Express the inequality using interval notation. 3<×≤5

Answer:

5 Cakes

Step-by-step explanation:

14.5/2.75=5.27

A cake recipe calls for 2 3/4 cups of sugar. A caterer has 14 1/2 cups of sugar on hand. He can make 5 cakes.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; A cake recipe calls for 2 3/4 cups of sugar. A caterer has 14 1/2 cups of sugar on hand.

WE have to do 4 x the amount you know you can such as 10.

Then we have to multiply the 1/2 by that same number

Then we divide

14.5/2.75=5.27

Therefore, They can make 5 cakes.

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Answer:

(9,-5)

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

(9,-5)

Hope this helps :-)

Answer:

64 degrees

Step-by-step explanation:

complementary-angle adds up to 90 degrees.

90-26 is 64 degrees.

Answer:

Step-by-step explanation:

Given the function  j(x) = 11.6[tex]e^x[/tex] and k(x) = [tex]ln \dfrac{x}{11.6}[/tex], to show that both equality functions are true, all we need to show is that both  j(k(x)) and k(j(x)) equal x,

For j(k(x));

j(k(x)) = j[(ln x/11.6)]

j[(ln (x/11.6)] = 11.6e^{ln (x/11.6)}

j[(ln x/11.6)] = 11.6(x/11.6) (exponential function will cancel out the natural logarithm)

j[(ln x/11.6)] = 11.6 * x/11.6

j[(ln x/11.6)] = x

Hence j[k(x)] = x

Similarly for k[j(x)];

k[j(x)] = k[11.6e^x]

k[11.6e^x] = ln (11.6e^x/11.6)

k[11.6e^x]  = ln(e^x)

exponential function will cancel out the natural logarithm leaving x

k[11.6e^x]  = x

Hence k[j(x)] = x

From the calculations above, it can be seen that j[k(x)] =  k[j(x)]  = x, this shows that the functions j(x) = 11.6[tex]e^x[/tex] and k(x) = [tex]ln \dfrac{x}{11.6}[/tex] are inverse functions.

Answer:

the answer is C

Step-by-step explanation:

I did the test and got it right

Answer:

34,466 children

Step-by-step explanation:

Given the following :

Total number of males born in year 2000= 2,086,814

Percentage number of Jacob's born in year 2000 = 1.6516%

The Jacobs make up 1.6516% of all males born that year?.

The number of Jacob's born in year 2000 will be :

1.6516% of the total number of children born in the year 2000

(1.6516 / 100) × 2,086,814

0.016516 × 2,086,814

= 34465.820024

= about 34,466 children

Answer:

1) ASA

2) SSA

Step-by-step explanation:

The sine rule is used when we have; ASA, AAS or SSA cases. However, SSA is an ambiguous case which occurs when there are two sides and a given angle opposite one of these given sides. The triangles resulting from a situation like this requires a much closer look in comparison to SSS, ASA, and AAS cases. SSA may result in one triangle, two triangles, or even no triangle at all.

Answer:

c

Step-by-step explanation:

its c

The cash received by the person who filled out this deposit is $88.79.

Option C is the correct answer.

Given,

Description                      Amount ($)

Cash, including coins.          15.00

Check 1                                 62.44

Check 2                                 27.83

Check 3                                 45.75

Subtotal                                  ??.??

Less cash received                ??.??

Total                                        62.23

We need to find the less cash received.

A deposit slip is a bank form where the customer fills in the required date such as the date, the depositor's name, the depositor's account number, and the deposit amounts.

Find the subtotal.

= Cash included coins + check 1 + check 2 + check 3

= 15.00 + 62.44 + 27.83 + 45.75

= 151.02

Find the less cash received.

We have,

Total = 62.23

Total = Subtotal - less cash received

62.23 = 151.02 - less cash received

less cash received:

= 151.02 - 62.23

= 88.79

Thus, the cash the person who filled this deposit slip received is $88.79.

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The complete question:

Consider the following incomplete deposit slip:

Description - Amount ($)

Cash, including coins - 15.00

Check 1  - 62.44

Check 2 - 27.83

Check 3 - 45.75

Subtotal - ?? ??

Less cash received - ?? ??

