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3 years ago

Tom walks 3.15 km to the park. He then walks a further 350 m to the shop.

Mathematics

2 answers:

maxonik [38]3 years ago

6 0

Answer:

Step-by-step explanation:

3.15 km + 0.35 km = 3.50 km

Phoenix [80]3 years ago

3 0

Answer: 3.5 Kilometers

Step-by-step explanation:

350 meters = 0.35 kilometers

3.15 + 0.35 = 3.5 Kilometers

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Simplify the expression below.<br> 12b + 86 + 5b<br> 0 25 + b<br> O 25(3b)<br> 25b<br> 3b

Alja [10]

(1): "^-5" was replaced by "^(-5)". 3 more similar replacement(s)

STEP

Equation at the end of step 1

((25•(b-1))•(c-3))

(((12•(b4))•(c-6))•——————————————————)•((2•5b(-5))•c)

((15•(b3))•(c4))

STEP

Equation at the end of step

((25•(b-1))•(c-3))

(((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)

((3•5b3)•c4)

STEP

Equation at the end of step

(52b(-1)•c(-3))

(((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)

(3•5b3c4)

STEP

52b(-1)c(-3)

Simplify ————————————

(3•5b3c4)

Dividing exponential expressions :

4.1 b(-1) divided by b3 = b((-1) - 3) = b(-4) = 1/b4

Dividing exponential expressions :

4.2 c(-3) divided by c4 = c((-3) - 4) = c(-7) = 1/c7

Dividing exponents:

4.3 52 divided by 51 = 5(2 - 1) = 51 = 5

Equation at the end of step

(((12•(b4))•(c-6))•—————)•(2•5b(-5)c)

3b4c7

STEP

Equation at the end of step

(((22•3b4) • c(-6)) • —————) • (2•5b(-5)c)

3b4c7

STEP

Canceling Out :

6.1 Canceling out b4 as it appears on both sides of the fraction line

Dividing exponential expressions :

6.2 c(-6) divided by c7 = c((-6) - 7) = c(-13) = 1/c13

Canceling Out:

6.3 Canceling out 3 as it appears on both sides of the fraction line

Equation at the end of step

——— • (2•5b(-5)c)

c13

STEP

Multiplying exponents:

7.1 22 multiplied by 21 = 2(2 + 1) = 23

Multiplying exponents:

7.2 51 multiplied by 51 = 5(1 + 1) = 52

Dividing exponential expressions :

7.3 c1 divided by c13 = c(1 - 13) = c(-12) = 1/c12

Final result :

200

—————

b5c12 Answer:

Step-by-step explanation:

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3 years ago

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stiks02 [169]

Where is the graph? It says choose the correct graph...

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3 years ago

NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

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Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

Read 2 more answers

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babymother [125]

7(x + 2) = 6(x + 5)

7x + 14 = 6x + 30 |subtract 14 from both sides

7x = 6x + 16 |subtract 6x from both sides

x = 16

3 0

3 years ago

Help me with my math ASAP!!!!

almond37 [142]

Answer:

$f$ = 78

$g$ = 3.5

Step-by-step explanation:

First we need to find $f$ .

We can use the equation $72 + (f + 30) = 180$ to solve for $f$ .

We can then change that equation to $72 + f + 30 = 180$ , since the Commutative Property of Addition says that you can have any addition in any order.