Answer:
Mel's height is 159cm, her brother's height is 177cm and their grandma's height is 166cm.
Step-by-step explanation:
Let the grandma's height be g cm.
Mel's height= (g -7) cm
Brother's height= (g +11) cm
Total height
= Mel's height +brother's height +grandma's height
= g -7 +g +11 +g
= (3g +4) cm
Given that their total heights is 502 cm,
(3g +4) cm= 502 cm
3g +4= 502
3g= 502 -4 (-4 on both sides)
3g= 498
g= 166 (÷3 on both sides)
To find their heights, substitute g= 166 back into the expressions.
Grandma's height= 166cm
Mel's height
= 166 -7
= 159cm
Brother's height
= 166 +11
= 177cm
The triangle shown is rotated 90° counterclockwise about the origin. What are the new coordinates of point A?
A)
(1,2)
B)
(-2, 1)
C)
(2, 1)
D)
(-2,-1)
Answer:
c
Step-by-step explanation:
The Osborn family goes out to dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal?
A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.
Answer:
2x+40=982
Step-by-step explanation:
Graph the function f(x) = 7 + 4x. Then find the value of f(x) when x =
1/4
Everything is graphed out and labeled here for ya!
Find the area of a sector of a circle with radius 7 cm and and central angle 240°.
Answer:
103 cm^2
i just took the quick check
HELP PLSSs plssssssss helpppp it’s math plsssssss
Answer:
17°
Step-by-step explanation:
Complementary must add up to 90°
therefore, 90-73
Answer:
solution given:
x+73=90° complementary
x=90-73
x=17°
x=17°
Find the area. 7 in. 5 in. 12 in.
Answer:
I believe its 47.5
Hope this helps!
Answer:
142.5
Step-by-step explanation:
1/2×5×(7+12)=142.5
Write the new equation if the graph of f (x) = –2x2 + 5 is translated down 10
units. (Include f(x) in your answer)
HELPPP
PLEASE NO LINKS JUST WRITE OUT THE ANSWER
Answer:
how would i know the answer
Step-by-step explanation:
Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)
Answer:
2x + 5
Step-by-step explanation:
I am assuming you are talking about a linear function. If it is, then the equation would be:
2x + 5.
Hope this helps!
Answer:
[tex]y = 2x + 5[/tex]
Step-by-step explanation:
For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.
In order to find the equation, we must find the slope and y-intercept.
Finding mThe slope can be found with the formula:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.
Substituting in values from the points, we get:
[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]
Finding bIn order to find the y-intercept, we must substitute the slope back into the original equation:
[tex]y = 2x + b[/tex]
After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.
[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]
Finding the equationAfter this, all that must be done is to substitute the values for b and m back into the original equation.
[tex]y = 2x + 5[/tex]
To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.
[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]
A - 3/4 = 1/8 step by step explanation
Answer:
A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8
7/8-6/8=1/8 therefor A=7/8
A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).
Answer:
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
Step-by-step explanation:
Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).
So, we use the equation in standard form
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]
Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.
Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,
-bx/a = -x ⇒ b/a = 1 ⇒ a = b
Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²
substituting c = 5 and a = b into the equation, we have
c² = a² + b²
5² = a² + a²
25 = 2a²
a² = 25/2
a = √(25/2)
a = ±5/√2
rationalizing, we have
a = ±5/√2 × √2/√2
a = ±5√2/2
Since a = b, b = ±5√2/2
Inserting a and b into the equation for the hyperbola, we have
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
So, the required equation is
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
Solve x + 10 > 14. Then graph the solution.
Answer:
x>4
Step-by-step explanation:
Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?
Answer:
Chocolate cones = x = 167 cones
Vanilla cones = y = 334 cones
Step-by-step explanation:
Let
The number of Chocolate cones = x
Vanilla cones = y
Ike's igloo sold 501 ice cream cones today.
x + y = 501.... Equation 1
They sold half as many chocolate ice cream cone as vanilla ones.
x = 1/2y
x = y/2
Cross multiply
y = 2x
We substitute 2x for y in Equation 1
x + 2x = 501
3x = 501
x = 501/3
x = 167
Solving for y
y = 2x
y = 2 × 167
y = 334
Therefore,
The number of
Chocolate cones = x = 167 cones
Vanilla cones = y = 334 cones
Which statement is true about the equation
It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.
