Answer:
x= 1.27, y= 11.4 (to 3s.f.)
Step-by-step explanation:
5x -y= -5 -----(1)
3x -5y= -3 -----(2)
From (1):
-y= -5x -5
divide by -1 throughout:
y= 5x +5 -----(3)
Subst. (3) into (2):
3x -5(5x +5)= -3
3x -25x +25= -3 (expand)
-22x= -3 -25
-22x= -28
divide by -22 throughout:
x= 1.2727 (5 s.f.)
x= 1.27 (3 s.f.)
subst. into (3):
y= 5(1.2727) +5
y= 11.4 (3 s.f.)
Isabella wants the distribution of money spent on advertising to match the distribution of profit gained from each product. If
Isabella has a budget of $22.5 million, how much should she allocate for ads for peripherals, to the nearest hundred thousand
dollars?
a. $9.7 million
b. $7.3 million
c. $4.1 million
d. $2.2 million
The company's profit in the year 2003 is $3.1 million
What is profit?Profit is stated as the amount of revenue generated after deduction of all the liabilities. Profit is the money you have left after paying for business expenses. There are three main types of profit: gross profit, operating and net profit.
Given that,
in the year 2000 profit = $2.2 million
Each year increase in profit = 13% =0.13
Total number of year = 2003-2000=3 years
Profit is denoted by
profit = initial profit ( 1 + each year increase)^years
Substituting the values we get
profit=2.2( 1 + 0.13)³
=2.2( 1.13)³
=3.174373
=3.1 million
Therefor , the company's profit in the year 2003 is $3.1 million
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Answer: Its C
Step-by-step explanation: I got it right
please help me out here
*image attached
Answer:
Rate of change = change y / change x
Change y = + 1
Change x = + 2
SO the rate of change is 1/2
WHAT IS THE Y VALUE WHEN X IS 9
y = 1 MULTIPLY by 4.5 = 4.5
x = 2 MULTIPLY by 4.5 = 9
Y = 4.5 when x = 9
Pls I Need Help!
Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters.
Given that these triangles are similar, which side corresponds to side GE?
Given that these triangles are similar, which side corresponds to side JK?
Answer: The first one is KL and the second one is most likely FG.
Answer:
1: KL
2: FG
Step-by-step explanation:
Just did it on Edge 2020-2021
Find the coordinate of point X inside segment BE that is 1/2 (half) the
distance from B to E.
2
Answer:
Point D
Step-by-step explanation:
Half the distance between B and E is at -4. Point D is at -4, so point X is at point D.
Which interval notation accurately represents the domain?
(–∞, 7) U (7, ∞)
(–∞, 5) U (5, ∞)
(–∞, 0) U (0, ∞)
(–∞, 10) U (10, ∞)
The domain represents interval notation is (–∞, 7) U (7, ∞) which is the correct answer would be an option (A)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
For all other x-values, the graph appears to be defined. Thus, with the exception of x = 7, all real numbers should fall under the function's domain. This is what that would look like in interval notation:
It is possible to write the interval (–∞, ∞). as the set of all real numbers. Keep in mind that infinity∞ or -∞ is not a real number. Both ends are shown to be excluded from the interval by the rounded brackets.
All real numbers less than but not equal to 7 are contained in the set (-∞,7). (both ends are excluded.) The collection of every real number greater than but not equal to is.
All real numbers less than and higher than are combined to form the set of all real numbers that are not equal to 7. The union operator joins two intervals together.
Hence, the domain represents interval notation is (–∞, 7) U (7, ∞)
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Help geometry what I m jlf
Picture provided
Answer:
[tex]\angle\,JLF = 114^o[/tex] which agrees with option"B" of the possible answers listed
Step-by-step explanation:
Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from [tex]180^o[/tex], since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as [tex]90^o[/tex] and [tex]138^o[/tex]. (see attached image)
We put our efforts into solving the right angle triangle denoted with green borders.
Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : [tex]360^o-90^o-138^o=132^o[/tex]
Therefore, the two equal acute angles in the triangle JOH should add to:
[tex]180^o-132^o=48^o[/tex] resulting then in each small acute angle of measure [tex]24^o[/tex].
Now referring to the green sided right angle triangle we can find find angle JLG, using: [tex]180^o-24^o-90^o=66^o[/tex]
Finally, the requested measure of angle JLF is obtained via: [tex]180^o-66^o=114^o[/tex]
Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5
Answer:
Step-by-step explanation:
a.
£100
1:3
1+3=4
1/4×£100
=£25
3/4×£100
=£75
b.
