Answers
Answer:
a) y = [tex]\frac{1}{2} x[/tex]
b) y = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
I. If y = 9 and x = 18
so x is double value of y or y * 2
y will be half of x value
that makes y = [tex]\frac{1}{2}[/tex] x
II. If x = 5, replace x with 5
y = [tex]\frac{1}{2}[/tex] (5)
y = [tex]\frac{5}{2}[/tex]
Answer:
(a).
[tex]{ \boxed{ \sf{y = \frac{1}{2}x }}}[/tex]
b).
[tex]{ \boxed { \sf{y = \frac{5}{2} }}}[/tex]
Step-by-step explanation:
explanation for (a):
[tex]{ \sf{y \: \alpha \: x}} \\ { \sf{y = kx}} [/tex]
when y is 9, x is 18
[tex]{ \sf{9 = (k \times 18)}} \\ { \sf{k = \frac{1}{2} }}[/tex]
therefore equation is:
[tex]{ \sf{y = \frac{1}{2}x }}[/tex]
explanation for (b):
when x is 5:
[tex]{ \sf{y = \frac{1}{2}x }} \\ \\ { \sf{y = \frac{1}{2} \times 5}} \\ \\ { \sf{y = \frac{5}{2} }}[/tex]
Related Questions
Functions (solid) and g(dash) are graphed. What is the equation of g?
Answers
Answer:
please give me brillriant answer
Recall that in Linear Functions, we wrote the equation for a linear function from a graph. Now we can extend what we know about graphing linear functions to analyze graphs a little more closely. Begin by taking a look at Figure 8. We can see right away that the graph crosses the y-axis at the point (0, 4) so this is the y-intercept.
Evaluate the expression if m =
-4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.
|16+4(3q + p)|
Answers
Answer:
720
Step-by-step explanation:
|16+4(3(-6)+(2)|
|20(-18*2)|
|20*-36|
|-720|
720
Step-by-step explanation:
[tex] |16 + 4(3q + p)| \\ p = 2 \\ q = - 6 \\ then \\ = |16 + 4(3 \times - 6 + 2)| \\ = |16 + 4( - 18 + 2)| \\ = |16 + 4( - 16)| \\ |16 + - 64| \\ = | - 48| \\ take \: out \: side \: of \: mode \: then \: it \: become \: = 48 \\ \\ thank \: you[/tex]
A scale drawing of a school bus has a scale of 1/2 inch to 5feet. If the length of the school bus is 4 1/2 inches on the scale drawing. What is the actual length of the bus? Explain or show your reasoning.
Answers
Explanation:
Scale drawn:
1/2 inch = 5ft
Meaning that if the drawing scale is 0.5 inch then the actual bus would be 5ft.
If the length of the drawn school bus is 4 1/2 inches. We can write:
1/2 = 5
4 1/2 = x
=> x = (5 x 4 1/2)/1/2
Or x = (5 x 4.5)/0.5
x = 22.5/0.5
x = 45
Therefore the actual length of the bus is 45 ft
5. Mrs. Perkins hosts a birthday party for her son and 7 guests. She orders 2 cookies and a
cupcake for each child. The cost of the cupcake is $2.75, and the total bill is $46.00. What is the
cost of a cookie?
Answers
Answer:
A cookie is $1.50.
Step-by-step explanation:
Variable x = cost of cookies
For each child means the 7 guests plus Mrs. Perkins' son which equals 8.
Set up an equation:
(2x)8 + (2.75)8 = 46
Use distributive property:
16x + 22 = 46
Isolate variable x by subtracting both sides by 22:
16x = 24
Isolate variable x by dividing both sides by 16
x = 1.5
Check your work:
2(1.5) × 8 + (2.75)8 = 46
3 × 8 + 22 = 46
24 + 22 = 46
46 = 46
Correct!
Answer: $1.50 per cookie
Step-by-step explanation:
We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.
Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)
2.75(8) = $22
Now take the total cost of 8 cupcakes and subtract it from the total.
46 - 22 = $24
24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.
(2*8)X = 24
16x=24
x= $1.50
Check:
8[ (1)(2.75) + 2X ] = 46
8[ 2.75 + (2) (1.50) ] = 46
22 + 24 = 46
46 = 46
If a line segment AB is on the number line, and the point A is at - 7 and point B is at 12, the length of AB is ____.
Answers
Answer:
Here,
A=-7
B=12
Length of AB=?
Now, We know that,
Length of AB=-7-12
=-19
Thus, the length of AB is -19
Kelly works two jobs. She usually works at a retail store for eight hours during the day and is paid $15.23 per hour by the store. In the evening she works at a restaurant as a manager for 8 hours and is paid $24.50 per hour. How much does she make on average per hour for the day?
Answers
Answer:
Kelly makes about $19.87 per hour for the day.
Step-by-step explanation:
Solve for retail store:
15.23 × 8
121.84
Solve for restaurant:
24.50 × 8
196
Add both of her paychecks:
121.84 + 196
317.84
Divide the total by the total number of hours to find the average per hour:
317.84 ÷ 16
19.865
Round to nearest cent:
19.865 is about 19.87
100 POINTS
100 PUNTOS
------------------------------------------------------------------
If I buy an apple with 100 coins, how many coins do I need to have 1000 apples?
------------------------------------------------------------------
Si compro una manzana con 100 monedas, ¿cuántas monedas necesito para tener 1000 manzanas?
Answers
Answer:
100,000 coins
Step-by-step explanation:
We can use a ratio to solve
1 apple 1000 apples
------------ = ---------------
100 coins x coins
Using cross products
1x = 100 * 1000
1x = 100,000
We need 100,000 coins
Answer:
100,000 coins
Step-by-step explanation:
1 apple cost 100 coins
We want to find the amount of coins needed to get 1000 apples.
To do so we simply multiply the coins it takes to get 1 apple (100) by 1000
1000 * 100 = 100,000
what is x²-3x+8 if x=4
Answers
Answer:
12
Step-by-step explanation:
Substitute x = 4 into the expression
4² - 3(4) + 8 = 16 - 12 + 8 = 12
Answer:
12
Step-by-step explanation:
x²-3x+8
Plug in:
(4)²-3(4)+8
Use PEMDAS:
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
(4)²-3(4)+8
16 - 3(4) + 8
16 - 12 + 8
4 + 8
12
Hope this helped.
Five explorers plan to share them equally. How many jewels does each get.
Answers
Explanation: 34+48+18=100. 100/5=20
48+34+18= 100
After, you divide you answer by 5.
100/5=20
Therefore, they get 20 jewels each.
Simplify the following expression
by combining like terms.
Answers
Answer:
2x² + 5x
Step-by-step explanation:
Given
3x² + 4x - x² + x ← collect like terms
= (3 - 1)x² + (4 + 1)x
= 2x² + 5x
Find a.
Round to the nearest tenth:
2 cm
150
105
a = [? ]cm
Law of Sines: sin A sin B
sin C
b
Answers
Answer:
1.8 cm to the nearest tenth.
Step-by-step explanation:
The angle opposite side a = 180 - 105 - 15 = 60 degrees.
By the Sine Rule:
a / sin 60 = 2 / sin 105
a = 2 * sin60/ sin 105
= 1.79315
can someone help me please?
Answers
3/4 = 0.75
7/8 = 0.875
3/8 = 0.375
[tex]\\ \sf\longmapsto \dfrac{2}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1(5)}{2(5)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{10}[/tex]
[tex]\\ \sf\longmapsto 0.5[/tex]
#2
[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3(25)}{4(25)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{75}{100}[/tex]
[tex]\\ \sf\longmapsto 0.75[/tex]
#3
[tex]\\ \sf\longmapsto \dfrac{7}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7(125)}{8(125)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{875}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.875[/tex]
#3
[tex]\\ \sf\longmapsto \dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3(125)}{8(125)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{375}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.375[/tex]
Is 33/3 a natural,whole,integer,rational
Answers
Answer:
Rational number . . . . . .
Determine the intercepts of the line.
Do not round your answers.
y=-7x+3
Answers
Step-by-step explanation:
For x-intercept:
put y=0
0=-7x+3
7x=3
x=3/7
points(3/7,0)
For y-intercept:
x=0
y=-7(0)+3
y=3
points(0,3)
Note:if you need to know any question please let me know.can someone help please?
Answers
Answer: x=85 and the equation is at the step by step
Step-by-step explanation:
150 + 77 + 48 = 275
360 - 275 = 85 = x
275 + x = 360
X= 85
Please help me out with this
Answers
6x2+x-2, in case you want it in simpler form
Step-by-step explanation:
(2x-1)(3x+2) = 0
6x + 4x - 3x - 2 = 0
7x - 2 = 0
7x = 2
X = 2/7
Fill in this X for the 2 formulas, I'll do the first one:
2 * 2/7 - 1 =.....
