[tex]\left\{\begin{array}{ccc}2y+4x=18\\2y-3x=4&\text{add 3x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2y+4x=18&(**)\\2y=3x+4&(*)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\3x+4+4x=18\qquad\text{subtract 4 from both sides}\\7x=14\qquad\text{divide both sides by 7}\\\boxed{x=2}\\\\\text{Put the value of x to the first equation:}\\\\2y+4(2)=18\\2y+8=18\qquad\text{subtract 8 from both sides}\\2y=10\qquad\text{divide both sides by 2}\\\boxed{y=5}\\\\Answer:\ \boxed{x=2\ and\ y=5}[/tex]
the measure of the complement of an angle is 10 more than 3 times the measure of the angle.Find the measure of angle and it's complement.
Answer:
Step-by-step explanation:
What is 250 percent of 50
250 percent of 50 is 125.
Convert the percent to a decimal by dividing by 100:
250% = 250/100
= 2.5.
Multiply this decimal by the number:
2.5 * 50.
Perform the multiplication:
2.5 * 50 = 125.
Thus, 250% of 50 is 125.
Which equation represents this situation? Five less than a number is equal to three times the sum of the number and two? Question 2 options: 5 - x = 3x + 2 x - 5 = 2x + 3 x - 5 = 3(x + 2) 5 - x = 3(2x)
Answer:
C) X - 5 = 3 (X + 2)
Step-by-step explanation:
X - 5 = 3 (X + 2)
- Write It Out -
5 Less Than A Number:
X is the anonymous number
X - 5
This is equal to three times the sum of the number and two:
Sum = addition
Sum of a number and two
X + 2
Three times this:
3 (X + 2)
X - 5 is the same as this:
X - 5 = 3 (X + 2)
- I.A. -
All these answers I need help
The amount still owed on a loan is called what ?
Final answer:
The amount still owed on a loan is called the principal, which is the original amount borrowed minus any repayments made toward it. Interest is charged on this amount, and loans are assets to banks which can be sold in the secondary loan market.
Explanation:
The amount still owed on a loan is referred to as the principal. When you make a payment on a loan, such as a credit card or a mortgage, part of it covers the principal, which is the original amount borrowed, and the rest goes toward paying off interest. Interest is the charge for borrowing the money and is calculated based on the remaining balance of the loan. When a borrower takes out a mortgage loan, for instance, they will repay both the principal and interest over the term of the loan, which often spans many years, such as in a 30-year mortgage.
Banks consider loans as assets because they are legally binding agreements where the borrower must make payments over time. In the banking industry, the value of a loan can also be determined by what another party is willing to pay for it in the secondary loan market, where loans are bought and sold between financial institutions after being originated in the primary loan market.
An example of this can be seen when a borrower owes more on their mortgage than the actual market value of the property, resulting in negative equity. However, as the loan is paid down, the equity typically increases, which is the value of the property minus the remaining loan balance.
Find the solution of this system of equations -2x-4y=42 2x-8y=18
Answer:
(-11, -5)
Step-by-step explanation:
Use elimination
-2x-4y = 42
2x-8y = 18
-12y = 60
y = -5
Plug it back in
2x-8(-5) = 18
2x+40 = 18
2x = -22
x = -11
(-11, -5)
Answer:
(-11, -5)
Step-by-step explanation:
It's right
Find the circumcenter of triangle ABC with vertices A(-2,4),B(-2,-2),and C(4,-2)
The circumcenter of the triangle ABC with vertices A(-2,4), B(-2,-2), C(4,-2) is found by locating the intersection of the perpendicular bisectors of the sides. It is calculated to be the point (1,1).
Explanation:The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is equidistant from all three vertices of the triangle. To find the circumcenter of triangle ABC with vertices A(-2,4), B(-2,-2), and C(4,-2), we first find the midpoints of the sides and then the equations of the perpendicular bisectors.
The midpoint of AB is (-2, 1) and the midpoint of BC is (1, -2). The slope of AB is undefined and that of BC is 0. Hence, the slopes of the perpendicular bisectors are 0 and undefined respectively. The equation of the line passing through (-2,1) with slope 0 is y = 1. The equation of the line passing through (1,-2) with undefined slope is x = 1. The intersection of these two lines (circumcenter) is (1,1).
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if r=7 what is the circumference?
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
We have r = 7. Substitute:
[tex]C=2\pi(7)=\boxed{14\pi}[/tex]
7- 6u = 5u + 29
9m = 4m - 35
Plz help ASAP(giving brainliest)
Answer:
u=-2, m=-7
Step-by-step explanation:
7-6u=5u+29
7-11u=29
-11u=22
u=-2
9m=4m-35
5m=-35
m=-7
Answer:
u=-2 and m= -7
Step-by-step explanation:
how do you find the volume of a cone step by step awser
Answer:
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Step-by-step explanation:
Your r^2 times pi is the area of the base, h is the height, and 1/3 is 1/3 of a cylinder.
Answer:
Step-by-step explanation:
V=πr2h
_________
3
help how do I solve for 2^3x+1=9?
Answer:
No solution
Step-by-step explanation:
A new car has factory installed tires that are P205/60R16. The owner wants to a little bigger and opts for the set of P215/75R15. How fast is the car actually going if the speedometer is at 80?
Answer:
The car is actually moving at a speed more than 80 miles per hour
Step-by-step explanation:
Theoretically, since the speedometer of the car is at 80, it means the car is having a speed of 80 miles / hr. The car should move by a distance of 80 miles in an hour.
But, practically changing the tire size can affect the speedometer accuracy because larger tire covers more ground in each complete revolution. So, the actual speed is higher than the speedometer reads.
Example
Suppose a car comes with factory-installed tires which are 21.8 inches in diameter. It means that the circumference of each tire is 68.5 inches. Now if we replace the old tires with new tires having 24.6 inches as diameter then each new tire has a circumference of 77.3 inches. This means the car travels almost 10 inches more with each complete revolution. This can tremendously affect the reading on the speedometer. The speedometer will now indicate a speed which is too slow by almost 13%. When the speedometer reads 60 miles/hour, the car will actually be traveling at a speed of 67.7 miles/hour.
The Gonzalez family has three children.on summer break they went to an amusement park.they bought 3 child tickets for $18.50 and 2 adult tickets.If they spent a total of $104.50, how much was the price of each adult ticket?
Answer:
43
Step-by-step explanation:
104.50 - 18.50 basically then you get 86 then divided by 2 and get 43
Cindy bought 5 dresses for $20 each and 3 pairs of shoes for $20 each. She used this expression to calculate the total amount she spent.
(5 × 20) + (3 × 20)
What is another expression to calculate the total amount spent?
A) (5 + 3) × 20
B) 5 × (20 + 3)
Eliminate
C) 5 × 20 × 3
D) (5 + 20) × (3 + 20)
The A) (5 + 3) × 20 is another expression to calculate the total amount spent
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Cindy bought 5 dresses for $20 each and 3 pairs of shoes for $20 each. She used this expression to calculate the total amount she spent.
(5 × 20) + (3 × 20)
Multiply in the parentheses first
100 + 60
Now Add
= $160 total
Thus She spent $160 total
The A) (5 + 3) × 20 is another expression to calculate the total amount spent.
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The area of the rectangular slab of foam insulation is 30 square meters. Find the dimensions of the slab.
m (smaller value)
m (larger value)
The dimensions of the slab are:
Length = 3 meters
Width = 10 meters
To find the dimensions of the rectangular slab, we'll use the given area and the expressions for length and width.
Given:
Area = 30 square meters
Length = w
Width = 2w + 4
We can use the formula for the area of a rectangle to solve for w:
Area = Length × Width
Substituting the given values:
30 = w × (2w + 4)
Expanding the equation:
30 = 2w² + 4w
Rearranging the equation in standard quadratic form:
2w² + 4w - 30 = 0
Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:
w = (-b ± √(b² - 4ac)) / (2a)
In this case, a = 2, b = 4, and c = -30. Substituting these values into the formula:
w = (-4 ± √(4² - 4(2)(-30))) / (2(2))
w = (-4 ± √(16 + 240)) / 4
w = (-4 ± √256) / 4
w = (-4 ± 16) / 4
We have two possible solutions for w:
w = (-4 + 16) / 4 = 12 / 4 = 3
w = (-4 - 16) / 4 = -20 / 4 = -5
Since the width of the slab cannot be negative, we discard the second solution (w = -5).
Therefore, the width of the slab (w) is 3 meters.
Now, we can find the length using the given expression:
Length = w = 3 meters
Therefore, the dimensions of the slab are:
Length = 3 meters
Width = 2w + 4 = 2(3) + 4 = 6 + 4 = 10 meters
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what's the answer to this
4 (w+1)-4w
I nee help!
Question
what's the answer to this
4 (w+1)-4w
Answer:
4Step-by-step explanation:
4 (w+1)-4w =
4w + 4 - 4w =
4
Approximate: log 1/2 5
Answer:
-2.32193...
Step-by-step explanation:
log.5 (5)
Answer:
[tex]\log_{\frac{1}{2}} 5=-2.32193[/tex]
Step-by-step explanation:
Given : Expression [tex]\log_{\frac{1}{2}} 5[/tex]
To find : The solution of the given expression ?
Solution :
We have given expression [tex]\log_{\frac{1}{2}} 5[/tex]
Applying logarithmic property,
[tex]\log_b a=\frac{\log_e a}{\log_e b}=\frac{\ln a}{\ln b}[/tex]
Where, [tex]\log _e[/tex] is the natural logarithm indicated as [tex]\ln[/tex]
[tex]\log_{\frac{1}{2}} 5=\frac{\ln (5)}{\ln {\frac{1}{2}}}[/tex]
[tex]\frac{\ln (5)}{\ln {\frac{1}{2}}}=\frac{1.60943}{ -0.69315}[/tex]
[tex]\frac{\ln (5)}{\ln {\frac{1}{2}}}=-2.32193[/tex]
Therefore, [tex]\log_{\frac{1}{2}} 5=-2.32193[/tex]
NEED HELP!!!!!!!!!!!
Complete the inequality statement with the symbol that makes it true. 13.4 _____ 13.40 < > =
NEED HELP!!!!!!
The statement will be 13.4 = 13.40
What are inequalities?Inequality is a statement of an order relationship which are greater than(>), greater than or equal to(≥), less than(<), or less than or equal to(≤) between two numbers or algebraic expressions.
If there is an equal to (=) sign, then it is called an equation.How to complete the statement?We know that a zero after decimal will not make any change in the value.So, 13.4 is always equal to 13.4013.4 = 13.40
The sign will be ( = )
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In March, Delphine's house had 40\%40% more snowfall than in February. Delphine's house had ff centimeters of snowfall in February. Which of the following expressions could represent how much snowfall Delphine had at her house in March?
Answer: 1.4f and 4/10f+f
Step-by-step explanation:
Answer:
Snow in March = 1.4f cm
Step-by-step explanation:
Given that
Snowfall in February in Delphine's house = f cm
Now, it is given that In march Delphine's house had 40% more snowfall than Febraury. So, this can be written in equation form as follows :
Snow in March = Snow in Febraury + 40% of Snow in Febraury
Snow in March = f + 40 % of f
Snow in March = f + 0.4f
Snow in March = 1.4f cm
1.4f cm
Pamela's age is two times jiri's age. the sum of their ages is 51. what is jiris age?
Jiri is seventeen years old.
Answer:
J=Jiris
P=2J
P+J-51
Use substitution to solve
2J + J = 51
3J = 51
J=17
Plug 17 into one of the equations
J=17, P + J = 51
P + 17 = 51
P= 34
So Pamela is 34 and Jiris is 17
How do you divide decimals
If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
Divide as usual. ...
Put decimal point directly above decimal point in the dividend.
Check your answer.
Answer:
Here’s one way to do it.
