Multiply: two-thirds times six-sevenths Put your answer in lowest terms.
A. four-sevenths
B. four twenty-firsts
C. twelve twenty-firsts
D. three-sevenths

Answer:

They can finish the race in 15 x 14 x 13 x 12 x 11 = 360360 order.

Step-by-step explanation:

There are 15 bicyclists in the race. The first position would come from the first bicyclist to the 15th. Meaning the first position can be occupied by 15 individuals. The second position can only be occupied by 14 individuals since one person is already first. Same way the third, fourth and fifth positions can be occupied by 13, 12 and 11 individuals respectively.

Therefore, they can finish the race in

15 x 14 x 13 x 12 x 11 = 360360 order.

Answer:

[tex]1\frac{7}{20}[/tex]

Step-by-step explanation:

Step one

Given data

On  Monday, Jesse drank 3/4 of liter of water before jogging

and drank 3/5 of liter after jogging

In all, Jesse drank 3/4 and 3/5 liters of water

= 3/4+3/5

the lcm is 20

=15+12/20

=27/20

in mixed numbers(i.e a whole and a fraction together we have) we have

[tex]1\frac{7}{20}[/tex]

=========================================

Explanation:

Through guess and check, we find that

8+9 = 17

8*9 = 72

We see that 8 is the answer.

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

Another approach:

Let m and n be the two numbers.

They sum to 17 which leads to m+n = 17. Solving for n gets us n = -m+17.

Their product is 72, so,  m*n = 72

Apply substitution and we get the following:

m*n = 72

m*(-m+17) = 72

-m^2 + 17m = 72

-m^2 + 17m - 72 = 0

-1(m^2 - 17m + 72) = 0

m^2 - 17m + 72 = 0

Now apply the quadratic formula

[tex]m = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\m = \frac{-(-17)\pm\sqrt{(-17)^2-4(1)(72)}}{2(1)}\\\\m = \frac{17\pm\sqrt{1}}{2}\\\\m = \frac{17\pm1}{2}\\\\m = \frac{17+1}{2} \ \text{ or } \ m = \frac{17-1}{2}\\\\m = \frac{18}{2} \ \text{ or } \ m = \frac{16}{2}\\\\m = 9 \ \text{ or } \ m = 8\\\\[/tex]

If m = 8, then n = -m+17 = -8+17 = 9.

If m = 9, then n = 8 through similar steps.

We see the two values are 8 and 9, the smaller of which is 8.

Answer:

i think... 3) 26

Step-by-step explanation:

if its wrong, dont mark me brainliest =/

Answer:

Layout A needs 4.8 m more fencing

Step-by-step explanation:

Khan academy answer

Answer:

opps type miss

Step-by-step explanation:

miss type

Answer: $31.54 ($31.5375, rounded to $31.54)

Step-by-step explanation: $30 * .05125 = $1.5375, to find our sales tax.

Add this sales tax ($1.5375) to $30 and we get $31.5375

IF IT SAYS TO ROUND TO THE NEAREST HUNDRETH, TYPE:

"31.54"

IF NOT:

"31.5375"

Answer:

the slope is one

Step-by-step explanation:

trust me bro .

Answer:

$36 (120-84)

Step-by-step explanation:

Apple = 120-84

Apple = 36

Apple = 36

Answer:

x = 77

Step-by-step explanation:

no hablo ingles lo siento

Answer:

4/3 or 1 and 1/3 simplified

Step-by-step explanation:

So if Jack walked 2/3 of a mile one half a mile, to know how much he walked in an hour you have to multiply 2/3 and 2/1

2/3 time 2/1 is 4/3 or 1 and 1/3 simplified

Answer:

102°

Step-by-step explanation:

∠PQR = ∠PQS + ∠SQR

12x - 6 = 16 + 9x + 17

3x = 27

x = 9

∠PQR = 102°

Answer:

Hope this helps!

Step-by-step explanation:

I'm going to do it from least to greatest:

A. -32, -15, 0, +11, +60

B. -29, -15, -12, 0, +81

Good Luck! \(￣︶￣*\)

Answer:

Equation of Hanger A:

x + y = z

z = 9 grams

Equation for hanger B

x + y = p

p = 9 grams

Step-by-step explanation:

Note: This question is not complete, and lacks necessary data to answer this question. But for the sack of concept, we wil be solving this question using our own data.

Data given:

Triangle weight = 3 grams

Circle weight = 6 grams

There are two hangers A and B.

We have to find weight of the square in Hanger A and weight of the pentagon in Hanger B.

So, for your understanding I have drawn the two hangers A and B. In A we have triangle and circle on the LHS and the square on the right. On the other hand, we have pentagon on the right and triangle and circle.

Sketch is attached in the attachment.

Let's suppose: Hanger A is balanced, So,

Triangle weight = 3 grams = x

Circle weight = 6 grams = y

weight of the pentagon in Hanger B = p

weight of the square in Hanger A = z =?

So,

Equation of Hanger A:

x + y = z

z = 3 + 6

z = 9 grams  = weight of the square in Hanger A

Similarly for Hanger B.

Equation for hanger B

x + y = p

p = 3 + 6

p = 9 grams

Answer:

$1656

Step-by-step explanation:

(12*74)+768

(888)+768

1656

Answer:

she puts 20 in the basket and she eats  8

Step-by-step explanation:

Step one:

given data

we are told that for every 5 strawberries she puts in the basket, she eats 2

if she picks 28

then she will put 20 in the basket and eat 8

the first 5 she puts in the basket, she ears 2

the second 5 she eats 2, total is 7

the third 5, she eats 2, total is 7

the fourth 5, she eats 2, total is 7

hence she puts 5+5+5+5= 20 in the baskets

and eats 2+2+2+2= 8

Answer:

Solving the inequality [tex]1<\frac{a+7}{-2}[/tex] we get the value of a: [tex]\mathbf{a<-9}[/tex]

Step-by-step explanation:

We need to solve the inequality: [tex]1<\frac{a+7}{-2}[/tex]

We need to solve the inequality, to find the value of a.

Solving the inequality:

[tex]1<\frac{a+7}{-2}[/tex]

First step is Switching both sides (the inequality will be reversed)

[tex]\frac{a+7}{-2}>1[/tex]

The next step is to multiply both sides by -2 and reverse the inequality

[tex]\frac{a+7}{-2}*-2<1*-2\\a+7<-2[/tex]

Now, subtracting 7 on both sides

[tex]a+7-7<-2-7\\a<-9[/tex]

So, solving the inequality [tex]1<\frac{a+7}{-2}[/tex] we get the value of a: [tex]\mathbf{a<-9}[/tex]

Answer:

320 degrees.

Step-by-step explanation:

Answer: x=-36

2+1/6x=-4

-2         -2

1/6x=-6

*6     *6

x=-36

I hope this helps:

Answer:

x= 75°

because 180°-105°=75°

Answer:

(49,0)(0,-35)

y intercept (0,-35)

x intercept (49,0)

Step-by-step explanation:

Answer:B. 0.27

Step-by-step explanation:

Answer:

-4x+2

Step-by-step explanation:

1/4(-16x+8)

-16x+8/4

-8(2x-1)/4

-8(2x-1)/4

-2(2x-1)

-4x+2

The simplified form of 1/4(-16x+8)  will be -4x+2.We will use the arrthmetic operation to find the simplified value.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that,

1/4(-16x+8)

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).

=1/4(-16x+8)

= -16x+8/4

=- -8(2x-1)/4

= -8(2x-1)/4

=- -2(2x-1)

= -4x+2

Thus, the simplified form of 1/4(-16x+8)  will be -4x+2.We will use the arrthmetic operation to find the simplified value.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

108 bottles

Step-by-step explanation:

[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]

Answer:

108 bottles

Step-by-step explanation:

[tex]\frac{4.536}{0.042}[/tex]=108

Answer:

415.625

Step-by-step explanation:

1. Yo dividida 35 por 8. La respuesta de eso es 4.375.

2. Yo multiplica 4.375 por 95. La respuesta es 415.625 km.

Answer:

30,324

Step-by-step explanation:

30,000 x 4.5 = 135.00

135.00 x 4 + 540.00 four quarters in a year

6 years  x 540 = 3,240

30,000 + 3,240 = 33. 240