Answer:
if i'm not mistaken it's A
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan?
Answer:
15 years old.Ishaan is 15 years old.
Solution,
Let the age of Ben be X and ishaan be y.
Now,
X=4y
Six years ago,
[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]
Put the value of X
i.e X=4y
[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]
hope this helps..
Good luck on your assignment....
Start by setting up a chart based on age now
and age 6 years ago for Ben and Ishaan.
Since Ben is 4 times as old as Ishaan, use x to represent
Ishaan's age now and 4x to represent Ben's age now.
Ishaan's age 6 years ago would then be x - 6 and Ben's
age 6 years ago would be 4x - 6.
Now that your chart is filled out, read through the
second sentence of the problem to setup the equation.
Since the second sentence starts with 6 years ago,
we're going to be using the information in the
second column of our chart to setup the equation.
So 13 years ago, Ben, 4x - 6, was, equals,
6 times as old as Ishaan, 6(x - 6).
So we have the equation 4x - 6 = 6(x - 6).
Solving from here, we find that x = 15.
Steps are attache din the image provided.
Going back up to the chart, x represents Ishaan's age now.
So Ishaan is 15 years old now.
What is 39,182 written in expanded form
Answer:
39,182 in expanded form:
Step-by-step explanation:
30,000 + 9,000 + 100 + 80 + 2
Two boats are moving towards each other from harbours that are 144 km apart. One boat is moving at 63 km.h-1 and the other boat at 81 km.h-1 . If both started their journey at the same time, how long will they take to pass each other?
Answer: 1 hour
Step-by-step explanation:
Let distance1 = x km
Distance2 = 144 - x
Speed S1 = 63 kph
Speed S2 = 81 kph
Time = Distance / Speed
When the jets pass each other
(144-x) / 81 = x/63
63(144-x) = 81x
9072 - 63x = 81x
x = 9072 / 144
x = 63 km
Time = 63/63 = 1 hour
Answer:
1 hr
Step-by-step explanation:
Please help this is due in 30 minutes!
Answer:
[tex]1.\ 12\ feet = 4\ yards[/tex]
[tex]2.\ 4\ miles = 21120\ feet[/tex]
Step-by-step explanation:
Given
12 feet = _____ yard
4 miles = ____ feet
To start with;
we need to understand the unit of conversion between the two measurements;
1. 12 feet = _____ yard
To convert from feet to yard;
[tex]1\ foot = \frac{1}{3} yard[/tex]
This implies that;
[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]
[tex]12\ feet = \frac{12}{3} yard[/tex]
[tex]12\ feet = 4\ yards[/tex]
2. 4 miles = ____ feet
To convert from miles to feet;
[tex]1\ mile = 5280\ feet[/tex]
This implies that;
[tex]4\ miles = 4 * 5280 feet[/tex]
[tex]4\ miles = 21120\ feet[/tex]
Which of the following is the correct factorization of the trinomial below?
-7X+5x+12
Step-by-step explanation:
I recommend that you download the symbolab application, it is very good, it helps a lot
ABCO is the image of ABCD What transformation(s) would result in this image?
ABCD is reflected over the line v
Acis dilated about the origin with a scale factor of
ABCD is reflected across the y-axis and then the x-axis,
ABCD is rotated 1806 around the origin
Answer:
D. ABCD is rotated 180° around the origin
Step-by-step explanation:
The formula for an 180° rotation around the origin is (-x, -y).
Given P(E) = 0.58 and P(FE) =0.32 , find P(F/E). Round the answer to the nearest hundredth.
A 0.19
B. 0.44
C. 0.55
D. 1.81
Solve the following system of equations. What is one x-value of a solution?
f(x) = x2 + 4x + 10 g(x) = -32x - 40
a. x = 5
b. x = -5
c. x = 6
d. x = 2
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]
[tex]x = \frac{-36 \pm 33.11}{2} [/tex]
[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]
[tex]x_1 = -1.445 [/tex]
[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]
[tex]x_2 = -34.555[/tex]
Here are Xavier's bowling scores:
132, 140, 130, 190, 112, 200, 185, 172, 163,
151, 149
.
What is the lower quartile?
Answer:
Lower Quartile = 132
Step-by-step explanation:
Arranging it in ascending Order:
112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200
Lower quartile = [tex](N+1)^{th} Term \frac{1}{4}[/tex]
Where N = 11
Lower Quartile = [tex]\frac{1}{4} (12)^{th} Term[/tex]
Lower Quartile = 3rd Term
So,
Lower Quartile = 132
Answer: 132
Step-by-step explanation:
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm
Answer:
72.9°solution,
[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]
hope this helps ....
