Answer:
2x+9=12x-21
-2. -2
9=10x -21
+21 +21
30=10x
Divide by 10 on both sides
30/10
x=3
Step-by-step explanation:
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:
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.
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
math question screen shot ( multiple choice)
Answer: A, C, and E
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:
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!
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.
Any help plzzzz i would appreciate it
Answer:
AC=13.5
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
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
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
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:
The equation below describes a parabola. If ais negative, which way does the
parabola open?
Answer:
Downwards
Step-by-step explanation:
Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.
What is the mean of the following numbers?
15, 10, 7, 12
A
15
B
11
10
D 12
the mean is 11, meaning the answer choice is B right?
Answer:
11
Step-by-step explanation:
plz mark me brainliest
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.
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
Part 2/2 6-10
Im so tired and staring at a bright screen gives me a headache =/
Answer:
Step-by-step explanation:
the first 1 is lamarck
the second one is 1,3,4
then last one is the 4th one
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.
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]
You put $550 in an account that
earns 2.5% annual interest
compounded quarterly. In how many
years will you have $1200?
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]
Polynomial question,
What is the perimeter and area of the rectangle?
Width: (2-3x)
Length: (2x+5)(x-1)
Answer:
Look at the attachment
(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)
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
help !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
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
Please help. I don't understand.
Which equation represents a nonproptional relationship
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]
A car travels at a constant speed for 45 minutes. During this time the car goes
48 miles. If the car continues at this same constant speed, write an equation that
models the number of miles, m, it will travel in t hours?
How far will the car travel in 7 hours ?
Answer:
IDK
Step-by-step explanation:
Answer: 308
Step-by-step explanation:
sorry if wrong............
