What is the value of `x` in the solution of the system of equations?`3x-2y=6``\ \ x+2y=10`
Answer:
x = 4
Step-by-step explanation:
3x - 2y = 6 → (1)
x + 2y = 10 → (2)
add (1 ) and (2) term by term to eliminate y
(3x + x) + (- 2y + 2y) = 6 + 10 , that is
4x = 16 ( divide both sides by 4 )
x = 4
There are 14 white cabbages and x purple cabbages in a box.
A cabbage is selected at random.
The probability of taking a white cabbage from the box is 0.56.
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
Given:
14 = number of white cabbagesx = number of purple cabbagesP(W) = 0.56⇒ total number of cabbages = 14 + x
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
[tex]\sf \implies P(W)=\dfrac{number \ of \ white \ cabbages}{total \ number \ of \ cabbages}[/tex]
[tex]\sf \implies 0.56=\dfrac{14}{14+x}[/tex]
[tex]\sf \implies 0.56(14+x)=14[/tex]
[tex]\sf \implies 7.84+0.56x=14[/tex]
[tex]\sf \implies 0.56x=6.16[/tex]
[tex]\sf \implies x=11[/tex]
A circle has a radius of 9 cm and a sector of the circle has an arc length of 9. 7cm
Answer:
S = R θ where θ is in radians
If θ = 2 pi then S = 2 pi R the circumference of the circle
θ = S / R = 9.7 / 9 = 1.08 rad
Since 1 rad = 360 / (2 pi) = 57.3 deg
the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg
Find the sine ratio for ∠D.
a. 7/25
b. 24/7
c. 25/24
d. 24/25
Answer:
sin ∠D = 24/25
Step-by-step explanation:
sin = opposite / hypotenuse
Looking at ∠D, the opposite side is 24, hypotenuse is 25
Therefore sin = 24/25
Solve the following proportions
Answer:
[tex]6.5 \times 12.4 = 40.3 \: m \\ \frac{80.6}{40.3} = 2[/tex]
Find the measure of angle GHI.
Answer:
119 is correct answer.
Step-by-step explanation:
angle GHI+90+151=360 (being complete turn angle)
angle GHI =360-119
angle GHI =119
What is the square root of 81
Answer: 9
Step-by-step explanation:
9*9 = 81
Answer:
9
Step-by-step explanation:
9*9=81
Find the equation to graph when 5x-4<0
Hey there!
5x-4<0
=> 5x < 0 + 4
=> 5x < 4
Divide both sides by 5
=> 5x/5 < 4/5
=> x < 4/5
x < 0.8
Graph in image
One of the acute angles in a right triangle measures 62°. What is the measure of the other acute angle in the triangle?
Answer: 28 degrees
Step-by-step explanation:
In a right triangle, the two acute angles are complementary, so the other acute angle measures 90-62=28 degrees.
Dion bought 3 pounds of oranges and 2 pounds of grapefruit . Write an expression to represent the amount of money Dion spent on fruit. Then evaluate the expression. How much did Dion Spend?
Fruit Prices: Lemons : $0.79
Oranges : $ 0.99
Limes : $ 1.09
Grapefruit : $ 1.59
The expression to represent the amount of money Dion spent on fruit is 3x + 2y.
The amount of money Dion spent is $6.15
How to represent mathematical expression?Expression are numbers, symbols and operators grouped together that show the value of something.
Dion bought 3 pounds of oranges and 2 pounds of grapefruit.
The expression to represents the amount of money Dion spent on fruit is as follows:
let
x = cost of each pounds of oranges
y = cost of each pounds of grapefruit
Therefore,
total cost = 3x + 2y
Let's evaluate the expression
total cost = 3(0.99) + 2(1.59)
total cost = 2.97 + 3.18
total cost = 6.15 dollars
Therefore, Dion spent $6.15
learn more on expression here: https://brainly.com/question/8807956
WILL GIVE BRAINLIEST.
Part A: The area of a square is (16x^2 + 24x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x^2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Part A: (4x+3) (4x+3)
Part B: 4 (x+y) (x-y)
(If this is not the answer you are looking for, sorry)
Step-by-step explanation:
Part A: (16x²+24x+9)
FOIL
(4x + 3) (4x +3) = 16x²+24x+9
(4x) (4x) = 16x²
(4x) (3) = 12x
(4x) (3) = 12x
12x + 12x = 24x
(3) (3) = 9
Part B: (4x²-4y²)
4 (x² - y²)
You have to factor it completely
4 (x + y) (x - y)
(Make sure to use FOIL to double check)
i need help. please
Answer:
[tex]V=\pi r^2h=\pi *6^2*19[/tex] ≈ [tex]2148.8[/tex]
Let me know if you found this helpful! It means a lot!
solve pls brainliest
Answer:
No, No, Yes, Yes, Yes.
Step-by-step explanation:
A integer is a whole number. 1, 2, 3, etc.
Answer:
Only -46 is an integer number and others are not.
Step-by-step explanation:
An integer is a whole number but not a fractional number that can be positive, negative, or zero.
In this chart -46 is an integer cause it is a whole number and -1/2, 57.68, 24/6, 9/3 are not integers cause they are a fraction.
please show your work and no links
and please do the one that are blank
Answer:
its blury
Step-by-step explanation:
ST is parallel to RU in the figure. What is m<3 if m<1 =49
Answer:
49
Step-by-step explanation:
M<1 = M<2 - Corresponding angles are congruent
M<2 = M<3 - Vertical angles
Answer:
6) 49°
7) 30°
Step-by-step explanation:
6)Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.
∠3 = 49° . . . . . . . same as ∠1
__
7)Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.
5x +x = 180°
x = 180°/6 = 30°
a = 30° . . . . . . . . same as x
You pay 3. 5% annual simple interest for 12 years on a loan and you pay $1512 in interest. How much is the principal
Answer:
P = $1,064.79
Step-by-step explanation:
the equation we will use is P = A / (1 + rt), where P=principle, A=amount payed, r=rate(interest), and t=time. first convert the rate into a decimal (0.035) and then plug in the numbers into the equation P = 1512 / ( 1 + (0.035 × 12)) = 1064.79
PLEASE HELP ME IM NOT GOOD AT MATH
Veronica rolls a six-sided die 28 times.
How many times should she expect the die to land on an even number?
Enter your answer as a number, like this: 42
Answer:
14
Step-by-step explanation:
There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.
Can someone explain this to me?
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. scale factor =
The scale factor when a triangle of 8cm side is enlarged to a triangle of 64cm side is 8.
Side of the first triangle = 8cm
Side of the second triangle = 64cm
What is a scale factor?A scale factor is a number by which the size or dimension of an object is enlarged or diminished.
For example, if an equilateral triangle with a side x is dilated by a scale factor of 2, the enlarged size of the side will be 2a.
So, scale factor = side of the second triangle/ corresponding side of the first triangle.
Scale factor = 64/8
Scale factor = 8
Therefore, The scale factor when a triangle of 8cm side is enlarged to a triangle of 64cm side is 8.
To get more about scale factor visit:
https://brainly.com/question/2826496
Answer:
8 I did the assignment
Step-by-step explanation:
Math homework, thanks
Answer:
X=79
Step-by-step explanation:
180-135=45
45+56=101
180-101=79
200 divided by 5 what is the answer
Answer:
40
Step by Step:
200/5 = 40
I AM BEGGING. PLEASE HELP
Answer:
84cm³Step-by-step explanation:
Volume of the right triangular prism:
Note: V=l*w*h
L=3cm
W=4cm
H=7cm
Then, multiply.
3*4*7=84
84cm³
Therefore, the correct answer is 84cm³.
I hope this helps you! Let me know if my answer is wrong or not.
The sides of a square are 12 feet long. Find the new side
length after it is increased by 40%.
Answer:
16.80 ft long
Step-by-step explanation:
p-p-p-q-q-q =?
its urgent
Hey there!
Let's combine like terms:
p-p-p-q-q-q
p-p-p=-p
-p-p-q-q-q
-p-3q
Remember, like terms are from the same "family"
So p's are from the p family, and q's are from the q family.
Hope everything is clear.
Let me know if you have any questions.
#LearningDoesn'tEnd
the temperature is falling at rate of 3 degrees per hour. if the temperature at 12 midnight is "-2°c," what will be the temperature at 5:00 am
Answer:
- 17° C
Step-by-step explanation:
the temperature falls at 3° per hour
midnight → 5.00 am is 5 hours , then
5 × - 3 = - 15 ← falls 15° in the 5 hours
temperature at 5..00 am = - 2 - 15 = - 17° C
Answer:
-17
Step-by-step explanation:
as it is falling by three so at 5am it will reach -17
i need helppppppppppppppppppppppppppppppppppppppp
Find the value of x for which ABCD must be a parallelogram.
is x+4 a factor of P(x)=4x^2-4x+8?
Answer:
(x^3-2x^2-4)*(x+2)
Step-by-step explanation:
Please help me answer this question on congruent triangles. 30 points
Answer:
h = 24 cm
Step-by-step explanation:
Let [tex]x[/tex] = height of ΔCBD
Let [tex]h[/tex] = height of ΔABE
As ΔABE ~ ΔCBD then AE : CD = [tex]h[/tex] : [tex]x[/tex]
Given:
AE = 20 cmCD = 10 cm[tex]\implies 20 : 10 = h : x[/tex]
[tex]\implies \dfrac{20}{10}=\dfrac{h}{x}[/tex]
Cross multiply:
[tex]\implies 20x=10h[/tex]
Simplify:
[tex]\implies 2x=h[/tex]
As we are told that [tex]x+h=36 \ \sf cm[/tex]
[tex]\implies h=36-x[/tex]
Equate the two equations for [tex]h[/tex] and solve for [tex]x[/tex]:
[tex]\implies 2x=36-x[/tex]
[tex]\implies 3x=36[/tex]
[tex]\implies x=12[/tex]
Since [tex]h=2x[/tex] then
[tex]\implies h=2 \cdot 12[/tex]
[tex]\implies h=24 \ \sf cm[/tex]
X= 15+yx+2y =51solve the system using elimination
Answer:
Im not going to give u an answer, but i will help u get the answer.
Step-by-step explanation:
there is a algebra problem solver called symbolab it really helps