Answer: Our answer set is( -1,-2 )
Step-by-step explanation:
y = x - 1
y = 3x + 1
We can use the combine method here.
==> - 1y + 1x = 1 (y = x - 1)
==> -1y +3x = -1 (y = 3x + 1)
- 1y + 1x = 1
-1y +3x = -1
To single out any of the two variables, we need them to cancel out. Let us choose to cancel out y. We therefore multiply by negative 1 in the first re-arranged equation.
==> -1* (- 1y + 1x )= (1 ) * -1
Now we add the equations
==> 1y -1x = -1
==>-1y +3x = -1
______________
2x = -2
Divide.
==> x = -1
Now we insert x into any of the two original equations;
y = (-1) - 1
==> y = -2
Our answer set is( -1,-2 )
Harper spent at least 40 minutes drawing on Friday. She spent 20 minutes more on Friday than on Monday. How many minutes could harbor have spent drawing on Monday, m?
(Make equation with inequality)
Answer:153000394836295938
Step-by-step explanation:
;)
A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 7 centimeters and a width of 5 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 3:4?
32 cm
24 cm
18 cm
14 cm
Answer:
Step-by-step explanation:
You need to find the perimeter of the door in the scale drawing.
Not the perimeter of the door on the dollhouse.
If the dollhouse door is 7 cm by 5 cm use the scale factor of 3/4 to
find the dimensions on the scale drawing.
7 times 3/4 = 5.25
5 times 3/4 = 3.75
P = 2(length) + 2 (width)
P = 2 (5.25) + 2 (3.75)
P = 10.5 + 7.5
P = 18 cm
Answer choice C
Darrel spent $383 on 21 presents for his grandchildren. Which expression uses compatible numbers to estimate the amount he spent on each?
$18.24
Step-by-step explanation:How do I find out the answer to this?You can find the answer to this by simply dividing the two numbers:
$383 ÷ 21 = $18.24
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
The area of a rectangle is 2x2−11x−63 square units, and the length is 2x+7 units. What is the perimeter, in units, of the rectangle? Responses
Ms. patels gym class is practicing soccer. Ms. pedal has 18 soccer balls and three teams of students. She gives the same number of bars to eat student. How many balls does Ms. patel give each team
Answer
6
Step-by-step explanation:
There are 3 teams and 18 soccer balls. For each team to have the same number of soccer balls you need to do 18 divided by 3 to get 6. Each time will have 6 soccer balls.
Summer Swim charges a $45 membership fee and $3.50 each time you visit their pool. Super Swimmers charges $6.50 each time you visit their pool with no membership fee.
a. For what number of visits will both swim clubs charge the same amount? Justify your answer using mathematics.
visits:____
b. You anticipate that you will visit the pool about 32 times this summer. Which Swim Club should you choose if you want to spend the least amount of money? Justify your answer using mathematics.
(Type Summer Swim or Super Swimmers) :______
Answer:
A) 15
B) Summer Swim
Step-by-step explanation:
How to solve problem "A":
45+3.50x =6.50x
Take 3.50 from each side.
6.50-3.50=3
45=3x
Now you divide 45 divided by 3.
45/3=15
So after 15 visits, you'll be charged the same amount.
6.50 (15)=97.5
3.50 (15)+45= 97.5
So it's definitely correct.
_________________________________________________________
How to solve problem "B":
All we have to do is plug 32 into "x"
Equation 1: 45+3.50(32)= 157
Equation 2: 6.50 (32)=208
So equation 1 definitely is cheaper. So it's the Summer Swim that's cheaper
I hope this helps!!!
Joanna's tree starts at 4 feet tall and
grows 15% each year. What is the tree's
height after 12 years?
The height of the tree after 12 years is 21.401 feet.
How to predict the height of the tree
In this problem we find the case of a tree that grows exponentially, the height of the tree is defined by the following formula:
h = a · (1 + r / 100)ⁿ
Where:
a - Initial height of the tree, in feet.r - Increase rate, in percentage.n - Number of periods, in years.If we know that a = 4 ft, r = 15 and n = 12, then the final height of the tree is:
h = 4 · (1 + 15 / 100)¹²
h = 21.401
To learn more on exponential functions: https://brainly.com/question/11487261
#SPJ1
A cell phone carrier charges a monthly fee of $20 and also charges customers $0.05 per text message. The function C(t)+0.05t+20 represents the cost of C, per month based on t text messages in a month.
Which best describes the domain of the function?
All real numbers
All real numbers that are multiples of 0.05
All whole numbers
All whole numbers for 0 to 20
Answer:500
Step-by-step explanation:
Please help it about calculus
The answer to this question based on limits is -4/3
What is limits?
Limits are very interesting concepts in mathematics which are veryuseful when we are dealing with numbers like infinity or numbers where some functions are not defined
Concepts of limits give us brief understanding that why these things are not defined
Solution;
We are asked to calculate a limit
By limits laws we can apply limit to both numerator and denominator respectively
Numerator = lim x--->2 2x-2
= just put 2 in place of x we will get 4 - 2 = 2 ans
Denominator = 2f(3x) - x
put limit as x = 2 in this we get
2 f(6) - 2
we need values of f(6) we can take from graph that f(6) = -3/2
hence answer to our question is 2 divided by -3/2
which in turn our answer for this limit problen is -4/3
TO learn more about limits:
https://brainly.com/question/12207539
#SPJ1
You sell TV's at a local store and they pay you 4% commission for whatever you sell. At the end of the month you sold $9,000 worth of TV's. How much money in commission did you receive?
Answer:
360 in commission.
Step-by-step explanation:
If you received a 4% commission on the TVs you sold, and you sold $9,000 worth of TVs, then you would have received 4/100 * $9,000 = $<<4/100*9000=360>>360 in commission.
i think of a number,multiply it by 3,add 4 and square the result
The algebraic expression is (3X + 4)²
What is word problem?Word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
From the question
To express the worded problem algebraically using X as your unknown
To express the worded problem algebraically using X as your unknown
The number is X
Now if we multiply the number X by 3 we get 3X
When we add 4 with 3X we get 3X + 4
Finally the squaring the result 3X + 4 we get (3X + 4)²
Hence the required algebraic expression for the worded problem is (3X + 4)²
Learn more about word problem at:https://brainly.com/question/21405634
#SPJ1
You deposit $600 in a savings account. After 18
months, you check your statement and see that
you have earned $31.50 in interest. What is the
interest rate for your account?
Answer:
To calculate the interest rate for your account, you will need to use the formula for simple interest:
Interest = Principal x Rate x Time
In this case, the principal is the amount of money you deposited, or $600. The time is the number of months the money was in the account, or 18 months. And the interest is the amount of money you earned, or $31.50.
Plugging these values into the formula, we get:
$31.50 = $600 x Rate x 18
To solve for the rate, we can divide both sides of the equation by $600 and 18:
Rate = $31.50 / ($600 x 18)
Simplifying this expression gives us:
Rate = 0.01625
So, the interest rate for your account is approximately 1.625%.
Question 6(Multiple Choice Worth 2 points)
(Two-Column Tables MC)
The table below shows the ratios of black to white keys on pianos of various sizes.
Black A 18 45 72
White 13 B 65 C
Determine which table has the correct values for A, B, and C.
The correct values for A, B and C are given as follows:
A = 9.B = 26.C = 104.How to obtain the correct values for A, B and C?The table shows the ratios of black to white keys on pianos of various sizes, and these ratios are constant, meaning that the following proportional relationship is established:
A/13 = 18/B = 45/65 = 72/C
Then the value of A can be obtained as follows:
A/13 = 45/65
Applying cross multiplication, we have that:
65A = 13 x 45
A = 13 x 45/65
A = 9.
The value of B can be obtained as follows:
18/B = 45/65
Applying cross multiplication, we have that:
45B = 18 x 65
B = 18 x 65/45
B = 26.
Finally, the value of C can be obtained as follows:
72/C = 45/65
Applying cross multiplication, we have that:
45C = 72 x 65
C = 72 x 65/45
C = 104.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Find the perimeter of the triangle.
Answer:
39 inches
Step-by-step explanation:
All of the sides are the same length because all of the angles are equal
21 - x = 2x - 3 Set two sides equal to each other and solve for x. Add x to both sides
21 = 3x - 3 Add 3 to both sides
24 = 3x Divide both sides by 3
x = 8
Substitute in 8 for x to find the value of a side
2x - 3
2(8) - 3
16 - 3
13
Each side length is 13
3 x 13 = 39
-6x-4/2
2. Select all the expressions that are equivalent to
2
A.-3x - 2
B. 3x + 2
С. - 6х+4
2
D.-1/-
2 (6x+4)
E. 1/2 (-3x-2)
The expressions that are equivalent to -6x-4/2 are: -6x-4/2 and 1/2 (-3x-2)
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers
According to the given option, the required solution would be as:
A. -3x - 2 (if you multiply both sides of the equation -6x - 4 = 2 by -1/2, you get -3x - 2 = 1)
E. 1/2 (-3x-2) (if you multiply both sides of the equation -6x - 4 = 2 by 1/2, you get -3x - 2 = 1, and then divide both sides by -1 to get 1/2 (-3x-2) = -1/2)
Hence, the correct answer would be options (A) and (E).
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ1
Need help:
given that M∠QRT=105, find M∠QRS and M∠SRT
Answer:
m∠QRS = 30°
m∠SRT = 75°
Step-by-step explanation:
Given;m∠QRT = 105°m∠QRS = (6x)°m∠SRT = (14x + 5)°To Find;m∠QRS and m∠SRTNow,
The sum of m∠QRS and m∠SRT is equal to m∠QRT which is 105°
So,
m∠QRS + m∠SRT = m∠QRT
(6x)° + (14x + 5)° = (105)°
6x + 14x + 5 = 105
20x + 105 - 5
20x = 100
x = 100/20
x = 5
Thus, The value of x is 5°
Now,
m∠QRS = (6x)° = 6 × 5 = 30°
m∠SRT = (14x + 5)° = 14(5) + 5 = 70 + 5 = 75°
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. How many blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4?.
77.8%, blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw
According to our answer-
Probability is defined as the product of the number of successful outcomes over the total number of outcomes.
There are 36 different results for one draw because there are 36 marbles overall in the bag.
All draws that are conceivable but are not blue are considered successful outcomes. 28 of those are available.
Consequently, the probability of a non-blue option is 28/36 = 7/9 = 77.8%. (rounded)
Hence, 77.8%, blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4.
learn more about probability click here:
brainly.com/question/13604758
#SPJ4
A class is planning a trip to the local City Museum of Art. There are 22 people going on this trip.
There are four drivers and two types of vehicles, cars and trucks. The cars set four people,
including the driver and the truck seats six people again including driver. How many trucks and
cars doe the class need for this trip? Write a system of equations to solve.
12/24
A class is planning a trip to the local City Museum of Art. The class needs 3 trucks and 1 car to transport all 22 people on the trip.
What is the system of equations?Generally, To solve this problem, we can set up a system of equations using the information given. Let C be the number of cars needed and T be the number of trucks needed.
The first equation will represent the number of people that can be transported in the cars: 4C + 6T = 22
The second equation will represent the number of drivers: C + T = 4
Now we can solve this system of equations using elimination or substitution.
Using elimination, we can multiply the first equation by 2 and the second equation by 4 to get: 8C + 12T = 44 4C + 4T = 16
Then we can subtract the second equation from the first equation to get: 4C + 8T = 28
Then we can divide both sides by 4 to get: C + 2T = 7
Then we can substitute this value for C in the second equation to get: 7 - 2T = 4 T = 1.5
Since T represents the number of trucks, which must be a whole number, this solution is not possible.
Using substitution, we can solve for C in the second equation and substitute it into the first equation: C = 4 - T 4(4 - T) + 6T = 22 16 - 4T + 6T = 22 2T = 6 T = 3
Substituting this value for T into the second equation, we get: C = 4 - 3 C = 1
Read more about the system of equations
https://brainly.com/question/12895249
#SPJ1
A rectangular room is 2 meters longer than it is wide, and its perimeter is 20 meters. Find the dimension of
the room. Length and width
Answer:
Hope this helps good luck :)
see explanation
Step-by-step explanation:
Find relationship of length(L) and width(w)
Perimeter = L + W + L + W
[tex]20. = (w+2) + w + (w+2) +w 20. = 4w + 4 -4. -4 16 = 4w 16. = 4w 4. 4 4. = w w = 4 L. = w+2 = 4 +2 L = 6[/tex]
Answer width is 4 meters and length is 6 meters.
4 divided by 3/5 as a fraction form
Answer:33/5
Step-by-step explanation:
Hope this helps <3
Two shoppers bought meat at a supermarket deli. The first shopper bought 3 pounds of meat for $9.87. The second shopper bought 4 pounds of a meat that cost $1 more per pound than the meat the first shopper bought. How much did the second shopper pay?
Answer: $17.16 dollars
Step-by-step explanation:
first, you divide 9.87 by three which equals $3.29
then you add 1 which is $4.29
Finally, multiply it by 4 which is $17.16
Answer:$17.16
Step-by-step explanation:
Find the simple interest on a loan of $9,000 at 7.6% interest for 9 months.
Anyone know the answer ??
Only answer if you know, any other answers will be reported !
Answer:
P= RS. 9000
R=7.6%
T= 9 months
Simple Interest (SI}=?
By using formula,
SI= PTR/100
= 9000* 7.6* 9/ 100* 12
= 615600/1200
= 513
Joseph and Raquel are building a scale model of the Alamo Mission for their Texas history project using a scale in which 2 inches represents 30 feet. The enclosed area of the Alamo Mission was 480 feet long and 160 wide.
What should the length of the enclosed area of the scale model be in inches?
Triangle ABC is a right triangle, with right angle B. Side AC has a
length of 13. Side AB has a length of 5. Find the length of side
CB.
The length of side BC is approximately 10.928.
What is the right triangle?
In a right triangle, the side opposite the right angle is called the hypotenuse. In triangle ABC, side AC is the hypotenuse, and sides AB and BC are the other two sides.
To find the length of side BC, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
We can use the given information to write the Pythagorean theorem in the form:
AC^2 = AB^2 + BC^2
Substituting the given lengths, we get:
13² = 5² + BC²
Solving for BC, we get:
BC = √(13² - 5²)
= √(144 - 25)
= √(119)
= approximately 10.928
Therefore, the length of side BC is approximately 10.928.
To learn more about the right triangle visit,
https://brainly.com/question/2217700
#SPJ1
Dora says that only one triangle can be constructed with two given side lengths and one given angle measure. Is Dora correct? Explain.
Urgent help:
please look at the image
will mark brainliest for correct answer
[tex]\sqrt[4]{256x^{6}y^{10} }[/tex]will be 4[tex]x^{3/2} y^{5/2}[/tex]
What is the fourth root?The number that, when multiplied four times by itself, yields the original number is the fourth root of a number. In other words, the square root of the square root of an integer equals the number's fourth root.
eg:
eg: [tex]\sqrt[4]{81}[/tex] = 3
We are asked
x> 0 and y> 0then
[tex]\sqrt[4]{256x^{6}y^{10} }[/tex] = 4 [tex]x^{3/2} y^{5/2}[/tex]
As 4 multiplied by 4 , 4 times given 256 and x to the power 6 and root 4 so that will be x to the power 3/2 and y to the 10 and root 4 will give 5/2
thus
[tex]\sqrt[4]{256x^{6}y^{10} }[/tex] will be equivalent to 4 [tex]x^{3/2} y^{5/2}[/tex]
To know more about fourth root click the link:
brainly.com/question/4137083
#SPJ1
Find the values of x and y.
Answer:
x = 90 , y = 43
Step-by-step explanation:
Since AB and AC are congruent , then Δ ABC is isosceles with base angles congruent , that is
∠ ABD = ∠ ACD = 47°
AD is the perpendicular bisector of BC , so
∠ ADB = x = 90
the sum of the 3 angles in Δ ABD = 180° , then
y = 180° - (90 + 47) = 180 - 137 = 43
BELP PLEASE!!
ZL,ZK, and ZM are perpendicular bisectors of AGHJ. Use the information
to determine if the following lengths are true. Select all that apply.
Note that the figure is not drawn to scale.
A. True. The circumcenter is equidistant from all vertices of the triangle.
B. False. The circumcenter is equidistant from all vertices of the triangle.
C. False. By the definition of a bisector, [tex]MJ=6[/tex], meaning [tex]JG=6+6=12[/tex].
D. True. By the definition of a bisector, [tex]GK=4[/tex], meaning [tex]GH=4+4=8[/tex].
What U.S. territory uses Spanish as an official language?
Puerto Rico
Bermuda
Canada
Hawaii
Answer: Puerto Rico
Step-by-step explanation:
the counterpart to sampling error is nonsampling error, which consists of all errors in a survey including those attributable to the sample plan and sample size. true false
the counterpart to sampling error is nonsampling error, which consists of all errors in a survey including those attributable to the sample plan and sample size is a True statement.
Non sampling error is an error that occurs due to various sources which are not related to sampling. These errors can occur due to improper selection of the sample, incorrect data collection and analysis, or due to errors in data reporting. Sampling error, on the other hand, occurs due to the differences between the sample and the population. It is caused by the randomness of the sample that is used and can be reduced by increasing the sample size. the counterpart to sampling error is nonsampling error, which consists of all errors in a survey including those attributable to the sample plan and sample size is a True statement.
Learn more about error here
https://brainly.com/question/13370015
#SPJ4