Answer:
The number of clay flower pots = x = 19
The number of ceramic flower pots = y = 16
Step-by-step explanation:
Let
The number of clay flower pots = x
The number of ceramic flower pots = y
Tara bought 35 flower pots
= x + y = 35
x = 35 - y
The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt.
Hence:
2x + 7y = 150.... Equation 2
Substitute 35 - y for x in Equation 2
2 (35 - y) + 7y = 150
70 - 2y + 7y = 150
-2y + 7y = 150 - 70
5y = 80
y = 80/5
y = 16 flower pots
x = 35 - y
x = 35 - 16
x = 19 flower pots
The number of clay flower pots = x = 19
The number of ceramic flower pots = y = 16
Answer:
The number of clay flower pots = 19
The number of ceramic flower pots = 16
Step-by-step explanation:
Options are line ED, line EH or line CD
Answer:
ED and CF are paralell to eachother
Bananas cost $0.79 a pound. Mrs. Huff bought p
pounds of bananas. She paid a total of $7.90.
Write an equation to represent the situation.
Answer:
p x 0.79 = 7.90 or 0.79 x p =7.90
Determine the domain on which the following graph of f(x) is negative.
Answer:
there is no graph.
Step-by-step explanation:
(1 pt
Find a formula for P = f(t), the size of the population that begins in year t=0 with 2140 members and decreases at a 3.8% annual rate. Assume
that time is measured in years
Answer:
The formula f(t) will be:
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Step-by-step explanation:
We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]
here
f(t) represents the final amount
a represents the original amount
b represents the decay factor
t represents the amount that has passed
Now, map our problem using the same concept formula
as
2150 members are at the beginning, so
a = 2150
as the size of the population has been experiencing an annual decline of 3.8%. so
b = 3.8%= 0.038
so substituting b = 0.038 and a = 2150
[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]
[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Therefore, the formula f(t) will be:
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Please help me solve this answer.
Answer:
1 hour 2 min 20 secStep-by-step explanation:
Given
6 min video ⇒ 17 min uploadUpload time of 1 min video
1 min video ⇒ 17/6 min uploadTime to upload of 22 min video
22 min video ⇒ 22*17/6 = 62 1/3 min = 1 hour 2 min 20 sec uploadMax ran 8 miles on Thursday. One mile is equal to 5,280 feet. Which
proportion can be used to determine how many feet, x, Max ran on
Thursday?
Answer:
5280x=y
Step-by-step explanation:
5280(8) = 42240
The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?
A. 5/12
B. -12/13
C. -5/12
D. 12/13
Step-by-step explanation:
In Quadrant II, cosine is negative.
We know that sin²x + cos²x = 1, so:
cosx = sqrt[1 - sin²x]
= sqrt[1 - (5/13)²]
= sqrt(144/169)
= -12/13 (since cosx is negative here)
The answer is -12/13. (B)
Option B is correct.
Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.
According to the given question
We have, sin ∅ = 5/13
From the trigonometric identities we know that
[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1
substitute the value of sin∅ in the above identity
[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅ =1
⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅ =1
⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]
⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]
⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]
⇒cos∅ = ±[tex]\frac{12}{13}[/tex]
Since, ∅ is in quadrant II, then cos<0
⇒ cos∅ = -[tex]\frac{12}{13}[/tex]
Hence, option B is correct.
Learn more about quadrant and cast rule here:
https://brainly.com/question/11099638
#SPJ2
The air pressure P is inversely proportional to the altitude h. write the related variation equation
Step-by-step explanation:
P * h = k, where k is a real constant.
Write the equation in standard form: -2 (x - 5) = 3y *
0 -2x + 10x = 3y
O y = -2/3x + 10/3
0 -3y - 2x = -10
0 -3-27 = 10
Answer:
In think is the first one
The table below compares a number of shirts bought at a store to the cost of the shirts
4
Number of Shirts
Cost In Dollars
1
1 x 10
2
2 x 10
3
3 x 10
4 x 10
a. Write an expression that represents the cost of s number of shirts,
Answer:
doom
Step-by-step explanation:
this is algebra ,
what is the minimum unit cost?
Answer:
search it up
Step-by-step explanation:
It's timed plzzz help!!!
Answer:
2A/p
the last option
Step-by-step explanation:
gl!!!
Kelsey painted one-fourth of her bedroom in three-sevenths of an hour. At this rate, how long would it take her to paint the entire room?
