Answer:
-$12
Step-by-step explanation:
Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.
63+75+9+41+85-285= -$12
Omar's gas tank is 1/3 full. after he buys 9 gallons of gas, it is 5/6 full. How many gallons can Omar's tank hold?
Answer:
18 gallons
Step-by-step explanation:
First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.
Evaluate expression-What is the value of the expression when x=11 and y=7
A.4
B.128
C.49
D.14
Answer:
C. 49
Step-by-step explanation:
Start by filling in your values.
[tex]7^{2} + 99 / 11 - 9[/tex]
Solve using PEMDAS.
49 + 99 / 11 - 9
49 + 9 - 9
58 - 9
49
Answer:
[tex]c .\: \: 49[/tex]
Step-by-step explanation:
[tex] {y}^{2} + 99 \div x - 9[/tex]
[tex] {7}^{2} + 99 \div 11 - 9[/tex]
[tex] 49 +99÷11-9[/tex]
[tex]49+9-9[/tex]
[tex]58-9[/tex]
[tex]49[/tex]
Hope it is helpful...A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?
Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.
=====================================
Work Shown:
area = base*height
area = 16*7
area = 112 square cm
----------------
Extra info (optional section):
The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.
Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.
Help please! I really need it
In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern
A. All the numbers are odd
B.all the numbers are even
C.all the numbers are multiplies of 3
D. All of the numbers are prime
[tex]\sqrt \frac{256}{4\\}[/tex]
Answer:
8
Step-by-step explanation:
[tex]\sqrt{\frac{256}{4} }[/tex]
[tex]\sqrt{\frac{16*16}{2*2} }[/tex]
[tex]\sqrt{(\frac{16}{2})^2 }[/tex]
square and root gets cancel . so ,
[tex]\frac{16}{2}[/tex]
8
If 24 - 2x = 19 + 3x, then x =
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
Please I need help with this!!!!!!!
Answer:
Step-by-step explanation:
1). Step 4:
[tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]
[tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]
[tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]
Step 5:
[tex]x=\sqrt[3]{(5)^3\times 5}[/tex]
[tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
[tex](3x-1)^{\frac{1}{5}}=2[/tex]
Step 1:
[tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]
Step 2:
[tex](3x-1)=2^5[/tex]
Step 3:
[tex]3x=32+1[/tex]
Step 4:
[tex]x=11[/tex]
4). By substituting [tex]x=11[/tex] in the original equation.
[tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]
[tex]=(2^5)^\frac{1}{5}[/tex]
[tex]=2[/tex]
There is no extraneous solution.
1). Step 4:
x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31
x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a
x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5
Step 5:
x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5
x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
(3x-1)^{\frac{1}{5}}=2(3x−1)51=2
Step 1:
(3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215
Step 2:
(3x-1)=2^5(3x−1)=25
Step 3:
3x=32+13x=32+1
Step 4:
x=11x=11
4). By substituting x=11x=11 in the original equation.
(3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51
=(2^5)^\frac{1}{5}=(25)51
=2=2
There is no extraneous solution.
List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).
What Quadrant would the following numbers be in:
-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right
A) 80/140 is the portion that describes the book readers over all people surveyed
B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.
that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie
C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city
Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?
Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
What is division?A method of dividing something into equal parts is called division.
How to solve this problem?Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.
Edgar wants to make 90 tortillas.
We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.
1 bunch of 15 tortillas needs 2 cups of masa.
So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.
Again 1 bunch of 15 tortillas needs 1.5 cups of water.
So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.
Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
Learn more about division here -
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Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
According to the question
Monique goes out for coffee once per week.
She has already spent $40.86 this year on her coffees and each one is $4.54.
There are 27 weeks left in this school year for Monique.
If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:
Based on the given conditions
[tex]40.86 + 27 \times 4.54[/tex]
By using PEDMAS rule, first we have to multiply 27 and 4.54
= [tex]40.86 + 122.58[/tex]
By using PEDMAS rule, first we have to add 40.86 and 122.58
= [tex]163.44[/tex]
Thus, $163.44 money will she have spent on coffee by the end of the year.
Find out more information about PEDMAS rule here
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pa help po............. ............
Answer:
ΔABC
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
ΔXYZ
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
ΔNOR
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;
In triangle ΔABC, we have;
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
In triangle ΔXYZ, we have;
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
In triangle ΔNOR, we have;
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
03.
(a)
Multiply out
3(2x-7)
Answer
Answer: -42 is the answer.
WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTO
GO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is
Answer:
-x-6=y
Step-by-step explanation:
Perpendicular slope is -1
-1(-4)+b=-2
B=-6
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is
✔ horizontal
The line perpendicular to the line y = –8 is
✔ vertical
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is
✔ x = –4
Step-by-step explanation:
i got it right
Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?
Answer:
50th
Step-by-step explanation:
10 multiply by 5 is 50
And 25 multiply by 2 is 50
50 is the first to appear on both sides
Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?
Answer
12+10+10+50+2+3+1=88
Step-by-step explanation:
Answer:
Red pens: 4 boxes
blue pens: 2 boxes
black: 3 boxes
Step-by-step explanation:
Complete the equation describing how x and y are related.
Answer: The "?" would equal 1.
Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
Answer:
0.39063241
Step-by-step explanation:
cost per item: 6.06
items sold: 64321
total profit: 25123.5
sale price: ?
x = number of items
64321x - 6.06x = 25123.5
64314.94x = 25123.5
x = 25123.5/64314.94 = 0.39063241
The terminal side of θ in standard position contains the point (3, 0). Find the exact values of the six trigonometric functions of θ
[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]
[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]
[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]
can some one answer please
Answer:
B (HI/GI)
Step-by-step explanation:
Remember Soh Cah Toa.
Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.
A right triangle has side lengths d, e, and f as shown below use these lengths to find sinx, cosx, and tanx
Answer:
sinx= d/f
cosx= e/f
tanx= d/e
Helppppppppp meeeeeeeeeeee
Please help thank you! Sorry for spamming
Answer:
B
Step-by-step explanation:
because of order if operations.
Answer:
B
Step-by-step explanation:
The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.
If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.
What is the measure of an angle if it is fourteen times its own complement?
Answer:
Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.
Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?
Answer:
1/12 of the lasagna was left
Step-by-step explanation:
To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).
Answer:
[tex]\frac{1}{4}[/tex] of the lasagna
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]
4 = 2 × 2
3 = 3
6 = 2 × 3
LCM = 2 × 2 × 3
LCM = 12
4 × 3 × 6 = 72
[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]1-\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]
A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
[tex]P=1259.26N/m^2[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]F=68N[/tex]
Area [tex]A=540cm^2=0.054m^2[/tex]
Generally the equation for Pressure is mathematically given by
[tex]P=\frac{F}{A}[/tex]
[tex]P=\frac{68}{0.054}[/tex]
[tex]P=1259.26N/m^2[/tex]
