The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, working on it. It takes 6 hours for 16 children to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together? How many children are needed to put the same jigsaw puzzle together in 4 hours?

Answer:

SEE BELOW.

Step-by-step explanation:

1) 5/40

gcf = 5

5 ÷ 5 /    40  ÷ 5

= 1/8

2) 2/12

1/6

3) 3/9

= 1/3

4) 4/36

1/9

5) 6/40

3/20

6) 7/49

1/7

7) 6/50

3/25

8) 8/12

4/6

2/3

9) 9/90

1/10

10) 14/32

7/16

11) 25/65

5/13

12) 18/64

9/32

13) 24/54

4/9

14) 8/60

4/30

2/15

15) 22/34

11/17

16) 35/84

5/12

17) 48/104

6/13

18) 16/128

1/8

19)36/108

= 1/3

20) 38/152

1/4

Answer:

Step-by-step explanation:

You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.

Let x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.

  25(60 -x) +40x = 2025 . . . . total miles driven

Simplify the equation:

  1500 +15x = 2025

  15x = 525 . . . . . . . . . . subtract 1500

  x = 35 . . . . . . . . . . divide by 15

  60-x = 25 . . . . . gallons used by car 1

The first car used 25 gallons; the second car used 35 gallons.

__

Additional comment

The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.

Answer: y=-7

Step-by-step explanation:

solve 5x+2y =-4 for x

Add -2y to both sides

divide both sides by five
substitue -2/5y +-4/5 for x in 3X +10 Y equals -64

44/5 + -12/5 equals -64

Simply both sides

add 12/5 to both sides

Divided by 44/5
y= -7

Answer:

Hence The Value of Y=-2 at the intersecting point

Step-by-step explanation:

Given the equation

5x+2y=-4 and 3x+10y=-64

are intersected at X=2 to find the value of y

solution the equation 5x+2y=-4 and 3x+10y=-64

are intersect at x=2 means x=2 satisfied both equations so x=2 put in the

1st equation

5 x 2+2y=-4

2y=-4 -1 0= -14

y= -7

Answer:

48

Step-by-step explanation: Area=L*W*H

L=2

W=3

H=8

2*3*8=48

Hope this help!!! Mark me brainliest!!. Have a great spring break!

Answer: hope this helps ♡

1.) x = -21

2.) x = 18

3.) x = 3

Step-by-step explanation:

(minus&minus = plus)       (minus&plus = minus)        (plus&minus = minus)

1.) 25 - 3x = 88

25 - 25 - 3x = 88 - 25

-3x = 63

-3x ÷ 3 = 63 ÷ 3

-x = 21 → x = -21

2.) -11 = 7 - x

-11 - 7 = 7 -7 -x

-18 = -x

18 = x → x = 18

3.) 95 = -4 + 33x​

95 + 4 = -4 + 4 + 33x

99 = 33x

99 ÷ 33 = 33x ÷ 33

3 = x → x = 3

[tex] \text{1 ] 25 - 3x = 88 }[/tex]

[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]

[tex] \: [/tex]

_________

[tex] \text{2 ] -11 = 7 - x }[/tex]

[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]

[tex] \: [/tex]

_________

[tex] \text { 3 ] 95 = -4 + 33x }[/tex]

[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

Answer:

3 times more

Step-by-step explanation:

mangos: m = 108

portugals:  p

oranges:     o = 3p

108 + p + 3p = 540

108 + 4p = 540

4p = 540-108 = 432

p = 432/4 = 108

o = 3p = 3(108) = 324

324/108 = 3  there are 3 times more oranges than portugals

Answer:

1620

Step-by-step explanation:

540 X 3 = 1620

Answer:

-6 ; 3

Step-by-step explanation:

Answer:this question does not make sense to fix it and ask again

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

x=2

y=7

when y by x, then multiple y by 5.

7/2= 3.5

3.5×5= 17.5

you can also do 7x2 which would give you 14 and then divide 7 by 2 to get 3.5, and add the two together, so 14+3.5=17.

Answer: up to 120 pieces

Step-by-step explanation:

Answer:

f(x) ≈ 33.75x + 15.5

Step-by-step explanation:

Answer: The answer is -6.

Step-by-step explanation:

The first step in solving -X²= - 36 is to simplify the expression. Then, divide both sides by the same factor. You'll get X² - 36 = 0.

After that, you need to use the quadratic formula. Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. a=1, b=0, and c=-36.

Finally, you need to simplify the expression. First, evaluate the exponent. Then multiply the numbers. After that, Add the numbers and evaluate the square root. Add zero, and then multiply the numbers again. You get +12/2, which simplifies into X = 6. Add the negative, and you get X = -6.

