Answer:
The answer is B. 75 - f = 56
Step-by-step explanation:
A rectangular garden has a perimeter of 578 yds.
The length is one more than three times the width.
Find the dimensions of the garden.
Answer:
Width (w) = 72 yds
Length (L) = 217 yds
Step-by-step explanation:
Let L represent the length.
Let w represent the width.
From the question given above:
Perimeter (P) = 578 yds.
Length (L) is one more than three times the width (w). This can be written as. Follow:
three times the width (w) = 3w
Therefore, the length (L) is given by:
L = 1 + 3w
Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:
Recall:
Perimeter of rectangle is given by:
P = 2(L + w)
P = 2L + 2w
Perimeter (P) = 578 yds.
Length (L) = 1 + 3w
Width (w) = w
P = 2L + 2w
578 = 2(1 + 3w) + 2w
Clear bracket
578 = 2 + 6w + 2w
578 = 2 + 8w
Collect like terms
578 - 2 = 8w
576 = 8w
Divide both side by 8
w = 576/8
w = 72
Therefore, the width is 72 yds
L = 1 + 3w
w = 72
L = 1 + 3(72)
L = 1 + 216
L = 217
Therefore, the length is 217 yds.
The dimensions of the garden is given below:
Width (w) = 72 yds.
Length (L) = 217 yds.
Ray created the list of factors for 48 below.
48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48
Which number should be removed from his list to make the list accurate?
O 3
07
O 16
O 48
please help!!
kinda disrespectful someone didn't answer this but anyway..
Without an explanation your answer is 7
W/ an explanation:
___________________________________
7 should be removed from the list because all the other numbers can multiply to 48
1 x 48 ✔
2 x 24 ✔
3 x 16 ✔
4 x 12 ✔
6 x 8 ✔
7 x ? ❌
Thus, 7 is left with nothing to multiply by besides itself which would give you 47 but the number we have the list of is 48. So 7 is your number to remove from the list.
How do you know when to add or subtract?
The lengths of XY and YZ add up to the length of XZ:
XY + YZ = XZ
We know that XZ = 10 + 1/5 = 51/5, and XY = 4 + 2/3 = 14/3, so
14/3 + YZ = 51/5
Subtract 14/3 from both sides to solve for YZ:
YZ = 51/5 - 14/3
Find a common denominator; the least common multiple of 5 and 3 is 15, so multiply the first fraction by 3/3 and the second one by 5/5 to get
YZ = 153/15 - 70/15
YZ = (153 - 70)/15
YZ = 83/15
We have 80 = 75 + 8, so that
YZ = 83/15 = (75 + 8)/15 = 75/15 + 8/15 = 5 + 8/15
last month jensen earned $270 for h hours of working. this month, she earned the same rate for 15 hours of working. write an expression to show how much jensen earned his month
8/5x+4 + 16/5x = 6(4/5x+3) – 20
find x
Answer:
First of all, you are going to add
5
x
to each side. This will give you a new equation of
8
x
=
16
. The reason you add 5 is because you want to get rid of the -5x on the right. When you add 5 it changes to 0x. Anything times 0 equals 0. The next step is to divide both sides by 8. The reason you divide is to get x alone. When you divide 8x by 8, you get 1x. 1 times anything equals what the other thing is. For example, 1 times 4 is 4. This will give you your answer of
x
=
2
Viola has 185 cans of soda. Dixie has 17 cans of soda less than viola. How many cans
of soda does Dixie have?
Can someone please convert this into a algebraic expression?
Answer:
168
Step-by-step explanation:
No of cans of soda Dixie has = 185 - 17 = 168
Another way:
Let Dixie has x cans of soda
Therefore,
Viola has = (x + 17) cans
According to the given information:
x + 17 = 185
x = 185 - 17
x = 168
Urgent!!!!!In a class of students, the following data table summarizes the gender of the students
and whether they have an A in the class. What is the probability that a student is a
male given that they have an A?
Answer:
.85%
Step-by-step explanation:
You add up all the students who have an A whether they are male or female. 3 + 17 = 20. You have 17 males right? Divide 17 by 20 to get .85
7/8 greater than or less than 2/4
Answer:
greater than
Step-by-step explanation:
7/8 is greater than 4/8
I have an order to administer nitroglycerin 10mcg/min continuous infusion. The bottle of nitroglycerin available is 50mg in 250 ml of D5W. At what rate would you set the IV pump to infuse at
Answer:
The IV pump infusion rate = 0.05ml per minute
Step-by-step explanation:
available concentration = 50 mg per 250 ml of D5W
This means that
250 ml of D5W contains 50 mg
note that
mg = milligram
mcg = microgram
250 ml = 50mg
1ml = 50/250 mg
1ml = 0.2mg
Next, let us convert from milligram (mg) to microgam (mcg) since the unit of administration is in mcg.
1 mg = 1000 mcg
∴ 0.2 mg = 1000 × 0.2
= 200mcg
Therefore the available concentration 200mcg/ml
required concentration/min = 10
since 1 ml = 200mcg
1 mcg = (1 ÷ 200) ml
1 mcg = 0.005 ml
∴ 10 mcg = 0.005 × 10 = 0.05 ml
10 mcg is contained in 0.05 ml of the solution
Therefore, the IV pump infusion rate = 0.05ml per minute
if one side of a square measures (3x - 8)ft., find the area of the square show work
Answer:
[tex]9x^{2}[/tex]-48x+64
Step-by-step explanation:
First, start off with what the area would look like with the equation plugged in.
[tex](3x-8)x^{2}[/tex]=area -----> (3x-8)(3x-8)
Second, multiply out the numbers in the ()s.
(3x-8)(3x-8) ---> (3x)(3x) = [tex]9x^{2}[/tex] --->(3x)(-8)=-24x----->(-8)(3x)=-24x------>(-8)(-8) = 64
Finally, you combine like terms and you have your answer.
[tex]9x^{2}[/tex]-24x-24x+64 -----> [tex]9x^{2}[/tex]-48x+64
Hoped this helped!
djdsklsa;jska da;kja849381-09
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
849381 - 9 = 849372
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The stem plot shows the number of swimming laps completed by swim team members at a single practice.
Row 1 has a 5 to the left of the bar and 7, 9 to the right. Row 2 has a 6 to the left of the bar and 1, 2, 3, 4 to the right. Row 3 has a 7 to the left of the bar and 6, 6 to the right. Row 4 has an 8 to the left of the bar and 2, 5, 9 to the right. Row 5 has a 9 to the left of the bar and no numbers to the right. Row 6 has a 10 to the left of the bar and no numbers to the right. Row 7 has an 11 to the left of the bar and no numbers to the right. Row 12 has a 12 to the left of the bar and a 5 to the right.
Key: 5|9 = 59 swimming laps
Which of the following is a correct statement about the distribution?
The question is incomplete. Here is the complete question.
The stem plot shows the number of swimming laps completed by the swim team members at a single practice.
5 7 9
6 1 2 3 4
7 6 6
8
9
10
11
12 5
What is a correct statement about distribution?
There no outliers
The distribution is symmetric
The center is around 80
The distribution is unimodal
The spread is from 57 to 89.
Answer: The distribution is unimodal.
Step-by-step explanation: Stem Plot is an unique way of writing numbers in a table. Each value is split into a "stem" (first digit or digits) and a "leaf" (usually the last digit).
For the swim team practice, we have:
57, 59, 61, 62, 63, 64, 76, 76, 125
Note that, although there the digits 8, 9, 10, and 11, there no "leaves" for them, so, the values are not part of the distribution.
Outlier is a value that lies outside most of other values. In the distribution there is the value 125 which is very much more than other values, i.e., it is an outlier, so, alternative "There no outliers" is false;
Ploting the values on a frequency graph, it shows a curve skewed to the right, i.e., deslocated to the right, then, it is not symmetric. Second alternative is false.
The center of the distribution is the middle value, which is 63, then, third statement is false.
The spread of this distribution is from 57 to 125, so fifth statement is incorrect.
An unimodal distribution is a distribution which has only one clear peak or most frequent value. At the swim team distribution, the value that appears more than once is 76, so the peak is at that value. The other values appears just once, so distribution has only one peak. Fourth statement is correct.
3
The sum of two consecutive whole numbers is
91. What are the numbers?
Represent your numbers as follows.
X ⇒ first number
X + 1 ⇒ second number
Since their sum is 91, we have x + (x + 1) = 91.
Solving from here, simplify on the left side to get 2x + 1 = 91.
Subtract 1 from both sides to get 2x = 90.
Now divide both sides by 2 and x = 45.
So if x = 45, then x + 1 must be 46.
So our numbers are 45 and 46.
Answer:
5423875
Step-by-step explanation:
i need help with #6
Answer: The whole equation is simplified down to -20.
Step-by-step explanation:
Here's how I got my answer:
Equation is 4p^2 + 7q^3
All you need to do is plug in the values they have given you. If you apply them, you get:
4 (-3)^2 + 7 (-2)^3
Which simplifies to:
4 (9) + 7 ( -8)
Simplify furthermore:
36 + (-56)
Which gives you:
-20
Tim took his friends to the movies. He stared with $40 and bought 3 movie tickets that each cost x dollars. He also bought one tub of popcorn that cost $5.75. Which of the following expression(s) represent the amount of money Tim has left? *
(A) 40-x-x-x-5.75
(B) 40-3-5.75 34.25-3x
(C) 40-3X-5.75 0
(D) -3x+34.25 31.253
Answer:
40 - x - x - x - 5.75 OR 40 - 3x - 5.75 OR 34.25 - 3x
Step-by-step explanation:
To find the amount of money Tim has left, we will simply write an expression that starts with the total he started with subtracting each expense.
$40
- $x
- $x
- $x
- $5.75
________________________
$40 - $x - $x - $x - $5.75
= $ (40 - 5.75) - 3(x)
= $ 34.25 - 3x
So you can choose one of three of these expressions:
(1) 40 - x - x - x - 5.75
(2) 40 - 3x - 5.75
(3) 34.25 - 3x
Cheers.
Solve for R. P=R−C What is R equal to?
Answer:
R = P+C
Step-by-step explanation:
P = R-C
+C +C
R = P+C
What percentage of the UKs population is 14.1 million people?
The UK has a population of 66.65 million. What do 14.1 million people make up a percentage of?
Answer:
≈21.16%
Step-by-step explanation:
Population = 66.65 M
14.1 M make up:
14.1/66.65*100% ≈21.16%Three people are sitting on a bus. Bridget is directly behind Sophia and directly left of Alan. If Sophia and Bridget are 3 feet apart, and Alan and Sophia are 9 feet apart, what is the distance between Bridget and Alan? If necessary, round to the nearest tenth.
Answer:
The distance between Bridget and Alan is 9.48 ftStep-by-step explanation:
kindly find attached a rough sketch of their sitting position which forms a right triangle
We can proceed by using Pythagoras therm to solve for the distance between Bridget and Alan which is the hypotenuse
[tex]C^= A^2+B^2\\\\C= \sqrt{A^2+B^2}[/tex]
From the problem statement
A, which is the opposite is = 3 ft
B, which is the adjacent = 9 ft
C, is the hypotenuse= ?
Substituting into the expression we have
[tex]C= \sqrt{3^2+9^2} \\\\C= \sqrt{9+81}\\\\C= \sqrt{90}\\\\ C= 9.48 ft[/tex]
To the nearest tenth the distance is 9.48 ft
Answer:
2.6 meters
Step-by-step explanation: That the most unnecessary math ever, thank you to who ever decided to come up with the Pythagorean theorem.
The type of person to write the name on scratch paper...
:)
I need to know what -(6h + 7) + 8 = -19 is
Answer:
10/3
Step-by-step explanation:
-1(6h + 7) = -6h - 7
-6h - 7 + 8 = -6h + 1
-6h + 1 = -19
-1 -1 - Subtract 1 from both sides.
-6h = -20
-6 -6 - Divide both sides by negative 6
h = 10/3
Answer:
h = 10/3
Step-by-step explanation:
-(6h + 7) + 8 = -19
Subtract 8 from each side
-(6h + 7) + 8-8 = -19-8
-(6h + 7) = -27
Divide by a negative
6h+7 = 27
subtract 7
6h+7-7 = 27-7
6h = 20
Divide by 6
6h/6 = 20/6
h = 10/3
Cori saved $15 every week for 6 months. Then she
spent 60% of the money for a new bike. How much
money did she have left?
Answer:
$144
Step-by-step explanation:
15*4=60
60*6=360
360*0.6=216
360-216=144
Two angles are supplementary. They are represented by (3x)° and (12x+1)°. Find both angles.
Answer:
35.8°
144.2°
Step-by-step explanation:
Definition of Supplementary Angles: They add up to 180°
Step 1: Set up equation
3x + 12x + 1 = 180
Step 2: Solve
15x + 1 = 180
15x = 179
x = 11.93
Step 3: Find angles
∠1 = 3x
m∠1 = 3(11.93) = 35.8°
∠2 = 12x + 1
m∠2 = 12(11.93) + 1 = 144.2°
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $375 to drive 380 mi and in June it cost her $455 to drive 700 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)
Answer:
idk
Step-by-step explanation:
You buy a 625.05 mL container of dish soap. You already have
142.71 mL at home.
How many mL do you have in total?
ml
Answer:
You have 767.76 mL of soap.
Answer: 767.76 ml of dish soap.
Step-by-step explanation: 625.05+142.71=767.76.
Anam is thinking of a prime number it is between 40 to 60 the differnce between is digit is 3 what prime number is anum thinking of?
Answer:There are two possible answers. 41 and 47
Step-by-step explanation: These both have a difference of 3 between the digits. Other prime numbers between 40 and 60: 43, 53, 57, 59 have differences of 1, 2, and 4.
At Alexandra's Orchards, 99% of the trees are apple trees. Across town at Zachary's Orchards, 558 out of 563 trees are apple trees. Which orchards have a greater percentage of apple trees?
Answer:
Zachary's Orchards
Step-by-step explanation:
We are already given the percent of trees at Alexandra's Orchards, so nothing to do here, yet.
Zachary's Orchards we could find by dividing the trees over the total.
558/563 = .9911
Multiply by 10 in order to get a whole number
.9911 * 10 = 99.11
Hence, Zachary's Orchards have a greater percentage
To solve 2x+9=21, what is the first step?
Answer:
The first step is to subtract 9 from each side
Step-by-step explanation:
2x+9=21
The first step is to subtract 9 from each side
2x+9-9 = 21-9
2x = 12
Then divide by 2 on each side
2x/2 = 12/2
x = 6
Answer:
That would be to collect like terms
Step-by-step explanation:
Further explanation
[tex]2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6[/tex]
At the end of a dice game, James has -5 points and Richard has 15 points. What is the difference in their scores? A. -20 B. 10 C. 20 D. -10
C) 20 points
Step-by-step explanation:James - 5
Richard + 15
What is the difference in their scores ?
+ 15 - (- 5) =
= 15 + 5
= 20 points
Answer:
a is the answer because the question had said that to find out the difference
Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements?
Answer:
Kathy cannot compare the two measurementsStep-by-step explanation:
This problem seeks to tests our understanding of measurements and units
Kathy cannot compare the two measurements because the two units of measurement are not the same.
Now centimetres is 10 times bigger than millimetres.
What Kathy can actually do is to convert from one unit to another, that is from centimetres to millimetres.
Since the units are not similar Kathy cannot compare them but she can convert from one to the other
what is the value of sin 12 - cos 78
Answer:
0
Step-by-step explanation:
[tex]\sin(12\º) - \cos(78\º)[/tex]
Consider the cofunction identity:
[tex]$\boxed{\sin(\theta)=\cos \left(\frac{\pi}{2} - \theta \right)} $[/tex]
[tex]$\boxed{\sin(\theta)=\cos \left(90\º - \theta \right)} $[/tex]
[tex]\sin(12\º)=\cos(90\º - 12\º)=\cos(78\º)[/tex]
[tex]\therefore \cos(78\º) - \cos(78\º) = 0[/tex]
The value of Sin 12-cos 78 is 0
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: sin 12 - cos 78 = Sin(90-12)-cos78 but we know sine of any angle = the cosine of any complementary angle
Thus we have Sin78-Cos78=0
Hence, The value of Sin 12-cos 78 is 0
Learn more about trigonometric functions here:
https://brainly.com/question/6904750
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Justine and Meagan played a trivia game. Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score. Which is the correct way to represent that "the opposite of Justine's score was equal to Meagan's score
Answer:
The correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].
Step-by-step explanation:
We know that the opposite of the opposite of a number, say 2, is the number itself.
That is:
Opposite of 2 is -2.
Then the opposite of -2 is:
- (-2) = 2
It is provided that:
Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score.Assume that both Justine and Meagan started with 0 score.
Justine plays first.
If Justine answered a question incorrectly, his score would be -7.
Then Meagan plays, and answers the question correctly.
So, Meagan got the opposite score.
The opposite of -7 will be [- (-7)].
Thus, the correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].