Answer:
Please check the explanation.
Step-by-step explanation:
A number line is a horizontal line with negative values on the left-hand side of an arbitrary number 0 and positive values on the right-hand side of 0.
The location of point A on a number line = -24
The location of point C on a number line = 36
The distance between -24 and 36 can be simply calculated by counting the number of units between.
Starting from -24, we would need to move 24 units on the right side to reach the 0 and 36 units right to reach 36.
So, the total units will be: 24+36 = 60
A second simple method to calculate the distance between point A and point C is:
Distance between A and C = location of C - location of A
= 36 - (-24)
= 36+24
= 60 units
Thus, the distance between A and C is 60 units.
Now, point B is located halfway between point A and point C.
Thus,
The point B must be 30 units before (30 units on the left side) of the point C. In other words, point B must be 30 units after (30 units on the right side) of point A.i.e.
The location of point B = The location of point C - 30
= 36 - 30
= 6
Thus, point B is located at 6.
Verification:
The location of point B = The location of point A + 30
= -24 + 30
= 6
Thus, point B is located at 6.
Thus, it is verified that point B, halfway between point A and point C.
Hence,
'6' is the value of point B halfway between point A and point C.
A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?
(Please help)
Answer: 3 1/2
Step-by-step explanation:
Yes
Answer:3 1/2
Step-by-step explanation:
Four friends share 10 fruit bars equally. How many fruit bars does each friend get?
Answer:
2.5
Step-by-step explanation:
10 / 4 = 2.5
(need help ASAP!) A moving truck has 10 feet ramp that is used to put furniture in the truck. The ramp touches the ground 8 feet from the back of the truck. How high off the ground is the ramp meet the back of the moving truck?
5. 0384748939
Step-by-step explanation:
let's take the ramp, if u draw a diagram 8, 10 and the unknown value makes a right angled triangle
So according to pythogaraos(dnot care the spelling) theorem a square + b square = c square
Now 10 is the hypothenuse, so let's rearrange them as c square - b square = a square
now apply the values, 10 square - 8 square = X square
100 - 64 = X square
36 = X square
now root of 32 is-------
I MESSED UP I GUESS
△ABC∼△EFG.
Given m∠A=39° and m∠F=56°, what is m∠C?
Answer:
x=85
Step-by-step explanation:
let's angle c be x
39+56+x=180
95+x=180
x=180-95
x=85
Answer:
85 degrees
Step-by-step explanation:
In similar triangles, corresponding angles are congruent, or have the same measure.
Therefore, angle B must also be 56 degrees. In a triangle, there are 180 degrees.
A+b+c=180
39+56+c=180
c=85 degrees.
Which of the following is the point-slope form of the equation of the line with slope 4
that crosses the point (1, 3)?
Oy-1= 4(x – 3)
Oy+1= 4 (2+3)
Oy-3= 4(x - 1)
Oy+3 = 4(x+1)
Answer:
Third option
[tex]y-3=4(x-1)[/tex]
Step-by-step explanation:
Equation of straight line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
Here
slope=m=4 and [tex](x_1, y_1) = ( 1, 3 )[/tex]
Equation of straight line having slope 4 and crossing from point (1, 3) is given as
[tex]y-3=4(x-1)[/tex]
A meal costs $30 before tax and tip. There is a 7% sales tax. After the tax, a 20% tip is added. What is the total after tax and tip?
Answer:
The total is $38.1
Step-by-step explanation:
The tax is $2.1, The tip is $6.
Percentage is the part of the whole expressed in the fraction of hundred.
The total cost of the meal after the tip and tax is $38.1.
What is percentage of a number?
Percentage of a number or ratio expressed in the form of fraction of hundred.
Given information-
The total cost of meal before tax and tip is $30.
The total sales tax is 7%.
The tip added to the cost of meal is 20%.
As, the total sales tax is 7% and cost of the meal is $30. Thus the total sales tax amount is,
[tex]s_t=30\times\dfrac{7}{100} \\s_t=2.1[/tex]
Thus the amount of sales tax is 2.1.
As the the tip added to the cost of meal is 20% and the cost of the meal is 32.1 after the tax. Thus the amount of meal after the 20 % tip is,
[tex]s_t=30\times\dfrac{20}{100} \\s_t=6.00[/tex]
The amount of the tip of the meal after the tax is $6.00.
