Of two consecutive integers, four times the smaller is 30 more than three times the larger. Find both integers,

Answer:

SEE BELOW

Step-by-step explanation:

By mid point theorem:

1)

[tex] MO = 2\times CD\\\\

MO = 2\times 4\\\\

\huge\red {\boxed {MO = 8\: cm}} \\\\[/tex]

2)

[tex] NO = 2\times CE\\\\

NO = 2\times 8\\\\

\huge\purple {\boxed {NO = 16\: cm}} \\\\[/tex]

3)

[tex] MN= 2\times DE\\\\

MN = 2\times 7\\\\

\huge\purple {\boxed {MN = 14\: cm}} \\\\[/tex]

4)

[tex] 2(3x +1) = 20\\\\

3x + 1= \frac {20}{2}\\\\

3x + 1 = 10\\\\

3x = 10-1\\\\

3x = 9\\\\

x = \frac{9}{3} \\\\

x = 3\: units[/tex]

Answer:

Step-by-step explanation:

58(s-4)=0

58s-232=0

58s=232

S =232/58

S=4

Value of a is 4.

Answer:

Answer of this is... D... 59

According to the figure the value of ∠BOC is 59. So, the correct option is option D.

Given:

∠AOC = 77°

According to the figure ∠AOB = 3X and ∠BOC = 7X + 17

∠AOC = ∠AOB + ∠BOC.

Plugging the values in this equation.

Then we get,

77 = 3X + 7X + 17

Subtract 17 on both sides.

77 - 17 =  3X + 7X + 17 - 17

60 = 3X + 7X

After simplify we get,

60 = 10x.

X = 6

To find the ∠BOC.

∠BOC = 7X + 17.

Plugging the value of X in this equation.

∠BOC = 7 * 6 + 17

∠BOC = 42 + 17

∠BOC  = 59.

Therefore, the value of ∠BOC is 59.

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Answer:

3/5

Step-by-step explanation:

Answer:

4567

Step-by-step explanation:

sdjfgkh

Answer:

1880000

Step-by-step explanation:

1880 * 1000 = 1880000

Answer:

58.25

Step-by-step explanation:

C is the total cost of the meal, fifty-eight dollars and twenty-five cents.

First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.

To calculate the amount of the sales tax, use the proportion, amount of sales tax divided by cost of meal equals sales tax rate divided by one hundred.

Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.

Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.

Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.

Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.

Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.

Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.

And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.

Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.

Answer: 56.25

Step-by-step explanation:

Answer:

1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y). Look at the example graphs below of y = x2 and y = -x2. Notice the green graph is simply the same as the blue graph folded down

Answer:

8

Step-by-step explanation:

follow the graph

Answer:

D. 8

Step-by-step explanation:

Look for 4 the x axis and go up until you see the dot. Whatever is on the y-axis is your answer(8)

Answer:

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.

Step-by-step explanation:

Hope this helps

Answer:If they have the same length or if their parallel but that’s not always the case.

Step-by-step explanation:

Answer:

If the two lines have the same length and width.

Step-by-step explanation:

Correct me if I am wrong but I am pretty confident that it is the answer by going from logic.

Answer: 20 pieces of chocolate could be treated for 35 pieces of hard candy.

Step-by-step explanation:

Equation of direct proportion between two quantities x and y :

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Put [tex]x_1=4,\ y_1=7,\ y_2=35, x_2=x[/tex]

[tex]\dfrac{4}{7}=\dfrac{x}{35}\\\\\Rightarrow\ x=\dfrac{35\times4}{7}\\\\\Rightarrow\ x=20[/tex]

Hence, 20 pieces of chocolate could be treated for 35 pieces of hard candy.

1. 40,60,80

2.48,35,23.7

Answer:

61

Step-by-step explanation:

Because you need to use the Greater than or less than shortcut

Answer:

x = 18

These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.

Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180

10x + 0 = 180

10x = 180

x = 180/10

x = 18

Answer:

59 years and younger

Step-by-step explanation:

Answer:

10 is more than h

Step-by-step explanation:

sub 14 add  to 6 divid by two switch signs and poof

Answer:

10>h  

Step-by-step explanation:

-6< -2h+14

-6-14<-2h

-20<-2h

 -2 <-2           when you divide by a negative number you must reverse the

10>h                inequality sign

Answer:

12

Step-by-step explanation:

f(x) = 3x

f(4) = 3(4) = 12

just need to sub in the x value :)

Topic: Functions

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

12

Step-by-step explanation:

3x x=4

4x3=12

..

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.

.

.

.

Answer:

5x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

12.8

Step-by-step explanation:

8÷5/8 is also the same as:

8 x 1/5 x 8

Proof:

Answer:

Step-by-step explanation:

I used a site it won't let me mention... for this graph

This is if "vertical compression by a factor of 1/3, vertical shift up 5 units" translates to...

[tex]f(x)=\frac{1}{3} (x^2+5)[/tex]

The equation that has vertical compression by a factor of 1/3, vertical shift up 5 units will be y = (1/3)x² + 5.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertical compression by a factor of 1/3, vertical shift up 5 units.

a = 3

(h, k) = (0, 5)

Then the equation will be

y = 1/3(x – 0)² + 5

y = (1/3)x² + 5

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Answer:

20

Step-by-step explanation:

11+9=20 :)

Answer:

ok so 9+11 is 20. you start with 11 and add 9 to it using your fingers if needed:

11,12,13,14,15,16,17,18,19,20

Step-by-step explanation:

Answer: 2 3/4 a + 1/5 b

Step-by-step explanation:

Add the like terms

The solution of the given expression is equal to 7a/4 + b / 5.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 2a + (3/4a + 1/5b). The given expression will be solved as below,

E = 2a + (3/4a + 1/5b)

E = 2a + (3/4)a + (1/5)b

E = 7a/4 + b / 5

Therefore, the solution of the given expression is equal to 7a/4 + b / 5.

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Answer:

It is 19,953. Your welcome

Answer:

99,765/5= 19953 :)

Step-by-step explanation:

Answer:

$72 is your answer

Step-by-step explanation:

hope this helps ♡