The value of x is 20
What is a parallelogram?A parallelogram is a quadrilateral with equal opposite sides
Since the opposite sides of a parallelogram are equal, then the following equation is true
[tex]6x - 57 = 3x + 3[/tex]
Divide through by 3
[tex]2x - 19 = x + 1[/tex]
Collect like terms, in the above equation
[tex]2x - x = 19 +1[/tex]
Evaluate the like terms
[tex]x = 20[/tex]
Hence, the value of x is 20
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Raul received a score of 80 on a history test for which the class mean was 70 with standard deviation 10. He received a score of 75 on a biology test for which the class mean was 70 with standard deviation 2.5. On which test did he do better relative to the rest of the class?
Answer:
Raul performed better in the biology test
Step-by-step explanation:
Given
History
[tex]Score = 80[/tex]
[tex]Mean = 70[/tex]
[tex]Standard\ Deviation = 10[/tex]
Biology
[tex]Score = 75[/tex]
[tex]Mean = 70[/tex]
[tex]Standard\ Deviation = 2.5[/tex]
Required
Where did he perform better relative to other students
To do this, we simply calculate the z score in both tests and make comparison.
z score is calculated as thus;
[tex]z = \frac{x - Mean}{SD}[/tex]
For history;
[tex]z = \frac{80 - 70}{10}[/tex]
[tex]z = \frac{10}{10}[/tex]
[tex]z = 1[/tex]
For biology;
[tex]z = \frac{75 - 70}{2.5}[/tex]
[tex]z = \frac{5}{2.5}[/tex]
[tex]z = 2[/tex]
Since the z score in the biology test is greater than that of the history test, then he performed better in the biology test
a women bought some large frames for $18 each and some small frames for $7 each at a close out sale. If she bought 14 frames for $153, find how many of each type she bought.
The number of large frame bought by women are 5 and small frames are 9.
What is defined as the linear equation in two variables?Linear equations in two variables are equations with one, even no, or infinitely many solutions in which each of a two variables has the highest exponent order of 1. A two-variable linear equation has the standard form ax + by + c = 0, where x and y are the variables.Let 'x' be the number of large frames.
Let 'y' be the number of small frames.
The concepts used is;
money + money = money and
number of small frames + number of large frames = total number of frames.
Cost of each small frame is $7.
The cost of each large frame is $18.
Total cost is $153.
The system of equations are formed as;
$18y + $7x = $153 ........equation 1.
x + y = 14
y = 14 - x .....Put this in equation 1.
$18y + $7x = $153
18(14 - x) + 7x = $153
252 - 18x + 7x = 153
11x = 99
x = 9
y = 14 - 9 = 5
Thus, the number of large frame bought by women are 5 and small frames are 9.
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Amanda found a job that pays $450 per week. She must pay a fee to the employment agency of 15% of her first three week’s pay. How much does she need to pay the employment agency?
Answer:
192.5
Step-by-step explanation:
amount of money for one week = 450
amount of money for 3 weeks = 1350
15 percent of 1350 = 1350 x 15
= 19250
divide 19250 by 100
answer is 192.5
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HELPP!!
Write a system of equations modeling the given conditions. Then solve the system by the substitution method and find the two numbers.
The difference between two numbers is 3. The sum of the larger number and twice the smaller number is 21. Find the numbers.
System of equations:
x - y = 3
x + 2y = 21
solving using substitution:
1. isolate one of the variables in one of the equations
x - y = 3
x = 3 + y
2. substitute 3 + y into the other equation
3 + y + 2y = 21
3. simplify
3 + 3y = 21
3y = 18
y = 6
4. substitute 6 back into one of the equations and solve for x
x - 6 = 3
x = 9
17 Billie deposited three paychecks, one was $435.20 , one was $ 510.20 and the third one was $ 345.12 plus $142 cash into her checking account Her original balance was $ 225.30. Assuming all the checks clear, how much will be in his checking account after the deposits are made?
Answer:
$1,657.82
Step-by-step explanation:
435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance
1,657.82
Which number has a six that is ten times the value of the six in 1.67?
A. 1.96
B. 6.07
C. 5.36
D. 9.62
Answer:
B. 6.07
HAS A SIX THAT IS TEN TIMES THE VALUE OF THE SIX IN 1.67
You buy tomatoes in 25- pound cases. One batch of cobb salad requires 6 ounces of tomatoes. How many portions can be made with one shipment. Round diwn don't include partial portions
Which equation matches the function shown below?
Answer:
Step-by-step explanation:
Pick the two easiest points to deal with.
(0,4) and (2,0)
Find m
m = (y2 - y1)/(x2 - x1)
y2 = 4
y1 = 0
x2 =0
x1 = -2
m = (4 - 0)/(0 - - 2)
m = 4/2 = 2
Now use one of the points to find b
y = mx + b Use (0,4)
4 = 2*0 + b
b = 4
The equation you want is y = 2x + 4
Find the complement of the set given that U = {x | x is in I and −3 ≤ x ≤ 9}.
{x | x is in I and −2 ≤ x < 5}
Answer:
Step-by-step explanation:
hello :
the complement of the set given that U = {x | x is in I and −3 ≤ x ≤ 9}is :
F = {x | x is in I and x <-3 or 9 < x}
same method for :{x | x is in I and −2 ≤ x < 5}
H={x | x is in I and x <-2 or 5 ≤ x}
NEED HELPPP!!!! 20 POINTS WILL BE GIVEN..
Answer:
B.
Step-by-step explanation:
The top of a rectangular table has an area of 21 square feet. The width of the table is 3 1/2 feet. What is the length of the table
As per given data area of the top of the rectangular table 21 square feet ,
width [tex]3\frac{1}{2}[/tex] feet the length of the table is equal to 6 feet.
As given,
Area of the top of the rectangular table = 21square feet
Width of the table = [tex]3\frac{1}{2}[/tex] feet
Let 'l' be the length of the rectangular table
Area = length × width
⇒ 21 =(7/2) × l
⇒l =(21 ×2)/7
⇒l=6feet
Therefore, as per given data area of the top of the rectangular table 21 square feet , width [tex]3\frac{1}{2}[/tex] feet the length of the table is equal to 6 feet.
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Right triangle PQR is shown on the graph below. If the point (x, 7) lies on the line that goes through side of the trianglethen what should be the value of x?
A. -2
B. 5
C. -3
D. 3
Answer:
C. -3
Step-by-step explanation:
First, find the slope of side QR. Calculate the slope by finding the ratio of the difference between the y-coordinates and the difference between the x-coordinates of points Q and R.
The slope of side QR can be found as shown below.
Now, using the slope of side QR, draw a triangle RST similar to the right triangle PQR with S(x, 7) as one vertex.
Next, find the value of x as shown below.
Therefore, the value of x in the point (x, 7) is -3.
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. y=4x and 3x+2y=55 * what solution is it
Answer:
svkjhpwheqigjufhwqieweho87qrf
Step-by-step explanation:
Adrian was using a recipe for a large pie that required one-fourth of a tablespoon of sugar . Instead of making one large pie , Adrian decided to use the recipe to make 2 small pies . How much sugar should he use each of the 2 small pies ?
A. 1/3 of a tablespoon
B. 1/4 of a tablespoon
C. 1/8 of a tablespoon
D. 1/2 of a tablespoon
Answer:
probably B.
Step-by-step explanation:
if he just halves the recipe, then it would still be 1/4 tablespoon because he is making 2 pies.
Which function is graphed?
Answer:
Option A
Step-by-step explanation:
The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.
We can therefore eliminate C and D.
Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger. Therefore, A is the more preferred answer because the domain x<1 is valid.
HELP ASAP PLEASE :))))
The graph below shows the height, in feet, over time,
in seconds, of a student's rocket. Use the graph to
answer the questions below. What was the maximum
height the rocket reached?
Answer:
65 ft
Step-by-step explanation:
in 7 second the rocket went 65 ft
16 × 2 1/2=? tell me you will get brainiest
Answer:
40.
Step-by-step explanation:
16 × 2 1/2= X
= 40.
ok pls help this needs to be answered fast
what is an example of equasions when you are given the constant of poportionality
Answer:
the oeange will be there for u
Step-by-step explanation:
1 then 4 then 3 then 6 then 2
ΔABC and ΔJLK have two sets of congruent angles. Are these triangles congruent or not? How do you know?
Answer:
I think that yes they are, but I maybe wrong.
Step-by-step explanation:
I believe that this is true because of the Angle-Angle congruence theorem.
Kevin ran 5 miles in 42 minutes. How many miles per hour did Kevin run? Round to the nearest tenth.
he ran a mile in 8.4 minutes. Step-by-step explanation:
which one represents a function????
Answer:
A is the correct answer
Can you please explain this?
Answer:
? = -2
Step-by-step explanation:
a + b = -2
so, now we need to find all (a + b) combinations in the large expression.
for example, we know
a = -2 - b
or b = -2 - a
and then
-b = 2 + a
but also
3b = -6 - 3a
so that
a - b = a + 2 + a = 2a + 2
therefore
(a + b)(a - b) = a² - b² = -2(2a + 2) = -4a - 4
(-4a - 4 - 12b - 36)/(-4a - 4 - 6a - 6b) =
(-4(a + 3b) - 40)/(-4a - 4 - 6(a + b)) =
(-4(a - 6 - 3a) - 40)/(-4a - 4 - 6×-2) =
(-4(-2a - 6) - 40)/(-4a + 8) =
(8a + 24 - 40)/(-4a + 8) = (8a - 16)/(-4a + 8) =
-2×(-4a + 8)/(-4a + 8) = -2
Help me out on this question please
Answer:
[tex]your \: answer \: is \: option \: a[/tex]
I am sure about this answer.
Step-by-step explanation:
2/3 and 5/12
hope it helps..
pls mark as brainliest
rational number or an irrational number.
-√64
15 pi
46.86 repeated
15/19
-2√6
Need help!
Answer:
-√64: rational
15 pi: irrational
46.86 repeated: rational
15/19: rational
-2√6: irrational
Step-by-step explanation:
From the picture that I used, I was able to find out which ones were rational and irrational.
-√64: rational because it equals to -8
15 pi: has "pi" in it
46.86 repeated: as long as it's repeated, it's rational
15/19: fractions are usually rational
-2√6: √6 is cannot be rationalized
Triangle ABC ~ Triangle DEF. Find the length of median FQ. Show how to solve. 25 points
The length of the median FQ in image of the two similar triangles is: 36.
How to Find the Median of Similar Triangles?The corresponding segments and median of similar triangles are proportional, therefore, we will have the following:
PC/FQ = PB/QE
Substitute
27/FQ = 18/24
FQ = (24 × 27)/18
FQ = 36.
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For one shipment, trucks are loaded first and cars are loaded afterwards. (Even though trucks are bulkier than cars, a shipment can consist of all trucks as long as it is within the weight limit.)
Find the number of cars that can be shipped if the cargo already has:
A. 480 trucks
B. 1500 trucks
C. 2736 trucks
D. T trucks (solve for t)
I need this as soon as possible please-
Answer: I think the answer is A.
Sorry if I'm wrong.
Joy got a gift card for $10.25. Evelynne got a gift card that was 3 times the amount of Joy. Kaitlyn got a gift card for $1.50 more than Evelynne. How much was Kaitlyn’s gift card?
Find the value of x.
Answer:
54
Step-by-step explanation:
how do you write 2x simplified?
Answer:
Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.
Step-by-step explanation:
A ball is drawn randomly from a jar that contains 7 red balls, 5 white balls, and 4 yellow ball. Find the probability of the given event.
Missing Part:
a. A red ball is drawn
b. A white ball is drawn
Answer:
a. [tex]P(Red) = 0.4375[/tex]
b. [tex]P(White) = 0.3125[/tex]
Step-by-step explanation:
Given
[tex]Red = 7[/tex]
[tex]White = 5[/tex]
[tex]Yellow = 4[/tex]
First, we need to calculate the total
[tex]Total = Red + White + Yellow[/tex]
[tex]Total = 7+5+4[/tex]
[tex]Total = 16[/tex]
Solving (a): Probability of Red.
This is calculated by dividing number of red balls by the total
So:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{7}{16}[/tex]
[tex]P(Red) = 0.4375[/tex]
Solving (a): Probability of White.
This is calculated by dividing number of white balls by the total
So:
[tex]P(White) = \frac{White}{Total}[/tex]
[tex]P(White) = \frac{5}{16}[/tex]
[tex]P(White) = 0.3125[/tex]