what's the diagonal if a square of area 32 cm2?​

Answer:

Bart worked 37.5 hours last week (37 1/2).

Step-by-step explanation: Divide total pay by rate per hour (in this case $6.30 per hour.)

$236.25 (the total) / $6.30 (money per hour) = 37.5 or 37 1/2

Answer:

1.  [tex]-1[/tex] [tex]\frac{1}{3}[/tex]

2. [tex]-1[/tex] [tex]\frac{1}{2}[/tex]

3. [tex]1[/tex] [tex]\frac{1}{2}[/tex]

4. [tex]1 \frac{3}{4}[/tex]

-1 1/3 is the least of all the numbers. So, this is the first number.

-1 1/2 is the second least number. So, this is the second number.

1 1/2 is the third least number. So, this is the third number.

Finally, 1 3/4 is the greatest number, so it is the fourth number.

Hope this helps you!

4x -3 = 10

Add 3 to both sides:

4x = 13

Divide both sides by 4:

x = 13/4

Answer:

x=3.25

Step-by-step explanation:

4x-3=10

Add 3 to both sides.

4x=13

Divide each side by 4.

x= 3.25

Answer:

$ 9698 will be paid paid in interest.            hope this helps.

Step-by-step explanation:

interest= prn/100

i= 21254x9x5.07/100

i= $ 9698.2

Im gessing that you mean this:

A delivery truck drives three routes in one day. The first route is 12 2/3 miles long, the second route is 10 3/4 miles long, and the third route is 15 1/2 miles long.

the awnser is 38 11/12. hopes this helps

The delivery truck total drives 37 miles on those three routes.

A fraction describes how much part is there to the total part.

According to the given question, a delivery truck drives three routes in one day.

The first route is [tex]12\frac{2}{3}[/tex] miles long, the second route is [tex]10\frac{3}{4}[/tex] miles long and the third route is [tex]15\frac{1}{2}[/tex] meters long.

To find the total number of miles the delivery truck drives we have to add the distances of all three routes which are in fractions which is,

=  [tex]( 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2} ) miles.[/tex]

= [tex]\frac{37}{3} + \frac{43}{3} + \frac{31}{3} miles.[/tex]

= (37 + 43 + 31)/3 miles.

= 111/3 miles.

= 37miles.

learn more about fractions here :

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Answer:

(x + 5)(3x + 7)

Step-by-step explanation:

Given

3x² + 22x + 35

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term

product = 3 × 35 = 105 and sum = 22

The factors are + 15 and + 7

Use these factors to split the x- term

= 3x² + 15x + 7x + 35 ( factor the first/second and third/fourth terms )

= 3x(x + 5) + 7(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x + 7) ← in factored form

Answer:

2.35 dollars per gallon

Step-by-step explanation:

All you have to do for a question like this is divide the amount of money by the amount of product.

47 divided by 20 = 2.35

Answer:$2.35

Step-by-step explanation: If you divide $47.00 by 20 you get $2.35.

So the price per gallon is $2.35.

Answer:

Darrell is 12 years old while Darrell is 18 years old

Step-by-step explanation:

Let Myles age be m and Darrell age be d

Single Myles is older, m > d

Square Darrell’s age and multiply by 2; d^2 * 2 = 2d^2

Subtract from the square of Myles age

m^2 - 2d^2

Result is 6 times the difference between their ages;

m^2 - 2d^2 = 6(m-d) •••••••••••(i)

When add Myles and Darrell age

m+ d

you get 5 times the difference between their ages 5(m-d)

m + d = 5(m-d)

m + d = 5m - 5d

5m - m = 5d + d

4m = 6d

m = 6d/4

m = 1.5d or 3/2d ••••••••(ii)

Put ii into i

(3/2d)^2 - 2d^2 = 6(3/2d - d)

9/4d^2 - 2d^2 = 6(1/2)d

Multiply through by 4

9d^2 - 8d^2 = 12d

d^2 = 12d

d^2 - 12d = 0

d(d -12) = 0

d = 0 or d-12 = 0

d = 0 or 12

d = 12 years

The age cannot be zero (if Darrel age is zero, then Myles age will be zero too, this cannot work as their ages are not equal)

So we choose 12 years

Recall ; m = 3/2 d = 3/2 * 12 = 18 years

Answer:

Number of new weeks = 20 week

Step-by-step explanation:

Total money saves = $50 x 30

Total money saves = $1,500

Find:

Number of new week

Computation:

Total money saves = Number of money save per week x Number of new weeks

1,500 = 75 x Number of new weeks

Number of new weeks = 20 week

Answer:

B

B

B

I think these are right

Step-by-step explanation:

All of them are bs.

Answer:

6

Step-by-step explanation:

z=3

z2= 3*2 = 6

Good luck

Answer:

+6)=6x + 4   x=1/3

52 + 12 = 50 - 7  False

4.3 + 7 = 3.2 + 7  False

-3(2x - 5)= 15 - 63 x = 21/2

Step-by-step explanation:

Answer:

angle 1=41°

Angle 2=85°

Angle 3=95°

Angle 4 =85°

Angle 5=36°

Angle 6=49°

Angle 7=106°

Answer:

45 mi/h

Step-by-step explanation:

Here, we can find the total distance divided by the total time. To find the total time, we can set up 2 equations:

[tex]d = vt[/tex] (which is the formula that connects velocity, time and displacement).

Here, we have to split the trip into 2 displacements because the car changes speed. So, we have 40 mi = 40 (mi/h) * t1. And t2 = 1 hour. For the second distance: 20 mi = 60 (mi/h) * t2. And t2 = 1/3 hrs.

since total time = t1+t2, we get the total time is 4/3 hours. Then, we get:

80 = [tex]v_{avg}[/tex]*(4/3)  where [tex]v_{avg}[/tex] is the average velocity of the trip. Finally, we get [tex]v_{avg}[/tex] = 45 mi/h

Answer:

M=5

Step-by-step explanation:

divide each side by -2

Answer:

Option C

Step-by-step explanation:

Lets calculate 3(q + 2) first;

Distribute;

3(q + 2) = 3q + 6

Option C because 3(2 + q) = 6 + 3q

Answer:

80 percent

Step-by-step explanation:

The length of each side of the square garden is 3ft.

A square is a quadrilateral with four equal straight sides and four right angles.

To find the area of a square garden, multiply two equal sides.

The area is the space of a two-dimensional line.

To find the length of each side of a square garden, compute the squared root of the area.

Area of the square garden = 9 ft

Length of each side = √9

= 3 feet

Thus, each side of the garden has 3 ft.

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n = 14

Hi there !

7ⁿₓ7⁵⁾⁴ = 7³⁴

7ⁿₓ7⁵ˣ⁴ = 7³⁴

7ⁿₓ7²⁰ = 7³⁴

n + 20 = 34

n = 34 -20

n = 14

Good luck !

Answer:

n = 14

Step-by-step explanation:

Answer:

The dependent variable is n i think because the hwole problem depends on n

Step-by-step explanation:

Answer:116

Step-by-step explanation:

By definition, a rhombus will have equal opposite angles.

Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.

Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64

Now that we have found out c is 64, we plug it into the angle 2c-12 to get

2*64-12=116.

So again by definition, angle J will be 116 degrees since its an opposite angle.

Answer:

In english pls

Step-by-step explanation:

Answer:

I'm pretty sure it's 2

Step-by-step explanation:

x^2=9

Step 1: Take the square root.

x=±√9

x=3 or x=−3

Answer:

The supplementary angles to ∠4 are;

∠3, ∠2, ∠7, ∠6, and ∠5

Step-by-step explanation:

The given information are;

The angular orientation of lines l and m = horizontal lines

Therefore l and m are parallel lines

The transversal line to lines l and m = Line t

Therefore, we have;

Angles between line t and line l = 1, 2, 3, and 4

The order of arrangement of the angles between line t and line l are from top left in a clockwise order;

1, 3, 4, and 2

Similarly, the order of arrangement of the the angles between the transversal t and the line m are from top left in a clockwise order;

5, 7, 8, and 6

Therefore, we have;

The supplementary angles to ∠4 are;

∠3, ∠2, ∠7, ∠6, and ∠5

∠3 and ∠4, ∠4, and ∠2,  angles on a straight line between lines l and t

∠4 and ∠7 are opposite interior angles (Opposite interior angles are supplementary)

∠7 ≅ ∠6, ∠7 and ∠6 are alternate angles (

∠7 = ∠6 Definition of congruency

∴ ∠4 and ∠6 are supplementary (Transitive property)

∠4 and ∠5 are alternate interior angles (Alternate interior angles are supplementary).

Answer:

11

Step-by-step explanation:

Here, we replace x and y with the values given that x = 6 and y = 2:

=[tex]\frac{3(6)+4}{(2)}[/tex]

= [tex]\frac{18+4}{2}[/tex]

=[tex]\frac{22}{2}[/tex]

=11

Answer:

1,2,3,5,8,13,.......

Step-by-step explanation:

We can have a sequence that adds the previous two terms to get the next term

1,2,3,5,8,13,.......

This is neither geometric nor arithmetic

Answer:X= 4, y= -2

If you're solving by addition/elimination

Answer:

(4,-2)

I hope this helps