If a is directly proportional to b/2 and a=1 when b=10, then what is the value of a when b=35

Answer:

Step-by-step explanation:

[tex]a = 5\\ b = 7 \\3ab = ?\\[/tex]

Plug in the given values for a and b into the equation ;

[tex]3(5)(7)\\\\= 3(35)\\\\=105[/tex]

Answer:

4x+3x= 7

7x= 7

x = 1

UV=4 is the solution

The value of UV = 4.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.

Given:

UV = 4x, VW = 3x, and UW = 7

UW= UV + VW

7 = 4x + 3x

7 = 7x

x= 7/7

x=1

Hence, UV = 4

Learn more about equation here:

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Answer:

F and H

Step-by-step explanation:

From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:

a + (-a) = 0

From the points, F is the additive inverse of H, hence:

F + H = 0

6 + (-6) = 6 - 6 = 0

Hence the two points are F ad H

Answer:

Approximately 5,250,000 kg of methane would be released.

Step-by-step explanation:

Given: 1,000 termites release approximately 500 g of methane annually

           3.5 x [tex]10^{6}[/tex] termites per hectare

Thus, population of termites inhabiting 3,000 hectares = number of termites per hectare x 3,000

= 3.5 x [tex]10^{6}[/tex] x 3,000

= 10 500 000 000

= 1.05 x [tex]10^{10}[/tex]

Since 1,000 termites release 500 g of methane, then 10 500 000 000 termites would release:

[tex]\frac{10500000000}{1000}[/tex] x 500 g

= 5250000000 g

But 1000 g = 1 kg, so that;

[tex]\frac{5250000000}{1000}[/tex]

 = 5250000 kg

Approximately, 5,250,000 kg of methane would be released by termites inhabiting 3,000 hectares of tropical rain forest.

Answer:

x = 4

Step-by-step explanation:

RT = RS + ST

RT = 36

RS + ST = 36

6x + 1  + x + 7 = 36

6x + x + 1 + 7 = 36  {Combine like terms}

7x + 8 = 36   {Subtract 8 from both sides}

7x + 8 - 8 = 36 - 8

7x = 28   {Divide both sides by 7}

7x/7 = 28/7

x = 4

Answer:

[tex]\frac{1}{5}[/tex] is the answer

Step-by-step explanation:

[tex]h(x)=\frac{x+3}{5} \\[/tex]

Substituting the -2 in place x

Therefore , h(-2) :

[tex]\frac{(-2)+3}{5} \\\frac{-2+3}{5}\\\frac{1}{5}[/tex]

Answer:

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

[tex]h(x) = \frac{ x + 3}{5} [/tex]

value of X is given to us -2

so put it in the equation.

[tex]h(x) = \frac{ - 2 + 3}{5} [/tex]

[tex]h(x) = \frac{1}{5} [/tex]

so the value of x is 1/5

Hope it helps

Answer:

No Solution or 0

Step-by-step explanation:

Combine like terms: constant numbers

Isolate x

Plug back into equation but the answers x=0 and x greater than or equal to 3/29 overlap so no solution.

Answer:

D) hand and arm extended upward ...

is your answer

d) hand and arm extended upward...

Answer:

The answer is

Step-by-step explanation:

D option.

Hope this helps....

Have a nice day!!!

Answer:

14 months

Step-by-step explanation:

Here we are interested in calculating the number of months it will take the food kitchen to exhaust the 283,482 soup cans donated to it by a school of it uses 20,000 cans of soup.

This is pretty straightforward, trust me!

What needs to be done here is to simply divide the total number of soup cans donated by the school by the number of soup cans used by the food kitchen each month.

Mathematically, that would be;

283,482/20,000

A calculator would work here? Right?

And the division equals 14.1741

And to the nearest whole number, that is 14.

And yes there would surely be some left, carried over to the 15th month, but would that sustain them for the month? No

Answer:

v = -12

Step-by-step explanation:

if you combine like terms it is

29 = = -3v - 7

so then you add 7 to both sides

-3v = 36

then you divide both by -3 and you get v = -12

Answer:

v = -12

Step-by-step explanation:

First, add like terms.

29 = -8v - 7 + 5v

29 = -3v - 7

Solve for v:

36 = -3v

-12 = v

So, v = -12

Answer:

30

Step-by-step explanation:

A player answers x correct questions and y incorrect questions for a total of 40 questions.

x + y = 40

The score is obtained by subtracting y incorrect answers from two times the x of correct answers.  The player's score is 50.

