carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26​

Answer:

Surface area of a sphere=4πr

2

=154cm

2

⇒4×

7

22

r

2

=154cm

2

⇒r

2

=

4

154

×

22

7

⇒r

2

=

4

49

⇒r=

4

49

∴r=

2

7

=3.5cm

Volume of the sphere=

3

4

πr

3

=

3

4

×

7

22

×(3.5)

3

=

21

88

×42.875‬=179.67cm

3

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,

(100%+2%) of £1750

= 1.02 × £1750

= £1785 per month

Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,

Total Earning = 12 × £1785 = £21,420

As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be

Number of hours = 45 hours × 48 weeks = 2,160 hours

Now, the earnings per hour can be written as,

Earning per hours = £21,420/2,160 hours = £9.92/ hour

Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Learn more about Multiplication:

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        4x - y = -19

       4(4x - y) = 4(-19)

            16x - 4y = -76

Now, let's substitute the 'x' value in the equation.

Therefore, the answers are:

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

(-7, -9).

( x = -7 and y = -9)

Step-by-step explanation:

-3x + 4y = -15  

  4x - y   = -19

Multiply second equation by 4:

16x - 4y = -76

Add this equation to the first to eliminate y:

13x = -15 + -76

13x = -91

x = -7.

Substitute this into equation 2:

4(-7) - y = -19

-y = -19 + 28

-y = 9

y = -9.

Answer:

x=12

Step-by-step explanation:

since it is an equilateral triangle the angle r all the same the angle have to equal 60

Since it's a equilateral triangle.

[tex]\\ \sf\longmapsto 5x+5x+5x=180[/tex]

[tex]\\ \sf\longmapsto 15x=180[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Answer: See below

Step-by-step explanation:

The general transformation equation for an absolute value function is

y=a | x−h |+k.

f(x)=|x+4|

Horizontal translation 4 units left (positive value, move left)

f(x)=|x|-4

Vertical translation down 4 units (negative k value, move down)

f(x)=|x-4|

Horizontal translation 4 units right (negative value, move right)

f(x)=|x|+4

Vertical translation up 4 units (positive k value, move up)

Answer:

  C) The difference between the 75th and 25th percentiles is 12 inches.

Step-by-step explanation:

The interquartile range is the length of the "box" in a "box and whisker" plot. One end is the 25th percentile, and the other end is the 75th percentile. It is the difference between the maximum and minimum of the middle 50% of the data.

For the baker's loaf-length data set, the interquartile range being 12 inches means the loaves in the 75th percentile are 12 inches longer than the loaves in the 25th percentile. This could be described by choice C.

Answer:

A: 97/30x + 23

Answer:

asdasd

Step-by-step explanation:

asdasdasd

Answer:

city 1

paper towels 8.00 0.48 8.48

lamp 25.00 1.50 26.50

pack of gum 1.00 0.06 1.06

laundry soap 12.00 0.72 12.72

46.00 2.76 48.76

city 2

paper towels 8.00 0.64 8.64

lamp 25.00 2.00 27.00

pack of gum 1.00 0.08 1.08

laundry soap 12.00 0.96 12.96

46.00 3.68 49.68

Answer:uh 2 divide 1.19 and add 12 i think

Step-by-step explanation:

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: https://brainly.com/question/241541

Answer:

I need helpw with this is too

Step-by-step explanation:

the height of the box is 9 inches

Answer:

solution given:

total surface area of a box=160 square inches

let length, width, and height be l,b, and h respectively.

according to the question:

l=2b

∴b =[tex]\frac{l}{2}[/tex]

l=h-4

∴ h=l+4

we have

total surface area of a box=160 square inches

2(lb+lh+bh)=160

[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]

[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]

[tex]4l^2+12l=160[/tex]

[tex]4(l^2+3l)=160[/tex]

[tex]l^2+3l=\frac{160}{4}[/tex]

[tex]l^2+3l-40=0[/tex]

doing middle term factorization

[tex]l^2+(8-5}l-40=0[/tex]

[tex]l^2+8l-5l-40=0[/tex]

taking common from each two terms

l(l+8)-5(l+8)=0

(l+8)(l-5)=0

either

l=-8[neglected as length is always positive]

or

l=5

now

b=[tex]\frac{5}{2} =2.5[/tex]

h=5+4=9

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Number of ice cream produced before = 45

Number of ice cream produced after = 54

Percent of speed the machine increase

Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before

Percent of speed the machine increase = [(54 - 45) / 45]100

Percent of speed the machine increase = [9 / 45]100

Percent of speed the machine increase = 20%

https://brainly.com/question/15013012?referrer=searchResults

Percent of speed the machine increase is 20%

Answer:

52°C

Step-by-step explanation:

Capacity of tank be x

At end of journey the tank was half filled.

Now used percentage is 30%

[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]

Now

Expression:-

[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]

Answer: The wall of the ladder reaches 10.91 feet.

Explanation:

Formulate

√12^2 - 5^2

Evaluate

10.90871

Round

10.90871 ≈ 10.91

Therefore, the answer is 10.91 feet.

Answer:

10.91 feet

Step-by-step explanation:

Picture a right triangle with a hypotenuse of 12feet and a base of 5feet.

See the attachment.

Use the Pythagorean Theorem to solve.

Height = 10.91 feet.

Answer:

30? I might be wrong soooo

Step-by-step explanation:

15*2=30

Answer:

8x+29

Step-by-step explanation:

open the brackets the collect like terms together

Answer:

  (c)  Alicia, Bart, and Diego's answers are equivalent

Step-by-step explanation:

The perimeter of a square is the sum of the side lengths

  n + n + n + n . . . . . Alicia's answer

  = (n +n) +(n +n) = 2n +2n . . . . . Diego's answer

  = (2 +2)n = 4n . . . . . . Bart's answer

Alicia, Bart, and Diego's answers are equivalent.

Answer:

96 dried beans will weigh one pound

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

Answer:

Step-by-step explanation:

Let's take 4200 as an example.

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

Answer:

The answer to 2 is "acute".

The answer to 6 is "right triangle"

For 10, it actually is possible. An example is 50, 50, 80

Step-by-step explanation:

An acute triangle is when each angle is less than 90 degrees.

Any triangle with 90 degrees for one angle counts as a right triangle.

all angle measures in a triangle must add up to 180 degrees. Hope this helps!