Answer:
100
Step-by-step explanation:
I hope this helps you
Gabriels spent $83.97 on three jackets. Each jacket costs the same amount. Write an algebraic equation to show the cost of one
jacket.
Total cost = number of jackets bought x price per jacket.
83.97 = 3x
Divide both sides by 3
X= 83.97/3
X = 27.99
price per jacket = $27.99
What is the solution to the equation below. square root x - 6 = x - 12
[tex]\\ \rm\hookrightarrow \sqrt{x-6}=x-12[/tex]
[tex]\\ \rm\hookrightarrow x-6=(x-12)^2[/tex]
[tex]\\ \rm\hookrightarrow x-6=x^2-24x+144[/tex]
[tex]\\ \rm\hookrightarrow x^2-25x+150=0[/tex]
[tex]\\ \rm\hookrightarrow x^2-10x-15x+150=0[/tex]
[tex]\\ \rm\hookrightarrow (x-10)(x-15)=0[/tex]
[tex]\\ \rm\hookrightarrow x=15\:or \:10[/tex]
Answer:
[tex]x = 15,10[/tex] || C and D is the correct choices.
Step-by-step explanation:
[tex]\sqrt{x-6}=x-12[/tex]
[tex]x-6 =(x-12)^2[/tex]
[tex]x-6 = x^2 -24x +144[/tex]
[tex]x^2 -24x -x +144 +6 = 0[/tex]
[tex]x^2 - 25x + 150= 0[/tex]
[tex]x^2 -15x -10x +150=0[/tex]
[tex]x(x-15)-10(x-15)=0[/tex]
[tex](x-15)(x-10) = 0[/tex]
[tex]x = 15,10[/tex]
a submarine is 75 m below the surface of the sea.it than rises. y 21m.how far below the surface is it now
The submarine is about 54 meters below the surface.
EquationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the height of the submarine. Hence:
y = -75 + 21 = 54 meters
The submarine is about 54 meters below the surface.
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MAX POINTS!
Find the area of a triangle bounded by the y axis, the line f(x)=10-3/4x, and the line perpendicular of f(x) passes through the origin.
Answer:
[tex]\frac{200}{3}[/tex] square units
Step-by-step explanation:
Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:
Set function equal to 0 and solve for x:
f(x) = 10 - [tex]\frac{3}{4}[/tex] x
0 = 10 - [tex]\frac{3}{4}[/tex] x
[tex]\frac{3}{4}[/tex] x = 10
x = [tex]\frac{40}{3}[/tex]
This means that the base length of the triangle is also [tex]\frac{40}{3}[/tex]. Now that you have the height and base length, you can
Plug values into the formula for the area of a triangle:
The area of a triangle is [tex]\frac{1}{2}[/tex] × height × base
Height = 10, base = [tex]\frac{40}{3}[/tex]
Area = [tex]\frac{1}{2}[/tex] × 10 × [tex]\frac{40}{3}[/tex]
Area = 5 × [tex]\frac{40}{3}[/tex]
Area = [tex]\frac{200}{3}[/tex]
Mahra walks 5/8 of a kilometer to school. Mariam walks 3/8 of a kilometer to school.
How much farther does Mahra walk than Mariam?
Answer:
2/8 farther than Mariam
Step-by-step explanation
mahra walks 5/8 km
Mariam walks 3/8 km
therefore, to know how many km mahra walks farther than mariam.
5/8-3/8
the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour. What is the radius, in inches, of the wheels of the truck
The radius of the wheel is 140.06 inches
Since the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour, we need to find the distance mover per revolution.
Distance moved per revolution by wheelSo, distance moved per revolution = speed of truck ÷ revolutions per minute
Speed of truck = 50 miles per hour
Converting to inches per min, we have
= 50 × 63360 in/hr ÷ 1 hr/60 min
= 3168000 in/60 min
= 52800 in/min
revolutions per min = 60 rev/min
So, substituting the variables into the equation, we have
distance moved per revolution = 52800 in/min ÷ 60 rev/min
= 880 in/rev
Circumference of the wheelSince the distance moved per revolution is the circumference of the wheel, C we have that
C = 2πr where r = radius of wheel
Radius of the wheelMaking r subject of the formula, we have
r = C/2π
Since C = 880 in
Substituting the value of the variable into the equation, we have
r = C/2π
r = 880 in/2π
r = 440 in/π
r = 140.06 in
So, the radius of the wheel is 140.06 inches
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• Riley and her sister collect stickers. Riley has 220 stickers
in her sticker collection. Her sister has 55 stickers in her
collection. Riley has how many times as many stickers as
her sister? Use mental math or the guess, check, and
revise strategy to solve the equation 55x = 220.
Answer:
Riley has 4 times the amount of stickers her sister has
Step-by-step explanation:
220 divided by 55 is 4
Y=max+b
Write an equation of the linear function
Answer:
Answer: Equation is y = ½x + 3
Step-by-step explanation:
Consider points (4,5) and (0,3)
» General linear equation:
[tex]{ \tt{y = mx + b}}[/tex]
m is the slopeb is y-interceptSlope (m):
[tex]{ \tt{m = \frac{(5 - 3)}{(4 - 0)} }} \\ \\ { \tt{m = \frac{2}{4} = \frac{1}{2} }}[/tex]
slope = ½
y-intercept (c):
[tex]{ \tt{y = \frac{1}{2}x + c }}[/tex]
» Consider point (0,3):
[tex] { \tt{3 = ( \frac{1}{2} \times 0) + c}} \\ \\ { \tt{c = 3}}[/tex]
» Equation:
[tex]{ \boxed{ \tt{y = \frac{1}{2}x + 3 }}}[/tex]
A baby cardinal weighs about 4.3 grams at birth. After 4 days it is 3.4 times as heavy. How much does it weigh after 4 days?
Can u give me the answer
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the Quadrilateral. Show your work. ( Please do not repaste another students answer on brianly or another other websites). Only answer if your 100% correct and you'll get Brainliest .
Answer:
A = 92°
B = 100°
C = 88°
D = 80°
Step-by-step explanation:
Cyclic quadrilateral : a quadrilateral drawn inside (inscribed) a circle.
The opposite angles in a cyclic quadrilateral add up to 180°.
Therefore, A + C = 180° and B + D = 180°
If A + C = 180° , then
⇒ (x + 2) + (x - 2) = 180
⇒ x + 2 + x - 2 = 180
⇒ 2x = 180
⇒ x = 90°
Therefore,
A = x + 2 = 90 + 2 = 92°
C = x - 2 = 90 - 2 = 88°
D = x - 10 = 90 - 10 = 80°
B = 180 - D = 180 - 80 = 100°
The length of three snakes exhibited and the zoos reptile house are labeled. The king snake is 65 inches. The Easter diamondback rattlesnake is 2 yards. The ridge nosed rattlesnake is 4 feet. Which statement correctly compares the length of the snakes?
A. The king snake is the longest snake.
B. The ridge nosed rattlesnake is longer than the eastern diamondback rattlesnake.
C. The eastern diamondback rattlesnake is the longest snake.
D. The eastern diamondback rattlesnake is shorter than a king snake.
Answer:
C
Step-by-step explanation:
King Snake: 65 inches / 12 inches per foot = about 5.4 feet long
Eastern Diamondback Rattlesnake: 2 yards * 3 feet per yard = 6 feet long
Ridge Nosed Rattlesnake: 4 feet long
Therefore, the eastern diamondback rattlesnake is the longest snake.
PLZ HELP ILL MARK AS BRAINLIETS
Answer:
45ft²
Step-by-step explanation:
4 [ 2(6ft × 1.5ft) ÷ 2 ] + ( 3ft × 3ft )
= 4 [ 2(9) ÷ 2 ] + ( 3ft × 3ft )
= 4 [ 18 ÷ 2 ] + ( 3ft × 3ft )
= 4 ( 9 ) + ( 9 )
= 36 + 9
= 45ft
PLEASE SHOW WORK I WILL GIVE BRAINLY Kira's skateboard is 71 centimeters long. What is the length of her skateboard in millimeters? SHOW YOUR WORK PLEASE
Answer:710
Step-by-step explanation:
1 centimeter is 10 millimeters so 71 times 10 is 710
Answer:
710mm
Step-by-step explanation:
1 centimeter is equal to 10 millimeters:
[tex]1cm=10mm[/tex]
The distance d in millimeters (mm) is equal to the distance d in centimeters (cm) times 10:
[tex]d_{mm} =d_{cm}*10[/tex]
71cm × 10
= 710mm
18. What is the surface area of a sphere with a radius of 6 meters rounded to the nearest square meter? 226 m- D 905 m 113 m- 50 m
Answer:
452 m^2
Step-by-step explanation:
Formula
A=4πr^2
4·π·6^2≈452.38934
Determine the constant rate of change (slope) of the linear function.
The car, originally valued at $12,975, has been decreasing in value at a constant rate over the past seven years. It is now worth $8600.
Explain what it means in this context.
The change in value (in dollars) will be (x) times as great as the change in the car's age (in years)
Answer:
y = 12975 - 625xStep-by-step explanation:
The ordered pairs are:
(0, 12975) and (7, 8600)Find the slope:
(8600 - 12975)/7 = -625It means the drop in price is $625 each year.
The equation to reflect this situation is:
y = 12975 - 625xAlissa ownes a lovely country store. She buys 6 jars of honey for $65 and then sells 5 jars for $72. How many jars would Alissa have to buy and then sell to make a profit of $214?
60 or y=4×+6
Step-by-step explanation:
we have been given the equation;
2(2x + 3) = -4 + 2(2x + 5)
we need to determine the value of x.
