Joseph and Sanjay are trying to finish their math homework before their favorite TV show starts. Joseph finishes 2/3 of his problems. Sanjay finishes 5 out of 7 of his problems. Who finishes a greater fraction of his problems in time?

Joseph or Sanjay?

9514 1404 393

Answer:

  20 square centimeters

Step-by-step explanation:

The area of the dilated figure is the original area multiplied by the square of the dilation factor. The center of dilation is irrelevant.

  dilated area = (1/2)² × original area

  dilated area = 1/4 × 80 cm²

  dilated area = 20 cm²

Answer:

A) 20

Step-by-step explanation:

Test 1:

90-50 = 40

Test 2:

100-40 = 60

Difference:

60-40 = 20

Answer:

50 students

Step-by-step explanation:

20 is 40% of 50

because 50 x .40 = 20

Hope this helps!

Answer:

30

Step-by-step explanation:

40%/2=20%

20/2=10

100%-40%=60%

60%/3=20%

10x3=30

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

The value of tangent of the angle θ, i.e., tan θ = 15/8.

Hence the correct option is c.

Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,

The angle θ which is between the base and the hypotenuse,

We need to find the value of tangent of the angle θ, i.e., tan θ.

To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.

The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.

To find the length of the side opposite θ, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the length of the side opposite θ:

(side opposite θ)² + (base)² = (hypotenuse)²

(side opposite θ)² + 8² = 17²

(side opposite θ)² + 64 = 289

(side opposite θ)² = 289 - 64

(side opposite θ)² = 225

side opposite θ = √225

side opposite θ = 15 units

Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:

tan θ = (side opposite θ) / (base)

tan θ = 15 / 8

Therefore, the value of tangent (tan) of the angle θ is 15/8.

Learn more about trigonometric function click;

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[1] … … 2x₁ + 0x₂ + 3x₃ = 3

[2] … … 4x₁ - 3x₂ + 7x₃ = 5

[3] … … 8x₁ - 9x₂ + 15x₃ = 10

Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :

-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10

-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10

-4x₁ - 6x₃ = -5

[4] … … 4x₁ + 6x₃ = 5

Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :

-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5

-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5

0 = -1

which is a contradiction. This means the system has no solution.

Answer:

80b-16

Step-by-step explanation:

16(5b-1)

Answer:

The answer is 7

Step-by-step explanation:

I took the test and failed it cuz I put 5. Don't listen to that other dude. So I know what I'm talking about. Just listen to me and you won't fail.

Answer:

OKay I am decent at geomentry and am in 7th grade but i can't help u if i have no clue whats ur problem? btw i suck at math in general but geomentry i can help with

Step-by-step explanation:

Answer:

the wrong one is the last one

Step-by-step explanation:

because 9 times 40 doesnt = 350 it equals 360

Answer:

First one is 0

Second one is 180

Step-by-step explanation:

0% of any number is 0 so 0% of 180 is 0

100% of any number is the number itself, so 100% of 180 is 180

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The two marked angles are a linear pair, so supplementary.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . subtract 24

  156/13 = x = 12 . . . . divide by 13

The smaller angle is ...

  3x +15 = 3(12) +15 = 51

The angle with the basement floor is 51°.

Answer:

1200

Step-by-step explanation:

Answer:

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

Step-by-step explanation:

hoped this helped

9514 1404 393

Answer:

  work shown is incorrect

Step-by-step explanation:

An equal sign is a sacred symbol. It needs to be treated with respect. The equal sign can only be used legitimately when the expression on one side is actually equal to the expression on the other side.

Here, you seem to have ...

  16 -7 = 11 . . . . . FALSE

  9 ≠ 11 . . . . . . . . why the equal sign should not be used

So, the inequality you're trying to solve depends on which of the "equal" values you intend.

7 + x < 16 - 7

Subtracting 7 from both sides gives ...

  x < 2

This graphs as an open circle at x=2 and shading of the number line to the left from there. See the attachment for the graph.

__

7 + x < 11

Subtracting 7 from both sides gives ...

  x < 4

This graphs as an open circle at x=4 and shading of the number line to the left from there. The graph is similar to the one attached, but has the point at x=4 instead of x=2.

__

Your solution

Somehow you have concluded that x < 11. If that is correct, and you want to graph that, you need to draw an open circle at x=11 (not x=12), and shade the number line to the left from that point. A solid dot at x=12 and a line left of that does not represent the inequality x < 11.

A solid dot is used only for the "or equal to" case. You have graphed x ≤ 12.

Answer:

2/3 I think, If not please tell me !

Answer:

They will each get 1/6 of the sub, but 1/3 of the half sub.

Step-by-step explanation:

Answer:  2/8  

Step-by-step explanation: becau

Here, we have to write a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex].

Multiply 2 with the numerator and the denominator of the fraction.

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 1 \times 2}{ 4 \times 2} } [/tex]

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 2}{ 8} } [/tex]

So, a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex] is [tex]\sf \red{ \dfrac{2}{8}} [/tex].

Similarly, we can multiply with another numbers (ex : 3,4,5,6) with numerator and the denominator of the given fraction to find the fractions equivalent to the given fraction.

Answer:

Step-by-step explanation:

multiply length x width times hight

Answer:

Amount of selling cost = $228

Step-by-step explanation:

Given:

Amount of cost to store = $152

Mark up = 50%

Find:

Amount of selling cost

Computation:

Amount of mark up = Amount of cost to store x Mark up

Amount of mark up = 152 x 50%

Amount of mark up = $76

Amount of selling cost = Amount of cost to store + Amount of mark up

Amount of selling cost = 152 + 76

Amount of selling cost = $228

Answer:

x = 65° + 60° = 125°

Answer:

Sorry if I got it wrong.

Step-by-step explanation:

You add them together then devide by 3 so 333.333333333 squar feet per gallon so the art room is 400 so I would say about 1.5 or close to that

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

apple presents stop motion studios?

Answer:

I believe the answer is=2x2+342.

Answer:

B or C

Step-by-step explanation:

Because there is a 50% chance on landing on a odd number 2 or a even number 2.

Hope this helps bye

Answer:

answer is C

the slope is 3 and the intercept is (0,2) which is 2

Answer:

a = 0, -10

Step-by-step explanation:

I think this is correct but it may not be.

Answer:

Step-by-step explanation:

a(10+a)=0 or - i cant remember which one it was but hope this helps