To solve this problem, which should you do first? (Check all that apply)



Group of answer choices

Subtract 0.8 - 1/10

Change 40.8 to 40 8/10

Subtract 40 - 14

Change 14 1/10 to 14.1

PLEASE HELPPP

Janet spent $230 on fuel

Janet rented a car to travel to Argentina

After the journey, she discovered that she had driven 1400 miles and used 56 gallons of gas

The gas costs $4.099 per gallon

Therefore the amount Janet spent thought out the journey for fuel can be calculated as follows

= 4.099 × 56

= 229.5

= 230

Hence when estimated, Janet spent $230 on fuel

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Answer:

35/4

Step-by-step explanation:

8*4=32

32+3

=35

35/4

Answer: -1536

Step-by-step explanation:

1: 4(3+3) (3+1) (3+5) (3-5)

2: 4(6) (4) (8) (-2)

3: 24 (4) (8) (-2)

4: 96 (8) (-2)

5: 768 (-2)

= -1536

The solution associated with rational numbers is descriptively illustrated below with a detailed explanation.

What is a rational number?

Problems with the division of Rational Numbers:

(a) [tex]\frac{5}{7}[/tex] ÷ [tex]\frac{-11}{5} = \frac{5}{7} * \frac{5}{11} = \frac{25}{77}[/tex]

(b) [tex]\frac{\frac{-4}{5} }{\frac{3}{10} }[/tex]

[tex]\frac{-4}{5}[/tex]÷[tex]\frac{3}{10}[/tex]

[tex]\frac{-4}{5} *\frac{10}{3} \\=\frac{-8}{3}[/tex]

(c) [tex]\frac{-7}{17}[/tex]÷[tex]\frac{13}{34}[/tex]

[tex]\frac{-7}{17} X\frac{34}{13}[/tex]

(d) [tex]\frac{-2}{7}[/tex]÷[tex](\frac{-2}{21}[/tex] ÷ [tex]\frac{1}{7} )[/tex]

[tex]\frac{-2}{7}[/tex] ÷[tex](\frac{-2}{21} X\frac{7}{1} )[/tex]

[tex]= \frac{-2}{7} X \frac{-3}{2}[/tex]

[tex]=\frac{3}{7}[/tex]

He multiplied the denominator and numerator.

(e)

[tex]\frac{-1 \frac{1}{2} }{1\frac{2}{3} } \\\\=\frac{\frac{3}{2} }{\frac{5}{3} } \\\\=\frac{3}{2} X \frac{3}{5} \\\\=\frac{9}{10}[/tex]

(f) [tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{-3}{4} X \frac{5}{2} =\frac{-15}{8}[/tex]

0.75÷0.4 = 1.875

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{3}{4} X \frac{-5}{2} =\frac{-15}{8}[/tex]

(g)

Reciprocal of [tex]-1\frac{1}{17} = \frac{-17}{18}[/tex]

Reciprocal of [tex]\frac{-17}{18} = \frac{-18}{17}[/tex]

The above expressions are multiplicative inverse as [tex]\frac{-17}{18} X \frac{-18}{17} =1[/tex]

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Darcy requires 24.14 gallons of paint to cover an area of 2716 feet².

Length of the house = 35 feet

width of the house = 28 feet

Height of the house = 6 feet

Total surface area = 2 l b + 2 b h + 2 h l

A = 2 (35) (28) + 2 (28) (6) + 2 (6) (35)

A = 1960 + 336 + 420

A = 2716 feet²

If he uses 2 coats of stain, the area he need to cover = 2 (2716) = 5432 feet²

Gallon of paint required = 5432 / 225 = 24.14 gallons.

Therefore, Darcy requires 24.14 gallons of paint to cover an area of 2716 feet².

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Step-by-step explanation:

completing the square means finding an expression

(x + a)² = b²

or

(x - a)² = b²

(x + a)² = x² + 2ax + a²

(x - a)² = x² - 2ax + a²

because of the "+ 18x" in the original equation we know that we are looking for (x + a)².

now, let's compare the different terms :

x² = x²

18x = 2ax

18 = 2a

a = 9

so, the complete square would look like

(x + 9)² = x² + 18x + 81

but we have only "+ 79" in the original equation.

so, we add the missing 2 (to both sides to keep the equation true)

x² + 18x + 79 + 2 = 0 + 2

x² + 18x + 81 = 2

(x + 9)² = 2

x + 9 = ±sqrt(2)

x1 = sqrt(2) - 9

x2 = -sqrt(2) - 9

x = sqrt(2) - 9, -sqrt(2) - 9

yes, every quadratic equation has 2 solutions.

as every cubic equation has 3 solutions.

and so on.

Answer:

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

We see the exterior angle measures given with one unknown.

Recall the sum all exterior angles of a polygon is 360°.

Set up equation and find the unknown value:

Answer: 80 degrees because a line is 180°.

So if you subtract

180 - 100 = 80°

Answer:

x=80°

Step-by-step explanation:

The measures of angle x and the 100° angle form a straight angle.

This straight angle is 180°.

You can subtract the measure of one angle from the whole to find the measure of the other angle.

180°-100°=80°

This means angle x is 80°.

Answer:

Can you provide more info? Like is there a graph that comes along with this question?

Step-by-step explanation:

If the polynomial function f(x)=(x+1)(x+3)9x-4) is rewritten in standard form, the degree would be  3  and the constant term would be 12 .

What is  polynomial function?

f(x)=(x+1)(x+3)9x-4)

f(x ) = 3x³ + 36x² + 27x - 4x² - 16x - 12

f(x) =  3x³ + 32 x² + 11x - 12

in above function highest degree would be 3 and constant -12 .

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.

Answer:

-1/5

y=-1/5 x-8

-1/5 is the slope

Step-by-step explanation:

-1/5

Formula-    y=mx+b

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite in slope-intercept form.

Simplify the left side

Simplify each term.

Combine 1/8 and x.

x/9+5y/8=-5

Subtract x/8 from both sides of the equation.

5y/8=-5-x/8

Multiply both sides of the equation by8/5.

8/5.5y/8=8/5(-5-x/8)

Simplify both sides of the equation.

Simplify the left side.

Simplify 8/5.5y/8

y=-x/5-8

y=-1/5 x-8

Step-by-step explanation:

Given equation:

1/8x + 5/8y =-5

Now write it in standard form like ax+by+c=0

1/8x + 5/8y + 5= 0

Now,slope of line (m) = -a/b

here value of a is 1/8 and value of b is 5/8

now by formula..

-(1/8)÷(5/8) = m(slope)

-1/8 × 8/5 = m

-1/5 = m

here ia your answer

If a delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.

Given:

Weight of the delivery person=160 lb

Weight of box of book=50 lb

Maximum capacity=1,000lb

Let b represent the number of boxes of books

Hence,

160+50b=1,000

Collect like terms

50b=1000-160

50b=840

Divide both side by

b=840/50

b=16.8 boxes of books

Therefore the maximum capacity of the elevator is 1000 lb. The number of boxes of books that the delivery person can bring up at one time is: 16.8 boxes.

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Answer: f(-7)=41

Step-by-step explanation:

f(x) = x² + 2x + 6

f(-7)=(-7)² + 2(-7) + 6

f(-7)=49-14 + 6

f(-7)=35 + 6

f(-7)=41

Answer:

f(-7) = 41

Step-by-step explanation:

f(x) = x² + 2x + 6

In order to find f(-7) ,we just need to substitute x in the expression of the function f by -7.

Then

f(-7) = (-7)² + 2(-7) + 6

      = 49 - 14 + 6

      = 35 + 6

      = 41

Jack spends 300 minutes in two weeks riding his skateboard to and from his friend's house Monday through Friday.

Time taken by Jack to ride his skateboard down the hill to his friend's house = 10 minutes

Time taken by Jack to ride his skateboard up the hill to his friend's house = 20 minutes

Total time combined = 30 minutes

Total days in a week Monday through Friday= 5 days

Total days in 2 weeks = 10 days

Therefore, time spent by jack riding his skateboard up and down the hill to his friend's house in two weeks Monday through Friday  = 10*30 = 300 minutes

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Step-by-step explanation:

I think the answer is just no solution to begin with since the value of an absolute value will never be a negative number or in this case less than -2. therefore the equation is false

Answer:

[tex]x=27, \quad x= \dfrac{1}{27}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{3.7 cm}\underline{Logs Laws}\\\\$\log_ba=\dfrac{\log_ca}{\log_cb}$\\\\\\$\log_ab=c \iff a^c=b$\\\end{minipage}}[/tex]

Given equation:

[tex]\log_3x=9\log_x3[/tex]

Change the base of  9logₓ3  to base 3:

[tex]\begin{aligned}\implies \log_3x & =9\log_x3\\\\& =\dfrac{9\log_33}{\log_3x}\\\\&=\dfrac{9(1)}{\log_3x}\\\\&=\dfrac{9}{\log_3x}\end{aligned}[/tex]

Therefore:

[tex]\implies \log_3x=\dfrac{9}{\log_3x}[/tex]

[tex]\textsf{Let }\log_3x=u:[/tex]

[tex]\implies u=\dfrac{9}{u}[/tex]

[tex]\implies u^2=9[/tex]

[tex]\implies u=\pm3[/tex]

[tex]\textsf{Substitute back in }u=\log_3x:[/tex]

[tex]\implies \log_3x=\pm3[/tex]

Case 1

[tex]\implies \log_3x=3[/tex]

[tex]\implies 3^3=x[/tex]

[tex]\implies x=27[/tex]

Case 2

[tex]\implies \log_3x=-3[/tex]

[tex]\implies 3^{-3}=x[/tex]

[tex]\implies \dfrac{1}{3^3}=x[/tex]

[tex]\implies x=\dfrac{1}{27}[/tex]

Answer: x=3   x=1/27

Step-by-step explanation:

[tex]log_3x=9log_x3\\[/tex]

The area of acceptable values:

[tex]x > 0\ \ \ \ x\neq 1\\Hence,\\x\in(0,1)U(1,+\infty)[/tex]

Solution:

[tex]\displaystyle\\log_3x=\frac{9}{log_3x} \ \ \ \ \ \boxed{ log_ab=\frac{1}{log_ba} }\\\\Multiply\ both\ parts\ of\ the\ equation\ by\ log_3x :\\\\log^2_3x=9\\log^2_3x=3^2\\ log_3x=б3\\\\log_3x=3\\\\x=3^3\\x=3*3*3\\x=27\\\\\\log_3x=-3\\x=3^{-3}\\\displaystyle\\x=(\frac{1}{3})^3\\ x=\frac{1}{3}*\frac{1}{3}*\frac{1}{3} \\ x=\frac{1}{27}[/tex]

Answer:

At the 3rd day 160 students caught flu.

Step-by-step explanation:

Consider the provided model P = − t ² + 13t + 130 where 1 ≤ t ≤ 6

The total number of students is represents by P.

We need to find the day that 160 students had the flu.

Substitute the value of P=160 in above formula.

Hence the value of t=10 or t=3

But it is given that 1 ≤ t ≤ 6, Therefore select t=3

Hence, at the 3rd day 160 students caught flu.

Answer:

y=16

Step-by-step explanation:

11 = −5+y

Solve for Y

Add 5 to each side

11+5 = -5+y+5

16 = y

y=16

Answer:

B

Step-by-step explanation:

A number raised to a power represents a product where the same number is used as a repeated factor. The number is called the base and the power is given by the exponent. The base is the repeated factor and the exponent counts the number of factors. An exponent is that we are dealing with products and multiplication.

In the expression bn, b is the base and n is the exponent.

The Power Rule for Exponents: (am)n = am*n.

To raise a number with an exponent to a power, multiply the exponent times the power.

Negative Exponent Rule: x–n = 1/xn.

Invert the base to change a negative exponent into a positive.

Zero Exponent Rule: x0 = 1, for .

Any non-zero number raised to the zeroth power is 1.

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Answer:

5 year

3 inches every year 48 minus 32 equals 16 3 Inches divided into 16 equal 5.333333 round it equals 5 years y = 5 years

Answer:

What is the question so I can answer

The cost of Robert purchase of books after the paid tax is $32.66.

For the given question;

The original cost of the book purchased by the Robet = $30.45.

The tax of 7.25% is applied on the original cost of the book.

7.25% of $30.45 = (7.25×30.45)/100

7.25% of $30.45 = $2.21

The final cost of the book = original cost + tax

The final cost of the book = $30.45 + %2.21

The final cost of the book = 32.66

Therefore, the total price paid by the Robert for the book after 7.5% of the tax is applied is $36.66.

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The complete question is-

Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?

Exact Distance:   [tex]\sqrt{130}[/tex] units

Approximate Distance:  11.4018 units

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

Explanation:

Use the distance formula to have the following steps

[tex](x_1,y_1) = (3,-2) \text{ and } (x_2, y_2) = (-4,7)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-4))^2 + (-2-7)^2}\\\\d = \sqrt{(3+4)^2 + (-2-7)^2}\\\\d = \sqrt{(7)^2 + (-9)^2}\\\\d = \sqrt{49 + 81}\\\\d = \sqrt{130}\\\\d \approx 11.4018\\\\[/tex]

The exact distance is [tex]\sqrt{130}[/tex] units

This approximates to about 11.4018 units.

Answer:

£124

Step-by-step explanation:

first of all, you're meant to add all the figures given on the pie chart, which is 29+137+58+62+74 and that will give you a total of 360 degrees

so, you say 360 degrees is equal to the total amount of money he spent, which is £720, what about 62 degrees

therefore, you just do (62×720)÷360

that will give you £124

Answer:

9.6*10^-12

Step-by-step explanation:

To calculate this, you will do the mass of 2 times 10^(-12) gram. So, 2*(10)^-12. Then we know 30 hours = 480,000,000 bacteria.

So now now you calculate the mass, 480,000,000 * 2(10)^-12 which gives you 9.6*10^-4.

Sorry if it sounds confusing! I hope this helps, have a good day! :D

Answer: A=32 B=19

Step-by-step explanation:

First of all let me tell you UPSC is the body which conducts the civil services examination in our country. To prepare for the civil services you must know it is the highest offered post by the government to an citizen of India.

You have many subjects in order to complete the syllabus of civil services.

The examination takes place in two parts. In the first part there are multiple choice questions and in the second part there are subjective questions which must be answered in a descriptive format.

The candidate also has to face interview after clearing both the examinations.

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The square of the equation 2[tex]x^{2}[/tex] – 12x – 20=0 is

What is a quadratic equation?

A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0.

a[tex]x^{2}[/tex]+bx+c , a, b, c are integers .

formula: −b±√b2−4ac/2a

Given equation ,

2[tex]x^{2}[/tex] -12x-20=0

By comparing with the quadratic equation

Here, a=2, b= -12, c= -20.

X=−b±[tex]\sqrt{b^2-4ac}[/tex]/2a

X= -(-12) + [tex]\sqrt{(-12)2-4(2)(20)}[/tex] /2(2)

X=12+-  [tex]\sqrt{144-160}[/tex]/4

X=12+- [tex]\sqrt{-16}[/tex]/4,

X=12+- (-4)/4

X=12+(-4)/4 and x=12-(-4)/4

X= 12-4/4 and x=12+4/4

X=8/4 and x= 16/4

X=2 and x= 4

Therefore, the square of the equation 2x2-12x-20=0 is x= 2 and x=4.

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