During a vacation together bob spent twice as much as Josh who spent four times as much as Ralph. If Bob and Ralph together spent $180 how much did josh spend

Answer:

Add 5 to both sides.

Step-by-step explanation:

3.7 = x + (-5)

3.7 + 5 = x + ( -5) + 5

5 cancels on the right

8.7 = x

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3.7=x+(-5).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 3.7=x-5

Add 5 to both sides of an equation, we get

3.7+5=x-5+5

x=8.7

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

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Answer:

y = [tex]\frac{1}{x}[/tex]

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 3 when x = [tex]\frac{1}{3}[/tex] , then

3 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )

3 × [tex]\frac{1}{3}[/tex] = k

1 = k

y = [tex]\frac{1}{x}[/tex] ← equation of variation

Answer:

Rational number

Step-by-step explanation:

Rational is the only one that repeat.

Answer:

x⁴-32x³+384x²-2048x+4100

Step-by-step explanation:

f(g(x))= g(x)⁴+4

and simplify it

answer:

A.7/5 is the correct answer because numerator is more than denominator.

thank me plz

Answer:

the answer is A

Step-by-step explanation:

Answer:

GCF-12

Step-by-step explanation:

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12

Answer: The GCF is 12

Step-by-step explanation:

84=2*2*3*7

120=2*2*2*3*5

So, the GCF is 2*2*3=12

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So there are five candy bars.

Herself and two sisters equals 3 people in total.

This is a graph of 5 candy bars, each line being 1/2.

━ ━

━ ━

━ ━

━ ━

━ ━

If she ate half of one... the graph would become this.

━ ━

━ ━

━ ━

━ ━

━

Now there are 9 halves. You need to split the 9 halves for 3 people. 9 divided by 3 is 3.

Each person gets 3 halves, or 1 and 1 half.

Mai: ━ ━ ━

Sister 1: ━ ━ ━

Sister 2: ━ ━ ━

Altogether that is 9 halves, AKA the number of halves Mai had after she ate 1/2.

The amount Mai ate in the first place: ━

9 halves plus 1 half, equals 10 halves. Each whole has 2 halves. 10 divided by 2 is 5, AKA the number of candy bars she had in the first place.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

Option 3

Step-by-step explanation:

AX and XB are congruent because we know that CD is a perpendicular bisector of AB.

The word "bisector" indicates that AB is cut into two equal parts, which allows us to make that claim.

<AXC≅<BXC because they are both equal to 90 degrees. This is because perpendicular means that the two lines are meeting at a 90-degree angle. Since both of them are 90 degrees, they are congruent.

Lastly, we know that XC ≅ XC since they are the same side.

With that in mind, we are able to prove that triangle AXC and BXC are congruent by SAS or side angle side. (The angle is between the two sides)

The correct choice would be option 3.

Answer: [tex]3x^6+x^5-x^4-6x^3+x^2+3x-1[/tex]

Step-by-step explanation:

 (3x^2+x-1)(x^4-2x+1)

=3x^6-6x^3+3x^2+x^5-2x^2+x-x^4+2x-1

=3x^6+x^5-x^4-6x^3+x^2+3x-1

Hope this helps!! :)

Please let me know if you have any question

Answer:

the thing below xd

Step-by-step explanation:

[tex](3x^{2} +x-1)(x^4-2x+1)\\\\=3x^2(x^4-2x+1)\\+x(x^4-2x+1)\\-1(x^4-2x+1)\\\\=3x^6-6x^3+3x^2\\+x^5-2x^2+x\\-x^4+2x-1\\\\=3x^6+x^5-x^4-6x^3+(3-2)x^2+(1+2)x-1\\\\=3x^6+x^5-x^4-6x^3+x^{2} +3x-1[/tex]

Answer:

5.5

Step-by-step explanation:

The lowest temperature ever recorded on Earth is =-94.7

Before this date, the previous record was at= -89.2

the difference between these two extreme temperatures=-89.2-(-94.7)

                                                                                              =-89.2+94.7

                                                                                              =5.5

The difference between these two extreme temperatures is 5.5

Answer:

El costo es:

Primero tenemos un cargo fijo de $140.

Luego tenemos un $25 por cada m^3 consumido.

Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:

C(x) = $140 + $25*x.

Esto es una relación linear.

A) En este caso tendríamos x = 140

C(140) = $140 + $25*140 = $3640

B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.

C) El grafico estará al final.  En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.

D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.

Answer: KE= 900,000t^2

Step-by-step explanation:

Answer:

√2, pi.

Step-by-step explanation:

An irrational number cannot be written as a fraction a/b where a and b are integers ( not = 0)..

Answer:

4x+2=22

4x+2-2=22-2

4x=20

4x/4=20/4

x=5

Answer:

1) 85+(-96)=-11

2) 86+(-38)=48

3) 22+(-41)=-19

Step-by-step explanation:

1)

Here you are adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.

Think about it like 96-85=11, but it was flipped so negative 11.

-11

2)

86+(-38) is the same as 86-38

48

3)

Here you are also adding a negative to a positive. The if you were to take the absolute value of the negative number it would be greater than that of the positive.

Think about it like 41-22=19, but it was flipped so negative 19.

-19

Hope this is helpful :-)

Answer:

[tex]5x= 15[/tex]

Step-by-step explanation:

Given

[tex]3x - 5 = -2x +10[/tex]

Required

Write the variables and constants on different sides

[tex]3x - 5 = -2x +10[/tex]

Add 2x to both sides

[tex]2x + 3x - 5 =2x -2x +10[/tex]

[tex]5x - 5 =10[/tex]

Add 5 to both sides

[tex]5x - 5 + 5 = 10 + 5[/tex]

[tex]5x= 10 + 5[/tex]

[tex]5x= 15[/tex]

Hence, the equation is

[tex]5x= 15[/tex]

Solving further [divide both sides by 5]

[tex]x = 3[/tex]

I think it is -5=x

Step-by-step explanation:

Answer:

It will change the x by -1 and the y by +6

Step-by-step explanation:

Translating is sliding a shape up or down, thus coordinates will be changed

Answer:

We have this equation:

[tex]3(y+3)+7(2y-8)-(y-1)=0​[/tex]

First, we do the parenthesis:

[tex]3y+9+14y-56-(y-1)=0\\[/tex]

When there is a minus (-) in front of a parenthesis, all signs change inside it:

[tex]3y+9+14y-56-y+1)=0\\[/tex]

Now we operate:

[tex]16y-46=0[/tex]

We add 46 on both sides:

[tex]16y - 46 + 46 = 0 +46[/tex]

[tex]16y = 46[/tex]

And divide 16 on both sides:

[tex]\frac{16y}{16}=\frac{46}{16}[/tex]

[tex]\bol{x = \frac{46}{16}}[/tex] = [tex]\frac{23}{8}[/tex]

Answer:

Step-by-step explanation:

3(y+3)+7(2y-8)-(y-1)=0​

3y + 9 + 14y - 56 - y + 1 = 0

16y - 46 = 0

16y - 46 + 46 = 0 + 46

16y = 46

16y/16 = 46/16

y = 23/8

Answer:

X = 5

Step-by-step explanation:

3x + 12 + 9x = 72

okay hopefully i can explain so when your doing this combine like terms so

3x + 9x = 12x

12x + 12 = 72

then you would subtract both sides by 12

+12 = subtract x+12=2

- 12 = add x-12=2

there just flipped so in this case i would subtract 12

12x + ( 12-12) = ( 72-12 )

so 12-12 = 0 and 72-12 is equal to 60

12x = 60

the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5

so X = 5

hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps

Answer:

The first one is a linear function with the slope of 3 with no shift. the second is a vertical line on the 2 of the x axis. the third is a horizontal line on the -3 of the y axis.

Answer:

5.48

Step-by-step explanation:

Given length of three strings:

[tex]\text{Length of first string}, L_1=7.68\ inches\\\text{Length of second string}, L_2=3.9\ inches\\\text{Length of third string}, L_3=2.2\ inches[/tex]

To find:

The difference in length between the longest and the shortest string?

Solution:

First of all, let us compare the given three decimal numbers.

We check the number before decimal first of all.

We can see that the numbers are 7, 3, and 2.

7 being the largest [tex]L_1[/tex] is the longest string.

2 being the smallest [tex]L_3[/tex] is the shortest string.

So, the difference is:

[tex]L_1-L_3=7.68-2.2\\\Rightarrow \bold{L_1-L_3=5.48 }[/tex]

So, the answer is 5.48.

Answer:

a = - 1

Step-by-step explanation:

Given the points are equidistant from A then AP = AQ

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = P(3, - 3)

AP = [tex]\sqrt{3-0)^2+(-3-a)^2}[/tex] = [tex]\sqrt{3^2+(-3-a)^2}[/tex] = [tex]\sqrt{9+(-3-a)^2}[/tex]

Repeat with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = Q(- 2, 2)

AQ = [tex]\sqrt{(-2-0)^2+(2-a)^2}[/tex] = [tex]\sqrt{(-2)^2+(2-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex]

Equating AP and AQ

[tex]\sqrt{9+(-3-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex] ( square both sides )

9 + (- 3 - a)² = 4 + (2 - a )² ← expand parenthesis on both sides

9 + 9 + 6a + a² = 4 + 4 - 4a + a² ( subtract a² - 4a from both sides )

18 + 10a = 8 ( subtract 18 from both sides )

10a = - 10 ( divide both sides by 10 )

a = - 1

The value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

A(0,a) is equidistant from P(3,-3) and Q(-2,2).