Total - 62.23

How much cash did the person who filled out this deposit slip receive?

a. $381.23

b. $451.02

c. $88.79

d. $436.02

Answer: 5/6

Step-by-step explanation:

p - 1/6 = 2/3

    +1/6   +1/6

p = 5/6

Answer:

p = 5/6

Step-by-step explanation:

For this problem, simply take the words of the problem and convert them into an equation as such:

The difference of p and one-sixth implies --> p - 1/6

is two-thirds implies --> 2/3

So, our equation:

p - 1/6 = 2/3

Now simply solve for p, and combine the fractions.

p - 1/6 = 2/3

p - 1/6 + 1/6 = 2/3 + 1/6

p = 2/3 + 1/6

p = 4/6 + 1/6

p = 5/6

Cheers.

Answer:

$26 + X = $57

$26 + $31 = $57

X = $31

My first time ever answering a question hope it helped =)  (And sry it took long)

Step-by-step explanation:

Answer:

792/7 is the correct answer

Step-by-step explanation:

V=4/3pi r^3

=4/3×22/7×3x×3x×3x

=88×9x÷7=792/7

Answer:

Jennifer should expect a number less than 3 23 times

Step-by-step explanation:

The probability of rolling a number less than 3 on a number cube is 2/6. .

The probability of rolling a number less than 3 on a number cube is 2/6

= 1/3

Jennifer rolls a number cube 69 times

Expectations= probability*total outcome

Expectations= 1/3 * 69

Expectations= 69/3

Expectations= 23 times

Answer:

30

Step-by-step explanation:

Answer:

60,500

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

2x+5 slope: 2

-6x+3y=30 slope: 2

Hence the answer is parallel

Answer:

x=9

Step-by-step explanation:

If the triangles are congruent, then the angles B and E are also congruent (because they lie in the same place). Set an equation where B is equal to E:

∠[tex]B=[/tex]∠[tex]E[/tex]

Substitute values:

[tex]5x=45[/tex]

Solve for x. Divide both sides by 5:

[tex]\frac{5x}{5}=\frac{45}{5}\\\\ x=9[/tex]

So, when ΔABC≅ΔDEC, and ∠B=5x and ∠E=45°, the value of x is 9.

:Done

Answer:

I agree with the first answer

Step-by-step explanation:

Answer:

38 minutes

Step-by-step explanation:

Volume of the first aquarium:

Volume of the second aquarium

The second aquarium is:

It will take

to fill this aquarium

168 ÷ 14 =12

ink

...

.

...

Answer:

Let the cost the number of cartridges be x.

We have given that cost of one cartridge is 14 $/cartridge.

And we have 168 $ with us.

So, according to question we have an equation-

14x=168

x=168/14

x=12

Hence, we can buy 12 cartridges if we 168 $ and the cost of one cartridge is 14 $.

Answer:

Option D : "he percent of increase of respiratory illnesses per year"

Step-by-step explanation:

Since you want to show how the respiratory illnesses increase over the last 15 years, then plot  a graph that shows such increase year by year.

Given :

A grocery store charges 1.25 $ for every 3/4 pound of chocolate purchased.

To Find :

How much will the store charge a customer who purchases 9 pounds of chocolate .

Solution :

3/4 pound store charges 1.25 $ .

Let , cost of 1 pound is x .

So ,

[tex]\dfrac{3x}{4}=1.25\\\\x=\dfrac{1.25\times 4}{3}\\\\x=1.67\ \$[/tex]

Now , cost of 9 pounds chocolate is :

[tex]C=9\times 1.67\ \$\\\\C=15.03\ \$[/tex]

Therefore , cost of 9 pounds chocolate is 15.03 $ .

Hence , this is the required solution .

Answer: x=20.5

Step-by-step explanation:

Given

4x-17=65

Add 17 on both sides (addition property of equality)

4x-17+17=65+17

4x=82

Divide 4 on both sides (division property of equality)

4/4x=82/4

x=20.5

Hope this helps!! :)

Please let me know if you have any question

Answer:

x = 20.5

Step-by-step explanation:

4x - 17 = 65

4x = 65 + 17

x = 82 ÷ 4

x = 20.5

Hope it helps.

Answer:

The types of cookies purchased by the customers depends on where the scouts sell them.

Step-by-step explanation:

The data provided is:

Sales                                                   Type of Cookie Sold

Method                                                        

                   Thin Mints        Tagalongs          Do-si-dos         Trefoils        Samoas

    At

parents’        472                   641                    350                  223               401

workplace  

  Door

  -to-              840                  1092                   673                    511               542

  Door  

Community   683                     742                   491                     420             374

  Events

A Chi-square test for goodness of fit will be used to determine whether the types of cookies purchased by the customers depends on where the scouts sell them.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

The formula to compute the expected frequency is:

[tex]E_{i}=\frac{i^{th}\ \text{Row Total}\times i^{th}\ \text{Column Total}}{N}[/tex]

Consider the Excel output for the expected frequency values.

The Chi-square test statistic value is:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}=56.788[/tex]

The degrees of freedom is:

df = (r - 1)(c - 1)

   = (3 - 1)(5 - 1)

   = 2 × 4

   = 8

The p-value is:

[tex]P(\chi^{2}_{8}>56.788)<0.00001[/tex]

*Use a Chi-square table.

The p-value of the test is very small.

The null hypothesis will be rejected at 1% level of significance.

Conclusion:

There is enough evidence to support the claim that the types of cookies purchased by the customers depends on where the scouts sell them.

Answer:

(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰

Step-by-step explanation:

(4x)¯² (4x)³ (4x)⁹

The above expression can be simplified as follow:

Recall:

When we have two or more index number with same base and a multiplication sign in between them, we easily simply by adding the index number together while keeping the base constant. This is illustrated below:

a^m x a^n = a^(m + n)

Therefore,

(4x)¯² (4x)³ (4x)⁹ = (4x)^(-2 + 3 +9)

(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰

Answer:

26%

Step-by-step explanation:

If 1 dollar is 100%

Then 0.26 dollar is:

Answer:

B

Step-by-step explanation:

A tesselation uses 1 shape to create an image by translating it or reflecting it. The shape is translated in this scenario so they are congruent from a translation (they are in the sam orientation unlike reflections)

Answer:

Step-by-step explanation:

[tex]8-10=-2+k[/tex]

Switch sides

[tex]-2+k=8-10[/tex]

Subtract the  numbers : 8-10=-2

[tex]-2+k=-2[/tex]

Add 2 to both sides

[tex]-2+k+2=-2+2[/tex]

Simplify

[tex]k = 0[/tex]

Answer:

k=0

Step-by-step explanation:

Simplify  8-108−10  to  -2−2.

−2=−2+k

regroup those terms

−2=k−2

cancel -2 on both sides

0=5

switch sides k=0

i recommend using cymath free and very easy

Answer:

  3583 million acres

Step-by-step explanation:

If 19% is federally owned, then 81% is not.

  0.81 × 4423 million acres = 3583 million acres

that are not federally owned.

_____

This is a typo or refers to some country other than the US. The largest US state (Alaska) is about 425 million acres.

Answer:

I think the scale factor is 2 because 12 divided by 6 is 2.

Answer:

Step-by-step explanation:

Yes, it's a repeating decimal:  1.3333333....

Answer:

3kg = 3000 gm

Step-by-step explanation:

we use this formula

m1x (distance of m1 )= m2 x( distance of m2)

* the distance far from the triangle*

m1 =6 kg

d1 = 3m

m2 = ê (kg )

d2 = 600 cm = 6 m

m1 d1 = m2 d2

6 x 3 = ê 6

ê = 3 kg

mass = 3kg = 3000 gram

#

To make the scale balance, the weight must be added is 3000g.

"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".

For the given situation,

From the diagram shown, the distance on both sides of the fulcrum (the triangle) must be the same to make the scale balance.

We know that

1 kg = 1000 g

1 m = 100 cm

Let the unknown quantity be 'x'

To write a balanced equation, units should be the same on both sides.

6 kg = 6000 g

3 m = 300 cm.

The equation is represented as

[tex]6000[/tex] × [tex]300 = x[/tex] × [tex]600[/tex]

⇒ [tex]x = \frac{(6000)(300)}{600}[/tex]

⇒ [tex]x=3000[/tex]

Hence we can conclude that to make the scale balance, the weight must be added is 3000g.

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Answer:

(C) 30 inches

Step-by-step explanation:

The area of a rectangle is always it’s length times its width. Since we are given the length and width, we can multiply these two numbers to get our total area.

[tex]6\cdot5=30[/tex]

Hope this helped!

Answer:

[tex]\large\boxed{Area = 30 inches}[/tex]

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

Length = 5 inches

Breadth= 6 inches

we know that the area of rectangle = length×breadth

Area of rectangle = length × breadth

[tex]\rightarrow[/tex] Area = 5 × 6

[tex]\rightarrow[/tex]Area = 30inches

Hope it helps