Answer:
9 tables
12 stools
Step-by-step explanation:
x= number of tables
x+3= number of stools
4x+3(x+3)=72
4x+3x+9=72
4x+3x=72-9
7x=63
x=9
So he built 9 tables and 12 stools
(9x4=36, 3X12=36, 36+36=72) CHECK
-56 divided by -8 find the quotient
Answer:
7
Step-by-step explanation:
We can see that we have a negative number divided by a negative number, so the negatives cancel each other out.
[tex]56\div8[/tex]
We know that 8 will go into 56 7 times, so [tex]-56\div-8=7[/tex].
Hope this helped!
Answer:
7
Step-by-step explanation:
16. Expand (2x - 1)(x - 3).
A. 2x2 - 7X+3 B. 2x2 +7x+3
C. 2x2-7X-3 D. 2x2+7X-3 E. x2+7X-3
Answer:
Hey there!
[tex](2x-1)(x-3)[/tex]
[tex]2x^2-1x-6x+3[/tex]
[tex]2x^2-7x+3[/tex]
Hope this helps :)
Answer:
see below
Step-by-step explanation:
the simple answer is a if you need an explanation just comment
In the Rhombus, m<3=80. Find m<2
160
80
50
40
==============================================
Explanation:
The diagonal cuts the rhombus into two congruent isosceles triangles. We know they are isosceles because the non-diagonal sides are equal in length (since all four sides of a rhombus are the same length).
Let x be the measure of angle 1. This is one base angle. The other base angle is also x as well. The third angle of the bottom triangle is angle 3, which is given to us at 80 degrees. For any triangle the three angles always add to 180.
x+x+80 = 180
2x+80 = 180
2x = 180-80
2x = 100
x = 100/2
x = 50
Angle 1 is therefore 50 degrees.
Angle 2 is also 50 degrees because angles 1 and 2 are congruent alternate interior angles. Any rhombus is a parallelogram (but not the other way around) so the top and bottom lines of the rhombus are parallel, allowing the alternate interior angles to be congruent.
Answer:
m<2 = m<1 = 50°
Step-by-step explanation:
In a Rhombus, Diagonals intersect at 90° as well bisect angles.
Therefore, in a triangle formed by <1, 90° at the diagonal intersection and angle bisection of <3 = 40°.
m<1 = m<2 = 50°
Find the area of the shaded region
Answer:
5x^2 +24x +1
Step-by-step explanation:
First you'll want to find the area of the larger rectangle, and then you'll subtract the area of the smaller rectangle (which is not shaded) to get your answer.
Larger Rectangle:
A = length * width
A = (2x + 3)(4x - 5) = (8x^2 - 10x + 12x - 15) = 8x^2 + 2x - 15
Smaller Rectangle:
A = length * width
A = (x - 8)(3x + 2) = (3x^2 + 2x - 24x - 16) = 3x^2 - 22x - 16
Larger Rectangle minus Smaller Rectangle:
(8x^2 + 2x - 15) - (3x^2 - 22x - 16)
5x^2 +24x +1
D( Geese fly in V formation. The V forms a right angle that has 16 geese on 1 side and 12 geese on the other side. How many gesse would fill in the gap between the ends of each sides of the V formation?
Answer:
20 gesse will fill the gap
Explanation:
We were told that the V forms a right angle which means the angle is at 90 degrees.
From trigonometry, for a right angle triangle we have the opposite, hypotenose and adjacent, then here the 12 side is the opposite and 16 sides is the adjacent, then the hypotenose will be the gap we are looking for using below expression
a²+ b²= c²
So,
12²+ 16²= c²
144 + 256 = c²
c=√(144 + 256)
c = √400
c=20
Therefore, 20 gesse will fly in the missing gap of the V formation.
CHECK THE ATTACHMENT FOR THE TRIANGLE
BEST OF LUCK
you need 3 sticks of butter for every 24 cookies how many cookies can you bake with 5 sticks of butter?
Answer:
40
Step-by-step explanation:
The first box is 2--> 16*3 divided by 24= 2
Second box is 40--> 5*24 divided by 3= 40
Hope it helps.
