The number of lawns l that a volunteer can mow in a day varies inversely with the number of
shrubs s that need to be pruned that day. If the volunteer can prune 6 shrubs and mow 8
lawns in one day, then how many lawns can be mowed if there are only 3 shrubs to be
pruned?

Answer:

1682

Step-by-step explanation:

2120 grams of sand in bucket - 438 grams of sand in cup = 1682 :)

Answer:1682

Step-by-step explanation:

Answer:

866

Step-by-step explanation:

     866

          4

x______

    3464

Answer:

$19.50

Step-by-step explanation:

40% of $32.50 = $13.00

$32.50 - $13.00 = $19.50

Hope this helps!

Problem 11

Answer: Angle C and angle F

Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.

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

Problem 12

Answer: 100 degrees

Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.

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

Problem 13

Answer: 80 degrees

Explanation: This was mentioned earlier in problem 11.

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

Problem 14

Answers: complement = 50, supplement = 140

Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.

Answer:

Step-by-step explanation:

(2x - 6)(3x - 2)

= 2x(3x - 2) - 6(3x - 2)

[tex] = 6 {x}^{2} - 4x - 18x + 12[/tex]

[tex] = 6 {x}^{2} - 22x + 12 \: (ans)[/tex]

Answer:

It is D, I think it’s because the letters need to be around in the same order

The angle corresponding to each other of different triangle are equal.

"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion".

Here given,

[tex]\triangle JGR[/tex] is similar to triangle [tex]\triangle MST[/tex]

So, from the definition of similar triangle ,

angle J ≅ angle M

angle G ≅ angle S

angle R ≅ angle T

Hence, option D is correct.

To know more similar triangle here

https://brainly.com/question/25882965

#SPJ2

Answer:

0.2

Step-by-step explanation:

When rounding to a certain place, check to see if the number to the left of that place is five or above. If it is, round up. If its not, round down.

Rounding 0.18 to one decimal place, we get the value of 0.2.

To round 0.18 to one decimal place, we need to look at the digit in the tenths place (the first digit after the decimal point).

In this case, the tenths place digit is 8. To round to one decimal place, we follow the general rounding rule: if the tenths place digit is 5 or greater, we round up; if it is 4 or less, we round down.

Since the tenths place digit in 0.18 is 8, which is greater than 5, we need to round up.

Thus, rounding 0.18 to one decimal place, we get:

0.2

The rounded value is 0.2, as it is the nearest value when rounded to one decimal place.

Therefore, 0.18 rounded to one decimal place is 0.2.

To learn more about rounding click on,

https://brainly.com/question/293610

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Answer:

8...the value of d variable =45 degree

corresponding angles are equal(reason)

9.

Answer:

if one angle is 35 degree... the other angle which one is opposite must be 35 degree

Step-by-step explanation:

now we can collect two angle and try to complete 180 degree. 45+35+ other angle equal to 180 degree and the other angle is 100 degree and we have Z rules so x=100 C°

Answer:

The correct answer would be D

9x=5(x=35)

Step-by-step explanation:

If this doesn't help I can fix it. I'm sorry in advance if it is incorrect.

Answer:

Amount the driver saved = £408.22

Step-by-step explanation:

Let the original price be = x

Discount % = 55%

Given price after discount = £334

Price after discount = x - (55% of x )

                   [tex]334 = x - (\frac{55}{100} \times x)\\\\334 = \frac{100x - 55x }{100}\\\\334 \times 100 = 45x\\\\x = \frac{334 \times 100}{45} = 742.22[/tex]

Therefore original price = £742.22

Amount the driver saved = 742.22 - 334

                                      = £408.22

9514 1404 393

Answer:

  8 in

Step-by-step explanation:

  (1200 mi)×(1 in)/(150 mi) = (1200/150) in = 8 in

The cities are 8 inches apart on the map.

_____

Additional comments

You can think of it as a units conversion problem (as above), or as a proportion:

  (map distance)/(1200 mi) = (1 in)/(150 mi)

  map distance = (1200 mi)(1 in)/(150 mi) = 1200/150 in = 8 in

__

When doing units conversion, you multiply by a scale factor that has units you want in the numerator, and units you want to cancel in the denominator. The numerator and the denominator have the same value, so multiplying by that fraction changes the units but not the value. Here, 1 in = 150 mi, so (1 in)/(150 mi) ≡ 1.

Answer:

60°

Step-by-step explanation:

180 - 33 - 187 = 60

Answer:

[tex]x=60\\y=120[/tex]

Step-by-step explanation:

A triangle is always 180 degrees...

Form an equation to solve:

[tex]x+33+87=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

To find y:

(Angles on straight line = 180)

[tex]y=180-x[/tex]

(replace x with 60)

[tex]y=180-60[/tex]

[tex]y=120[/tex]

hope this help :)

Answer:

2

Step-by-step explanation:

[tex]12x {}^{2} + 4x - 3x - 1 = 0 [/tex]

[tex]4x \times (3x + 1) - (3x + 1) = 0[/tex]

[tex](3x + 1) \times (4x - 1) = 0[/tex]

[tex]3x + 1 = 0 \\ 4x - 1 = 0[/tex]

[tex]x = - \frac{1}{3} \\ x = \frac{1}{4} [/tex]

I hope this helps :)

Answer:

Hello! answer: 250

Step-by-step explanation:

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

5 × 5 = 25

5 × 5 = 25

50 × 4 = 200

200 + 25 + 25 = 250 the total surface area is 250 hope that helps!

