Answer:
x= 8, 3
Step-by-Step Explanation:
[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]
[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]
The hard-cover edition of a book cost 3 times as much as the paperback edition. Both editions together cost $26.60. Find the cost of each.
Answer:
the hardcover is 19.95, and the parback is 6.65. enjoy.
Make x the subject of y=3x-2
Answer:
To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.
Step-by-step explanation:
Answer:
[tex]x = \frac{y + 2}{3} [/tex]
Step-by-step explanation:
[tex]y = 3x - 2 \\ y + 2 = 3x \\ \frac{y + 2}{3} = \frac{3x}{3} \\ \\ x = \frac{y + 2}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the volume of the cone using pi/3.14 using the numbers 2and 3
Answer:
V=π*r^(2)*h/3
Step-by-step explanation:
What is the decimal multiplier to increase by 39%?
The decimal multiplier to increase by 39% is 1.39
A decimal multiplier is used when determining the percentage of a particular amount.
From the information given:
the decimal multiplier required to increase by 39% can be determined as follows:
[tex]\mathbf{=\dfrac{100}{100} + \dfrac{39}{100}}[/tex]
[tex]\mathbf{=1 +0.39}[/tex]
= 1.39
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What is the square root of 9?
Answer:
±3
Step-by-step explanation:
sqrt(9)
3*3 = 9
-3*-3 = 9
sqrt(9) = ±3
Factorise 25x+15 thank you for the help
Answer:
5(5x + 3)
Step-by-step explanation:
Given
25x + 15 ← factor out the common factor 5 from each term
= 5(5x + 3) ← in factored form
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera
8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to
monitor every customer who enters and exits the store. At want angle of depression should
Harry set the camera to capture the faces of all customers? Use a diagram and
mathematical calculations to help you explain your answer.
Answer: The angle of depression would be 26.57°
Step-by-step explanation: Please refer to the attached picture for further details.
What harry has done has effectively led to the formation of a right angled triangle. As shown in the diagram, the camera has been mounted at a height of 8 feet above the ground. Also he mounts the camera at a horizontal from the entrance, which puts the camera at 16 feet away from the entrance (not from the ground). In order to capture every movement at the entrance, the camera range would be determined by an angle which covers everything from top to bottom of the entrance. That gives you the angle of depression which is at the point labelled CAMERA in the triangle.
Having determined two sides and an angle (unknown) in a right angled triangle, we shall use the trigonometric ratios as follows;
Tan ∅ = Opposite/Adjacent
Where the opposite is 8 (side facing the reference angle) and the adjacent is 16 (side that lies between the reference angle and the 90 degree angle)
Tan ∅ = 8/16
Tan ∅ = 0.5
By use of a calculator,
∅ = 26.5650
∅ ≈ 26.57
Therefore the angle of depression of the surveillance camera should be 26.57°
5 times a number is 14 less than the square of that number. find the negative solution.
Answer: The negative solution is -2
Step-by-step explanation:
[tex]5x+14=x^2\\x^2-5x-14=0\\\\(x-7)(x+2)=0\\x_1=7\\x_2=-2[/tex]
What is the value of x if:
-0.1x + 3/10 = 4/10
Solve as linear equation.
NEED HELP ASAP
Answer:
x= -1
Step-by-step explanation:
Solving through linear equation,
-0.1x + 3/10= 4/10
Bring 3/10 to the other side making it minus
-0.1x = 4/10 - 3/10
-0.1x = (4-3)/10
-0.1x= 1/10
Bring -0.1 to the other side n divide
x= 1/10 ÷ -0.1
( Note that -0.1 is the same as -1/10)
x = 1/10 ÷ -1/10
= 1/10*-10/1
= -10/10
= -1
Ben has b dollars. Cam has 7 fewer dollars than Ben.
How many dollars does Cam have?
Answer:
Cam has b-7 dollars
Step-by-step explanation:
¿Cual es el perímetro de un hexágono regular cuyo lado mide 16,5cm?
Step-by-step explanation:
6(16.5 cm) = 99 cm
In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four winners, each of the winners would receive $ 540,000. How many winners are there if everyone has $ 144,000?
a) 12 winners
b) 15 winners
c) 16 winners
d) 18 winners
( if your doing this can you please do it step by step )
Answer:
b) 15 winners
Step-by-step explanation
if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.
(2,160,000/ 144,000)
The upper and lower quartiles are the _______________ of each half of the data.
A. mean
B. mode
C. median
D. none of the above
Answer:
A..... I guess the answer must be A
Which best describes the function?
Answer:
The last option on the list.
Step-by-step explanation:
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 + 24 = x 18 squared + 24 = x (18 + 24) squared = x squared 18 squared + 24 squared = x squared
Answer:
A triangle has side lengths 18, 24, x.
18 + 24 = x
18 squared + 24 = x
(18 + 24) squared = x squared
18 squared + 24 squared = x squared
Step-by-step explanation:
The right triangle hypotenuse has its length 18² + 24² = x².
What is hypotenuse?In a right triangle, the "side opposite to the right angle is hypotenuse".
According to the question,
In right angle triangle, sides are 18, 24, x. Where 'x' is the hypotenuse of the right angle triangle. In right angle the opposite angle is 90⁰ . In order
to find hypotenuse,
18 + 24 = x
18² +24 =x
(18+ 24) ² = x²
18² + 24² = x²
Hence, the right triangle hypotenuse has its length 18² + 24² = x².
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P= $450 r=6% t= 3 what is I ?
Answer:
535.96 (rounded up)
Step-by-step explanation:
Y= a ( 1 + r )^t
Solve.
a + 1 = Vb + 1 for b.
Answer:
b = a² + 2a
Step-by-step explanation:
a + 1 = √(b + 1)
(a + 1)² = b + 1 (Square both sides)
a² + 2a + 1 = b + 1 (Expand left side)
a² + 2a = b (Subtract 1)
can someone help please
Answer:
C
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!
Answer:
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Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of
cocktail fruits to make a fruit punch for the Christmas party. Each carton of
juice is 1 gallon and 3 quarts. Each soda water bottle contains quarts, The
cans of cocktail fruit are 2 pints each. How much (
measured in gallons) of
fruit punch did Josh made?
Answer:
9.5 gallons
Step-by-step explanation:
Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of
cocktail fruits to make a fruit punch.
Each carton of juice is 1 gallon and 3 quarts.
Therefore, 2 cartons will be:
2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts
1 quart = 0.25 gallon
6 quarts = 6 * 0.25 = 1.5 gallons
Therefore, Josh poured 3.5 gallons of orange juice.
Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.
Therefore, the number of gallons that the soda water bottle contains is:
3 * 6 * 0.25 = 4.5 gallons
The cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.
1 pint = 0.125 gallon
2 pints = 0.25 gallons
=> 6 cans of cocktail fruit is:
6 * 0.25 = 1.5 gallons
The amount of fruit punch that Josh made is the sum of all components:
3.5 + 4.5 + 1.5 = 9.5 gallons
Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons
Recall :
1 quartz = 0.25 gallons 1 pint = 0.125 gallonsOrange juice :
2 cartons = 2(1.75) = 3.5 gallons
Soda water :
3 bottles = 3(6 × 0.25) = 4.5 gallons
Cocktail juice :
6 cans = 6(2 × 0.125) = 1.5 gallons
Total gallons in mixture :
(3.5 + 4.5 + 1.5) = 9.5 gallonsLearn more : https://brainly.com/question/25581049
-3(x+ 2y) + 5(3x - y) + y2 for x = 6 and y= 2.
Answer:
54
Step-by-step explanation:
Write the explicit formula for the following sequence.
3, 30, 300, 3000
Answer:
common ratio(r) = 10
place of the term = n
a = 3
now
sequence of 1 term = ar^(n-1)
= 3×10^(1-1)
= 3× 10^0
= 3×1
= 3
sequence of 2 term = ar^(n-1)
= 3×10¹
= 30
and so on
Find the area of the regular polygon. Round your answer to the nearest tenth.
Answer:
43.30 km^2
Step-by-step explanation:
Since the shape is a regular polygon, the sides of the triangle are equal (10km) now find the area on the triangle using herons formula
Working:
Side is 10
Perimeter= 30km
Semiperimeter (s) = 15km
Formula= √s(s-a)(s-b)(s-c)
= √15(15-10)(15-10)(15-10)
= √15*5*5*5
=5√5*15
=5√75
= 5*8.66
= 43.3 km^2
Answer:
43.3
Step-by-step explanation:
since it is a regular polygon thus it is a equilateral triangle where all sides are the same and all angles are 60
use formula 1/2 x a x b x sin C where a and b are sides and C is the angle
1/2 x 10 x 10 x sin 60 = 43.30
or method 2 is using Pythagoras theorem by drawing a perpendicular height to length 10km
h = [tex]\sqrt{10^{2} - (10/2)^{2} } = \sqrt{75} \\[/tex]
area of triangle = 1/2 x 10 x [tex]\sqrt{75}[/tex] = 43.30
Eduardo had 18 candies. 2/3 of the candies were butterscotch discs. How many were butterscotch discs?
Answer:
is 12
Step-by-step explanation:
2/3=18
18:3= 6
6 x 2=12
[tex]answer \\12 \\ solution \\ \\ \frac{2}{3} \times 18 \\ = 12 \\ \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
what is the product of 4/5 × 2/5
Answer:
8/25
Step-by-step explanation:
4/5 *2/5
Multiply the numerators
4*2 = 8
Multiply the denominators
5*5 = 25
8/25
Answer:
The answer would be 8/25 or 0.32
A car costs £15000. Work out the price after a 13% discount.
Answer:
13, 050
Step-by-step explanation:
15,000 by 13% = 1,950
15,000-1,950= 13, 050
A punch recipe requires lemonade, ginger ale, pineapple juice and orange juice to be mixed in the
following ratio
1:3: 2:4
If 400mL of pineapple juice is used, how much lemonade, ginger ale and orange juice is needed
to make the punch?
Lemonade mL :
Ginger Ale mL :
Orange Juice ML :
Answer:
lemonade : ginger ale : pineapple juice : orange juice
l:g:p:o = 1:3:2:4
-------------
p=400 ml
2=400 ml ⇒ 1= 200 ml, 3= 600 ml, 4= 800 ml
Lemonade mL : 200
Ginger Ale mL : 600
Orange Juice ML : 800
What is the average rate of change from x = 0 to x = −2?
How I got that answer:
The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.
m = (y2 - y1)/(x2 - x1)
m = (2 - (-4))/(-2-0)
m = (2 + 4)/(-2-0)
m = 6/(-2)
m = -3
A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.
How much glass is needed to make the given cup below, if it has a height of 6 inches and a radius of 1.5 inches
Answer:
[tex]31.5\pi[/tex]
Step-by-step explanation:
Using the formula given, you can find that the surface area of the glass is:
[tex]2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi[/tex]
Hope this helps!
Which graph shows line symmetry about the y-axis?
Answer:
1st one does
Step-by-step explanation:
There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
When a graph is symmetry about the y-axis?A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.
The graph which is symmetry about y-axis is attached below.
In the given image,
The first graph is not symmetry about the y axis as it does not follow the rule (x,y)-->(-x,y). In the second graph, the graph shows a parabolic function, but it is not showing symmetry about the y-axis.Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
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