You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 15 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, y, when your friend swims x number of minutes. You swim 55 minutes. How many minutes did your friend swim?

Answers

Answer 1

Answer:

y=x+15

Friend swims 40 minutes

Step-by-step explanation:

We  re told that you want to swim 15 minutes longer than your friend. In word problems, longer or more always means addition. This means we will add 15 minutes to your friend's swim time (x) so we can figure out how long you swam (y).

This gives us the equation: y=x+15

Part two:

We know that you swam 55 minutes. This means y=55.

55=y=x+15

55=x+15

Now we want to get x alone, or isolate it. We can do this by subtracting 15 from both sides.

55-15=x+15-15

15-15= 0 and 55-15= 40

40=x

Thus your friend swam 40 minutes

(Remember that whatever you do to one side of the equation, you have to do to the other. If you add 2 to the left hand side, you have to add 2 to the right hand side. If you, like we did above, subtract 15 from the right, you have to subtract 15 from the left too)


Related Questions

how can i work out the value of this?

Answers

Answer:

ap.ply the r.ule of expo.nents !

( 3^7 × 3^-2 ) / 3^3

=> ( 3 ) ^ 7-2-3

=> ( 3 ) ^ 2

=> 9

hope that helps ✌

Factorise.. 25a sq. - 9b sq. please tell the answer​

Answers

Answer:

(5a + 3b)(5a - 3b)

Step-by-step explanation:

Given,

[tex] {25a}^{2} - {9b}^{2} [/tex]

[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]

Since,

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

Then,

= (5a + 3b)(5a - 3b) (Ans)

HEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:

5:30 PM

Step-by-step explanation:

35 mp ½ hour = 70 mph

245 miles ÷ 70 mph = 3½ hours

2PM + 3½ hours = 5:30 PM

3. What is the solution to the equation x3 = = 216

A. 72
B. 27
C. 8
D.6​

Answers

Answer:

I assume that the question is [tex]x^{3} = 216[/tex]

6 * 6 = 36    35*6 = 216

in other words 6*6*6 = 216

Step-by-step explanation:

A. 72
3x=216
x=216/3
x=72

solve the inequality and graph the solution

-5-7x < -40

Answers

Answer:

x > 5

Step-by-step explanation:

-5-7x < -40

Add 5 to each side

-5+5-7x < -40+5

-7x < -35

Divide by -7, remembering to flip the inequality

-7x/-7 > -35/-7

x > 5

Open circle at 5, going to the right

using trig to solve for missing angle

Answers

cos(30)=x/15
15cos(30)=x

Cos= adjacent/ hypotenuse

What is 4 1⁄2 cm in millimetres

Answers

Answer:

the answer is 205 millimeters

Answer:

205 millimeters.

Step-by-step explanation:

just is

In the diagram, the measure of angle 3 is 105°
Which angle must also measure 105°
1
4
6
8​

Answers

Answer:

the answer will be 1 on the basis of the option

Step-by-step explanation:

and other are 7 5

Fifteen years from now, Atli’s age will be 4 times his current age. What is his current age?

Answers

Answer:

he is three i think

Step-by-step explanation:

Can someone help me out

Answers

Answer:

34

Step-by-step explanation:

Perimeter,

2×(8+5+4)

= 34 units

Answered by GAUTHMATH

in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students​

Answers

Answer:

Step-by-step explanation:

150% = 150 ÷ 100 150% = 1.5

Dan was thinking of a number. Dan halves the number and gets an answer of 18.8. Form an equation with x from the information.

Answers

Answer:

[tex]\dfrac{x}{2} = 18.8[/tex]

Step-by-step explanation:

Let x represent the number Dan was thinking about.

Half of the number, x = 18.8

Therefore, when x is divided by 2, the result is 18.8

The equation which can be formed with the given information is therefore;

[tex]\dfrac{x}{2} = 18.8[/tex]

Consider the triangle
Which statement is true about the lengths of the sides?
6 C5
45
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length
O The sum of the lengths of two sides is equal to the
length of the third side.
45
search
BI
59°F Clear

Answers

Answer:

b

Step-by-step explanation:

The triangle is an isoceles triangle since there are 2 equal angles. Hence, 2 sides would be the same length. Since its a right angled triangle, the hypotenuse (third side) would always be longer than the 2 equal sides.  

¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2

Answers

Answer:

Hello,

m=2

(0,-3) True

(1,-1) True

(1.5,0) True

(-2,-2) False

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]


Find an expression which represents the sum of (-10x – 10y) and (-9x – 7y) in
simplest terms

Answers

Answer:

-19x - 17y

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(-10x - 10y) + (-9x - 7y)

Step 2: Simplify

Combine like terms (x):                                                                                        -19x - 10y - 7yCombine like terms (y):                                                                                        -19x - 17y

Which of the following is 1 2 over 4 in its simplest form?

