Answer:
a) Equation: 115 - 2.5x = 95 - 2x
ii) x = 40
b) The value of each gift card for which they'll be equal = 15
Step-by-step explanation:
a) Equation for the number of 30 days until the value of the gift cards are equal:
card 1: gift card for 115 that loses 2.50 for each 30-day period
115 - 2.5x - - - - (1)
card 2: gift card for 95 that loses 2 for each 30-day period
95 - 2x - - - - - - (2)
equation for the number of 30 day period (x) for which the amount on card 1 is eqaul to the amount on card 2 is given by:
115 - 2.5x = 95 - 2x
making x the subject of the formula:
115 - 95 = -2x + 2.5x
20 = 0.5x - - - - (i)
x = 20 ÷ 0.5
x = 40
b) the value on the gift card
From expression 1 above; 115 - 2.5x
where x = 40
115 - 2.5x = 115 - 2.5(40)
= 115 - 100 = 15
from expression (2); 95 - 2x
95 - 2(40) = 95 - 80 = 15
∴ The value of each gift card for which they'll be equal = 15
22+n=-12 solve for n
Answer:
n= -34
Step-by-step explanation:
You want to get n alone so you would subtract 22 from both sides and -12 - 22 is -34
Answer:
-34
Step-by-step explanation:
22+n=-12
We move all terms to the left:
22+n-(-12)=0
We add all the numbers together, and all the variables
n+34=0
We move all terms containing n to the left, all other terms to the right
n=-34
W(x)=-3x-4 find w (7)
Answer:
w=-7
Step-by-step explanation:
Soooo-
W(x)=-3x-4
divide both sides by x
W=-3-4
combine like terms
W=-7
Answer:
w(4)=3(4)+7
w(4)=12+7
w(4)=19
which of the option goes in the box i need hlep pls
The problem C(x)=25x+50 represents the labor coat in dollars for quick cedar to build a deck where x is the number of hours of labor
Answer: 18.6 or 93/5
Step-by-step explanation:
See attached picture
Help (no it’s not HEAD)
Answer:
AIHC
Step-by-step explanation:
2 less than the quotient of 5 and number x
Answer:
[tex]\frac{5}{x} -2[/tex]
Step-by-step explanation:
PLEASE ANSWER THIS ASAP!!!
Answer:
so --#9 siunuens sidbishdidhdh did he idbd
Miguel had $320 dollars in his bank account and adds $15 each month. How many months will it take for Miguel to have more than $910 in his account.
Answer: just more than 39.3 months
Step-by-step explanation:
$320 + 15m = $910
-320 + 15m = $910 - $320
15m= $590
15 15
m= 39.3 months
what did you do to numerators? what did you do too to the denominatores?
Answer:
what do you mean by "what do you do to...."
Can someone please help me?
Caleb types 100 words in 5 minutThe table below shows the cost of bananas at a local grocery store.
Banana Prices
Weight of Bananas
(pounds)
Cost
($)
1
0.75
2
1.50
3
2.25
4
3.00
?
3.75
How many pounds of bananas cost $3.75?es. What is the unit rate
a. Connie has $100 in her piggy bank. Ryan has 3 times more than Connie. How much money does Ryan have?
Joe's equation: 100 cross times 3 equals r
Answer:
Its 300
Step-by-step explanation:
Because 100 x 30 = 300
At a tree farm, there are 9 rows of 36 spruce trees.In each row, 14 of the spruce trees are blue spruce. How many spruce trees are NOT blue spruce?
Answer:
198 spruce are NOT blue
Step-by-step explanation:
Answer:
22 not blue each row.
198 = ANSWER
Step-by-step explanation:
work out the area of this trapezium
6cm
10cm
8cm
17cm
Answer:
(81√15)/4 ≈ 78.43 cm²
Step-by-step explanation:
It can help to draw a diagram.
The base angle at the side of length 6 can be found using the Law of Cosines. Its opposite side is of length 8, and the two adjacent sides are of length 6 and 7. So, we have ...
8² = 6² +7² -2·6·7·cos(α)
cos(α) = (36+49-64)/(84) = 1/4
α = arccos(1/4) ≈ 75.522°
Then the height of the trapezium is ...
6·sin(75.522°) ≈ 5.80948 . . . . cm
__
The area of the trapezium is given by the formula ...
A = 1/2(b1 +b2)h
A = (1/2)(17 +10)(5.80948) . . . . cm²
A ≈ 78.43 cm²
__
Of course, sin(arccos(1/4)) = (√15)/4, so the exact formulation of the area is ...
A = (81√15)/4 cm²
Will give Branliest!!!
whitch inequality is true?
A) 2pi-1≤5
B) pi+8≤11
A square serving platter has an area of 124 inches squared. Which is the best estimate of the side length of the platter?