Step-by-step explanation:
Example: Divide 0.539 by 0.11
0.11)0.539
Step 1. Move the decimal points so the divisor is a whole number.
Move them two spaces to the right in both divisor and dividend.
11)53.9
Step 2. Do the long division as usual.
The only difference is that you put the decimal point in the quotient directly above the one in the dividend.
4.9
11)53.9
44
99
99
0
0.539 ÷ 0.11 = 4.9
janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=s2, where s is the length of one side of the square. ud s=3 feet what is the area of the tabletop?
Answer:
The answer is 9 square feet.
The area of the square tabletop is calculated using the formula A=s². Given that the length of one side is 3 feet, we substitute this into the formula to get A = 3², which equals to 9 square feet.
Explanation:Janice is trying to calculate the area of a square tabletop using the formula A=s², where A represents the area and s stands for the length of one side. Since the length of one side of the square (s) is given as 3 feet, we can substitute this value into the formula, resulting in A = 3².
Squaring 3 (i.e., multiplying 3 by itself) gives us 9, so the calculated area of the square tabletop is 9 square feet.
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herbs bakery has an electric bill for april of $112.59. the gas bill for the same month was $215.35. what was the bakery’s total energy bill for the month
Answer: $112.59 + $215.35 = $327.94
Hope this Helps ^^ And Brainliest is always helpful :)
Answer:
The total cost is $327.94
Step-by-step explanation:
215.35 + 112.59 = 327.94
What is the area in square inches 3/8 inch 2/3 inch
Answer:
0.25 in²
Step-by-step explanation:
This is all basic stuff of conversion and multiplication
Option D, The area of the rectangle is 6/24 square inches.
The area of a rectangle is calculated by multiplying its length and width. Given a rectangle with a length of 3/8 inch and a width of 2/3 inch, we can find the area using the formula:
Area = Length × Width
Substitute the given values:
Area = (3/8) × (2/3)
To multiply these fractions, multiply their numerators and their denominators:
Area = (3 × 2) / (8 × 3) = 6 / 24
After simplifying the fraction 6/24, we get 1/4.
Therefore, the area of the rectangle is 1/4 square inches. Among the answer choices, Option D (6/24) is equivalent to 1/4, so the correct answer is Option D.
Complete Question :
What is the area, in square inches, of the rectangle below?
3/8 inch
2/3 inch
Answer choices:
A square 16/9inches
B 25/24 square inches
C 5/11 square inches
D 6/24 square inches
Alex determines that there are 5 chocolate candies per cubic inch. If there are 150 chocolate candies in a jar, what is the volume of the jar?
A) 30 in3
B) 75 in3
C) 500 in3
D) 750 in3
Answer:
30 Cubic Inches would be your answer.
Step-by-step explanation:
A video streaming service offers unlimited movies for $15 per month or $1.99 per movie. Graph an inequality that represents when the unlimited offer is better.
Answer:
15> 1.99, Good Luck!
Step-by-step explanation:
$15 per month is better because you can rent more than 15 movies!
Go to this link you can create a graph https://nces.ed.gov/nceskids/createagraph/
The inequality that represents when the unlimited offer is better is attached
Graphing an inequality that represents when the unlimited offer is better.From the question, we have the following parameters that can be used in our computation:
Unlimited movies for $15 per month$1.99 per movieSo, we have
y = 15x
y = 1.99x
As an inequality, we have
y > 15x
y > 1.99x
Next, we plot the graph of the system of the inequalities
From the graph, we have solution to the system to be the shaded region
This means that all coordinates in the shaded region are the solutions to the system
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The high school courtesy club bought red and black ink pens for Teacher Appreciation Day. The club bought 75 pens in all. Each black pen cost $1.75, and each red pen cost $2.00. The club spent $137 altogether for the pens. How many black pens did the club buy?
13
23
48
52
Answer:
52
Step-by-step explanation:
By solving the system of equations derived from the problem, we get that the club bought 23 black pens.
Explanation:Let's denote the number of black pens as 'b' and the number of red pens as 'r'. According to the problem, we have two equations: b + r = 75 (there were 75 pens in total) and [tex]1.75b + 2r = 137[/tex] (the total cost of the pens was $137).
Now, we can solve this system of equations. From the first equation, we can express 'r' as r = 75 - b. Substitute this into the second equation: [tex]1.75b + 2(75-b) = 137.[/tex], simplifying this gives b = 23. So, the club bought 23 black pens.
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Sally needs 6 gallons of water, but she only has a 2 quart pitcher. How many times does she need to fill it up to make 6 gallons? A) 3 times B) 8 times C) 12 times D) 24 times E) 36 times
Answer: E
Step-by-step explanation: 1 gallon is equal to 4 quarts. If Sally needs to fill and refill a 2 quart pitcher with 6 gallons of water, multiply 6 by 4 to get 24.
3.a volunteer has 12 pounds of birdseed to put in bird feeders in all of the city parks. there are 3 ¼ Cups of birdseed in pounds, and each bird feeder holds about ¾ cups of birdseed.how many birds feeders can the volunteer fills completely?
Answer:
4 Bird Feeders
Step-by-step explanation:
3 1/4 ALSO is 13/4
13/4 dived by 3/4 or 13/3 witch is 4 and some extra so it can only fill four feeders fully
Answer:
52 bird feeders
Step-by-step explanation:
First, you must determine how much birdseed the volunteer has in cups. To do this, multiply the 12 pounds by the 3 1/4 cups, as there are 3 1/4 cups in one pound. This means the volunteer has 39 cups of birdseed.
Then you must divide the amount of birdseed the volunteer has (39 cups) by the amount of birdseed needed to fill a bird feeder (3/4 cups), which will give you the amount of bird feeders the volunteer can fill (52 bird feeders).
Find missing part
Answer started below x=
Answer:
[tex]x=7.5[/tex]
Step-by-step explanation:
If you look at the large triangle, you will see that the side [tex]x[/tex] is opposite of 30° angle and the side 15 is opposite of 90° angle (side opposite of 90° angle is called the hypotenuse).
We have the angle, we have the side opposite and the hypotenuse. Which trigonometric ratio relates opposite side and hypotenuse? SINE!
So we use the sin ratio and cross multiply and solve for [tex]x[/tex]:
[tex]Sin(A)=\frac{Opposite}{Hypotenuse}\\Sin(30)=\frac{x}{15}\\x=15*Sin(30)\\x=15*(0.5)\\x=7.5[/tex]
Hence, [tex]x=7.5[/tex]
Answer:
a=3.75 un., b=11.25 un.
[tex]x=7.5\ un.[/tex]
[tex]y=\dfrac{15\sqrt{3}}{4}\ un.[/tex]
[tex]z=\dfrac{15\sqrt{3}}{2}\ un.[/tex]
Step-by-step explanation:
Given triangle is special 30°-60°-90° right triangle. The leg that is opposite to the angle of measure 30° is always equal to half of the hypotenuse. The hypotenuse is of length 15 units, the leg that is opposite to the 30° angle is leg with length of x units, then
[tex]x=\dfrac{15}{2}=7.5\ un.[/tex]
In right triangle with hypotenuse x and legs y and a, angle opposite to the leg a is 30°, then
[tex]a=\dfrac{x}{2}=\dfrac{7.5}{2}=3.75\ un.[/tex]
and
[tex]b=15-a=15-3.75=11.25\ un.[/tex]
By the Pythagorean theorem,
[tex]x^2=y^2+a^2,\\ \\7.5^2=3.75^2+y^2,\\ \\y^2=\left(\dfrac{15}{2}\right)^2-\left(\dfrac{15}{4}\right)^2=\dfrac{225}{4}-\dfrac{225}{16}=\dfrac{675}{16},\\ \\y=\dfrac{15\sqrt{3}}{4}\ un.[/tex]
In right triangle with legs y and b and hypotenuse z, leg y is opposite to 30° angle, then
[tex]z=2y=\dfrac{15\sqrt{3}}{2}\ un.[/tex]