Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
✿————✦————✿————✦————✿
:
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:
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✿————✦————✿————✦————✿
pa brainliest kung ayaw, edi wag** char
The volume of this rectangular prism is 72 in³. What is the missing measurement for c?
What is the length of the shipping carton?
Enter your answer in the box.
c = in
[tex]\huge\fbox\purple{ANSWER} [/tex]
[tex] \mathsf\pink{v = l \times w \times h}[/tex]
[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]
[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]
[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]
[tex] \mathsf \pink{6in = c}[/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
➣Given➣shipping carton basically shape is rectangular prism type➣its volume (shipping carton)=72in²➣its height =3in➣its width = 4in➣ assumption :- length "c"[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Let's substitute values according to given info[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Hence "c" (length) of Rectangular prism (shipping carton) is
[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]
Hope it helps !
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
Its A
Step-by-step explanation
just trust me
A four sided sandbox has exactly 2 right angles to side lengths 5 feet what geometric shape as described shape of the sandbox
Answer:
The sandbox is most likely in the shape of a kite. As it has only two right angles, it cannot be a square or other form of rectangle. It also cannot be a parallelogram, which has no right angles, nor is it a rhombus- all four sides are not of the same length.
A kite, however, has two pairs of equal-length sides that are adjacent to each other. It also has two sets of equal-measure angles, one of which can be 90° if it is a cyclic kite.
Solve and show your work for each question.
(a) What is expressed as a fraction in simplest form?
(b) What is expressed as a fraction in simplest form?
(c) What is expressed as a fraction in simplest form?
The value of 0.36 when converted to a fraction in the simplest form is 9/25.
How to calculate fractions in simplest form?Your information is incomplete. Therefore, an overview will be given. It should be noted that a fraction is in its simplest form when the numerator and denominator are prime.
From example, let's convert 0.36 to a fraction on its simplest form. This will be:
0.36 = 36/100 = 9/25
In conclusion, 0.36 is 9/25 in the simplest form.
Learn more about fractions on:
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For exercises 4–9, find the value of x. round to the nearest tenth.[
Answer:
Step-by-step explanation:
where is exercise 4-9?
or at least give us the equation
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
What is probability distribution?Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.
Probability distribution score: 1, 2, 3, 4, x probability: p(x) 0.06, 0.20, 0.48, 0.26In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.
Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
Learn more about the probability distribution here;
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Answer:
C on edge
Step-by-step explanation:
3
What is the volume of a sphere with a diameter of 7.5 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
V≈220.89cm³
Step-by-step explanation:
Answer: 220.9
4/3 π(3.75)^3=220.9
Find the value of a. Round your answer to the nearest tenth. B 10 77.5 A C 7.9
Answer:
[tex]\displaystyle 11,3[/tex]
Step-by-step explanation:
Use the Law of Cosines to find the length of the third edge:
Solving for Angles
[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]
Use [tex]\displaystyle cos^{-1}[/tex]towards the end or you will throw your result off!
Solving for Edges
[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]
Take the square root of the final result or it will be thrown off!
Let us get to wourk:
[tex]\displaystyle 10^2 + 7,9^2 - 2[10][7,9]\:cos\:77,5 = a^2 \hookrightarrow 100 + 62,41 - 158\:cos\:77,5 = a^2 \hookrightarrow \sqrt{128,212541} = \sqrt{a^2}; 11,323097677... \\ \\ \boxed{11,3 \approx a}[/tex]
I am joyous to assist you at any time.
Put the following items in order from most expensive to least expensive. Item Base Price Change Direction Blender $29. 73 9% Markdown Hat $14. 16 77% Markup Ink $20. 17 27% Markup Heater $28. 46 22% Markdown a. Blender, heater, ink, hat b. Blender, ink, hat, heater c. Ink, hat, blender, heater d. Ink, heater, blender, hat.
Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
What is Markup and Markdown?Markup is the amount that will be increased in the original price of the considered thing.
Markdown is the amount that will be decreased from the original price of the considered thing.
