What is the value of 21 + 6² - (35 - 8) ×3? A. 90 B. 0 C. -24 D. -54

Solution:

we have given the length of the rectangular card-

[tex]x + 5 \: cm[/tex]

and, width-

[tex]7 \: cm[/tex]

now, the area of the card will be- length×width.

so, we have-

[tex](x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2} [/tex]

we also have given the length of ribbon-

[tex]7 \: cm[/tex]

and, width-

[tex]y \: cm[/tex]

so, area of the ribbon is-

length×width

[tex]7 \times y \: cm^{2} \\ 7y \: cm^{2} [/tex]

now the area of shaded gray region will be-

[tex]7x + 35 - 7y[/tex]

Hence, the required expression would the above expression.

Answer:

1,000,000= 10^6

10 times 10 is 100 (10^2)

10,000 times 10 is 100,000 (10^5)

Answer:

36º

Step-by-step explanation:

Since all the angles are in a ratio, and all angles add up to 360º, we can set up a simple equation to find the smallest angle.

2x + 5x + 6x + 7x = 360

20x = 360

x = 18

18 is NOT the answer since the smallest angle has a ratio number of 2. So we multiply 18 with 2 to get 36º.

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Answer:

36

Step-by-step explanation:

The four angles of a quadrilateral add to 360

2:5:6:7

Multiply by x

2x:5x:6x:7x

Add them together to get 360

2x+5x+6x+7x = 360

20x = 360

Divide each side by 20

20x/20 = 360/20

x =18

The smallest angle is 2x

2*18 = 36

Answer:

B. 10

Step-by-step explanation:

By the property of intersecting secants outside of a circle:

MN*MA = ML*MK

(x - 4) (x - 4 + 3) = (x - 5) (x - 5 + 6)

(x - 4) (x - 1) = (x - 5) (x + 1)

[tex] x^2 - 5x + 4= x^2 - 4x - 5[/tex]

[tex] - 5x + 4= - 4x - 5[/tex]

[tex] 5 + 4= 5x - 4x [/tex]

[tex] 9 = x [/tex]

KM = x - 5 + 6 = 9 - 5 + 6 = 10

Answer:

You can't solve for f since f is eliminated from the equation.

Step-by-step explanation:

f = d + e + f

Subtract f from both sides.

0 = d + e

You can't solve for f since f is eliminated from the equation.

Answer:

[tex]\huge\boxed{2}[/tex]

Step-by-step explanation:

Given Polynomial is:

[tex]3x^2 + 6x = 0[/tex]

Degree of polynomial is the highest power on the variable.

Here 2 is the highest power on the variable, So, it is the degree of polynomial.

Answer:

Side length of a square game board is  

11.916

inches.

Explanation:

If the area is  

142

∈

2

, as area is square of side length of a square,

Side length is  

√

142

=

11.916

inches.

Step-by-step explanation:

Answer:

13.7 inches

Step-by-step explanation

Area = base*height

(since it's a square, the lengths of all four sides of the board are equal. therefore, we can write the equation above like the following)

Area of square = side length^2

(square root both sides of the equation, and you get the following)

[tex]\sqrt{Area\\}[/tex] = side length

(now, substitute the info)

[tex]\sqrt{188\\}[/tex] = x

(solve)

x = 13.7 inches

Answer:

Vertical translation of 4 units.

Step-by-step explanation:

If you add 4 to y, you would move up 4 because the y axis is vertical.

Answer:

*See attached image for the 5 points on the graph*

Step-by-step explanation:

Step 1: Find 5 points to calculate inverse

We can use the vertex(-1,-4), 2 y-intercepts(0,-3) and (0,-5) and 2 more points (3,-2) and (3,-6)

Step 2: Find the inverse

You find the inverse when you swap the 'x' and 'y' so it would be

Vertex: (-4,-1)

y-intercept 1:(-3,0)

y-intercept 2:(-5,0)

Point 1: (-2,3)

Point 2: (-6,3)

Step 3: Graph

Graph the points on a graph and connect the points

The inverse of a graph is done by reflecting the graph across the line [tex]y = x[/tex].

See attachment for the inverse graph.

