Answer:
are u sure the question is completed?
3x 2 - 29
The answer
Answer: -23
Step-by-step explanation:
Solve the equation
4y - 7 = 15
Justify your answer
[tex] \tt \dashrightarrow 4y - 7 = 15[/tex]
[tex] \tt \dashrightarrow 4y = 15 + 7[/tex]
[tex] \tt \dashrightarrow 4y = 22[/tex]
[tex] \tt \dashrightarrow y = \cancel{\dfrac{22}{4}}[/tex]
[tex] \tt \dashrightarrow y = \dfrac{11}{2}[/tex]
[tex] \tt \dashrightarrow y = 5.5[/tex]
[tex] \large \underline{\boxed{\bf{y = 5.5}}}[/tex]
Hence, value of y = 5.5.
Answer: y = 5 ½ or y = 5.5
Step-by-step explanation:
4y - 7 = 15
Add 7 to both sides of the equation.
4y = 22
Divide both sides by 4
y = 5.5
Substitute y in the original equation.
4(5.5) - 7 = 15
22 -7 = 15
True.
Write the quadratic equation and solve by using the general formula. "Find two consecutive numbers in which the double of the square of the smaller number plus the square of the greater number is 121"
Answer: 6 and 7
Step-by-step explanation:
Let the numbers be x and x + 1
We can form and equation as:
2(x²) + (x+1)² = 121
2x² + (x + 1)(x + 1) = 121
2x² + x² + x + x + 1 = 121
3x² + 2x = 121 - 1
3x² + 2x = 120
3x² + 2x - 120 = 0
3x² - 18x + 20x - 120 = 0
3x(x - 6) + 20(x - 6)
Therefore, x - 6 = 0
x = 0 + 6
x = 6
The numbers are 6 and 7
The two numbers given in the statement is required.
The two numbers can be [tex]6,7[/tex] or [tex]-\dfrac{20}{3},-\dfrac{17}{3}[/tex]
Quadratic equationLet [tex]x[/tex] be the first number
[tex]x+1[/tex] be the next consecutive number
From the statement we get
[tex]2x^2+(x+1)^2=121\\\Rightarrow 2x^2+x^2+2x+1=121\\\Rightarrow 3x^2+2x-120=0\\\Rightarrow x=\dfrac{-2\pm \sqrt{2^2-4\times3\left(-120\right)}}{2\times3}\\\Rightarrow x=6,-\dfrac{20}{3}[/tex]
If [tex]x=6[/tex]
the other number is [tex]x+1=6+1=7[/tex]
If [tex]x=-\dfrac{20}{3}[/tex]
the other number is [tex]x+1=-\dfrac{20}{3}+1=-\dfrac{17}{3}[/tex]
Learn more about quadratic equations:
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Pupils in a class were asked how they travel to school. The results were
recorded in the table below.
Car
13
Bus
6
Train
5
Walk
8
If a pupil in the class was picked at random, what is the probability
that one of them walked to school as a percentage?
2(4x+5)=9(3x+2)? I need help
Answer:
[tex]x=-\frac{8}{19}[/tex]
Step-by-step explanation:
2(4x + 5) = 9(3x + 2)
Solve for x
___________________
We have an alrebaric expressio and are asked to solve for x, which to do this, we need to isolate x.
2(4x + 5) = 9(3x + 2)
Distribute :
(2(4x) + 2(5)) = (9(3x) + 9(2))
8x + 10 = 27x + 18
Subtract 10 from both sides :
8x = 27x + 8
Subtract 27x from both sides :
-19x = 8
8 = -19x
Divide both sides by -19 :
[tex]x=-\frac{8}{19}[/tex]
Please hep I really need this answered
Answer: D) 1/32
Step-by-step explanation:
A coffee mug has a diameter of 8 centimeters. What is the mug's
circumference?
Use 3.14 for n.
centimeters
Submit
Answer:
25.12 cm
Step-by-step explanation
circumfernce=3.14n
c=3.14·8
c=25.12
Find the total number of outcomes if Johnny can choose between 6 pair of pants, 5 shirts, and 4 belts
Question 10 options:
A. 120
B. 40
C. 360
D. 15
Answer:
I believe it would be A 120 sorry if I'm wrong
Antonia currently has $4,500 in her
savings account. She saves $150 per
month. Cal currently has $3,400 in his
account. He saves $250 per month. How
much more money than Antonia will Cal
have after 12 months?
Answer:
The amount of more money than Antonia that Cal will have in his account after 12 months is $100
Step-by-step explanation:
The given parameters are;
The amount Antonia currently has in her savings account, P₁ = $4,500
The amount Antonia saves per month, S₁ = $150
The amount Cal currently has in his savings account, P₂ = $3,400
The amount Cal saves per month, S₂ = $250
Let the
The amount, 'A₁', Antonia has in 12 months is given as follows;
A₁ = P₁ + 12 × S₁
∴ A₁ = $4,500 + 12 × $150 = $6,300
Similarly, the amount, 'A₂', Cal has in 12 months is found as follows;
A₂ = P₂ + 12 × S₂
∴ A₂ = $3,400 + 12 × $250 = $6,400
The amount of money than Antonia that Cal will have after 12 months, 'A₂₋₁', is given as follows;
A₂₋₁ = A₂ - A₁ = $6,400 - $6,300 = $100.
The amount of money than Antonia that Cal will have after 12 months, A₂₋₁ = $100.
(1+tan^2 A)cot A/cosec^2 A= tanA
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
1 + tan²A = sec²A , secA = [tex]\frac{1}{cosA}[/tex], cosecA = [tex]\frac{1}{sinA}[/tex] , cotA = [tex]\frac{cosA}{sinA}[/tex] , tanA = [tex]\frac{sinA}{cosA}[/tex]
Consider the left side
[tex]\frac{(1+tan^2A)cotA}{cosec^2A}[/tex]
= [tex]\frac{sec^2AcotA}{cosec^2A}[/tex]
= [tex]\frac{\frac{1}{cos^2A}(\frac{cosA}{sinA}) }{cosec^2A}[/tex]
= [tex]\frac{\frac{1}{cosAsinA} }{\frac{1}{sin^2A} }[/tex]
= [tex]\frac{1}{cosAsinA}[/tex] × sin²A
= [tex]\frac{sinA}{cosA}[/tex]
= tanA = right side , thus proven
8.5×7/2 ____
please
3 A garage is to be built with a skillion roof (a roof with a single
slope). The measurements are given in the diagram. Calculate
the pitch line length, to the nearest millimetre. Allow 500 mm
for each of the eaves.
Answer:
1e1e
Step-by-step explanation:
The pitch line length of the garage with the skillion roof, with the given dimensions and eave overhangs, is approximately 7.5 meters.
To calculate the pitch line length for the garage with a skillion roof, we need to consider the dimensions provided in the diagram and add the eave overhangs.
Let's assume the length of the garage is L meters, and the height from the top of the walls to the peak of the roof is H meters.
Calculate the pitch line length of the roof:
The pitch line length is the diagonal length of the triangular roof face. We can use the Pythagorean theorem to find it.
Pitch Line Length (PL) = √(L² + H²)
Add the eave overhangs:
The eave overhang is 500 mm on each side, so we need to add 1 meter (1000 mm) to the pitch line length.
Total Pitch Line Length (TPL) = PL + 1000
Now, let's calculate the pitch line length to the nearest millimeter.
For example, let's assume L = 6 meters and H = 2.5 meters.
Calculate the pitch line length (PL):
PL = √(6² + 2.5²)
PL = √(36 + 6.25)
PL = √42.25
PL = 6.5 meters
Add the eave overhangs:
TPL = 6.5 + 1
TPL = 7.5 meters
To know more about length
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Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.
Answer:
You would receive $510.08 in return.
Step-by-step explanation:
In order to find the answer, you can use the formula to calculate the future value:
FV=PV*(1+i)^n
FV=future value
PV= present value= 500
i= interest rate=0.03/12=0.0025 per month
n= number of periods of time= 8
Now, you can replace the values in the formula:
FV=500*(1+0.0025)^8
FV=500*(1.0025)^8
FV=510.08
According to this, the answer is that you would receive $510.08 in return.
Answer:
I think it is $15
Step-by-step explanation:
Taking the test now.
find the two numbers having sum is 31 and product is 192
Answer:
24 and 8
Step-by-step explanation:
solve by trial and error
192/8 = 24
24+8 = 32
What is 6q+4-q+5 equals tooo PLEASE I REALLY NEED HELP THIS IS DUE TODAYY
Answer:
5q+9
Step-by-step explanation:
1. combine like terms
6q-q=5q and 4+5=9
2. combine those two
5q+9
The triangles are similar. Find the missing side.*
- 36
- 25
- 29
Step-by-step explanation:
[tex] \frac{30}{6} = \frac{x}{5} \\ x = 25[/tex]
3x + 16
djfjdjdjfjdwjjd
Answer:
3x+16=0
x=-16/3
is your answer
Answer:
3x+16= 125 answer is 109/3
Step-by-step explanation:
D is the 4th letter of the alphabet and u have 5 d which means 4×5=20(repeat the same step for the other letters
J is 10thh so 7×10=70
Next letter is F, you have 2 f's
F is the 6th letter of the alphabet
6×2=12
W which is the the last letter we have to do here is the 23rd letter of the alphabet and u have 1 so 23×1 is 23
A construction crew is lengthening a road. The crew is adding 6 miles to the road each week. The road originally measured 52 miles long. The crew's goal is given by 6x+52>130, where x is the number of weeks the crew works.
6x + 52 > 130
Subtract 52 from both sides:
6x > 78
Divide both sides by 6:
X > 78/6
X > 13
i need help answering this question: 9 × +7
Answer:
9×7=63
the answer is 63
PLEASE HELP ME
Solve the system by adding or subtracting.
3x + y = 32
3x − 2y = 17
The solution of the system is
Step-by-step explanation:
-(3x+y=32)
3x-2y=17
-3x-y=-32
3x-2y=17
-3y=-15
y=5
3x+(5)=32
-5. -5
3x=27
x=9
Answer:
x=9
y=5
Answer:
x = 9
y = 5
Step-by-step explanation:
3x + y = 32...(1)
3x - 2y = 17....(2)
multiplying equation (1) by 2 we get,
6x + 2y = 64...(3)
Adding eq(2) and (3) we get,
6x + 2y = 64
+ 3x - 2y = 17
----------------------
9x. = 81
therefore, x = 81/9
therefore, x = 9
substituting value of x in eq( 1)
3 * 9 + y = 32
27 + y = 32
y = 32 - 27
y = 5
Tenley wants to exercise at least 15 hours per week. She walks at a speed of three miles per hour and bikes at a speed of 10 miles per hour. She wants to cover at least 90 miles total in her weekly workouts, biking no more than 10 hours and walking no more than 12 hours.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of hours spent on walking and let y represent the number of hours spent on biking.
Tenley wants to exercise at least 15 hours per week, therefore:
x + y ≥ 15 (1)
Tenley cover at least 90 miles total in her weekly workout, therefore:
3x + 10y ≥ 90 (2)
x ≤ 12, y ≤ 10 (3)
Plotting the above constraints using geogebra online graphing tool. The solution to the problem is:
(5, 10) , (12, 10), (12, 5.4), (8.57, 6.43)
Which property of addition is used in the expression?
0.5+ (0.4+0.8) = (0.5 +0.4) + 0.8
Answer:
associative property
Step-by-step explanation:
because it involves grouping
I need help with the last three
is anyone able to help please!
Answer:
4480ft³
Step-by-step explanation:
formula: V=⅓Bh (B- base) (h-hight)
B=L×W, B=17.5×32= 560
h=24ft
V=⅓(L×W)h
V=⅓(560)24
V=⅓(13440)
13440÷3=4480ft³
4(r-9)= -60 help plz
Answer:
-6
Step-by-step explanation:
What is the value of x in simplest radical form?
Answer:
x =97
Step-by-step explanation:
perpendicular (p) = 65
base (b) = 72
hypotenuse (h) = ?
We know by using Pythagoras theorem
h = √p² + b²
= √ 65² + 72²
= √9409
= 97
Someone pleaseee help meeee
Ill tell you the answer if u mark me brainliest
Answer:
A. 9
Step-by-step explanation:
y2 - y = m(x2 - x) formula
7 - -2/ -6 - -7 = m
9/1 = m
9 = m
The equation would have a slope of 9.
Movie ticket sales are as follows: Adult: 20 tickets for $250 Child: 15 tickets for $71.25 Senior: 5 tickets for $37.50 How much does one (1) SENIOR ticket cost?
Answer:
$7.5
Step-by-step explanation:
you just divide 37.50 by 5 to get the price of an individual senior ticket price
What is 5+5x3+4x6x9x2x2+45
Answer:
929
Step-by-step explanation:
5 + 5x3 + 4x6x9x2x2 + 45 =5 + 15 + 864 + 45 =92980% of the games were won.
v out of 40 games were won.
8
32
40
Answer:
32
Step-by-step explanation:
80/100 = .8
.8 x 40 = 32 games won
Answer:
32
Step-by-step explanation:
80% of the games were won.
v. out of 40 games were won
Take 80% and divide it by 100
80%/100 = 0.8
Now multiply it by 40.
0.8 * 40 = 32