Calculator
Grant reads a story about a turtle that swam 25 feet in 40 seconds. He assumes the time, t, that it takes the turtle to swim a distance of d feet is a proportional relationship, Grant
starts to create the table shown for other times and distances the turtle swims.
Enter the missing numbers in the table to represent the proportional relationship
Time
(seconds)
Distance
(feet)
1
10
30
40
25

Answer:

x = 50

Step-by-step explanation:

→ Make the equations equal to each other

2 ( x + 10 ) = 3x - 30

→ Expand brackets

2x + 20 = 3x - 30

→ Minus 3x from both sides

-x + 20 = -30

→ Minus 20 from both sides

-x = -50

Opposite angles are equal

[tex]\\ \sf\longmapsto 2(x+10)=3x-30[/tex]

[tex]\\ \sf\longmapsto 2x+20=3x-30[/tex]

[tex]\\ \sf\longmapsto 3x-2x=30+20[/tex]

[tex]\\ \sf\longmapsto x=50[/tex]

Answer:

As follows,

Step-by-step explanation:

You can solve these either by factoring or using the quadratic formula or other ways,

1. x^2+2x+1=0

Factoring,

(x+1)^2=0

x+1=0

x=-1

2.y^2-y-2=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(--1±√(-1^2-4*1*-2))/2*1

(1±√(1+8))/2

(1±√(9))/2

(1±3)/2

y=(1±3)/2

y=(1+3)/2    y=(1-3)/2  

y=4/2          y=-2/2

y=2              y=-1

3.y^2+y+1=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(-1±√(1^2-4*1*1))/2*1

(-1±√(1-4))/2

(-1±√(3))/2

No real roots

4. x^2+9x+18=0

Using quadratic formula,

(-9±√(9^2-4*1*18))/2*1

(-9±√(81-72))/2

(-9±√(9))/2

(-9±3)/2

x=(-9+3)/2  x= (-9-3)/2

x=-6/2         x=-12/2

x=-3           x=-6

5.x^2+5x+6=0

Using quadratic formula,

(-5±√(b^2-4ac))/2a

(-5±√(5^2-4*1*6))/2*1

(-5±√(25-24)/2

(-5±1)/2

x=(-5+1)/2  x=(-5-1)/2

x=-4/2       x=-6/2

x=-2         x=-3

6. 3n^2-13n-10=0

Using quadratic formula,

(-b±√(b^2-4ac))/2a

(-(-13)±√(-13^2-4*3*(-10)))/2*3

(13±√(169-(-120))/6

(13±√289)/6

The discriminant b^2−4ac>0

So there are 2 real roots.

x=(13±17)/6

x=30/6 or x=-4/6

x=5 or x=-2/3

Answer:

Yes you are correct

Step-by-step explanation:

[tex]2 \sqrt{x + 9} [/tex]

Answer:

[tex] 2\sqrt{ } \times + 9[/tex]

u understand

6 14 miles in 5 days.

In 1 day Tom rides 6 14/5 = 1 228 miles

1 week has 7 days

5 weeks have 35 days

1 day Tom rides 1 228 miles

35 days Tom rides for 1 228 * 35 = 42 98miles.

Answer: B

Step-by-step explanation: Hope this helps!

he got a one time thing of 75 coins and now gets 20 coins for each month which explains 20x. (X being the number of months)

The equation that could be used for determining the y should be option B y = 20x + 75

Since dad gave him 75 coins. each month he will add 20 coins.

