A student bought a book for $7 and a pen. The total cost was $9. Which of the following equations can be used to find the cost of the pen? ​

The total distance of the race is D = 96 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let's denote the total distance of the race as "d" miles.

According to the given information, Mark ran half the distance and swam a quarter of the distance. This can be expressed as:

Distance Mark ran = d/2 miles

Distance Mark swam = d/4 miles

After Mark's quick break, he was just starting to bike the remaining 24 miles. Since he has already completed running and swimming, the total distance he has covered at that point is:

And this distance is equal to 24 miles, as given in the problem:

d/2 + d/4 + 24 = d

On simplifying the equation , we get

( 3/4 )d + 24 = d

Subtracting ( 3/4 )d on both sides , we get

( 1/4 )d = 24

Multiply by 4 on both sides , we get

d = 96 miles

Hence , the total distance of the race, denoted by "d", is 96 miles

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Answer:

900

.........................

Answer:

900

Step-by-step explanation:

30 square is like 30×30=900

Answer:

36

Step-by-step explanation:

Replace the 2b with 10 and then do the parenthesis, so 10-4=6

now multiply it with the 6 outside the parenthesis and you get 36

Hi! I'm happy to help!

First of all, we need to substitute b into the expression.

6(2b-4)

6((2×5)-4)

Now we use the order of operations, or PEMDAS (Parenthesis, Exponents, Multiplication or Division, and Addition or Subtraction) to finish simplifying.

We see that 2×5 is inside two sets of parenthesis, so we solve that first

6((2×5)-4)

6((10)-4)

We cam remove the extra set of parenthesis because there isn't an expression inside of it any more.

6(10-4)

Now, we look inside of the parenthesis again and we see 10-4

6(10-4)

6(6)

The six next to the parenthesis has no sign next to it, which means to multiply.

6×(6)

Now we can remove the parenthesis.

6×6

Now, we just simply multiply.

6×6

36

To sum it up: The value of 6 (2b-4) When b=5 is 36

I hope this was helpful, keep learning! :D

Answer:

I haven't learned matrix sorry

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{5}{6}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:13

Step-by-step explanation:

Answer:

∠ LMN = 65° , ∠ PQR = 25°

Step-by-step explanation:

Complementary angles sum to 90°

∠ LMN + ∠ PQR = 90° , that is

8x + 1 + 2x + 9 = 90

10x + 10 = 90 ( subtract 10 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

Then

∠ LMN = 8x + 1 = 8(8) + 1 = 64 + 1 = 65°

∠ PQR = 2x + 9 = 2(8) + 9 = 16 + 9 = 25°

Answer:

418

Step-by-step explanation:

2) 836 = 836/2

=418

•°•2) 836=418

Answer:

836/2=418,Hope it helps.

Answer:

help

Step-by-step explanation:

Answer:

a)660

b)135

Step-by-step explanation:

a)200+25+135+300=660

b) 135 because since 135 do not have telephone, they will have mobile instead.

Hope this helps! Thanks.

Answer:

yes it is a rational number..

Answer:

0.567 X 10

Step-by-step explanation:

5.67 in standard form is 0.567

Answer:

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Step-by-step explanation:

Let us have x liters of the .7 mixture and y liters of the .6 mixture.

We want total liters to be 3.5 which means we need x+y=3.5 . I don't like the decimal in the equation so I'm going to multiply both sides by 10: 10x+10y=35

We also need the .7x+.6y=.62(3.5) . I hate the decimal business going on in this question so I'm going to multiply by 1000 which gives 700x+600y=62(35) .

So we have the system

700x+600y=62(35)

10x+10y=35

I'm going to setup this up for linear combination/elimination.

Multiply bottom equation by 60.

700x+600y=62(35)

600x+600y=60(35)

Subtract equations (bottom from top):

(700-600)x+(600-600)y=35(62-60)

Simplify:

100x+0y=35(2)

100x=70

Divide both sides by 100:

x=70/100

x=7/10

Going back to x+y=3.5 along with x=7/10 or .7 liters to find y.

y=3.5-x with x=.7

y=3.5-0.7

y=2.8

The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.

Pic added.

Another way to do problem:

.7x+.6(3.5-x)=.62(3.5)

Multiply and distribute:

.7x+2.1-.6x=2.17

Combine like terms on left:

.1x+2.1=2.17

Subtract 2.1 on both sides:

.1x=.07

Multiply both sides by 10:

x=0.7 liters

Now the other acid solution is 3.5-0.7 which is 2.8 litera.

Answer:

Step-by-step explanation:

53+26+15=94

94-100=6

So I'm just gonna assume that 6% of people prefer to watch soccer.

Now to solve how many people out of 1000 would watch soccer we'd have to multiply 1000 by 0.09 which gives us 90.

So 90 people out of 1000 would prefer to watch soccer.

Answer:

The area is 7.5 square units

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) to the left or shift it up

Part B

f(x+k) for a shift to the left

f(x) + k for a shift up

Part C

Looking at shifting f(x) to g(x) by going left, we are shifting 6 units to the left

f(x+6) will shift f(x) 6 units to the left

g(x) = f(x+6)

We can all shift f(x) up, we can shift up 18 units

f(x) +18 will shift the function up 18 units

g(x) = f(x) +18

Answer:

GH = 9

Step-by-step explanation:

FH=FG+GH

21= 12+GH

GH = 21-12 =9

I hope I helped you^_^

Answer: to the nearest tenth i believe, 6.8

Step-by-step explanation:

The round off should be ones place.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

Given:

20÷3

The resulting value is 6.666666667.

So, divide the money it should be round off to ones place to get a whole number which can make it easy to divide.

Hence, the round off should be ones place = 7

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Answer:

the answer is in picture

Answer:

The value of s=10

Step-by-step explanation:

11+(-1)=10

You're a square !!!1!!!!!!!!11

Answer:

For parallel:

gradient is 1/5

[tex]y = mx + c[/tex]

consider (5, -2):

[tex] - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3[/tex]

[tex]{ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}[/tex]

For perpendicular:

gradient, m1:

[tex]m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5[/tex]

gradient = -5

[tex]y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23[/tex]

[tex]{ \boxed{ \bf{equation :y = - 5x + 23 }}}[/tex]

Answer:

Parallel: [tex]y=\displaystyle \frac{1}{5}x-3[/tex]

Perpendicular: [tex]y=-5x+23[/tex]

Step-by-step explanation:

Hi there!

What we must know:

Finding the Parallel Line

[tex]y=\displaystyle \frac{1}{5} x-3[/tex]

Given this equation, we can identify that its slope (m) is [tex]\displaystyle \frac{1}{5}[/tex]. Because parallel lines always have the same slope, the slope of the line we're currently solving for would be [tex]\displaystyle \frac{1}{5}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle \frac{1}{5}x+b[/tex]

Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:

[tex]-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b[/tex]

Therefore, the y-intercept is -3. Plug this back into [tex]y=\displaystyle \frac{1}{5}x+b[/tex]:

[tex]y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3[/tex]

Our final equation is [tex]y=\displaystyle \frac{1}{5}x-3[/tex].

Finding the Perpendicular Line

[tex]y=\displaystyle \frac{1}{5} x-3[/tex]

Again, the slope of this line is [tex]\displaystyle \frac{1}{5}[/tex]. The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

To find the y-intercept, plug in the point (5,-2) and solve for b:

[tex]-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b[/tex]

Therefore, the y-intercept is 23. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+23[/tex]

Our final equation is [tex]y=-5x+23[/tex].

I hope this helps!

Answer:

(c)

Step-by-step explanation:

for the volume of a box all three dimensions must be multiplied with each other to create a cubic result.

3x²y × 4y²z × 5z²x

we need to combine the elements belonging to each other = that can be combined for simplification :

the constants, the x, the y and the z.

3×4×5 = 60

x²×x = x³

y×y² = y³

z×z² = z³

so, in total, that multiplication result is

60x³y³z³

therefore, (c) is the right answer

Answer:

volume of a retagular box whose adjacent egged 3x²y , 4y²z and 5z²x respectively is

( C ) 60x³y³z³

Step-by-step explanation:

hope it's help

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Answer:

72

Step-by-step explanation:

5,9,15,21,26,34,43,47,50,55,63,72

Answer: it's 72

ok!! hope it helps

Answer:

x = w / 57r is the answer

Answer:

plz mark me as brainlist

Step-by-step explanation:

b)JK and KL

Answer:

JK AND KL

Step-by-step explanation: