Answer:
8
Step-by-step explanation:
solve the equation. 31-12n=211
Answer:
Step-by-step explanation:
31 - 12n = 21l Subtract 31 from both sides.
31-31-12n =211-31 Do the subtraction
-12n = 190 Divide by -12
-12n/-12 = 190/-12
n = -15.333333
What property is (a•3)x b = b x(a•3) Using algebraic Expressions
Answer: Commutative Property of Multiplication
Step-by-step explanation:
Commutative property is when two terms trade places.
(a · 3) × b = b × (a · 3)
Notice that (a · 3) switched places with b
Lauren had $57 in her account and made $10 per
hour babysitting. How much will she have in all if
she babysits for 4 hours?
97
10 times 4 is 40 40 plus 57 is 97
Answer: 97
Step-by-step explanation:
1. Take your $10 and multiply it by the four hours she babysits. --> 10•4=40
2. Take the answer you just received from the multiplication problem, 40, and add it by the amount of money she had in her account, $57. -->40+57=97
I hope this helps you!
The expression 9b+21 factored using gcf
Expressions can be split into equivalent expressions by factoring them.
The expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]
The expression is given as:
[tex]\mathbf{9b + 21}[/tex]
Express each term as a product of 3 (the GCF)
[tex]\mathbf{9b + 21 = 3 \times 3b + 3 \times 7}[/tex]
Factor out 3
[tex]\mathbf{9b + 21 = 3 (3b + 7)}[/tex]
Hence, the expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]
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Caroles age 8 years ago was 5 times carls age five years ago caroles age was 3 times carls age. How old is each now?
Answer:
(1) a+-+8+=+5%2A%28b+-+8%29
(1) a+-+8+=+5b+-+40
(1) 5b+-+a+=+32
and
(2) a+-+5+=+3%2A%28b+-+5%29
(2) a+-+5+=+3b+-+15
(2) 3b+-+a+=+10
Subtract (2) from (1)
(3) 2b+=+22
(3) b+=+11
Substitute this back in (1) or (2)
(1) 5%2A11+-+a+=+32
(1) a+=+55+-+32
(1) a+=+23
Carole is 23 and Carl is 11
Step-by-step explanation:
A box measures 3 1/2 ft by 1 1/3 ft by 2/14 ft what is the volume
Answer: 2/3^3
Step-by-step explanation:
To find the volume of a box, you use the formula, Lenth*Width*Height=Volume
The Lenth is 3 1/2. The width is 1 1/3 and the height is 2/14
Plug the values in formula
3 1/2*1 1/3*2/14
Covert the mixed numbers into imporper fractions so it is easier to solve
3 1/2=7/2
1 1/3=4/3
7/2*4/3*2/14
Reduce 2/14
2/14=1/7
7/2*4/3*1/7=7*4*1/(2*3*7)=28/42
Reduce 28/42=14/21=2/3
2/3 ft^3
Which of the following fractions is equivalent to 4/20
A. 3/15
B. 2/12
C. 1/10
D. 3/19
Please answer QUICKLY.
3/15 is equivalent to 4/20
In a sample of 94 widgets, 4 were defective. How many defective widgets would you expect in a sample of 282 widgets?
Answer:
12
Step-by-step explanation: 282 divided by 94 = 3
4x3=12
Answer:
12 defective widgets
Step-by-step explanation:
Here we calculate the "experimental probability:" 4 defective widgets out of 94 widgets comes out to a probability of being defective of 4/94, which of course could be reduced.
But we can go ahead and calculate the expected number of defective widgets by mult. that 282 widgets by the probability 4/94:
282 4
------- * ------- = 12
1 94
In this sample of 282 widgets, we could expect that 12 will be defective.
Colin Katz works at his father's restaurant eight hours a day, earning $10.75 an hour. He is asked to work
two additional hours at time and a half to help prepare for a banquet. How much will he earn for these two
hours of overtime?
The offered overtime hourly rate is 1.5 times the given hourly rate.
Correct Response;The amount he will earn for the two hours overtime is $32.25Methods by which the above value is calculated;The amount Colin Katz earns per hour = $10.75
The number of additional hours Colin Katz is asked to work = 2 hours
Rate at which the additional hours will be paid = Hourly rate and half = 1.5 hourly rate
Required:The amount he will earn for the additional hours.
