Tutorial Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane ticket. Then, he transfers 1 4 of his remaining savings into his checking account so that he has some spending money for his trip. How much money is left in Charlie's savings account?

Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.

It is important we understand that foot refers to single unit of measurement while feet is the plural of foot.

Marcus needs to tie two bows for birthday gifts and he has an 8-foot roll of ribbon.

• He uses 3 3/8 (27/8 as a fraction) feet of ribbon for Crystal's gift.

• He uses 2 3/4 (11/4 as a fraction) feet for Tim's gift.

The left-over computation is as follows:

= [tex]8 - \frac{27}{8} - \frac{11}4}[/tex]

= [tex]\frac{256-108-88}{32}[/tex]

= [tex]\frac{60}{32}[/tex]

= [tex]\frac{15}{8}[/tex] or [tex]1\frac{7}{8}[/tex] feet

Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.

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Answer:

9 3/4

Step-by-step explanation:

First you would want to multiply the whole number with their denominators and then add the numerator to that. 2*6+1 and 4*2+1  Then you keep the original denominator at the bottom of the fraction.

2*6+1/6  4*2+1/2 ---> 13/6 x 9/2

You would then simplify the crossing numbers 6 and 9. They both can be divided by three.

13/2 x 3/2 = 39/4

Now you would do long division where you divide 39 by 4

4 goes into 39 nine times subtracting 36 from 39.

You then end up with 1 which becomes you numerator, 4 is the new denominator and 9 is the whole number.

The answer of the given mixed numbers 2 1/6 x 4 1/2 is 9 3/4.

A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.

You should first multiply the entire number by the denominators of the other numbers, and then add the numerator to that result. 2*6+1 and 4*2+1 The original denominator is then kept at the bottom of the fraction.

(2*6+1)/6 x ( 4*2+1)/2 —-> 13/6 x 9/2

Next, you would streamline the intersection of numbers 6 and 9. They are both divisible by three.

13/2 x 3/2 = 39/4

You would now perform a long division by dividing 39 by 4.
4 multiplies 39 by 9 and subtracts 36 from 39.

In the end 3 becomes the numerator, 4 becomes the new denominator, and 9 is the total.

Therefore, 2 1/6 x 4 1/2 = 9 3/4.

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Estimation and precision are used when the actual value cannot be easily determined or calculated.

Given that, the length is to be measured to the nearest [tex]\frac 14\ inch[/tex], we have the following observations

So, we have:

[tex]L_1 = 2\frac 14[/tex] --- the length of the abdomen

[tex]L_2 = 4 - 2\frac 14[/tex]

Express as improper fraction

[tex]L_2 = 4 - \frac{9}{4}[/tex]

Take LCM

[tex]L_2 = \frac{16 - 9}{4}[/tex]

[tex]L_2 = \frac{7}{4}[/tex]

Express as proper fraction

[tex]L_2 = 1\frac{3}{4}[/tex] --- the length of the thorax

The number of times (n) the abdomen is longer than the thorax is calculated as follows:

[tex]n = L_1 \div L_2[/tex]

So, we have:

[tex]n = 2\frac 14 \div 1\frac 34[/tex]

Express as improper fractions

[tex]n = \frac 94 \div \frac 74[/tex]

Rewrite as:

[tex]n = \frac 94 \times \frac 47[/tex]

[tex]n = \frac 97[/tex]

Express as proper fractions

[tex]n = 1\frac 27[/tex]

Hence, the abdomen is [tex]1\frac 27[/tex] times longer than the thorax

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Answer:

112 guests

Step-by-step explanation:

I. If her total cost is 773$

When Total = DJ + Cake + Guest

            773 = 250 + 75 + 4(x)

            773 = 325 + 4(x)

            773 - 325 = 4(x)

            448 = 4x

               x = 448/4

               x = 112

That makes guests are 112

Answer:

a= 1 , b= 3 , c= –3

[tex]x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79[/tex]

I hope I helped you^_^

9514 1404 393

Answer:

Step-by-step explanation:

The given expression says ...

