The solution to the system of equations is x = 3 and y = 4.
this question is related to system of equations ,
the equations are,
x + y = 7 .......[1]
x + 2y = 11
x= 11 - 2y
now, place the value of x in equation 1,
(11 - 2y) + y = 7
11 - 2y +y = 7
11 - y = 7
- y = 7 - 11
- y = - 4
y = 4
now to find the value of x, place the value of y in equation 1
x + 4 = 7
x = 7 - 4
x = 3.
so, the value of x and y is 3 and 4.
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Beth's class party was held in a steamboat on a local lake. The steamboat made a circuit of the lake at a constant rate of 16 mph. It traveled a total of 40 mi. around the lake. How long did the trip on the steamboat last?
(A) 2.5 hr.
(B) 3 hr
.
(C) 4.2 hr.
(D) 5 hr.
Answer:
A
Step-by-step explanation:
2.5 x 16 = 40
find the vertex
V(x) = 325x2 – 4600x + 145000
The vertex of V(x) = 13x² - 184x + 5800 are at 7.08 + i19.9 Or 7.08 - i19.9.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know the graph of a quadratic equation is a parabola and the vertex of the parabola are the roots o the quadratic equation.
Given, V(x) = 325x² - 4600x + 145000.
V(x) = 13x² - 184x + 5800. (we have factored out 25)
Now, By applying Sridhar acharya's formula,
x = [- b ± √(b² - 4ac)]/2a.
x = [184 ± √(33856 - 301600)]/26.
x = [184 ± i√267744]/26.
x = [184 ± i517.44]/26.
x = 7.08 + i19.9 Or 7.08 - i19.9.
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Find each number. Round to the nearest tenth if necessary./
18 is 25% of what number? (show work)
Answer:
72
Step-by-step explanation:
25%:18
50%:36
75%:54
100%:72
Kassidy charges a flat rate for mowing yards in her neighborhood, shown on the graph below.
Answer: Fri: 87.5
Sat: 105
Sun: 52.5
Total: 245
Step-by-step explanation: You multiply each lawn she mowed by 17.5
what is 13 divided by 12
Answer:
1.0833333333333333333333333333333333 (repeats)
Step-by-step explanation:
use a calculator
does 27, 18, and 7 form a right triangle?
Answer:
No
Step-by-step explanation:
If you use the Pythagorean theorem:
sqrt (7^2+18^2)= sqrt 373 and 27^2 does not equal to 373
Answer:
No
Step-by-step explanation:
A right triangle is exactly 90 degrees and 27, 18, and 17 equal less than 90 so it does not equal a right triangle.
Janice lost a total of 75 pounds over the course of 12 months. How many pounds on average did Janice lose each moth? Answer with a mixed number.
Answer:
The awnser is 6.25 pounds
Step-by-step explanation: 75/12 = 6.25 which means every month she lost a total of 6.25 pounds and on a 12 month average she lost 75 pounds
5. There are 42 teachers who work in a school. On Monday, 29 teachers were present. What percentage of the teachers showed up for work?
Answer:
69%
Step-by-step explanation:
There are 42 teachers who work in a school. On Monday, 29 teachers were present. The percentage of the teachers that showed up for work will be:
= 29 / 42 × 100
= 69%
Answer:
Step-by-step explanation:
In any case where you're asked, "what percentage of A is B?" you can simply divide the number B by the A. The decimal you get is the answer. for example, if you're being asked what percentage 12 is of 25, you just divide 12 by 25 to get 0.48, which translates to 48 percent. in your case, 29/42 is 0.69 (rounded down from 0.6904761905) which equals 69%.
In a case where B is larger than A, you still do the same, only with the addition of the whole number. Ex: what percentage of 25 is 86?
86/25 is 3.44, so your answer is 344%.
Hope this helped :)
Alyssa just accepted a job at a new company where she will make an annual salary of $53000. Alyssa was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Alyssa make as a salary after 3 years working for the company? What would be her salary after
t
t years?
Answer:
68,000
Step-by-step explanation:
53,000+5,000x3
5,000x3=15,000
53,000+15,000=68,000
200 Litres of a punch that contains 35% fruit juice is mixed with 300 L of another punch. The resulting fruit
punch is 20% fruit juice. Find the percent of fruit juice in the 300L of punch.
Please help me, (with show of math)
Yes, because as x increases, y increases and because all of the pairs represent the same ratio.