2x - y = 50

Use substitution to solve.  Rearrange the first equation so that it is equal to y.  Then, substitute the y-value into the second equation.

x + y = 40

y = 40 - x

2x - y = 50

2x - (40 - x) = 50

2x - 40 + x = 50

3x - 40 = 50

3x = 90

x = 30

Since x was made to represent correct answers, the player had 30 correct answers.

Answer:

[tex]8 - 4( - x + 5) = 8 + 4x - 20 = 4x - 12[/tex]

Step-by-step explanation:

the answer is A

Answer:

The value of the slope in this equation is 50

The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50

Step-by-step explanation:

To answer this question, we need to compare the given equation with the equation of a straight line graph.

The equation we have is;

c = 50g + 75

comparing this with the equation of a straight line, we have

y = mx + c

where m represents the slope and c is the y-intercept

So comparing both, the slope of the equation is 50.

The slope is always the co-efficient of the value on the x-axis

So what does this mean?

The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.

So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50

Answer:

16 cups

Step-by-step explanation:

Answer:

16 is the answer

Answer:

Step-by-step explanation:

It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...

  2(4x² -4x -3)

To factor this, you are looking for factors of (4)(-3) that have a sum of -4.

  -12 = 1(-12) = 2(-6) = 3(-4)

These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.

  = 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)

Of these, the factors that are on your list of choices are ...

Answer: The filled out table is shown below

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

Explanation:

We have three variables p,q, and r. So we'll have 2^3 = 8 different rows as this table indicates. The 8 rows is to ensure that we handle all possible T/F values for the three variables.

This is where things could get tricky, but I recommend listing four copies of T in the first column, and then four copies of F right below it. That takes care of column p. For column q, we'll have two copies of TTFF to get 8 values total. Then finally column r will have four copies of T,F repeated. This takes care of all possible combos to help fill out the rest of the table.

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

For the column labeled ~p, we'll basically flip everything you see in column p. If something is true, then flip it to false, or vice versa. This is the negation of p. The same will go for the ~r column as well.

For the ~p v q column, we'll do a disjunction between ~p and q. A disjunction is only false when both pieces are false; otherwise it's true. So ~p v q is only false when both ~p and q are together false. The v symbol stands for "or".

The last column is doing a conjunction between the (~p v q) column and the ~r column. A conjunction is only true when both pieces are true; otherwise it's false. It's effectively the reverse of a disjunction. The upside down v symbol stands for "and".

Again the filled out table is shown below. It might help to use a piece of paper to cover up some of the rows if things get too cluttered.

substitute [tex]-6[/tex] in the equation:

[tex]f(x)=x^{2} -4x+5,\\f(-6)=(-6)^{2} -4(-6)+5\\f(-6)=36+24+5\\f(-6)=\boxed{65}[/tex]

Answer:

-6x + 3

Step-by-step explanation:

-3(2x - 1)

We use distributive property

so we mulitply the number that is outside of the paraenthesis (-3), to the numbers on the inside (2x - 1)

-3 × 2x = -6x

-3 × -1 = 3

So we have:

-6x + 3

And we cannot combine them so that is the answer.

Hope that helped!

Answer:

find slope m

m=y2-y1/x2-x1

m=-9-(-7)/-5-(-10)

m=-9+7/-5+10

m=-2/5

y=-2/5 x+b ( find b at point (-10,-7)

-7=-2/5(-10)+b

-7=20/5+b

b=-7-4

b=-11

y=-2/5 x -11 slope intercept form

y-(-7)=-2/5(x-(-10)

y+7=-2/5(x+10) point slope form

Answer:

The combined weight of all the basket  is 9 pounds.

Step-by-step explanation:

Given that,

Weight of berries [tex]W=1\dfrac{1}{4}\ pounds[/tex]

[tex]W=\dfrac{5}{4}\ pounds[/tex]

Suppose, The weights of some of their baskets are ,

Weight of first basket with berries = 2 pound

Weight of second basket with berries = 3 pound

Weight of third basket with berries = 4 pound

Weight of fourth basket with berries = 5 pound

We need to calculate the weight of first basket

Using formula for weight

[tex]W_{b}=W_{b+be}-W_{be}[/tex]

Where, [tex]W_{b+be}[/tex] = weight of basket with berries

[tex]W_{b}[/tex] = weight of basket

[tex]W_{be}[/tex] = weight of berries

Put the value into the formula

[tex]W_{b}=2-\dfrac{5}{4}[/tex]

[tex]W_{b}=\dfrac{8-5}{4}[/tex]

