The systems of the equations for the word problem can be expressed as:
x + y = 500 --- (1)100x + 20y = 4000 --- (2)What is a system of equations?The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.
From the given information, we are to determine two quantities
i.e.
For 100% saline solution (x) andFor 20% saline solution (y)So, 100% and 20% of saline solution produce 160 millimeters.
x + y = 160
Also, the combination of 100% and 20% of saline solution give an average of 25%.
The average now = sum of numbers/ the total numbers
25% = sum of numbers/160
sum of numbers = 25% (160)
Therefore, we can equate it to the mixture carried out by the nurse.
i.e.
25% (160) = 100%(x) + 20%(y)
100x + 20y = 4000
Therefore, the systems of the equations are:
x + y = 500 --- (1)
100x + 20y = 4000 --- (2)
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Solve for x. Write both solutions, separated by
a comma.
6x² + 5x6 = 0
Answer:
x = 0.7401 ± 0.7401i, x = 0
Step-by-step explanation:
(6 • (x^2)) + 5x^6 = 0
(2•3x^2) + 5x^6 = 0
5x^6 + 6x^2 = x^2 • (5x^4 + 6)
x^2 • (5x^4 + 6) = 0
x^4 = -6/5 = -1.200
x = ∜ -6/5
⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.
→ x = 0
→ x = 0.7401 ± 0.7401i
What is the value of x?
Answer:
130° is the correct value of x.Step-by-step explanation:
In the question, there's an quadrilateral whose sum of all exterior angle is 360°.
140° + 34° + 56° + x = 360°
➝ 230° + x = 360°
➝ x = 360° - 230°
➝ x = 130°
Thus, The value of x is 130°.
if ABC intersect with Efc what would it be please help!
Answer:
image below
Step-by-step explanation:
The diameter of a circle is 16 centimeters. How would you calculate the area?
A. TT. 82 cm.
B. 28 cm.
C. TT 162 cm.2
D. 2. T. 16 cm.
How many layers of 1 inch cubes fill the carton
Answer:
3
Step-by-step explanation:
4 layers 15 cubes
the total amount of cubes =5*3*4
two boys decided to buy a computer. The second boy had 5/6 of the amount of money the first had. The first boy had 7/8 of the price of the computer. Together they had $696 more than they needed to pay. What was the price of the computer
Answer:
1152$
Step-by-step explanation:
b1 = 7/8 C
b2 = 5/6 b1 = 35/ 48 C
7/8 C + 35/48 C = C + 696
42/48 C + 35/48 C = 48/48 C + 696 * 48/48
(42 + 35 - 48 ) C = 696 * 48
29 C = 33408
C =1152.
Write this percentage as a fraction in its simplest form. 41 %
Answer:
41/100.
Step-by-step explanation:
Per cent (%) means 'per hundred'.
as a fraction: 41/100.
As a decimal it is 0.41.
Find the surface area of the prism.
Answer:
total surface area = 324 m²
lateral surface are = 132 m²
top surface area = 96 m²
bottom surface area = 96 m²
Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
Answer:
there are 120 slices of orange.
Step-by-step explanation:
The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.
Can someone PLEASE help with these 10th grade geometry angle problems? I have no idea how to solve these and I'm desperate. My teacher won't get back to me and I really need this done. will reward brainly and 5 stars + thanks. You don't have to answer both if you don't want to. either would help tremendously.
Given
m∠MPN = 35°mLP = 130°To find
The value of mMNWe can see MN is intercepted by the angle MPN.
Inscribed angle is half the measure of intercepted arc
m∠MPN = 1/2mMN ⇒ mMN = 2 × m∠MPN = 2 × 35° = 70°The answer is mMN = 70°
Question 2Given
m∠AOB = 40°mED = 60°To find
m∠CODSee the solution with reasons for each line
m∠COD = m∠EOB ⇔ vertical angles are congruentmBD = 180° ⇔ BD is diameter and cuts the circle in halfm∠EOB = mBD - mED ⇔ Angle addition m∠EOB = 180° - 60° = 120° ⇔ SubstitutionSo the answer is m∠COD = 120°
A multiple-choice test with 50 questions has five possible
choices for each question. There are 4 marks for each correct
answer, -1 mark for each incorrect answer, and 0 marks for each
unanswered question.
What is the total score of a student with 35 correct answers, 10
incorrect answers and 5 unanswered questions?
Answer:
130
Step-by-step explanation:
[tex](35*4)-(10*1)-(5*0)=130[/tex]
Monica walks 2 miles each day Monday through Friday. She walks 3 miles on Saturday. She does not walk on Sunday. Monica calculates that she will have walked 127 miles after 29 weeks.
What is an estimate for the number of miles that Monica will have walked after 29 weeks? Is her original calculation reasonable?
A: 137; her original calculation is reasonable
B: 145; her original calculation is not reasonable
C: 310; her original calculation is reasonable
D: 390; her original calculation is not reasonable
Answer:
390, since the answer I got was 377, and we are estimating so that’s the best estimate.
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
She made a mistake on step 3
The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]
This is what her steps should look like
[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]
Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.
Answer: The answer is in fact C.
Step-by-step explanation:
I am the lizard king, I can do anything.
please slove question 5
Answer:
2,160 mm³
Step-by-step explanation:
Q5
V = 1/2 × lwhV = 1/2 × 24 × 10 × 18V = 12 x 10 x 18V = 216 x 10V = 2,160 mm³In the past month, Joe rented 5 video games and 4 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Joe spent on video game and DVD rentals in the past month?
Answer:
$26.2
Step-by-step explanation:
5*2.50 is 13 for video games
4*3.30 is 13.2 for DVD
Sum them up and you get 26.2
State if the three numbers can be the measures of the sides of a triangle. 11, 3, 8
we have three sides, let's look at the two smaller sides first.
check the picture below atop.
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 11.
so the third side being 11 is a no dice.
If 0.8Vx160=0.9Vx45
Get the value of V
Answer:
V=0
Hope it helps
I need a answer for this:
What causes a wagon to speed up when going down a hill?
Answer:
supermax makes it go fast
Step-by-step explanation:
What is the solution of startroot x 12 endroot = x?
Answer:
x = 0 ; x = 1
Step-by-step explanation:
[tex]\sqrt{x^{12}} =x[/tex]
[tex]\Longleftrightarrow \sqrt{x^{6\times 2}} =x[/tex]
[tex]\Longleftrightarrow \sqrt{\left( x^{6}\right)^{2} } =x[/tex]
[tex]\Longleftrightarrow |x^{6}|=x[/tex]
[tex]\Longleftrightarrow x^{6}=x\ \ \ ;\ |x^{6}|=x^{6}[/tex]
[tex]\Longleftrightarrow x^{6}-x=0[/tex]
[tex]\Longleftrightarrow x(x^{5}-1)=0[/tex]
[tex]\Longleftrightarrow x=0 \ \ or\ \ (x^{5}-1)=0[/tex]
[tex]\Longleftrightarrow x=0\ \ or\ \ x^{5}=1[/tex]
[tex]\Longleftrightarrow x=0\ \ or\ \ x=1[/tex]
Find the three arithmetic means in this sequence.
2, __, __, __, -18
Answer:
-16 -14 -12
Step-by-step explanation:
This is the answer because if you subtract -18 from 2, you would get -16 and so on and so on.
I'll give brainiest to whoever answers these correctly
1)The two-way table shows the results of a survey where students were asked if they were currently in elementary or middle school and if they owned a smartphone.
Of the middle school students, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
2)Which of the following can you conclude from the two-way table?
A) Middle school and elementary school students are equally likely to own a smartphone.
B) An elementary school student is more likely to own a smartphone than a middle school student.
C) A middle school student is more likely to own a smartphone than an elementary school student.
D)There is no association between the student's school and owning a smartphone.
1)The relative frequency of those who own a smartphone will be 45%.
2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.
What is the formula for calculating the joint relative frequency?Assume you need to compute the joint relative frequency of a certain category inside a larger category.
Then there's the proportion of that specific category's frequency to the total frequency of that large category.
Given data;
The total number of persons polled:
⇒216 (26 + 84 + 72 + 34)
⇒216
The number of persons who own a smartphone is calculated as follows:
⇒26 + 72
⇒98
The relative frequency of those who own a smartphone is calculated as;
[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]
Hence,the relative frequency of those who own a smartphone will be 45%
2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.
Hence,option C is correct.
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The midpoint of AB is M(6,3). If the coordinates of A are (7,4) what are the coordinates of B?
Answer:
(6.5,3.5)
Step-by-step explanation:
(6+7)÷2=6.5
(3+4)÷2=3.5
Giving Brainlist Please Help!!!! Find the perimeter of the rhombus. Use the Pythagorean Theorem.
Answer:
Choice D, 20 inches.
Step-by-step explanation:
The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:
c = [tex]\sqrt{a^{2} + b^{2} }[/tex]
c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]
c = [tex]\sqrt{9 + 16}[/tex]
c = [tex]\sqrt{25}[/tex]
c = 5
The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.
Answer:
D. 20 in
Step-by-step explanation:
Finding the side of the rhombus :
side of the rhombus = √3² + 4²side of the rhombus = √9 + 16side of the rhombus = √25side of the rhombus = 5 inPerimeter :
4 x side length4 x 5 in20 inLet $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. if $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = 15$, what is the value of $a_1$?
giving brainliest>
Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, with the general [tex]n[/tex]-th term
[tex]a_n = a_1 + (n-1) d[/tex]
Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :
[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]
[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]
[tex]\implies 5a_1 + 20d = 17[/tex]
and
[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]
[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]
[tex]\implies 5a_1+25d= 15[/tex]
Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :
[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]
[tex]\implies 5a_1 = 25[/tex]
[tex]\implies \boxed{a_1 = 5}[/tex]
Find the midpoint M between V(3,7,-6) and W(-4,-8,7). Put your answer in the form (x,y,z)
Answer:
M(-1/2, -1/2, 1/2)
Step-by-step explanation:
To find the midpoint of a line segment, average the coordinates of the end points.
M = (A +B)/2
__
M = (V +W)/2
M = ((3, 7, -6) +(-4, -8, 7))/2 = (3-4, 7-8, -6+7)/2 = (-1, -1, 1)/2
M = (-1/2, -1/2, 1/2)
The midpoint between V and W is M(-1/2, -1/2, 1/2).
help me pls worth 50 points!!!!
Answer:
40 : 1
Step-by-step explanation:
40 miles / 1 hour = 40 : 1
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20
Which equation is equivalent to 4x+3 = 64?
O 2x+6=24
O 22x+6=26
O 42x+6 - 42
O 4X+3 - 46
Answer:
Answer is 2^2x+6=2^6 since it is equivalent to 4^x+3=64
The equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
The given equation is [tex]4^x^+^3=64[/tex]
Four to the power of x plus three equal to sixty four
x is the variable in the equation
We have to find the equivalent equation
We know that 2×2×2× 2×2×2 , 2⁶=64
[tex]4^x^+^3=2^6[/tex]
Now [tex](2^2)^x^+^3=2^6[/tex]
[tex]2^6^x^+^6=2^6[/tex]
Hence, the equivalent equation of [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.
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Identify the value of y and the length of each chord.
The length of the chord RT, PQ, and RS will be 5, 14, and 13. Then the correct option is C.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The graph is given below.
The ratio will remain constant. Then we have
y/10 = 4/8
y = 5
Then the length of PQ will be
PQ = 4 + 10
PQ = 14
Then the length of RS will be
RS = 5 + 8
RS = 13
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An exam consists of 10 multiple choice questions and 5 open response
questions. Students are responsible for answering 8 of the multiple choice ques-
tions and 3 of the open response questions. How many different ways can a
student complete the exam?
Answer:
I think it's 55
Step-by-step explanation:
10C3 + 5C3
Solve this:
Raj is 12m years old. His son was born when he was 9m years old.
(i) Find Raj's age 5 years later.
(ii) Find the sum of their ages in 5 years' time.
Answer:
i = 17 Years old
ii = 25 years
Step-by-step explanation:
i = 12 + 5 =17
ii = his son was born when he was 9, hes 12 now, so his sons 3. In 5 years time his sons 8 and hes 17, 8+17= 25
