Answer:
x=1y= -2Step-by-step explanation:
3x-2y =7x+2y= -34x=4x=4/4x=13x-2y=73(1)-2y=73-2y=7-2y=7-3-2y=42y=-4y=-4/2y= -2Verify solutionx+2y= -31+2y= -32y=-3-12y= -4y= -4/2y= -2Answer:
x = 1
y = -2
Step-by-step explanation:
adding both quation we get
3x -2y + x + 2y =7 + -3
4x = 4
x = 1
substituting this equation in the earlier equation we get
3 * 1 -2y = 7
3 - 2y = 7
-2y = 4
y = -2
A family-sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with
dimensions 2 x 8 x 9 inches costs $4.50. What is the difference in price per cubic inch?
PLEASE HELP I NEED THIS DONE TODAy
what expressions are equivalent to 3x^2 +30x-72
1. 3(x^2+10x-24)
2. 3(x-6)(x-4)
3. 3x(x+10)-72
Answer:
1. 3(x^2+10x-24)
Step-by-step explanation:
3x^2 +30x-72
so you want to see what each element has in common with the whole equation. In this case, everything is divisible by 3 so we take out the 3.
3(x^2+10x-24)
I need help with this problem
The height of a trapezoid is 6 in. and its area is 72 inches squared. One base of the trapezoid is 6 inches longer than the other base. What are the LENGTHS of the bases?
Answer:
9 and 15 inches
Step-by-step explanation:
The unknown lengths can be found by making use of the formula for the area of a trapezoid.
__
Let x represent the shorter base. Then the longer one is (x+6), and the area is ...
A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h
72 = 1/2(x +(x+6))(6)
24 = 2x +6 . . . . . . . . . simplify, divide by 3
18 = 2x . . . . . . . . . subtract 6
9 = x . . . . . . divide by 2
15 = x+6 . . . . . . the length of the longer base
The bases are 9 inches and 15 inches in length.
which one is the answer top or bottom?
Find the surface area of each figure. Round to the nearest hundredth when necessary.
Answer:download cameramath it helped me a lot!
Step-by-step explanation:when I have hard questions i just go to
Cameramath!
A student solves the following equation and determines that the solution is −2. is the student correct? explain. 3 a 2 − 6a a2 − 4 = 1 a − 2
Answer:
Step-by-step explanation:
Solving the equation, it is found that it has no solutions, thus, the student is not correct.
What value of x makes the equation true?
[tex]2(x - 9) = 9 \div ( - \frac{1}{3} ) \\ [/tex]
[tex]2(x - 9) = 9 \times ( - 3)[/tex]
[tex]2(x - 9) = - 27[/tex]
[tex] \frac{2(x - 9)}{2} = \frac{ - 27}{2} \\ [/tex]
[tex]x - 9 = - 13.5[/tex]
[tex]x - 9 + 9 = - 13.5 + 9[/tex]
[tex]x = - 4.5[/tex]
Thus option B is the correct answer.
A trolley charges $2.00 for every mile traveled. How much would
it cost to travel 5 miles? 8 miles? 20 miles?
Answer:
5 miles: $10
8 miles: $16
20 miles: $40
Step-by-step explanation:
Since each mile costs $2 and that it asks you to figure out the price for 5 miles, 8 miles and 20 miles, you multiply 2 with the amount of miles travelled
PLEASE HELP WILL GIVE BRAINLIEST FOR CORRECT AWNSER
Answer:
49 un^2
Step-by-step explanation:
We can split the bird feeder into two parts, a rectangle and a triange.
The rectangle would have a base of 7 un and a height of 5 un
So, the area would be 35 un^2
The trianges base would be 7 un, the same as the rectangle, and the height would be 4 un.
So, the area would be 14 un^2
Therefore, the total area of the bird feeder would be 49 un^2
There are 8 dogs. There are 5 Bones. How many dogs do not get a Bone
Answer:
3 dogs dont get a bone
Step-by-step explanation:
there are 8 dogs and 5 bones if you give one bone to each dog then 3 dogs will remain without one making the answer 3
hope this helped
A triangular prism is 9 feet long. It has a triangular face with a height of 11.3 feet. The volume of the prism is 498.33 cubic feet. What is the base of its triangular face?
Answer:
9.8 feet
Step-by-step explanation:
let area of triangular base be A square feet.
volume of prism = A x height(or length in this case)
498.33 = A x 9
A = 498.33 / 9 = 1/2 x 11.3 x base
...
thus, base = 9.8 feet
Do you think Maths in UK high schools is harder compared to USA?
Answer:
There’s nothing really different between the UK and the US when it comes down to Tests and Schools. The UK have harder tests but a laughable school grading scale, while the US has slightly easier tests but a harsher grading scale.
Answer: It all depends on the category you are comparing the UK has grading Scales of 1-9 but in the US you have A,B,C,D,F which are is way harder to understand in my opinion.
A 1.4 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 91.4 m from the ground the angle of elevation of the balloon from the eyes of the girl at that instant is 60 degree after sometime the angle of elevation reduces to 30 degree find the distance travelled by the balloon during that interval.
take √3 = 1.732
Step-by-step explanation:
Answer Attached!! Hope it helps you!!Answer:
105.53 m
Step-by-step explanation:
Distance covered until 60°
tan60° = 91.4/d₁√3d₁ =91.4d₁ = 91.4/1.732d₁ = 52.77 mDistance covered until 30°
tan30° = 91.4/d₂d₂/√3 = 91.4d₂ = 91.4 x 1.732d₂ = 158.3 mDistance in interval (d)
d₂ - d₁158.3 - 52.77105.53 m24. Find the area of the shaded region:
Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Answer:
5x^3+ 17x^2- 35x-30 Or x=-4.63 or 1.9
Step-by-step explanation:
Area of rectangle =L×B
for smaller rectangle :
after applying the formula, the equation becomes:
6x^2 - 3x
For bigger rectangle:
Applying the same formula, the equation becomes:
5x^3+ 23x^2- 38x- 30
Area of shaded region =
Area of bigger rectangle- Area of smaller rectangle
= 5x^3+17x^2 -35x-30
going further solving the above equation
Area of shaded region: -4.96 or 1.9
find the measure if angle R, goven that the largest triangle is a right triangle
Answer:
27°Step-by-step explanation:
Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.
Then we have
m∠R + 18° = 90°/2m∠R + 18° = 45°m∠R = 45° - 18°m∠R = 27°Answer:27
Step-by-step explanation: I think :)
The volume of a right cone is 27\piπ units^3
3
. If its height is 9 units, find its circumference in terms of \piπ.
that is the circumference of its circular base.
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=9\\ V=27\pi \end{cases}\implies 27\pi =\cfrac{\pi r^2 (9)}{3}\implies 27\pi =3\pi r^2 \\\\\\ \cfrac{27\pi }{3\pi }=r^2\implies 9=r^2\implies \sqrt{9}=r\implies \underline{3=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad \qquad C=2\pi (\underline{3})\implies C=6\pi[/tex]
The circumference of the cone will be;
⇒ 6π
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The volume of a right cone = 27π units³
And, The height = 9 units
Now,
Since, We know that;
The volume of cone = πr²h / 3
⇒ 27π = π × r² × 9 / 3
⇒ 27 = r² × 3
⇒ r² = 27/3
⇒ r² = 9
⇒ r = 3
Since, The circumference of the cone = 2πr
= 2 × π × 3
= 6π
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Swimming pool A contains 30 gallons of water and is filling at a rate of 3 gallons per minute.
Swimming pool B contains 18 gallons of water and is filling at a rate of 5 gallones per minute.
Enter the number of minutes it will take for both swimming pools to contain the same amount of water
Answer:
6 Mins
Step-by-step explanation:
I like to solve these questions with a equation.
I form the equations with Orginal Amount + FlowingRateX.
Since we have 2, and we want them to be the same they will be equal to eachother.
30+3x=18+5x
12=2x
x=6
Convert 4 gallons to pints. Choose the words and numbers to complete the statements.
A gallon is a
Choose...
unit than a pint, so
Choose...
the number of gallons by
Choose...
to find the number of pints. Therefore, 4 gallons is equal to
Choose...
pint(s). Please help and please check your answer
Answer:
A gallon is a
greater
unit than a pint, so
we multiply
the number of gallons by 8
to find the number of pints. Therefore, 4 gallons is equal to 32
pint(s).
The value of 4 gallons will be equal to 32 pints.
What is an expression?Expressions can also include functions, trigonometric functions, logarithmic functions, and other mathematical operations. They are used to represent mathematical ideas and formulas and can be manipulated and simplified using algebraic techniques.
Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.
We need to divide the number of gallons by 0.125 (since there are 8 pints in a gallon)
To find the number of pints. Therefore, 4 gallons is equal to,
32 pints.
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I need ASAP please help me
Answer:
5006 is and 4896
Step-by-step explanation:
math is the best letsgoooo
Form a quadratic function f(x) for which f(1)=0, f(−1)=−4, and f(2)=5.
Answer:
[tex]f(x)=x^2+2x-3[/tex]
Step-by-step explanation:
[tex]\textsf{General form of a quadratic function}:f(x)=ax^2+bx+c[/tex]
Equation 1
[tex]\begin{aligned}f(1) &=0\\ \implies a(1)^2+b(1)+c &=0\\ a+b+c &=0 \end{aligned}[/tex]
Equation 2
[tex]\begin{aligned}f(-1) &=-4\\ \implies a(-1)^2+b(-1)+c &=-4\\ a-b+c &=-4 \end{aligned}[/tex]
Equation 3
[tex]\begin{aligned}f(2) &=5\\ \implies a(2)^2+b(2)+c &=5\\ 4a+2b+c &=5 \end{aligned}[/tex]
Add Equation 1 and Equation 2:
[tex]\begin{array}{r l}a+b+c & =0 \\+\quad a-b+c & =-4 \\\cline{1-2} 2a+2c & =-4 \end{array}[/tex]
[tex]\implies a+c=-2[/tex]
Substitute [tex]a+c=-2[/tex] into Equation 1 and solve for b:
[tex]\begin{aligned}\implies a+b+c &=0\\ b-2 &=0\\ b &=2\end{aligned}[/tex]
Substitute [tex]a=-2-c[/tex] and [tex]b=2[/tex] into Equation 3 and solve for c:
[tex]\begin{aligned} \implies 4a+2b+c&=5\\ 4(-2-c)+2(2)+c &=5\\-8-4c+4+c &=5\\ -3c &=9\\ c &=-3\end{aligned}[/tex]
Substitute found value of c into [tex]a=-2-c[/tex] and solve for a:
[tex]\implies a=-2-(-3)=1[/tex]
Therefore, a = 1, b = 2 and c = -3
Substitute the found values into the general form of a quadratic function to form the final equation:
[tex]f(x)=x^2+2x-3[/tex]
Please help ASAP! 5th grade math, will give brainliest! (No clue what I’m doing so please show your work on both of these)
Answer:
2 2/5 (For the word problem)
For the graph (In order)
4/5
1 1/4
12/30 (Or 2/5)
2 6/12 (or 2 1/2)
Step-by-step explanation:
1:
12 pounds make 5 pies, turn it into a fraction.
12/5
Now turn it into a mixed number. How many fives can go into 12?
Two fives equal ten, subtract it from twelve. Bring the amount of fives to the left.
2 2/5
2: Oh, that's really easy.
Four divided by five is 4/5
Five divided by four is 5/4 which as a mixed number is 1 1/4
3: 12 divided by thirty is 12/30, you can simplify it by dividing both sides of the denominator by three, then two. But if it's not required then just don't 12/30
4: 30 divided by 12 is 30/12, how many twelves can go into 30? Two.
30 - 24 = 6
2 6/12
A rectangular farm has an area of 58
square miles. If its length is 19
miles, what is its width?
Input your answer as a fraction.
Answer: 58/19 or 3¹/119
Step-by-step explanation: Area = 58
Length is 19 Width is Area/ Length
If A = -4 B = -8 Y = -2
What is the answer to 4a^2 - y + 2b^3
(^ is exponents)
The coordinates of the endpoints of CD are C(2, 5) and D(4, 9). Which measurement is the closest to the length of CD in units? A. 2 units B. 3.5 units C. 4 units D. 4.5 units
The measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}[/tex]
The coordinates of the endpoints of CD are C(2, 5) and D(4, 9). Put the values of coordinate point in the above formula as,
[tex]D = \sqrt{(4-2)^2 + (9-5)^2}\\D = \sqrt{2^2 + 4^2}\\D = \sqrt{4 + 16}\\D=4.47\\D\approx4.5\rm\; units[/tex]
Thus, the measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.
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Tell whether the relation is a function. Explain your reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
pls help me i need an a
Answer:
C
Step-by-step explanation:
The diagram goes up in increments of 2/8 5 times, which C represents.
Suppose that 15% of the population have cancer, 50% of the population smokes, and 75% of those with cancer smoke. What fraction of smokers have cancer
Answer:
90/140.
Step-by-step explanation:
75 + 15 = 90. Then 90 + 50 is 140.
What is the solution to 4 superscript log subscript 4 baseline (x 8) baseline = 4 squared
The solution to 4 superscript log subscript 4 baseline (x 8) baseline = 4 squared for the variable x is 8.
What is the exponent of log rule?The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.
For example, let k is the number and a is the base. Thus,
[tex]a^{\log a(k)}=k[/tex]
The logarithmic equation given in the problem is,
[tex]4^{\log_4(x+8)}=4^2[/tex]
Compare the equation with the expression of exponent of log rule, we get,
[tex]x+8=4^2\\x+8=16\\x=16-8\\x=8[/tex]
Thus, the solution to 4 superscript log subscript 4 baseline (x 8) baseline = 4 squared for the variable x is 8.
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Answer:
8
Step-by-step explanation:
Which equation represents exponential growth?
Answer:
D
Step-by-step explanation:
exponential function is: f(x)=b^x
the function represents exponential growth when b>1
A)b=0.84 < 1 this function decay
B) not exponential function
C) not exponential function
D) b=1.06 >1 growth