Answer:
1 quarts of red paint
2.4 quarts of blue paint
Step-by-step explanation:
Let :
a = quarts of blue paint
b = quarts of red paint
a + b = 3 2/5
a + b = 3.4 - - - (1)
Ratio of a and b :
a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4
a/b = 2.4
a = 2.4b - - (2)
From (1)
2.4b + b = 3.4
3.4b = 3.4
b = 1
a + b = 3.4
a + 1 = 3.4
a = 3.4 - 1
a = 2.4
A high school play is sold tickets to their performance and wanted to see how many tickets were adults (x) and how many were students (y). There were 50 more adult tickets sold compared to student tickets. Adult tickets were $5, student tickets were $2, and they collected a total of $950. Write 2 equations and solve this system.
Answer:
70
Step-by-step explanation:
The equation are x = y + 50 and 5x + 2y = 950
Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.
Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:
x = y + 50 (1)
Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:
5x + 2y = 950 (2)
5(y + 50) + 2y = 950
y = 100
x = 100 + 50
x = 150
Solving equations 1 and 2 simultaneously gives y = 100 and x = 150
Therefore they was 150 adult tickets and 100 student tickets
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We are painting a rectangular wall of a large room. The dimensions of the wall are 35feet long and 21.5 feet wide. If the total cost of the paint was 421.40 what was the cost in dollars of the paint rounded to the nearest cent
Answer:
56 cent per ft²
Step-by-step explanation:
Wall dimension = 35 feets * 21.5 feets
Total cost of paint used = 421.40
Area of wall = Area of rectangle = Length * width
Area of wall = 35 feets * 21.5 feets
Area of wall = 752.5 ft²
Cost of paint per square feet:
Total coast of paint / Area of wall
$421.40 / 752.5 ft²
= $0.56 per ft²
= 0.56 * 100 = 56
Find the solution to the equation.
n + 13 = 52
Answer:
N = 39
Step-by-step explanation:
N + 13 = 52
-13. -13
N = 39
Answer:
n = 39
Step-by-step explanation:
To find what n equals, I want to get it alone on one side of the equation.
To do this, I move 13 to the right side of the equation by subtracting 13 from both sides.
13-13=0 so n is the only value on the left side
52-13=39.
You are now left with n = 39
To check that this is right, add 13 to 39. It equals 52, so you know the answer you found is correct.
How many 3-digit numbers are there, for witch all digits have the same parity?
Answer:
27
Step-by-step explanation:
WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4<12 ? DUE BY 10:50
-x/2+4<12
-4 -4
-x/2<8
*2 *2
-x<16
/-1 /-1
x<-16
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hope it helps
Please help me I’m lost
1
Over the weekend, Cedrick drove 45-miles. He used 2-gallons of gasoline. What is the unit rate for miles per gallon?
22,5
Step-by-step explanation:
45 :2 = 22,5 mark me plz thanks
how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)
1=6
x=42
cross multiply
x=7
Please mark brainlist
Henry wanted to turn the following circle graph into a bar graph. the tallest bar in this bar graph will be represented by what part of the family budget?
A: insurance/pension
B: food
C: transportation
D: housing
Can someone HELPPPPPP?!??!?!?
Answer:
5/5 is 1 so D is correct.
Hope this helps!
Graphing & Solving Inequalities
Answer:
x ≥ 1
Step-by-step explanation:
3 + 4x ≥ 7
3 - 3 + 4x ≥ 7 - 3
4x ≥ 4
4x / 4 ≥ 4 / 4
x ≥ 1
1-What is 30% of 45?
2-What is 5%of 55.2
Answer:
13.5 and 2.76
Step-by-step explanation:
Find the value of x.
Answer and Step-by-step explanation:
We see that this is a right angle, which means the entire angle is equal to 90.
We can find what x is by adding this expression and 44 and equaling it to 90.
90 = x + 9 + 44
90 = x + 53
37 = x
The value of x is 37.
I hope this helps!
#teamtrees #PAW (Plant And Water)
3. Alfonso surveyed several students in his school. He asked them to give the grade that they are in any the number of pets they have at home. The results are shown in the table
below.
Survey Results
Number of
Grade
5
6
2
1
4
2
4
1
4
3
5
Pets
0
4
2
3
5
1
2
2
0
5
2
I
Find the correlation coefficient for the data. Round to the nearest hundredth.
the correlation coefficient for Alfonso survey is 0.36.
What is the correlation coefficient?
The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
The table below shows the values of the data x, y and the correlation calculations.
The formula of correlation coefficient is
[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]
From the table substitute all the values.
⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]
⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]
⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]
⇒ [tex]r=\frac{116}{324.81}[/tex]
⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]
Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.
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Helpppp plssss. PLSSS
Answer:
81
Step-by-step explanation:
Hope this helps you!!!
Answer: C: 81
Step-by-step explanation:
1. Find the mean, median, and mode of each set of numbers.
a) 13 kg, 71 kg, 95 kg, 62 kg, 29 kg, 25 kg, 31 kg, 40 kg
base = 5 ft Height= 3.5 ft what is the area
Answer:
the area is 17.5 ft if the shape is a square/rectangle
the area is 8.75 ft if the shape is a triangle
Step-by-step explanation:
How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?
Answer:
1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.
Step-by-step explanation:
Changes in the dimensions of the shape do not effect the area of the shape. True or False
Answer:
I’m doing the assignment and in the reading it says In this lesson, you’ll be exploring how changes in the dimensions of a figure affect its area. so I say. False
hope this helps
Step-by-step explanation:
The statement is false because the area could be changed if the dimensions are changed.
How to find the area of a region?Supposing that there is no direct formula available for deriving the area,
we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The statement is given that 'Changes in the dimensions of the shape do not affect the area of the shape'.
The statement is false because the area could be changed if the dimensions are changed.
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find each measure plz help
Answer:
m∠QRS = 52°
Step-by-step explanation:
From the given figure,
In right triangles ΔRQT and ΔRST,
QT = TS = 7.5 units [Given]
RT ≅ RT [Reflexive property]
ΔRQT ≅ ΔRST [By HL theorem of congruence]
Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]
m(∠QRS) = 2m(∠QRT)
= 2×(26°)
= 52°
The area of Mark's laptop computer
screen is 12x2 + 3x in?. If the length is
3x, write an expression that represents
the width?
Your answer
Answer:
4x+1
Step-by-step explanation:
The area is 12x2 + 3x in
The length is 3x
Formula is A=L*B
12x2 + 3x=3x*B
Divide both side by 3x
12x2+3x divide by 3x=B
4x+1=B
The express for the width is 4x+1
Please mark as brainliest
1
Mrs. Wang has a bag that contains 15 pounds of sugar. For each cake she makes, she uses pound of sugar. How
5
many cakes can she make from the 15 pound bag of sugar?
F 20
75
H
5
15
1
20
Sharon Wells Mathematics Cumulum. Inc 2100-
Grade 5 So Wecks Week 1 Assessment
Answer: she can make 3 cakes with 15 pounds of sugar
Step-by-step explanation: 15÷5=3
Need ASAP!
six less than twice a number is half the number plus twelve
Find the value of x. Round to the nearest degree.
hii! how are you? hope you're having a good day! (: i wish you the best. <3 stay strong and stay safe!
Draw a number line and mark all described points on it.
Numbers that are either negative or greater than 5.
Answer:
hi the answer submersible
Chris has 7/8 yards of purple ribbon and one whole one over 6 yards of ribbon Chris has a total of three holes to over 3 yards of ribbon how many yards of Chris's ribbon are neither purple nor green
Complete question :
Chris has 7/8 yards of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green.
Answer:
1.625 yards
Step-by-step explanation:
Purple ribbon = 7/8 yards
Green ribbon = 1 1/6 yards = 7/6 yards
Total ribbon = 3 2/3 yards = 11/3 yards
Ribbon that is neither purple nor green :
Total ribbon - (green + purple ribbon)
7/8 - (7/6 + 7/8)
11/3 - (28 + 21) / 24
11/3 - 49/24
= 1.625 yards
Starting at n = 1 , find the first 5 members of this sequence : 1+(n-1)2 a. 2,4,6,8,10 b. 1,3,5,7,9 c. 4, 6, 8, 10, 12 d. 3,5,7,9,11
What is 7 divided by 4/5 and 3 1/2 divided bye by 3/4
7 / 4/5 = 8.75 or 8 3/4
3 1/2 / 3/4 = 4 2/3
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hope it helps
Please help. If you get all of them correct, I will Mark you brainliest
9514 1404 393
Answer:
3(2)^(n-1)3(-2)^(n-1)2(3)^(n-1)not geometric2(-3)^(n-1)Step-by-step explanation:
For these, you can find the appropriate formula by looking at the ratio of the first two terms. That will be the number in parentheses in the explicit formula. If there is no match, it is not geometric.
6/3 = 2 . . . an = 3(2)^(n-1)-6/3 = -2 . . . an = 3(-2)^(n-1)6/2 = 3 . . . an = 2(3)^(n-1)5/2 = 2.5 . . . not geometric (arithmetic sequence: an = 2+3(n -1))-6/2 = -3 . . . an = 2(-3)^(n-1)Factor the polynomial: –3x^4 – 9x^3 + 15x^2
Answer:-3x^2(9x^5-5)
Step-by-step explanation:
Step-by-step explanation:
-3x2(x2)-9x3+25x2
-3x2(x2+3x-5)