jun swims 18 laps and Mara swims 25 laps. How many fewer laps did Jun swim than Mara ?

Answer: (12, 5)

Step-by-step explanation:

3x + 2y = 46 x + y = 17

Subtract y from both sides of the equation.

x = 17 − y 3x + 2y = 46

Replace all occurrences of x with 17 − y in each equation.

   51 − y = 46

x = 17 − y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

Subtract 51 from both sides of the equation.

   −y = 46 − 51

   x = 17 − y

Subtract 51 from 46.

   −y = −5

   x = 17 − y

Multiply each term in −y = −5 by −1

Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1

   x = 17 − y

Multiply (−y) ⋅ −1.

   y = (−5) ⋅ −1

   x = 17 − y

Multiply −5 by −1.

y = 5

x = 17 − y

Replace all occurrences of y with 5 in each equation.

Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)

y = 5

Simplify 17 − (5).

Multiply −1 by 5.

x = 17 − 5

y = 5

Subtract 5 from 17.

x = 12

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(12, 5)

The result can be shown in multiple forms.

Point Form: (12, 5)

Equation Form: x = 12, y = 5

Answer:

Step-by-step explanation:

Step-by-step explanation:

3√(x - 4) + 7 = -14

3√(x - 4) = -21 (subtract 7 from both sides)

√(x - 4) = -7 (divide 3 on both sides)

However √y is non-negative for all values of y in the domain of √y.

Hence there is no real solution for x.

Answer:

285,600

Step-by-step explanation:

I calculated it I am pretty sure I am correct

Answer:

110

Step-by-step explanation:

I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.

Answer: 1/15

Step-by-step explanation:

The number of striped socks is 2 while the number of total socks are 6. If he chooses a striped socks at first, that will be 2/6.

If he chooses it the second time, the probability will be 1/5 since there'll be 5 socks left and 1 striped.

The probability that Derek selected a striped sock both times will be:

= 2/6 × 1/5.

= 2/30

= 1/15

Answer:

3x^2+6x

Step-by-step explanation:

the 3rd one

Answer:

64m2+2m+255

Step-by-step explanation:

129 million I took the application already

Answer:

im not sure but i think 3

Step-by-step explanation:

Answer:

y=4/5x -5

Step-by-step explanation:

the slope is x and x is on the point -5. and d

to find the y-intercept you do rise/run

Answer:

x = [tex]\frac{3}{2} , -5[/tex]

Step-by-step explanation:

We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]

Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.

2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:

[tex]x+5 = 0\\x = -5[/tex]

Therefore, -5 is a root as well.

The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.

Answer:

The answer is 648 miles.

Step-by-step explanation:

936miles= 13 hours

? = 9 hours

936/ 13 = 72

72miles in 1 hour

72 x 9 = 648

648 miles in 9 hours

Complete question : Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other. The speed of the slow hiker is nothing ​mph, and the speed of the fast hiker is nothing mph.

Answer:

2.2 mph ; 4.4 mph

Step-by-step explanation:

Given that :

Total distance apart = 33

Time taken = 5 hours

Rate of slow hiker = x

Rate of fast hiker = x + 2.2

Speed (rate) = distance / time

Distance = speed * time

Distance covered by fast hiker + distance covers by slow hiker

(x + 2.2)*5 + 5x = 33

5x + 11 + 5x = 33

10x = 33 - 11

10x = 22

x = 22 / 10

x = 2.2

Rate of slow hiker = 2.2 mph

Rate of fat hike = x + 2.2 = 2.2 + 2.2 = 4.4 moj

Answer:B and D yes, A and C no

Step-by-step explanation:

pls brainliest

Answer:

c

Step-by-step explanation:

Answer:

The answer is C. She saves $150 every month

Step-by-step explanation:

Answer:

129.05 is your answer.

Step-by-step explanation: Final price: $129.05

Saved amount: $15.95

Answer:

[tex]10^7[/tex]

Step-by-step explanation:

There are [tex]7[/tex] zeroes in the number [tex]10,000,000[/tex]. Therefore, [tex]10,000,000[/tex] can be written as [tex]\fbox{$10^7$}[/tex].

*Any number written as [tex]10^n[/tex] will be equal to [tex]1[/tex] followed by [tex]n[/tex] zeroes.

Answer:10^7

Step-by-step explanation:

Answer:

[tex]x=55 \textdegree[/tex]

[tex]y=35 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Sum of two angle =90

First angle is 15 less than twice the measure of the second angle.

Generally interpreting mathematically we have

Let x be the first angle and second angle y

[tex]x=2y-15[/tex]

Therefore

[tex]2y-15 +y=90[/tex]

[tex]3y=105[/tex]

[tex]y=\frac{105}{3}[/tex]

[tex]y=35 \textdegree[/tex]

Therefore

[tex]x+35=90[/tex]

[tex]x=90-35[/tex]

[tex]x=55\textdegree[/tex]

Answer:

Domain: (-7, 4]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:

Interval Notation: (-7, 4]

Inequality Notation: -7 < x ≤ 4

Answer:

I am sure the answer is 36

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The correct corresponding part is;

[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])

Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC

Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]

Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]

Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to get the scale factor

we can use the coordinates of the vertices of the small image and the vertices of the large image to get this

We have;

(2,5) going on to give (6,15)

As we can see, the vertices of the small shape are multiplied by 3 to give that of the big shape

So also we can see for the other vertices

This means that the scales factor is 1 to 3

Answer:

opposite angles are congruent

Step-by-step explanation:

angle x and angle y are opposite angles

Answer:

it A ;)

Step-by-step explanation:

Answer:

What

Step-by-step explanation:

Answer:

Evaluating the piecewise function when X =3, we get f(3) = 7

Step-by-step explanation:

Given the following piecewise function

f(x)= { 2x+1; where x > 0

         -3 when x ≤ 0

Evaluate the function when X = 3

We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0

We can't use -3, because x ≤ 0, and 3 is not less than 0.

Now, evaluating the function:

[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]

So, Evaluating the piecewise function when X =3, we get f(3) = 7