The cost of meal after the tip and tax is,
[tex]C=30+2.1+6\\C=38.1[/tex]
Hence the total cost of the meal after the tip and tax is $38.1.
Learn more about the percentage of a number here;
https://brainly.com/question/19247356
what is 8x3 and 7x8 can you please answer thisplease
Answer:
24 and 56
Step-by-step explanation:
8*3=24
7*8=56
Review the incomplete steps in the derivation of the tangent sum identity.
A 2-column table with 5 rows. Column 1 has entries Step 1: Original expression, step 2: rewrite using the definition of tangent, step 3: apply the sine sum identity and cosine sum identity, step 4: question mark, step 5: simplify using the definition of tangent. Column 2 has entries tangent (x + y), StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartFraction sine (x) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction, blank, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction.
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)
Answer:
D divide both the numerator and denominator by cos(x)cos(y)
Step-by-step explanation:
just took test
The derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).
What is trigonometric identity?The trigonometric identities is the relationship between the different trigonometric ratios.
These trigonometric identities are the basic formulae that are true for all the values of the reference angle.
For the given situation, the derivation for the tangent sum identity is given in the table below.
The derivation follows the steps,
[tex]\dfrac{sin (x+y)}{cos (x +y)}[/tex]
we know that,
sin (x + y) = sin x cos y + cos x sin y
cos (x + y) = cos x cos y - sin x sin y
Substitute;
[tex]\dfrac{sin x cos y + cos x sin y}{cos x cos y - sin x sin y}[/tex]
Divide each term by cos x cos y
[tex]\dfrac{\dfrac{sin x cos y}{cos x cos y} + \dfrac{cos x sin y}{cos x cos y} }{\dfrac{cos x cos y}{cos x cos y} - \dfrac{sin x sin y}{cos x cos y} }[/tex]
Now, [tex]\dfrac{tan x + tan y}{1 - tan x tan y}[/tex]
Hence we can conclude that the derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).
Learn more about trigonometric identity here;
brainly.com/question/15858604
#SPJ5
Someone help me plz
Solve for d.
2 = 2(d - 7)
Answer:
should be 6to make is one so you can multiply it by 1 to get the same number
Step-by-step explanation:
Answer:
D = 8
Step-by-step explanation:
distribute
2 = 2d - 14
add 14 to both side
16 = 2d
divide both sides by 2
8 = d
d = 8
can I get brainliest ?
Use substitution to solve the
following system of equations.
-10x + 2y = 20 AND y = 3x + 2
pls pls help!
Answer:
(- 4, - 10 )
Step-by-step explanation:
Given the 2 equations
- 10x + 2y = 20 → (1)
y = 3x + 2 → (2)
Substitute y 3x + 2 into (1)
- 10x + 2(3x + 2) = 20 ← distribute parenthesis and simplify left side
- 10x + 6x + 4 = 20
- 4x + 4 = 20 ( subtract 4 from both sides )
- 4x = 16 ( divide both sides by - 4 )
x = - 4
Substitute x = - 4 into (2) for corresponding value of y
y = 3(- 4) + 2 = - 12 + 2 = - 10
solution is (- 4, - 10 )
Doea the equation 6y=18x represent a direct variation? If it does, what is the constant of variation
Answer:
Yes
3
Step-by-step explanation:
a direct variation is written in the form
y = kx
k is a constant which is usually non zero.
6y = k18x
k = 3
An increase in x would lead to an increase in y
Look at the image bel9w
Answer:
it's your answer
Step-by-step explanation:
60+5(6÷2)
60+30÷10
60+3
63
18+(10-6)square
18+(100-36)
18+64
82
What is the y-intercept in this equation?
6x + 3y = 24
Answer: y=−2x+8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Let's rewrite this in slope intercept form, and isolate y on the left side. First, subtract 6x from both sides:
3y = 24 - 6x
Then divide both sides by 3:
y = -2x + 8
Now that it's in y = mx+b form, we can see that the slope is -2, and the y intercept is 8.
Hope this helps!
Given: 3x - 2 ≤ 2x + 1.
Choose the solution set.
