Answer:
The equation can be y = 3b/5 or b = 5y/3
Correct statement and question:
The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.
Write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint.
Source:
Previous question that can be found at brainly
Step-by-step explanation:
Let y to be the amount of liters of yellow paint needed to make the Green Goober's special green paint.
Let b to be the amount of liters of blue paint needed to make the Green Goober's special green paint.
We know that:
y:b = 3:5
Therefore,
5y = 3b, dividing by 5 at both sides we have:
y = 3b/5
And also dividing by 3 at both sides we have:
b = 5y/3
Both equations relate the amounts (in liters) of yellow paint and blue paint needed to make the Green Goober's special green paint.
9 + 3x - 8
can you simplify ?
Answer:
3x+1
Step-by-step explanation:
9+3x-8
9-8+3x
1+3x
What two numbers multiple to get -12 and add to -5
Original question: What two numbers multiply to get -12 and add to -5.
Answer:
Pairs of numbers (1.772, -6.772) and (-6.772, 1.772).
Step-by-step explanation:
Let [tex]x[/tex] and [tex]y[/tex] be the two numbers, the we know that
(1). [tex]xy=-12[/tex]
and
(2). [tex]x+y=-5[/tex]
We solve for [tex]y[/tex] in equation(2) and substitute this into equation(1)
[tex]y=-(5+x)[/tex]
[tex]xy=-x(x+5)=-12[/tex]
[tex]x^2+5x-12=0[/tex]
This is a quadratic equation, and its solutions are
[tex]x=1.772\\\\x=-6.772[/tex]
we substitute these two solutions into equation(1) and find the corresponding [tex]y[/tex] values:
[tex](1.772)y=-12\: \therefore y=-6.772[/tex]
[tex](-6.772)y=-12 \: \therefore y=1.772[/tex]
Thus we have two pairs of numbers which multiply to give -12 and add to give -5
[tex](1.772, -6.772)[/tex] and [tex](-6.772, 1.772).[/tex]
Consider the angle measurements. Which sides are congruent?
A44 B68 C68 and this ia a triangle. Could not apply picture
A) AB ≅ AC
B) AB ≅ BC
C) AC ≅ BC
D) All sides are congruent.
Answer:
Option B) AB ≅ BC
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem Triangle ABC is an isosceles triangle,
because
∠B≅∠C
therefore
The opposite sides to ∠B and ∠C are congruent
AB≅AC
A) AB ≅ AC
The base angles are equal; therefore, the sides opposite the base angles are congruent.
Show that DEFG is a rectangle.
Answer:
opposite sides that are parallel,
opposite angles that are congruent,
opposite sides that are congruent,
consecutive angles that are supplementary, and
diagonals that bisect each other.
Step-by-step explanation:
not sure if this is the kind of answer you're looking for so i'm sorry if this didn't help
Answer:
in the steps
Step-by-step explanation:
D(-2,3) E(4,-1) F(2,-4) G(-4,0)
slope DG: (0-3)/(-4+2) = -3/-2 = 3/2
slope EF: (-4+1)/(2-4) = -3/-2 = 3/2
DG // EF
slope DE: (-1-3)/(4+2) = -4/6 = -2/3
slope GF: (-4-0)/(2+4) = -4/6 = -2/3
DE // GF
slope DG = - 1/slope DE
DG ⊥ DE
The same reason
DG ⊥ GF
DE ⊥ EF
EF ⊥ GF
∴ DEFG is a parallelogram with four 90° interior angles, it's a rectangle
What does equivalent fractions represented mean
Answer:
It'd be easier to explain if you gave an example, but when it asks what equivalent fractions are being represented in the shaded area , it's asking how much is shaded. So if you have a pizza half cheese, and half pepperoni and it's asking what part is pepperoni the answer would be 1/2. I hope you understood this. If you don't send the full question.
Step-by-step explanation:
A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing 5% butterfat, and cream containing 20% butterfat, how many pints of each is needed?
Answer:
800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.
Step-by-step explanation:
Given:
A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.
If the mixture is to be made from milk containing 5% butterfat, and cream
containing 20% butterfat.
Now, to find the pints of each is needed.
Let the pints of 5% butterfat be [tex]x.[/tex]
And the pints of 20% butterfat be [tex]y.[/tex]
So, the total pints of milk:
[tex]x+y=1000[/tex]
[tex]x=1000-y[/tex] ......(1)
As, given:
1,000 pints of milk that contains 8% butterfat.
The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.
According to question:
[tex]5(x)+20(y)=8(1000)[/tex]
[tex]5x+20y=8000[/tex]
Substituting the value of [tex]x[/tex] from equation (1):
[tex]5(1000-y)+20y=8000[/tex]
[tex]5000-5y+20y=8000[/tex]
[tex]5000+15y=8000[/tex]
Subtracting both sides by 5000 we get:
[tex]15y=3000[/tex]
Dividing both sides by 15 we get:
[tex]y=200.[/tex]
The pints of 20% butterfat = 200 pints.
Now, to get the pints of 5% butterfat we put the value of [tex]y[/tex] in equation (1):
[tex]x=1000-y[/tex]
[tex]x=1000-200[/tex]
[tex]x=800.[/tex]
The pints of 5% butterfat = 800 pints.
Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.
In scoop county 16.8% of residents have diabetes. If 12,914 scioto county residents have diabetes, what is the population of the county
The population of the county is 76,869.
Step-by-step explanation:
Given,
Number of people with Diabetes = 12914
Percent of people with Diabetes = 16.8%
Let,
x be the number of people in county.
16.8% of x = 12914
[tex]\frac{16.8}{100}x=12914\\0.168x=12914[/tex]
Dividing both sides by 0.168
[tex]\frac{0.168x}{0.168}=\frac{12914}{0.168}\\x=76869.04[/tex]
Rounding off to nearest whole number
x = 76,869
The population of the county is 76,869.
Keywords: division, percentage
Learn more about percentage at:
brainly.com/question/10081622brainly.com/question/10341324#LearnwithBrainly
Answer:
i got it for the team sooo
1. 10.1
2. 16.5
3. 58.9
4. 41.1
it gave me the right answers this is edg 2020
Determining Relative Frequencies as Percentages
{-8, 0, 5, 11} which elements are greater than 5
Answer:
Therefore elements greater than 5 is only 11.
Step-by-step explanation:
Set:
A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.
Example:
Let A be the set for {-8, 0, 5, 11}
∴ A = {-8, 0, 5, 11}
This is the set ' A 'consists of elements as a number -8, 0, 5, 11.
Therefore elements greater than 5 is only 11. ( 5 will not come as it is mentioned greater than 5 )
-8, 0 are less then 5
$ 6000 invested at an APR of 3.1% for 23 years
Answer:
The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.
Step-by-step explanation:
Investment principal = US$ 6,000
Interest rate = 3.1% compounded annually = 0.031
Time = 23 years
For calculating the future value, we will use the following formula:
Future Value = Investment principal * (1 + r)ⁿ
Replacing with the real values, we have:
FV = 6,000 * (1 + 0.031)²³
FV = 6,000 * (1 + 0.031)²³
FV = 6,000 * 2.018 (Rounding to three decimal places)
FV = US$ 12,108
The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.
Benjamin bought a 5-pound bag of flour for $7.95. What is the unit price per ounce of flour?
Final answer:
The unit price per ounce for a 5-pound bag of flour costing $7.95 is calculated by converting the bag's weight into ounces (80 ounces) and then dividing the total cost by the number of ounces, resulting in a unit price of approximately $0.10 per ounce.
Explanation:
To calculate the unit price per ounce for a 5-pound bag of flour that Benjamin bought for $7.95, we'll need to convert the weight from pounds to ounces and then divide the total cost by the total number of ounces. Firstly, we need to know the equivalence between pounds and ounces:
1 pound = 16 ounces
Benjamin purchased a 5-pound bag, so we perform the following calculation to convert pounds to ounces:
5 pounds × 16 ounces/pound = 80 ounces
Now, since the total cost of the bag is $7.95, we find the unit price by dividing this cost by the total number of ounces:
Unit price = $7.95 ÷ 80 ounces
To get the unit price per ounce, we perform the division:
Unit price per ounce = $0.099375
If necessary, you can round this to the nearest cent, which would be approximately $0.10 per ounce.
Identify the solution and graph of the compound inequality
4 + 2t> -6 AND 3 + 2t <7
Answer:
-5 < t < 2
Step-by-step explanation:
working and graphical illustration shown in picture attached.
To explain, I simplified the two given inequalities by rearrangement and then combined them into one overall inequality.
Answer:
t<-6
t>-2
Step-by-step explanation:
Find the distance between
(-12,1) and (12,-1)
ANSWER: Exact Form: 2[tex]\sqrt{145}[/tex]
Decimal Form: 24.08318915
STEP-BY-STEP EXPLANATION:
(-12,1) (12,-1)
Use the distance formula to determine the distance between the two points.
Distance = [tex]\sqrt{(X2-X1)^{2 }+ (Y2-Y1)^{2} }[/tex]
Substitute the actual values of the points into the distance formula.
[tex]\sqrt{(12-(-12))^{2 }+ ((-1)-1)^{2} }[/tex]
Multiply -1 BY -12
[tex]\sqrt{(12+12)^{2 }+ ((-1)-1)^{2} }[/tex]
Add 12 and 12
[tex]\sqrt{24^{2} +((-1)-1)^{2} }[/tex]
Raise 24 to the power of 2
[tex]\sqrt{576 +((-1)-1)^{2} }[/tex]
[tex]\sqrt{576+4}[/tex]
[tex]\sqrt{580}[/tex]
Rewrite 580 as [tex]2^{2}[/tex]·145
Factor 4 out of 580
[tex]\sqrt{4(145)}[/tex]
Rewrite 4 as [tex]2^{2}[/tex]
[tex]\sqrt{2^{2}(145) }[/tex]
Pull terms out from under the radical.
2[tex]\sqrt{145}[/tex]
The result can be shown in multiple forms.
Exact Form: 2[tex]\sqrt{145}[/tex]
Decimal Form: 24.08318915
The distance between the points will be "24.08 units".
Given points:
[tex](x_1,y_1) = (-12,1)[/tex][tex](x_2,y_2) = (12,-1)[/tex]As we know the formula,
→ [tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
By substituting the values, we get
[tex]= \sqrt{(12-(-12))^2+(-1-1)^2}[/tex]
[tex]= \sqrt{(24)^2+(-2)^2}[/tex]
[tex]= \sqrt{576+4}[/tex]
[tex]= \sqrt{580}[/tex]
[tex]= 24.08 \ units[/tex]
Thus the above answer is correct.
Learn more:
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Evaluate the expression for x = 6
4x + 6
x = 6, you can substitute/plug in 6 for x in the expression since x equals 6
4x + 6 Plug in 6 for x
4(6) + 6
24 + 6
30
Simplify. (8x + 5) + (4x2 - 2x - 6) A. 4x2 + 6x - 1 B. 4x2 + 10x + 1 C. 4x2 + 10x - 11 D. 4x2 + 6x + 11
The right ans is A.hope it will help u.........
An umbrella costs $6. If Iris purchases 2 umbrellas, how much will these umbrellas cost? Solve an equation to find the answer.
Answer: $12
Step-by-step explanation: $6 x 2 = $12
Hope this helps!
Answer:
$12
Step-by-step explanation:
6x=6(2)=12
If it is true that four out of five dentists recommend chewing sugarless gum after meals how many dentists out of 360 would you expect to make this recommendation
Answer:
85
Step-by-step explanation:
Pleas help anyone please
4 movie tickets cost $48. At this rate, what is the cost of 5 movie tickets
Answer:$60
Step-by-step explanation:
48/4 = 12.
5 × 12 =60
a=64πm^2 , find circumference, answer in terms of pi
Answer:
16π
Step-by-step explanation:
Circumference = 2πr. Since the radius, r, is unknown, we can get it from the area.
Area = πr² = 64π ;
Divide both sides by π. We are left with
r² = 64; To find r, take square root of both sides
Therefore, r = √64 = 8m;
Circumference = 2×π×8 = 16πm
The elevation of the basement floor in a building is -14 ft. The elevation of the roof is 36 feet. What is the distance from the basement floor to the roof?
Answer:
50
Step-by-step explanation:
36 + I-14I
36 + 14
= 50
brainly plz
Answer:
50 :)
Step-by-step explanation:
Which represents the domain of the relation {(–1, 4), (2, –3), (0, –2), (1, –3)}? {–3, –2, 4} {–3, –2, –1, 0, 1, 2, 4} {–1, 0, 1, 2} {–3}
Answer: (2, -3) ??
Step-by-step explanation:
The required domain of the given relation {(–1, 4), (2, –3), (0, –2), (1, –3)} is {-1, 2, 0, 1}. Option C is correct.
What is a domain?The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
In a relation, the domain is the set of all the first coordinates (x-values) of the ordered pairs.
The relation given is: {(–1, 4), (2, –3), (0, –2), (1, –3)}
The set of all the first coordinates is {-1, 2, 0, 1}. Therefore, the domain of the given relation is {-1, 2, 0, 1}.
Thus, Option C is correct
Learn more about the domain here:
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Square A has a side length of (2x - 7) and Square B has a side length (-4x + 18). How much bigger is the perimeter of Square B than Square A?
Answer: 100 - 24x
Step-by-step explanation:
The formula for calculating the perimeter of a square is given by :
P = 4l , where l is the length of the side.