Answer:
it has one solution which is 4
Answer:
hope this helps you......
Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.
Volume = 105in³
Mass = 871.5g
To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.
The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³
The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g
Avery invested $21,000 in an account paying an interest rate of 3.3% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,200?
Answer:
10
Step-by-step explanation:
Answer from delta math
7 3/4 + 3 5/6 - 1 3/4
Answer:
This does not have to be complicated.
Just subtract 1 3/4 from 7 3/4 to get 6. Now add the 3 5/6 to that for a total of 9 5/6
Step-by-step explanation:
True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.
Answer:
false
Step-by-step explanation:
A secant of a curve is a line that intersects the curve at least twice.
CORRECT ANSWER = BRAINLIEST | NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
The tax rate at this restaurant is 9.5%.
Marc’s sales tax is $1.61. How much was his subtotal?
Answer:
I don't know, I'm just doing this to get points. lol
Step-by-step explanation:
haha
PLEASE HELP RIGHT NOW ASAP IF CORRECT I WILL GIVE BRAINLIEST HELP NOW
Answer:
x^4
is the answer
Part A: A bag of deflated balloons contains 5 red, 3 blue, 4 green, 4 yellow, 5 purple, and 4 white balloons. Create a probability model to show the probability of randomly selecting a balloon of each color. Part B: Verify that all possible outcomes are included in the probability model. Part C: Determine whether the probability model shows uniform or nonuniform probability.
Answer:
Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF
substitution method please help :3
Answer:
7x + 27 = -17
Step-by-step explanation:
2x + 5x = 7x
3y + (-y) = 2y
-5 + (-12) = -17
Combine them to make the added equation.
7x + 2y = -17.
3/5 pencils sold in the morning. 1/4 of the remainder in the afternoon. If 200 more pencils were sold in the morning than afternoon, how many pencils did they start with
Answer:
x = total pencils = 400 pencils
Step-by-step explanation:
Let
x = total pencils
Pencils sold in the morning = 3/5x
Remaining pencil = x - 3/5x
= 5x-3x/5
= 2/5x
Pencils sold in the afternoon = 1/4 of the remainder
= 1/4 * 2/5x
= 2/20x
= 1/10x
Pencils sold in the afternoon = 1/10x
3/5x + 200 = 1/10x
3/5x - 1/10x = 200
(6x-x)/10 = 200
5/10x = 200
1/2x = 200
x = 200 ÷ 1/2
= 200 × 2/1
x = 400 pencils
x = total pencils = 400 pencils
Find the volume of the cone. H=9cm r=6cm
Answer:
the volume of the cone is 339.29
Step-by-step explanation:
Answer:
Volume is 339.29cm
Step-by-step explanation:
what is the distance from (-4, -7) to (4, 8) ?
Answer:
17
Step-by-step explanation:
We can use this formula:
[tex]\sqrt{(x2-x1)^2 + (y2 -y1)^2}[/tex] where x and y indicate the coordinates of the two points
[tex]\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17[/tex]
Answer:
17
Step-by-step explanation:
You are given two points so you use the distance formula
[tex] \sqrt{( {x 2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Substitute your points into the formula
Help please ! 11x+4<15 or 12x+7>-25
Answer:
A
Step-by-step explanation:
From the first inequality,we got:
11x+4<15
11x<11
x<1
From the second inequality,we got:
12x>-18
x>-3/2
Combine it together we got
-3/2<x<1
Answer:
All values of x are solutions
Step-by-step explanation:
How do I find the circumference?
Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²
Respuesta:
88,8 cm²
Explicación:
Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.
Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.
Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm
Luego, podemos calcular el área del hexágono usando la siguiente fórmula:
Area = Perímetro × Apotema / 2
Area = 48 cm × 3,7 cm / 2 = 88,8 cm²
PLEASE ANSWER!
I need asap
Answer:
input sloperelation outputStep-by-step explanation:
very sorry if I'm wrong