{x | x R, x ≤ 1}
{x | x R, x ≤ 3}
{x | x R, x ≤ -3}
{x | x R, x ≤ -1}
Answer:
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ second\ is \ correct . }}} [/tex]
Step-by-step explanation:A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-
[tex]\bf\implies 3x -2 \leq 2x + 1 \\\\\bf\implies 3x -2x \leq 2 + 1 \\\\\bf\implies x \leq 2 + 1 \\\\\bf\implies\boxed{\red{\bf x \leq 3 }}[/tex]
This means that the value of x can be less than or equal to 3 . That is it means x ≤ 3. So , the required solution set will be ,
[tex]\boxed{\purple{\bf \{x | x \in \mathbb{R} , x \leq 3 \}}}[/tex]
Hence the second option is correct.Answer:
second option is correct:)
Step-by-step explanation:
11 (9+ d)
simplify
help me pleas
Answer:
it issss 99+11d :)
Step-by-step explanation:
hope I helped
Answer:
99 + 11d
Step-by-step explanation:
11(9+d)
distribute the 11 into the ( )
99 + 11d
Hope this Helps!!!
(20 PTS) WILL GIVE BRAINLIST
Which statement best describes the area of the triangle shown below?
A coordinate grid is shown with a triangle. The base is 4 units, and the height is 4 units.
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a square of side length 4 units.
Answer: 3rd one I think
Step-by-step explanation: I had smth like this
Answer:
You got it right! The answer is [A].
Step-by-step explanation:
Visualize a rectangle 4 units long and 2 units wide. Doesn't each part of the triangle seem to be a half of different parts of the rectangle?
Select the equation that is true.
Answer:
you didnt attach anything
Step-by-step explanation:
A savings account increases from $200 to $210 what is the percent increase of the savings in the account.
Answer:
5%
Step-by-step explanation:
10/200 × 100 = 5
hope this helps...
A customer wants to purchase a sweater from a store.
• The original price of the sweater is $40.
• The sweater is on sale for 20% off the original price.
• A sales tax of 5% is applied after the discount.
What was the final price of the sweater?
Answer:
$33.60
Step-by-step explanation:
multiply 40 by 0.20 = 8 subtract 8 from 40= 32 x 0.05 is 1.6 so its 33.6
What is the slope of the line that contains these points
Answer:
slope is 5 hope it helps lol lol lol lol
please help for bainlest
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} -\frac{1}{3}[/tex]
Find the common denominator and multiply each side by that number
[tex]\frac{9}{12} -\frac{4}{12}[/tex]
[tex]\frac{5}{12}[/tex]
For bolded part in explanation: 4·3=12 3·3=9
3·4=12 1·4=4
expand and simplify (x-4)(x-1)
Step-by-step explanation:
(x - 4)(x - 1)
= x² - x - 4x + 4
= x² - 5x + 4.
Answer:
[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]
(x^2-5x+4) is the right answer.Here is a list of numbers:
10, 3, -2, 19, -19, 4, 13, 6, 7
State the median.
Answer:
the answer is 6
Step-by-step explanation:
10. The hour hand of a clock is 8 cm long.
What area does it cover in:
(a) 12 hours?
what is 1000 times 4
Answer: 4000
Step-by-step explanation:
Answer:
its 4000 right
Step-by-step explanation:
1000
x 4
-------
4000
tia has 4 more than 1/2 the number of pairs of earrings that Ebony has. Together they have 25 pairs of earrings. How many pairs of earrings does each girl have?
Jamie pays $25 to enter a water park. He must pay $5 per hour to rent a locker to store his
personal items. Which algebraic expression represents the situation? (17.8)
o 5h + 25
O 25h + 5
O 5h. 25
O 25h. 5
< Previous
Next →
Answer:
5h+25
Step-by-step explanation:
Jamie pays $25 and $5/h so 5h+25
Standard form 3x-- 3y - 12 Slope intercept form
Answer:
Slope - intercept form
y = x - 4
Step-by-step explanation:
Explanation:-
Given standard form
3 x- 3y - 12 = 0
Slope - intercept form
y = m x + c
Given straight line
3 x- 3y - 12 = 0
⇒ 3 x - 3 y = 12
Dividing by '12' on both sides, we get
[tex]\frac{3x}{12}- \frac{3y}{12} = 1[/tex]
[tex]\frac{x}{4}- \frac{y}{4} = 1[/tex]
x - y = 4
Final answer:-
Slope - intercept form
y = x - 4
Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.
Answer:
12x+20
Step-by-step explanation:
Perimeter of a garden = 4s, s being the length of the side
In this case, s = 3x+5
substitute the equation
4(3x+5)
=12x+20