What is the unit rate for the ratio 4/7: 8/21?
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
Find the 59th term of the arithmetic sequence 26, 17, 8, ...
Answer:
-496
Step-by-step explanation:
it's right :)
Find the perimeter of quadrilateral ABCD. Round your answer to the nearest hundredth. A(3, 5) B(1, 3) C(3, -1) D(5, 3)
Answer:
Perimeter = 4(√2 + √5) units
Step-by-step explanation:
Given:
Quadrant of 4 points;
A(3, 5) B(1, 3) C(3, -1) D(5, 3)
Find:
Perimeter
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between AB = √(3 - 1)² + (5 - 3)²
Distance between AB = √4 + 4
Distance between AB = 2√2 units
Distance between BC = √(1 - 3)² + (3 + 1)²
Distance between BC = √4 + 16
Distance between BC = 2√5 units
Distance between CD = √(3 - 5)² + (-1 - 3)²
Distance between CD = √4 + 16
Distance between CD = 2√5 units
Distance between DA = √(5 - 3)² + (3 - 5)²
Distance between DA = √4 + 4
Distance between DA = 2√2 units
Perimeter = sum of all sides
Perimeter = 2√2 + 2√5 + 2√2 + 2√5
Perimeter = 4√2 + 4√5
Perimeter = 4(√2 + √5) units
Evaluate x^4 • x^-2 when x = 5
Answer:
x^4 • x^-2 = x^6
Step-by-step explanation:
i only need the awnser for questions 4 and 2 because i dont get them
Answer:
2) 20 students
4) 28 students
Question 2 is 25% - but it's asking how many. If you know the total number of students multiply that times .25 and that number is your answer. So .25 x 80 = 20
Question 4 is 35% also multiplied times the total number of students. So it would be the total number of students multiplied times .35.
So .35 x 80 = 28
Both of these questions want the number of students, not the percent.
Consider the following diagram below.
D
(4x-3)
(39)
(5y)
(6x+13)
F
Find the values of cand y.
Answer:
[tex]x = 19[/tex]
[tex]y = 22.5[/tex]
Step-by-step explanation:
[tex]5y + 3y = 180[/tex]
[tex]8y = 180[/tex]
[tex]y = 22.5[/tex]
[tex]6x + 13 + 4x - 3 = 180[/tex]
[tex]10x - 10 = 180[/tex]
[tex]10x = 190[/tex]
[tex]x = 19[/tex]
Answer: x=17
y=22.5
Step-by-step explanation: trial and error of math nation <333
GIVING 30 POINTS!!!!!!!
Answer:
MEAN
Step-by-step explanation:
Have a Great Day!
Answer:
Not quite sure, but I think its the mean?
Katie make $63.70 babysitting for 6.5 hours how much money does she make per hour
Answer:$9.8
Step-by-step explanation:
I divided 63.70 by 6.5 and got 9.8 I checked my workers by multiplying 9.8 and 6.5 to get me with 63.70
Plz I need to know this
Answer:
triangular prism
Step-by-step explanation:
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....
Answer:
D
Step-by-step explanation:
1/12 X 110 = .0833333333 x 110 = 9.16
D. 9
Step-by-step explanation:
110÷12 = 9.1 however just round down to 9
since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it
Aaron has a pencil that is
foot long.
foot long. He has a pen that
is 0.7 foot long. Measured in
feet, how much longer is Aaron's
pencil than pen?
Answer: 0.1 ft longer
4/5 = 0.8
0.8 - 0.7 = 0.1
Name the number that is 4 units
to the left of the number 1 on the number line.
Answer:
-3
Step-by-step explanation:
Answer:
-3 (negative three)
Step-by-step explanation:
when you move to the left you SUBTRACT
when you move to the right you ADD
So for this...
4-1
answer:
-3
Find 50% of 84
Find 25% of 84
Find 75% of 84
Answer:
1. 42
2. 21
3. 63
Step-by-step explanation:
Hope this helps have a nice day!
Answer:
1) 42
2) 21
3) 63
Step-by-step explanation:
1)
50% = 0.5
84(0.5) = 42
2)
25% = 0.25
84(0.25) = 21
3)
75% = 0.75
84(0.75) = 63
Please Help!!!!!!!!!!
Answer: Yes, because there are at least two claims
Step-by-step explanation:
Ur welcome 3>
look at pic 10 pts will mark brainilest
Answer:
There is nothing attached
Step-by-step explanation:
Where is the picture?
Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $16,000 invested at a rate of 1.2% compounded monthly;7 years
A. A=16,100 (1.001)^7t; $17,469
B. A=16,100 (1.1)^12t; $6,766,377,209
C. A=16,100(1.001)^12t; $17,510
D. A=16,000(0.001)^12t; $24,150
Answer:
The answer to this question is:
A = 16,100(1.001)12t; $17,510
Step-by-step explanation:
The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]
The balance after 7 years will be $17409.
How to calculate the compound interest if it is compounded monthly?Let, P = the principle amount
r = the rate of interest, compounded monthly
t = the time period
Therefore, the amount will be
[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]
Given, the invested amount is $16000.
The rate of interest is 1.2%, compounded monthly.
Total duration of investment is 7 years.
Therefore, the model function of this compound interest is:
= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]
The amount will be
[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]
Therefore, after 7 years, the amount will be $17409.
Learn more about compound interest here: https://brainly.com/question/22739288
#SPJ2
5 + x = 7.5 what is x?
Answer:
2.5
Step-by-step explanation:
Answer:
5 + x = 7.5
x = 7.5 - 5
x = 2.5
Step-by-step explanation:
•°•°•°•°•°•°•°•°•
For what value of x does 3^2X = 9^3x-4?
Answer:
the answer is x=2.
Step-by-step explanation:
study
Answer:
the answer is x=2. Hope this helps!!!
Step-by-step explanation:
Housing Price.The file calledsaratoga.JMPcontains data on 1728 houses in Saratoga, NewYork in the year 2006. The dataset includes many features of houses such as the selling price($), total living area (square feet), age (years), value of the land ($1000) the house was buildon, number of bedrooms and bathroom. We want to predict the selling price of a house ($)based on the total living area.(a) Identify the response variable (y): (Choose one.)i. total priceof all houses in the U.S.ii. average priceof houses in the U.S.iii. priceof a house in Saratoga, N.Y.
Answer:
iii. priceof a house in Saratoga, N.Y.
Step-by-step explanation:
In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.
Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.
In this question:
Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.
What is the constant in 24y-8
Answer:
8 ( 3 − 1 )
Step-by-step explanation:
Can Someone Help Me. ? Please
Answer:
the first answer maybe?
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<ONP and <MNP
Step-by-step explanation:
Find the volume of the following figure using unit cubes.
Answer:
Volume : 94
Step-by-step explanation:
2(4 x 5) = 40
2(3 x 5) = 30
2(3 x 4) = 24
------------------
40 + 30 + 24 = 94
Find the 11 term of the following geometric sequence.
10, 40, 160, 640, ...
Answer:
099 787 989
Step-by-step explanation:
What is the area of 25mm circle
Step-by-step explanation:
490.87 square inches
3.4088 square feet
0.37876 square yards
3,166.9 square centimeters
0.31669 square meters
In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest
tenth of a cm, how long is that leg?
Answer:
36.5 cm
Step-by-step explanation:
The Adjacent leg is 36.5 cm
What are trigonometric functions?"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
What is hypotenuse, opposite and adjacent side of a right angled triangle?"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."
We have
Hypotenuse (AB) = 58 cm
Angle θ = 51 degree
From the figure, by using trigonometric functions
Cos θ = [tex]\frac{BC}{AB}[/tex]
we have to find BC
Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]
We have, AB = 58 cm
BC = AB cos [tex]51^{0}[/tex]
⇒BC = 58 . cos [tex]51^{0}[/tex]
⇒BC = 36.50 cm
⇒BC = 36.5 cm
Hence, Adjacent leg is 36.5 cm
Learn more about trigonometric functions here
https://brainly.in/question/1013629
#SPJ2
3/4(1/4x + 8) - (1/2x + 2) = 3/8(4-x) - 1/4x
What is the value of x?
Step-by-step explanation:
0.75(0.25x+8)-(0.5x+2)=0.375(4-x)-0.25x
0.1875x+6-0.5x-2=1.5-0.375x-0.25x
0.1875x-0.5x+0.375x+0.25x=1.5-6+2
0.3125x=-2.5
x=-2.5/0.3125
x= -8
PLEASE HELP AGAIN. IM TIMED
Answer:
B, 3 8/9
Step-by-step explanation:
It all comes down to equivalent fractions.
2 1/3 as an improper fraction is 7/3.
1 5/9 as an improper fraction is 14/9. 1/3 = 3/9.
With that being said 7 x 3 = 21 resulting in 21/9.
14/9 + 21/9 = 35/9.
35/9 as a mixed fraction is 3 8/9.
Kira is building a slide for her kids. If the ladder is 9 feet tall and she wants the bottom of the slide to be 12 feet from the ladder, how long does the slide need to be?
Answer:
ayah
Step-by-step explanation:
Dana bought 144 pencils for $8.64.which equation could be used to determine the cost of each pencil,x?
A.144/8.64=x
B.x/144=8.64
C.8.64-x=144
D.144x=8.64
Answer:
144x=8.64
This way you can divide by 144 to find how much each individual pencil costs