What does it mean when a ratio is proportional?When two sets of provided numbers change in proportion, the ratios are said to be directly proportional if they do so in the same direction.
If two ratios or fractions are equivalent, it may be shown using the proportion formula. By dividing the supplied numbers, we may determine the value that is missing. You may write the percentage formula as a: A and d are the extreme terms, and b and c are the middle terms, according to the formula b::c: d = a/b = c/d.
Yes, because as x increases, y increases.
Yes, because all of the pairs represent the same ratio.
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THIS HAS BEEN KILLING ME!!!!!
The function y=-1/3x is reflected across the x-axis. What's the equation of the new function?
- explain step by step, please.
Check the picture below.
let's bear in mind that the -(1/3)x has a negative slope, namely going down, so a reflection over the x-axis will yield the same points pretty much, but instead of the IV Quadrant, on the I Quadrant, above, whilst the slope remains the same, it simply turns positive.
Tara placed the numbers -2 1/6, 3/11 and 2 2/9 on the number line below. Which letters
represent the correct location for each number?
-2 1/6 is A, 3/11 is C, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is F
or
-2 1/6 is B, 3/11 is D, and 2 2/9 is F
Answer:
sorry beacuse I don't know anything
I WILL GIVE YOU BRAINLY IF YOU CAN'T ANSWER IT PLS DO NOT ANSWER
Each time a student scores an 80% or higher on a quiz, a teacher puts a raffle ticket
in a jar. At the end of the quarter the teacher draws three tickets. Does EVERY
student in the class have a fair chance of having their name drawn when the teacher
draws the names for the raffle? Why or why not?
Answer:
no because some students might not get 80% or higher on their test
sorry if this isnt helpful
3 A sphere is increasing in volume at the rate of 20 in3/s. At what rate is the radius of the sphere increasing when the radius is 4 in.? A.0.982 inls B.0.424 inls C.0.995 inls D.0.025 inls
The rate of increase of the radius is 0.025 in/sec.
What is a sphere?A three-dimensional object with a sphere-like shape. A sphere has no vertices or edges, unlike other three-dimensional shapes. The distances between each point on its surface and its center are equal.
In other words, the distance between any two points on the surface and the sphere's center is equal. The formula for the Volume of the sphere is given by
Volume of sphere = (4/3)πr³
Where, r = radius of the sphere
Here we have
A sphere is increasing in volume at the rate of 20 in³/s.
Here we need to find at what rate the radius of the sphere increases when the radius is 4 in.
Let v = Volume of the sphere at time t
=> Change in Volume = dv/dt = 20
r = Radius of the sphere at time t
As we know, the Volume of the sphere, v = (4/3)πr³
Differentiate the Volume of the sphere with respect to t
=> dv/dt = (4/3)3πr³⁻¹)(dr/dt)
=> dv/dt = 4πr² (dr/dt)
=> 20 = 4πr² (dr/dt)
=> 5 = πr² (dr/dt)
Given that radius, r = 4
=> 5 = π4² (dr/dt)
=> 5 = (22/7) 64 (dr/dt)
=> 5 = 3.14(64) (dr/dt)
=> dr/dt = (5/3.14 × 64)
=> dr/dt = 0.024880573
=> dr/dt = 0.025
Therefore,
The rate of increase of the radius is 0.025 in/sec.
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Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
Pleaseeee
Answer:
6x^2 + 3x + 21 = 3(2x^2 + x + 7)
Step-by-step explanation:
We have this as follows;
6x^2 + 3x + 21 = 3(2x^2 + x + 7)
The quadratic trinomial inside the bracket cannot be factored any further
so we have the present form as the correct answer
Mason has 2 1/2 cups of peanut
butter. He is making peanut butter
sandwiches. If he uses 1/8cup of
peanut butter in each sandwich,
how many sandwiches can he
make?
Help
Answer:
Mason can make 20 sandwiches.
Step-by-step explanation:
2 1/2 ÷ 1/8 = 20Is this a right triangle?
Answer:
Yes.
Step-by-step explanation:
A right triangle, by definition, must have at a 90° angle, typically denoted by a square. In the given picture, there is a square within the triangle where an angle is, denoting that it is a right angle. ∴ by definition given above, this is a right triangle.
~
What is the measure of ABC?
A 44°
B 88°
C 176°
D 92°
Answer: C) 44 degrees
Step-by-step explanation:
44
someone please please help !
Answer:
50.3
Step-by-step explanation:
[tex]\pi {r}^{2} \times h[/tex]
[tex]4\pi \times 4 = 50.3[/tex]
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
3^3 = 27, so C
Please give brainliest :)
.You have an "equality sign" that connects 1kg of NaCl to 27 ml of a solvent, how many ml are associated with 9100 grams?
Two tiny parallel horizontal lines serve as the "equality sign" connecting 1 kilogramme of NaCl to 27 ml of a solvent.
What does ≡ mean in math?is a synonym for exactly. This is comparable to equals but not quite the same. To avoid confusion, always use the symbol =, which stands for about equal to or virtually equal to. This symbol indicates two sides of a connection that are not precise enough to be mathematically manipulated.≅ (mathematics) equivalent to around. quotes (geometry) similar to. The computer science term "it is defined as" is denoted by the meta symbol::=, which is not a mathematical expression , everywhere.x ≔ y or x ≡ y indicates that x is understood to be another name for y (however it should be noted that can also denote other things, such as congruence). P :⇔ Q denotes the logical equivalence of P to Q. Congruent or, more generally, an arbitrary equivalence relation is denoted in some circumstances by the triple bar or equal sign with three lines.To learn more about equality sign refer to :
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Which expression is equivalent to (4^3 · 6^3)^7?
a) 10^21
b) 10^42
c) 24^21
d) 24^42
Answer:
C
Step-by-step explanation:
the answer is C but the alternative form is 9.64797×10^28
nevermind i think it's B now arg sorry
2. Ask one of your teachers how tall they are in feet/in. Write it here:
Now, covert their height into centimeters (cm).
feet
in.
1 ft = 12 in
1 in = 2.54 cm
My teacher:
- 5'3
- 5.25 ft
- 63 in
- 160 cm
The ruthless queen has asked the royal pharmacist to create a concoction which will straighten her curly hair. If the pharmacist combines a mixture containing 10% milkweed with another mixture containing 50% milkweed to create a 5 ounce mixture containing 30% milkweed, how many ounces of the 10% mixture will the pharmacist use?
The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.
The formula for calculating percentages?To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.
Since when do we utilize percentages?Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.
According to the given information:We are aware that m = CV, where
V = volume and c = concentration
Let
M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.
It is known that m + m' = M.
where cv + c'v' = CV
Since cv + c'v' = CV, the formula is:
c = 3.7% concentration = 0.037;
v = volume of 3.7% = 1 ounce;
c = 7.9% concentration = 0.079;
v' = volume of 7.9%;
C = 6.5% concentration = 0.065;
and V = volume of 6.5% = v + v'
We obtain by altering the values of the variables in the equation
3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')
3.7% + 7.9 %v' = 6.5%(1 + v')
3.7% + 7.9 %v' = 6.5% + 6.5%v'
7.9%v' - 6.5%v' = 6.5% - 3.7%
1.4%v' = 2.8%
v' = 2.8%/1.4%
2 ounces are v'.
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I need help Plssssssss
No, I don't aree with him because the formula for the median is formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number. To find the median, first order the numbers from smallest to largest. Then find the middle number.
so it's 1,4,7,8 and 13 so the median is 7
so we do not agree with him
THANKS!FROM CAMBRIDGE UNIVESITY:)
I need some help again:(. My question says "complete the statement with the correct exponent" it shows 5 (blank) = 125 I know that whenever I have a two it's 5 squared but I don't know how to actually find the exponent without it showing 5 x 5 x 5 ( and so on,not what it actually showed just an example )
The value of the exponent based on the information is 3. Therefore, 5³ = 35.
How to illustrate the exponent?It should be noted that the exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Based on the information given, it should be noted that this can be written as:
5^x = 125
5^x = 5³
Since the base is equal
x = 5.
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What is the volume in cubic inches of the pyramid shown in the diagram?
u can download the gauthmath app i promise it's very helpful :)
Which right triangular prism has the greatest volume?
A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters.
A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters.
A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters.
A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.
Please Answer ASAP!
Answer:
B
Step-by-step explanation:
what is the surface area of a 27 centicube cube with 3 cm sides
At the city museum, child admission is $5.60 and adult admission is $9.30. On Monday, 166 tickets were sold for a total sales of $1277.40. How many adult tickets were sold that day?
number of adult tickets []
Answer:
number of child ticket sold=x =86
number of adult ticket sold = y =74