Answer:
15
Step-by-step explanation:
5bc = 5(-3)(-1) = -15(-1) = 15
Name the plane that contains points A, D, and E.
B
S
point A
6
point B
(1)
О ВС
plane C
plane D
>
DE
plane ABC
plane S
plane 1
Answer:
Plane T
Step-by-step explanation:
The given points A, D, and E are shown as being on the plane T as follows
Point a lays on the boundary of the boundary between plane S and plane T
Points D and E are points on a line DE that is on the plane T
Therefore, given that the line DE and the point A all lay on the same plane T, the plane that contains points A, D, and E, is plane T.
Answer:
leave me a,ine
Step-by-step explanation:
Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds. In feet, what is the length of the other piece?
Answer: 4.5 pounds.
Step-by-step explanation:
Given : Weight of original pipe =45 pounds
Weight of first piece = 18 pounds
Then, Weight of other piece = 45- 18 = 27 pounds
Length of first piece = 3 feet
Let x be the length of other piece.
As length is directly proportional to weight.
Then, [tex]\dfrac{x}{27}=\dfrac{3}{18}[/tex]
[tex]\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5[/tex]
Hence, the he length of the other piece = 4.5 pounds.
A shoe factory produced 900 shoes on
Monday. The factory produced 20% more
shoes on Tuesday. How many shoes did
the factory produce on Tuesday?
Answer:
1,080 shoes
Step-by-step explanation:
Monday production= 900 shoes
Tuesday production=20% more shoes
That is,
20% more of 900
20/100 × 900
=0.2 × 900
=180 shoes
Total production on Tuesday=900 shoes + 180 shoes
=1,080 shows
The ratio of the number of boys to the number of girls on the swim team is 4:2. If there are 24 athletes on the swim team, how many boys than girls are there?
Answer:
We have 8 more boys than girls on the swim team.
Step-by-step explanation:
The ratio of boys to girls on a swim team is represented as:
4 : 2
Total number of athletes is given as 24
Total ratio is given as:
4 + 2 = 6
Step 1
We find the number of boys and girls
Number of boys = 4/6 × 24 = 16 boys.
Number of girls = 2/6 × 24 = 8 girls.
Therefore, since we have 16 boys and 8 girls on the swim team, we have 8 more boys than girls on the swim team.
Could someone help me with these 2 it’s for biology class but it’s a math related question.
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135
Answer:
∠ Y = 45°, ∠ X = 135°
Step-by-step explanation:
Since the 2 angles are supplementary, then
X + Y = 180 ← substitute X = 3Y
3Y + Y = 180, that is
4Y = 180 ( divide both sides by 4 )
Y = 45
and
X + Y = 180, so
X + 45 = 180 ( subtract 45 from both sides )
X = 135
Thus
∠ X = 135° and ∠ Y = 45°
Answer:
the answer is 135
Step-by-step explanation:
The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU:UV:VWTU:UV:VW is equal to 2:5:5.2:5:5. If TW=24,TW=24, find UV.UV.
Answer:
[tex]UV = 10[/tex]
Step-by-step explanation:
Given
[tex]TU : UV : VW = 2 : 5 : 5[/tex]
[tex]TW = 24[/tex]
Required
Determine UV
From the given parameters, we have that:
Ratio of TU = 2
Ratio of UV = 5
Ratio of VW = 5
First, we have to add up the total ratio;
Total = Ratio of TU + Ratio of UV + Ratio of VW
[tex]Total = 2 + 5 + 5[/tex]
[tex]Total = 12[/tex]
Next is to calculate the length of UV; as follows;
[tex]UV = \frac{Ratio\ of\ UV}{Total\ Ratio} * TW[/tex]
Substitute 5 for Ratio of UV; 12 for Total Ratio and 24 for TW
[tex]UV = \frac{5}{12} * 24[/tex]
[tex]UV = \frac{5 * 24}{12}[/tex]
[tex]UV = \frac{120}{12}[/tex]
[tex]UV = 10[/tex]
Hence; length of UV is 10 units
Jesse estimates that it will cost $300,000 to send his newborn son to a private college in 18 years. He currently has $65,000 to deposit in an account. What simple interest rate would he need so that $65,000 grows into $300,000 in 18 years
Answer:
Simple interest rate (R) = 20% (Approx)
Step-by-step explanation:
Given:
Final amount (A) = $300,000
Number of year (T) = 18
Amount deposit (P) = $65,000
Find:
Simple interest rate
Computation:
interest = Final amount (A) - Amount deposit (P)
interest = $300,000 - $65,000
interest = $235,000
interest = [PRT] / 100
235000 = [(65,000)(R)(18)] / 100
Simple interest rate (R) = 20.085
Simple interest rate (R) = 20% (Approx)
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
yes. 7 times 4.3 is equal to 30 and the first equations symbol is less then or equal to. good luck and hope this helps!
Step-by-step explanation:
Four times the sum of half a number and 6 is 48
Answer:
The number is 12Step-by-step explanation:
Let the number be x
Half a number is written as 1/2x
So we have
Four times the sum of half a number and 6 is 48 is written as
[tex]4( \frac{1}{2} x + 6) = 48 \\ 2x + 24 = 48 \\ 2x = 48 - 24 \\ 2x = 24[/tex]
Divide both sides by 2
That's
[tex] \frac{2x}{2} = \frac{24}{2} [/tex]
We have the final answer as
x = 12Hope this helps you
if 2x - 10 is x+25 how do u find x
Answer:
x=35
Step-by-step explanation:
[tex]2x - 10 = x + 25 \\ ⟹ 2x - x = 25 + 10 \\ ⟹ x = 35[/tex]
X=35
Step-by-step explanation:
2x - 10 = x + 25
2x - x = 25 + 10
Hence, x = 35
Pls help. Will mark brainliest
Answer:
see below (I hope this helps!)
Step-by-step explanation:
p² = 4x² * (q(1 + r² / y²) / S)
p²S = 4x² * q(1 + r² / y²)
p²S / 4x²q = 1 + (r² / y²)
p²S / 4x²q - 1 = r² / y²
y² = r² / (p²S / 4x²q - 1)
y = √( r² / (p²S / 4x²q - 1) = √(r²4x²q / (p²S - 4x²q))
what's -5 x -0.25? I don't know how to show the work
Answer:
1.25
Step-by-step explanation:
-5 x -.20 = 1
+
-5 x -.05 = .25
= 1.25
e. Is the a discrete random variable, a continuous random variable, or not a random variable? height of a randomly selected giraffe A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.
Answer:
The correct answer is:
It is a continuous random variable (B)
Step-by-step explanation:
Continuous Random Variables are variables that take on a number of possibilities of values that cannot be counted. The values have infinite possibilities. In this example, the height of a Giraffe measured in meters can be an unlimited possibility if values say, 10.5m, 15.22m 12.0m etc. The possibilities are endless.
Discrete Random variables are variables that take on a number of possibility of occurrences that can be counted. For instance, if a dice is rolled, the possibilities can either be a 1, 2, 3, 4, 5 or 6. There are six values that can be gotten, nothing in-between.
I think the answer is B.
Please check to make sure.
Does anyone know this
Answer:
A
Step-by-step explanation:
To figure out whether a graph is a function, you need to use the line test. The line test is where you pass a vertical line over the graph. If the vertical line crosses the graph more than once, the graph is not a function. You can use your pencil as a vertical line.
Graph 1 is not a function because the vertical line will cross the graph twice.
Graph 2 is a function because the vertical does not cross the graph twice.
Graph 3 is not a function because the vertical line will cross the graph twice.
Compare and contrast natural numbers and rational numbers.
Natural numbers are strictly only plain numbers like no percents or integers, such as 1, 2, 3, 4, 5, 6 etc. Natural numbers are whole numbers and positive, so 0 would not be considered natural since it is not positive or negative
Rational numbers are numbers like 1, -100, .33, -10000, 2.4, etc it can be ALMOST anything, rational numbers fit every category but one IRRATIONAL
Irrational numbers are numbers like pie (3.145.......) it goes on forever and ever if the number never stops and repeats its called a repeating decimal, (HUGE TIP, IF YOU CAN MAKE IT A FRACTION IS IS ALMOST ALWAYS RATIONAL)
Find the 135th term in the sequence of numbers below -4,9,22,35
Answer:
135th term=1738
Step-by-step explanation:
formula is an=a+(n-1)dso here a=-4
d=13
a135=-4+(134)13
=-4+1742
a135=1738
Linda Gramham's Cinnamon Sugar Graham Cupcake recipe for 36 cupcakes requires 1 1/4 cups of sugar. How much sugar is required for 900 cupcakes? Reduce to lowest terms.
Answer:
31.25 or 31 1/4 cups
Step-by-step explanation:
1 1/4 = 36
x = 900
=> 5/4 = 36
x = 900
Cross multiply
=> 5/4 * 900 = 36 * x
=> 4500/4 = 36x
=> 1125 = 36x
=> 1125 / 36 = 36x / 36
=> 31.25 = x
31.25 = 31 1/4
So, 31.25 or 31 1/4 cups are required for 900 cupcakes.
[tex]\frac{125}{4}=31\frac{1}{4}[/tex] cups of sugar is required for 900 cupcakes.
First, it is convenient to convert the mixed fraction corresponding to the time to improper. To do this, the integer is multiplied by the denominator, to which the numerator is added. Divide this result by the denominator. The denominator of the improper fraction will be the same as the mixed number had. In summary:
[tex]a\frac{b}{c}=\frac{c*a+b}{c}[/tex]
In this case:
[tex]1\frac{1}{4}=\frac{4*1+1}{4}[/tex]
Solving:
[tex]1\frac{1}{4}=\frac{4+1}{4}[/tex]
[tex]1\frac{1}{4}=\frac{5}{4}[/tex]
On the other side, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, where a, b and c are known and x is the value to be calculated:
a ⇒ b
c ⇒ x
So:
[tex]x=\frac{cxb}{a}[/tex]
In this case, the rule of three can be applied as follows: Linda Gramham's Cinnamon Sugar Graham Cupcake recipe for 36 cupcakes requires [tex]1\frac{1}{4}=\frac{5}{4}[/tex] cups of sugar. If 900 cupcakes are made, how much sugar is required?
36 cupcakes ⇒ [tex]\frac{5}{4}[/tex] cups of sugar
900 cupcakes ⇒ x
Then:
x= (900 cupcakes× [tex]\frac{5}{4}[/tex] cups of sugar)÷ 36 cupcakes
Solving:
x= [tex]\frac{125}{4}[/tex] cups of sugar
In summary,[tex]\frac{125}{4}=31\frac{1}{4}[/tex] cups of sugar is required for 900 cupcakes.
Learn more whit this similar problem:
https://brainly.com/question/23272271?referrer=searchResults
Is x = 3 a solution of the equation 3x − 5 = 4x − 9? Explain.
Answer:
no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.
Step-by-step explanation:
[tex]3(3)-5=4\\4(3)-9=3[/tex]
The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions.
Answer:
true
Step-by-step explanation:
because the question is he points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions. then it would equal 0
Answer:
Its because one is a positive integer and the other is a negative. So basically it is 3-3=0
Step-by-step explanation:
A job market expert said, “If this trend continues, we will see further increase in employees.” Which of the following graphs could represent the expert’s statement? a. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 6,570 on January 2000, increases to 6,800 on January 2001, decreases to 6,650 on March 2003, increases steadily to 7,300 on March 2006, stays at 7,300 on January 2007, then decreases steadily to 6,150 on August 2009. b. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 15,000 on January 2000 and increases steadily, to 16,300 on January 2003, 17,00 on January 2006, and 19,100 on January 2009. c. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 590 on January 2000, increases slightly to 615 on July 2001, decreases to 560 on March 2003, increases steadily to 790 on September 2008, then decreases sharply to 710 on August 2009. d. None of these
Answer:
the answer is B
Step-by-step explanation:
b
Answer:
B on edge
Step-by-step explanation:
Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags. What will Kermit think of Peggy's iced tea?
