Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
Q1: In the isosceles triangle below the legs are twice the
length of the base. The perimeter is 100 cm. What are the
dimensions of the isosceles triangle?
Answer:
The base of the triangle has a size of 20 cm, while each side has a size of 40 cm.
Step-by-step explanation:
An isosceles triangle is one that has two sides with an identical value, and one side with a different value from the previous ones. Thus, in the case the base will have a different value from the sides. In this regard, the perimeter (the sum of the sides) of the triangle is 100 cm, and the longest sides are twice the size of the base. Therefore, to determine the value of each side of the triangle, the following calculation must be performed:
X + 2X + 2X = 100
5X = 100
X = 100/5
X = 20
Thus, the base of the triangle has a size of 20 cm, while each side has a size of 40 cm.
The price of oil decreased from $52 per barrel to $48 per barrel. What is the percentage decrease in the price of oil? Round your answer to the nearest tenth of a percent.
Answer:
7.7%
Step-by-step explanation:
Given that,
The price of oil decreased from $52 per barrel to $48 per barrel.
We need to find the percentage decrease in the price of oil. It can be calculated as follows :
[tex]\%=\dfrac{52-48}{52}\times 100\\\\=7.69\%[/tex]
or
= 7.7%
So, the percentage decrease in the price of oil is 7.7%.
Answer:7.7%
Step-by-step explanation:
Find c.
Round to the nearest tenth:
Answer:
Step-by-step explanation:
2/Sin(105) = c / sin(15)
2 * sin(15) = c * sin(105) Divide by Sin(105)
2 * sin(15)/Sin(105) = c
2 * 0.2679 = c
c = 0.539
c = 0.5
Cost of materials used $45,000
Direct labor costs 48,000
Factory overhead 39,000
Work in process, beginning 18,000
Work in process, ending 28,000
What is the cost of goods manufactured?
a.
$122,000
b.
$132,000
c.
$142,000
d.
$178,000
d $178,000 cost of foods
how do you subtract a deciamal with different denominators?
Answer: decimals dont have denominators fractions do
Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52
Answer:
46, 30, 24, 18, 12
Step-by-step explanation:
A copy machine makes 28 copies per min. How long does it take to make 119 copies?
Answer:
4 minutes and 15 seconds
Step-by-step explanation:
119/28 = 4.25 (minutes)
.25 of a minute is 15 seconds, so the answer is 4 minutes and 15 seconds
Write 10 3 without an exponent what number Is this ? 5.102+ 3
The value of 10^3 in standard form is 1000
Exponents and valuesGive the exponential form 10^3
This means the product of 10 in 3 places. Mathematically;
10^3 = 10 * 10 10 * 10
10^3 = 100 * 10
10^3 = 1000
Hence the value of 10^3 in standard form is 1000
Learn more on standard form here: https://brainly.com/question/19169731
(3b+2)(b-8) multiply
Answer:
3b^2-22b-16
Step-by-step explanation:
3b^2-24b+2b-16=
3b^2-22b-16
Answer:
3b^2 -22b -16
Step-by-step explanation:
(3b+2)(b-8)
FOIL
first :3b*b = 3b^2
outer : 3b *-8 = -24b
inner: 2*b = 2b
last: 2*-8 = -16
Add them together
3b^2 -24b+2b -16
Combine like terms
3b^2 -22b -16
A person places $85800 in an investment account earning an annual rate of 8.5%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 9 years.
Answer:
$184383.7
Step-by-step explanation:
We are given that
Principal, P=$85800
Rate of interest, r=8.5%=0.085
Time, t=9 years
We have to find the amount of money after 9 years
[tex]V=Pe^{rt}[/tex]
Using the formula
[tex]V=85800e^{0.085\times 9}[/tex]
[tex]V=184383.7[/tex]
Hence, the amount of money after 9 years=$184383.7
(3x ^ 2 - 4 + x ^ 3) / (x - 1)
Synthetic Division
Answer:
i love algebra anyways
the ans is in the picture with the steps
(hope it helps can p lz have brainlist it will make my day
Step-by-step explanation:
Find the measure of x, then the measure of
А
(33-9x)"
48/Dc
x =
degrees
I need it now please!!!
Answer:
x = - 11 ; m∠B = 132°
Step-by-step explanation:
(33 - 9x)° + 48° = 180°
33 - 9x + 48 = 180
81 - 9x = 180
- 9x = 99
x = - 11
m∠B = [33 - 9(- 11)]° = (33 + 99)° = 132°
m∠B = 132°
What is 13x + 21y - 14x - y simplified?
Answer:
-x + 20y
Step-by-step explanation:
trust me.. its right
Homework 9.4 Equations and Word Problems
The flag of a country contains in the senseless triangle if the measure of the third angle of the triangle is 30° more than twice the measure of either of the other two angles find the measure of each angle of the triangle
Answer:
idc
Step-by-step explanation:
If a person can see 6 miles from a height of 25 feet, how far can a person see from a height of 196 feet?
Answer:
24 miles
Step-by-step explanation:
This table shows how long, in minutes, it takes Jeremiah to run his miles.
How long does it take him to run 5 miles? *
Answer:
45
Step-by-step explanation:
follow the table of 9.
9x2=18
9x3=27
9x4=36
9x5=45
A total of 328 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the
number of adult tickets sold. How many adult tickets were sold?
Answer:
246 adult tickets were sold
Step-by-step explanation:
System of equations:
Variables:
x = number of adult tickets sold
y = number of student tickets sold
There were a total of 328 tickets sold, thus:
x + y = 328
The number of student tickets sold was three times the number of adult tickets sold, thus:
y = 3x
Substituting in the first equation:
x + 3x = 328
Simplifying:
4x = 328
Dividing by 4:
x = 328/4
x = 82
y = 3*82= 246
246 adult tickets were sold
Find the diffrence between 7/8 and 1/2 and find the sum of 1/5 and 2/3
Answer:
3/8 and 13/15
Step-by-step explanation:
find the common denominator
In 1990, the cost of tuition at a large Midwestern university was $99 per credit hour. In 2003, tuition had risen to $268 per credit hour
Answer:
63%
Step-by-step explanation:
From the question, we aim to find the percent increase in the tuition
Given data
initial cost= $99 per credit hour
Final cost= $268 per credit hour
% increase= (Final - initial )/initial *100
substitute
% increase= (268- 99 )/268 *100
% increase= 169 /268 *100
% increase= 0.630*100
% increase= 63%
Hence the increase in the tuition from 1990 to 2003 is 63%
What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?
Answer:
Step-by-step explanation:
y - 9 = 3(x - 0)
y - 9 = 3x - 0
y = 3x + 9
Find the surface area of this rectangular prism: Don't forget to show the unit of measure.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the attachment of the prism is not given.
From the attachment:
[tex]L =10cm[/tex] -- Length
[tex]W = 4cm[/tex] -- Width
[tex]H=5cm[/tex] -- Height
Required
Determine the volume
So, the volume is:
[tex]Volume = Length * Width (* Height[/tex]
[tex]Volume = 10cm * 4cm * 5cm[/tex]
[tex]Volume = 200cm^3[/tex]
12. The win-loss record for a football team is 15 wins and 9 losses. What percent of their games
did they win?
Answer:
62.5%
Step-by-step explanation:
if they won 15 and lost 9 games then they played a total of 24 games (15+9). Then you just divid the number of wins (15) by the total number of games they played (24). SO, 15/24=0.652 or 62.5%
Find the missing value.
Hint: Use the number line to find the missing value.
The answer is -12! Good luck!
Help ASAP I’ll mark brainliest
Answer:
D
Step-by-step explanation:
It starts at the left and starting at the left the points start to go down which means it is negative
Q.1 Thee are five girls and three boys in a group. The teacher chose one person at random. How could the teacher make a random choice?
Q.2 A random number generator generates a whole number in the range 1 to 100. What is the probability it is 40 or more if the number is greater than 25?
Answer:
Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys
Q2: 75/100
There are 750 students at school. The ratio of the number of students who do not wear glasses to the number of students who wear glasses is 500:250. Which of the following statements are correct? Select ALL that apply.
Answer:
what are the options
Step-by-step explanation:
Check all the statements that are true:
a. A predicate is a proposition-valued function.
b. It is possible to define disjunction using only negations and conjunction.
c. A conditional is false when both premise and conclusion are false.
d. Domain-restricted universal quantification is logically equivalent to the unrestricted universal quantification of a conditional.
e. The negation of a conjunction is the disjunction of the negations.
f. Inverse and converse are logically equivalent.
g. (p→q)∧(p→¬q) is a contradiction.
h. (p→q)∨(p→¬q) is a tautology.
i. Domain-restricted existential quantification is logically equivalent to the unrestricted existential quantification of a conditional.
j. The contrapositive is the inverse of the converse.
Answer:
a. True
b. False
c. True
d. True
e. False
f. True
g. False
h. True
i. True
j. True
Step-by-step explanation:
The statement a and i are true. The predicates can be defined without an input variable. These numerical variables can be defined without an input variable. The statement b is false since the p to q is not in conjunction rather its contradiction.
Answer:
true
false
true
true
false
true
false
true
true
true
Jamey has 4 quarters, some dimes, and some pennies. If the ratio of quarters to dimes is 8 : 6 and the ratio of pennies to dimes is 7 : 3, then how many pennies does Jamey have?
Answer:
7
Step-by-step explanation:
the ratio of [pennies to dimes is 7:3.... 7 represents pennies and 3 dimes
By the given ratio, Number of pennies does Jamey have are 7.
What is a ratio?"A ratio compares values. A ratio says how much of one thing there is compared to another thing."
According to the question
Jamey has 4 quarters, some dimes, and some pennies.
Ratio of quarters to dimes is 8:6
So, [tex]\frac{4}{d}=\frac{8}{6}[/tex]
⇒ [tex]8d = 6(4)[/tex]
⇒ [tex]d=\frac{6}{2}[/tex]
⇒ [tex]d=3[/tex]
Ratio of pennies to dimes is 7 : 3
So, [tex]\frac{p}{d}=\frac{7}{3}[/tex]
By substituting d = 3
⇒ [tex]\frac{p}{3}=\frac{7}{3}[/tex]
⇒ [tex]p = \frac{7}{3}(3)[/tex]
⇒ [tex]p =7[/tex]
Hence, number of pennies does Jamey have are 7.
Learn more about ratio here
https://brainly.com/question/10167786
#SPJ2
Can somebody please help me!!
Answer:
C≈15.71
Step-by-step explanation: use the circumference formula
It is not suppose to say college. (not part of the question)
Encountering a head wind of 30 miles per hour, it took a plane, whose speed would have been 450 miles per hour, 6 hours to fly from San Diego to Honolulu. What was the distance between these two points?
Answer:
32 I would say is the correct answer to this question