[tex]W_{b}=\dfrac{3}{4}\ pounds[/tex]

Similarly,

We need to calculate the weight of second basket

Using formula for weight

[tex]W'_{b}=W_{b+be}-W_{be}[/tex]

Put the value into the formula

[tex]W'_{b}=3-\dfrac{5}{4}[/tex]

[tex]W'_{b}=\dfrac{12-5}{4}[/tex]

[tex]W'_{b}=\dfrac{7}{4}\ pounds[/tex]

We need to calculate the weight of third basket

Using formula for weight

[tex]W''_{b}=W_{b+be}-W_{be}[/tex]

Put the value into the formula

[tex]W_{b}=4-\dfrac{5}{4}[/tex]

[tex]W_{b}=\dfrac{16-5}{4}[/tex]

[tex]W_{b}=\dfrac{11}{4}\ pounds[/tex]

We need to calculate the weight of fourth basket

Using formula for weight

[tex]W_{b}=W_{b+be}-W_{be}[/tex]

Put the value into the formula

[tex]W_{b}=5-\dfrac{5}{4}[/tex]

[tex]W_{b}=\dfrac{20-5}{4}[/tex]

[tex]W_{b}=\dfrac{15}{4}\ pounds[/tex]

We need to calculate the combined weight of all the basket

On adding weight of all basket

[tex]W= W+W'+W''+W'''[/tex]

Put the value into the formula

[tex]W=\dfrac{3}{4}+\dfrac{7}{4}+\dfrac{11}{4}+\dfrac{15}{4}[/tex]

[tex]W=9\ pounds[/tex]

Hence, The combined weight of all the basket  is 9 pounds.

Answer:

There are a total of 36 flowers in the bouquet.

Step-by-step explanation:

1/5 + 3/10 = 1/2 when simplified. So half of her flowers are yellow and the other  half is red and white. Sence Lauren has 18 yellow flowers then there must be a total of 18 red and white flowers. So 18 + 18= 36.

Answer:

(4,7), (6,13), and (5,10)

Step-by-step explanation:

To determine if an ordered pair is a solution, substitute the coordinates in and check to see if they are true:

(2,2)

[tex]y=3x-5\\(2)\stackrel{?}{=}3(2)-5\\2\stackrel{?}{=}6-5\\2\neq1[/tex]

Thus, (2,2) is not a solution.

(4,7)

[tex]y=3x-5\\(7)\stackrel{?}{=}3(4)-5\\7\stackrel{?}{=}12-5\\7\stackrel{\checkmark}{=}7[/tex]

Thus, (4,7) is a solution.

(6,13)

[tex]y=3x-5\\(13)\stackrel{?}{=}3(6)-5\\13\stackrel{?}{=}18-5\\13\stackrel{\checkmark}{=}13[/tex]

Thus, (6,13) is also a solution.

Lastly, (5,10)

[tex]y=3x-5\\10\stackrel{?}{=}3(5)-5\\10\stackrel{?}{=}15-5\\10\stackrel{\checkmark}{=}10[/tex]

Thus, (5,10) is also a solution.

Answer:

Solving for 2x - 3 = -x + 3

Standard form:

3x − 6 = 0

Factorization:

3(x − 2) = 0

Solutions:

x = 6      

3

= 2

Step-by-step explanation: Think my Answer is Wrong or Right? Let me know!

Answer:

x = 6

Step-by-step explanation:

We know:

2x - 3 = x +3

Rearrange the equation:

2x - x = 3 + 3

Combine like terms:

1x = 6

Divide:

x = 6

Answer:

mutiplying it

Step-by-step explanation:

it is multiplying it because 2×2=4

Answer:

multiplying the answer

Answer:

The answer is

Step-by-step explanation:

4(2x-1) - 3(x+5)

Expand the terms in the bracket

That's

8x - 4 - 3x - 15

Group like terms

We have

8x - 3x - 4 - 15

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

3x + y = 6

4x + 2y = 8

-6x - 2y = -12

4x + 2y = 8

-2x = - 4

x = 2

3(2) + y = 6

6 + y = 6

y = 0

(2,0)

Answer:10.4

Step-by-step explanation:

There are a lot of information's that are already given in the question. Based on these information's the answer can be deduced.

1 mile = 1609 meters

Then

70 miles = 1609 * 70 meters

              = 112630 meters

again

1 hour = 3600 seconds

3 hours = 3600 * 3 seconds

            = 10800 seconds

So

Speed = 112630/10800 meters/second

          = 10.4 meters per second.

So the falcon was flying at a speed of 10.4 meters per second.