one-fourth of a number and 6 is the same as 3 subtracted from the number itself
(turn the sentence into an equation)

Step-by-step explanation:

You have to use pythagoras' theorem for this.

So AC is the length you want to find.

Pythagoras' theorem is a^2+b^2=c^2

In your triangle, AB=a, BC=b and AC=c

6^2+8^2=Ac^2

36+64= AC^2

100=AC^2

Square root both sides

10=AC

Therefore AC=10m

The number of students in the class = 20

"It is a number or ratio that can be expressed as a fraction of 100."

For given example,

30 percent of the students in your class like basketball.

We need to find the total number of students if 6 students like basketball.

Let there are 'x' students in the class.

⇒ x × 30% = 6

⇒ x × (30/100) = 6

⇒ x = 6/0.3

⇒ x = 20

Therefore, there are 20 students in the class.

Learn more about percent here:

brainly.com/question/22111589

#SPJ2

Answer:

y-intercept: 2

x-intercept: -2, 4

Step-by-step explanation:

Y-intercepts and x-intercepts are points on the graph that are on the y-axis and x-axis, respectively.

Looking at the graph, the graph passes through the y-axis at y=2. Therefore, the y-intercept is 2.

Looking at the graph, the graph passes through the x-axis at x=-2 and x=4. Therefore, the x-intercepts are -2 and 4.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{13}{24}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{5 \frac{5}{12} - 2 \frac{7}{8} }[/tex]

Convert the mixed number into improper fraction

[tex] \longrightarrow \sf{ \frac{5 \times 12 + 5}{12} - \frac{8 \times 2 + 7}{8}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{60 + 5}{12} - \frac{16 + 7}{8} }}[/tex]

[tex] \longrightarrow{ \sf{ \frac{65}{12} - \frac{23}{8}}} [/tex]

Take the L.C.M of 12 and 8

To find out the L.C.M , first of all find the prime factors of each numbers.

12 = 2 × 2 × 3

8 = 2 × 2 × 2

Take out the common prime factors : 2 and 2

Also, take out the remaining prime factors: 3 and 2

Multiply those all prime factors and obtain L.C.M

= 2 × 2 × 3 × 2 = 24

L.C.M. of 12 and 8 = 24

[tex] \longrightarrow{ \sf{ \frac{65 \times 2 - 23 \times 3}{24} }}[/tex]

[tex] \longrightarrow{ \sf{ \frac{130 - 69}{24}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{61}{24}}} [/tex]

Convert the improper fraction into mixed number

[tex] \longrightarrow{ \sf{2 \frac{13}{24}}} [/tex]

Hope I helped!

Best regards! :D

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

61/24

Decimal Form:

2.5416

Mixed Number Form:

2 13/24

Step-by-step explanation:

Answer:

g = -7

I hope this helps!

Answer:

(2,-2)

Step-by-step explanation:

(5+(-1))/2=4/2=2

(-5+1)/=-4/2=-2

Answer:

the correct answer is (-5)(-9) or A for short

Step-by-step explanation:

Answer:

The answer would be 50.2

Step-by-step explanation:

Answer:

She could  make the triangle smaller by making the same triangle but smaller and add the same sides to the small triangle.

scale factors she could use to make the triangle smaller is [tex]\frac{1}{2}[/tex]

Given :

Priya drew a triangle with the side lengths 3, 4, 5

Given options are :

1.) 1/2

2.) 1

3.) 2

4.) 6

Explanation :

The ratio of the measurement of the corresponding sides of a triangle is a scale factor .

When we multiply the side length by a scale factor >1 that gives a bigger scaled copy

When we multiply the side length by a scale factor <1 that gives a smaller scaled copy

From the given options , scale factor 1/2 is less than 1

So 1/2 is the scale factor that could use to make the triangle smaller

Learn more :

brainly.com/question/17819925

Answer:

[tex]5.3\times 10^{-11}\ m[/tex]

Step-by-step explanation:

In this problem, we need to express 53 pm in which is the size of a hydrogen atom, in scientific notation.

Any number can be expressed in scientific notation as follows :

[tex]N=a\times 10^b[/tex]

a is any real no and b is any integer

We know that, 1 pm = [tex]10^{-12}\ m[/tex]

It means, [tex]53\ pm=53\times 10^{-12}\ m[/tex]

or

[tex]53\times 10^{-12}\ m=\dfrac{53}{10}\times 10^{-12}\times 10\\\\=5.3\times 10^{-12+1}\\\\=5.3\times 10^{-11}\ m[/tex]

Therefore, the above is the scientific notation for the size of a hydrogen atom.

Answer:

4.3lb

Step-by-step explanation:

4.3lb is more precise out of the answer choices of 4lb and 4.3lb because 4.3lb is an exact weight whereas 4lb could be rounded.

Answer:

Because  a drop in temperature means decrease in temperature therefore, we take an integer  with negative sign and added to previous temperature.

Step-by-step explanation:

Drop in temperature means decrease in the temperature .When the temperature decreases then we take decrease value of temperature in negative integer. Because decrease means the temperature fall  down  .Hence , the  decrease in temperature measure with negative sign .

For example,  if we take temperature T= 70°C.

If the temperature decreases by 5°c  then the temperature

Decrease in temperature=-5°C

Hence, the temperature T= 70+(-5)=65°C.

Therefore , from example we can say that when temperature decreases by some value in integer . Then ,we get final  temperature obtained  by adding  drop in temperature ( negative integer  ) in previous value of the temperature.

Answer: Sample reasopnse

A drop in temperature means the temperature will decrease. That decrease is represented by a negative integer, which should be added to the previous temperature.

