Answer:
Step-by-step explanation:
8x + 10y = 30
12x + 15y = 60
-24x - 30y = -90
24x + 45y = 120
15y = 30
y = 2
8x + 20 = 30
8x = 10
x = 10/8
x = 5/4
(5/4, 2)
An architect created a scale model of a building that was to be built.
Using a scale factor, how tall will the actual building be?
15 ft
60 ft
105 ft
135 ft
The scale factor is 15 because the width of the actual building is 15 times bigger than the model building.
So the length will be...
7*15 = 105 ft
answer: 105 ft
Marco is going to a local fair. He spends $5 on admission to the fair. He wants to go on rides that cost $0.75 per ride. Write an inequality and solve it to find the maximum number of times Marco can go on the ride if he wants to spend at most $35
Answer:
(35-5) / 0.75 = amount of times he can ride.
30/0.75 = 40
Does this help?
Step-by-step explanation:
Find the area of the irregular figure. Round your answer to the nearest hundredth if necessary.
Answer:
Step-by-step explanation:
Area of the figure = Area of semicircle + area of rectangle
Area of semicircle:
d = 14 mm
r = 14/2 = 7 mm
Area = (1/2)πr²
[tex]=\frac{1}{2}*\frac{22}{7}*7*7\\[/tex]
=11 *7
= 77 mm²
Area of rectangle:
length = 14 mm
Width = 10 mm
Area = length *width
= 14 * 10
= 140 mm²
Area of the figure = 77 + 140 = 217 mm²
Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?
Answer:
multiply 42 m by 1.41 = 59.22
59.22 x 59.22 = 3507.0084
3507 = 3 billion
59.22 x 20 = 1 billion
Step-by-step explanation:
(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)
For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 4 pennies into his bank, how many pennies does Tara put into her bank?
Answer:
bruh its 16 pennies
Step-by-step explanation:
1 penny from same=4 pennies from tara
multiply both sides by 4
sam puts in 4 pennies and tara puts in 16
1x4=4
4x4=16
Complete A,B for 2,3 for 12 points
See Explanation
Step-by-step explanation:
1)
[tex] d = r. t\implies r = \frac{d}{t} \\
d = r. t\implies t = \frac{d}{r} \\[/tex]
2).
[tex] C = 2\pi.r\implies r = \frac{C}{2\pi} \\
C = 2\pi.r\implies \pi = \frac{C}{2r} \\[/tex]
Answer:
2.
A. r=d/t
B. t=d/s(r)
3.
A. r=c/2(pi)
B. (pi)=c/2r
Step-by-step explanation:
Pretty easy once you have mastered Algebra and Geometry.
In triangle XYZ,
XY · cosY = XZ · cosZ.
Which of the following must be true about 4XYZ?
(a) It is a right triangle.
(b) It is an obtuse triangle.
(c) It is an acute triangle.
(d) It is an isosceles triangle.
(e) It is an equilateral triangle.
Help me, I need a step by step solution ASAP
Answer:
a)
[tex]x=-1\\x=-\frac{3}{4}[/tex]
b)
[tex]x=\frac{11}{6}[/tex]
Step-by-step explanation:
[tex]Formula: x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]
[tex]a)-4x^2+7x-3=0[/tex]
a= -4
b= 7
c= -3
[tex]x=\frac{-(7)\frac{+}{}\sqrt{(7)^2-4(-4)(-3)} }{2(-4)}[/tex]
[tex]x=\frac{-7\frac{+}{}\sqrt{49-48} }{-8}[/tex]
[tex]x=\frac{-7\frac{+}{}\sqrt{1} }{-8}[/tex]
[tex]x=\frac{7\frac{+}{}1 }{-8}[/tex]
------------------------------
[tex]x=\frac{7+1 }{-8}=\frac{8}{-8}=-1[/tex]
or
[tex]x=\frac{7-1 }{-8}=\frac{6}{-8}=-\frac{3}{4}[/tex]
------------------------------
[tex]b)36x^2-132x+121=0[/tex]
a= 36
b= -132
c= 121
[tex]x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-132)\frac{+}{}\sqrt{(-132)^2-4(36)(121)} }{2(36)}[/tex]
[tex]x=\frac{132\frac{+}{}\sqrt{17424-17424} }{72}[/tex]
[tex]x=\frac{132\frac{+}{}\sqrt{0} }{72}[/tex]
[tex]x=\frac{132\frac{+}{}0 }{72}[/tex]
------------------------------------------------
[tex]x=\frac{132}{72}[/tex]
[tex]x=\frac{132/6}{72/6}=\frac{22}{12}=\frac{11}{6}[/tex]
Rewrite the expression with a positive rational exponent simpmplify if possible 8^-5/3
Answer:
Step-by-step explanation:
hello : here is an solution
Choose the function that is graphed below
A. Y=9^x
B. Y=3*3^x
C. Y=3^x
Answer:
B
Step-by-step explanation:
Please help me I’m terrible at math.
Answer:
A) 200,000*0.75%=1500*100=150,000
B) 150,000 will be the birds population in 100 years
A rectangular prism. A rectangle has a base of 7 inches and height of 3 inches. Another rectangle has a base of 7 inches and height of 4 inches. Another rectangle has a base of 7 inches and height of 5 inches. 2 triangles have a base of 3 inches and height of 4 inches. What is the area of one of the triangular faces? in.2
Answer:
6 in.2Step-by-step explanation:
please help as soon as possible
Answer:
22
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
To find the mean you have to do the sum of all of the numbers divided by the number of days there are (in this case there are 5: Monday, Tuesday, Wednesday, Thursday, and Friday)
So,
23 + 18 + 24 + 15 + 25 = 105
Then,
105/5 = 21
Evaluate 2x + 5y for x = 12 and y = 6.
Answer:
54
Step-by-step explanation:
2x + 5y
Let x=12 and y = 6
2(12) + 5(6)
24+30
54
Answer:
54
Step-by-step explanation:
2x + 5y ( x = 12) ( y = 6)
2 ( 12 ) + 5 ( 6 )
24 + 30
= 54
To make a model volcano that actually erupts, Tomo mixes chemicals using the recipe
shown.
He makes three batches of fake lava, each containing a different amount.
Drag numbers to show how much of each ingredient Tomo should use in each batch of
fake lava.
1/2 of the mix is baking soda
2/5 of the mix is vinegar
1/10 of the mix is dish soap
Answer:
What i added is the correct answer
Step-by-step explanation:
Simplify, using the distributive property and then combining like terms. 2(x+y)+(2x−2y)
Answer:
4x
Step-by-step explanation:
[tex]2(x + y) + (2x - 2y) \\ = 2x + 2y + 2x - 2y \\ = 2x + 2x + 2y - 2y \\ = 4x + 0 \\ = 4x[/tex]
For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = 4?
One-eighth
One-half
2
32
Answer:
2
Step-by-step explanation:
The equation is p = 8/v.
If p = 4, then p = 4 = 8/v
Inverting both sides, we get
1/4 = v/8
Multiplying both sides by 8, we get:
2 = v
If the value of p is 4, then the value of V will be 2. Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
p = 8/V
If the value of p is 4, then the value of V will be
4 = 8 / V
V = 8 / 4
V = 2
Then the correct option is C.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
A straight line is drawn through the intersection of the two diagonals of a parallelogram. Prove that it exactly divides the parallelogram into two equal parts by area.
Answer:
Area of rectangle APQB = Area of rectangle DPQC
Where:
PQ is the line passing through the intersection of the diagonals of the parallelogram ABCD
Step-by-step explanation:
Here we note that a parallelogram is a quadrilateral with the two opposite sides equal, therefore, the diagonals each divides the parallelogram
Given the parallelogram ABCD with a point of intersection of the two diagonals = O
We are to prove that a line PQ passing through O divides the parallelogram into two equal parts;
The diagonals of a parallelogram bisect each other hence
OA = OC and OB = OD
Also ∠AOB = ∠COD (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOB ≅ ΔCOD (SAS congruence rule)
Area of ΔAOB = Area of ΔCOD
In ΔAOP and ΔCOQ, we have;
∠PAO = ∠QCO (alternate interior angles of a parallel line)
OA = OC (as above)
∠AOP = ∠QOC (vertically opposite angles at the crossing of the diagonals)
∴ ΔAOP ≅ ΔQOC
Area of ΔAOP = Area of ΔQOC
From which we have by similarity;
ΔBOQ ≅ ΔPOD
Area of ΔBOQ = Area of ΔPOD
Hence area of rectangle APQB = Area of ΔQOC + Area of ΔCOD + Area of ΔPOD = Area of ΔAOP + Area of ΔAOB + Area of ΔBOQ
∴ Area of rectangle APQB = Area of rectangle DPQC there proved as required.
Gregor is planting pea plants in his backyard. Some of the plants are tall and the rest are short. Some of the plants are yellow and the rest are green. The numbers of different plant types are in the ratio\[\text{Tall green}:\text{Tall yellow}:\text{Short green}:\text{Short yellow} = 8:5:2:1.\]If there are 1080 green plants, then how many total plants are in Gregor's yard?
Answer:
1728.
Step-by-step explanation:
It is given that The numbers of different plant types are in the ratio
Tall green:Tall yellow:Short green:Short yellow = 8:5:2:1.
Let the numbers of Tall green, Tall yellow, Short green:, Short yellow are 8x, 5x, 2x, x respectively.
Number of green plants [tex]=8x+2x=10x[/tex]
It is given that there are 1080 green plants.
[tex]10x=1080[/tex]
[tex]x=108[/tex]
Number of total plants [tex]=8x+5x+2x+x=16x[/tex]
[tex]16x=16(108)=1728[/tex]
Therefore, total plants are in Gregor's yard is 1728.
Harper just drank a cup of coffee to help her stay awake. The coffee had 140 milligrams of caffeine in it. If her body processes 5% of the caffeine every hour, how much will be left in 8 hours?
Answer:
84 milligrams of caffeine
Step-by-step explanation:
5% of 140 is 7, and if its 5% every hour then you take away 7 for every hour, if there are 8 hours then its 7*8=56. You then subtract that number from 140 which is equal to 84
Which equation has no solition
Answer:
Inconsistent equations: No solutions
For instance, 3=3 is a identity equation. A equation like 3=5 is a conflicting equation, since 3 isn't equivalent to 5. On the off chance that during the time spent tackling a equation you end up with a conflicting equation (accepting you didn't commit an error), at that point the first condition has no arrangements.
Step-by-step explanation:
Find the least common denominator (LCD) of
3
7
and
5
8
Answer:
56
Step-by-step explanation:
7 is a prime number
7*8 = 56
The least common denominator is 56
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
Answer:840
Step-by-step explanation:
Determine if these matrices are inverses by
calculating AB
B
12
AB =
LC21 C22
C12 =
C11 =
021
C22 =
inverses of one
So the matrices
another
Answer:
Now calculate BA:
d11= 1
d12= 0
d21= 0
d22= 1
Based on these results, you can conjecture that multiplying a matrix by its inverse IS COMMUTATIVE
Step-by-step explanation:
Egde
Find the greatest common factor of 16m^3 and 20a^4.
Answer:
4
Step-by-step explanation:
16 m^3 =4*4 * m^3
20 a^4 = 4*5*a^4
The greatest common factor is 4
Answer:
4
Step-by-step explanation:
16m³: 2⁴ × m³
20a⁴: 2² × 5 × a⁴
GCF: 2² = 4
Math lovers helpppppppppppppppppppppppppppppppppp. I'll mark you the brainlest
Answer:
12.6 = RU
Step-by-step explanation:
Using trig functions
Sin theta = opp/ hyp
sin 37 = RU/ RN
sin 37 = RU / 21
21 sin 37 = RU
12.63811549 = RU
To the nearest tenth
12.6 = RU
In the figure, angle D measures 31° and angle A measures 27°.
Answer:
Well, if the figure is a triangle than the missing side would be 122 degrees, if it is a square, then it would be 302 degrees.
Step-by-step explanation:
Hope this helps!
Is this statement true or false?
An automobile with an automatic transmission does not have a clutch pedal to change gears while driving.
true
false
Polynomial question,
What is the perimeter and area of the rectangle?
Width: (2-3x)
Length: (2x+5)(x-1)
Answer:
Look at the attachment
Find the area of the trapezoid.
4 cm
7 cm
3 cm
3 cm
Answer:
35 square cm
Step-by-step explanation:
[tex]area \: of \: trapezoid = \frac{1}{2} (3 + 4 + 3) \times 7 \\ = \frac{1}{2} \times 10 \times 7 \\ = 5 \times 7 \\ = 35 \: {cm}^{2} [/tex]