Good luck on your assignment...
By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
What are Trigonometric identities ?Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
We have given that x=4cm , y=4cm and z=13cm.
By applying trigonometry of tan which is perpendicular upon base i.e. P/B
A triangle would be constructed , base would be z=13cm
and x and y will define the other 2 lines of 4 cm each.
tan Ф = perpendicular/ base,
tan Ф = 13/4
Ф = tan [tex]^{-1}[/tex] (3.25cm)
Ф = 72.9°
Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5
15
Which of these article headlines clearly implies causation?
Α.
Autism Linked to Environmental Pollution
B.
Automobile Pollution Increases Risk of Heart Disease
C.
Asthma Attacks Recorded More Frequently in Older Homes
D.
Intake of Nutrients Connected to the Food Supply
DE.
Life Span of a person is Associated with Career Choice
Answer:
B.
Step-by-step explanation:
Causation is often confused with correlation because they are so similar. B would mean that pollution is caused from something (lets say greenhouse gases for example) which then results in more cases of heart disease.
Causation is when the first variable may bring the second into existence or may cause the incidence of the second variable to fluctuate. So, causation is the capacity of one variable to influence another. Which, would make B, a suitable candidate.
What are the coordinates of the image of L for a dilation with center (0,0) and scale factor 1/4?
Answer:
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Step-by-step explanation:
Given
K(1,0)
L(1,4)
M(5,4)
N(5,0)
Scale Factor = 1/4
Dilation with center (0,0)
Required
New coordinates of the quadrilateral
To get the new coordinates, we simply multiply the scale factor with each coordinate;
This is done as follows;
[tex]If\ K =(1,0),\ then;[/tex]
[tex]K' = \frac{1}{4} * (1,0)[/tex]
[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]If\ L =(1,4),\ then[/tex]
[tex]L' = \frac{1}{4} * (1,4)[/tex]
[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]If\ M =(5,4),\ then[/tex]
[tex]M' = \frac{1}{4} * (5,4)[/tex]
[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]If\ N =(5,0),\ then[/tex]
[tex]N' = \frac{1}{4} * (5,0)[/tex]
[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Hence, the coordinates of the dilated figure are:
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Keenan is making a model of a stadium using a scale in which 0.25 centimeters equals 10 feet. If the actual length of the stadium is 300 feet, how long is the model, in centimeters? Your answer can be exact or rounded to two decimal places. the answer is not (75,1200, or 9144.0 cm)
Answer:
7.5cm
Step-by-step explanation:
0.25 cm=10ft
x30. x30
7.5 cm=300ft
Hpoe this helps! :) :)
Given f(x) = 2x – 3 and g(x) = x2, find f(g(3)).
Answer:
First find f(g(x))
= 2(x²)-3
= 2x² -3
f(g(3)) = 2(3)² -3
= 2(9) - 3
= 18 - 3
= 15
Hope this helps.
Answer:
f(x)=6 and g(x)=6
Step-by-step explanation:
This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.
1. find g(x)
2. x=3*
3. g(3)=3·2
4. x=6
Wherever there is an x put the number 3.....ONLY for g(x)
* ONLY in g(x)
4. Solve for f(x)
Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6
5. f(6)=2·6-3
6.f(x)=2·3
7.f(x)=6
Which of the following points are solutions to the inequality below check all that apply
Answer:
A, C, and D
Step-by-step explanation:
By substituting the values of each of the points into the inequality, you can determine that A, C, and D are the correct answers.
The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answer:A
Step-by-step explanation:
Answer: Letter A
Step-by-step explanation:
What is the slope of the line shown below?
(3, 8)
(1, -2)
[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]
To find the slope of the line, I will be showing you the table method.
To find the slope of the line using the table method,
we start by making a table for our ordered pairs.
We will put the x values in the left column
and the y values in the right column.
Our first ordered pair is (3, 8), so we put a
3 in the x column and a 8 in the y column.
Our second ordered pair is (1, -2), so we put a
1 in the x column and a -2 in the y column.
Next, remember that the slope or m, is always equal to
the rate of change or the change in y over the change in x.
Using our table, we can see that the y values
go from 8 to -2 so the change in y is -10.
The x values go from 3 to 1 so the change in x is 2.
Therefore, the rate of change, or the change in y
over the change in x is -10/2 which reduces to 5.
This means that the slope is also equal to 5.
Each letter in the expression shown to the right represents a digit other than zero. Different letters represent different digits and the same letter always represents the same digit. What is the smallest whole number that can be the value of this expression?
Answer:
well if you go by the allaphat then A would be the smallest digit
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
can anyone help with this using soh cah toa and rounding the answer to the nearest tenth of a foot?
Answer:
X=12.09
Step-by-step explanation:
Tangent=opposite/adjacent
Tan29=6.7/x
X tan29=6.7
X=6.7/tan29
X=12.087
X=12.09
Please help lots of points
Answer:
directrix
Step-by-step explanation:
The parabola is equidistant from the line called the directrix
and from a point called the focus
Answer:
The answer is B.
|25 POINTS| Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the length of the base is increased to 15 meters, what is the difference in the surface area between the new pyramid and the old pyramid?
125 meters squared.
525 meters squared.
600 meters squared.
400 meters squared.
Answer:
125 meters squared
Step-by-step explanation:
Surface area of initial pyramid:
A= 10²+4*1/2*10*15= 400 m²Surface area of extended pyramid:
A= 10*15+2*1/2*15*15+2*1/2*10*15= 525 m²The difference is:
525- 400= 125 m²In the triangles, BC 2DE and AC FE.
If mZc is greater than mZE, then AB is
DF
MA
O congruent to
o longer than
shorter than
the same length as
A
CF
E
What is the polar coordinates of the point z
Answer:
c. (3, [tex]\frac{7\pi }{6}[/tex] )
Step-by-step explanation:
In order to do this, you must solve using the answer choices, not by solving it yourself. This is because you can generate many answers from the graph itself so it is best to look for which answer choices you can eliminate. In this answer choice, there are no negatives, therefore, you don't have to convert by reflecting across the pole or polar axis, making this question easy. Polar coordinates are represented as so: (r, θ) with r representing the radius and theta representing the angle. The distance of z from the middle point is 3 units, so the radius is 3. If you look at the unit circle, [tex]\frac{7\pi }{6}[/tex] resides in the same quadrant where z is at the moment, so you don't have to do any converting there. Therefore, this is your answer.
What is four hundred twenty-eight and forty-six hundredths written in standard form? 5th grade
428.46
400+28+.46= 428.46
Trust me if you remember what hundredths and tenths mean it will help a lot in 6-7th grade math.
I have to complete the proofs and explain each one please help WILL MARK BRAINLIEST
Answer:
Step-by
Q1
PROOF
consider triangle ACT and ARD
CA=CA [GIVEN]
angle 1 = angle 2 [GIVEN]
angle CAT = angle RAD [OPPOSITE ANGLES]
hence ,triangle ACT is congruent to triangle ARD [by SAS]
hence , angle 3 = angle 4 [ by cpct]
Q2
PROOF
consider triangle TSU and TVU
TU =TU [commn]
UV = US [given]
angle TUS = angle TUV [ given]
hence, triangle TSU congruent to TVU [ by SAS]
hence, VT = ST
Q3
PROOF
consider triangle ABC and ADC
AC = AC [ common]
angle ACB = angle ACD [given ]
angle ADC = angle ABC [ 90 degree ]
hence they are congruent [by AAS]
BC = DC [ CPCT]
PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER
Write a word problem the equation -8f - 7 = -47
Answer:
The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?
Step-by-step explanation:
The equation can be rearranged to get:
-7-8f=-47
Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?
Answer:
Step-by-step explanation: negative eight f minus seven equals negative fourty-seven . answer: 5
What is the product of 6x – 5 and 8x + 3 Your answer: 14x – 2 -2x – 8 6x2 -13x +15 48x2 -22x -15
Answer:
48x^2 - 22x - 15
Step-by-step explanation:
(6x - 5)(8x + 3)
48x^2 + 18x - 40x - 15
48x^2 - 22x - 15
Find the product Enter the answer below
Answer:
56/33
Step-by-step explanation:
8/11 * 7/3
Multiply the numerator
8*7 = 56
Multiply the denominator
11*3 = 33
Put the numerator over the denominator
56/33
Answer:
56/33
Step-by-step explanation:
[tex]\frac{8}{11} *\frac{7}{3}[/tex] Original equation
[tex]\frac{8*7}{11*3}[/tex]
[tex]\frac{56}{33}[/tex] Simplify
Subtract.
(5x2 + 7) - (3x - 2)
O A. 5x2 – 3x+9
O B. 5x2 – 3x+5
O c. 2x2 + 5
O D. 2x2 +9
Lmk
Answer:
5x^2 -3x +9
Step-by-step explanation:
(5x2 + 7) - (3x - 2)
Distribute the minus sign
5x^2 +7 -3x +2
Combine like terms
5x^2 -3x +9