2(2x + 3), we expand this expression to obtain 4x + 6
similarly 2(2x + 5) will become 4x + 10
now we have;
4x + 6 = -4 + 4x + 10
4x + 6 = 4x + 10 - 4
4x + 6 = 4x + 6
the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;
y = 4x + 6
consequently, we shall have infinitely many solution.
what is NE? Enter your answer in the box
How to find value p and q
Answer: (p, q) = (3, 2)
Step-by-step explanation:
So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.
Matching coefficients, we get that p=3, -2p=-6, and p+q=5.
It follows that p=3 and q=2.
help PLEASEEEE
Given that Segment BE is 5 units, find the indicated measures for Angle 1, Angle 2, Segment AC, Segment AD.
Answer:
Segment AC = 10 units
segment AD =
angle 1 = 45°
angle 2 = 90°
AE = BE = CE = DE = 5
SEGMENT AC = AE + CE
= 5 + 5
= 10 UNITS
SEGMENT AD = 5² + 5²
= √50
= 7.071
= 7 UNITS
ANGLE 1 = 90° ÷ 2
= 45°
ANGLE 2 = 360° ÷ 4 / 180° ÷ 2
= 90°
Graph the data.
Find and interpret the slope of the line through the points.
Choose the equation of the line in slope-intercept form.
Perpendicular to the X-axis and has the point (3,4)
A. y = 3
B. y = 4
C. x = 3
D. x = 4
Answer:
C) x = 3
Step-by-step explanation:
Equation of a line in slope-intercept form: y = mx + b
(where m is the slope (gradient) and b is the y-intercept)
If the line is perpendicular to the x-axis, the line will be parallel to the y-axis (vertical). We are told that the line passes through point (3, 4). Therefore, the line will never intercept the y-axis and so the y-intercept is zero. Also, all the values of x = 3
So the equation of the line is: x = 3
Sofia's poster is 0.75 meters long. Rafael's poster is 0.35 meters less than 1 meter long.
What expression would show the difference in the lengths of the posters?
Answer:
Length of Sofia's poster: 0.75 m
Length of Rafael's poster: 0.65 m
Difference: 0.75m - 0.65m
= 0.1 m
Hope this is correct
Mark as Brainliest please
Lura’s chocolate bar is 71% cacoa. If the weight of the chocolate bar is 58 grams, how many grams of cocoa does it contain? Round your answer to the neares
tenth
plsss help!!!!! #5 #6
Step-by-step explanation:
#5Area of parallelogram:
A = bh = 4*5 = 20 in²#6Area of trapezoid:
A = 1/2(b₁ + b₂)h = 1/2(6 + 14)*8 = 80 in²[tex]\bold{\huge{\blue{\underline{ Solution \:5 }}}}[/tex]
We have given ,
The height of the parallelogram and the base of the parallelogram is 5in. and 4 in.We know that,
[tex]\sf{\pink{ Area\: of\: parallelogram = Base × Height }}[/tex]
[Parallelogram is a polygon which having opposite sides parallel to each other and the length and breath of the parallelogram are equal ]
Subsitute the required values in the above formula :-
[tex]\sf{ Area\: of\: parallelogram = 4 × 5 }[/tex]
[tex]\sf{ Area\: of\: parallelogram = 20 in. }[/tex]
Hence, Area of parallelogram is 20 inch
[tex]\bold{\huge{\blue{\underline{ Solution\: 6 }}}}[/tex]
We have given here,
The height of the trapezium is 8 in and the length of 2 parallel side is 6 in. and 14 in.We know that,
[tex]\sf{\pink{ Area\: of\: trapezium = 1/2 ×(a + b) × Height }}[/tex]
[Trapezium is figure that having two parallel sides and 2 non - parallel sides. ]
Subsitute the required values in the above formula :-
[tex]\sf{ Area\: of\: trapezium = 1/2 ×(6+14)×8 }[/tex]
[tex]\sf{ Area\: of\: trapezium = 1/2 × 20 × 8 }[/tex]
[tex]\sf{ Area\: of\: trapezium = 10 × 8 }[/tex]
[tex]\sf{ Area\: of\: trapezium = 80 in. }[/tex]
Hence, Area of trapezium is 80 inch.
find the domain and range
answer correctly
Answer:
Domain: all real numbers
Range : y ≤ 2
Step-by-step explanation:
Domain : the set of possible x-values
Range : the set of y-values
From inspection of the graph:
Domain : all real numbers (no restriction)Range : y ≤ 2 (greatest value of y is 2)Need help! I’m confused so pls answer ASAP!
Answer:
oh shoot just do what you do to find the angles. all of them add up to 180 degrees
Step-by-step explanation:
need help!?!!! pls thx
simplify 4a²+1/3a+5+a²+4+1/3a
Answer:
[tex]5a^2+\frac{2a}{3} + 9[/tex]
Step-by-step explanation:
Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.
if the original quantity is 460 and the new quantity is 600 , what is the percent increase