Perimeter of square A will be
P = 4 ( 2x - 7 )
P = 8x - 28
Perimeter of square B will be ;
P = 4 ( -4x + 18 )
P = - 16x + 72
Perimeter of square B - Perimeter of square A implies
-16x + 72 - ( 8x - 28 )
-16x + 72 - 8x + 28
collecting the like terms
-16x - 8x + 72 + 28
-24x + 100
⇒ 100 - 24x
A mosaic consists of triangular tiles. The smallest tiles have side lengths 6cm, 10cm, an 12cm. Are these tiles in the shape of right triangle? Explain
Answer:
Is not a right triangle
Step-by-step explanation:
we know that
The length sides of a right triangle must satisfy the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the greater side (the hypotenuse)
a and b are the legs
Verify
we have
[tex]a=6\ cm\\b=10\ cm\\c=12\ cm[/tex]
substitute
[tex]12^2=6^2+10^2[/tex]
[tex]144=36+100[/tex]
[tex]144\neq 136[/tex]
so
The length sides of triangle not satisfy the Pythagorean Theorem
therefore
Is not a right triangle
Steve made 9 3/6 cups of pancake batter on a weekend camping trip. He used 3 4/6 cios of batter for breakfast on Saturday. Write each mixed number as a fraction greater than one.
Answer:
9 3/6 ⇒ 19/2
3 4/6 ⇒ 11/3
Step-by-step explanation:
A fraction greater than one is an improper fraction.
[tex]9\frac{3}{6}[/tex] when converted into an improper fraction is
[tex]9\frac{3}{6} =9+\frac{3}{6} \\\\=\frac{9*6}{6}+ \frac{3}{6}\\\\ =\frac{54}{6}+ \frac{3}{6}=\frac{57}{6}\\\\ =\boxed{\frac{19}{2}. }[/tex]
[tex]3\frac{4}{6}[/tex] when converted to a fraction is
[tex]3\frac{4}{6}=3+\frac{4}{6}\\\\=\frac{3*6}{6}+ \frac{4}{\\\\6}\\\\=\frac{18}{6}+\frac{4}{6}=\frac{22}{6}\\\\=\boxed{\frac{11}{3}. }[/tex]
Thus fractions [tex]9\frac{3}{6}[/tex] and [tex]3\frac{4}{6}[/tex] when converted to fractions greater than one are [tex]\frac{19}{2}[/tex] and [tex]\frac{11}{3}[/tex] respectively.
9 3/6 cups of pancake batter is [tex]\( \frac{19}{2} \)[/tex]and 3 4/6 cups is [tex]\( \frac{11}{3} \)[/tex].
Step 1:
Convert the mixed number 9 3/6 to an improper fraction:
[tex]\[ 9 \frac{3}{6} = \frac{(9 \times 6) + 3}{6} = \frac{54 + 3}{6} = \frac{57}{6} \][/tex]
Step 2:
Simplify the fraction:
[tex]\[ \frac{57}{6} = \frac{19 \times 3}{2 \times 3} = \frac{19}{2} \][/tex]
So, 9 3/6 cups of pancake batter is equivalent to the improper fraction [tex]\( \frac{19}{2} \).[/tex]
Step 3:
Now, convert the mixed number 3 4/6 to an improper fraction:
[tex]\[ 3 \frac{4}{6} = \frac{(3 \times 6) + 4}{6} = \frac{18 + 4}{6} = \frac{22}{6} \][/tex]
Step 4:
Simplify the fraction:
[tex]\[ \frac{22}{6} = \frac{11 \times 2}{3 \times 2} = \frac{11}{3} \][/tex]
So, 3 4/6 cups of pancake batter is equivalent to the improper fraction [tex]\( \frac{11}{3} \).[/tex]
Therefore, each mixed number, when expressed as a fraction greater than one, is [tex]\( \frac{19}{2} \)[/tex] and [tex]\( \frac{11}{3} \)[/tex], respectively.
Ollie earns a fixed amount of $2,700 per month and a commission of 12% on all of his sales for the month. To cover all of his expenses, he needs to earn at least $5,400 each month.
Part A
Write an inequality that will represent the amount of sales Ollie will need in order to cover his monthly expenses.
Part B
Find the solution and describe what the graph would look like on a number line. Show your work.
Answer:
Part A) [tex]0.12x+2,700\geq 5,400[/tex]
Part B) see the explanation
Step-by-step explanation:
Part A) Write an inequality that will represent the amount of sales Ollie will need in order to cover his monthly expenses
Let
x ----> the amount of sales monthly
Remember that
[tex]12\%=12/100=0.12[/tex]
we know that
The fixed amount of $2,700 plus the commission of 12% on all of his sales for the month must be greater than or equal to $5,400
so
The inequality that represent this problem is
[tex]0.12x+2,700\geq 5,400[/tex]
Part B) Find the solution and describe what the graph would look like on a number line
we have
[tex]0.12x+2,700\geq 5,400[/tex]
Solve for x
subtract 2,700 both sides
[tex]0.12x \geq 5,400-2,700\\0.12x \geq 2,700[/tex]
Divide by 0.12 both sides
[tex]x\geq \$22,500[/tex]
The minimum amount of sales needed to cover his monthly expenses is $22,500
In a number line the solution is the shaded area at right of x=22,500 (closed circle)
see the attached figure to better understand the problem
The coaches and umpires in Eagle Rock Little League are all adults. There are four coaches for each team, plus a total of fifteen umpires.
Part A
Write an expression to represent the total number of adults in the Little League, where t is the number of teams.
Part B
If there are nine teams in the league, how many adults are part of the Little League? Show your work.
Answer:
The expression that represents the total number of adults: 4t + 1551 adults are part of the Little League
Explanation:
Part A.
1. Name the variables:
Number of teams: tNumber of adults: A2. Write the function that models the relation between the variables:
There are four coaches for each team: 4t; it s a variable term A total of 15 umpires: 15; it is a constant term A = 4t + 15 (total number of adults)The expression that represents the number of adults is 4t + 15
Part B.
If there are nine teams in the league, you substitute 9 for t in the expression that represents the total number of adults in the Little League (make t = 9) to determine how mnay adults are part of the Little League:
4t + 15 = 4(9) + 15 = 36 + 15 = 51Hence, 51 adults are part of the Little League.
The total number of adults is 51.
Part A: To find an expression for the total number of adults in the Little League, we need to consider both the umpires and the coaches. There are 4 coaches per team and 15 umpires overall.
Thus, the expression for the total number of adults is: 4t + 15
where t represents the number of teams.
Part B: Given there are 9 teams in the league, we can substitute 9 for t in the expression:
Total number of adults = 4(9) + 15
= 36 + 15
= 51
Therefore, there are 51 adults in the Eagle Rock Little League.
Write the linear equation in standard form.
12x = -9y+ 7
Answer:
Step-by-step explanation:
The linear equation in standard form is written in the form :
ax + by = c
Therefore : 12x = -9y + 7 in standard form will be :
12x + 9y = 7
Step-by-step explanation:
the standard form is ax+by=c. So 12x=-9y+7 will be 12x+9y=7
Simplify the expression. 2/3 (–9m + 12) a –6m + 8 b–18m + 8 c–6m + 12 d –6m + 24
Answer:
-6m + 8
Step-by-step explanation:
2/3 (–9m + 12) =
Use the distributive property. Multiply 2/3 by each term inside the parentheses.
= 2/3 * (-9m) + 2/3 * 12
= -18m/3 + 24/3
= -6m + 8
The sum of two numbers is 57. The larger number is 11 more than the smaller number. What are the numbers?
Answer:
I'll tell u later
Step-by-step explanation:
Small number =x
Large number =11 plus x
Now from the question,
[tex]x + 11 + x = 57[/tex]
Therefore 2x plus 11= 57
2x= 57-11=46
X=46÷2=23
To find the two numbers where the sum is 57 and the larger number is 11 more than the smaller number, we set up equations based on the conditions. Solving these equations, we find that the smaller number is 23 and the larger number is 34.
The question involves finding two numbers given certain conditions: the sum of two numbers is 57, and the larger number is 11 more than the smaller number. To solve this, we can set up equations based on the given conditions and solve them step by step.
Let the smaller number be x and the larger number be y. We are given two equations based on the problem statement:
x + y = 57 (The sum of the two numbers is 57.)
y = x + 11 (The larger number is 11 more than the smaller number.)
Substituting the value of y from equation (2) into equation (1), we get:
x + (x + 11) = 57
2x + 11 = 57
2x = 46
x = 23
Now, using the value of x in equation (2) to find y:
y = 23 + 11 = 34
So, the smaller number is 23 and the larger number is 34.
Jennifer cut a length of rope into two pieces. One piece was 2 feet 9 inches long, and the other piece was 3 feet 5 inches long. How long was the rope before it was cut?
A)5 feet 2 inches.
B) 5 feet 4 inches
C)6 feet 2 inches
D)6 feet 4 inches
E)6 feet 6 inches
Answer:
6ft 2ins
Step-by-step explanation:
ins:9+5=14
ft:2+3=5
now you can add another foot because there is 12 ins in 1 foot making the answer 6 feet and 2 inches