In a fruit survey , 30 children choose their favourite
fruit out of apples, bananas and watermelon.10% choose
apples, 30% choose bananas. How many children choose
watermelon?​

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

Answer:

Step-by-step explanation:

(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷

Answer:

the answer to this question is (-3/7)^7

Answer:

Answer: Expression that represents the length of one side of the square is x - 5.

Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.

Answer:

11.3

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

8^2+8^2=128

the square root of 128 is 11.3137085

then you round to the nearest tenth and get 11.3

Answer:

Step-by-step explanation:

2n+15>3

Answer:

2x + 15 > 3

IS THIS RHIGT?

eXPLANATION :

Twice a num = 2(x)

sum of it and 15 = 2x + 15

is greater than 3 = >3

so : 2x + 15 > 3  

Answer:

.75

Step-by-step explanation:

Because three divided by four is .75

Answer:

Question 22: 0.75 or 75%

Question 23:   5:2

Step-by-step explanation:

Question 22: 3 divided by 4 equals 0.75

Question 23:  

2.5  = 2.5/1

2.5 × 10/10 equals 25/10

25/10 divided by 5 equals 5/2

5/2= 5:2

Answer:

-8x

Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer: c = 1.05p

Step-by-step explanation:

Price of the hat = p

Percentage increase in the price of the hat = 5%

The equation to calculate the increase of the total cost, c, of the hat will be:

c = p + (5% × p)

= p + (5/100 × p)

= p + (0.05 × p)

= p + 0.05p

c = 1.05p

Answer: $10,298.80

Step-by-step explanation:

Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.

His Social Security tax is therefore:

= 6.2% * 132,900

= $8,239.80

There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.

Medicare = 1.45% * 142,000

= $2,059

FICA tax = Social security + Medicare

= 8,239.80 + 2,059

= $10,298.80

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

hope it's helpful ❤❤❤

THANK YOU.

Answer:

4.35

Step-by-step explanation:

If the divisor have decimal places, multiply by 10, 100 ....

As denominator has one decimal place multiply denominator & numerator by 10

[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]

= 4.35

Answer:

3600 watt-hours consumed per day.

Step-by-step explanation:

First we'll want to find how many hours are in 3 days and 6 hours.

3 x 24 = 72 + 6 = 78

78 hours is 3 days and 6 hours.

We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.

11700 / 78 = 150

Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.

150 x 24 = 3600

Answer:

5

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

since the slope of the green line is 5, the the red line will have the same slope as the green line,

The slope of the red line will therefore be 5

Answer:

since,

y = 2x and y = –2x + 15

then,

2x = –2x + 15

or, 4x = 15

or, x = 15/4

or, x = 3.75

Also,

y= 2x

= 2*3.75

= 7.5

Hope it helped

All the best!!

Answer:

Step-by-step explanation:

[tex]x^{2} = -2x^{2} +15[/tex]

add [tex]2x^{2}[/tex] to both sides

[tex]3x^{2} = 15[/tex]

divide each side by 3

[tex]x^{2} =5[/tex]

square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]

[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]

Answer:

no it is not correct

Step-by-step explanation:

it's kind of hard to explain in words so I'm sorry about that

hope it helps

Answer:

A. 5x/3y+x=5×6/(3×-4)=30/-12=-10/4=-5/2

B. 2x (square) - y (cube)=2×6²-(-4)³=72--64=72+64=136

Answer: h(-1) is -3.

Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.

2(-1) - 1

= -2 - 1

= -3.

Answer:

h (-1)  

  -3

Step-by-step explanation:

h (-1) = 2 (-1) - 1

simplify 2.. (-1) - 1

answer= -3

Answer:

Its a or c sorry if im wrong

(hope this helps :D hehe)

Step-by-step explanation:

Answer:

Please insert a graph.

Step-by-step explanation:

If you submit a picture of the graph on here, I will see how how I can help.

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]

----------------------------------------------------------------------------------------

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

6x-y = -18

Step-by-step explanation:

Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

Answer:

the answer would be x=3,1

Answer:

After completing the square, we can say:

(x - 2)² = 1

If we solve for x, this tells us that x has a value of both 1 and 3.

Step-by-step explanation:

Given:

x² - 4x + 3 = 0

We can complete the square by adding 1 to both sides:

x² - 4x + 4 = 1

(x - 2)² = 1

We can then solve for x by saying:

(x - 2)² = 1

x - 2 = √1

x = 2 ± 1

x = 1, 3

Answer:

si=Ptr/100

and di solution

Answer:

The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is given as follows;

Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1)

Step-by-step explanation:

The coordinates of he vertices of the triangle QRST are;

Q(1, 3), R(3, -3), S(0, -2), T(-2, 1)

A rotation of a point with coordinates (x, y) 180° about the origin gives;

The coordinate of the point of the preimage before the rotation = (x, y)

The coordinate of the point of the image after the rotation = (-x, -y)

Therefore we have;

The image of point Q(1, 3) after 180° rotation = Q'(-1, -3)

The image of point R(3, -3) after 180° rotation = R'(-3, 3)

The image of point S(0, -2) after 180° rotation = S'(0, 2)

The image of point T(-2, 1) after 180° rotation = T'(2, -1)

The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is therefore, Q'(-1, -3), R'(-3, 3), S'(0, 2), and T'(2, -1);

Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1).

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

Answer: circle

A=452.39ft2

R radius 12

A=πr 2=π. 12 ‘2=452.38934ft’2

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Answer:

6.37 x 10^-2 =0.0637