Answer:
x = 3; y = -1
Step-by-step explanation:
2x - 3y = 9
x = 4 + y
Since the second equation is already solved for x, use the substitution method. Substitute 4 + y for x in the first equation and solve for y.
2x - 3y = 9
2(4 + y) - 3y = 9
8 + 2y - 3y = 9
-y = 1
y = -1
Now substitute -1 for y in the second original equation, and solve for x.
x = 4 + y
x = 4 + (-1)
x = 3
Answer: x = 3; y = -1
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!
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°
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.
An engineer looks up at the top of a cell tower. The engineer stands 30 meters from the center of the tower with a line of sight of 37° from the horizontal. The engineer's eyes are 2
meters above the ground.
The value of the tangent of angle 37° is 3/4. Then the height of the cell tower will be 24.5 meters.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
A specialist gazes toward the highest point of a cell tower. The specialist stands 30 meters from the focal point of the pinnacle with a view of 37° from the level. The designer's eyes are 2 meters over the ground.
Let 'h' be the height of the tower. Then we have
tan 37° = (h - 2) / 30
Simplify the equation, then we have
tan 37° = (h - 2) / 30
3/4 = (h - 2) / 30
4h - 8 = 90
4h = 98
h = 24.5 meters
The level of the cell pinnacle will be 24.5 meters.
The diagram is given below.
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The amount of time a certain brand of light bulb lasts is normally distribued with a
mean of 1900 hours and a standard deviation of 45 hours. Out of 670 freshly installed
light bulbs in a new large building, how many would be expected to last more than
1890 hours, to the nearest whole number?
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.
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Please HELP WITH CHEM
The ratio of Oats to Maple syrup for 36 cookies is 192 grams: 816 grams. So the answer is Option C. 192 grams: 816 grams.
What is Ratio:Comparing two amounts of the same units and determining the ratio tells how much of one quantity is in the other.
when evaluating the relationship between two quantities or numbers. In general, x: y, which can be interpreted as "x is to y," is used to denote a ratio between two quantities.
Here we have
15 Cookies need 80g Oats
=> Amount of Oats for 1 cookie = 80g/15 gms
So the amount Oats for 36 Cookies = 80g/5 × 36 = 192 grams
15 Cookies need 340 grams of Maple syrup
=> Amount of Maple syrup for 1 cookie = 340/15 gram
So the amount of Maple syrup for 36 cookies = (340/15)×36 = 816 grams
By the above calculations,
For 36 Cookies we need 192 grams of Oats and 816 grams of Maple syrup
The Ratio of Oats to Maple syrup = 192 gram: 816 gram
Therefore,
The ratio of Oats to Maple syrup for 36 cookies is 192 grams: 816 grams. So the answer is Option C. 192 grams: 816 grams.
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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.
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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
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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%.
4 divided by 3/5 as a fraction form
Answer:33/5
Step-by-step explanation:
Hope this helps <3
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
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.
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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.
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.
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]
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work out the area of this triangle
height=2.5cm
base=4.6cm
Answer:
5.75
Step-by-step explanation:
So first you would multiply 2.5*4.6 which is 11.5
Next you would divide 11.5/2 because a triangle is half of a square.11.5/2 is 5.75
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
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].
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:
Dora says that only one triangle can be constructed with two given side lengths and one given angle measure. Is Dora correct? Explain.
How many solutions does this equation have?
-2-y=-y
no solution
one solution
infinitely many solutions
Answer:
No solution
Step-by-step explanation:
-2-y=-y
clt
-2=-y+y
-2=0
:ans is -2=0 making it with no solution
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
-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).
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The lines 5x + 2y = 14 and y = –5x + 9 are A. parallel b.perpendicular c.neither
Answer:
parallel
Step-by-step explanation:
same slope
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
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.
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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
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