suppose a+b=2a. which one of these expressions equals b-a?
A. 2b
B. 2a
C. 0
D. a/b
E. -2b

Answer:

270 cards

Step-by-step explanation:

18 cards in 2 days means 9 cards in a day. So that means that we have to multiply 9 cards a day by the number of days, which is 30.

9 x 30 = 270

Meaning, Paige made 270 cards in 30 days.

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Measures of angles are as follows:

125°, 15°, 40°

As we know the sum of all angles in a triangle is supplementary i.e. 180°.

∠A+∠B+∠C=180°

125°+15°+40°=180°

Therefore, it is satisfying the angle sum property.

So, it can form a triangle.

Now, we will check for uniqueness.

As similar triangles need two angles to be equal by AA criteria , their sides can vary with two equal angles.

Hence, there is possibility to have many possible similar triangles with angle measures.

Therefore, Option 'D' is correct.

The required difference in the temperature between the cities of Houston and Indianapolis is 31°F.

Given that,
Wednesday's low temperature in Indianapolis with 25 degrees Fahrenheit the same day in Houston's low temperature was above 56°F at least how many degrees warmer the low temperature in Houston than the low in Indianapolis is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
The temperature of Indianapolis is 25°F.
The temperature of Houston is 56°F.
The difference in the temperature = 56°F -  25°F = 31°F

Thus, the required difference in the temperature between the cities of Houston and Indianapolis is 31°F.

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The equation that could be used to find the number of T-shirts sold is [tex]14t + 25(200-t) = 3515[/tex] and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the equation that could be used to find the number of T-shirts sold:

Step 1 - Let the total number of T-shirts be 't' and the total number of sweatshirts be 's'.

Step 2 - The linear equation that represents the total number of items is:

[tex]t + s = 200[/tex]

[tex]s = 200 - t[/tex]      --- (1)

Step 3 - The linear equation that represents the total earning is:

[tex]14t + 25s = 3515[/tex]    --- (2)

Step 4 - Now, substitute the value of 's' in the equation (2).

[tex]14t + 25(200-t) = 3515[/tex]

Therefore, the correct option is A).

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Answer:

z = 1 or z = –2

Hope this helps !

Answer:

z = 1 or z = –2

Step-by-step explanation:

Answer:

The answer would be 75

Step-by-step explanation:

125-50= 75 so that would be your answer.

Hope this helps!

The value to fill in the blank is -3.

So, -3 x -3 = 9.

We have,

To solve the equation -3 x __ = 9, we need to find the value to fill in the blank that makes the equation true.

Let's denote the value we need to find as "x".

When we multiply -3 by "x", it means we are adding -3 to itself "x" times.

So, the equation becomes -3 times "x" equals 9:

-3x = 9.

To solve for "x", we can divide both sides of the equation by -3:

-3x / -3 = 9 / -3

This simplifies to:

x = -3

Therefore,

The value to fill in the blank is -3. So, -3 x -3 = 9.

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Answer:

8q + 6 = 8*2 + 6 = 16 + 6 = 22

Answer:

The approximate population of north and South America combined is about 900 million or 13 percent of the worlds population

Step-by-step explanation:

Answer:

[tex]4\frac{2}{25}[/tex] miles per hour

Step-by-step explanation:

Sandy can jog a distance  [tex]3\frac{2}{5}[/tex] miles or  [tex]\frac{17}{5}[/tex]  in the duration =  [tex]\frac{5}{6}[/tex] hours

Since speed =  [tex]\frac{distance}{time}[/tex]

We plug in the values of distance and time in the formula of speed.

Speed = [tex]\frac{\frac{17}{5}}{\frac{5}{6}}[/tex]

           =  [tex]\frac{17}{5}[/tex] ×  [tex]\frac{6}{5}[/tex]

           =  [tex]\frac{102}{25}[/tex]

           =  [tex]4\frac{2}{25}[/tex] miles per hour

Her average speed is  [tex]4\frac{2}{25}[/tex] miles per hour.

The measure of two angles are 141° and 39°.

When the sum of two angles equals to 180°, then those angles are said to be supplements of each other and hence called supplementary angles.

Given that, An angle measures 102° less than the measure of a supplementary angle.

Let the angles be x and y, then according to question,

x+y =  180°

x-y = 102°

Solving the equation by elimination method, we get,

2x = 282°

x = 141°

Put x = 141°

141°-y = 141°

y = 39°

Hence, the asked angles are 141° and 39°

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To find the measures of the angles, set up an equation using the property that supplementary angles add to 180 degrees. Solving the equation yields one angle measuring 39 degrees and the supplementary angle measuring 141 degrees.

When dealing with angles and their measurements, it's important to remember fundamental properties, such as the fact that the sum of supplementary angles is 180 degrees. Given that an angle is 102° less than its supplementary angle, we can set up an equation to find the measure of each angle. Let's call the first angle x; therefore, the supplementary angle will be x + 102°.

Using the property that the sum of supplementary angles is 180°, we can write the equation:
x + (x + 102°) = 180°
2x + 102° = 180°
2x = 180° - 102°
2x = 78°
x = 39°
Thus, the measure of the first angle is 39° and that of the supplementary angle is 39° + 102° = 141°.

Answer:

We are asked to find all the values of x on the number line that satisfies the given quadratic equation:

[tex]x^2=64[/tex]

We know that this is a quadratic equation so the number of values that we get on the number line is maximum 2.

on taking the square root on both the side of the equation we obtain:

[tex]x=\pm 8[/tex]

Hence we get two points on the number line.

x=8   and x= -8.

These are the discrete values we did not get any interval of the solution.