Then take the 2 answers you get and multiply them with each other so you get the surface size (length * width)
Solve using Quadratic Formula
x^2 + 3x - 3 = 0
Answers
Answer:
a= 1 , b= 3 , c= –3
[tex]x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79[/tex]
I hope I helped you^_^
Help me I'm 9 the last box pls
Answers
Answer:
500, 500, 50, 10.
Step-by-step explanation:
5000 ÷ 500 = 10,
500 ÷ 50 = 10
50 ÷ 5 = 10
Answer:
5,000/500 = 10
50 /5 = 10
500/50 = 10
Method:
Calculator ;)
Translate this phrase into an algebraic expression.
The sum of 16 and twice a number
Use the variable n to represent the unknown number.
Answers
The answer is 2n + 16
1 3/4 divided by 2 3/8
will give brainiest pls help
Answers
Answer:
[tex]\frac{14}{19}[/tex]
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{7}{4} \div \frac{19}{8}[/tex]
Applying the fractions formula for division:
[tex]= \frac{7 \times 8}{4 \times 19}[/tex]
[tex]= \frac{56}{76}[/tex]
Simplifying 56/76, the answer is:
[tex]\frac{14}{19}[/tex]
I hope this helps! :)
Answer:
the answer is 14/19
change the mixed numbers to improper fractions then that becomes 7/4 and 19/8 then multiply across 7x8=56 and 19x4=76 that gives you 56/76
Simplifying 56/76,= 14/19
Evaluate the expression when Y=4
Y^2+5y+7
Answers
Answer:
-4
Step-by-step explanation:
If you just have -y as the expression, and the problem tells you that y = 4, then you are going to plug 4 in place of y. - (4).
PLEASE I NEED HELP WITH THIS PLEASE
Answers
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
If 2 – x > x – 2 then the solution of x is
Answers
[tex]\\ \sf\longmapsto 2-x\gt x-2[/tex]
[tex]\\ \sf\longmapsto 2+2\gt x+x[/tex]
[tex]\\ \sf\longmapsto 4\gt 2x[/tex]
[tex]\\ \sf\longmapsto x\lt \dfrac{4}{2}[/tex]
[tex]\\ \sf\longmapsto x\lt 2[/tex]
2 + 2 > x + x
2x < 4
x < 2
What decimal is equal to the following fraction?
12/20
Answers
Answer:
It is 0.6
Step-by-step explanation:
[tex] \frac{12}{20} [/tex]
divide numerator and denominator by 2:
[tex] = \frac{12 \div 2}{20 \div 2} \\ \\ = \frac{6}{10} [/tex]
since it's a tenth, it becomes a value with out decimal place:
[tex] = 0.6[/tex]
2.1.PS-8
Question Help
A package of 4 pairs of insulated gloves costs $29.16. What is the unit price of the pairs of gloves?
Answers
Answer:
7.29
Step-by-step explanation:
B={the first five multiple of 2}. Express it in roster method and rewrite in set builder method?
Answers
Answer:
B (2,4,6,8,10) is the answer
B=(X:X is the first five multipel of 2)
this is a correct answer
HELP ASAP
The city planning committee decides that more than $8,000 must be budgeted for new playground equipment. Each swing set (x) will
cost $450, and each slide (y) will cost $600. Which inequality models this situation?
Answers
Answer:
x+y=$8,000 i guess
Step-by-step explanation:
4x+8=3x+14
please put break it down how you did it
Answers
4x-3x = 14-8
x = 6
Please help ASAP!!!!!!
Answers
Answer:
Step-by-step explanation:
1. 15
2. 40
A cylinder has a base area of 154 cm² and a height of 20cm. What is its total surface area, in cm?? Use, 22/7
A.1188
B.1200
C.1220
D.1224
Answers
Answer:
Hi there!
We've given with the base area and height. We know the formula for base area
Base area = πr²
154 = 22/7 × r²
154 × 7/22 = r²
49 = r²
√49 = r
7 = r
Now
TSA = 2πr(h + r)
TSA = 2 × 22/7 × 7(7 + 20)
TSA = 44(27)
TSA = 1188 cm²