Here we assume a number of months be x

So, the equation is

y = 20x + 75

Therefore, we can conclude that The equation that could be used for determining the y should be option B y = 20x + 75

learn more about an equation here: https://brainly.com/question/24271130

Answer: 4 bags

Division is nessacery

7/12 divide by 1/8= 4.6666667

Full bags will be 4

Step-by-step explanation:

Answer:

Problem 2: k = 3

Problem 4: NO SOLUTION

Step-by-step explanation:

Problem 2 work:

-4/3(12k + 27) = -57 - 9k

-16k - 36 = -57 - 9k    -ADD THE -9k TO ITSELF AND TO -16k-

-7k - 36 = -57     -ADD THE -36 TO ITSELF AND -57-

-7k = -21

k = 3

Problem 4 work:

5/2(6w - 16) = 18w -(3w + 40)

15w - 40 = 18w - 3w - 40    -ADD THE -3w TO THE 18w-

15w - 40 = 15w - 40

NO SOLUTION BECAUSE BOTH SIDES ARE THE SAME

Answer:

5;:':;;gighifighfutfdyfuhufgfyhxfkcy

Answer:

1. 18

2. 15

3. Symmetric Property

Step-by-step explanation:

1. 8 + 10 = 18

2. Following symmetric prop. of eq. would mean that since 8 + 10 = 15 + 3 and 8 + 10 = 18, 15 + 3 = 18 as well

3. Symmetric Property of Equality states that if a = b, then b = a

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's solve for z :

Answer:

z = 2

Step-by-step explanation:

6(2 - 3) = 2(3z - 9)

12 - 18 = 6z - 18

12 = 6z

2 = z

Hopefully this helped!

Brainliest please?

Answer:

5.6miles

Step-by-step explanation:

find Jenny's speed per minute,

ie distance/time

[tex]\frac{7}{80} miles \: per \: minute[/tex]

find the distance travelled by multiplying the speed by the time

[

[tex] \frac{7}{80} \times 64 = \frac{56}{10} \\ = 5.6[/tex]

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]

Item a:

The age with the highest value is the a-value for the vertex, which is:

[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

A similar problem is given at https://brainly.com/question/24626341

Answer:

the answer is 3.14 when u solve it

Answer:

x=7

Step-by-step explanation:

Answer:

P = -10

5p - 8(p + 1) > 16

5(-10) - 8(-10 + 1) > 16

-50 - 8(-9) > 16

-50 + 72 > 16

22 > 16

Answer:

[tex]x=89[/tex]

Step-by-step explanation:

We can plug into the formula for the mean to get [tex](87+73+84+82+x)/5=83[/tex].

We can combine like terms on the left side to get [tex](326+x)/5=83[/tex].

We can multiply by [tex]5[/tex] on both sides to get [tex]326+x=415[/tex].

We can finally subtract [tex]326[/tex] from both sides to get [tex]x=89[/tex].

So, the answer is [tex]\boxed{x=89}[/tex] and we're done!

Answer:

d = 16.88

Step-by-step explanation:

Start by simplifying both sides of the equation then isolate the variable

Answer:

10 yd, because you subtract 15 to 5.

Answer:

$126

Step-by-step explanation:

I divided the figure in 3 parts, 1 triangle and 2 rectangles

found the area of each figure and added all to find the total area

please mark this answer as brainlist

Answer:

It's 0 because if you do 42~4=10.5 and 42~3=14 and 42~2=21 and 42~1=42 and there all more then 5 but on the other hand 0 is less then 5

Step-by-step explanation:

Answer:

2.12

Step-by-step explanation:

I did the maths equation

Answer:

2.12 liters in each jar

Step-by-step explanation:

Take the total amount of juice and divide it by the number of jars

14.84 liters / 7 jars

2.12 liters in each jar

Answer:

$200

Step-by-step explanation:

First, find the unit rate:

12/3= 4

Then multiply:

4*50= 200

Hope this helps!

Answer:

[tex]3.17 \times {10}^{ - 3} [/tex]

Step-by-step explanation:

First let's put the distance of Pluto in scientific notation:

3,670,000,000 = 3.67•10⁹

Now, to find the time you have to divide the distance by the speed, in this case is the distance from sun to Pluto, and the speed of light:

(1.17•10⁷)÷(3.67•10⁹) = 0.00317 minutes

Now put the result in scientific notation:

0.00317 = 3.17•10-³