:

-4x⁴y⁶