Builder can build 7 one bedroom houses and 5 two bedroom houses.
What is consistent Equation?
A linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.
Let x represents the number of one-bedroom houses and y represents the number of two bedroom houses.
According to Question,
Total number of houses is 12 i.e. x + y = 12..........(i)
Total we have 88 windows in which 6 windows can be use in one bedroom house and 9 windows can be used in two bedroom house so,
6x + 9y = 88 ..................(ii)
From Equation (i) and (ii), we get
x = 7 and y = 5
Thus, Builder can build 7 one bedroom houses and 5 two bedroom houses.
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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.
The formula
K = 5/9 (F - 32) + 273.15 converts a Fahrenheit temperature to a Kelvin temperature. Solve the formula for F. Then find the Fahrenheit temperature for a Kelvin temperature of 310.15 K
Answer:
See below ~
Step-by-step explanation:
Solving for F
5/8 (F - 32) + 273.15 = K5/8 (F - 32) = K - 273.15F - 32 = 8/5 (K - 273.15)F = 8/5 (K - 273.15) + 32Finding F when K = 310.15 K
F = 8/5 (310.15 - 273.15) + 32F = 1.6 (37) + 32F = 59.2 + 32F = 81.2°FFind 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).
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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Can someone try to help me I’m trying to get to a 91
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]
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
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.
Jasmine deposited $700 in an account earning 9% interest compounded annually,
To the nearest cent, how much will she have in 1 year?
At the end of one year Jasmine will have the sum of $763
Calculation of interest rateThe principal amount (P)= $700
The interest rate(R) = 9%
The period of investment (T) = 1 year
Therefore simple interest
= P×T×R/100
= 700×1×9/100
= 6300/100
= $63
Therefore, the total amount she will receive at the end of a year = 700 + 63
= $763
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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
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
I "turly" know the answer is 1/3, its quite easy actually
Step-by-step explanation:
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.
will mark brainliest to whoever gets it right
Answer:
x = 74 degrees
Answer:
74 degrees
Step-by-step explanation:
Remember that CO interior angles equal to 180 degrees so what you need to simply do is do 180 minus 106 degrees giving you 74 degrees as your answer
An online store typically ships packages at a rate of 15 orders every 5 hours. At this rate, how many hours will it take to ship 156 orders?
Answer:
52 hours
Step-by-step explanation:
figure it out genius
An online store ships 15 orders every 5 hours. It will take approximately 52 hours to ship 156 orders at this rate.
Use the concept of ratio defined as:
A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x : y, which is equivalent to x/y.
Where x and y are individual amounts of two quantities.
And, the Total quantity is given after combining as x + y.
Given that,
Online store ships packages at a rate of 15 orders every 5 hours.
We need to determine how many hours it will take to ship 156 orders.
The rate can be expressed as 15 orders per 5 hours or 15/5.
To figure this out,
Set up a proportion.
If the online store ships 15 orders every 5 hours,
Then the rate is 15 orders per 5 hours, or 15/5.
Now, let's set up the proportion:
15/5 = 156/x
To solve for x, cross multiply:
15x = 5(156)
Now, divide both sides of the equation by 15 to isolate x:
x =780/15
Calculating that out, x is equal to 52.
Hence, it will take approximately 52 hours to ship 156 orders at the given rate.
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5. Graph the hyperbola ya
16
What are the equations of the asymptotes?
Answer: y = ± [tex]\frac{4}{3}x[/tex]
Step-by-step explanation:
Just believe it, it's the right one. I don't know how to explain it.
the area of paralellagram is 72 mm whats the height
The height of the parallelogram whose area is 72 mm² with a base of 9 mm is calculated as: 8 mm.
What is the Area of a Parallelogram?The area of a parallelogram = base × height of the parallelogram.
Given the following:
Area = 72 mm²Base of parallelogram = 9 mmHeight = ?9 × height = 72
Height of parallelogram = 72/9
Height of parallelogram = 8 mm.
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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
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
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.
Solve This please!
Divide twice the variable x by the summation of z and y.
Answer:
2x/z+y
Step-by-step explanation:
Find the zeros of the function.
y = (x + 1)(x − 3)(x - 6)
Find the minimum value of
\[\frac{x^2 + 9}{x}\]for $x > 0.$
I tried this but I didn't get it, could someone explain?
I hope this will help you a lot
Find the volume of this triangular prism. Be sure to include the correct unit in your answer. 7m 5m 9m? Thank u!!
[tex]How could you rewrite 0.05 x 10 as a division equation
Answer:
Step-by-this may be done by rearranging the equation. First, we start with the given equation:
0.05*10 = 0.5
In order to form a division equation, we may divide both sides by one of the terms being multiplied on the left-hand side. Let us divide by 10. By doing so, we get:
0.05 * 10 / 10 = 0.5/10
0.05 = 0.5/10ep
explanation:
Which statements about the design are true? select three options. each sprinkler head is placed more than 3 feet from the walkway. if two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered. the total area watered by each sprinkler is approximately 63.6 square feet. the total area watered by all the sprinklers is approximately 254 square feet. if the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
The statements about the design that are true are:
each sprinkler head is placed more than 3 feet from the walkwaythe total area watered by each sprinkler is approximately 63.6 square feet. the total area watered by all the sprinklers is approximately 254 square feet.How to explain the design?As we can see the distance from the sprinklers head to the walkway is more than one grid and length of one grid is 3 feet, so each sprinkler is placed more than 3 feet from the walkaway.
The radius of the area watered by each sprinkler = 1.5 grid = 1.5×3 = 4.5 feet. So area watered by each sprinkler = π×r² = (3.14)(4.5)² = 63.58 ≈ 63.6 feet². Area watered by one sprinkler = 63.6 feet², therefore total area covered by four sprinklers = 4×63.6 = 254 feet²
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Answer:
A&C&D
Step-by-step explanation:
Trust
PLEASE ANSWER PLEASEEEEEEEEE
Answer:
C
Step-by-step explanation:
11 | 2 means 112
A is wrong because 11 | 2 cannot mean 12.
B is wrong because stem with value 1 doesn't exist.
D is wrong because stems and leaves are not added to give real value.
Hope this helps!
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]
When 2(x+2y-x-1-2y+3) is simplified, what is the resulting expression?
X+
0 17 x + 2 y +6 plssss help
Answer:
4
Step-by-step explanation:
2x+ 4y -2x-2-4y+6
2x-2x+4y-4y-2+6
0+0+4
11
12
13
14
15
16
17
18
19
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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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 in