Answer:
7y=11x-2y=2
7y-2y=2-12x
5y=9x
y=9x÷5
y=45ans
Step-by-step explanation:
have a nice day!
Liam mixed together quarts of orange juice and quarts of pineapple juice. Then he added quarts of seltzer to make punch. How much more juice than seltzer did Liam use to make punch?
Answer:
[tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
Question has missing details (See attachment).
Given
[tex]Orange\ Juice = 1\frac{1}{4}quart[/tex]
[tex]Pineapple\ Juice = 2\frac{1}{2}quart[/tex]
[tex]Seltzer = 1\frac{1}{2}quart[/tex]
Required
Determine how much juice than seltzer used.
To do this, we first calculate the total amount of juice
[tex]Juice = Orange + Pineapple[/tex]
[tex]Juice = 1\frac{1}{4} + 2\frac{1}{2}[/tex]
[tex]Juice = \frac{5}{4} + \frac{5}{2}[/tex]
Take LCM
[tex]Juice = \frac{5+10}{4}[/tex]
[tex]Juice = \frac{15}{4}[/tex]
Then subtract the amount of seltzer used.
[tex]Juice - Seltzer = \frac{15}{4}-1\frac{1}{2}[/tex]
[tex]Juice - Seltzer = \frac{15}{4}-\frac{3}{2}[/tex]
Take LCM
[tex]Juice - Seltzer = \frac{15 - 6}{4}[/tex]
[tex]Juice - Seltzer = \frac{9}{4}[/tex]
[tex]Juice - Seltzer = 2\frac{1}{4}[/tex]
The amount of juice used more than seltzer is [tex]2\frac{1}{4}[/tex]
Answer: 3 3/4 quarts
Hope this helps
A 6-foot person standing 20 feet from a streetlight casts a 5-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight and the ground from the base of the streetlight to the end of the shadow.
The street light is __ times taller than the person.
Answer:
2 times taller
Step-by-step explanation:
[tex]\frac{6}{10} = \frac{x}{20}[/tex]
120=12x
x = 12ft
x=height of street light
the street light is 12 feet tall so the street light is 12 times taller than the person
Which of these systems of equations has an infinite number of solutions?
Answer: The first one
Step-by-step explanation:
-6c + 11d = 20
-6c + 11d = 20
They're the same equation meaning they'll be on the same line. They would have infinite solutions.
Answer: The first one
Step-by-step explanation:
-6c + 11d = 20
-6c + 11d = 20
The radius of a circle is 8 feet. What is the area of a sector bounded by a 144° arc?
Answer:
[tex] A_{sector} \approx \: 80.38 \: {ft}^{2} [/tex]
Step-by-step explanation:
[tex] A_{sector} = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ A_{sector} = \frac{144 \degree}{360 \degree} \times 3.14 \times {(8)}^{2} \\ \\ A_{sector} = 0.4 \times 3.14 \times {(8)}^{2} \\ \\ A_{sector} = 80.384 \\ \\ A_{sector} \approx \: 80.38 \: {ft}^{2} [/tex]
Points P and Q are equidistant
from à Common point n on a bearing
of 300 degree and 20 degree respectively. Find
the bearing of
Q From P.
The bearing of point Q from point P is 80 degrees.
To find the bearing of point Q from point P, we need to determine the angle between the bearing of point P from the common point N and the bearing of point Q from the common point N.
Given that point P is on a bearing of 300 degrees from the common point N, and point Q is on a bearing of 20 degrees from the common point N, we can find the bearing of Q from P as follows:
Calculate the angle between the bearing of P from N and the bearing of Q from N:
Angle = Bearing of Q from N - Bearing of P from N
Angle = 20 degrees - 300 degrees
Angle = -280 degrees
Adjust the angle to be within the range of 0 to 360 degrees:
Since the angle is negative, we can add 360 degrees to it to bring it within the range of 0 to 360 degrees:
Adjusted Angle = -280 degrees + 360 degrees
Adjusted Angle = 80 degrees
Therefore, the bearing of point Q from point P is 80 degrees.
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What is the area of this circle? Use 3.14 for π
Question 7 options:
530.66 cm squared
81.64 cm squared
2122.64 cm squared
849.56 cm squared
Answer:
530.66 cm squared
Step-by-step Explanation:
Diameter of the circle = 26 cm
Radius of the circle (r) = 26/2 = 13 cm
[tex]A_{circle} = \pi {r}^{2} \\ \\ A_{circle} = 3.14 \times {(13)}^{2} \\ \\ A_{circle} = 3.14 \times 169 \\ \\ A_{circle} =530.66 \: {cm}^{2} [/tex]
Answer:
The area of 530.66 cm squared.
Option (a) 530.66 cm² is the correct answer.
Step-by-step explanation:
Given :
Diameter of circle = 26 cm.To Find :
Radius of circle Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\red{R = \dfrac{D}{2}}}}}}}[/tex]
R = Radius D = Diameter[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]
π = 3.14 r = radiusSolution :
Finding the radius of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Radius = \dfrac{D}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \dfrac{26}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \cancel{\dfrac{26}{2}}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = 13}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 13 \: cm}}}}}[/tex]
Hence, the radius of circle is 13 cm.
[tex]\rule{200}2[/tex]
Now, finding the area of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times {(13)}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times {(13 \times 13)}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 169}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314 \times 169}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{53066}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 530.66}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = 530.66 \: {cm}^{2}}}}}}}[/tex]
Hence, the area of circle is 530.66 cm².
[tex]\rule{300}{1.5}[/tex]
what is 4(d+6c)
please help me
Answer:
23d
Step-by-step explanation:
Answer:
4d +24c
Step-by-step explanation:
Adult tickets cost $9 each and student tickets cost $6 each. A total of 29 tickets were sold worth $210. How many adult tickets were sold?
Answer: 12 adult tickets where sold
Step-by-step explanation:
The fastest roller coaster in the world is located in New Jersey. It travels 27 miles per hour.
Answer: Kingda Ka is a launched roller coaster located at Six Flags Great Adventure in Jackson, New Jersey. Designed by Werner Stengel, Kingda Ka is an Accelerator Coaster model from Intamin that opened as the tallest and fastest roller coaster in the world on May 21, 2005.
Step-by-step explanation:
What is an equation in slope-intercept form of the line that passes through the points (−2, −2) and (1, 7)? A. y=13x−43
Answer:
I Dont Know
Step-by-step explanation:
Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015
Answer:
The value of the house on 1st January 2015 was of $650,000.
Step-by-step explanation:
Decimal multipliers:
For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]
For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]
Rami bought a house on 1st January 2015.
For a value of x.
In 2015 the house increased in value by 15%.
This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]
In 2016 the house decreased in value by 8%.
This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]
On 1st January 2017 the value of the house was $687700.
The value of these multiplications is 687700.
What was the value of the house on 1st January 2015?
This is x, so:
[tex]x*1.15*0.92 = 687700[/tex]
[tex]x = \frac{687700}{1.15*0.92}[/tex]
[tex]x = 650000[/tex]
The value of the house on 1st January 2015 was of $650,000.
what is 41% of 53????
Answer:
21.73
Step-by-step explanation:
calculator
Solve -4x <_-8. Graph the solution.
Answer:
BStep-by-step explanation:
-4x <_ -8
x <_ -8 ÷-4
x <_ 2
MARK ME BRAINLISTPLZ FOLLOW ME4. Solve the equation, please type your steps and your work:
3x – 5 = -3
Answer:
2/3
Step-by-step explanation:
3x-5=-3
3x=-3+5
3x=2
x=2/3
Find the circumference of the circle below. Use 3.14 pi. Round your answer to the nearest tenth.
12.1
12.6
25.1
50.2
PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!