It is required to find the value of a:

Using the distance formula:

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AP = AQ

[tex]\rm \sqrt{(3-0)^2+(-3-a)^2} = \sqrt{(-2-0)^2+(2-a)^2}[/tex]

After simplification:

9 + (3 + a)² = 4 + (2 - a)²

9 + 9 + 6a + a² = 4 + 4 - 4a + a²

18 + 10a = 8

10a = - 10

a = - 1

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

Thus, the value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1

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Answer:

the average cost if you go to ten classes plus the 200 plus 100 it will equal 300

Step-by-step explanation:

200 annual fee then 10+10+10+10+10+10+10+10+10+10 equal 100   so 200+100 equal 300 for the 10 classes plus the annual fee.

Answer:

Volume of a cylinder=1/2πr^2h.

1/2×3.142×10^2×5.

1/2×3.142×100×5.

1/2×1571

=785.5

Answer:

About 1570.8

Step-by-step explanation:

Start by looking at the equation for solving a cylinder, which is V = π x r² x h. Since r = radius (5) and h = height (10), you add those numbers into the equation. Now you have to solve V = π x 5² x 10, which will get you your repeating decimal of 1570.79633...which then can be rounded your answer of 1570.8.

Answer:

Step-by-step explanation:

1). [tex]a^{3}\times a^5=a^8[/tex]

2). [tex](a^3)^3[/tex] = [tex]a^{9}[/tex]

3). [tex]\frac{a^{10}}{a^3}=a^{10-3}=a^7[/tex]

4). [tex]\frac{a^2}{a^7}=\frac{1}{a^{7-2}}=\frac{1}{a^5}[/tex]

5). [tex]\frac{a^5\times a^2}{a^7}=\frac{a^{5+2}}{a^7}=1[/tex]

6). [tex]\frac{16a^5b^3}{8a^2b}=(\frac{16\times 5}{8})(\frac{a^5}{a^2})(\frac{b^3}{b})[/tex]

              [tex]=\frac{80}{8}(a^{5-2})(b^{3-1})[/tex]

              = 10a³b²

7). [tex]\frac{2a^3b^3}{2b^2}=(\frac{2}{2})(a^3)(\frac{b^3}{b^2})[/tex]

             = a³b

8). [tex](\frac{a^{-8}}{b^{11}})^{-2}=(\frac{b^{11}}{a^{-8}})^2[/tex]

                 [tex]=(b^{11}a^8)^2[/tex]

                 = [tex]a^{16}b^{22}[/tex]

9). [tex]\frac{(2a^3)(a^4)^2}{8a^{11}}=(\frac{2}{8})(\frac{1}{a^{11-3}})(a^4)^2[/tex]

                   [tex]=\frac{1}{4}(\frac{a^8}{a^8})[/tex]

                   [tex]=\frac{1}{4}[/tex]

10). [tex]\frac{5a^7b^2}{15a^{10}b^{-3}}=(\frac{5}{15})(\frac{a^7}{a^{10}})(b^{2+3})[/tex]

                   [tex]=\frac{1}{3}(\frac{b^5}{a^3} )[/tex]

                   [tex]=\frac{b^5}{3a^2}[/tex]

11). 3a⁰ = 3(1) = 3

12). (a²b)⁴ = (a²)⁴(b)⁴

                = a⁸b⁴

Answer:

6

Step-by-step explanation:

The opposite of -3 is 3. Opposite numbers are numbers that when added, sum to 0. The distance between 3 and -3 is |3 - (-3)| = |3 + 3| = |6| = 6.

Answer:

14 years

Step-by-step explanation:

To find the answer you have to use the formula to calculate time:

t=(1/r)(A/P-1), where:

t=time

r=rate of interest=4.6%

A=accrued amount=$328.80

P=principal amount=$200

t=(1/0.046)*(328.80/200-1)

t=21.74*(0.644)

t=14

According to this, the answer is that she opened the bank account 14 years ago.

Answer:

100 minuets aka 1 hour and 40 minuets

Step-by-step explanation:

It would be 100 because 500÷5=100

Answer:

Step-by-step explanation:

[tex]8+9\div3\times6-5\\= 8+9\div \:3\times \left(6-5\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(6-5\right)\::\quad 1\\=8+9\div \:3\times \:1\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\div \:3\times \:1\::\quad 3\\=8+3\\\\= 11[/tex]

[tex]5+3-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=5+3-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:5+3-2-2\::\quad 4\\=4[/tex]

[tex]\left(5+3\right)-8\div \:4-2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5+3\right)\::\quad 8\\=8-8\div \:4-2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:8\div \:4\::\quad 2\\=8-2-2\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-2-2\::\quad 4\\=4[/tex]