Answers

Answer:

its 3

Step-by-step explanation:

3 is your answer I hope this help

Answer:

i don' know

Step-by-step explanation:

Given the circle, find the arc measure​

Answers

Answer:

130°

Step-by-step explanation:

8^x times 2^(4-x) = 1
Find x.
With detailed steps.

Answers

Answer: x= -1

Step-by-step explanation:

In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have

4x +4-x4x-x=13x+4-4 =1-43x/3 = -3/3x= -1Hope that helped!

for f (x)= -x + 8, what is the value of x for which f(x) = 9?

Answers

Answer:

x=-1

Step-by-step explanation:

f (x)= -x + 8

Let f(x) = 9

9 = -x+8

Subtract 8 from each side

9-8 = -x+8-8

1 = -x

Multiply each side by -1

-1 = x

kendra is 3 times her duahters age plus 7myears kendra is 49 years old. write an equation to find her duaters age

Answers

Answer:

Kendra's daughter is 14 years old.

Step-by-step explanation:

If I'm reading this correctly, it says "plus 7 more years." I'm writing my equation based off that phrase being true.

Set up equation:

Variable x = daughter's age

x × 3 + 7 = Kendra

x × 3 + 7 = 49

3x + 7 = 49

3x = 42

x = 14

Check your work:

14 × 3 + 7 = 49

42 + 7 = 49

49 = 49

Correct!

In an experiment, colored letters flash briefly on a computer screen. On each trial, participants are asked to report the letters in their correct colors and to rate their confidence in their responses. In one condition, participants are required simultaneously to monitor the screen for the appearance of a particular digit. Which alternative correctly identifies the dependent variable(s) in this experiment

Answers

The alternatives or options aren't given.

Answer:

Kindly check explanation

Step-by-step explanation:

The dependent variable in an experiment refers to the va ibale which we intend to measure based on the outcome or values of one or more predictor variables, this variable which we intend to measure is the dependent variable while the the variables which causes a change or upon which the dependent variable relies are the independent variable. Hence, from the scenario described above, the possible dependent variables are :

The letters in their correct colors and the confidence in response Given.

Find the missing length the triangles are similar.

Answers

Answer:

Step-by-step explanation:

The missing length is 13 because,

Lets say the top triangle is A and the bottom triangle is B.

Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.

Answer: 13

The distance from Clinton to Greenville is 124 miles. To find the speed of a car, use the expression d divided t, where d represents the distance and t represents time. Find the speed of a car that travels from Clinton to Greenville in 2 hours

Answers

Step-by-step explanation:

time = 2 hours

distance travelled(d) = 124 miles

so

speed = d/t

=  124/2

= 62 miles per hour

Therefore, the speed of car is 62 miles per hour.

What is the area that f this composite figure?

Answers

Answer:

Answer of this qn is 96cm^2

In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.

Answers

Answer:

d = 4

Step-by-step explanation:

a7 = -9

a19 = 39

We know the formula for an arithmetic sequence is

an = a1+d(n-1)

Using the givens:

a7 = -9 = a1 +d(7-1)

a19 = 39 =a1 +d(19-1)

Subtracting these equations

-9 = a1 +d(6)

39 =a1 +d(18)

------------------------

-48 = 0 -12 d

Divide by -12

4 =d

Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS

Answers

Answer:

x = 19

Step-by-step explanation:

The angles sum are complementary so they will sum to 180

(6x+9) +(4x-19) = 180

Combine like terms

10x - 10 = 180

Add 10 to each side

10x-10+10 =180+10

10x =190

Divide by 10

10x/10 = 190/10

x = 19

WILL MARK BRAINLEST!!Use the remainder theorem to find T(2) for T(x)= 3x3 - 2x2 - 6x -5.
A) -21
B) -1
C) 21
D) 1

Answers

Answer:

B

Step-by-step explanation:

T(x)=3x³-2x²-6x-5

T(2)=3(2)³-2(2)²-6(2)-5

=24-8-12-5∵

=-1

Carlos and his friend are sharing some leftover pasta. If 1/4 of the pasta is left, how much will they each get?​

Answers

Answer:

1/8 of the whole pasta or 1/2 of what's left

Answer:

each of them would get an 1/8 (if it is 2 people)

Step-by-step explanation:

A piece of land is 20cm by 5cm. A portion of the land by size 10cm by 2cm was used to cultivate tomatoes. what is the area of the land?

Answers

Answer:

80cm^2

Step-by-step explanation:

20*5=100

10*2=20

100-20=80

Can someone verify if this is correct?

I used cosec because the others didn’t work

Answers

Yes that’s correct. I’m doing flvs too!
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