Step-by-step explanation:
radius = 4 inches π = 3.14circumference = 2π × radius = 2 × 3.14 × 4 = 25.1 inches _________________________FOLLOW MEAnswer:25.1
Step-by-step explanation:
let f(x)=x^2 +2 and g(x)=1-3x. find each function value: (fg)(-1)
Answer:
12
Step-by-step explanation:
so basically
(x^2+2)*(1-3x)=-3x^3+x^2-6x+2
now plug in -1
-3(-1)^3+(-1)^2-6(-1)+2=12
hope this helped :)
The correct value of (fg)(-1) is "12". A further solution of the given query is provided below.
Given functions are:
[tex]f(x) = x^2+2[/tex]
[tex]g(x) = 1-3x[/tex]
Now,
⇒ [tex](fg) = (x^2+2)(1-3x)[/tex]
By applying multiplication, we get
[tex]=x^2+2-3x^3-6x[/tex]
[tex]=-3x^3+x^2-6x+2[/tex]...(equation 1)
By substituting the value "-1" in place of "x" in equation 1, we get
⇒ [tex](fg)(-1) = -3(-1)^3+(-1)^2-(6)(-1)+2[/tex]
[tex]=-3(-1)+1+6+2[/tex]
[tex]=3+1+6+2[/tex]
[tex]=12[/tex]
Thus the right answer is (fg)(-1) = 12.
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Complete the table:
6,000
meters
kilometers
8,000
9,000
5
7
Answer:
Remember while answering, 1 kilometer = 1,000 meters
5,000 ⇒ 5
6,000 ⇒ 6
7,000 ⇒ 7
8,000 ⇒ 8
9,000 ⇒ 9
Step-by-step explanation:
1 kilometer is 1,000 meters because "kilo" means 1,000
Knowing this we can make an equation to figure this out
When we know x, or meters, we can do y = x/1,000
When we know y, or kilometers, we can do x = 1,000y
PLZ HELP PLZ HELP
SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONG
Length of student desk
Height of classrom'
Width of classroom door
Height of building
Length of a movie ticket
Answer:
c
Step-by-step explanation:
What is 74x56
Help fast I need it
Me will give brainliest
Thx in advance
Answer:
4144
Step-by-step explanation:
hope this helps
Answer:
the answer is 4,144
Step-by-step explanation:
solve the following problems
Answer:
Explanatoin:
Which statement best describes the graph
Answer:
Something with coordinates lines and negative and positive numbers.
Answer:
A graph is usually consisted with coordinates lines and negative and positive numbers. There must be a y axis and x axis.
Because you have not listed the statements, whatever statement is closest to this is the correct option.
A party rental company has chairs and tables for rent. The total coast to rent 5 chairs and 6 tables is $65. The total coast to rent 3 chairs and 2 tables is $25. What is the coast to rent each chair and each table
Answer:
here this is the answer
106
Use the diagram below to find x and each missing angle.
help me pliss
which one is correct?
Find the value of x
Find tan(B) in the triangle.
Step-by-step explanation:
tan = perpendicular / base
acc. to diagram ,
angle C = 90°
such that
AB is hypotenuse
acc to theta ,
AC is perpendicular and BC is base
therefore
tan theta = AC / BC
tan theta = 8/15
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!
example of perpendicular lines
Answer:
Perpendicular lines are lines that cross perfectly to create a 90 degree angle! Kinda like a big cross. with a right angle in the center area
Step-by-step explanation:
Lisa would like to buy some furniture for the new home. Good Home Furniture offered her the maximum payment credit for the furniture she can buy of $50 a week for one year. The annual interest rate of that commercial loan is 8.5%, assuming compounding weekly. How much furniture can Lisa afford to purchase using the credit offered by the store? (2 marks) g)
Answer:
i don't know the right answer plse
What is the distance between the points (6,2) and (1,-5)
PLEASE ANSWER QUICK
Answer:
[tex]\displaystyle d = \sqrt{74}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 2) → x₁ = 6, y₁ = 2
Point (1, -5) → x₂ = 1, y₂ = -5
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{74}[/tex]