A 3/28 of an hour
B 28/3 of an hour
C 12/7 of an hour
D 7/12 of an hour
please solve for x
x+19=-9
Answer:
x=-28
Step-by-step explanation:
Answer:
x=-28
Step-by-step explanation:
please help asap!! Find the base
(-2,5), (-1,8), (0,6), (1,6), (2,7) is function or not a function help
Which statement about proteins is TRUE?
A) You cannot consume complete proteins if you eat a vegetarian diet.
B) Animal products like meat and dairy provide complete proteins.
C) Beans provide all the amino acids the body needs.
D) During digestion, your body combines proteins to make amino acids.
Answer:
The answer is
A.) Animal products like meat and dairy provide complete proteins.
Hope this helps! Have a great day :)
Step-by-step explanation:
Name the property that the statement illustrates.
Answer:
Transitive property of segment congruence
Step-by-step explanation:
The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,
The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].In terms of general equivalence relations,
The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].That's the transitive property.
The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.
HELP!!!
Which question is not a linear equation?
1. -4v +2w = 7
2. x/4 = y
3. x = -5
4. 2/x + 3/y = 6
Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?
Answer:
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
WILL GIVE 100 POINTS AND BRAINLIEST TO FIRST TO ANSWER CORRECT
RQ = TQ
1 2
RS _____ ST
Choose the relationship symbol to make a true statement.
Answer:
>
Step-by-step explanation:
In the lesson, we learned that the side opposite the larger angle was larger. In this case; angle 1 is larger than angle 2. This makes line segment RS > ST. Hope this helps!
Also I did this question myself and this was correct. :D.
Each dance class is 3/4 hour it takes a student 7 1/2 hours to learn a dance routine
Answer: 10
Step-by-step explanation:
Well i got 10 if your asking what i think u are
7 1/2 divided by 3/4 = 10
Answer:
The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.
Step-by-step explanation:
The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.
please, someone help me
Answer:
the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4
Step-by-step explanation:
At Stop and Shop this week, grapes the price of grapes is 2.5 pounds (lbs) for $6.70. 1 How many pounds of grapes can you buy for $9.00? Clearly show your math reasoning
Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.
Step-by-step explanation:
What is the value of v?
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Please help!
Melissa's penny bank is 3/10 full. After she adds 240 pennies, it is 4/5 full. How many pennies can Melissa's bank hold?
the equation of the line through (3 -4) with slope 2/3 is:
WILL GIVE BRAINLIST
Answer:
[tex]y = \frac{2}{3}x - 6[/tex].
Step-by-step explanation:
(3 , -4) ; slope(m) = 2/3
y - y1 = m (x -x1)
[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]
A woman bought 210 oranges for GH¢65.00. she sold all of them at 3 for ¢20.00. how much profit did she make?
Answer:
She made a profit of 1,335 cedis
Step-by-step explanation:
Here, we want to calculate the profit made
Profit is selling price - cost price
Her cost price is 65 credits
For her selling price;
she sells 3 for 20 cedis
So the price she sold 210 will be;
(210 * 20)/3 = 1,400 cedis
So the profit made is;
1,400-65 = 1,335 cedis
Please help me I am in a hurry to go somewhere so please help quick
Three sisters are each less than 45 years old. The mode of their ages is 35. The range is 14. What is the mean of their ages? The median?
a.
29.7; 35
c.
35; 30.3
b.
30.3; 28
d.
30.3; 35
Please select the best answer from the choices provided
sorry about the answer choices being mixed up im still in a hurry
Answer:
I'm so sorry I don't know this answer but good luck
Answer: since it doesn't tell you how you get it.
Since the mode of the ages is 35 we know that at least two of the ages are 35. Since the range is 14 we know the third sister is not also age 35. Let x be the age of the third sister. Then we know either 35 - x = 14 or x-35 = 14 (depending if x is younger or older, respectively). Solving both of these gives x = 21 or x = 49. But all the sisters are under the age of 45, so x = 21. Hence, the ages of the sisters are
21, 35, 35.
So, the mean is (35+35+21)/3 = 91/3 =~ 30.3333 ...
The median is 35.
Ahmed is saving his money to buy a IPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed ro have enough momey to buy the Ipad? Answer Choices: A: 2 weeks, B: 3 weeks, C: 4 weeks or D: 5 weeks
Answer:
5
Step-by-step explanation: