Answer:
140 pigs and 120 cows
Step-by-step explanation:
20+50=70
70x2=140(number of pigs)
140-20=120(number of cows)
Multiply (2 4/5) (-5 2/3)
Final answer:
To multiply mixed numbers, convert them into improper fractions, multiply the numerators and denominators separately, and simplify the resulting fraction.
Explanation:
To multiply mixed numbers, we first convert them into improper fractions. Then, we multiply the numerators and denominators separately and simplify the resulting fraction if possible.
In this case, (2 4/5) can be written as 14/5 and (-5 2/3) can be written as -17/3. Therefore, (2 4/5) (-5 2/3) can be simplified to (-14/5) * (-17/3).
To multiply fractions, we multiply the numerators and denominators together. So, (-14/5) * (-17/3) = (14 * 17) / (5 * 3) = 238/15 = 15 13/15.
which expressions are equivalent to -90 - 60w
A : -30(3+2w)
B : (-9-6w) ⋅ 10
C : -3(30 - 20w)
D : (6 + 4w)×15
E : −20(4.5 + 3w)
Answer:
A : -30(3+2w)
B : (-9-6w) ⋅ 10
E : −20(4.5 + 3w)
Step-by-step explanation:
Using distributive property:
A : -30(3+2w) = -90 - 60w : equivalent to -90 - 60w
B : (-9-6w) ⋅ 10 = -90 - 60w : equivalent to -90 - 60w
C : -3(30 - 20w) = -90 + 60w : NOT equivalent to -90 - 60w
D : (6 + 4w)×15 = 90 + 60w : NOT equivalent to -90 - 60w
E : −20(4.5 + 3w) = - 90 - 60w : equivalent to -90 - 60w
Answer:
A : -30(3+2w)
B : (-9-6w) ⋅ 10
E : −20(4.5 + 3w)
Answer:
A, B and E.
Step-by-step explanation:
We have -90-60w. Both 90 and 60 are multiples of 30, so we can apply common factor -30:
-90-60w = -30(3+2w). Then option A is correct.
Now, 90 and 60 are also multiples of 10, so we can apply common factor 10:
-90-60w = 10(-9-6w). Then option B is correct.
Now, 90 and 60 are also multiples of 3, so we can apply common factor -3:
-90-60w = -3(30+20w). Then option C is incorrect.
Now, 90 and 60 are also multiples of 15, so we can apply common factor 15:
-90-60w = 15(-6-4w). Then option D is incorrect.
Now, 90 is not a multiple of 20 but we can apply common factor obtainig a decimal number. Applying common factor -20 we have
-90-60w = -20(4.5+3w). Then option E is correct.
The volume of a single layer in a rectangular prism is 18 cubic centimeters. There are 5 layers in this rectangular prism. What is the volume, on cubic centimeters, of this rectangular prism?
Answer: [tex]90cm^3[/tex]
Step-by-step explanation:
A rectangular prism is a three-dimensional solid.
A rectangular prism has six faces (each one of these faces are rectangles), eight vertices and twelve edges.
You know that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ([tex]18cm^3[/tex]).
Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with:
[tex]V_{prism}=5*V_1[/tex]
Where [tex]V_1[/tex] is the volume of one layer.
Substituting, you get:
[tex]V_{prism}=(5)(18cm^3)\\\\V_{prism}=90cm^3[/tex]
Answer:
168
Step-by-step explanation:
Which is equivalent to 5 Square root of 1215^x
Final answer:
The expression 5 Square root of 1215^x can be simplified to 5^(1+x/2) × 3^(5x/2) by factoring 1215 and applying exponent rules.
Explanation:
To find what is equivalent to 5 Square root of 1215^x, we need to simplify the radical expression and apply exponent rules. The number 1215 can be factored into 3^5 × 5. Therefore, the square root of 1215 is the square root of each factor raised to the power of x. We know that the square root of a number can be expressed as the number raised to the power of 1/2. So 1215 raised to the power x can be expressed as (3^5 × 5)^x, and taking the square root gives us (3^5 × 5)^(x/2).
Applying exponent rules, like multiplying powers when the same base is raised to two different exponents (as per Eq. A.8 and what we know from Integer Powers), we can simplify the expression further. Our expression of 5 times the square root of 1215 raised to the power x becomes 5 × 3^(5x/2) × 5^(x/2).
We can then combine the coefficients (5 × 5^(x/2)) which simplifies to 5^(1+x/2). Our final expression of the original problem then becomes 5^(1+x/2) × 3^(5x/2), which is the simplified version of the original expression.
Mr lopez must make a minimum of 48 circuits boards per day. On Wednesday he made 60 circuit boardsm qhar percent of the required minimum did he make?
Answer:
125%
Step-by-step explanation:
Lopez made more than the required minimum. So, his percentage will be over 100, for sure. But how much?
This question is essentially asking "60 is what percent of 48"?
We can translate this into:
60 = P * 48
Note: is means "=" and of means "*"
Solving for p:
[tex]60=P*48\\P=\frac{60}{48}\\P=1.25[/tex]
In percentage it is 1.25 * 100 = 125%
Final answer:
Mr. Lopez made 125% of the minimum required number of circuit boards on Wednesday, by dividing the 60 circuit boards he made by the minimum of 48 and then multiplying by 100.
Explanation:
The question asks how to calculate the percentage of the minimum amount of circuit boards Mr. Lopez made on Wednesday. To find this percentage, we divide the number of circuit boards made by Mr. Lopez by the minimum required number and then multiply by 100 to convert it into a percent.
Step-by-Step Solution:
Mr. Lopez made 60 circuit boards on Wednesday.
The minimum requirement is 48 circuit boards per day.
To find the percentage, use the formula: (Actual amount / Minimum requirement) x 100%.
So, the calculation would be: (60 / 48) x 100% = 125%.
Therefore, Mr. Lopez made 125% of the minimum required number of circuit boards on Wednesday.
Can someone please help me????
The answer for the second question ( x < 3) is A
The answer for the first question is B
Which is greater three hours or 300 minutes
3 x 60 = 180
180 < 300
300 mins is greater.
What is the least common multiple of 2, 20, and 10?
Answer:
20
Step-by-step explanation:
The least common multiple is 20 :)
Find the total area 12 in 10 in 8 in 7 in 4 in 3 in
Answer:
80,640 IN 3
Step-by-step explanation:
I need to answer and explain number 27.
Answer:
y = 9x - 5
Step-by-step explanation:
Any line parallel to the given line y = 9x must also have the slope 9.
Substitute the known values (m = 9, h = 0, k = -5) into the point-slope equation of a straight line:
y - (-5) = 9(x - 0)
Then y + 5 = 9x, or
y = 9x - 5
Pablo Picasso obtained a loan of $2,400 to install a new roof on his home. The interest rate is 12% and the monthly payment is $113.04. What is the interest on the first monthly payment?
(A) $24.00
(B) $ 25.04
(C) $29.90
(D) $ 32.01
Answer:
The first monthly interest is (A) $24.00
Step-by-step explanation:
This question can be soled using the concept of simple interest.
Simple interest can be calculated by the formula,
[tex]S.I = \frac{prt}{100}[/tex]
here P = 2400, r = 12, t 1/12. putting the values in the above equation we get
[tex]S.I = \frac{prt}{100}= \frac{2400*12*1}{100*12}=24.00[/tex]
thus The interest paid in first month is $24.00
Learn more about interests here https://brainly.com/question/20690803
#SPJ2
Find the diameter of a circle with an area of 95.03 square feet
Answer:
diameter ≈ 11 feet
Step-by-step explanation:
The area (A) of a circle is calculated using the formula
A = πr² ← r is the radius
To find r divide both sides of the equation by π
r² = [tex]\frac{A}{\pi }[/tex] = [tex]\frac{95.03}{\pi }[/tex]
Take the square root of both sides
r = [tex]\sqrt{\frac{95.03}{\pi } }[/tex] ≈ 5.5 feet
Diameter = 2r = 2 × 5.5 = 11 feet
A circle is a curve sketched out by a point moving in a plane. The diameter of the circle whose area is 950.3 square feet is 11 feet.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As it is given that the area of the circle is 95.03 square feet. Therefore, if we apply the area of the circle, we will get,
[tex]\text{Area of the circle} = \pi r^2[/tex]
where r is the radius of the circle,
[tex]\rm 95.03 = \pi r^2\\\\r = \sqrt{\dfrac{95.03}{\pi}}\\\\r = 5.4999 \approx \rm 5.5\ feet[/tex]
The radius of the circle is half the diameter of the circle, therefore, the diameter of the circle,
[tex]\rm Radius = \dfrac{Diameter}{2}\\\\5.5 \times 2 = Diameter\\\\Diameter = 11\ feet[/tex]
Thus, the diameter of the circle whose area is 950.3 square feet is 11 feet.
Learn more about Circle:
https://brainly.com/question/11833983
bruhhhh helppppppp meww
Answer:
B
Step-by-step explanation:
Given
V = [tex]\frac{Bh}{3}[/tex]
Substitute the given values for B and h into the formula
V = [tex]\frac{15(28)}{3}[/tex] = [tex]\frac{420}{3}[/tex] = 140 in³
Find RT of the triangle
Answer:
[tex]\large\boxed{RT=\sqrt{165}}[/tex]
Step-by-step explanation:
PT = NT. Therefore we have the equation:
[tex]4x-17=x+10[/tex] add 17 to both sides
[tex]4x=x+27[/tex] subtract 4x from both sides
[tex]3x=27[/tex] divide both sides by 3
[tex]x=9[/tex]
Therefore
[tex]NT=4(9)-17=36-17=19[/tex]
Use the Pythagorean theorem:
[tex]RT^2+RN^2=NT^2[/tex]
Substitute RN = 14 and NT = 19:
[tex]RT^2+14^2=19^2[/tex]
[tex]RT^2+196=361[/tex] subtract 196 from both sides
[tex]RT^2=165\to RT=\sqrt{165}[/tex]
A rental car agency charges $ 160.00 per week plus $ 0.25 per mile to rent a car. How many miles can you travel in one week for $ 370.00 question mark
Answer:
Report Me and sub To PewDiePie
Step-by-step explanation:
Find tan A for the triangle below.
a. 2.5 b. 0.4 c. 2.67 d. 0.375
It's A. 2.5
It's not B that person is wrong.
complete the table. round your entires to the nearest thousandth.
Answer:
a≈2.594
b≈2.705
c≈2.718
d≈2.718
e≈2.718
Step-by-step explanation:
To solve this exercise you must substitute the corresponding values of x shown in the table, into the function given.
To find a, substitute x=10, then:
a≈[tex]y=(1+\frac{1}{10})^{10}[/tex]
a≈2.594
To find b, substitute x=100, then:
b≈[tex]y=(1+\frac{1}{100})^{100}[/tex]
b≈2.705
To find c, substitute x=10,000:
c≈[tex]y=(1+\frac{1}{10,000})^{10,000}[/tex]
c≈2.718
To find d, substitute x=100,000:
d≈[tex]y=(1+\frac{1}{100,000})^{100,000}[/tex]
d≈2.718
To find e, substitute x=1,000,000:
e≈[tex]y=(1+\frac{1}{1,000,000})^{1,000,000}[/tex]
e≈2.718
Answer:
just took the test and heres ur answers
2.594
2.705
2.718
2.718
2.718
promise these are the answers
Step-by-step explanation:
What is -4-2? Help please
[tex]\bold{Hey\ there!} \\ \bold{-4-2\downarrow}\\ \bold{-4+(-2)}\\ \\ \\ \\ \bullet \bold{negative\ and\ negative = positive} \\ \bullet{\bold{positive\ and\ negative=negative}} \\ \bullet\bold{negative\ and\ positive=negative}\\ \bullet\bold{positive\ and\ positive= positive} \\ \\ \\ \boxed{\bold{This\ means\ that\ your\ answer\ will\ turn\ out\ to\ be\ a\ negative!}} \\ \\ \\ \\ \boxed{\boxed{\bold{Answer:-6(Option\ A.)\checkmark}}}[/tex]
[tex]\bold{Good\ luck\ on\ your\ assignment\ and\ enjoy\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]
Answer:
The answer is -6
Step-by-step explanation:
Help me with this question
Answer:
A
Step-by-step explanation:
This is an even polynomial because both ends end up. This means the degree of the polynomial is even. This means b and c are not solutions since their degrees are odd.