From the given graph, we have the following 5 points.

[tex](x_1,y_1) = (8,-1)[/tex]

[tex](x_2,y_2) = (3,-2)[/tex]

[tex](x_3,y_3) = (-1,-4)[/tex]

[tex](x_4,y_4) = (3,-6)[/tex]

[tex](x_5,y_5) = (8,-7)[/tex]

Reflect the above points across [tex]y = x[/tex], to get the inverse function

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (-2,3)[/tex]

[tex](x_3,y_3) = (-4,-1)[/tex]

[tex](x_4,y_4) = (-6,3)[/tex]

[tex](x_5,y_5) = (-7,8)[/tex]

The inverse graph must pass through the above points

See attachment for the inverse graph

Read more about inverse graphs at:

https://brainly.com/question/11033643

Answer:

[tex]Distance = 58\ feet[/tex]

Step-by-step explanation:

Represent the lure's difference with A and B;

[tex]A = 23\ feet[/tex]

[tex]B = 81\ feet[/tex]

Required

Determine the difference in depth between the lure's depth

The distance is calculated as follows;

[tex]Distance = B - A[/tex]

Substitute 23 feet for A and 81 feet for B

[tex]Distance = 81\ feet - 23\ feet[/tex]

[tex]Distance = 58\ feet[/tex]

Hence, the distance between both lure's is 58 feet

Answer:

y = 2x -1

Step-by-step explanation:

y = mx + b

On the y-axis which is the vertical line, it touches the line is on -1.

Therefore, -1 is the y-intercept which is b.

y = mx - 1

Now the slope since it goes up 2 and right one to reach a point again the slope is 2/1 which basically just 2.

Now y = 2x - 1

Answer: 29

Step-by-step explanation:

Given : Total people in the line = 35

Number of people behind Amy = 15

⇒Number of people in front of Amy   = Total people - (Amy and people behind Amy)

= 35-15-1

= 19

According to the question,

Number of people in front of Amy + Number of people behind Jed =24

⇒ 19 +  Number of people behind Jed =24

⇒  Number of people behind Jed =24 -19 = 5

Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)

= 35-(5+1)

= 35-6=29

Hence, there are 29 people are in front of Jed.

Answer:

2 and 1

Step-by-step explanation:

1 + 2 = 3

(1*1) + (2*2) = 5

Answer:

2 and 1

Step-by-step explanation:

just simply subtract the sum of two numbers from one of the given numbers that is 3-2=1

now simpliy take the square of 1 and 2

1+4=5

Answer:

C. 7500

Step-by-step explanation:

We must simply find out what 25% of 30,000 is.

Multiply .25 by 30,000 which equals 7,500

Answer:

7500

Step-by-step explanation:

Answer:

y=0

Step-by-step explanation:

branliest

Answer:

2. Y=O

Step-by-step explanation:

I really don't have a good explanation but that's it

Answer:  Into 6 inches

Step-by-step explanation:

In this situation, the problem will be to find the greatest common factor of 18 and 30 because that is how you could divide them.

The GCF of 18 is   1,2,3,6,9, and 18

The GCF of 30  is 1,2,3,5,6,10,15 and 30  

The greatest possible factor of both numbers is 6

Answer:

The correct option is;

A. Randomized block design

Step-by-step explanation:

A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.

In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.

I hope this helps! :)

5 is a rational number!

Pls mark as BRAINLIEST

5 is a rational number because it can be written as a fraction; [tex]\frac{5}{1}[/tex]

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer: C. 324 cm∧3

Just took quiz.

Based on the calculations, the volume of this pyramid is equal to: D. 324 cm³.

Given the following data:

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × base area × height

Next, we would find the height of this pyramid from the right-angled triangle ABC by applying Tan trigonometry formula:

Tanθ = Opp/Adj = BC/AC

Tan60 = height/6

√3 = height/6

Height = 6√3 cm.

Now, we can calculate the volume of this pyramid:

Volume = 1/3 × base area × height

Volume = 1/3 × 54√3 × 6√3

Volume = 1/3 × 972

Volume = 324 cm³.

