simplify
[tex]3 (3w - 4x) + \frac{25x - 5}{ 5 } [/tex]
​

Answer:

70°

Step-by-step explanation:

If in the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D, then

Consider triangles ABD and CBD. In these triangles,

Hence, triangles ABD and CBD are congruent by ASA postulate.

So, AD ≅ DC.

Now, consider triangle ADC. This is an isosceles triangle, because AD ≅ DC. In this triangle, m∠ADC = m∠ADB + m∠BDC = 20° + 20° = 40°. AC is the base. Angles DAC and DCA are congruent as adjacent angles to the base AC, so

m∠DAC = 1/2 (180° - 40°) = 70°

Answer:

m∠DAC = 70°

m∠ACB = 30°

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

N(- 4, 3 ) → N'(4, 3 ) → B

Answer:

B. (4, 3)

Step-by-step explanation:

Since N is four units to the left of the y-axis, reflecting it would make it four units to the right of the y-axis, so you would base this off of the y-coordinate.

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Answer:

Expression: 66(19+14)

Answer: 2178

Step-by-step explanation:

66(19+14)

66(33)

2178

Answer:

66 x 19 + 14

And because I wanna use my brain, the answer to that equation is  1268

Answer:

-2

*Remember- negative ×/÷ positive= negative. Negative ×/÷ negative=positive.

Explanation:

22÷ -11 (The parenthesis arn't really necessary)

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Answer:

[tex] \frac{3 \frac{9}{16}}{2x - 1} [/tex]

Step-by-step explanation:

Use Polynomial Long Division to get this:

[tex] \frac{x^{3}}{2} + \frac{ {x}^{2} }{4} + \frac{x}{8} - 1 \frac{7}{16} + \frac{3 \frac{9}{16}}{2x - 1} [/tex]

The remainder is the quantity being set over the divisor, which is 2x - 1.

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Answer:

(of an algebraic expression) consisting of three terms.

Example:

3x2 − 3y2 + 2

Answer:32.735 is greater

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{2q+8}{10}=10\\\\\text{We simplify the equation by getting rid of the denominator.}\\\\\bold{multiply\ both\ sides\ by\ 10}\\\\10\!\!\!\!\!\diagup^1\cdot\dfrac{2q+8}{10\!\!\!\!\!\diagup_1}=(10)(10)\\\\2q+8=100\qquad\bold{subtract\ 8\ form\ both\ sides}\\\\2q+8-8=100-8\\\\2q=92\qquad\bold{divide \both\ sides\ by\ 2}\\\\\dfrac{2q}{2}=\dfrac{92}{2}\\\\q=46[/tex]

Answer:

[tex]y - 3 = - \frac{1}{2}(x + 2)[/tex]

Explanation:

I chose the coordinate of [-2, 3], and according to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting this coordinate into the formula with their CORRECT signs:

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** It does not matter which coordinate you choose, as long as it falls on the line.

Answer:

Step-by-step explanation:

[tex]f(x) = 3(x + 3) - 3[/tex]

[tex]f(x) = 3x + 9 - 3[/tex]

[tex]f(x) = 3x + 6[/tex]

Answer:

0.071

Step-by-step explanation:

0.07131 rounded to 3 decimal places would be 0.071 (because it is the nearest number to 3 decimal places)

Step-by-step explanation:

Let the number be x

x + 3x = 92

4x = 92

x = 92/4

x = 23

The upper boundary on x is 5. Divide this over each endpoint of the y inequality

5/0.25 = 20

5/4 = 1.25

we see that the first result 20 is largest

This means that the upper bound of x/y is 20.

Therefore b = 20.

----------------------------

The lower boundary on x is -4. Divide this over each endpoint of the y inequality

-4/0.25 = -16

-4/4 = -1

The result -16 is further to the left compared to -1, so therefore it is smaller.

The lower bound of x/y is -16.

This means a = -16.

----------------------------

We found that a = -16 and b = 20. Therefore, a+b = -16+20 = 4

Answer:

x+4

Step-by-step explanation:

The square root of 15 is approximately 3.872983346. However, when rounded to the nearest hundredth, it is 3.87.

The question is asking for the square root of 15 rounded to the nearest hundredth. The square root of any number is the value that, when multiplied by itself, gives the original number. It's generally represented with the symbol √.

In the case of 15, if you type in your calculator the square root of 15, you get an answer of approximately 3.872983346. However, the student question asks for this value rounded to the nearest hundredth. Thus, you would round this to 3.87. So, the square root of 15 rounded to the nearest hundredth is 3.87.

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Final answer:

The square root of 15 is approximately 3.87 when rounded to the nearest hundredth, following the rules of rounding where you round down if the third decimal is less than 5.

Explanation:

The question asks for the square root of 15 rounded to the nearest hundredth. To find this, we calculate the square root using a calculator, which gives us an approximate value. We then apply the rules of rounding: if the digit after the hundredths place is 5 or higher, we round up, and if it is lower than 5, we round down. This ensures that our answer is as close as possible to the actual square root without exceeding two decimal places.

Performing the calculation, we find that the square root of 15 is approximately 3.87298. Since the third decimal place (after the hundredth) is '2', which is less than 5, we round down. Therefore, the square root of 15 rounded to the nearest hundredth is 3.87.

No. The inequality is false.