Answer:
Approximately 11 inches
Step-by-step explanation:
Answer: d 11.1 inches
Step-by-step explanation:
Cute
Given right triangle XYZ, what is the value of tan(Y)?
One-half
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Answer:
StartFraction StartRoot 3 EndRoot Over 3 EndFractionStep-by-step explanation:
Find the diagram attached.
From the right triangle XYZ:
XY is the hypotenuse
XZ and YZ are opposite and adjacent
To get value of tan(Y), we will use the SOH, CAH, TOA, trigonometry identity.
According to TOA:
Tan(Y) = XZ/ZY
First let us get XZ
Using SOH
SinY = opp/hyp = XZ/XY
SinY = XZ/4
Sin30 = XZ/4
XZ = 4sin30
XZ = 4(0.5)
XZ = 2units
Next is to get ZY:
Using Pythagoras theorem:
ZY²+XZ² = XY²
ZY² = XY²-XZ²
ZY² = 4²-2²
ZY² = 16-4
ZY² = 12
ZY = √12
ZY = √4*3
ZY = 2√3
Solve for tan(Y):
Since Tan(Y) = XZ/ZY
Tan(Y) = 2/2√3
Tan(Y) = 1/√3
Rationalize
Tan(Y) = 1/√3*√3/√3
Tan(Y) = √3/√9
Tan(Y) = √3/3
Hence the correct option is A. StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Answer:
B
Step-by-step explanation:
StartRoot 3 EndRoot
Explain how your equations were affected by the sign of the ordered pair values (positive or negative).
is the first number a multiple of the second? 56, 8:
Answer:
no
Step-by-step explanation:
no bc 8 is a multiple of 56, not 56 a multiple of 8
if you could subscribe to my friend penny_pg3d on YT that would be great!
What is the measure of angle c?
A. 30°
B. 70°
C. 110°
D. 40°
Answer:
B - 70
Step-by-step explanation:
The angles in a triangle always add up to 180.
70+40=110
180-110=70
Answer:
70 degrees
Step-by-step explanation:
All triangles have 3 angles that add up to 180 degreesHow to solve:40 + 70 + a = 180 // make equation 110 + a = 180 // add like terms- 110 - 110 // subtract 110 on both sides a = 7070 degreesHope this helps :)
Simone examined the pattern in the table.
Powers of 10
Value
10 Superscript 1
10
10 Superscript 0
1
10 Superscript negative 1
StartFraction 1 Over 10 EndFraction
10 Superscript negative 2
StartFraction 1 Over 100 EndFraction
10 Superscript negative 3
StartFraction 1 Over 1000 EndFraction
10 Superscript negative 4
StartFraction 1 Over 10,000 EndFraction
Based on the pattern, which power of 10 would have a value of StartFraction 1 Over 1,000,000 EndFraction?
10 Superscript negative 6
10 Superscript negative 5
10 Superscript 5
10 Superscript 6
Answer:
C. 10 Superscript 5
Step-by-step explanation:
Answer:
10 scripture 5
Step-by-step explanation:
I dont understand what this i keep getting it wrong i need help.
If we start with 5 cells, and each cell divides in two every 15 minutes, how many total after 1 hour?
Answer:
The answer is 80 cells
What is the distance -4 and 7 on a number line?
-f -5(2f - 3). Expand and combine like terms.
You buy a football for $25. It is on sale for 15% off. How much do you save?
$28.75
$3.75
$21.25
$15
Answer:
$3.75
Step-by-step explanation:
Charlie currently has $45 in savings. He had been saving $9 each week. Yesterday he spent $126 of the savings. For how many had he been saving?
A team of bakers can roll and form 5 dozen pretzels in 9 minutes. How many pretzels can this team form in 1 hour?
This team can form
pretzels in 1 hour.
Answer:
This team can form 400 pretzels in one hour
Step-by-step explanation:
How many pretzels in 9 minutes?
5(12)=60
Solve as proportion
60 pretzels = 9 minutes
x pretzels = 60 minutes
60(60)=9x
3600=9x
Divide both sides by 9
x= 400 pretzels
This team can form 400 pretzels in 1 hour
Answer:
this team can form 30 pretzels in 1 hour
Step-by-step explanation:
60 minutes are in a hour, and 60 divided by 9 is 6.6. So that means you would have to use 6. So 9 x 6 equals 54. Now do 5 x 6 and that would equal 30.
If Kailyn ran 3 miles in 20 minutes, how many miles would she run in 1 hour?
1 hour = how many minutes?
Answer:
1 hr =60 mins kailyn ran 9 miles in 1 hour
Step-by-step explanation:
Hope this helps:)
PLZ help I am confusion. Math is hard
Answer:
It is C I am good at math
Step-by-step explanation: