Answer:
∠DBC
Step-by-step explanation:
Since ∠ABD shares the same vertex and side with ∠DBC, then they are adjacent angles.
what is 4x + 5 = 6x - 7
Answer: x = 6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
4x + 5 = 6x - 7
-5 -5
4x = 6x - 12
-6x -6x
-2x = -12
/-2 /-2
x = 6
Mrs. Griffin wants to plant soybeans and corn on 100 acres of land. Soybeans require 6 hours of labor per acre, and corn requires 8 hours of labor per acre. If Mrs. Griffin has 660 hours available, how many acres of each crop should she plant?
Please include how to solve the problem.
9514 1404 393
Answer:
soybeans: 70 acrescorn: 30 acresStep-by-step explanation:
Let x represent acres of soybeans. Then 100-x is the number of acres of corn. All of Mrs. Griffin's labor hours will be used when ...
6x +8(100-x) = 660
-2x +800 = 660 . . . . . simplify
x -400 = -330 . . . . . . . divide by -2
x = 70 . . . . . . . . . . . . . add 400
Mrs. Griffin should plant 70 acres of soybeans and 30 acres of corn.
_____
Additional comment
The problem is not well-specified, as there is no indication of the reason why Mrs Griffin should plant any number of acres of either crop. So, we assume the intent is to use all of the acres and labor hours available.
This makes the problem equivalent to a system of two equations in two variables. We effectively substituted (100-x) for the acres of corn, which might otherwise be its own variable.
Often, you're interested in maximizing or minimizing some objective function given these constraints. If we wanted to minimize labor, for example, we would plant all soybeans, since there is less labor involved. That would only require 600 hours of labor, instead of 660.
12a I need help please
Answer:
Step-by-step explanation:
The only way to solve this is to use trig. The supplement to theta is 180 - tan-1(5/4)
Tan-1 (5/4) = 51.34
Theta = 180 - 51.34 = 128.66
The cost of weddings in the United States has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $10,000. Listed below is a total cost in $000 for a sample of 8 Caribbean weddings. At the .005 significance level, is it reasonable to conclude the mean wedding cost is less than $10,000 as advertised?
10.1
12.6
9.5
9.5
11.4
9.5
8.6
9.4
(a)
State the null hypothesis and the alternate hypothesis. Use a .005 level of significance. (Enter your answers in thousands of dollars.)
H0: ? ?
H1: ? <
(b)
State the decision rule for .005 significance level. (Negative amount should be indicated by a minus sign.Round your answer to 3 decimal places.)
Reject H0 if t <
(c)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign.Round your answer to 3 decimal places.)
Value of the test statistic
(d)
At the .005 significance level is it reasonable to conclude the mean wedding cost is less than $10,000 as advertised?
(Click to select)RejectDo not reject H0. The cost is (Click to select)lessnot less than $10,000.
Answer:
Step-by-step explanation:
0
If a = 1, b = 3, c = 4, what is x? Use the formula x= c/ (b-a).
Answer:
Step-by-step explanation:
A=1,B=3,C=4
X= 4/(3-1)
X= 4/2
X=2
Ben had 4704 books. He puts 3 on each shelf. How many shelves did he have?
Answer:
Step-by-step explanation:
4704:3=1568
what is the square root of 93
Step-by-step explanation:
[tex]\sqrt{93}\approx 9.64365[/tex]
Factoring trinomials: m^2 +13m-36
Answer:
[tex]m^2 +13m-36[/tex] does not factor.
Explanation:
[tex]m^2 +13m-36[/tex] is not factorable with rational numbers.
6+ ? +12-2= 30
a) 10
b) 11
c) 14
d) 12
Answer:
c
Step-by-step explanation:
12 - 2 = 10
10 + 6 = 16
30 = 16 + x
x = 30 - 16
x = 14
Answer:
c) 14
Step-by-step explanation:
Solution:
Let the other number be x
Now,
6+x+12-2=30
6+x+10=30
x+16=30
x=30-16
x=14
Determine how fast you are driving if it takes you 50 seconds to drive from one mile marker to the next.
x • 1 + x/1=? ,,,,,,,,,,,,,,,,,,,,,
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ [/tex]
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ [/tex]
Anything divided by one results in itself.
[tex] \large \sf \: x\times 1+x [/tex]
Combine x × 1 and x to get 2x.
[tex] = \large \boxed{ \bf \: 2x}[/tex]
The correct answer is 2x.The coordinates of point T are (0,3). The midpoint of ST is (3,-2). Find the coordinates of point S.
Answer:
(6,-6) use midpoint formula
6 tenths times 8(please help)
Answer:
24/5 or 4.8
Step-by-step explanation:
This would be 6/10 multiplied by 8 making it 48/10 and if you simplify that you will get 24/5.
Answer:
4.8
Step-by-step explanation:
6 tenths can be written like this: 0.6
If you were to pretend the 0.6 was a six..
6*8=48
There actually is a decimal point and you must move it back to the left one place because there was one before the six
4.8
Boom.
What is the answer judicial mjf
A rectangular room is 5 meters longer than it is wide, and its perimeter is 26 meters. Find the dimension of the room.
Answer:
l=×+5
w=×
p=2(×+5+×)
=2(2×+5)
26=4×+10
26-10=4×
16=4×
×=4
length=5+4=9
width=4
The formula for the volume V of a cylinder is V=πr2h, where r is the radius of the base and h is the height of the cylinder. Select the formula for h. Then select the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
Answer:
Below in bold.
Step-by-step explanation:
V = πr^2h
Divide each side by πr^2:
V / πr^2 = h.
Height of the given cylinder
= 36π / π3^2
= 36/9
= 4.
Height = 4 cm.
The required height of the given cylinder is given as 4cm.
Given that,
The formula for the volume V of a cylinder is V=πr2h, where r is the radius of the base and h is the height of the cylinder, with a volume of 36π cm3 and a base with a radius of 3 cm height of the cylinder is to be determined.
Volume is defined as the ratio of the mass of an object to its density.
Here,
The volume of the cylinder,
V = πr²h
h = V/πr²
Substitute the value in the above equation,
h = 36π/π3²
h = 36/9
h = 4 cm
Thus, the required height of the given cylinder is given as 4cm.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ5
Find the value of x that makes the equation true.
12/x = 8/6
help!!
Answer:
9 =x
Step-by-step explanation:
12/x = 8/6
Using cross products
12 *6 = 8*x
72 = 8x
Divide each side by 8
72/8 = 8x/8
9 =x
Answer:
12/x = 8/6
cross multiply
8x = 12 × 6
x = 9
What is the word form for 2.26
Answer:
Im pretty sure it's two and twenty six thousandths
Answer:
Two and twenty six tenths
What is the fractional equivalent of the repeating decimal 0 2 ?
O A i
O B.
O c.
OD.
Simplify the expression below and show your work.
PLEASE ANSWER!! ASAP!
Answer:
[tex] \frac{2 {x}^{2} \sqrt{2 \times z} }{z} [/tex]
Step-by-step explanation:
attached
Please help as soon as possible.. I don’t understand this.
Answer:
45ft squared
Step-by-step explanation:
you multiply 3 by the radius which is 15
that gives you a total of 45
I need help with the perimeter
the measurements of a rectangular tablecloth are 94 cm and 64 cm.
how many cm does the perimeter of the tablecloth measure?
how many cm of fabric were used to make it?
Step-by-step explanation:
1) Perimeter = 2(l + w)
Perimeter = 2(94 + 64)
Perimeter= 2(158) = 361 cm
2) Fabric required = Area
Area = l × b
Area = 94 × 64
Area = 6016 cm²
The measurements of a rectangular tablecloth are 94 cm and 64 cm.
Solution and Answer:How many cm does the perimeter of the tablecloth measure?
Perimeter = 2(Length × Width)P = 2(l + w)P = 2(94 + 64)P = 2(158)P = 316 cmTherefore, the perimeter of the tablecloth is 316 cm.
How many cm of fabric were used to make it?
Area = length × widthA = l × wA = 94cm × 64 cmA = 6,016 cm²Therefore, the fabric is 6,016 cm².
Solve the equation 32^× . 25^× = 15^× + ^2 without using calculator.
Step-by-step explanation:
[tex] \frac{( {32}^{x} \times {25}^{x})} { {15}^{x} } = {15}^{2} [/tex]
When you multiply two variables or numbers or with different bases but with the same exponent, you can simply multiply the bases and use the same exponent. For example:
x^a*y^a= (xy)^a
[tex] { (\frac{32 \times 25}{15} })^{x} = {15}^{2} [/tex]
[tex] { (\frac{32 \times 5}{3} })^{x} = {15}^{2} [/tex]
[tex] { (\frac{160}{3} })^{x} = 225[/tex]
x= log (225) ÷ log ( 160/3)
Match the numbers given below into the correct subset of real numbers.
Answer:
Step-by-step explanation:
Which expression is equivalent to the given expression?
(10c6d-5)(2c-5d4
Answer:
if you simplify the expression you will get
[tex]20c^{7}d - 20 {c}^{6} {d}^{2} [/tex]
Answer:
20c/d
Step-by-step explanation:
I got it right. Hope this helps.
help due today please
Answer:
angle ABD =55 degree
angle BCD= 125 degree
Step-by-step explanation:
angle ABD and angle DBC are supplementary angles.
Hence, angle ABD +angle DBC = 180 --equation 1
angle ABD = (2x+15) ---equation 2
angle BCD = (4x+45) ------equation 3
ABD+DBC=180
(2x+15) + ( 4x+45 ) = 180
2x+4x+15+45=180
6x+60=180
6x=180-60
6x=120
x=120/6=20
angle ABD= 2x+15= 2(20) +15
=40+15= 55 degree
angle BCD= 4x+45 = 4(20) +45
= 80+45= 125 degree
Hence, angle ABD =55 degree
angle BCD= 125 degree
Hope this helps.
How would you solve this for c?
Answer:
c = ab - df
Step-by-step explanation:
ab - c = df
》ab = c + df
c + df = ab
c = ab - df
Answer: c = -fd + ab
This is the same as saying c = ab - fd
==================================================
Work Shown:
[tex]\frac{ab-c}{d} = f\\\\\\ab-c = fd\\\\\\-c = fd-ab\\\\\\c = -fd+ab\\\\\\[/tex]
Explanation for each step:
This is the original equation.I multiplied both sides by d to undo the division.I subtracted ab from both sides.I multiplied both sides by -1, or I multiplied every term by -1, to fully isolate c.Answer true or false. Provide an examp
17. The set of negative numbers are closed under division.
Answer:
false
Step-by-step explanation:
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 6 fl oz. per minute. How fast was the pipe leaking in gallons per hour?
Answer:
2.8125 gallons per hour
Step-by-step explanation:
gallon = 128 fl oz
hour = 60 minutes
(6/128) x 60 = 2.8125
16-27+(+12)-(+7)+(-3)+9-(-11)
Answer:
11 is the answer after solving all this
Step-by-step explanation:
You can apply BODMAS to solve it easy
Answer:
yes 11 is the correct answer