Read more on pyramid here: brainly.com/question/16315790

#SPJ2

Answer:

1

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

According to the similarity theory of triangles

Answer:

20

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Brainliest please!!!

Answer:

There is a probability of 0 that the student plays both string and brass.

Step-by-step explanation:

Looking at the universal set, there are 40 students at this high school, 15 of which play string, 20 play brass, and 5 play neither (probably drummers).  Note how there is no intersection of A and B, which is the probability we are looking for.

Since there is no intersection in the universal set between subset A and subset B, you can say that there is a probability of 0 since there is no overlap between the two subsets.

Cheers.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Width(w) of rectangular paintball must be = 34 meters

Perimeter of atleast 140m but not more than 260 meters

Perimeter of a rectangle (p) : 2 (l + w)

P = 140

Then ;

140 = 2(l + 34)

140 = 2l + 68

140 - 68 = 2l

72 = 2l

l = 72/ 2 = 36 meters

P = 260

260 = 2(l + 34)

260 = 2l + 68

260 - 68 = 2l

192 = 2l

l = 192/ 2 = 96 meters

Hence the length must be between 36 meters and 96 meters

The interval z, for the length :

36 ≤ z ≤ 96

Answer:

3 bottles

Step-by-step explanation:

Hello!

First, we find out how many fluid ounces 25 cups of juice hold.

One cup holds 12 fluid ounces so to find 25 we do

25 * 12 = 300 fluid ounces

Next, we find out how many fluid ounces one gallon holds.

One gallon is 4 quarts.

1 quart is 32 fluid ounces so to find how many 4 holds we do

32 * 4 = 128

So one gallon holds 128 fluid ounces

To find how many we need we divide the total needed by how much one bottle holds

300/128 = 2.34

You can't buy exactly 2.34 bottles of juice so we round up to the nearest whole number we will just have extra leftover

The answer is 3 bottles

Hope this helps!

Answer:

364, 1093

Step-by-step explanation:

================================================

Work Shown:

[tex]a \bowtie b = a + \sqrt{b+\sqrt{b+\sqrt{b+...}}}\\\\7 \bowtie g = 7 + \sqrt{g+\sqrt{g+\sqrt{g+...}}} = 9\\\\\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 2[/tex]

After subtracting 7 from both sides.

Note how because we have an infinite sequence of nested radicals, we can let [tex]x = \sqrt{g+\sqrt{g+...}}[/tex] which means x is equal to 2 as well.

This lets us say

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}} = \sqrt{g+x} = x[/tex]

Solve the equation [tex]\sqrt{g+x}= x[/tex] for x to get

[tex]\sqrt{g+x} = x\\\\g+x = x^2\\\\x^2-x-g = 0\\\\x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-g)}}{2(1)}\\\\x = \frac{1\pm\sqrt{1+4g}}{2}\\\\x = \frac{1+\sqrt{1+4g}}{2} \ \text{ or } \ x = \frac{1-\sqrt{1+4g}}{2}[/tex]

Since x is positive, this means we only focus on the first equation in the last line above.

Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.

[tex]x = \frac{1+\sqrt{1+4g}}{2}\\\\2 = \frac{1+\sqrt{1+4g}}{2}\\\\4 = 1+\sqrt{1+4g}\\\\3 = \sqrt{1+4g}\\\\9 = 1+4g\\\\1+4g = 9\\\\4g = 8\\\\g = 2\\\\[/tex]

As a check, we can do the following

[tex]7 + \sqrt{2+\sqrt{2}} \approx 8.84775906502258\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2}}} \approx 8.96157056080647\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}} \approx 8.9903694533444\\\\[/tex]

we're slowly approaching 9

Answer: [tex]g = \boxed{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=2[/tex]

implies that

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=\sqrt{g+2}=2[/tex].

Squaring both sides of this new equality, we have [tex]g + 2 = 4 \implies g = \boxed{2}[/tex]

Answer:

15/16

Step-by-step explanation:

3 3/4 divided by 4 = 15/16

Answer:

3.25 miles

Step-by-step explanation:

Combine the total laps by doing 6 + 7 to get 13. Then, multiple 13 by 0.25 to get your sum of 3.25 miles.