Answer:
47.5%
Step-by-step explanation:
3.8/8.0 x 100
= 47.5%
Uncle Jack used 47.50 percent of the wood he cut to create the shelf.
What is the percentage?The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.
Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,
P = (3.8 / 8) x 100
P = 0.475 x 100
P = 47.50%
The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ7
Question
Which expression is equivalent to 5x2 – 18x + 9?
O (5x - 1)(x – 9)
O (5x – 9)(x + 1)
O (5x – 3)(x - 3)
O (5x + 3)(x - 3)
Answer:
(5x – 3)(x - 3)
Step-by-step explanation:
Break the expression into groups
[tex]=\left(5x^2-3x\right)+\left(-15x+9\right)[/tex]
Factor out
[tex]=x\left(5x-3\right)-3\left(5x-3\right)[/tex]
Factor out common terms
[tex]=\left(5x-3\right)\left(x-3\right)[/tex]
Hence, Answer is (5x-3)(x-3)
~Lenvy~
The expression which is equivalent to 5x² - 18x + 9 is (5x – 3)(x - 3).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
5x² - 18x + 9
We have to find the equivalent expression of this.
We have to factor this.
Using quadratic formula,
x = -(-18) ± √[(-18)² - (4 × 5 × 9)] / (2 × 5)
= (18 ± √144) / 10
= (18 ± 12) / 10
x = 3 and x = 3/5
So the expression can be factored as
(x - 3)(x - 3/5) = 0
(x - 3)(5x - 3) = 0
Hence the correct option is (5x – 3)(x - 3).
Learn more about Equivalent Expressions here :
https://brainly.com/question/27911936
#SPJ2
what is equivalent to 2
x
2
−
7
x
−
3
=
0
Answer:
I'm confused with this, I dont understand what you are asking.
Step-by-step explanation:
2 is equivalent with a lot of things,
1+1
3-1
92-90
7×7-47
4÷2
the list goes on...
3x²+5xy=–4
xy–2x=—3
[tex]solve simultinously[/tex]
[tex]xy - 2x = - 3[/tex]
[tex]xy = 2x - 3[/tex]
____________________________________________
[tex]3 {x}^{2} + 5xy + 4 = 0[/tex]
[tex]3 {x}^{2} + 5(2x - 3) + 4 = 0[/tex]
[tex]3 {x}^{2} + 10x - 15 + 4 = 0[/tex]
[tex]3 {x}^{2} + 10x - 11 = 0[/tex]
[tex]delta = {10}^{2} - 4(3)( - 11)[/tex]
[tex]delta = 100 + 132[/tex]
[tex]delta = 232[/tex]
Thus;
[tex]x = \frac{ - 10 + \sqrt{232} }{6} \: \: or \: \: x \frac{ - 10 - \sqrt{232} }{6} \\ [/tex]
[tex]x = \frac{ - 10 + 15.23}{6} \: \: or \: \: x = \frac{ - 10 - 15.23}{6} \\ [/tex]
[tex]x = \frac{5.23}{6} \: \: or \: \: x = \frac{ - 25.23}{6} \\ [/tex]
[tex]x = 0.8716 \: \: or \: \: x = - 4.205[/tex]
____________________________________________
If x = 0.8716 then :[tex]0.8716 \: y = 2(0.8716) - 3[/tex]
[tex]0.8716 \: y = 1.7432 - 3[/tex]
[tex]0.8716 y= - 1.2568[/tex]
[tex]y = \frac{ - 1.2568}{0.8716} \\ [/tex]
[tex]y = - 1.4419[/tex]
And if x = - 4.205 then :[tex] - 4.205 \: y = 2( - 4.205) - 3[/tex]
[tex] - 4.205 \: y = - 8.410 - 3[/tex]
[tex] - 4.205 \: y = - 11.410[/tex]
[tex]y = \frac{ - 11.410}{ - 4.205} \\ [/tex]
[tex]y = 2.7134[/tex]
And we're done
Have a great day ♡
What is the area in polynomial form
Answer:
[tex] \orange{ \boxed{ \sf{ ( \: {x}^{2} + 11x + 18 \: ) \: sq. \: units}}}[/tex]
Solution :
Area = lenght x widthLenght = x + 9
Width = x + 2
[tex] \sf \green{area \: = \: (x + 9)(x + 2)} \\ \sf \green{ = \: { {x}^{2} + 11x + 18}} [/tex]
Answer:
[tex]x^2+11x+18\: \sf(square\:units)[/tex]
Step-by-step explanation:
To use the area model of solving multiplication and division problems, calculate the area of each of the colored rectangles and add them together.
Area of a rectangle = Length × Width
Area of blue rectangle: [tex]x \times x = x^2[/tex]
Area of pink rectangle: [tex]x \times 9 = 9x[/tex]
Area of green rectangle: [tex]2 \times x=2x[/tex]
Area of orange rectangle: [tex]2 \times 9=18[/tex]
Area of entire rectangle = blue + pink + green + orange
= [tex]x^2+9x+2x+18[/tex]
= [tex]x^2+11x+18\: \sf(square\:units)[/tex]
Eric bought 8 pounds of flour for $5. How many pounds of flour did he get per dollar? If necessary, round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
8 pounds of flour = 5 dollars
1 pound of flour = x
Cross multiply
8x = 1*5 Divide by 8
8x/8 = 5/8
5/8 = 0.625
Therefore x = 0.625 dollars will buy 1 pound of flour.
Rounded x = 0.63
Help help help help help hel
Answer:
12
Step-by-step explanation:
P = 8
Q = 16
The value of PQ = 16 - 8 = 8
Since M is the midpoint of PQ,
PM = MQ
PM + MQ = PQ
PM + PM = PQ
2 PM = 8
PM = 8 / 2
PM = 4
The value of M
= 8 + 4
= 12
Answer:
M = 12
Step-by-step explanation:
If you want to find the midpoint between the numbers 8 and 16, follow the simple steps below.
First, add the two numbers: 8 + 16 = 24
Secondly, divide the total by 2: 24/2 = 12
The midpoint between 8 and 16 is 12.
hope this helps!! p.s. i really need brainliest :)
Need answer ASAP will give BRAINLEST
Please put a full answer thank you
Dylan purchased a new car in 1993 for $26,300. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $2,700 in the year 2001, then what would be the predicted value of the car in the year 2006, to the nearest dollar?
The predicted value of the car in the year 2006 to the nearest dollar would be $651.
What is the predicted value of the car?The first step is to determine the rate of depreciation
g = (FV/PV)^(1/n) - 1
Where:
FV = value of the car in 2001
PV = value of the car in 1993
n = number ofyears = 8
(2700/26,300)^(1/8) - 1 = -24.76%
Now determine the value of the car in 2006
2700x ( 1 - 0.2476)^5 = $651
To learn more about depreciation, please check: https://brainly.com/question/25552427
please help me I will mark BRAINLIEST
Answer:
See attached diagram
a) Points shown in blue
b) correlation is negative since the y-values decrease as the x-values increase.
c) Line of best fit needs to have the same number of points above as below.
Find x on the triangle geometry please help
Answer:
[tex]\sf x=7\sqrt{6}[/tex]
Step-by-step explanation:
As the base angles of the triangle are the same, then the legs of the right triangle are also equal. Therefore, we can use Pythagoras' Theorem to calculate x.
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of the right triangle)
Given:
a = 7√3b = 7√3c = xSubstituting the given values into the formula:
[tex]\sf \implies (7\sqrt{3})^2+(7\sqrt{3})^2=x^2[/tex]
[tex]\sf \implies147+147=x^2[/tex]
[tex]\sf \implies x^2=294[/tex]
[tex]\sf \implies x=\sqrt{294}[/tex]
[tex]\sf \implies x=\sqrt{49 \cdot 6}[/tex]
[tex]\sf \implies x=\sqrt{49}\sqrt{6}[/tex]
[tex]\sf \implies x=7\sqrt{6}[/tex]
[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow cos45=\dfrac{7\sqrt{3}}{x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{2}}=\dfrac{7\sqrt{3}}{x}[/tex]
[tex]\\ \rm\Rrightarrow x=7\sqrt{3}\sqrt{2}[/tex]
[tex]\\ \rm\Rrightarrow x=7\sqrt{6}[/tex]
1. If Frank has 2 times as many dimes as quarters and they have a combined value of 180 cents, how many of each coin does he have?
d=
q=
2. If Sam has 3 times as many dimes as quarters and they have a combined value of 330 cents, how many of each coin does he have?
d=
q=
If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19
Answer: 25
Step-by-step explanation:
The debate team has 2 members. Each member sold c coupon books as a fundraiser. Write
an expression that shows the number of coupon books the club sold.
A European swallow flies about 14 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly
km.
A sailboat leaves St. Thomas bound for an island in the British West Indies, 200 miles away. Maintaining a constant speed of 18 miles per hour, but encountering heavy crosswinds and strong currents, the crew finds after 4 hours that the sailboat is off course by 15°.
(a) How far is the sailboat from the island at this time?
(b) Through what angle should the sailboat turn to correct its course?
(c) How much time has been added to the trip because of this? (Assume that the speed remains at 18 miles per hour.)
The distance of the sailboat from the island at this time will be 131.78 miles.
How to calculate the distance?The distance of the sailboat from the island will be calculated by using the law of cosines. This will be:
a² = (18 × 4) + 200² - (2 × 72 × 200 cos 15°)
a² = 72 + 200² - (144 × 200 cos 15°)
a = 131.78 miles.
The angle that should be used by the sailboat to correct its course will be:
= 180° - (sin 15°/131.78)
= 180° - 22.95°
= 157.05°
Learn more about distance on:
https://brainly.com/question/17273444
2) Jose bought a magazine for $10 and some erasers for $2 per eraser. He spent a total of $26. How many erasers
he buy?
I can solve it i just need to know the equation with X
Look at this square. Find the value of t.
Answer:
t = 2
Step-by-step explanation:
The perimiter is the lenth of the out side of the square. Sense we know its a square we know that the side lenth are all the same and sense we have 4 sides we would have to devide 8 by 4
8/4
which equals
t=2
Answer:
Step-by-step explanation:
Perimeter of square:
Perimeter = 4*side
[tex]\boxed{Side =\dfrac{Perimeter}{4}}[/tex]
[tex]t=\dfrac{8}{4}[/tex]
t = 2 yards
Solve the equation for y.
2x + 5y = 5
y=25x+1
y=−10x+25
y=−25x+1
y=25x+5
Answer: C
Step-by-step explanation:
[tex]2x+5y=5[/tex]
[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]
[tex]2x+5y-2x=5-2x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]5y=5-2x[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\bf{y=-\frac{2}{5}x + 1}[/tex]
E D 1389 xo С 76.2° B А Find the value of x. O 38.1 O 30.9 69 O 61.8
Based on the intersecting secants theorem, the value of x is: B. 30.9°
What is the Intersecting Secants Theorem?The intersecting secants theorem states that when two secants intersect, the measure of the angle they form is half the difference of the intercepted arcs.
Thus, based on the intersecting secants theorem, we would have the following:
x = 1/2(138 - 76.2)
x = 1/2(61.8)
x = 30.9°
Learn more about intersecting secants theorem on:
https://brainly.com/question/1626547
How many quarts are in 9 gallons?
Answer:
1 gallon = 4 quarts
4 × 9 = 36
36 quarts are in 9 gallons
Which of the following would describe Slope?
A Rise/Run
B The rate of change
C The steepness of a line
D All of the above
Answer:
Rise/Run (A)
Step-by-step explanation:
The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. On the graph that would be a change in the y values. Run means how far left or right you move from point to point.
Vicki started jogging. The first time she ran, she ran mile. The second time, she ran mile, and the 516 58 15 16 third time, she ran 16 mile. If she continued this pattern, when was the first time she ran more than 1 mile? Complete the explanation Express the fraction as a mixed number in simplest form. mile(s) every new time she ran. Therefore, the ? time, Vicki had a pastem of adding she ran milles
Answer:
Afar fom what i've got from another question on Brainly. I might be wrong but It could Possibly be The 6th Time Vicki Runs!
Step-by-step explanation:
I apologise if this isnt the answer..............
This practice contains 15 questions. If you get 3 incorrect, what will your percent grade be? Hint: Grades are based on correct questions/total questions.
A. 30%
B. 0.8%
C. 20%
D. 80%
Answer:
D. 80%
Step-by-step explanation:
15-3 = 12
12/15 = 4/5 = .8
80%
I’m stuck pls help me
Answer:
B and E
Step-by-step explanation:
how many feet is the answer?
Answer:
1023 feet
Step-by-step explanation:
Sandy brought 6 1/4 dozen cookies to the bake sale. Alejandro brought 1 3/4 fewer cookies than Sandy brought. Pierre brought 2 3/4 dozen fewer cookies than Alejandro brought. How many dozen cookies did Pierre bring?
Answer: 4 1/2 doezen cookies
Step-by-step explanation: just subtract. Hope this helps.
please help i'm asking to help the second time hope someone sees this I'll give 10 points and brainliest I promise
2. i) 1/2 × x
x/2
ii) 1/5 × x
x/5
iii)1-(1/2+1/5)
1- (5/10+2/10)
10/10- 7/10
3/10
3/10×x
3x/10
3. i)15× $p
15p
ii) cost for 4 bananas= $g
cost for 1 banana = $g÷4
cost for 16 bananas = $g/4 ×16
=$g×4
=4g
iii)
Cost for an orange= $p
Cost for 5 oranges = 5×$p
Cost for 1 banana= $g÷4
Cost for 2 bananas = 2× ($g÷4)
Add both of the expressions to get the total cost for 2 bananas and 5 oranges.
(2×$g÷4)+(5×$p)
($g×2/4)+(5×$p)
2/4 can be simplified as 1/2
g×1/2+5p
(g/2)+5p
Hope this helps!
draw a model of 1/2 ÷ 4 pls don't say I cant draw it or something I DONT GET IT THEN BUT IF YOU CANT DRAW IT PLS EXPLAIN GOOD! URGENT!!!
Answer:
try using a pie chart and split the division up in the pie, look to internet for images for an example
Step-by-step explanation:
Answer:
The answer is 3.1
Step-by-step explanation: 1/2 ÷ 4 would go like 4-1/2=2.8 then do it again 2.5-1/2=1.3 then do it once more 1.3 ÷ 1/2= 0.1 so the overall answer is 3.1. Your welcome!
Triangle ABC is isoceles and has a perimeter of 20cm.Sides AB and AC are each twice as long as BC. Calculate the length of the side BC
Answer:
length of the side BC=4
Step-by-step explanation:
length of the side BC = x
length of the side AB = 2x
length of the side AC = 2x
x + 2x + 2x = 20
5x=20
x=4
BC = 4
AB=8
AC=8
8+8+4=20
Find the value of the expression.
Answer:
0
Step-by-step explanation:
((3/5 ^0)^-2)
3/5^0=0
0^-2= 0