Answer:
c its right on khan
Step-by-step explanation:
An absolute value inequality is
Answer:
an inequality that has an absolute value sign with a variable inside.
Step-by-step explanation:
Anna's hair has grown 2/3 of an inch in the 6 weeks since her last haircut. How fast does her hair grow?
Answer:
1/9th of an inch
Step-by-step explanation:
2/3 times 6 = 2/18 = 1/9
Answer:
1/9
Step-by-step explanation:
17 points! please help thanks :)
The first step here is to arrange the data set's form least to greatest,
Sherelle: 26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85
Venita: 44, 45, 51, 51, 53, 53, 55, 57, 58, 62, 65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Now we can determine our 5 - number summary based on the numbers respective positions.
First Data Set,
(Five - Number Summary) - Minimum : 26, Quartile 1 : 60, Median : 69.5, Quartile 3 : 75, Maximum : 85
Second Data Set,
(Five - Number Summary) - Minimum : 44, Quartile 1 : 53, Median : 63.5, Quartile 3 : 73, Maximum : 79
Round 543,982 to the nearest thousand.
Answer:
544,000
Step-by-step explanation:
Answer:
544,000
Step-by-step explanation:
you look at the thoundsands place which is the three, then you look at the digit to the right ( 5-10 round up, below 0-4 round down)
What is the missing exponent?
Answer:
0
Step-by-step explanation:
( 2x^2 y^m) ^6 = 64 x^12
We are interested in the y variable
The y on the right is not there so we can write it as y^0
y^m^6 = y^0
We know that a^b^c = a^(b*c)
y^(m*6) = y^0
The bases are the same so the exponents have to be the same
6m =0
m=0
The missing exponent is 0
Two kids at a summer camp, Tina and Winston, are competing in a potato sack race. Tina is younger, so she is given a head start of 33 meters. When the race starts, Tina hops at a rate of 1 meter per second, and Winston hops 4 meters per second. Eventually, Winston will overtake Tina. How long will that take? How far will Winston have to hop? It will take ___ seconds for Winston to hop ___ meters and catch up to Tina.
Answer:
It will take Winston 11 seconds to hop 44 meters and catch up to Tina
Step-by-step explanation:
Set up an equation where x represents the number of seconds:
Tina will be represented by s + 33 since she goes 1 m/sec and she has a 33 meter head start, and Winston will be 4s. We need to find when Winston will catch up, so we need an equal sign.
s + 33 = 4s
Solve for s:
s + 33 = 4s
33 = 3s
11 = s
= 11 seconds
Then, plug in 11 as s to find how many meters he will go:
s + 33
11 + 33 = 44
= 44 meters
Melinda worked 6.5 hours at her job. She makes $9.50 per hour. How much money did she earn for the day ?
Answer:
$61.75
Step-by-step explanation:
Hello,
If Melinda earns $9.50 per hour and she worked 6.5 hours, then her earnings for that day was $61.75.
This is simply the product of $9.50 * 6.5 = $61.75.
This assumption of earnings doesn't include tax reductions, unless her hourly pay includes those.
Cheers.
solve this: a triangle has an engle of 38. this is a scalene right triangle. one of the sides are 8 in length. what are the other angles?
Answer:
52°, 90°
Step-by-step explanation:
The two acute angles in a right triangle are complementary, because the third angle is 90°. For acute angles A and B, we must have ...
90° + A + B = 180°
A + B = 90° . . . . . subtract 90°; definition of complementary angles
B = 90° - A
For angle A = 38°, this tells us ...
B = 90° -38° = 52°
The other two angles in the triangle are 90° and 52°.