  [tex]t_n+1=3\\\\t_n=2\qquad\text{for any value of n}\\\\t_2=2\\\\t_3=2[/tex]

Answer:

[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ n = 2 \\ t2 = 2 \\ n = 3 \\ t3 = 2 \\ for \: all \: n \: values \: = 2 \\ thank \: you[/tex]

Answer:

Represents

Step-by-step explanation:

Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.

Answer:

Step-by-step explanation:

Rearrange the givens

3/5 - 2/5 - 6/7 + 3/14

1/5 - 12/14 + 3/14

1/5 -  9/14

The lowest common multiple is 70

14/70 - 45/70 = - 31/70

Answer:

27 square are there in the given figure

Answer:

200

Step-by-step explanation:

90-35=125

180-125=55

55x4=220

220= 200

Answer as a Fraction: -2/5

Step-by-step explanation:

-0.4 = -4/10

       = -2/5

Answer:

Ans. is -10. Explanation is in the attachment.

Answer:

both are -10

Step-by-step explanation:

#1

x1 y1  x2 y2

1.5 180  6 135

(Y2-Y1) (135)-(180)=   -45  ΔY -45

(X2-X1) (6)-(1.5)=    4.5  ΔX 4.5

slope= -10          

B= 195          

Y =-10X +195

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~    

#2

x1 y1  x2 y2

1 175  8 105

(Y2-Y1) (105)-(175)=   -70  ΔY -70

(X2-X1) (8)-(1)=    7  ΔX 7

slope= -10          

B= 185          

Y =-10X +185    

We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

From the Question we are told that

[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]

Generally the equation for the Resultant PR is mathematically given as

[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]

a)

Generally the equation for the Distance around they park is mathematically given as

[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]

[tex]X=190yd[/tex]

b)

Generally the equation for the Path QM is mathematically given as

From the diagram we see that

[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]

[tex]QM=40yd[/tex]

c)

From the question we are told

Average speed of [tex]150yd/m[/tex]

Total distance traveled

[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]

Therefore

Time

[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]

[tex]T=1.5minutes.[/tex]

in conclusion

The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

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Answer:

[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]

I hope I helped you^_^

Answer: 1/4n-12=6

1n/4-12=6

n=72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

let the number be n , then

[tex]\frac{1}{4}[/tex] n - 12 = 6 ( multiply through by 4 to eliminate the fraction )

n - 48 = 24 ( add 48 to both sides )

n = 72

Answer:

x = 8

Step-by-step explanation:

A common pythagorean triplet is 7, 8, 9

Answer:

11.4

Step-by-step explanation:

Pythagorean theorem

[tex]7^{2}[/tex] + [tex]9^{2}[/tex] = [tex]x^{2}[/tex]

49 + 81 = [tex]x^{2}[/tex]

130 = [tex]x^{2}[/tex]

11.4 = x

Answer:

It will be -8≤×≤8

The cube root of 27 is 3!!

The median of that data set is 9.

Sort the numbers from least to greatest and find the middle number (that should be your median)

If there are 2 numbers in the middle of the set, then you take the average and that would be your median.

Answer:

it means absolute valuen so anything inside becomes a positve.

Step-by-step explanation:

Step-by-step explanation:

12 + 3=15

48+ 3=51

10 + 3=13

40 + 3=43

12 + 3=15

48 + 3=51

10 + 3=13

40+ 3=43

Answer:

m = -18

Step-by-step explanation:

6 + m/2 = -3

Subtract 6 from each side

6 + m/2 -6 = -3-6

m/2 = -9

Multiply each side by 2

m/2 * 2 = -9*2

m = -18

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]

[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]

[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

Business, management, marketing and technology.

Engineering, manufacturing and industrial technology.

i am not sure but i hope it will help you.

please mark me as brainlest.

Answer:

I think C is the correct answer

Answer:

C

Step-by-step explanation: