Answer:
8:12
2/3
Step-by-step explanation:
10^7/10^5 as a single exponent
A rental car company charges $77.50 per day to rent a car and $0.10 for every mile driven. Sydney wants to rent a car, knowing that:
Answer:
Step-by-step explanation:
answer: owen can afford to keep and drive the car for 4 days.
The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330. Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:
R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330
= $77.25d + $21 ≤ $330
This simplifies to $77.25d + $21 ≤ $330, or
$77.25d ≤ $309
Solving this by dividing both sides of the above equation by $77.25, we get
d = ($309)/($77.25) = 4
Which quadratic function is best represented by this graph?
A.) f(x)=x^2−6x−8
B.) f(x)=x^2−6x+8
C.) f(x)=x^2+8
D.) f(x)=x^2+6x+8
? Pick one graph
Step-by-step explanation:
There's no graph visible
f(x) is the same as y
Hope this helps!
What value for x is the solution to the following equation
10+2x-4
Answer:
-3
Step-by-step explanation:
10+2X-4= 0
2X= -10 + 4
2X = -6
X = -3
Given that the area of a rectangle is 4 2/3 in and the is 1 1/2 find the width
Answer:
3 1/9
Step-by-step explanation:
divide 4 2/3 and 1 1/2 together to find width
After multiplying a calculator screen displays the answer is shown below. How would you write this number in standard form? And say your answer in the box. Include commas in your answer.
*you’ll receive brainliest & 15 points for answer quickly & correctly!*
8,234 E14
Answer:
In standard from, the value will be 8.234 * 10^17
Step-by-step explanation:
The answer shown on the screen of the calculator after multiplying is;
8,234 E14
This is same as;
8,234 * 10^14
In the stands from, this will be;
8.234 * 10^3 * 10^14 = 8.234 * 10^17
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin’s work and find his error.
The sides of a pentagon measure 109.7 meters and the apothem is 75.5 meters. Find the area of the pentagon.
Answer:
20705.875
Step-by-step explanation:
Area of a pentagon is 1/2 * P * A p being the perimeter of the pentagon and a being the apothem. 1/2 * 548.5 * 75.5 equals 20705.875. I'm almost positive this is correct. So sorry if it's not. Have a good day/night!
Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain.
Yes.
The 3 cups of dark orange paint require
21
21 ounce(s) of red paint, and the 3 cups of light orange paint require
9
4.5 ounce(s) of red paint. Arnie needs
30
25.5 ounce(s) of red paint in total, so the 32-oz can is
enough.
(Type integers or decimals.)
b. Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need?
Arnie needs
4216
nothing ounce(s) of yellow paint. The 3 cups of dark orange require
3
3 ounce(s) of yellow paint, and the 3 cups of light orange require
391313
nothing ounce(s) of yellow paint.
(Type integers or decimals.)
Answer:
Integers and decimals
Step-by-step explanation:
Soorry im too lazy to read all this
Answer:
Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain.
▼
Yes.
No.
The 3 cups of dark orange paint require
nothing ounce(s) of red paint, and the 3 cups of light orange paint require
nothing ounce(s) of red paint. Arnie needs
nothing ounce(s) of red paint in total, so the 32-oz can is
▼
enough.
not enough.
Step-by-step explanation:
find the percentage increase in area of a triangle if its each side is doubled
First of all, to find the area of a triangle you multiply the base * height and divide the result by two (2).
Let's use a triangle which sides are all 2 inches. To find the area, you do 2*2/2 which equals 2.
Now, double each side and each side of the triangle is now 4.
We do 4*4/2 which now equals 8.
The percentage increase from 2 --> 8 is 600%.
The percentage of the old area to the new area is 800%
ANSWER: 600%
Which statement is not true about rational numbers. A.All integers are rational numbers B.Rational numbers include repeating and terminating decimals C. All numbers are rational numbers D.The number of pie is a rational number
Answer:
C. All numbers are rational numbers
Step-by-step explanation:
In mathematics, any number that can be stated in fraction form or ratios is said to be a rational number. This simply means that some numbers cannot be written in fraction form and so all numbers are not rational numbers.
Examples of rational numbers include terminating decimals, integers, repeating decimals and the fractions.
The other non-rational numbers are called irrational numbers, as they cannot be written in fraction form.
Find the value of
[tex]\\ \rm\Rrightarrow {6+log_{\frac{3}{2}}\left(\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\dots}}}\right)}[/tex]
Options are
[tex]\sf \circ -4[/tex]
[tex]\sf \circ 1[/tex]
[tex]\sf \circ 4[/tex]
[tex]\sf \circ 2[/tex]
Note:-
Kindly don't answer wrong if you don't know .
Spams/copied from web/short/wrong/irrelevant answers will be deleted on the spot .
Answer:
4
Step-by-step explanation:
Given,
[tex]6+log\frac{3}{2} (\frac{1}{3\sqrt{2} } \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} } ...} }[/tex]
Let,
[tex]x= \sqrt{4-\frac{1}{3\sqrt{2} }\sqrt{4-\frac{1}{3\sqrt{2} }\\[/tex]
By this we get
[tex]x=\sqrt{4-\frac{1}{3\sqrt{2} }(x) } }[/tex]
On squaring both sides,
[tex]x^{2} =4-\frac{1}{3\sqrt{2} }(x) } }\\\\x^{2} -4+\frac{x}{3\sqrt{2} } =0\\\\3\sqrt{2} x^{2} -12\sqrt{2} +x=0\\\\x=\frac{-1+\sqrt{1-(-12\sqrt{2})*(3\sqrt{2})*4 } }{2*3\sqrt{2} } \\\\x=\frac{-1+\sqrt{289} }{6\sqrt{2} } \\\\x=\frac{-1+17}{6\sqrt{2} } \\\\x=\frac{8}{3\sqrt{2} }[/tex]
Now,
[tex]6+log\frac{3}{2} [\frac{1}{3\sqrt{2} } *\frac{8}{3\sqrt{2} } ]+log\frac{3}{2} *[\frac{8}{9*2} ]\\\\6+log\frac{3}{2}(\frac{4}{9} )\\\\6-log\frac{3}{2}(\frac{9}{4} )\\\\6-log\frac{3}{2} (\frac{3}{2})^2 \\\\6-2=4[/tex]
[tex]\sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{4 - \dfrac1{3\sqrt2} \sqrt{\cdots}}}}[/tex]
Starting from the identity
[tex](x - y)^2 = x^2 - 2xy + y^2[/tex]
take the positive square root on both sides.
[tex]x - y = \sqrt{x^2 - 2xy + y^2}[/tex]
Note that we must have [tex]x\ge y[/tex]. Rewrite the radicand and substitute [tex]x-y[/tex].
[tex]x - y = \sqrt{x^2 - xy - y (x - y)} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}} \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y (x - y)}}} \\\\ ~~~~ \vdots \\\\ ~~~~ = \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{x^2 - xy - y \sqrt{\cdots}}}}[/tex]
Let [tex]y=\frac1{3\sqrt2}[/tex]. Solve for [tex]x[/tex].
[tex]x^2 - \dfrac x{3\sqrt2} = 4 \\\\ x^2 - \dfrac x{3\sqrt2} + \dfrac1{72} = \dfrac{289}{72} \\\\ \left(x - \dfrac1{6\sqrt2}\right)^2 = \dfrac{289}{72} \\\\ x - \dfrac1{6\sqrt2} = \pm \dfrac{17}{6\sqrt2} \\\\ x = \dfrac{18}{6\sqrt2} \text{ or } x = -\dfrac{16}{6\sqrt2} \\\\ x = \dfrac3{\sqrt2} \text{ or } x = -\dfrac8{3\sqrt2}[/tex]
Take the positive solution to ensure [tex]x>y[/tex]. Then the infinitely nested root expression in the logarithm converges to
[tex]x - y = \dfrac3{\sqrt2} - \dfrac1{3\sqrt2} = \dfrac{4\sqrt2}3[/tex]
and the overall expression has a value of
[tex]6 + \log_{\frac32} \left(\dfrac1{3\sqrt2} \times \dfrac{4\sqrt2}3\right) = 6 + \log_{\frac32} \left(\dfrac49\right) \\\\ ~~~~ = 6 + \log_{\frac32} \left(\dfrac23\right)^2 \\\\ ~~~~ = 6 - 2 \log_{\frac32} \left(\dfrac32\right) \\\\ ~~~~ = 6 - 2 = \boxed{4}[/tex]
You supervise a team of seven workers. You record the number of team members who reach
their production goal each day. For the past week, you record the following data: Monday 5
team members reached their goal; Tuesday 4 team members reached their goal; Wednesday 2
team members reached their goal; Thursday 7 team members reach their goal; Friday 3 team
members reached their goal. What was the average number of team members who reached
their goal per day?
Answer:
4.2 team members per day
Step-by-step explanation:
5 + 4 + 2 + 7 + 3 = 21
21/5 = 4.2
An average is the arithmetic mean of a set of observations. The average number of team members who reached their goal per day is 4.2.
What is Mean?An average is the arithmetic mean of a set of observations. it is given by the formula,
[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}[/tex]
As it is given that the Number of team members that reach their goal on the weekdays Monday, Tuesday, Wednesday, Thursday, and Friday are 5, 4, 2, 7, and 3 respectively. Therefore, the average number of team members who reached their goal per day can be written as,
[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}\\\\\\Average = \dfrac{5+4+2+7+3}{5} = \dfrac{21}{5}=4.2[/tex]
Thus, the average number of team members who reached their goal per day is 4.2.
Learn more about Average:
https://brainly.com/question/16967035
Find a and b if the point p(6,0) and Q(3,2) lie on the graph of ax+ by=12
to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})[/tex]
[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12[/tex]
An engineer sketches a design for a flashlight that uses a mirror in the shape of a parabola to maximize the output of the light. the function representing the mirror is graphed on the left. which function models the situation? f(x) = (x – 6)2 2 f(x) = –(x – 0)2 20 f(x) = 3(x – 6)2 2 f(x) = –3(x – 0)2 20
Function that models the situation is f(x) = 1/2(x-6)²+2.
What is a parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
Given parabola is of concave upward type.
So, the parabola will be of form f(x)=p(x-q)²+r....(1)
As vertices of parabola are (6,2)
So, we can put q=6 and r =2 in (1)
So, (1) becomes f(x) = p(x-6)²+2.....(2)
The y-intercept of the parabola is 20
This means, (2) becomes 20 = p(0-6)²+2
i.e. p = 1/2
So, function will be f(x) = 1/2(x-6)²+2
Therefore, function that models the situation is f(x) = 1/2(x-6)²+2.
To get more about parabola visit:
https://brainly.com/question/4148030
Does the fraction 1/2 make the equation +6/6=3/2 true?
Answer:
Yes
Step-by-step explanation:
1/2 + 6/6
= (1*3)/(2*3) + 6/6
= 3/6 + 6/6
= 9/6
= 3/2
So the fraction 1/2 make the equation true.
Let's check
[tex]\\ \rm\Rrightarrow 6/6+1/2[/tex]
[tex]\\ \rm\Rrightarrow 1+1/2[/tex]
[tex]\\ \rm\Rrightarrow 2+1/2[/tex]
[tex]\\ \rm\Rrightarrow 3/2[/tex]
Yes true
Fiona can type 60 words a minute. How many words can be typed in 10.5 minutes
Answer:
630
Step-by-step explanation:
Answer:
630
Step-by-step explanation:
1 minute = 60 words multiply everything by 10.5
10.5 minutes = 10.5(60) = 630 words
Can anyone please help me??
IN
-
Change this fraction to a decimal:
9
Answer: 9 over 10
Step-by-step explanation:
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
We know that:
9x + 4 and 3x + 16 are equivalent because of alternate inner angles.This means that:
[tex]9x + 4 = 3x + 16[/tex]Step-by step calculations:
Subtract 3x both sides.
[tex]9x + 4 = 3x + 16[/tex]⇒ [tex]9x - 3x + 4 = 3x - 3x + 16[/tex]⇒ [tex]6x + 4 = 16[/tex]Subtract 4 both sides.
⇒ [tex]6x + 4 = 16[/tex]⇒ [tex]6x + 4 - 4 = 16 - 4[/tex]⇒ [tex]6x = 12[/tex]Divide 6 both sides.
⇒ [tex]\frac{6x}{6} = \frac{12}{6}[/tex]⇒ [tex]x = 2[/tex]*Note that:-
9x+4= 3x+16 [Alternate interior angles]Using this equation we will solve for x and then find each angle...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex]9x + 4 = 3x + 16 \\ 9x + 4 - 3x = 16 \\ 9x - 3x = 16 - 4 \\ 6x = 12 \\ x = 2[/tex]
Now,[tex]\large{|\underline{\mathsf{\red{1}\blue{ ^{s} }\orange{^{t} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]
[tex] \pmb{9x + 4} \\ \pmb{9 \times 2 + 4} \\ \pmb{18 + 4} \\ \boxed{ \tt \: ∠1 = 22 \degree }[/tex]
[tex]\large{|\underline{\mathsf{\red{2}\blue{ ^{n} }\orange{^{d} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]
[tex] \pmb{3x + 16} \\ \pmb{3 \times 2 + 16} \\ \pmb{6 + 16} \\ \boxed{ \tt \: ∠2 = 22 \degree }[/tex]
Gordan was thinking of a number. Gordan adds 2 then divides by 3 to get an answer of 1. What was the original answer?
Answer:
1
Step-by-step explanation:
x is the number
x+2 is divided by 3
x+2 ÷ 3 =1
Multiple 3 on both sides
x=1
Solve forx in the literal equation -16 = xy + z.
Plzzzz help
Answer:
X=[tex]\frac{-16-Z}{Y}[/tex]
Step-by-step explanation:
XY+Z=-16
Subtract both sides by Z
XY=-16-Z
Divide both sides by Y
X=[tex]\frac{-16-Z}{Y}[/tex]
2x-8+3x+2=4x+10+3x-6 what is X equaled too?
answer and explain plz i am lost!!!
HELP ASAP
Answer:
Step-by-step explanation:
2x-8+3x+2=4x+10+3x-6
5x-6=7x+4
minus 7x from both sides, add 6 to both dies
-2x=10
divide by -2
x=-5
1/2% of 567.375 is what?
Answer:
2.837%
Step-by-step explanation:
1/2 ×567.375/100
therefore= 2.837%
I need help with this!
Answer:
B
Step-by-step explanation:
The slope is -1, which equals m= -1.
The answer is B.
Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.Find the constant of proportionality in terms of minutes per bracelet.
Answer:
The constant of proportionality is 5 minutes per bracelet
Step-by-step explanation:
If x and y are proportion, then y = k x, where
k is the constant of proportionalityWe can find k by dividing y by x ⇒ k = [tex]\frac{y}{x}[/tex]Let us solve our question
∵ Olivia is making bead bracelets for her friends
∵ She can make 3 bracelets in 15 minutes
We need to find the constant of proportionality in terms of minutes per bracelet, which means y represents the minutes and x represents the bracelet
∴ y = the time in minutes
∴ x = the number of bracelets
∵ y proportion with x
∴ k = [tex]\frac{y}{x}[/tex]
∵ y = 15 and x = 3
∴ k = [tex]\frac{15}{3}[/tex]
∴ k = 5
∴ The constant of proportionality is 5 minutes per bracelet
The right answer of this question is B or D
Find the measure of the missing angles
Answer:
b=119, and c=119
Step-by-step explanation:
this is because b+61 equal 180 degrees and b and c are congruent angles
which statement best represents the relationship in the scatterplot below?
Answer:
C. As the children's weight increased, their height decreased
Step-by-step explanation:
This is your answer becuse you can see here that the height is increasing as the weight is increasing
Thanks!
Mark me brainliest!
Examplelt: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm x 12 cm x 8 cm, how many bricks would be required?
Answer :
4167 bricks.Explanation :
Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.
Here,
[tex]{\qquad \dashrightarrow{ \sf{Length=10 \: m=1000 \: cm}}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{Thickness=24 \: cm}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{Height=4 m=400 \: cm}}[/tex]
Therefore,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: the \: wall = length \times breadth \times height}}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: the \: wall = 1000 \times 24 \times 400 \: {cm}^{3} }}}[/tex]
Now, each brick is a cuboid with Length = 24 cm, Breadth = 12 cm and height = 8 cm.
So,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: each \: brick = length \times breadth \times height}}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: each \: brick = 24 \times 12 \times 8 \: {cm}^{3} }}}[/tex]
So,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: bricks \: required = \dfrac{volume \: of \: the \: wall}{volume \: of \: each \: brick} }}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \dfrac{1000 \times 24 \times 400}{24 \times 13 \times 8} }}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \bf \: 4166.6} }}[/tex]
Therefore,
The wall requires 4167 bricks.