Aloysius and Benjamin have $150 altogether. Aloysius' mother gives him another $40 and Benjamin spends $ 10 on a book. Benjamin then has $10 more than Aloysius . How much money does each of them have at first?

the equation is y=2x+30

Answer:

9.92

Step-by-step explanation:

1.72/0.86=x/4.96

.86x=8.5312

x=992

Answer:

21, 30,23, 20

Step-by-step explanation:

Answer:2,4,3,6

Step-by-step explanation:

On edg :D

Answer:

Theoretical probability is based upon what is expected when rolling two dice, as seen in the "sum" table at the right. The theoretical probability of rolling an 8 is 5 times out of 36 rolls. The theoretical probability = 5/36 ≈ 13.9%. 3) The experiment rolled more 8's than would be expected theoretically.

Step-by-step explanation:

The theoretical probability of not rolling a 2 is 5/6.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Assuming a fair six-sided die, the probability of rolling a 2 is 1/6.

Therefore, the probability of not rolling a 2 on a single roll of the die is:

P(not rolling a 2) = 1 - P(rolling a 2) = 1 - 1/6 = 5/6

Thus,

The theoretical probability of not rolling a 2 is 5/6.

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Step-by-step explanation:

An explanatory variable is a type of independent variable. The two terms are often used interchangeably. But there is a subtle difference between the two. When a variable is independent, it is not affected at all by any other variables. When a variable isn’t independent for certain, it’s an explanatory variable.

Let’s say you had two variables to explain weight gain: fast food and soda. Although you might think that eating fast food intake and drinking soda are independent of each other, they aren’t really. That’s because fast food places encourage you to buy a soda with your meal. And if you stop somewhere to buy a soda, there’s often a lot of fast food options like nachos or hot dogs. Although these variables aren’t completely independent of each other, they do have an effect on weight gain. They are called explanatory variables because they may offer some explanation for the weight gain.

The line between independent variables and explanatory variables is usually so unimportant that no one ever bothers. That’s unless you’re doing some advanced research involving lots of variables that can interact with each other. It can be very important in clinical research. For most cases, especially in statistics, the two terms are basically the same.

An explanatory variable is an independent variable.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

A variable is an explanatory variable.

A researcher-manipulated variable is an explanatory variable when it comes to an experiment.

It serves as a measurement of the change brought about in the response variable.

A predictor variable or an independent variable are terms that are frequently used to describe an explanatory variable.

Therefore, an explanatory variable is an independent variable.

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Answer:

x=26

Step-by-step explanation:

3x +12 =90

subtract 12 from each side

3x=78

divide 3 from each side

x=26

Answer:

x = 26

Step-by-step explanation:

Before we begin, we must first remember that to solve for x, we have to get the variable (x) by itself.

To start, you would first subtract 12 from the left and right side of the equation.

3x + 12 - (12) = 90 - (12)

The 12 would cancel out on the left side (12 - 12 = 0) and you would now be left with 3x = 78.

Next, you would divide the left and ride side by 3.

3x ÷ 3 = 78 ÷ 3

This gives you the answer of 1x = 26 or x = 26

Answer:

-25,  -23.1,   3,   12,   13

Answer:

-25, -23.1, 3, 12, 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

837 are females as 52.5 percent of 1800 equals 837.

Answer:

Females = 100 - percent of males = 100 - 53.5 = 46.5%

Number of females = 46.5/100 × 1800 = 837

Answer:

75:25:100

Step-by-step explanation:

Answer: 88 square inches

If we want to wrap the box, we need to work out its surface area - the area that will need to be covered by the giftwrap.

This box is a cuboid, so there will be six faces, with only three different areas (each face has an identical pair).

Let's say the height is 2 in, the length is 6 in and the depth 4 in.

height = 2

length = 6

depth = 4

Let's find the area of the faces that measure height x length:

2 x 6 = 12 square in

Now let's do the same thing for height x depth:

2 x 4 = 8 square in

And finally for length x depth:

6 x 4 = 24

There are two of each of these faces, so let's multiply each result by two.

12 x 2 = 24

8 x 2 = 16

24 x 2 = 48

Finally, all that's left to do is add these numbers together to find the total surface area of the cuboid.

24 + 16 + 48 = 

88 square inches

Answer:

88 square inch

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Answer:

A rational number can be written as the ratio of two integers.

Step-by-step explanation:

Fractions (1/2), whole numbers (7 7/1), terminating decimals (2.33) repeating decimals (.222 repeating) square root of a perfect square (V-25 = 5/1) Integers (1 -2)

Answer:

c

Step-by-step explanation:

Answer:

[tex]9 \frac{1}{3} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 2 \times 2 \times \frac{7}{3} \\ = 4 \times \frac{7}{ 3} \\ = \frac{28}{3} {cm}^{3} = 9 \frac{1}{3} {cm}^{3} [/tex]

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Answer:

the answer is attached to the picture

Answer:

7(2a +7)

Step-by-step explanation:

[tex]14a+49\\=7\times 2a+7\times 7\\= 7(2a +7)[/tex]

Answer:

See Explanation

Step-by-step explanation:

The text of the question is incomplete. However, the likely question that can be asked may imply that; "what number of corn package did she use?"

Given that

1 package of corn = 8 cups

1 serving = 1 cup

Total individual = 11

Servings per individual = 2

If there are 2 servings per individual then 1 package of corn will serve the following number of people.