To determine between A and D look at the x-intercepts. The x-intercepts of a polynomial graph have a special relationship with its equation. The x-intercepts are the solutions or roots of the factors. This means that when each factor is set equal to 0 and solved, its solution is an x-intercept. Here the x-intercepts are x = -1, 0,3. This means the factors are x(x+1)(x-3).
Notice at x = -1, the function touches but does not cross? This means the factor has an even exponent on it.
So the expression is likely x(x+1)^2 (x-3).
Since only one factor has an exponent, the answer is A.
Write a mixed number between 7 and 8, and then write its reciprocal.
Answer:
7 1/2 reciprocal: 9
Step-by-step explanation:
Flip the fraction for the reciprocol
The measure of angle θ is 3pi/2 . The measure of its reference angle is /, and tan θ is .
Answer:
Reference angle: [tex]\frac{\pi}{2}[/tex]
[tex]tan(\theta)=tan(\frac{3\pi}{2})[/tex] is not defined.
Step-by-step explanation:
The angle [tex]\theta[/tex] goes from the positive x-axis to the negative y-axis.
Therefore the reference angle can be calculated as following:
[tex]\frac{3\pi}{2}-\pi=\frac{\pi}{2}[/tex]
We know that [tex]tan(\theta)[/tex]is:
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
If [tex]\theta=\frac{3\pi}{2}[/tex] then [tex]cos(\frac{3\pi}{2})=0[/tex], therefore [tex]tan(\frac{3\pi}{2})[/tex] is not defined, because the division by 0 is not defined.
Answer:
I know for a fact that the reference angle for 3pi/2 is pi/2 so the first one is A, and if I'm not mistaken, the second one should be undefined.
Step-by-step explanation:
if 3 1/2 is equivalent to 7/2 what is equivalent to 2 1/9
Answer:
[tex]\frac{19}{9}[/tex]
Step-by-step explanation:
To change the mixed number to an improper fraction.
Multiply the whole number by the denominator of the fraction and add the numerator. The denominator remains unchanged, that is
2 [tex]\frac{1}{9}[/tex]
=[tex]\frac{2(9)+1}{9}[/tex] = [tex]\frac{19}{9}[/tex]
Which number is a factor of 15?
6
8
5
45
5 is the factor of 15
Answer:
5Step-by-step explanation:
[tex]The \factors\ of\ 15:\ 1,\ 3,\ 5,\ 15\\\\15=1\cdot15\\15=3\cdot\boxed5\\15=5\cdot3\\15=15\cdot1[/tex]
ason buys a pizza for $\$15.59$. He also buys $6$ sodas. Each soda costs the same amount. He spends $\$23.33$ on the pizza and the sodas.
Jason finds the cost of each soda by calculating $(23.33\ -\ 15.59)\ \div\ 6$. Tim finds the cost of each soda by solving the equation $15.59\ +\ 6c\ =\ 23.33$, where $c$ is the cost of each soda.
Which approach uses the sequence of operations necessary to find the cost of each soda: Jason’s, Tim’s, both, or neither? Explain why.
Answer:
Both because they're basically the same thing ;-;
Step-by-step explanation:
1) 23.33 - 15.59 = 7.29
7.74/6 = 1.29 So he bought 1 soda ;-;
2) 15.59 + 6c = 23.33 - Subtract 15.59 from both sides:
6c = 7.74 - Divide both sides by 6
c = 1.29 So he bought 1 soda again
The rest of the money is probably the tax so ;-;
Good luck and hopefully I helped!
add and simplify
(2x^2-11x)+(3x^2+10x-4)
the answers are either -
6x^2-11x-4
5x^4
5x^2-x-4
5x^2-4
Answer:
5x^2-x-4
Step-by-step explanation:
Combine the terms.
what is the area of the figure drawn on the coordinate plane below?
Answer:
C
Step-by-step explanation:
You can just count the number of squares (which I did)
Or you can divide the composite shape into multiple rectangles, find their side lengths, and use the rectangle area formula to find the areas of each of the rectangles and add them all up together.
You could break it down into shapes or just count the squares. It looks like the area is C) 71
Finding the area of a circle with a circumference of 53.41 inches
A≈227 would be your answer, hope this helps
Final answer:
To find the area of a circle with a circumference of 53.41 inches, calculate the radius using r = C / (2π) and then find the area using A = πr². The area is approximately 226.795 square inches.
Explanation:
To find the area of a circle given its circumference, you can use the formula for the circumference, C = 2πr, where C is the circumference and r is the radius. From there, you can derive the radius and then calculate the area using the formula A = πr². Given that the circumference is 53.41 inches, we first find the radius (r).
The formula for circumference (C) simplifies to r = C / (2π). Thus, r = 53.41 inches / (2×3.14), which gives us r = 53.41 / 6.28 = approximately 8.5 inches. Now that we have the radius, we can plug it into the area formula A = πr². Using the given radius, the area A equals 3.14×8.5² inches², which is about 3.14×72.25 inches² = 226.795 inches² (rounded to three significant figures).
solve the equation using the Quadratic Formula. Round your solutions to the nearest tenth if necessary.) please help I need explanation I'm stuck on this I need your help please
Answer:
Quadratic Formula x = [-b +- Sq root (b^2 - 4ac)] / 2a
In this example a= 2 b= -6 c= 5
x = [- - 6 +- Sq root ((-6^2) - 4 *2*5)] / 2*2
x = [6 +-sq root (36 -40)] / 4
x = 6 +- 2i / 4
x1 = 1.5 + .5i
x2 = 1.5 -.5i
Step-by-step explanation:
Answer:
x = 1.5 - .5i and 1.5 + .5i
Step-by-step explanation:
to start off - this is the quadractic fromula: x = -b ± √b²-4(a)(c) / 2(a)
a = 2x²
b = -6x
c = 5
now you just fill the numbers in to the formula!!
x = -(-6) ± √(-6)²-4(2)(5) / 2(2)
x = 6 ± √36 - 40 / 4
x = 6 ± √-4 /4
x = 6 ± 2i / 4
x = 6+ 2i/4 and 6 - 2i/4
x = 1.5 + .5i amd 1.5 - .5i
hope this helps!!
Solve the quadratic equation by completing the square. 3x2 - 6x - 4 = 0
Answer:
The solutions are
[tex]x=1+\sqrt{\frac{7}{3}}[/tex]
[tex]x=1-\sqrt{\frac{7}{3}}[/tex]
Step-by-step explanation:
we have
[tex]3x^{2}-6x-4=0[/tex]
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]3x^{2}-6x=4[/tex]
Factor the leading coefficient
[tex]3(x^{2}-2x)=4[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex]3(x^{2}-2x+1)=4+3[/tex]
[tex]3(x^{2}-2x+1)=7[/tex]
Rewrite as perfect squares
[tex]3(x-1)^{2}=7[/tex]
[tex](x-1)^{2}=\frac{7}{3}[/tex]
square root both sides
[tex]x-1=(+/-)\sqrt{\frac{7}{3}}[/tex]
[tex]x=1(+/-)\sqrt{\frac{7}{3}}[/tex]
[tex]x=1+\sqrt{\frac{7}{3}}[/tex]
[tex]x=1-\sqrt{\frac{7}{3}}[/tex]
Answer: is in picture below
Step-by-step explanation:
Use the graph to write the factorization of x^2+4x-5
Answer: OPTION C
Step-by-step explanation:
By definition, the roots of the quadratic function are the interceptions of the parabol with the x-axis.
As you can see in the graph, the parabola intersects the x-axis at:
[tex]x=-5\\x=1[/tex]
Then these are the roots.
Therefore, this means that:
[tex]x=-5\\x+5=0\\\\x=1\\x-1=0[/tex]
So, the factorization is the following:
[tex](x+5)(x-1)=0[/tex]
ANSWER
[tex]y = (x + 5)(x - 1)[/tex]
EXPLANATION
From the graph, the x-intercepts are
[tex]x = 1[/tex]
and
[tex]x = - 5[/tex]
This implies that (x-1) and (x+5) are factors of the function represented by the graph.
Therefore we factor the function as
[tex]y = (x + 5)(x - 1)[/tex]
The correct choice is C.