A line passes through the point (4,8) and has a slope of -3/2
Write an equation in Ax+By=C
Answer:
The answer is
3x + 2y = 28Step-by-step explanation:
To find an equation of the line using a point and the slope we use the formula
y - y1 = m(x - x1)
where
m is the slope
(x1 , y1) is the point
From the question
slope = -3/2
Point = (4,8)
So the equation of the line is
[tex]y - 8 = - \frac{3}{2} (x - 4)[/tex]
Multiply through by 2
2y - 16 = -3( x - 4)
2y - 16 = - 3x + 12
3x + 2y = 16 + 12
We have the final answer as
3x + 2y = 28Hope this helps you
What is the probability of the complement of rolling a number less than 5 by using a six sided dye
Answer:
2/3
Step-by-step explanation:
Less than 5 is 1,2,3,4 and 4 out of 6 is also equal to 2/3
Does anyone know this
=================================================
Explanation:
The graph goes on forever to the left and right. This means any real number x can be plugged into the function to get some output y. The domain is the set of all real numbers. In interval notation, we would say [tex](-\infty, \infty)[/tex] which is another way of saying [tex]-\infty < x < \infty[/tex]
The range is y > -100 because the exponential graph steadily approaches this horizontal asymptote. Think of it like an electric fence you cannot touch. Since we never actually get to this y value, this means y = -100 is not part of the range. Your teacher made a typo when they wrote [tex]y \ge -100[/tex] and instead they should have written [tex]y > -100[/tex]. So basically y can be anything larger than -100. The graph may look like it eventually reaches y = -100 itself, but it's actually just getting closer and closer to this y value. To write the range in interval notation, we would say [tex](-100, \infty)[/tex]
This function is exponential because it has the general shape all exponential growth functions do. We have a fairly flat part with very slow growth at first, but then as time goes on, the growth rate increases dramatically resulting in the very steep curve.
Quartic polynomials are 4th degree polynomials. They have the same end behavior as quadratic functions do, since both are even degree polynomials. We don't have a quartic here because the left end behavior isn't going off to positive infinity as the right end behavior is.
Please answer it now in two minutes
Answer:
x = 84
Step-by-step explanation:
∠ UWV is an angle in a semicircle and is right = 90°
VW = UW thus Δ UVW is right isosceles, thus
∠ UVW = ∠ WUV = 45° ( sum of angles in triangle ) , thus
x - 39 = 45 ( add 39 to both sides )
x = 84
need help with my hw make H the subject of the formula x = 5h + 8
Answer:
h = (x - 8)/5
Step-by-step explanation:
Step 1: Write out expression
x = 5h + 8
Step 2: Isolate variable h (Subtract 8 on both sides)
x - 8 = 5h
Step 3: Isolate h (Divide both sides by 5)
(x - 8)/5 = h
Step 4: Rewrite
h = (x - 8)/5
Can someone pls help and explain it
Answer:
(7,-4) ; 12
Step-by-step explanation:
Basically, three corners of a rectangle are already on the graph. If you put a dot at (7,-4), that is the last corner(vertex) that finishes the rectangle
Then to find base of the rectangle, you find the length of the longer side, (the distance between the x coordinates). So you would subtract -5 from 7 and get 12, and 12 is the length of your base.
Which number is in the 3rd position after ordering in
descending order. V220,-10, V100, 11.5
Answer:
√100
Step-by-step explanation:
Given the following numbers: √220, -10, √100, 11.5,
Let's arrange the numbers from the largest to the smallest (in descending order).
Note: √220 ≈ 14.8
√100 = 10
From the largest to the smallest number, we have: √220, 11.5, √100, -10
Therefore, the number in the third position is √100
If you invest $600 at 5% interest compounded cptinuously, how much would you make after 6 years?
Answer:
180
Step-by-step explanation:
1) 600 % 100 = 6 (to get 1% of 600)
2) 6 x 5 = 30 (to get 5% pf 600)
3) 30 x 6 =180 (to get the amount of profit per the 6 years)
please give brainliest if this helps
Briefly explain how you would graph an equation such as y=7x-2
Answer:
put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant
Step-by-step explanation:
Add this matrix to find the answer.
Answer:
[tex]\huge\boxed{Option \ 2:\left[\begin{array}{ccc}6&1\\1&5\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&0\\-1&3\end{array}\right] +\left[\begin{array}{ccc}5&1\\2&2\end{array}\right][/tex]
Adding both the corresponding elements
[tex]\left[\begin{array}{ccc}1+5&0+1\\-1+2&3+2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&1\\1&5\end{array}\right][/tex]
Find the marked angle P
Answer:
the answer is (d) 57°
Step-by-step explanation:
since it's a straight angle it equals to 180°
you divide 180° from 123°
Evaluate. Write in standard form.
Answer:
-i
Step-by-step explanation:
(-i)^0 = 1
(-i)^1 = -i
(-i)^2 = -1
(-i)^3 = -i
(-i)^4 = 1
(-i)^5 = -i
etc.
From this pattern, you see that when the exponent is a multiple of 4, you get 1. When the exponent is a multiple of 4 plus 1, you get -i, etc.
213 = 4 * 53 + 1
213 is 1 more than a multiple of 4.
(-i)^213 = (-i)^1 = -i
Elena I drink 3 Liters water yesterday do you drink 3/4 Times as much water as a Lena Raine drink twice as much water as Jada Jada drink more little or less water than a Lena explain how you know
Answer:
less water
Step-by-step explanation:
Elena has drank 3 liters
and you drank 3/4 times so multiply it
3/4*3/4=9/16
3 is more than 9/16
Answer:
lesser water
Step-by-step explanation:
3 is 3 wholes.
9/16 is less than 1...
Which point on the number line best represents√57?
Answer:
8.
Step-by-step explanation:
[tex]\sqrt{57} =\sqrt{3 * 19}[/tex]
Since this cannot be further simplified, we will calculate the square root of 57 with our calculators.
We find that the square root of 57 is 7.549834435, and since the tenths place is a 5, we will round up to the next whole number. So, the point on the number line that best represents the square root of 57 is 8.
Hope this helps!
You check 20 batteries.Fourteen of the batteries do not have a charge. What is the experimental probability that the next battery you check does not have a charge?
Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that
Number of batteries that do not have a charge = 14
Total number of batteries = 20
To find:
Experimental probability that the next battery checked does not have a charge = ?
Solution:
First of all, let us learn about the definition of experimental probability.
Probability is the chances of happening of an event.
Formula for probability of happening of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here we have to find the probability of checking a battery that has no charge.
So, number of favorable cases = Number of batteries that do not have a charge = 14
AND
Total Number of cases = Total number of batteries to be checked = 20
So, the required probability is:
[tex]\dfrac{14}{20} = \bold{\dfrac{7}{10}}[/tex]
¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?
Answer:
El área del rectángulo es:
27 cm²
Step-by-step explanation:
Consideración:
La formula del perímetro de un rectángulo es:
p = 2(altura + base)
Planteamiento:
24 = 2(a+b)
b = 3a
a = longitud de la altura del rectángulo
b = longitud de la base del rectángulo
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
24 = 2(a + 3a)
24/2 = 4a
12 = 4a
a = 12/4
a = 3 cm
de la segunda ecuación del planteamiento:
b = 3a
b = 3*3
b = 9 cm
Comprobación:
de la primer ecuación del planteamiento:
24 = 2(3+9)
24 = 2*12
Respuesta:
la formula del área de un rectángulo es:
A = base * altura
A = 9cn * 3cm
A = 27cm²
The Area of rectangle is 27 unit².
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter = 24 cm
let the height of rectangle be x.
then the base= 3x
Now, Perimeter of rectangle= 2 ( l + w)
24 = 2( x+ 3x)
12 = 4x
x= 12/4
x= 3 units
So, length= 9 units and width= 3 units
Thus, Area of Rectangle= l x w
= 9 x 3
= 27 unit²
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ3
The translated Question is:
What is the area of a rectangle, knowing that its perimeter measures 24 cm and that its base is three times its height?
Given the function f(x) = x + 7 What would the input have to be so that f(x) = 15?
I really need help with question.
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
in this we have given the value of f(x) = 15
[tex]f(x) = x + 7[/tex]
[tex]f(15) = 15 + 7[/tex]
[tex]f(15) = 22[/tex]
so this is ur answer
hope it helps .
A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?
40 pigs.
Step-by-step explanation:p=pigs c=chickens.
4p=pigs have 4 legs.
2c=chickens have 2 legs.
4p+2c=200
p+c=60
Do the elimination method:4p+2c=200
(-4)p+c=60
4p+2c=200
-4p-4c=-240
-2c=-40
c=20
p+20=60
p=60-20
p=40
Hope this helps!
BRAINLIEST would help me a lot:)
hi, please help me :)
Answer:
D. Linear
The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).
According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0
Answer:
C) C < 4
Step-bay-step explanation:
> means "greather than"
< means "less than"
The only statement that is true:
C) C< 4
Simplify 4 to the 2nd power times 4 to the eighth power 
A. 4 to the 16th power
B. 4 to the 10 power
C. 16 to the 16 power
D. 16 to the 10 power
Please help ASAP!!!!!!!!
Answer:
4 to the power of 10.
Step-by-step explanation:
A rule is that x to the power of y + x to the power z of must equal x to the power of z+y.
Answer:
Option B
Step-by-step explanation:
4²×4^8
4^(2+8)
4^10
4 to the 10th power
The Three Stooges are having a pie eating contest. In 3 hours, Moe can eat 36 pies, Larry can eat 30, and Curly can eat 60. How many hours does it take them to eat 126 pies?
Answer:
3 hours
the information states in 3 hours they eat 36+30+60 = 126 pies.
Answer:
Altogether, the three stooges will consume 126 pies in three hours.
Step-by-step explanation:
1. In one hour, the three stooges can eat their total divided by three: Moe can eat 12 in one hour, Larry can eat 10 in one hour, and Curly can eat 20 in one hour. Therefore, the three stooges can eat 42 pies in one hour altogether. So, we have the equation 126 = 42h where h = the number of hours. Solving for 126 gives us 126/42 = h. h = 3. The three stooges can eat 126 pies in three hours.
How many solutions are there for the absolute value equation, |16 + t| = – 3
Answer:
no solutions
Step-by-step explanation:
|16 + t| = – 3
Absolute values are greater than or equal to zero
They cannot be negative so there are no solutions
Answer:
no solutions
Step-by-step explanation:
|16 + t| = – 3
Absolute values are greater than or equal to zero
They cannot be negative so there are no solutions
Ahmad has some files.
زرا
He gave
of the files and had 14 files left.
5
How many files did he have at first?
Step-by-step explanation:
why did u add the 5 in the question?.