Think of "up" and "down" as increasing and decreasing prices respectively.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, the base prices and the chage in price is given as:
Item Base Price Change Direction
Blender $29.73 9% Markdown
Hat $14.16 77% Markup
Ink $20.17 27% Markup
Heater $28.46 22% Markdown
Calculating the resultant price:
Case 1: Blender:Resultant price = 29.73 - 9% of 29.73
[tex]P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}[/tex]
Case 2: Hat:Resultant price = 14.16 + 77% of 14.16
[tex]P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}[/tex]
Case 3: Ink:Resultant price = 20.17 + 27% of 20.17
[tex]P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}[/tex]
Case 4: Heater:Resultant price = 28.46 - 22% of 28.46
[tex]P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}[/tex]
Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
Learn more about percent here:
https://brainly.com/question/11549320
Mayrin has rectangular rug with an area of 36 square feet. The area is represented by the equation f(x)= x2 + 5x – 36 and this rug is 5 feet longer than it is wide. What are the dimensions of the rug?
Answer:
B) width = 4 ft
length = 9 ft
Step-by-step explanation:
Area = 36 ft²
Let width = x
⇒ length = x + 5
Area of a rectangle = width × length
⇒ 36 = x(x + 5)
⇒ x² + 5x - 36 = 0
⇒ x² + 9x - 4x - 36 = 0
⇒ (x² + 9x) + (-4x - 36) = 0
⇒ x(x + 9) - 4(x + 9) = 0
⇒ (x + 9)(x - 4) = 0
⇒ x = -9, x = 4
As distance is positive, x = 4 only
Therefore,
width = x = 4 ft
length = x + 5 = 4 + 5 = 9 ft
PLEASE PLEADE HELP!!
Hello and Good Morning/Afternoon:
Let's take this step-by-step:
By looking at this diagram:
[tex]\hookrightarrow \text {angle C is 45 degrees, angle A is 90 degrees}[/tex]
[tex]\hookrightarrow \text{We know that the sum of all the angles is 180 degrees in a triangle}[/tex]
[tex]a + b + c = 180\\90 + b + 45 = 180\\b + 135 = 180\\b = 45[/tex]
[tex]\hookrightarrow \text {Therefore angle B is also 45 degrees}[/tex]
With all these angles' measures:
⇒ we have a 45-45-90 triangle
⇒ which has some special properties (look at the diagram attached)
Based on the diagram:
[tex]\hookrightarrow \text{the longest side/ hypotenuse (BC)} = \text{ length of leg (AC)} * \sqrt{2} =14\sqrt{2}[/tex]
Answer: [tex]14\sqrt{2}[/tex]
Hope that helps!
#LearnwithBrainly
Solve. k + 6 > 19
A.
k < - 13
B.
k > 25
C.
k > 13
D.
k < - 25
Answer:
k > 13
Step-by-step explanation:
[tex]k+6 > 19\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k > 13\:\\ \:\mathrm{Interval\:Notation:}&\:\left(13,\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]k+6-6 > 19-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]k > 13[/tex]
Thus, the answer is k > 13
[RevyBreeze]
You and your friend buy a bag of assorted fruit that contains 3 apples, 5 oranges, and 2 bananas. You each randomly choose a piece of fruit and eat it. What is the probability you both will get a banana?
HELP PLS I BEGGING :=))))))))
Answer:
28 inches
Step-by-step explanation:
[tex]P = 2(l+w)[/tex]
[tex]P=2(9+5)[/tex]
[tex]P=2(14)[/tex]
[tex]P=28[/tex]
1/2x12divided by 2-2 +11= what?
Answer:
The answer is 12
Step-by-step explanation:
1/2x 12 = 6
6/2-2+11 = 12
The final answer is 12
Mia and Carlos are hiking on a trail where they start 16 miles apart. If Mia can average 2.3 miles per hour while hiking and Carlos can average 2.5 miles per hour. How long will it take for them to meet up?
Answer:
I'm not sure but if this is on a calculus paper, this may put you on the right track?
Step-by-step explanation:
definate integral from 2.3 to 2.5 would equal 3.2, i don't know what to do with that information but i hope that helps you.
A square is cut in half and the diagonal creating two equal triangles of each triangle has an area of 4.5 in.² what is the length in inches of the original square
Which number is the smallest?
A. 817.9
B. 871.003
C. 817.1
D. 817.099
Answer:
D.
Step-by-step explanation:
817.099 is the smallest
please give brainliest
Which expression is equivalent to 6(3h + g) ?
Group of answer choices
9h + g
18h + 6g
9h + 6g
18h + g
Answer:
18h × 6g is equivalent to 6(3h + g)
because 6 x 3 = 18 and 6 x 1 = 6
simplify 10 to the square root
Answer: 10
Step-by-step explanation: that is the answer because you can not simplify it any further
Find volume of rectangular prism shown here. 1.5 cm 2cm 8cm
Answer:
24 cm³
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the area of the base by the height. V=lwh. V=(1.5)(2)(8)=24 cm³
Answer:
the answer should be 24
Step-by-step explanation:
1.5 x 2 = 3
3 x 8 = 24
V = L x W x H
V = 1.5 x 2 x 8
Which answers describe the shape below? Check all that apply.
A. Square
B. Trapezoid
C. Quadrilateral
D. Parallelogram
E. Rhombus
F. Rectangle
Answer:
The answers are C, D, and F
Step-by-step explanation:
Question 1
1 pts
Use the GSS file to investigate whether or not Americans use the Internet at least 7
hours per week (estimating an hour per day). Perform the One Sample T Test
procedure (as presented in SPSS Demonstration 1) to do this test with the variable
WWWHR. Do the test at the .01 significance level. What is the T [1]?
Put 40 in the
The computation of the significance level shows that the p-value is less than 0.01 and the conclusion is that Americans use the internet more than 7 hours weekly.
What is a significance level?It should be noted that the significance level simply means the probability that an event occured by chance.
From the complete question, it can be noted that at 0.01 significance level, the t statistic is 17.873 and the degree of freedom is 539.
The p-value for the right tailed test is 0. Therefore, since the p value is less than 0.01, we will reject the null hypothesis. The conclusion is that Americans use the internet more than 7 hours weekly.
Learn more about significance level on:
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What is 3x + 2y = 12 (show your work)
Answer:
y = (-3/2)x + 6
Step-by-step explanation:
3x + 2y = 12
2y = -3x + 12
÷2 ÷2 ÷2
y = (-3/2)x + 6
Slope: (-3/2)
Y-intercept: (0,6)
I hope this helps!
please help: Simplify 6÷(4-2)+4
Answer:
7
Step-by-step explanation:
6/(2)+4
3+4
7(BODMAS)
But if you use calculator it we give you
5
The height of a building in a drawing is 15 inches at the actual height of the building is 165 feet find the scale factor of the drawling
165 ft / 15 inches = 11
scale = 1 inch = 11 feet
which is written as 1:11
Please help! will give brainlest! locks in 30 min!
find the sum of first 40 terms of 11+14+17+...
Answer:
S₄₀ = 2780
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
14 - 11 = 17 - 14 = 3
this indicates the sequence is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 11 and d = 3 , then
S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]
= 20( 22 + 117)
= 20 × 139
= 2780
What are the prime numbers between 2010 and 2020
Answer: 99%
Step-by-step explanation:
I don’t really understand this please help me.
Answer:
Top question) 12
Bottom question) 16
Step-by-step explanation:
top) you can fit 6 in the bottom of a 3x2 box if the smaller boxes are only 1 cubic foot and since it's also 2 feet high you can also fit another 6 which in total equals 12.
bottom) you can fit 8, 1 cubic foot boxes, in a larger box thats 4x2 and since it's also two feet tall you can fit another 8 in making 16 fitting in the larger box
Hope this helps! pls mark brainliest