Step-by-step explanation:

1. The sum of four and nine times three

2. eighteen divided by the sum of two and seven  

                            [tex]\bold{\dfrac{18}{2+7}}[/tex]

or:  18÷(2+7),   or:  18/(2+7)

3. Ten divided by the product of four and five  

                            [tex]\bold{\dfrac{10}{4\times5}}[/tex]

or:  10÷(4×5), or:  10/(4×5)

4. The Difference of eleven and four times five  

5. The sum of one and two divided by twenty

                              [tex]\bold{\dfrac{1+2}{20}}[/tex]

or:   (1+2)÷20,  or:   (1+2)/20

6. The sum of two and four and six times eight  

7. The sum of twelve and sixteen divided by the sum of three and four

                               [tex]\bold{\dfrac{12+16}{3+4}}[/tex]  

or:   (12+16)÷(3+4),   or:   (12+16)/(3+4)

8. The difference of twenty-two and six divided by the sum of five and three

                              [tex]\bold{\dfrac{22-6}{5+3}}[/tex]

or:  (22 - 6)÷(5+3),  or:  (22 - 6)/(5+3)    

Answer:In the following activity, write an equation to represent each verbal statement, and use it to find the value of each unknown number. Then, put the solution values in order from smallest to largest. [Note: The smallest solution is "first", and the largest solution is "fifth".]

1. fourth

The sum of a number and two is equal to the quotient of six and negative four.

2. first

The sum of a number and three is divided by five. The result is negative two.

3. third

The difference between a number and five is multiplied by negative two. The resulting product equals fourteen.

4. second

Half of a number is added to four. This sum is equivalent to negative one.

5. fifth

The difference between four times a number and five has a result of negative eight.

Step-by-step explanation:

2.64 is greater than 1.9

Answer:9/25

Step-by-step explanation:

Because .36=36/100. Then, divide by four for numerator and denominator

Answer:

9/25

Step-by-step explanation:

0.36 = 9

25

as a fraction

To convert the decimal 0.36 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.36 = 0.36

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.36

1

= (0.36 × 100)

(1 × 100)

= 36

100

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(36,100) = 4. So,

(36÷4)/(100÷4)

= 9

25

when reduced to the simplest form.

Answer:

Mean Absolute Deviation = 2.4

Step-by-step explanation:

Find you have to find the mean (average):

3 + 5 + 7 + 9 + 11 = 35

35 / 5 = 7

Mean = 7

The mean absolute deviation is the mean (average) of the distance from the other numbers (absolute means that if the number is negative it turns into a positive):

3 - 7 = 4

5 - 7 = 2

7 - 7 = 0

9 - 7 = 2

11 - 7 = 4

Now we have to find the mean of this numbers:

4 + 2 + 0 + 2 + 4 = 12

12 / 5 = 2.4

Mean Absolute Deviation = 2.4

Answer:

2.4

Step-by-step explanation:

Hope I helped :)

Answer:

8x-4

Step-by-step explanation:

(3x-5)+(5x+1)

=3x-5+5x+1

=8x-4

Answer:

700

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

3(4)+2

12+2

14

Answer:

the ten is the year and the middle number is the day and the 1st number is the   month

Step-by-step explanation:I'm in the 9th grade so we have to do this many times TwT

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,4) and (-2,9)

The midpoint is

We have the final answer as

Hope this helps you

Answer:

Foul language, Cyber bullying, send innapropriate photos.

The way I cam improve my ettiquite  by practicing these things.,

Step-by-step explanation:

Answer: 252

Step-by-step explanation:

The amount of tax paid by Sarah last month is £252.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Sarah's gross income last month was £1260. She pays 20% tax on her gross income.

The tax amount is calculated by taking 20% of the gross income £1260.

Tax amount = 20% of £1260.

Tax amount = £1260 x 20 /100

Tax amount = £1260 / 5

Tax amount =£252.

Therefore, the amount of tax paid by Sarah last month is £252.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer:

105.12 ft^2

Step-by-step explanation:

Area of rectangle = 8 × 10 = 80 ft^2

Area of semicircle = 1/2π × 4^2

4 is the radius of the semicircle.

Since we use 3.14 to approximate π...

Area of semicircle = 1/2× 3.14 × 4^2 = 25.12

∴Total area = 25.12 + 80 = 105.12 ft^2

Answer: 105.12ft²

Step-by-step explanation: first we need to find the area of the rectangle with the formula: length × width so, 8ft × 10ft = 80 ft².

Now we can find the area of the semicircle with the formula: πr²÷ 2 so, (3.14 × 4²) ÷ 2 = 25.12ft². Now we need to calculate the area of the whole shape and we can do this by adding together our rectangle and semicircle so, 80ft + 25.12ft = 105.12ft².

Answer:

-32n-32=8n+48

-8             -8

 -40n-32=48

      +32   +32

-40=80

-40/-40=80/-40

n=-2

Answer:

75/7 = 105/7 (ten whole number, five over seven)

Step-by-step explanation:

1/3n + 25 = 2n

n is the number

n/3 + 25/1 = 2n

n + 75/3 = 2n

cross multiply

n + 75 = 6n

75 = 7n

n = 75/7

n = ten whole number, five over seven (105/7)

Answer:

8.33

Step-by-step explanation:

Answer:

96 cm²

Step-by-step explanation:

The lateral surface area (A) is the sum of the areas of the 4 slant faces.

The faces are triangular with area [tex]\frac{1}{2}[/tex] bh , thus

A = 4 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 2 × 48 = 96 cm²

Step-by-step explanation:

A function is such that every element in the domain has only 1 image in the range. The domain here are the x-values while the range is the y-values.

However a vertical line can cross the graph more than once. Hence the graph is not a function.