I hope it helped! :)

Answer:

1 and 3

Step-by-step explanation:

Answer:

i think i and 3 prolly :0

Step-by-step explanation:

Answer:

ar of triangke is 1 /2 base*height

so

ar = 1/2 * 8.9*14.3

ans = 63.63 sq cm

Answer: 63.63cm

Step-by-step explanation: To find the area for a triangle, the formula is A=L*W divided by 2. So you want to do A=14.3*8.9/2= 63.63500 (63.63).

Have a good day.

Answer: 9.9 yards

Step-by-step explanation: Since we know that the legs of the right triangle both measure 7 yards, we can use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the right triangle.

According to the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the legs. In this case, we have:

c^2 = 7^2 + 7^2 c^2 = 49 + 49 c^2 = 98

To find the length of the hypotenuse, we need to take the square root of both sides of the equation:

c = √98

Using a calculator, we can find that √98 is approximately 9.9. Therefore, the length of the hypotenuse is approximately 9.9 yards.

The answer is C. 9.9 yards.

Answer: 10 is the greatest and -8 is the least

Step-by-step explanation:

10 is the biggest number and even though -8 is a big number when you have it in the "-" the bigger the number is the less they are

Step-by-step explanation:

A triangle has its interior angle sum as 180°

[tex]{ \tt{ \angle R + \angle S + \angle T = 180 \degree}}[/tex]

[tex]{ \colorbox{silver}{input \: angles}} \\ \\ { \tt{31 \degree + (x + 4) \degree + (3x + 9) \degree = 180 \degree}} \\ \\ { \tt{44 + 4x = 180 \degree}} \\ \\ { \tt{4x = 136}} \\ \\ { \tt{x = 34}} \\ \\ { \colorbox{silver}{for \:R }} \\ \\ { \tt{ m\angle S =x + 4 = 34 + 4}} \\ \\ { \boxed{ \tt{m \angle S = 38 \degree}}} \\ \\ { \colorbox{silver}{for \:T }} \\ \\ { \tt{m \angle T = 3x + 9 = (3 \times 34) + 9}} \\ \\ { \tt{m \angle T = 111 \degree}}[/tex]

Answer:

A = 48 cm²

Step-by-step explanation:

This figure can be thought of as a rectangle 4 cm by 8 cm in the middle and one triangle on the left side and a congruent triangle on the right side. The triangles have 8 cm bas and 2 cm height.

total area = area of rectangle + 2 × area of triangle

total area = (4 cm)(8 cm) + 2 × (8 cm)(2 cm)/2

total area = 48 cm²

think of cordinate planes if that helps

Answer:1/30

Step-by-step explanation:

Answer:47

Step-by-step explanation:

x=180-(102+31)

X=47

Answer:

-3(x + 4)

Step-by-step explanation:

1. First, combine the like terms:

-8(x + 4) + 5(x + 4)

-3(x + 4)

2. Next, distribute:

-3(x + 4)

-3x + 12

3. Finally, use the common factor:

-3x + 12

-3(x + 4)

Answer: -3(x + 4)

Step-by-step explanation:

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.

Answer:

Slope : -1/3

Y- intercept : (0,3)

Make sure you graph on the coordinates (0,3) and (3,2)

(Look at my picture to make sure yours look like mine)

Step-by-step explanation:

We have divided the figure into 3 parts i.e. ; 2 rectangles and 1 triangle...

[tex] \boxed{ \red { \mathfrak{Area\: of\: figure =l \times b + l \times b + \frac{1}{2} \times b \times h}}}[/tex]

We have the dimensions:

[tex] \blue{ \sf{Area\: of\: figure = 8 \times 7 + 6 \times 2 + \frac{1}{2} \times 2 \times 1 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + \frac{1}{ \cancel2} \times \cancel 2 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + 1}}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =69 \: {ft}^{2} }}[/tex]

Hence, Option B is correct!!

Answer:

Step-by-step explanation:

To find the area of a rectangle, you multiply the length by the height.

First, we need to convert the mixed numbers to improper fractions:

Length: 6 3/4 ft = (6 x 4 + 3) / 4 ft = 27 / 4 ft

Height: 2 2/12 ft = (2 x 12 + 2) / 12 ft = 26 / 12 ft = 13 / 6 ft

Now we can calculate the area:

Area = Length x Height

Area = (27 / 4) ft x (13 / 6) ft

Area = 351 / 24 ft^2

Area = 14 11/24 ft^2

Therefore, the area of the rectangle is 14 11/24 square feet.

Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles