8.57 liters glucose (in liters) is needed for 30 units of blood.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
For 7 units of blood = 2 l of glucose needed.
Foe 1 units of blood, glucose needed = 2/7
For, 30 units of blood , glucose needed = 8.57 liters
Hence, 8.57 liters glucose (in liters) is needed for 30 units of blood.
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Tracie ran a total of 5 3/4 miles on Saturday and Sunday. She ran 1 5/8 miles on Saturday. how many miles did Tracie run on Sunday?
let's firstly convert the mixed fractions to improper fractions and then get their difference.
[tex]\stackrel{mixed}{5\frac{3}{4}}\implies \cfrac{5\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{23}{4}} ~\hfill \stackrel{mixed}{1\frac{5}{8}}\implies \cfrac{1\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Saturday and Sunday}}{\cfrac{23}{4}}~~ - ~~\stackrel{Saturday~only}{\cfrac{13}{8}}\implies \cfrac{(2)23~~ - ~~(1)13}{\underset{\textit{using this LCD}}{8}}\implies \underset{Sunday~only}{\cfrac{33}{8}\implies 4\frac{1}{8}}[/tex]
Determine the value of x using a trigonometric
ratio.
Answer:
B. 8.56
Explanation:
Given:
angle = 50°adjacent = 5.5 hypotenuse = xSo using cosine rule:
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]\rightarrow \sf cos(50) = \dfrac{5.5}{x}[/tex]
[tex]\rightarrow \sf x= \dfrac{5.5}{cos(50) }[/tex]
[tex]\rightarrow \sf x= 8.56[/tex]
Help please and thank you
Answer: 9
Step-by-step explanation:
By the geometric mean theorem, [tex]\frac{x}[6} =\frac{6}{4} \longrightarrow x=\left(\frac{6}{4} \right)(6)=\boxed{9}[/tex]
the diagram shows a right angled triangle. 9cm 15cm x degrees. Find the size of angle x. Give your answer correct to 1 decimal place.
Answer:
31°
Step-by-step explanation:
As the opposing side and adjacent side of the angle x are given, we need to take the tan ratio of the angle.
=============================================================
Solving :
⇒ tan x° = 9/15
⇒ tan x° = 3/5
⇒ x = tan⁻¹ (0.6)
⇒ x = 31°
The size of the unknown angle "x"
Solution:We'll have to check which is the appropriate one from SOHCAHTOA.
In this question we'll have to use tan because opposite and adjacent is given.
[tex]\large\boxed{Formula: tan(A)= \frac{opp}{adj}}[/tex]
Substitute according to the formula.
[tex]tan \: x= \frac{9}{15}[/tex]
We'll have to use tan inverse.
[tex]x={tan}^{-1}(\frac{9}{15})[/tex]
[tex]x=30.96375653[/tex]
[tex]\large\boxed{x=31° }[/tex]
Hence, the size of the unknown angle "x" is 31°
I want to know the:
X-intercepts
Y-intercepts
Please accurate answers only!
Answer:
Step-by-step explanation:
Ordered pairs
( 1 , -1 )
( 2 , -3 )
( 3 , -5 )
( 4 , -7 )
( 0 , 1 )
( -1 , 3)
( -2 , 5)
( -3 , 7)
Answer:
x-intercept = (0.5, 0)
y-intercept = (0, 1)
Step-by-step explanation:
x-intercept : where the line intersects the x-axis
x-intercept = (0.5, 0)y-intercept : where the line intersects the y-axis
y-intercept = (0, 1)Maria’s suitcase has a mass of 14 kilograms. Her sister’s suitcase
has a mass of 1,600 grams. Which suitcase has a greater mass?
Explain.
Answer:
Maria
Step-by-step explanation:
Marias suitcase is heavier as 1600 grams to kg is 1.6kg which is less than Marias suitcase which weighs 14kg hope this helps:)
translate the equation 49 is what percent of 66?
Answer:
49 ÷ 66 × 100= x
Step-by-step explanation:
what are the prime factors of 30
Step-by-step explanation:
Stay safe, stay healthy and blessed.Have a good day !Thank you♡ #jennifer ♡
A short road trip took Susan about 2 hours, traveling at an average speed of 51
miles per hour. Let t represent time (in hours) and r represent speed (in miles per
hour). Identify the type of variation, determine the number of miles she traveled,
and write an equation to represent the relationship between time and speed for
her trip.
The type of variation between the speed and time is inverse.
The equation is r = d / t
The number of miles travelled is 102 miles.
What is the type of variation?
When the speed a person is driving at increases, the time it takes to travel would decrease. On the hand, speed a person is driving at decreases, the time it takes to travel would increase. This means that there is an inverse relationship.
The equation that represents an inverse relationship is
r = d / t
Where d is the distance
Distance = t x r
51 x 2 = 102 miles
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CAN SOMEONE PLEASE PLEASE PLEASE HELP ME, YOU’LL GET FREE EASY POINTS IF YOU GIVE ME THE RIGHT ANSWER !!
Answer:
1. Reflection
2. G` will coincide with A, because having a reflection along with BC would mean G` directly goes on A.
3. GBC is congruent to triangle ABC because triangle GBC and triangle ABC have the same exact line measurements, and angles, and share a line.
Step-by-step explanation:
I don't know your notes on 6/3 so number 3 might not be 100% correct.
Answer:
reflection across BCthe image of a vertex will coincide with its corresponding vertexSSS: AB≅GB, AC≅GC, BC≅BC.Step-by-step explanation:
We want to identify a rigid transformation that maps congruent triangles to one-another, to explain the coincidence of corresponding parts, and to identify the theorems that show congruence.
__
1.Triangles GBC and ABC share side BC. Whatever rigid transformation we use will leave segment BC invariant. Translation and rotation do not do that. The only possible transformation that will leave BC invariant is reflection across line BC.
__
2.In part 3, we show ∆GBC ≅ ∆ABC. That means vertices A and G are corresponding vertices. When we map the congruent figures onto each other, corresponding parts are coincident. That is, vertex G' (the image of vertex G) will coincide with vertex A.
__
3.The markings on the figure show the corresponding parts to be ...
side AB and side GBside AC and side GCangle ABC and angle GBCangle BAC and angle BGCAnd the reflexive property of congruence tells us BC corresponds to itself:
side BC and side BCThere are four available congruence theorems applicable to triangles that are not right triangles
SSS -- three pairs of corresponding sidesSAS -- two corresponding sides and the angle betweenASA -- two corresponding angles and the side betweenAAS -- two corresponding angles and the side not betweenWe don't know which of these are in your notes, but we do know that all of them can be used. AAS can be used with two different sides. SAS can be used with two different angles.
SSS
Corresponding sides are listed above. Here, we list them again:
AB and GB; AC and GC; BC and BC
SAS
One use is with AB, BC, and angle ABC corresponding to GB, BC, and angle GBC.
Another use is with BA, AC, and angle BAC corresponding to BG, GC, and angle BGC.
ASA
Angles CAB and CBA, side AB corresponding to angles CGB and CBG, side GB.
AAS
One use is with angles CBA and CAB, side CB corresponding to angles CBG and CGB, side CB.
Another use is with angles CBA and CAB, side CA corresponding to angles CBG and CGB, side CG.
Find it and give me a step by step explanation thank you
Answer:
50.13
Step-by-step explanation:
We can easily find the area of our square, so to get that over with, 6*6=36. Now, for our circle, a full circle would be A=pi*r^2, but we only have half a circle. That means our equation will be A= 1/2(pi*r^2). We have our diameter, but we need our radius. Radius is just half the diameter, so 6/2=3. Now, we multiply. 3^3 is 9, and 9*3.14 is 28.26. All we have to do now is divide that by 2. If we do that, we get 14.13. The area of the semi-circle is 14.13. But we still have to add it to the area of the square, which will be our final step. 36+14.13=50.13, which is your area.
Hope this helps!
A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path.
A circle has a radius of 28 feet. A larger circle goes around the smaller circle that is 4 feet wide.
About how many feet of fencing are needed to go around the pool path? Use 3.14 for Pi.
88 ft
100 ft
176 ft
201 ft
The number of feet of fencing that is needed to go around the pool path is D. 201 ft.
How to calculate the number of feet?
We have a pool with a radius of 28 feet. The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.
= (28 + 4) feet
= 32 feet
The circumference of the outer edge of the pool path would be equal to the perimeter.
p = 2 * pi * r
p = 2 * 3.14 * 32
p = 200.96 feet
p = 201 feet
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8-2 (i+1) < 12 − 7i + 4i true.
Answer:
True
Step-by-step explanation:
8-2 (i+1) < 12 − 7i + 4i
Left side of the inequality:
8 - 2(i + 1) distribute
8 - 2i - 2 simplify
(8 - 2) - 2i
6 - 2i
Right side of the inequality:
12 − 7i + 4i simplify
12 − 3i
Combine:
6 - 2i < 12 − 3i
6 is less than 12
3i is less than 2i
leads to the assumption that the statement is true
How to solve this problem for my algebra class
Answer: it suggests that this equation has no remainder and that the value of x is the factor.
A total of 720 tickets were sold for the school play. They were either adult tickets or student tickets. There were more student tickets sold than adult tickets. How many adult tickets were sold?
A total of 720 tickets were sold for the school play. They were either adult tickets or student tickets is mathematically given as
How many adult tickets were sold?Generally, the equation for a sold tickets is mathematically given as
S=x+72
Therefore
x+x+72=772
2x+72=772
2x=772-72
x=350
In conclusion, tickets sold was
x=350
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Solve, using the substitution method.
x = 10
y = 2x – 6
(10, 14)
(10, 4)
(10, –4)
(10, –1)
Answer:
(10, 14)
Step-by-step explanation:
Hello there!
Given such a problem, we have been told to use substitution method to solve it.
To cut it short, substitution refers to replacing a variable with a value.
Here is a way to solve this problem even in future:
simplify the equation givensolve the equation for the variable x or ysubstitute as step 2 above for the other variablesolve the newly obtained equationand finally solve the equation to find the value of variable not yet obtained.Back to our problem,
y = 2x - 6, x = 10
Substitute x into equation y = 2x - 6
y = 2(10) - 6
= 20 - 6
= 14
. ° . x = 10, y = 14
Variables in terms of x and y
(x, y) = (10,14) ✓
This is our answer.
I hope this helps.
Have a nice studies.
For the first 6% of Bianca's salary, her employer matches 100% of her 401(k)
contributions, and from 6% to 12%, Bianca's employer matches 50% of her
401(k) contributions. Bianca's salary is $50,000, and last year, she contributed
$6000 to her 401(k) plan. What was her employer's contribution to the
401(k)?
OA. $7200
OB. $4500
OC. $6000
OD. $3000
Answer:
B
Step-by-step explanation:
6% of her salary is .06 * 50000 = 3000 <===== matched 100%
from 6- 12% is another 3000 <=====matched 50% = 1500
3000 + 1500 = 4500 dollars matched
(she put in 6000 and her employer put in 4500 = 10500 total)
can you simplify 8/15+1/6
Answer:
Yes and the answer is 16/5
Step-by-step explanation:
Find the reciprocal of the divisor
Reciprocal of 1/6 : 6/1
Now, multiply it with the dividend
8/15 ÷ 1/6 = 8/15 × 6/1
And after that you get 48/15 but after reducing the fraction, the answer is 16/5. ( In mixed form, 3 1/5 )
I hope this helps and I am a middle school student answering this question.
Answer:
7/10Step-by-step explanation:
can you simplify 8/15+1/6
8/15 + 1/6 =
(16 + 5)/30 =
21/30 =
semplify (21:3 and 30:3)
7/10
) A philanthropist pledges to donate 12% of
a fund each year. If the fund initially has
$681,000.00, how much will the fund
have after 9 years?
answer 7344012
percent *612000 =
(12:100)*612000 =
(12*612000):100 =
7344000:100 = 73440
Now we have: 12 percent of 612000 = 73440
Question: What is 12 percent of 612000?
Percentage solution with steps:
Step 1: Our output value is 612000.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$612000=100\%$.
Step 4: Similarly, $x=12\%$.
Step 5: This results in a pair of simple equations:
$612000=100\%(1)$.
$x=12\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{612000}{x}=\frac{100\%}{12\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{612000}=\frac{12}{100}$
$\Rightarrow x=73440$
Therefore, $12\%$ of $612000$ is $73440$
An arithmetic sequence has a first term of 4 and a common difference of 3. What is the 20th term
of the sequence?
Answer:
61
Step-by-step explanation:
aₙ = a₁ + (n - 1)d
aₙ = 4 + (20 - 1)3
aₙ = 4 + (19)3
aₙ = 4 + 57
aₙ = 61
A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 4 apples and 4 oranges. They also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Answer:
no
Step-by-step explanation:
The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.
__
The first relation can be written as ...
$10 = 4A +4O
$10 = 4(A +O) . . . . factor out 4
$2.50 = A +O . . . . divide by 4
The second relation can be written as ...
$12 = 6A +6O
$12 = 6(A +O) . . . . factor out 6
$2 = A +O . . . . . . . divide by 6
These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.
No unique prices can be assigned.
Solve the inequality. Write the solution set in interval notation and graph it.
12x183(3x - 13)
O(-∞, -7]
-9
-6
-5
O(-∞, -7)
O (-7,00)
20
و۔
O [-7,00)
-8
t
-8
-8
-8
54
+7
5
45
-6
d
-6
-S
i
Answer:
hi the answer is c
Step-by-step explanation:
45°
x 100°
y = [? ]º
Answer:
55
Step-by-step explanation:
What is the total number of different 9-letter arrangements that can
be formed using the letters in the word Projector?
WHO LOVES AMY WINEHOUSE??
Answer:
:
Step-by-step explanation:
How should this model be completed to represent 605 ÷ 18?
Answer:
Check the attached image
The table shown below lists the time, in days, that it takes for
a package to be delivered based on its mode of transport and
whether it is international or domestic. Some additional
information is provided.
1. The cost per package by air is $100; by train, $50; by
truck, $10; and by boat, $20.
2. Fragile packages cannot be transported by air.
3. Shipping fragile packages costs an extra $20.
4. Shipping international packages costs an extra $30.
Tim needs to transport a fragile package, and he needs it to
arrive as soon as possible. He is shipping domestic. Which of
the following shipping methods should he use?
Answer:gotchu g there it is
Step-by-step explanation:
Answer:sike gtf
Step-by-step explanation:
Find the value of each trigonometric ratio. 18) cos X Y 24 24 25 24 A) C) 25 B) D) 24 25 25
Answer:
Step-by-step explanation:
What are the domain and range of the function
represented by the set of ordered pairs?
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
The domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs is given below.
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
Then the line function will be
y – 0 = [(– 1 – 0)/(0 + 1)] (x + 1)
y = – x – 1
x + y + 1 = 0
Then the domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).
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For 95% of all randomly selected samples of n = 130 students, the mean amount of sleep will be between? Use the empirical rule.
For 95% of all randomly selected samples of n = 130 students, the
amount of sleep will be between [tex]P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\[/tex].
What is the empirical rule?According to the empirical rule, also known as the 68-95-99.7 rule.
The percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
For 95% of all randomly selected samples of n = 130 students, the
amount of sleep will be between can be
[tex]P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\[/tex]
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