Yesterday, Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much did she pay for the crackers?

[tex]\:\:\:\:\:\:\:\:\:\:\therefore\bf{x=3\:and\:y=1}[/tex]

Solution

[tex]\:\:\:\bf{(2^{x+y},\:3^{x-y})=(16,9)}[/tex]

[tex]\sf{Here,}[/tex]

[tex]\:\:\:\star\tt{\:\:2^{x+y}=16\:and\:3^{x-y}=9}[/tex]

[tex]\sf{Solving,}[/tex]

[tex]\:\:\:\implies\tt{\:\:2^{x+y}=16}[/tex]

[tex]\:\:\:\implies\tt{\:\:2^{x+y}=2^4}[/tex]

[tex]\:\:\:\implies\tt{\:\:x+y=4}[/tex]

[tex]\:\:\:\bf{\:\:x=4-y-----(i)}[/tex]

[tex]\sf{Solving,}[/tex]

[tex]\:\:\:\implies\tt{\:\:3^{x-y}=9}[/tex]

[tex]\:\:\:\implies\tt{\:\:3^{x-y}=3^2}[/tex]

[tex]\:\:\:\bf{\:\:x-y=2-----(ii)}[/tex]

[tex]\sf{Putting\:the\:value\:of\:(i)\:in\:(ii),}[/tex]

[tex]\:\:\:\implies\tt{\:\:4-y-y=2}[/tex]

[tex]\:\:\:\implies\tt{\:\:4-2y=2}[/tex]

[tex]\:\:\:\implies\tt{\:\:-2y=2-4}[/tex]

[tex]\:\:\:\implies\tt{\:\:\cancel{-}2y=\cancel{-}2}[/tex]

[tex]\:\:\:\implies\tt{\:\:y=\frac{\cancel{2}}{\cancel{2}}}[/tex]

[tex]\:\:\:\bf{\:\:y = 1}[/tex]

[tex]\sf{Putting\:y = 1\:in\:(i),}[/tex]

[tex]\:\:\:\implies\tt{\:\:x=4-1}[/tex]

[tex]\:\:\:\bf{\:\:x = 3}[/tex]

[tex]\:\:[/tex]

Answer:

Width = 6

Length = 7

Step-by-step explanation:

Consecutive integers: x and x+1

2x + 2(x+1) = 26

2x +2x + 2 = 26

4x = 26 - 2

x = 24/4

x = 6

The required coordinate of the point K is (13, 8).

Given that,
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5), the coordinates of point K is to be determined.

Coordinate, is represented as the values on x-axis and y-axis of the graph.

here,
The coordinate of the midpoint (x, y) is given as,
x = (x₁ + x₂)/2     ; y = (y₁ + y₂)/2
Substitute the value in the above equation,
3 = (-7 + x₂)/2     ; 5 = (2 + y₂)/2
x₂ = 13                ; y₂ = 8

Thus, the required coordinate of point K is (13, 8).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ5

Answer:

First one is 13/5

Second is 41/5

Hope this helps!

Step-by-step explanation:

Answer:A=2 B=1

Step-by-step explanation:

Answer:

F

(

x

)

=

−

x

2

−

3

x

+

C

Step-by-step explanation:

Answer:

420-69

Step-by-step explanation:

i felt like that was the answer

Answer:

1. x ≥ 5

2. x ≥ 4

Step-by-step explanation:

1. 5 + 4 ≥ 9

2. 2(4)-5≥3

2x4= 8

8-5≥3

Answer:

1. (x-1) (x+4)

2. (3x+2) (x+1)

3. (3x+4) (2x+1)

4. (x-1) (x-2)

5. (x-5) (x+8)

Answer:

100000

Step-by-step explanation:

I believe you mean Exponent, not roots.

2^5 x 5^5.

1) Evaluate your Exponent

(2x2x2x2x2) x (5x5x5x5x5)

2) Multiply

32 x 3125

3) Solution

100000

Answer:

549.78"

Step-by-step explanation:

diameter÷2=radius=2.5"

2pi2.5=15.71

15.71×35=549.78

Answer:

65x

Step-by-step explanation:

Answer:

IJ = 12

Step-by-step explanation:

sum the parts of the ratios, 3 + 3 + 4 = 10 parts

Divide HK by 10 to find the value of one part of the ratio.

40 ÷ 10 = 4 ← value of 1 part of ratio , then

IJ = 3 parts = 3 × 4 = 12

Answer:

2 & 4

Step-by-step explanation:

There is a closed circle meaning the range is eqaul to or less than 4.

The range is -1 to 4 (not inclusive of -1)

Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

22-17

Step-by-step explanation: the sequence is going by -5

To find b, start by subtracting 20 from both sides:

50 = -1/3b + 20

-20 -20

30 = -1/3b

Now isolate b by dividing both sides by -1/3:

30/(-1/3) = (-1/3b)/(-1/3)

-90 = b

b is 90!

hope this helps !!

Answer:

-15

Step-by-step explanation:

-2 |5 - x| - 13

-2 |5 - 6| - 13

-2|-1| - 13

-2 - 13

-15

Hopefully this helps!

Brainliest please?

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides )

Here n = 5 , then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540

2b - 90 + 90 + b + 45 + b + [tex]\frac{3}{2}[/tex] b = 540, collect like terms

4b + 1.5b  + 45 = 540 ( subtract 45 from both sides )

5.5b = 495 ( divide both sides by 5.5 )

b = 90

then

2b - 90 = 2(90) - 90 = 180 - 90 = 90

b + 45 = 90 + 45 = 135

[tex]\frac{3}{2}[/tex] b = 1.5b = 1.5 × 90 = 135

The angles from least to greatest are

90° , 90° , 90° , 135° and 135°

Answer:

A = L + B = a2 + a√(a2 + 4h2))

Step-by-step explanation:

Answer:

C: (4, -12)

Step-by-step explanation:

graph starts at 48 and keeps going down by 4 making the x intercept stop at 4. y intercept goes down by 4 but stops on the negative side of 12. so (4,-12)

Answer:

x = 32

Step-by-step explanation:

The angle above 72° is 108° because they are supplementary angles, meaning they add up to 180°. Then we can set the equation 108° = (3x + 12)° because they are alternate interior angles, meaning that they are the same. So then we just solve for x.

108 = (3x + 12)

108 - 12 = 3x

96 = 3x

96 / 3 = x

32 = x

Answer:

16=c

17=d

Step-by-step explanation:

-4

Step-by-step explanation:

(n + 5)2 for n = -7

= (-7 + 5)2

= (-2)2

= -4

Another way :

(n + 5)2

= 2n + 10

= 2(-7) + 10

= -14 + 10

= -4

Answer:

D. 91,731

Step-by-step explanation:

91,731 would be the greatest number since it has the largest number in the ten-thousands place.