General equation for slope-intercept form

y = mx+c

comparing the given eqn with this ,

m= slope = 2

Answer:

D

Comment if you need step by step. I assumed you needed it fast

Given:

The diameter of the circle = 14 cm

To find:

The area of the circle.

Solution:

We have,

Diameter of the circle = 14 cm

We know that the radius of the circle is half of its diameter. So,

[tex]r=\dfrac{14}{2}[/tex]

[tex]r=7\text{ cm}[/tex]

The area of a circle is:

[tex]A=\pi r^2[/tex]

Substituting [tex]\pi=\dfrac{22}{7}, r=7[/tex] in the above formula, we get

[tex]A=\dfrac{22}{7}\times (7)^2[/tex]

[tex]A=22\times 7[/tex]

[tex]A=154[/tex]

Therefore, the area of the circle is 154 square cm.

Answer:

Crawling

Step-by-step explanation:

Answer:

The ratio of any two corresponding lengths in two similar geometric figures.

Step-by-step explanation:

You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.

If you divide the length of DE by the length of AB:

a^2/a =a.

You get a scale factor of “a”

Answer:

[tex]P(B) = 0.90[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.1[/tex]

[tex]P(A\ or\ B) = 0.93[/tex]

[tex]P(A\ and\ B) = 0.07[/tex]

Required

[tex]P(B)[/tex]

To do this, we make use of:

[tex]P(A\ or\ B) + P(A\ and\ B) = P(A) + P(B)[/tex]

Make P(B) the subject

[tex]P(B) = P(A\ or\ B) + P(A\ and\ B) - P(A)[/tex]

So, we have:

[tex]P(B) = 0.93 + 0.07 - 0.1[/tex]

[tex]P(B) = 0.90[/tex]

Answer:

[tex] A)\displaystyle2 < x < 3[/tex]

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities

we are given that

[tex] \displaystyle 4x - 4 < 8 \ \: \text{and} \: \: 9x + 5 > 23[/tex]

solving x for the first equation:

[tex] \displaystyle 4x - 4 < 8[/tex]

add 4 to both sides:

[tex] \displaystyle 4x < 12[/tex]

divide both sides by 4 and since we are dividing both sides by a positive number the inequality won't swap

[tex] \displaystyle x < 3[/tex]

solving x for the second equation:

[tex] \displaystyle 9x + 5 > 23[/tex]

cancel 5 from both sides:

[tex] \displaystyle 9x > 18[/tex]

divide both sides by 9 and since we are dividing both sides by a positive number:

[tex] \displaystyle x > 2[/tex]

therefore by combining the equations we obtain:

[tex] \displaystyle\boxed{2 < x < 3}[/tex]

hence,

our answer is A)

Answer:

15

Step-by-step explanation:

4+3.85x=61.75

3.85x=57.75

x=15

Step-by-step explanation:

• no solution:

3x+9+4x+x = 8x + 9

• one solution:

3x+9+4x+x = 7x + 11

• infinitely many solutions:

3x+9+4x+x = 8x + 11

Answer:

[tex]y = \frac{5}{4} x - 5[/tex]

Answer:

name=circle area= 2 x pi x 6square

Step-by-step explanation:

Answer:

Step-by-step explanation:

Name of a figure=circle

radius=diameter/2

=12/2

=6

area=πr^2

=3.14*(6)^2

=3.14*36

=113.04 in^2

Answer:

693

Step-by-step explanation:

11, 22, 44, 88, 176, 352

11 + 22 + 44 + 88 + 176 +352 = 693

Answer: [tex]h=8.33\ cm[/tex]

Step-by-step explanation:

Given

The length of a cuboid is [tex]l=15\ cm[/tex]

breadth is [tex]b=12\ cm[/tex]

Total surface area is [tex]S.A.=900\ cm^2[/tex]

Surface area is given by [tex]2(lb+hl+bh)[/tex]

Insert the values

[tex]\Rightarrow 900=2(15\times 12+15h+12h)\\\Rightarrow 450=225+27h\\\Rightarrow 225=27h\\\Rightarrow h=8.33\ cm[/tex]

Answer:

The factors of x² - 3·x - 18, are;

(x - 6), (x + 3)

Step-by-step explanation:

The given quadratic expression is presented as follows;

x² - 3·x - 18

To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18

By examination, we have the numbers -6, and 3, which gives;

-6 + 3 = -3

-6 × 3 = -18

Therefore, we can write;

x² - 3·x - 18 = (x - 6) × (x + 3)

Which gives;

(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18

Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)

Answer:

can you add a picture or something to work with?