Solution:The hourly rate for the additional hours = 1.5 × $10.75 = $16.125
Amount Colin Katz earns working 2 additional hours = 2 × $16.125 = $32.25
The amount he will earn for the two hours overtime = $32.25
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Write each rational number as a decimal. Then tell whether each decimal is a terminating or a repeating decimal. 4
__
12
Answer: 4/12 is 0.3333333333333333 so it would be repeating decimal
Step-by-step explanation: divide 4 by 12 and get 0.333
-2.4 divided by 5 1/3
Answer:
[tex]-0.45[/tex]
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors. you'll get your answer as [tex]-\frac{9}{20}=-0.45[/tex]
Which equation can be used to find 40 percent of 25?
100x4 400
40x4 = 16
40x4
160
25x4 - 100
40-4 10
100-4 - 25
Answer:
Step-by-step explanation:
40%=0.4
0.4*25=10
To calculate 40 percent of 25, you use the equation 0.40 x 25. This equation multiplies the decimal form of 40 percent by the total, which in this case is 25, resulting in the value of the part that represents 40 percent.
To find 40 percent of 25, you can use the equation that incorporates the base value (25) and the percentage you want to find (40%). In this case, the equation you're looking for is 0.40 x 25, which will give you the answer for what is 40 percent of 25.
Percentages can be calculated by using the formula: 'part over total, times one hundred, equals percent'. For example, if you have 25 students and want to find out what 40% of that number is, you would calculate 40/100, which is 0.40, and multiply by 25. The equation 0.40 x 25 is thus used to solve for the desired percentage.
A large patio brick weighs 4 38 pounds. A small patio brick weighs 2 13 pounds.How much more does the large brick weighs
Answer:
2.25
Step-by-step explanation:
You have to subtract 2.13 from 4.38
Example: 4.38-2.13
Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?
Answer:
x = - 2, x = 4
Step-by-step explanation:
Given
f(x) = (x - 4)(x + 2)
To find the x- intercepts let f(x) = 0, that is
(x - 4)(x + 2) = 0 ← in standard form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4 → (4, 0 )
x + 2 = 0 ⇒ x = - 2 → (- 2, 0 )
Julio wants to calculate 200,000 300,000. When he used
his calculator to multiply, it showed the result below:
6E-10
Write the number shown on the calculator display in
standard form
OA) 60,466,176
OB) 600,000,000
OC) 6,000,000,000
OD) 60,000,000,000
Answer:
D = 60,000,000,000
Step-by-step explanation:
When "E" appears on a calculator , it means exponential and it is used to denote numbers that are too big or small to appear on the calculator screen in their decimal form.
Therefore 6E-10 means 6 exponential 10 , mathematically written as 6^10
which is 60,000,000,000
remove all perfect squares from inside the square root
[tex] \sqrt{45} [/tex]
Answer:
3√5 or ≈6.7082
Step-by-step explanation:
1) √45
2) Factor out the perfect square: √3²×5
3) The root of a product is equal to the product of the roots of each factor: √3²√5
4) Reduce the index of the radical and exponent with 2: 3√5
5) Solution: 3√5 or ≈ 6.7082
after removing the perfect square factor from inside the square root of 45, we are left with 3√5.
To remove all perfect squares from inside the square root of √45, we need to factorize 45 and separate the perfect square factors.
The prime factorization of 45 is 3 × 3 × 5. Since 3 is repeated twice, it represents a perfect square factor.
We can rewrite the square root of 45 as the square root of (3 × 3 × 5). Using the property of square roots (√ab = √a × √b), we can simplify it as √(3 × 3) × √5.
The square root of 3 × 3 equals 3, so the expression simplifies to 3√5.
Therefore, after removing the perfect square factor from inside the square root of 45, we are left with 3√5.
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Angles a= 3x + 5 b= 5x - 18. C= 7x - 2
Answer:
x = 13.
So the 3 angles are a = 44, b = 47 and c = 89 degrees.
Step-by-step explanation:
If these are the angles are the 3 angles of a triangle they sum to 180 degrees, so:
3x + 5 + 5x - 18 + 7x - 2 = 180
15x - 15 = 180
15x = 195
x = 195/15
x = 13.
To find the values of angles a, b, and c given by the expressions 3x + 5, 5x - 18, and 7x - 2, we set up and solve equations involving these expressions. Once we find the value of x, we substitute it back into the expressions to find the angles.
Explanation:The question asks about angles given by the expressions a= 3x + 5, b= 5x - 18, and c= 7x - 2. In order to find the values of x and the corresponding values of angles a, b, and c, we need to set up and solve equations involving these expressions.
We can equate these expressions to given angles or to each other, and solve for x. Once we find the value of x, we can substitute it back into the expressions to find the angles.
For example, to find angle a, we substitute the value of x into the expression 3x + 5. Similarly, we substitute the value of x into the expressions 5x - 18 and 7x - 2 to find angles b and c, respectively.
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Is this mapping a function or not a function? Explain.
Yes, because the x-value 6 has two y-values paired with it.
No, because the x-value 6 has two y-values paired with it.
Yes, because each x-value has only one value paired with it.
No, because each x-value has only one y-value paired with it.
Answer:
a relation in which for every input there is exactly one output (for every x there is just one y)
Step-by-step explanation:
since you didn't give what was supposed to be a mapping function or not thats the best i can do
ill mark whoever answer this one first brainliest
Answer:
9/4 lbs (= 2 1/4 lbs)
Step-by-step explanation:
given original amount of chicken is 4 1/2 lbs ( = 9/2 lbs)
for half the recipe, we need half the amount of chicken
= 9/2 lbs x 1/2
= 9/4 lbs (= 2 1/4 lbs)
On a coordinate plane, square A B C D is shown. Point A is at (3, 4), point B is at (2, negative 2), point C is at (negative 4, negative 1), and point D is at (negative 3, 5). What is the perimeter of square ABCD? StartRoot 37 EndRoot units 4 StartRoot 37 EndRoot units 28 units 37 units
Answer:
4[tex]\sqrt{37}[/tex]
Step-by-step explanation:
Since the figure is a square, find the length of 1 side and multiply by 4 for perimeter.
Calculate the length of AB using the distance formula.
AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(3, 4) and (x₂, y₂ ) = B(2, - 2)
AB = [tex]\sqrt{(2-3)^2+(-2-4)^2}[/tex]
= [tex]\sqrt{(-1)^2+(-6)^2}[/tex]
= [tex]\sqrt{1+36}[/tex]
= [tex]\sqrt{37}[/tex]
Hence
perimeter = 4AB = 4[tex]\sqrt{37}[/tex]
Answer:
4 root 37units
Step-by-step explanation:
gl on the exam
PLEASE HELP ASAP: Sals sandwich shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of 1470 from lunch special last month, where x is the number of sandwich lunch specials sold y is the number of wrap lunch specials sold. 4. Graph the function using one of the following two options below. On the graph, make sure to label the intercepts.
Answer:
y intercept (0,490)
I would use (Graphing equation standard form) to identify x and y intercepts. I will Plot the y intercept (0,490) and the x intercept (735,0)
,It will Connect the two intercepts with a straight line
2x + 3y = 1,470
3y = -2x + 1470
y = (-2x + 1470 ) / 3
y = -2/3 * x + 1470/3
y = -2/3 * x + 490
slope is -2/3
y intercept is 490
x intercept (735,0)
Step-by-step explanation:
Answer:
[tex]2x+3y=1470[/tex]
Step-by-step explanation:
Givens
The profit on every sandwich is $2.The profit on every wrap is $3.Sal made $1470 in profits.So, [tex]x[/tex] represents the number of sandwiches and [tex]y[/tex] represents the number of wraps, so the profit on each food is
[tex]2x[/tex] and [tex]3y[/tex], so the sum of them must be equal to $1470, as follows
[tex]2x+3y=1470[/tex]
Which is a linear equation, that means if we graph, it would be a line.
To graph this, we just need to find two points.
For [tex]x=0[/tex], let's find [tex]y[/tex]
[tex]2x+3y=1470\\2(0)+3y=1470\\y=\frac{1470}{3}=490[/tex]
For [tex]y=0[/tex]. let's find [tex]x[/tex]
[tex]2x+3y=1470\\2x+3(0)=1470\\x=\frac{1470}{2}=735[/tex]
Therefore, the two points to graph the line are [tex](0,490)[/tex] and [tex](735, 0)[/tex]. Now, we graph these coordinates and draw a line that must cross them
The resulting graph should be like the image attached.
What is the length of bc?
Answer:
14.5
Step-by-step explanation:
Employ the SOH CAH TOA rule here.
So here you do Sin 65= x/16
solve for X you get 14.5
Slope (-4,-3) (8,-9)
Answer: -1/2
as in negative one over two
Step-by-step explanation:
Ronnie took a survey of eight of his classmates about the number of siblings they have and the number of pets they have. A table of his results is below.
# of Siblings 3 1 0 2 4 1 5 3
# of Pets 4 3 7 4 6 2 8 3
Which of the following does Ronnie's data represent?
A.
neither a relation nor a function
B.
a function only
C.
both a function and a relation
D.
a relation only
Answer:
D.a relation only
Step-by-step explanation:
Relation: It is mapping between two non empty set A and B.
In relation any input value can have two or more than two output values.
Function: It is that relation in which every input value has only one output .
All function are relations but all relations are not function.
In given data
Image of 3 =4
Image of 3=3
By definition of function
It is not a function.
By definition of relation
It is a relation.
Hence, option D is true.
Answer: D
RELATION ONLY//PLATO//EDMENTUM
Runways A and B are parallel to each other and perpendicular to Runway C. If Runway D makes a 35 degree angle with Runway Aaa show in the diagram, what is the measure of the angle marked in the diagram between Runways C and D?
Answer:
55°
Step-by-step explanation:
Draw the diagram according to the given data (see attached diagram).
In this diagram,
line AC is runway A;line BD is runway B;line AB is runway C.Note that ∠GCH=35°
Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.
Angles CDI and BDE are vertical angles, so angles CDI and BDE are congruent as vertical angles.
Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so
m∠BED=90°-m∠BDE
m∠BED=90°-35°=55°
When solving p^2 + 5 = 8p - 7. Kate wrote p^2 + 12 = 8p. The property she used was:
1) the associative property
2) the commutative property
3) the distributive property
4) the addition property of equality
Answer:
4)
Step-by-step explanation:
Because they just added the same equality. And when you move the -7 over the equal sign it makes it positive so it would be p^2 + 5 + 7 = 8p and that makes it p^2 + 12 = 8p
The property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.
Given to us
When solving p^2 + 5 = 8p - 7.
Kate wrote p^2 + 12 = 8p.
What property is used by Kate?As we can see Kate has simply added the number one, therefore, she had used the addition property of equality.
[tex]p^2 + 5 = 8p - 7\\\\p^2+5+7=8p\\\\p^2 + 12=8p[/tex]
Hence, the property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.
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Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x^2 - 7x - 1 = 0
which answers (in da pic)
HELP A BROTHA OUT!!!
The solutions to the quadratic equation 3x^2 - 7x - 1 = 0, using the quadratic formula, are x = [7 + sqrt(61)]/6 and x = [7 - sqrt(61)]/6.
Explanation:This question pertains to the solving of a quadratic equation using the quadratic formula. The quadratic formula is given by x = [-b ± sqrt(b^2 - 4ac)]/2a. In equation 3x^2 - 7x - 1 = 0, comparing it with the standard form of quadratic equation ax^2 + bx + c = 0, we can assign: a = 3, b = -7, and c = -1. Substituting these values into the formula, we get: x = [7 ± sqrt((-7)^2 - 4*3*(-1))]/2*3 = [7 ± sqrt(49 + 12)]/6 = [7 ± sqrt(61)]/6. So, the solutions to the equation are x = [7 + sqrt(61)]/6 and x = [7 - sqrt(61)]/6.
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PLEASE SOLVE THIS FOR ME!!!
show your work please
let's bear in mind that we have two fractions whose denominators are 2 and 4, thus their LCD will be 4, now let's multiply both side by that LCD to do away with the fractions, but let's add some first.
[tex]\bf 2-\left( 4-\cfrac{1}{2}x \right)=6\left( \cfrac{1}{4}x-1 \right)\implies 2- 4-\cfrac{x}{2} =\cfrac{6x}{4}-6 \\\\\\ -2-\cfrac{x}{2} =\cfrac{6x}{4}-6\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( -2-\cfrac{x}{2} \right)=4\left( \cfrac{6x}{4}-6 \right)}\implies -8-2x=6x-24 \\\\\\ 16-2x=6x\implies 16=8x\implies \cfrac{16}{8}=x\implies 2=x[/tex]
Help math question theres a graph
dang this is hard for me, let me think
A rectangle has an area of 90 square centimeters and a height of 12.5 centimeters. What is the length of the base?
Answer: l = 7.2
Step-by-step explanation:
90/12.5 = 7.2
7.2 * 12.5 = 90
Answer:
length of the rectangle is 7.2 centimeters.
Step-by-step explanation:
Area of the rectangle has been given as 90 square centimeters.
Height of the rectangle = 12.5 centimeters
Now we have to calculate the length of the rectangle.
Since, Area of the rectangle = Length × height
90 = 12.5 × length
Length = [tex]\frac{90}{12.5}[/tex]
= 7.2 centimeters
Therefore, length of the rectangle is 7.2 centimeters.