Given that:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .
To find:
The equation that can be used to solve for zach's age.
Solution:
Let the age of zach be Z.
Zach added 8 to his age = Z+8
And multiplied this sum by 3 = 3(Z+8)
James is 6 times older than his friend Zach = 6Z
Now,
[tex]6Z=3(Z+8)[/tex]
[tex]6Z-3Z=24[/tex]
[tex]3Z=24[/tex]
Divide both sides by 3.
[tex]Z=8[/tex]
Therefore, the required equation is [tex]6Z=3(Z+8)[/tex] is age of zach is 8 years.
What is the missing number in each circle?
2:3:5 = ○ : 9 : ○
6 : 9 : 15
Step-by-step explanation:
[tex]2 : 3 : 5 = 2 \times 3 : 3 \times 3 : 5 \times 3 \\ \huge 2 : 3 : 5 = \red{\boxed{6}} :9 : \purple{ \boxed{15}}[/tex]
The temperature in Toronto, Canada, dropped over three hours from 0 °F to -33 °F. If the temperature dropped the same amount each hour, how
much did the temperature change each hour?
Answer:
The temp. dropped 11 degrees each hour.
Step-by-step explanation:
33 divided by 3 is 11
What is a question without an = sign called
Answer:
a question without an = sign is called an expression
Step-by-step explanation:
Answer:
A query
Step-by-step explanation:
-2(7-y)+4=-4 What is Y?
Answer:
Y=3
Step-by-step explanation:
You first distribute the -2
-14+2y+4=-4
Then you add the 4 and -14
2y-10=-4
Then you move the Y to one side by adding 10 to both sides
2y=6
Divide both sides by 2 to solve for Y
y=6/2
Simplify
y=3
Solve the system: y = 3x + 5 and x = -2y - 4 Answer in this format: (x,y) NO spaces in your answer Enter Answer were BUITIONSWER
Answer:
-2,-1
Step-by-step explanation:
Solve the following system:
{y = 3 x + 5 | (equation 1)
x = -2 y - 4 | (equation 2)
Express the system in standard form:
{-(3 x) + y = 5 | (equation 1)
x + 2 y = -4 | (equation 2)
Add 1/3 × (equation 1) to equation 2:
{-(3 x) + y = 5 | (equation 1)
0 x+(7 y)/3 = -7/3 | (equation 2)
Multiply equation 2 by 3/7:
{-(3 x) + y = 5 | (equation 1)
0 x+y = -1 | (equation 2)
Subtract equation 2 from equation 1:
{-(3 x)+0 y = 6 | (equation 1)
0 x+y = -1 | (equation 2)
Divide equation 1 by -3:
{x+0 y = -2 | (equation 1)
0 x+y = -1 | (equation 2)
Collect results:
Answer: {x = -2 , y = -1
what’s the ratio of $60 in 4 hours
Answer:
The answer is 60:4
PLEASE HELP ME!!! i’m so confused
while shopping kyla found a dress that she would like to purchase but it costs more than she has kyla charges $5.50 aam hour for babysitting she wants to figure out how many hours she must babysit to earn $52.25 to buy the dress
Hellllllllllpppppp! please???
Answer: x < [tex]\frac{54}{11}[/tex]
Step-by-step explanation:
5 - [tex]\frac{2x}{3} > \frac{1}{2} + \frac{x}{4}[/tex] Start by multiply both sides by 3
3(5 - [tex]\frac{2x}{3}[/tex]) > 3(1/2 + x/4)
15 - 2x > 3/2 + 3x/4 Now multiply both sides by
4(15-2x ) > 4(3/2 + 3x/4)
60 - 8x > 6 + 3x Now add 8x to both sides
+8x +8x
60 > 6 + 11x Subtract 6 from both sides
-6 -6
54 > 11x Divide both sides 11
54/11 > x
x < 54/11
The volume, in cubic feet, of a right cylindrical silo of height h and radius r is V = πr2h. The height of the silo is h(r) = 3.5r. Which statements are true regarding the functions described? Check all that apply. To get a volume of 100 cubic feet, the radius must be 2 feet. The domain of V(h(r)) is restricted to values of r greater than 0. The output of V is the input of h. V(h(r)) = 3.5πr3 The volume depends on the radius of the cylinder.
Volume of a cylindrical silo is given by,
[tex]V=\pi r^{2}h[/tex]
Here, [tex]V=[/tex] Volume of the silo
[tex]r=[/tex] Radius of the cylindrical silo
[tex]h=[/tex] Hight of the silo
And height of the silo is defined by the function,
[tex]h(r)=3.5r[/tex]
Option (1)
To get the volume of [tex]100[/tex] cubic feet, radius must be [tex]2[/tex] feet.
Height of the silo can be derived from the function,
[tex]h(2)=3.5(2)[/tex]
[tex]=7[/tex] feet
Therefore, volume of the silo = [tex]\pi r^{2} h[/tex]
= [tex]\pi (2)^2(7)[/tex]
= [tex]28\pi[/tex]
= [tex]87.96[/tex] feet³
Since, [tex]87.96<100[/tex] cubic feet
Statement is false.
Option (2)
Since, [tex]V=\pi r^{2} h[/tex]
And [tex]h(r)=3.5r[/tex]
Therefore, [tex]V[h(r)]=\pi r^{2}(3.5r)[/tex]
[tex]V[h(r)]=3.5\pi r^{3}[/tex]
Domain of the function 'V' will be [tex]r>0[/tex].
Statement is true.
Option (3)
Output of V is the input of h.
From the function,
[tex]V[h(r)]=3.5\pi r^{3}[/tex]
Volume (output value) of the silo depends on the output value of [tex]h(r)[/tex].
Therefore, statement is false.
Option (4)
[tex]V[h(r)]=3.5\pi r^{3}[/tex]
Volume depends on the radius of the cylinder.
Since, output value of the volume depends on the radius.
Statement is true.
Options (2) and (4) are true.
Learn more,
https://brainly.com/question/2848291
Answer:
bde
Step-by-step explanation:
Factorise 6^3+11x^2-12x-5
PLEASE ANSWER URGENT
Answer:
(x - 1)(3x + 1)(2x + 5)
Step-by-step explanation:
Given
6x³ + 11x² - 12x - 5
The sum of the coefficients = 6 + 11 - 12 - 5 = 0
Hence x = 1 is a root and (x - 1) a factor
Dividing 6x³ + 11x² - 12x - 5 by (x - 1) using Synthetic division
1 | 6 11 - 12 - 5
↓ 6 17 5
-------------------------
6 17 5 0 ← remainder
Quotient = 6x² + 17x + 5
Thus
6x³ + 11x² - 12x - 5 =(x - 1)(6x² + 17x + 5) = (x - 1)(3x + 1)(2x + 5)
The ratio of desktop computers to laptop computers at a company is 2 to 9. If there were 108 laptop computers, how many computers will there be in all at the company?
Answer:
24 desktop computers
Step-by-step explanation:
Ratio is 2 to 9
so 2/9=?/108
first divide 108 by 9
That gives us 12
Multiply 2 by 12
24.
24 desktop computers
The required number of desktop computers is given as 24.
The ratio of desktop computers to laptop computers at a company is 2 to 9. If there were 108 laptop computers,
To determine the computers will there be in all at the company.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the number of the computer be x,
According to the question,
x : 108 = 2 / 9
x / 108 = 2/9
x = 2/9 × 108
x = 2 × 12
x = 24
Thus, the required number of desktop computers is given as 24.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ5
Which one is grader -3.5 or -2.5
Answer:
-2.5 is greater
Step-by-step explanation:
it's greater because it's closer to the whole # 1
Answer:
-2.5
Step-by-step explanation:
When you have negatives , the lowest number would always be the greatest
Which numbers are solutions to the inequality
-3x-3 <6Check all of the boxes that apply.
-5
-4
0
2
4
Answer:
0,2,4
Step-by-step explanation:
The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented by PH
in the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards
Answer:
A. 50 yards.Step-by-step explanation:
Given the coordinates of the length of PH as P(2,55) and H(32, 15), to get the actual length of the land bridge from P to H, we will use the formula for calculating the distance between two points.
D = √(x₂-x₁)²+(y₂-y₁)²
PH = √(32-2)²+(15-55)²
PH = √(30)²+(-40)²
PH = √900+1600
PH = √2,500
PH = 50
Hence the actual length of the land bridge from P to H to the nearest yard is 50 yards.
Jake has a can that contains 80% orange
juice and the rest water. The can has 1 liter
of water.
Write an equation using one variable that
can be used to find the total number of
liters of orange juice and water in the can.
How many liters of orange juice are
present in the can?
Answer:
equation 0.8C+1=C
4 liters of orange juice
Step-by-step explanation:
C for can
0.8 as 80%
1 for liters of water
0.8C+1=C
subtract 0.8C
1=0.2C
if 1 liter=20% of a can then 80% is 4 liters
Hope this helps! Plz award Brainliest : )
Now move the center of rotation, R, to a different position on the coordinate plane.
Next, move the slider bar to rotate pentagon ABCDE. How many times does the
pentagon map back onto itself in this situation? What does this tell you about the
location of the center of rotation?
Answer: If the center of rotation is changed, the pentagon maps back onto itself only one time, when the value of a is 360 degrees that is, when the pentagon completes a full rotation. (just a heads up if your going to copy and paste, change it up a bit because this is word for word :) hope it helped!)
Answer:
If the center of rotation is changed, the pentagon maps back onto itself only one time, when the value of α is 360°—that is, when the pentagon completes a full rotation.
Step-by-step explanation:
Sample Answer
Divide 9 divided by 6,158
Answer:
684.222222222
Step-by-step explanation:
Answer:
684.222222222222
Step-by-step explanation:
45 - 3p = 5p - 3 solve
For the pie chart of the given data . What will be the central angle for Butter Scotch flavor category ?
Answer:
120
Step-by-step explanation:
Choose the answer based on the most efficient method as presented in the lesson.
If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be?
add 3x
add x
subtract 6
Answer:
add x
Step-by-step explanation:
what is the step by step solution to −2(1 − 4x) = 3x + 8
[tex]\text {To solve this problem here's what you do}[/tex]
[tex]\text {Simplify the equation:}[/tex]
[tex]\text {(-2)(1)+(-2)(-4x)=3x+8 (Distribute)}[/tex]
[tex]\text {-2+8x=3x+8}[/tex]
[tex]\text {8x-2=3x+8}[/tex]
[tex]\text {Now you will want to Subtract 3x:}[/tex]
[tex]\text {8x-2-3x=3x+8-3x}[/tex]
[tex]\text {5x-2=8}[/tex]
[tex]\text {Next Step is to Add 2:}[/tex]
[tex]\text {5x-2+2=8+2}[/tex]
[tex]\text {5x=10}[/tex]
[tex]\text {Final Step is to Divide 5:}[/tex]
[tex]\text {5x/5=10/5}[/tex]
[tex]\text {Your answer will be:}[/tex]
[tex]\framebox {x=2}[/tex]
[tex]\text {Hope this helps!}[/tex]
[tex]\text {-LimitedX}[/tex]
What is mAnglePHJ?
100°
120°
140°
160°
Answer:
It's B: 120
EDGE 2020/2021
Step-by-step explanation:
Like the guy in the comments said, 140 - 20 = 120
It also makes sense because the whole thing would equal 360, and if you add 140, 20 and 120 together you get 80. As you can see by the angles, there are 2 more sections other than PHJ that we do not know that look equal size. 80 in half is 40, and both sides left look about two times larger than PKH which is the angle with the 20. In conclusion PHJ is 120.
in this cases all angles have to add up to 360, so that's how I know it's 120 by adding up and seeing if this could make up the 360 degrees.
Answer:
B : 120
Step-by-step explanation: Just did the test edge 22 so person above me is correct.
12. Tell whether the data show a direct
variation. If so, identify the constant of
variation.
Number of Baskets Cost
5
$15
7
$21
9
13
$27
$39
$45
15
Answer:
number of baskets would be 3 dollars each from what I see 5 x 3= 15 7x3= 21 9x3=27 Ect
Step-by-step explanation:
15x+5y=10
5x-7y=12
solve using elimination
Find the measures of the labeled angles.
(x+81)° 4x°
(* +81) =
(Type a whole number.)
Answer:
108°
Step-by-step explanation:
The two given angle are vertical angles, which means they are congruent.
(x +81)° = 4x°
81 = 3x . . . . . . . subtract x, divide by °
27 = x . . . . . . . . divide by 3
(27 +81)° = 108° . . . . find the angle measure
The two marked angles have measures of 108°.
please help! I'll give you 10 points
Answer: 8 hundred thousands
Answer:
The value is 800,000
Step-by-step explanation
the 2 is in the thousands spot so that would make the 4 in the ten thousands and the 8 in the hundred thousands.
Hope this help:)
Which expression shows a way to find 22 x 46?
(22 x 4) + (22 x 6)
(22 x 40) + (22 x 6)
(11 x 40) + (11 x 6)
(2 x 4) + (2 x 6)
Step-by-step explanation:
We can use the expression (22 x 40) + (22 x 6).
ACİL BAKARMISINIZ ???????
Ali ile Veli nin paraları toplamı 1800 TL dir. Ali nin parasının 2 katı , Veli nin parasının 3 katına eşittir .
Buna göre Ali nin parası kaç TL dir ?
A)640
B)720
C)960
D)1080
E)1200
Answer:
Hey dude
Step-by-step explanation:
I'm not understanding the language... Really sorry can you translate it into English.. Pls... Peace
Answer:
D
Step-by-step explanation:
A = 3k yapabiliriz
B = 2K yapabiliriz
3K + 2K = 1800
5K = 1800
K = 360
Ali nin parsi = 3k
ali nin parasi = 1080
cevap = D
A concession stand charges $6 for popcorn and $8 for a hotdog. They made $100 in one night and sold 10 bags of popcorn. How many hotdogs did they sell?
Answer:
They sold 5 hotdogs.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
10 bags of popcorn would equal 60 dollars. That would leave 40 dollars. So 40 divided by 8 is 5