1 package of corn = 8 / 2 individuals

1 package of corn = 4 individuals

Divide both sides by 4.

1 package of corn / 4 = 4 individuals / 4

¼ package of corn = 1 individual.

Re-arrange

1 individual = ¼ package of corn.

So, this means that 11 individuals will get;

[Multiply both sides by 11]

11 * 1 individual = ¼ * 11 package of corn

11 individuals = 11/4 package of corn

11 individuals = 2.75 packages of corn.

Hence, Ron will need 2.75 packages of corn for 11 individuals

Answer:

work is shown and pictured

Answer:

6-16y

Step-by-step explanation:

Multiply 2 by the numbers inside the parentheses.

Answer:

192 in³

Step-by-step explanation:

A trapezoidal prism is a three dimensional solid that has two similar trapezoids at its top and base.The two similar trapezoids are connected by four rectangles connecting the corresponding sides of the two bases.

The Area of the trapezoid at the top or base = 1/2 (a + b)h

Where a and b are the lengths =  7 inches and 5 inches and the height (h) = 4 inches.

Therefore Area of the trapezoid at the top or base = 1/2 (a + b)h = 1/2(7 + 5)4 = 24 in²

The volume of gift box = Area of the trapezoid at the top or base × height of gift box = 24 × 8 = 192 in³

Answer: 42/11 = 21/5.5

Step-by-step explanation:

1) Since the hypotenuse is 42 for one of the triangles it must be similar to the other triangles hypotenuse, 11.

2) Therefore, the ratio is 42/11.

3)The adjacent sides to the right angle are 21 and 5.5.

4)Therefore, the ratio is 21/5.5

Answer:

Rotational line symmetry  &  Vertical line symmetry

Hope its correct

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Answer:

All 4 answers are correct. Squares have horizontal line symmetry,  vertical line symmetry , diagonal line symmetry , and rotational symmetry.

Step-by-step explanation:

Answer:

x = -67

Step-by-step explanation:

-83 = -16 + x,

Add 16 to each side

-83+16 = -16+16 + x

-67 =x

Answer:

[tex]x = - 67[/tex]

Step-by-step explanation:

[tex] - 83 = - 16 + x \\ - 83 + 16 = x \\ [/tex]

[tex]x = - 67[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Step-by-step explanation:

Step 1:  Find the solution for the first one

[tex]4x > -36[/tex]

[tex]4x / 4 > -36 / 4[/tex]

[tex]x > -9[/tex] ← Solution

Step 2:  Find the solution for the second one

[tex]7u\le-49[/tex]

[tex]7y/7\le-49/7[/tex]

[tex]y \le -7[/tex] ← Solution

Step 3:  Find the solution for the third one

[tex]-5m \ge 15[/tex]

[tex]-5m / -5 \ge 15 / -5[/tex]

[tex]m \le -3[/tex] ← Solution

Step 4:  Find the solution for the fourth one

[tex]-2p > -3[/tex]

[tex]-2p / -2 > -3 / -2[/tex]

[tex]p < 1.5[/tex] ← Solution

Step 5:  Find the solution for the fifth one

[tex]45 \le - 10r[/tex]

[tex]45 / -10 \le -10r / -10[/tex]

[tex]-4.5 \ge r[/tex] ← Solution

Step 6:  Find the solution for the sixth one

[tex]-66 \ge -11t[/tex]

[tex]-66 / -11 \ge -11t / -11[/tex]

[tex]6 \le t[/tex] ← Solution

Answer:

Hey hyd ?

Step-by-step explanation:

Answer:

A) Up and to the right

Step-by-step explanation:

On a graph, the direction of the line with points [tex](1,7)[/tex] and [tex](10, 15)[/tex] is going up to the right.

Answer:

16 sq. in

Step-by-step explanation:

I think you are asking for the area. The rectangle to the right of the dotted line has dimensions of 4 by 3, so its area is 4 * 3 = 12. We know one of the small rectangle's dimensions, 2, but we don't know the height. However, we see that the difference between the heights of the two figures is 1, and we already know the height of the larger rectangle is 3, so the height of the smaller square is 2. This makes its area 2 * 2 = 4. The total area would then be 12 + 4 = 16 sq. inches. Hope this helps!

Answer:

the answer is -5

Step-by-step explanation:

1. identify the ordered pairs

2. write down the slope formula

3. replace the letters with their values

4. subtract

5. divide

Answer:

Volume of right rectangular prism = 3.75 in³

Step-by-step explanation:

Given:

First side of rectangular prism = 2 inches

Second side of rectangular prism = 1[tex]\frac{1}{2}[/tex] = 1.5 inches

Third side of rectangular prism = 1[tex]\frac{1}{4}[/tex] = 1.25 inches

Find:

Volume of right rectangular prism:

Computation:

[tex]Volume\ of\ right\ rectangular\ prism=lbh\\\\Volume\ of\ right\ rectangular\ prism=(2)(1.5)(1.25)\\\\ Volume\ of\ right\ rectangular\ prism= 3.75 in^3[/tex]

Answer: 4 3/8

Step-by-step explanation:

If he walks 7/8 every 1/5 of an hour, we can multiply that by 5 to get how much he travels every hour. 7/8 * 5=35/8. 35/8 simplifies to 4 3/8

Answer:

x=53

y=26

H=106

G=93

Step-by-step explanation:

By the inscribed quadrilateral conjecture:

[tex]2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93[/tex]

Hope this helps!