In the given point (9,6) the second number is the Y value.

So if you replace Y with the given Y value of 6, the inequality is now 6 > 6 which is false since, 6 is = 6.

Only the graph A represents the proportional relationship between the variables.

Given that :

For every 4 defense cards ; there are 2 offense cards :

Defense cards = y

Offense cards = x

For proportional relationship :

y α x

y = kx

k = y/x

k = constant of proportionality

k = 4/2

k = 2

y = 2x

The value of y when x = 4

The value of y when x = 4 When ; x = 4

The value of y when x = 4 When ; x = 4 y = 2×4 = 8

Only graph A gives the proportional value of y when x = 4

Hence, Graph A represents the proportional relationship between defense and offense.

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Final answer:

The correct graph would show a straight line through the origin with a slope of ½, reflecting the 2:1 ratio of defense to offense sports game cards Chad owns.

Explanation:

The subject of this question is Mathematics, and it pertains to the concept of ratios and proportional relationships, which is typically taught at the Middle School level. To determine which graph represents the proportional relationship between Chad's defense and offense sports game cards, we must consider that for every 4 defense cards, he owns 2 offense cards. This establishes a constant ratio of defense to offense cards of 2:1.

A graph that accurately represents this relationship would be a straight line through the origin (0,0) that has a slope of ½, because for every 2 units increased in the defense (x-axis), there should be a 1 unit increase in the offense (y-axis). This is because the graph of a proportional relationship is always a straight line that passes through the origin, and the slope of the line reflects the ratio of the quantities compared.

Adam drove at an average speed of 70 miles per hour.

The speed at which Adam drove can be calculated using the formula for speed: speed = distance / time. In this case, Adam drove 280 miles in 4 hours. So to calculate his average speed in hours per mile, we take the provided distance and divide it by the provided time which gives us an average speed of 70 miles per hour.

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Answer:

4/9

Step-by-step explanation:

dividing two negatives equal to a positive so -4 and -9 will be 4÷9 which is 4/9

Answer:

146 in

12ft 2in

Step-by-step explanation:

4ft 9 = 4*12+9=48+9=57

3ft 10 = 3*12+10=36+10=46

3ft 7 = 3*12+7=36+7=43

57+46+43=146

146/12 = 12ft remainder 2

12ft 2in

Answer:

B.4 Correct Answer

Step-by-step explanation:

Answer:

4 units B on Edgen

Step-by-step explanation:

Answer:

500,000

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 500,000  

+ 0  

+ 0  

+ 0  

+ 0  

+ 0  

Expanded Factors Form:

 5 × 100,000  

+ 0 × 10,000  

+ 0 × 1,000  

+ 0 × 100  

+ 0 × 10  

+ 0 × 1  

Expanded Exponential Form:

5 × 105

+ 0 × 104

+ 0 × 103

+ 0 × 102

+ 0 × 101

+ 0 × 100

Word Form:

five hundred thousand

Step-by-step explanation:

Answers above..

Answer:

Step-by-step explanation:

So first what you need to do is try subtracting 40 and 20 then multiplying 40

#1: 10x=80

#2: A test is worth 100 points. Each question, x, is worth 12a point.

#3: 2x+4=22

#4: Price of one shirt

#5: Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.

Answer:

hope this helps

Step-by-step explanation:

#1: 10x=80

#2: A test is worth 100 points. Each question, x, is worth 12a point.

#3: 2x+4=22

#4: Price of one shirt

#5: Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.

Answer:

14

Have a nice day!!!!!!!! :-)

KA

Answer:

there 14 away from each other

Step-by-step explanation:

Answer:

2. For every 3 baskets he makes, Christian misses 4 baskets.

3. For every 2 baskets he misses, Domonic makes 5 baskets.

Step-by-step explanation:

Christian 3:4 ratio

for every 3 made he misses 4

3:4 = 6:8

Dominic 5:2

for every 5 made he misses 2

5:2 = 10:4

Answer:

2/3

Step-by-step explanation:

4x+3=5+x

4x-x=5-3

3x=2

x=2/3

Answer:

B. (-2, 15)

Step-by-step explanation:

Pretend that your fixed point [2, 9] is at the origin for now by translating it two units west then nine units south [0, 0]. Now, the same goes for [6, 3]. Translate it two units west then nine units south to get [4, -6]. Then, according to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

[4, -6] → [-4, 6]

Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks north then 2 blocks east:

→ [0, 0] back to [2, 9]

Translation

→ [-4, 6] to the new coordinate of [-2, 15]

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A mouse and grass in a meadow are similar as they both play vital roles in the energy flow within a meadow ecosystem. Grass acts as a primary producer, capturing energy from the sun, while the mouse, as a herbivore, acts a primary consumer, eating the grass and moving energy up the chain.

A mouse and grass in a meadow can be seen as similar in the context of a biological ecosystem. In a meadow ecosystem, both play crucial roles.

The grass forms the primary producer layer of the food chain, as it harnesses energy from the sun to produce food via photosynthesis.

This provides the basic energy source for other members of the ecosystem. The mouse, on the other hand, is part of the primary consumer layer of the food chain.

As a herbivore, it consumes the grass for energy, thus transferring the energy obtained from the sun up the food chain. So, the similarity of the mouse and the grass in a meadow lies in their integral roles in the energy flow within an ecosystem.

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