Larry is 10 and his sister is 7 years old. In how many years time will their total age be 25 years?

Remark

One of the ways you could solve this is to go to a place like Desmos and graph it for yourself. Then at least you would know what the answer looked like. Another way is to solve for the x value by equating the equations since the y has to be the same. We'll do both.

Solve For X

(2/3)x + 1 = -(2/3)x - 1    Add 1 to both sides

(2/3)x + 1 + 1 = - 2/3x    Subtract (2/3x) from both sides.

2 = (-2/3)x - (2/3)x

Show the graph and comment

Notice that there is only one graph given that has a value of x = - 3/2 Normally you are not that lucky. Thanks for putting the graphs in. We are usually not that lucky and have to guess at the answer if it is a graph.

2 = - 4/3x                      Multiply both sides by 3

2 * 3 = - 4x    

6 = - 4x                          Divide by - 4

6/-4  = x                        Reduce

-3/2  = x

Remark

The x value is wrong for the one on the left.  It is also wrong for the third one from the left.  And the last graph is also incorrect.     Only the second from the left gives the right answer.                                      

Answer: Greta is correct.

Explanation:

Greta is correct sine you can substitute different number of people for each of the values of and y and check that each person will still plant 4 trees.

For example:

4x = 4(1) = 4 trees; and

4 x 5 = 20

but you should follow a certain pattern to increase the value of x, such that every foe every value of x, one person is able to plant 4 trees.

Answer:

the answer is D

Step-by-step explanation:

Answer: There are 4 adults. Two males. 16 children.

Step-by-step explanation:

2 x 2 = 4

4 adults

4 x 5 = 20

20 + 4 = 24

24 = 24

Answer:

Exact same way:

4 adults,

2 males & 2 females,

and 16 children

Step-by-step explanation:

Exactly as his!

The water is rising at a rate of 1/3 foot per hour. That means it will take 3 hours to fill 1 foot. Now multiply 3 times 4, because it takes 3 hour for every foot. That equals 12. That means it will take Natasha 12 hours to fill the 4 foot pool. Hope that helps!

Let's assume

number of months =x

A high definition radio station charges $200 per year

so, we get point as (0,200)

Assume

f(x) is the total amount of charges in a year

we can see that this is linear relationship

so, we can use formula

[tex]f(x)=mx+b[/tex]

in addition to $50 per month for the first 3 months to receive its broadcast

so, m=50

we can plug it

[tex]f(x)=50x+b[/tex]

we can use point as (0,200)

[tex]200=50*0+b[/tex]

[tex]b=200[/tex]

now, we can plug it back

and we get

[tex]f(x)=50x+200[/tex]...............Answer

Obviously, if he were to only maximize his income he would put all money on the higher interest. But to reduce the risk he will balance the investment. He will put a fraction a (between 0 and 1) of the 710000 on 1% and the rest (1-a) on the 4.5%.  Both interests together must then satisfy to add up to 18000.

So written as an equation:

[tex]710000\cdot a\cdot 0.01 + 710000\cdot(1-a)\cdot 0.045 = 18000[/tex]

I am not going to solve step by step assuming you can solve for a (if not let me know) but the solution is

[tex]a = 279/497[/tex]

So that means he should put

[tex]710000\cdot \frac{279}{497} \approx 398571[/tex] on the 1% account, and the rest 311429 on the riskier 4.5% account.

Answer:

4397

Step-by-step explanation:

Because 9 is closer to another 0, so you would round the 6 to a 7.

x + y = 20

30x + 25y = 550

Using the first equation, we can find a temporary value of x.

x = 20 - y

Now that we have a value of x, we can plug it into the second equation to find the exact value of y.

30x + 25y = 550

30(20 - y) + 25y = 550

Distributive property.

600 - 30y + 25y = 550

Combine like terms.

600 - 5y = 550

Add 5y to both sides.

600 = 550 + 5y

Subtract 550 from both sides.

50 = 5y

Divide both sides by 5.

y = 10.

Now we can plug the value of y into the original equation to find the value of x.

10 + x = 20

Subtract 10 from both sides.

x = 10

The value of x is equal to 10, and the value of y is also equal to 10.

solution is (x, y ) = (10, 10)

given

x + y = 20 → (1)

30x + 25y = 550 → (2)

from (1) y = 20 - x → (3)

substitute y = 20 - x in (2)

30x + 25(20 - x) = 550

30x + 500 - 25x = 550

5x + 500 = 550 ( subtract 500 from both sides )

5x = 50 ( divide both sides by 5 )

x = [tex]\frac{50}{5}[/tex] = 10

substitute x = 10 in (3) : y = 20 - 10 = 10

thus x = 10, y = 10 is the solution

It is the distribution property. That meas that 2(a + b) = 2a + 2b. to make sense of this plug in any tow numbers for a and b and solve. I will use a = 4, and b = 10. So that would plug into the statement like this; 2(4 + 10) = 2(4) + 2(10). 2(14) = 8 + 20. 28 = 28.

Answer:

The distributive porperty

Step-by-step explanation:

x = [tex]\frac{n-p}{m}[/tex]

isolate x by dividing both sides by m

x = [tex]\frac{n-p}{m}[/tex]

The scale factor would be 0.5 or 1/2

I believe it is 30% because you can divide 200 in half to get it out of 100, and then divide 60 in half to make it even! (i’m sorry if this doesn’t make sense)

Final answer:

To calculate what percent of people like rap out of 200 who came to a fundraiser, divide the 60 people who like rap by 200 and multiply by 100, resulting in 30% of people liking rap.

Explanation:

The question asks us to calculate what percent of people like rap out of 200 kids who came to a fundraiser. To find the percentage of people who like rap, we use the basic formula for finding percentages: (Part / Whole) × 100. Here, the 'Part' is the number of people who like rap, and the 'Whole' is the total number of kids who came to the fundraiser.

Given:
Part (people who like rap) = 60
Whole (total kids at the fundraiser) = 200

Using the formula, we calculate the percentage as follows:
(60 / 200) × 100 = 0.3 × 100 = 30%.

Therefore, 30% of the people at the fundraiser like rap.

g(x) = ax²

We have a point (1, 5).

Substitute x = 1 and g(x) = 5

a(1²) = 5

a = 5

Answer: B. g(x) = 5x²

Answer:

We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

Step-by-step explanation:

The blend should,

Cost = $5

Weigh = 6 pounds.

Lets take the weight of $6 coffee as [tex]x[/tex] pounds

And lets take the weight of $3 coffee as [tex]y[/tex] pounds.

Lets write an equation for the weight of the blend,

[tex]x+y=6[/tex] <---------- 1st equation.

[tex]\frac{6x+3y}{x+y} =5[/tex]

=[tex]6x+3y=5x+5y[/tex]

=[tex]x=2y[/tex] <---------- 2nd equation

We can substitute to x in 1st equation from 2nd equation,

⇒[tex]2y+y=6[/tex]

=[tex]2y+y=6[/tex]

=[tex]3y=6[/tex]

=[tex]y=2[/tex]

We can substitute y value to 2nd equation to find x,

⇒[tex]x=2y[/tex]

=[tex]x=2*2[/tex]=[tex]x=4[/tex]

Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{9}{8x^{4} }[/tex]

let y = [tex]\frac{3}{(2x)^{3} }[/tex] = [tex]\frac{3}{8}[/tex] [tex]x^{-3}[/tex]

differentiate using the power rule

[tex]\frac{d}{dx}[/tex] ([tex]ax^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{9}{8}[/tex][tex]x^{-4}[/tex] = - [tex]\frac{9}{8x^{4} }[/tex]

Answer:

-18

Step-by-step explanation:

The tall sticks around n+5 are absolute value signs. Basically, all you need to do is work out what the answer to the problem is inside the signs, then make whatever the answer is positive, then multiply by -9.

-7 + 5 = -2 (that turns into 2)

-9 x 2 = -18

Answer:

3.3x − 6.6 = 2.7x   ⇔   0.6x = 6.6

B is correct

Step-by-step explanation:

The equation 3.3x − 6.6 = 2.7x can be transformed to another form.

Given

3.3x − 6.6 = 2.7x

Move all variable same side. using subtraction property of equality

subtract 2.7x both sides

3.3x -2.7x − 6.6 = 0

         0.6x - 6.6 = 0

Addition property of equality

   0.6x = 6.6

Hence, The equivalent equation is 0.6x = 6.6

Answer:

Step-by-step explanation:

3.3x - 2.7x = 6.6

0.6x = 6.6

answer is B

answer is also 11

Answer:

I think you need to put more info

Step-by-step explanation:

To graph the inequality x is greater than or equal to 6, mark the number 6 on a number line with a closed circle and shade the area to the right of it.

To graph the inequality x is greater than or equal to 6, draw a number line and mark 6 with a closed circle to indicate that it is included in the solution set. Then, shade the area to the right of 6 to represent all the values that are greater than or equal to 6.

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Four hundred three and six hundred eight thousandths.

Four hundred-three and six hundred-eight thousandths.

No, it does not have a straight line. (A)

Hello, floresvanexel4pejp1p

Your question: Does this graph represent a function?Why or why not?

My answer: No, Because there are no straight lines so in that order your answer will be A

Important:I hope my answer helped if it did please mark me as brainliest thank you and have the BEST day ever!

for the rectangular red paper :

w₁ = width of the red paper = 4 cm

L₁ = length of red paper = 2 w = 2 x 4 = 8 cm

A₁ = area of the red paper = L₁ w₁ = 8 x 4 = 32 cm²

for the rectangular blue paper :

w₂ = width of the blue paper = 3 cm

L₂ = length of blue paper = 7 cm

A₂ = area of the blue paper = L₂ w₂ = 7 x 3 = 21 cm²

area visible is given as

A = A₁ - A₂ = 32 cm² - 21 cm² = 11 cm²

so 11 square units of red paper will be visible on top

[tex]3(x-3)-4x\geq-3\\\\3x-9-4x\geq-3\\\\-x\geq6\\\\x\leq-6[/tex]

You would solve the problem by substituting 9 for x in the equation f(x) = 50(0.952)^x. After calculating it, the estimated number of feral cats in 9 years is 32.

The function given is f(x) = 50(0.952)^x, which models a declining feral cat population. To find out how many feral cats there will be in 9 years, plug in 9 for x in the formula: f(9) = 50(0.952)^9. Upon calculation, this equals approximately 32, hence, there would be about 32 feral cats after 9 years.

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The model f(x) = 50(0.952)x is used to predict the declining feral cat population over time. By substituting x = 9, we can predict there will be about 32 feral cats in 9 years.

The function f(x) = 50(0.952)x describes the declining population of feral cats over years. To determine the number of feral cats in 9 years, we substitute x = 9 in the function.

Therefore, f(9) = 50 * (0.952)9.

When you compute this, you get approximately 32, so at the end of 9 years, we expect about 32 feral cats.

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The expression you would use is 15 + .65x = 80. If you solve for x, Beth swam 100 laps.

Hope its correct and good luck :)

-12(x+2)=6(-4-2x)+4x

-12x-24=-24-12x+4x

x=0

x is equal to zero. Distribute The -12 to x and 2. Then distribute the 6 to -4 and -2.

That gives you -12-24=-24-12x+4x

combining like terms gives you -12-24=24-8x

next you should get x by itself.  that gives you 0 as the final answer

3x+3 + 10x-4 +90 (because complementary angle add up to 90)

13x-1+90 (add 1)

13x/13=91 (divide 13 on both sides)

x=7

now you fill in 7 for x

m<K=24 and m<L=66

hope i helped

The measures of both angles are 24° and 66°.

Given:

m<K = 3x + 3

m<L = 10x-4

Note:

Complementary angles are angles whose sum equals 90 degrees.

Therefore:

[tex]m \angle K + m \angle L = 90^{o}[/tex]

Substitute

[tex](3x+3) + (10x-4) = 90[/tex]

Solve for x

[tex]3x+3 + 10x-4 = 90\\[/tex]

Add like terms

[tex]13x-1 = 90\\[/tex]

Add 1 to both sides

[tex]13x = 90 + 1\\13x = 91[/tex]

Divide both sides by 13

[tex]x= 7[/tex]

Substitute the value of x in each of the expressions of the two given complementary angles.

[tex]m\angle K = 3(7) + 3 = 21 + 3\\m\angle K = 24^{o}[/tex]

[tex]m\angle L = 10(7) - 4 = 70 - 4 \\m\angle L = 66^{o}[/tex]

Therefore, the measures of both complementary angles are: 24° and 66°.

Learn more about complementary angles here:

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