Answer:
Jon is 11 years old
Step-by-step explanation:
We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.
First sentence: "Six years ago Jon was one-sixth the age of his mother."
translates into:
J - 6 = (M - 6) / 6
Second sentence: "in four years time his age doubled and increased
by 10 will match his mother's age."
2 * (J + 4) + 10 = M + 4 which removing parentheses gives: 2 J + 18 = M + 4
We solve for "M" in the first equation
6 (J - 6) = M - 6
6 J - 36 = M - 6
M = 6 J - 30
and now use this result to substitute for M in the second equation
2 J + 18 = (6 J - 30) + 4
and work on solving for J
2 J + 18 = 6 J - 30 + 4
18 + 26 = 6 J - 2 J
44 = 4 J
J = 44 / 4
J = 11
F(x)=(x-7)^2-64
Please help
Answer:
x-intercepts/ roots= (-1,0), (15,0)
f(0)= -15 (y-intercept)
Axis of symmetry: x = 7
Vertex: (7, -64)
Domain: All real numbers
Range: [-64, infty)
On a separate sheet of paper practice drawing a 10ft. Vertical line at three different scales using American system:
1) 1/2” = 1’;
2) 1/2” = 1’;
3)1/8” = 1’;
Draw also 12m. Vertical line at three different scales using the Metric System
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;
A street on a block plan is drawn at a scale of 1”=50’. When the drawing is measured with a ruler, the street is 1/2” wide. How wide is the actual street? Explain
Answer:
A street on a block plan is drawn at a scale of 1”=10’. When the drawing is measured with a ruler, the street is 5” wide. How wide is the actual street? Explain
Answer:
In your own words describe the three types of scale answer here:
En una Homs de paper separada, practique el dibujo de una linea vertical de 10 pies a tres escalate diferentes untilizando Sistema Americano:
1/2 “=1’;
1/2 “=1’;
1/8 “=1’;
Dibuja tamben una linea vertical de 12m. A tres escalas diferentes untilizando el Sistema Metrico:
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;
Una Calle en un plano de bloque se dibuja a una escala de 1 “=50 cuando el dibujo se mide con una regal, la calle tiene 1/2 “de ancho qué anchura real tiene la Calle? Explique
Una Calle en un Plano de bloque se dibuja a una escala de 1 “= 10 cuando el dibujo de mide con una regal, la Calle tiene 5 “ de ancho qué anchura real tiene la Calle? Explique
En sus palabras descibe las tres tipos de escala.
Escribe Aqui:
Help me
Answer:
Step-by-step explanation:ok
Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13 and her machine costs $0.50 per game. After how many games will the girls have the same amount of money remaining?
Answer: After they've played 8 games, they will have the same amount of money remaining.
Step-by-step explanation:
Represent the number of games by the variable x and the remaining amount of money by the variable y.
Deanna's situation can be represented by the equation y = 15 - 0.75x
Lisa's situation can be represented by the equation y = 13 - 0.50x
Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.
15 - 0.75x = 13 - 0.50x
-13 -13
2 - 0.75x = - 0.50x
+0.75x +0.75x
2 = 0.25x
x = 8
A principal of $7000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 5 years if the account is compounded semiannually is? (Round to the nearest cent.)
Answer:
$2,874.19
Step-by-step explanation:
Hope this helps
Find the vertex of the function given below.
y= 2x2 + 4x + 1
Answer:
vertex is (-1,-1)
Step-by-step explanation:
2 ways
1. get into vertex form y=a(x-h)^2+k
2. use math hacks
1.
vertex is (h,k) in y=a(x-h)^2+k
complete square
y=(2x^2+4x)+1
y=2(x^2+2x)+1
y=2(x^2+2x+1-1)+1
y=2((x+1)^2-1)+1
y=2(x+1)^2-2+1
y=2(x+1)^2-1
y=2(x-(-1))^2+(-1)
vertex is (-1,-1)
2.hack way
in form y=ax^2+bx+c
x value of vvertex is -b/2a
given
y=2x^2+4x+1
b=4, a=2
xvaluevertex=-4/(2*2)
xvaluevertex=-4/4=-1
sub back to find y value
y=2(-1)^2+4(-1)+1
y=2(1)-4+1
y=2-4+1
y=-1
y value is -1
Answer:
(-1,-1)
Step-by-step explanation:
To find the x coordinate, we use the formular x = -b/2a where b=4 and a = 2 from the given function.
hence x = -(4)/2(2) = -1
then to get the y coordinate we substitute the value of x into the given function, so y = 2(-1)^2+4(-1)+1 = -1
therefore, the vertex is (-1,-1)
Vectors x and y have lengths 18 and 24 respectively, and the cosine of the angle between them is StartFraction 5 Over 9 EndFraction. Find the scalar projection of x onto y and their dot product.
Answer:
xy = 10
x · y = 240
xy = 10
x · y = 240
It is indeed correct on Edge 2021
Answer:
10
240
Step-by-step explanation:
Edge 2021
the probability that is from the 60s is
Huhh?? Explain better ols
what is -11/40 - 0.278 in decimal form
(pls this is due tmr)
Answer:
-0.553
Step-by-step explanation:
First we convert the fraction into a decimal: -11/40 = -0.275
Then, add both numbers because when you subtract a negative from a positive, you are basicaly adding the numbers.
-0.275- 0. 278= -0.553
Have a great day!
The slope of the line below is - 1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.
O A. y+3 --=(x +3)
O B. y-3--4(x-3)
O C. y+3 = (x+3)
O D.y-3 = {(x-3)
Answer:
Option B. y – 3 = –1/7(x – 3)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope (m) = –1/7
Coordinate = (3, 3)
x₁ coordinate = 3
y₁ coordinate = 3
The equation of the line can be written as follow
y – y₁ = m(x – x₁)
y – 3 = –1/7(x – 3)
Can anyone help me please
Answer:
y = 120
Step-by-step explanation:
y = 4x (corresponding angles)
y + 2x = 180
substitute the value of y into the second equation
4x + 2x = 180
6x = 180
x = 30
now that we have the value of x, plug it into either equation and solve for y
y = 4 (30)
y = 120
Each rectangle below has an area of 4 cm? Each square has an area of 2 cm?
If a rectangular box were made from the pattern, what would be the surface area?
Answer:
Literally any even number that’s not two or four
Step-by-step explanation:
I need a layout
In a class of 32 students, 16 students study Spanish, 14 students are in band, 6 students are in both Spanish and band. What is p(Only Spanish Student)?
Answer:
Step-by-step explanation:
16 students study spanish, but 6 student that study spanish are also in the band.
16-6=10
So there are 10 students who only study spanish.
what is the answer to this image
Answer:
A
Step-by-step explanation:
You are wayyyy to young to be on this site. I mean... 5TH GRADE!!!!
George walks to a friend's house.
Answer:
George is a good friend :)
Step-by-step explanation:
WILL MARK BRAINLIEST! Kody’s alarm rings every 11 minutes, and his dad calls upstairs every 15 minutes to wake him up. But Kody will only wake up if his alarm rings and his dad calls him at the same time. If his alarm first rings at 7:00 a.m. and his dad first calls him at 7:05 a.m., at what time will Kody wake up?
Answer:
10:15
Step-by-step explanation:
1/3 of 5/8 as a fraction
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
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dont just say a random percentage to get brainliest i actually need help
Answer:
8/40 = 20%
Step-by-step explanation:
Simply count the cubes in the blue rectangle, then count the cubes in the red rectangle. Divide red by blue, multiply that by 100. Thus giving your percent.
Factor each completely :
NEED THIS ANSWER ASAP
Answer:
4) 7k² + 9k
= k(7k + 9)
5) x² - 25
= (x)² - (5)².
(a² - b²) = (a+b)(a-b)
= (x - 5)(x + 5)
Find the perimeter of ABHG. Round your answer to the nearest tenth of an inch.
Answer:
Step-by-step explanation:
(0,7)(6,-3) find the slope
Answer:
-5/3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 -7)/(6-0)
= -10 / 6
= -5/3
The doctor prescribes Sam a 140 ml bottle of medicine with the instructions to take 5 ml twice a day. How long does the medicine last? Show your solution
Answer:
14 days
Step-by-step explanation:
14
can someone please help me
Answer:
AB = 10
CW = 8
angle BAD = 50
angle CDB = 65
angle DWA = 90
angle WCD = 25
Step-by-step explanation:
use the known facts that a rhombus = 360 degrees, pythagorean theorem, etc. if you want a full explanation lmk and i can edit my response
How to convert 2 years 4 months to years
Answer:
2 1/3 years
Step-by-step explanation:
4 months = 1/3 years
2 + 1/3 = 2 1/3 years
Answer:
2.25 years
Step-by-step explanation:
II 24x2 =52
in What base at the
number?
Answer: WE are multiplying in base 6
Step-by-step explanation:
24 x 2 = 52 can only be in base 6
because 2¹ 4 2 x 4 = 8/6 = 1 rem 2.
x 2₆ 2 x 2 + 1= 5
5 2
From the above , we can see theta 24 x 2 = 52 can only be in base 6.
Because only 2 x 4 = 12 can be possible in base 6.
Counting in base 6 gives us that after 5, the next number is 10. Just like counting in the common base 10, which after 9 we get 1 0
in Base 10--- 1, 2,3, 4,5, 6,7,8,9,10
in Base 6--- 1, 2, 3,4,5,10,11,12, 13,14 and so o
write a word problem that can be modeled by the equation x + 5 = 12
Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7
the ratio of the base to the leg of an isosceles triangle is 2:7. if the perimeter of the triangle is 304 feet, find the length of the base
Step-by-step explanation:
I hit a expected tomorrow:No for completion of a
The required base of the isosceles triangle is given as 38 feet.
What is the isosceles triangle?A triangle with two sides and two congruent angles is called an isosceles triangle.
here,
For a given isosceles triangle,
side/base = 2 / 7
side = 2/7 base = 7 /2 sides
According to the question,
The perimeter of the triangle is 304 feet,
2 side + base = 304
2 [7/2 base] + base = 304
8 base = 304
base= 304 / 8
base = 38 feet
Thus, the required base of the isosceles triangle is given as 38 feet.
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WHAT IS 3³ . (12 - 2) ÷ 2?
Answer:
if the period is a multiplication sign then its 135
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
following the PEMDAS rule, of course
AUVW - APOR
W
63
U
V
77
P
66
R
?
2
Q
SOMEONE PLS HELP.
Answer:
x = 54
Step-by-step explanation:
Since both triangles are similar, therefore,
[tex] \frac{UV}{PQ} = \frac{VW}{QR} [/tex]
[tex] \frac{77}{66} = \frac{63}{x} [/tex]
[tex] \frac{7}{6} = \frac{63}{x} [/tex]
Cross multiply
[tex] 7*x = 63*6 [/tex]
[tex] 7x = 378 [/tex]
Divide both sides by 7
x = 54
I am not understanding this topic in math and I have a huge test tomorrow and I need to sleep, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️
Answer: (-3,-4)
Step-by-step explanation:
If the any x variable is repeated, it is not a function!
Niles scored 70, 74, 72, 71, 73, and 96 on his 6 Geography test. Calculate the mean and median.
Answer:
Mean=76
Median=72.5
Step-by-step explanation:
Mean= 70+71+72+73+74+96
456/6=76
Median = 70,71,72,73,74,96
72+73=145/2=72.5
Mean= 76
Median= 72.5
The first step is to rearrange the numbers
70, 71, 72, 73, 74, 96
1. mean= sum of terms/number of terms
= 70+71+72+73+74+96/6
= 456/6
= 76
2. Median can be described as the middle number, the median can be calculated as follows
= 72+73/2
= 145/2
= 72.5
Hence the mean is 76 and the median is 72.5
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