Answer:
Angie originally has $75 on her card.
She only uses the card for a daily cup of tea of $2.85
Then the equation:
y = $75 - $2.85*x
represents the balance on the card after x cps of tea.
a) The x-intercept is the pair (x, 0), meaning that y = 0, so this is the point at which the balance of the card is zero.
Here we need to solve:
0 = $75 - $2.85*x
$2.85*x = $75
x = $75/$2.85 = 26.3
Here we have a particular case because she can not buy 0.3 of a cup of tea, so the card will never reach a balance of $0.
The y-intercept is the pair (0, y) so we have x = 0, then: y = $75 - $2.85*0 = $75
This is the initial balance of the card.
b) Here we need to solve
y = $35 = $75 - $2.85*x
for x
$35 = $75 - $2.85*x
$35 + $2.85*x = $75
$2.85*x = $75 - $35 = $40
x = $40/$2.85 = 14.03
So after 14 cups of tea, the card's balance will be near $35.
Which values are solutions to the inequality below?
Check all that apply.
X < 9 HELPPP MEEE PLSSS
Answer:
is 5 i hope it helps
Step-by-step explanation:
okay remember that this < stand for less numbers
Answer:
80, 75
Step-by-step explanation:
[tex]\sqrt{x}[/tex] < 9
x < 9²
x < 81
Thus, 8 is lesser than 81. 80 and 75 are the only numbers lesser than 81 so they are the answer.
Angle DEF is similar to angle JKL.Find the length of JL and KL? First triangle DF 12.4cm DE 4cm EF 9cm other triangle JK 3cm JL ? KL ?
Answer:
KL = 6.75cm
JL = 9.3cm
Step-by-step explanation:
SInce Angle DEF is similar to angle JKL.
Then;
DE/EF = JK/KL
Given
DE = 4cm
JK = 3cm
EF = 9cm
Substitute
4/9 = 3/KL
4KL = 27
KL = 27/4
KL = 6.75cm
Similarly
DF/EF = JL/KL
12.4cm/9 = JL/6.75
9JL = 12.4 * 6.75
9JL = 83.7
JL = 83.7/9
JL = 9.3cm
Here are four number cards. 7,1,8,4. Using only three of the cards, write down the three digit number closest to 800 that can be made.
Answer:
784 or 814
Step-by-step explanation:
these two numbers can be the closest written to the value of 800
Please answer help thank you
A city pool has 3 wading pools. Each pool is in the shape of a parallelogram with a
base of 4.2 meters and a height of 3.2 meters. What is the total area of the splash
pads?
40.32 m2
O
13.44 m2
O m
10.4 m2
Answer:
i think it's 13.44
Step-by-step explanation:
im not really sure, but let me know if im wright pls!!
hope this helped!!
Solve system of linear equations by graphing.
-2x - 5y = -10
3x + 6y= 18
Answer:
this is the answer bb
Step-by-step explanation:
PLS HELP, WILL REWARD BRAINLIEST ASAP :)
What’s the value of x?
Answer:
x=114 i believe
Step-by-step explanation:
x+66=180
subtract 66 from 180,which gives you 114
PLZ PLZ PLZ PLZ HELP WILL GIVE BRAINLIST IF CORRECT!
Answer:
104.92
Step-by-step explanation:
PLEASE HELP ME!! ASAP
Given f(x) = x^2 – 10x + k, and the remainder
when f (x) is divided by x + 2 is 32, then what is
the value of k?
Answer:
Step-by-step explanation:
PLEASE HELP ME!! ASAP
Given f(x) = x^2 – 10x + k, and the remainder
when f (x) is divided by x + 2 is 32, then what is
the value of k?
$480 is shared in the ratio 4:3:5
i need help pls and thank you
The distance in miles that some students live from school is show in the histogram which stamen about the data in the histogram is true
Answer:
D). The distribution of the data is symmetrical, so the mean and median are within the "2.1-3 mile" category.
Step-by-step explanation:
The last statement i.e. 'The distribution..."2.1-3 mile" category' correctly asserts a true claim regarding the data provided in the given histogram. It aptly states that the dissemination of the data is uniform(2, 4, 5, 4, 2(no. of students) live between the distance of 0.1 to 5 miles from the school) and this causes both the mean, as well as, the median of the distribution to fall in the category between '2.1 to 3 mile.' Thus, option D is the correct answer.
Round the following real number to the nearest hundredth: 67.498
Answer:
67.50
Step-by-step explanation:
Answer:
67.5The hundredth is always the second number after the decimal point (to the right).
So, when rounding to that number look at the number on the right of it, which in this case is 9.
Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.
In this case, the number above 0.49 is 0.5.
Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!
Help Please ASAP all answers are greatly appreciated!
Answer:
its either a or b not entirely sure on which
Step-by-step explanation:
the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps
Answer:
236.5
Step-by-step explanation:
Sorry if it looks messy, I messed up in the middle!
which of the following statements is correct
Please help! 20 points!
Answer:
i dont know sorry
Step-by-step explanation:
Urgent!
E is directly proportional to F.
When E = 2, F = 8
(a) Find an equation for E in terms of F.
(b) Find the value of E when F = 30
(C) Find the value of F when E = 100
Answer:
a. 4×2 = 8
b. E = 120
c. F = 400
Ben put $6,500 into a savings account that earns 2.5% interest each year. How much interest will he earn after 6 years in the savings account?
Answer:
$1,038
Step-by-step explanation:
the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).
2.5% as a decimal is 0.025
We will add that to 1, because when we earn interest, we are gaining money.
So we will substitute our given numbers into the equation:
y=6500(1.025)^6
solve:
y=$7,5638 (rounded)
That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount
75638-6500
$1,038
So he made $1,038 in interest
The dimensions of a box are (x+3),(3x-4),(5x+1). What is the volume of the box? 9x 9x^3 15x^3+28x^2-55x-12
Answer:
15x^3+28x^2-55x-12
Step-by-step explanation:
Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.
assuming the box is cuboidal
Therefore, volume of the box = Length× width× height
⇒volume of the box = (x+3)×(3x-4)×(5x+1)
now, (x+3)×(3x-4) = (3x^2+5x-12)
Now, volume of the box = (3x^2+5x-12)×(5x+1)
= 15x^3+28x^2-55x-12
I paid $30.48 for 12 gallons of gas. What is
the unit rate of gas per gallon?
FAST PLLZZZZ
Answer:
$2.54 per gallon
Step-by-step explanation:
30.48 / 12 = 2.54
Answer:
$2.54
Step-by-step explanation:
30.54 / 12 = 2.54
16
Kaci has $760 in her savings account and $200
in her checking account. If she withdraws $40
from her checking account, find the ratio of her
checking account balance to her savings
account balance. Write the ratio in simplist
form.
What is 200 - 40? Also, the GCF of 160 and 760 is 40
Answer:
Step-by-step explanation:
mkk
Simplify the following surd expressions
a) 5√5 - 2√5
b) 8√7 + 3√7
Answer:
a)3√5
b)11√7
is answer.
Evaluate: C(14, 10)
no pic just answer it
Given:
The combination C(14,10).
To find:
The value of the given combination.
Solution:
We know that,
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
Using this formula, we get
[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]
[tex]C(14,10)=7\times 13\times 11[/tex]
[tex]C(14,10)=1001[/tex]
Therefore, the value of C(14,10) is 1001 and the correct option is B.
The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".
Equivalent expression:using formula:
[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]
putting the given value into the above formula:
[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]
[tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]
Therefore, the final answer is "1001".
Find out more information on the equivalent here:
brainly.com/question/17733453
Find the measure of the missing angle.
17
81 x°
Answer:
82 degrees
Step-by-step explanation:
Hope this helps!
Lmk if you have any questions!
Have a great day! :)
Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?
Answer:
0.67 Laps per minute
Step-by-step explanation:
4 Laps over 6 Minutes
4/6 = 0.67
what is 20.907x0.0004
Answer:
0.0083628
Step-by-step explanation:
Here is the answer
Evaluate the expression for b = 5
3b + 10
Answer:
3b = 3 x 5
3 x 5 + 10 = 15 + 10 = 25
Leo ran 1 1/8 miles every day and for 7 days. He wrote the equation below to help him find the total number of miles he ran for the week.
Answer:
7.875
Step-by-step explanation:
1 1/8 times 7= 7.875
PLEASE HELP! :) IMAGE IS BELOW!! QUESTION: Describe a series of transformations that will transform ∆ABC to ∆A'B'C'.
Answer:
Dilation and translation.
Hope that helps!
Step-by-step explanation: