If the polynomial shown below is to be a perfect square trinomial, what
must the value of k be? *
9a2 + ka + 16

Answer:

Step-by-step explanation:

Compact cars:

24 divided by 4 = 6

6 cars for 24 people

SUV's:

24 divided by 6 = 4

4 SUV's for 24 people

Answer:

[tex]4x+6y=24[/tex]

See below for graph.

Step-by-step explanation:

A total of 24 people need to be transported.

Let x represent the number of Uber compact cars.

And let y represent the number of SUVs.

So, the number of people that can be picked up by x compact cars is 4x.

And the number of people that can be picked up by y SUVs is 6y.

And the total is 24 people. So, the two terms must total 24. So, we can write:

[tex]4x+6y=24[/tex]

We can convert this to slope-intercept form. First, we can divide everything by  2:

[tex]2x+3y=12[/tex]

Subtracting 2x from both sides yields:

[tex]3x=-2x+12[/tex]

Finally, dividing both sides by 3 yields our linear equation:

[tex]\displaystyle y=-\frac{2}{3}x+4[/tex]

Please refer to the below attachment for the graph.

*Note that we should restrain our graph to only QI. This is because we cannot use negative compact cars of SUVs. Also, only integer points on the line will work, as we cannot have, say, 2.5 compact cars.

**Also, the x- and y-intercepts tell us the maximum of each type needed. Either we need 6 compact cars and 0 SUVs, (6, 0); 4 SUVs and 0 compact cars (0, 4); or a combination of them.

Answer:

[tex]Red = \frac{10}{37}[/tex]

Step-by-step explanation:

Given

[tex]Red:Yellow = 2 : 3[/tex]

[tex]Yellow: Blue = 5 : 4[/tex]

Required

Determine the fraction of Red

First, we need to link the given ratios.

Since yellow is present in both ratios, we start by making the ratio of yellow equal in both ratios

Multiply this ratio by 5

[tex]Red:Yellow = 2 : 3[/tex]

This becomes

[tex]Red:Yellow = 10 :15[/tex]

Similarly, multiply this ratio by 3

[tex]Yellow: Blue = 5 : 4[/tex]

This becomes

[tex]Yellow:Blue =15:12[/tex]

At this point, we have:

[tex]Red:Yellow = 10 :15[/tex] and [tex]Yellow:Blue =15:12[/tex]

Combine

[tex]Red:Yellow:Blue = 10:15:12[/tex]

The fraction is then calculated as:

[tex]Red = \frac{Red}{Red +Yellow + Blue}[/tex]

This gives

[tex]Red = \frac{10}{10+15+12}[/tex]

[tex]Red = \frac{10}{37}[/tex]

Answer:

The indifference point is 3 days.

Step-by-step explanation:

Company A:

Total cost= 40*x

Company B:

Total cost= 60 + 20*x

x= number of days

To calculate the indifference point, we need to equal both formulas. and isolate x:

40x = 60 + 20x

20x= 60

x= 60/20

x= 3

The indifference point is 3 days.

Prove:

Company A:

Total cost= 40*3= $120

Company B:

Total cost= 60 + 20*3= $120

Answer:

12 ( x+3)

Step-by-step explanation:

We can factor a 12 out of each term

12 *x + 12*3

12 ( x+3)

Answer:no try y=Mx+b

Step-by-step explanation:

Answer:

y = 30x is a function.

Step-by-step explanation:

Given an equation, there should be only one corresponding (cor a sponding to pronounce) y value for any y value.

Answer:

I think it is 0.167

Answer:

.167

Step-by-step explanation:

[tex]1 \div 6 = 0.16666666 \\ repeating \: so \: you \: round \: to \: the \: thousandths \: making \: it \: .167[/tex]

Answer:

The answer is x=15/4

Step-by-step explanation:

8x - 3 = 16x - 33

8x−3−16x=16x−33−16x

−8x−3=−33

−8x−3+3=−33+3

−8x=−30

−8x/-8=−30/-8

x=15/4

The value of the x for the equation 8x-3=16x-33 is 3.75.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

8x-3=16x-33

Simplify the equation,

⇒33-3 = 16x-8x

⇒30 = 8x

⇒8x = 30

⇒x = 3.75

The value of x is 3.75.

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Answer:

a)  eight and seven ninths minus three and four sixths

Step-by-step explanation:

The required result is [tex]5\frac{6}{54}[/tex]

a)

[tex]8\frac{7}{9} -3\frac{4}{6}\\\\=\frac{79}{9} -\frac{22}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{474-198}{54} \\\\=\frac{276}{54}\\\\=5\frac{6}{54}[/tex]

b)

[tex]6\frac{8}{9} -1\frac{5}{6}\\\\=\frac{62}{9} -\frac{11}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{372-99}{54} \\\\=\frac{273}{54}\\\\=5\frac{3}{54}[/tex]

c)

[tex]4\frac{1}{6} +1\frac{1}{9}\\\\=\frac{10}{9} +\frac{25}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{60+225}{54} \\\\=\frac{285}{54}\\\\=5\frac{15 }{54}[/tex]

d)

[tex]3\frac{3}{6} +2\frac{4}{9}\\\\=\frac{22}{9} +\frac{21}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{132+189}{54} \\\\=\frac{321}{54}\\\\=5\frac{51 }{54}[/tex]

Answer: A

Step-by-step explanation: I did the assesment

Answer:

the answer is: 9.55cm.

Answer:

10cm

Step-by-step explanation:

9.55 is the same thing , but rounded its 10

Answer:

2B-M=R

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Step-by-step explanation:

Here, we want to compare speeds

For Jesse’s train, the speed is 150 mi/h

we got this from the fact that the equation of a straight line is represented as;

y = mx + b

where m which is the slope represents the rate of change

m here is 150

For Khalid’s;

we can get his own rate from the graph

This can be obtained using the slope

We can simply have this as ;

m = (y2-y1)/(x2-x1)

Let us have two points

(4,560) and (0,0)

Thus;

m = 560/4 = 140 mi/h

Hence;

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

Answer:

- 2.368

Step-by-step explanation:

Given that :

Mean (m) = 172. 5

Standard deviation (s) = 1.9

Score (x) = 168

The Zscore can be obtained thus :

Zscore = (x - m) / s

Zscore = (168 - 172.5) / 1.9

Zscore = - 4.5 / 1.9

Zscore = −2.368421

Zscore = - 2.368

Answer:

First Box: 3/6 --- 1/2

Second Box: 3/10

Answer:

Step-by-step explanation:

the tip would be = 2.325 which rounds up to 2.33$ in total this would be17.83

For the slope, we will use the slope formula*.

[tex]m = \frac{-1 - 5}{0 - 5} = \frac{-6}{-5}[/tex]

The y-intercept is already given. It is 1.

To create the equation of the line, we put what we got for m and b in slope-intercept form**.

[tex]y = -\frac{6}{5}x + 1[/tex]

Formulas:

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b

Answer:

(1,5)  is your answer

Step-by-step explanation:

You would have to divide the

2 and 10 by 2 and you would get (1,5)

Hope that help!Have a GREAT day!!

And Brainiest is needed!

Answer:

Number of terms: n=6

Step-by-step explanation:

We are given:

a₁ = 0.75

r = 4

Sₙ = 1023.75

We need to find number of terms i.e n

The formula used will be:[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

Putting values and fining n

[tex]S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096[/tex]

We know that [tex]4^6= 4096[/tex]

[tex]4^n=4^6[/tex]

Using Exponent rule: [tex]a^n=a^b => n=b[/tex]

[tex]n=6[/tex]

So, Number of terms: n=6

Answer:

1. -.005

2.-1/2

3. 0

4. 2

Step-by-step explanation:

if it is negative put positive and if it is positive put negative. for 0 it will always stay the same

Answer:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

x is the number of hours

Step-by-step explanation:

From the information given, the cost to go to the ice skating ring is equal to the cost to rent ice skates plus the result of multiplying the cost to skate per hour for the number of hours and the equation would be:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

x is the number of hours

Answer:

19 batches

Step-by-step explanation:

Given that:

Total number of cups of sugar = [tex]12\frac{2}{3}[/tex]

Amount of sugar used in one batch = [tex]r[/tex]

Number of batches that can be made by Tyra with the amount of sugar that is available with Tyra can be calculated by dividing the total number of cups of sugar available with Tyra with the amount of sugar to be used in one batch.

i.e.

Number of batches = [tex]12\frac{2}{3} \div r[/tex]

Also, if we put the value:

[tex]r=\frac{2}{3}[/tex]

We have to find the number of batches of cookies that can be made by Tyra.

Solution:

First of all, let us have a look at the formula to convert the mixed fraction into fractional number.

[tex]a\dfrac{b}{c} = \dfrac{a\times c + b}{c}[/tex]

Therefore,

[tex]12\dfrac{2}{3} = \dfrac{12\times 3 + 2}{3} = \dfrac{38}{3}[/tex]

Number of batches:

[tex]\dfrac{38}{3} \div \dfrac{2}{3}\\\Rightarrow \dfrac{38}{3} \times \dfrac{3}{2}\\\Rightarrow \bold{19}[/tex]

Therefore, 19 batches can be completed.

Answer: Above answer is correct

Step-by-step explanation:

Answer:

There is no values to make the equation true. Please check the equation.

Step-by-step explanation:

Answer:

19

Step-by-step explanation

Answer: maybe this will help

Step-by-step explanation:

Use the formula:

Discount = Marked Price – Selling Price

Percent Discount = Discount/Marked Price × 100%

Discount: 280 – 259 = 21

The marked price: 280

Step-by-step explanation:

The given equation is :

[tex]\dfrac{14+10x}{12}=-3[/tex]

Cross multiply,

[tex]14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5[/tex]

This equation will have only one solution.

We can check the solution as follows :

Put x = -5 in LHS of the the given equation.

[tex]\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3[/tex]

= RHS

Hence, this is the required solution.

Answer:

24 packages

Step-by-step explanation:

Given

Represent Napkins with N and Cups with C

[tex]C = 8's[/tex]

[tex]N = 12's[/tex]

Required

Determine the smallest amount of N and C that will be equal

To do this, we simply calculate the LCM of N and C as follows:

List out the multiples of each..

[tex]C = 8,16,24,30....[/tex]

[tex]N = 12,24,36,48...[/tex]

The common multiple between both is 24.

Hence, 24 packages of N and C answers the question