£80
3:5
3+5=8
3/8×£80
=£30
5/8×£80
=£50
C.
£250
2:3:5
2+3+5=10
2/10×£250
=£50
3/10×£250
=£75
5/10×£250
=£125
Help I don’t understand the concept
Answer:
C. No, because one x-value corresponds to two different y-values
Step-by-step explanation:
An x-value cannot have two y-values. Hope this helps!
Answer:
c ) No because one x-value corresponds to two different y-values
Step-by-step explanation:
Every X needs to have one y value
At the party, Aisha and her friends ate 2 \dfrac{1}{2}2 2 1 2, start fraction, 1, divided by, 2, end fraction pizzas. After the party, there were 1 \dfrac{1}{8}1 8 1 1, start fraction, 1, divided by, 8, end fraction pizzas left. How many pizzas were there at the start of the party?
Answer:
[tex]3\dfrac{5}{8}[/tex] pizzas.
Step-by-step explanation:
It is given that Aisha and her friends ate [tex]2\dfrac{1}{2}[/tex] pizzas.
After the party, the remaining pizza is [tex]1\dfrac{1}{8}[/tex] pizzas.
Now,
[tex]2\dfrac{1}{2}=\dfrac{4+1}{2}=\dfrac{5}{2}[/tex]
[tex]1\dfrac{1}{8}=\dfrac{8+1}{8}=\dfrac{9}{8}[/tex]
Pizzas at the starting = Pizza eaten by Aisha and her friends + Remaining pizza
[tex]=\dfrac{5}{2}+\dfrac{9}{8}[/tex]
[tex]=\dfrac{20+9}{8}[/tex]
[tex]=\dfrac{29}{8}[/tex]
[tex]=3\dfrac{5}{8}[/tex]
Therefore, [tex]3\dfrac{5}{8}[/tex] pizzas were there at the start of the party.
Answer:
3 & 5/8
Step-by-step explanation:
i got it right
A 3-gallon container of window cleaner costs $15.84. What is the price per quart?
*Hint: 1 gallon = 4 quarts*
HURRY DUE SOON PLEASE AND THANK YOU :)
Answer:
1.32
Step-by-step explanation:
3 gallon = 1
12 quarts = 4
12 quarts =1
$15.84= 1.32
Answer:
$1.32 per quart
Step-by-step explanation:
To find the price per quart, we must divide the price by the number of quarts.
price / quarts
We are told that a 3 gallon container costs $15.84. First, we must find out how many quarts are in 3 gallons.
We know that 1 gallon is equal to 4 quarts.
Let’s set up a proportion.
quarts/ gallons = quarts/ gallons
4 quarts /1 gallon = x quarts/ 3 gallons
4/1= x/3
Multiply both sides by 3
3*4/1= x/3*3
3*4/1=x
3*4=x
12=x
There are 12 quarts in 3 gallons.
Now we know how many quarts are in 3 gallons. We can find the price per quart.
price / quarts
It costs $15.84 for 12 quarts.
$15.84/12 quarts
Divide 15.84 by 12
$1.32 / quart
It costs $1.32 per quart of window cleaner.
Add (8n4 - n) + (3n4 + 2n - 3n3 ) =
Voir
if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 5 hours a day.
Answer:
7 days
Step-by-step explanation:
The graph shows the speed of a particle over a 10 second time interval find an estimate for the distance travelled by the particle
Answer:
240
Step-by-step explanation:
(2x36)/2=36
(36+39)x2/2=75
(31+39)x2/2=70
(14+31)x2/2=45
(2x14)/2=14
14+45+70+75+36=240
solve for 7x2 = 10x
Answer:
x = 0, x = [tex]\frac{10}{7}[/tex]
Step-by-step explanation:
Given
7x² = 10x ( subtract 10x from both sides )
7x² - 10x = 0 ← factor out x from each term
x(7x - 10) = 0
Equate each factor to zero and solve for x
x = 0
7x - 10 = 0 ⇒ 7x = 10 ⇒ x = [tex]\frac{10}{7}[/tex]
Answer:
x = 1.4
Step-by-step explanation:
1. Simplify the left side so you get 14 = 10x
2. Divide the whole equation by 10
3. x = 1.4
[tex] \sqrt[3\\ ]{27/125} [/tex]
enter as fraction
Not so bad after an F- I guess.
Answer:
Congratulations!
Step-by-step explanation:
What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence? answers: A) ≅ B) No additional information is needed. C) ≅ D) ∠ACB ≅ ∠ECD
Answer:
AC congruent to EC
Step-by-step explanation:
This problem is asking specifically to prove triangles congruent using HL.
HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.
Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.
You need AC congruent to EC.
Answer:
AC congruent to EC
Step-by-step explanation: I took the test
Need help ASAP
How to check that a trinomial is a perfect square ?
Answer:
Step-by-step explanation:
multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.
Find the area of the kite.
Answer:
30 m
Step-by-step explanation:
We use the area of a kite which is diagonal 1 multiply it by diagonal 2 then divide by two
A certain pizza box holds a 14-inch diameter pizza. If the box is 2 inches high; what is its surface area?
2 in.
14 in.
2 in.
2 in.
14 in.
14 in.
528 in 2
504 in 2
196 in 2
392 in 2
Answer:
528 in²
Step-by-step explanation:
Look at the attached image to help layout all of the dimensions of the pizza box!
Let me know if you have any other questions and please rate my response and consider marking brainliest!!
Mr. Smith saved $15 by buying a tool at a 10% discount. What was the original price for this tool?
Answer:16.5
Step-by-step explanation:
15 times 10 percent=1.5, Add 1.5 to 15 =16.5
Answer: $150
Step-by-step explanation:
PRICE x 10% = $15
PRICE x .1 =$15
PRICE = $15 /.1
PRICE = $150
Okay so I need help figuring out how to do this table
Answer:
i think the answer is 125 im not sure
Step-by-step explanation:
y = 5^3 = 125
pls help this due before 11:59
Answer:
4th option is the correct answer
35 inches
Step-by-step Explanation:
[tex]w = 4 \frac{3}{8} = \frac{35}{8} \: in \\ \\ l = 3 \times \frac{35}{8} = \frac{105}{8} \: in \\ \\ perimeter \: of \: rectangle \\ = 2\bigg(l + w \bigg) \\ \\ = 2\bigg( \frac{105}{8}+ \frac{35}{8} \bigg) \\ \\ = 2 \times \frac{140}{8} \\ \\ = \frac{140}{4} \\ \\perimeter \: of \: rectangle = 35 \: in[/tex]
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n
Answer:
0.5m+2.50=c
Step-by-step explanation:
Just trust me brah
GIVING BRAINLIEST
Find the area of the circle if r = 5 meters. Leave the answer in terms of
A =1000 square meters
B)
A =251 square meters
C)
A = 51 square meters
D)
A = 101 square meters
Answer:
The area is 78.54 square meters
Step-by-step explanation:
The area = pi*r² r=5
A=pi*25
A≈78.54 square meters
A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?
A rectangular pyramid. The cross section is a triangle.
a triangle that has the same dimensions as one of the sides of the pyramid
a triangle that does not have the same dimensions as one of the sides of the pyramid
a parallelogram that is not a rectangle
a rectangle
Answer:
d
Step-by-step explanation:
a rectangle
The cross-section of the shape will be that of a triangle, hence the correction option is A.
What is a cross-section?Cross-sections are basically flat shapes that are formed when we slice through a solid shape.
A good idea of a cross-section is when you slice through a piece of potato.
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What is the area of the figure in the picture?
Answer:
[tex]26.14yd^2[/tex]
Step-by-step explanation:
Triangle
[tex]A=\frac{h_bb}{2} \\=\frac{4*6}{2} \\=12yd^2\\\\A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 3^2\\=14.14yd^2\\\\12+14.14=26.14yd^2[/tex]
Answer:
Step-by-step explanation:
The area of a circle knowing the diameter is 28.2743, now divide between 2: 14,13715
Now the area of the triangle give us: 9.238
9.238 + 14,13715 = 23.37515
The procedure is in the images
App used: CalculateMyFigure
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
(90,60)
Step-by-step explanation:
if you look closely through the linear graph, the line crosses through (90,60) and not the other given pairs.
proportional relationships are plots that also match in the same graphing format (keep in mind when you have trouble next time)Choose each number that shows 1/2 % as an equivalent fraction, decimal, or percent. Select all that apply.
A. 0.05
B. 2%
C. 51,000
D. 5100
E. 0.005
Answer:
E
Step-by-step explanation:
1/2% is .5% = .5/100 = .005
The required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Given percentage term = 1/2%
Since 1/2 = 0.5, and percent % = 1/100th
Togetherly,
= 0.5/100 = 0.005
Thus, the required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.
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8. A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches,
write an equation to represent the situation. Then use this equation to find the expected number of hours in which the candle
melted to 1.5 inches.
Answer:
x-.6=1.5
Step-by-step explanation:
4-1.5=2.5 2.5/.6 is approximately 4
