Given :
Kiara spent $28 on 4 ribbons and 5 balloons.
Sarah spent $28 on 8 ribbons and 3 balloons.
To Find :
The cost of each ribbon and each balloon.
Solution :
Let, cost of each ribbon is x and balloon is y.
For situation 1 :
4x + 5y = 28 ...1)
For situation 2 :
8x + 3y = 28 ...2)
Multiplying equation 1) by 2 and subtracting equation 2) by it :
2( 4x + 5y ) - ( 8x + 3y ) = 2 × 28 - 28
10y - 3y = 28
y = 4
Putting value of y in equation 1) , we get :
[tex]x = \dfrac{28-(5\times 4)}{4}\\\\x = 2[/tex]
Therefore, the cost of each ribbon and each balloon is $2 and $4 respectively.
what area of this face? 10in 4in 2in 2in 2in
Answer: Its 28 in.^2
Step-by-step explanation: Just did it on I ready
The area of this face is,
⇒ 28 in²
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
This face made by three rectangles.
Now,
The area of small rectangle = 4 × 2 = 8 in²
And, The area of large rectangle = 6 × 2 = 12 in²
Hence, The area of this face is,
⇒ 8 + 12 + 12
⇒ 28 in²
Thus, The area of this face is,
⇒ 28 in²
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ3
Solve the equation. Show the process, not just an answer. 6.EE.7
1) 4k = 24
2) 34 + h = 60
3) 1/5x = 30
4) m-42 = 85
Isolate the variable, note the equal sign, what you do to one side, you do to the other.
1) 4k = 24
Isolate the variable, k. Divide 4 from both sides of the equation:
(4k)/4 = (24)/4
k = 24/4
k = 6
2) 34 + h = 60
Isolate the variable, h. Subtract 34 from both sides of the equation:
34 (-34) + h = 60 (-34)
h = 60 - 34
h = 26
3) 1/5x = 30
Isolate the variable, x. Multiply 5 to both sides of the equation:
(5) * (1/5)x = (30) * (5)
x = 30 * 5
x = 150
4) m - 42 = 85
Isolate the variable, m. Add 42 to both sides of the equation:
m- 42 (+42) = 85 (+42)
m = 85 + 42
m = 127
~
Find the area of the figure.
7 cm
8 cm
11 cm
The area is
square centimeters.
Answer:
let's divide the figure in rectangle and triangle.
first we should find the area of triangle.
area of triangle =1/2×base×height
area of triangle=1/2×11cm×7cm
area of triangle=38.5cm²
area of rectangle =length ×width
area of rectangle =11cm×8cm
area of rectangle =88cm²
area of the figure=38.5cm²+88cm²
area of the figure=126.5cm²
Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
A. a = √2
b = √2
Step-by-step explanation:
Apply trigonometric function to find a and b:
Reference angle = 45°
Hypotenuse = 2
Opposite side = a
Adjacent side = b
✔️Apply SOH to find a, which is:
Sin 45 = Opp/Hyp
Sin 45 = a/2
2*Sin 45 = a
2*1/√2 = a (sin 45 = 1√2)
2/√2 = a
Rationalize
(2*√2)/(√2*√2) = a
2√2/2 = a
√2 = a
a = √2
✔️Apply CAH to find b, which is:
Cos 45 = Adjacent/Hypotenuse
Cos 45 = b/2
2*Cos 45 = b
2*1/√2 = b (Cos 45 = 1√2)
2/√2 = b
Rationalize
2√2/2 = b
√2 = b
b = √2
Alaina evaluated 17/18+1/20 and got an answer of 18/38. Which statement is true about her answer?
1. Her answer is not correct because when you add fractions, the sum is always greater than 1.
2. Her answer is correct because all the fractions are less than 1.
3. Her answer is not correct because the sum cannot be less than either addend.
4. Her answer is correct because 17+1=18 and 18+20=38.
Answer:
I think it's 3. cuz 17 cannot be divided by 18
A car drives ninety-one miles on seven gallons of gas. How many miles does the car
travel per gallon?
Answer:
13
Step-by-step explanation:
Thursday night Sami spent 3/8 hour practicing the piano and Jordyn spent 7/8 hour practicing the trumpet. How much more time did Jordyn spend practicing than Sami
Answer:
1/2 more time than the length Sami did.
Step-by-step explanation:
7/8 - 3/8 = 4/8 = 1/2
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
!!!!!!Please help !!!!!!
About 61
About 41
About 29
About 56
Answer:
Your answer is about 41
Step-by-step explanation:
From looking at where the dots are placed, I made my line of best fit allowing for me to choose the closest answer, this your answer is B
Hope this Helps, Have a Splendid Day, And Your Welcome!!!
make x the subject of mx+a=nx-2
step by step answer please
Answer:
x=
[tex] - (2 + a) \div m - n[/tex]
Please help with this
Answer: The answer is the first choice that states “ASA”.
Step-by-step explanation: ASA means angle, side, angle. From T - Q in triangle STQ it goes from angle, side, angle. From P - M in triangle NPM it also goes from angle, side, angle.
Find the value of x so that FED ~ZYZ
need help asap
Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion
[tex]\frac{FE}{ZY} =\frac{ED}{XY} = \frac{FD}{XZ}[/tex]
Then we plug in the values
[tex]\frac{6}{12} = \frac{7}{14} = \frac{2x-5}{22}[/tex]
[tex]\frac{6}{12}[/tex] and [tex]\frac{7}{14}[/tex] can be simplified to [tex]\frac{1}{2}[/tex], so that is our ratio of similarity
then we know
[tex]\frac{1}{2} = \frac{2x-5}{22}[/tex]
Now solve
1. Cross multiply
2×(2x-5) = 22
2. Distribute
4x-8 = 22
4x=30
x=7.5
There is your answer, x=7.5
Hope this helped.
Round 2,389.3 to the nearest ten
Answer:
2,390
Step-by-step explanation:
Answer:
Step-by-step explanation:
2390
Hope that helps!
Out of 84 students in the school Sports club, 32 students opted for Athletics, 24 students opted for
Cricket and the rest opted for Tennis. Find the ratio of the following in the simplest form.
a) Ratio of number of students opted for Athletics to total number of students.
b) Ratio of number of students opted for Cricket to number of students opted for Tennis.
Answer:
a. 32:84 so simplified it becomes 8:21
b. 24:28 so simplified it becomes 6:7
Answer:
a) 8:21
b) 13:41
Step-by-step explanation:
a) 32:84
=8:21
b) 24:26
12:13
If two angles of a triangle are 75° and 40°, how many degrees is the third angle
Answer:65°
Step-by-step explanation:40+75+x=108X=65At 12 p.m., the number of cars in a parking lot is 67. It is estimated that the number of cars in the parking lot will decrease by 8% each hour. Write a formula for the number of cars in the parking lot.
Answer:
An=67⋅0.92n
Step-by-step explanation:
The solution is, the formula found in the given question is ,
An=67. 0.92n.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
At 12 p.m., the number of cars in a parking lot is 67.
It is estimated that the number of cars in the parking lot will decrease by 8% each hour.
so, we get,
Given,
at first the number of cars in a parking lot is = 67
now, it is decreasing by 8% each hour.
So, for any hours , let after 'n' hours,
the number will be = 67 * (100 - 8)%×n
=67 * 92%×n
= 67* 0.92n
Thus, The solution is, the formula found in the given question is ,
An=67. 0.92n.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ3
What is the volume of this prism?
23.9
47.7
9.0
4.5
Last week Besty made an 80 on her quiz. This week she made a 75. What is the percent of decrease in her score?
Erin is training for a marathon and wants to run at least 14 miles. She has already run 4 miles and starts to jog at a steady rate of 9 miles per hour.
1. Write an inequality representing the situation
2. Solve for the inequality H
Answer:
just add the miles up.
Step-by-step explanation:
I need help with this
Ginger and Roger want to put together a family budget to get a better understanding of where they are spending their money.
Which graph would be the best choice to use to present the data?
Answer:
Circle Graph
Step-by-step explanation:
PLEASE HELPPPPPPPPPP
Answer:
b=5
Step-by-step explanation:
We are going to use the basics of algebra to solve thisWe need to isolate b by itself to find the value of b.
[tex]8b + 12 = 52[/tex]
Subtract 12 from both sides
[tex]8b = 40[/tex]
[tex]b = 5[/tex]
What side length did Mr.Freeman measure the second time?
Answer: D) 2.33 meters
==========================================================
Explanation:
The hundredths digit is 1/10 of the tenths digit. Because of this, the tenths and hundredths digit must be the same digit.
Only choice D fits the description.
The digit in the tenths place represents the value 0.3
Taking 1/10th of this leads to (1/10)*0.3 = 0.1*0.3 = 0.03
So the hundredths place represents the value 0.03
Note that,
2 + 0.3 + 0.03 = 2.33 meters
Write an explicit and a cursive equation for the geometric sequence
a. 2, 10, 50, 250, 1250, . . .
Answer:
Step-by-step explanation:
Explicit
a_n = a1 * r^(n - 1)
Find r by dividing term (n)/(n - 1)
r = 250 / 50
r = 5
a_n = a * r^(n - 1)
Recursive
a_n = a_(n-1)*r
Try an example
Find a_6
a_6 = 2 * 5^(6 - 1)
a_6 = 2 * 5^5
a_6 = 2 * 3125
a_6 = 6250
recursive
a_n = a_(n - 1)*r
r = 5
n = 6
a_n = 1250 * 5
a_n = 6250
The explicit method looks a whole lot easier, but not for a machine made by Dell and programed by Microsoft. A computer doesn't really mind doing a whole lot of calculations that are repetitive. And in many cases recursive is easier to program and is faster.
Answer:
explicit: a(n) = 2·5^(n-1)recursive: a(1) = 2; a(n) = a(n-1)×5Step-by-step explanation:
The given sequence is exponential with a first term of a1 = 2 and a common ratio of r = 10/2 = 5.
The explicit equation for an exponential sequence is ...
a(n) = a(1)×r^(n -1)
So, for the given parameters, the explicit equation is ...
a(n) = 2×5^(n -1)
__
The recursive equation for any series defines the next term as a function of previous terms. For a geometric sequence the next term is the previous term multiplied by the common ratio. For this sequence, the recursive definition is ...
a(1) = 2
a(n) = 5×a(n-1)
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1, − 1/ 3 , 1 /9 , − 1 /27 , 1 /81 , . . .
9514 1404 393
Answer:
a[n] = (-1/3)^(n -1)
Step-by-step explanation:
The terms have a common ratio of (-1/3)/(1) = -1/3. The general term for a geometric sequence with first term a1 and common ratio r is ...
a[n] = a[1]×r^(n-1)
Here, a[1] = 1, so this is ...
a[n] = (-1/3)^(n-1)
PLEASE HELP ME!!!! PLEASE
The number of unique page views on a website is measured each day. The daily views are expressed in the table using scientific notation.
Sunday: 3.4 x 10^3
Monday: 5.37 x 10^4
Tuesday: 1.2 x 10^4
Wednesday: 9.623 x 10^3
Thursday: 2.79 x 10^4
Friday: 6.821 x 10^4
Saturday: 7.954 x 10^3
The number of views on the day with the most views is how many times as great as the number of views on the day with the fewest views?
A.) 5
B.) 8
C.) 10
D.) 20
E.) 34
Which expressions are equivalent to 6.6.6.6.6? Choose 2 answers
Answer:b and c
Step-by-step explanation:
Find the area of the irregular polygon 4ft and 12ft and 8ft
Answer:
I think it is 24
Step-by-step explanation:
PLEASE HELP I'LL GIVE BRAINILLEST!!!
Answer:
Step-by-step explanation:
Eu não lembro como fais desculpa preciso dos pontos para minha pergunta desculpa mesmo
Which of the following is considered a trinomial 5x ^ 2 - 3x + 5 4x ^ 2 + x - 5 (x ^ 2)/5
Answer: 4x^2 +x-5
Step-by-step explanation: