A map has a scale of 2 cm: 15 miles. The actual distance, x, from point A to point B, if these two points are 16
centimeters apart on the map, is
O 85 miles
O 120 miles
Answer:
120 miles
Step-by-step explanation:
2 cm / 15 miles = 16 cm / x Cross multiply
2x = 15 * 16
2x = 240 Divide by 2
2x/2 = 240/2
x = 120 miles
If an envelope + stamps cost $1.10.if the stamps costs $1 more than the envelope.what is the cost of the envelope in cents.
Answer:
100 cents
I think
Answer: 1.05
Step-by-step explanation:
Let x be the envelope
y is stamp (1)
==> x+y= 1.10 ($)
the stamps costs $1 more than the envelope, so
x-y=1 --> x=y+1, instead of wards (1), we get
y+1+y= 1.10 -> 2y+1=1.10
->y= 0.05 -> x= 1.05
An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and five outcomes possible for the third step. How many experimental outcomes exist for the entire experiment
Answer:
30 experimental outcomes exist for the entire experiment.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
Three outcomes possible for the first step.
Two for the second step.
Five for the third step.
How many experimental outcomes exist for the entire experiment?
Steps are independent, so, by the fundamental counting principle:
3*2*5 = 6*5 = 30
30 experimental outcomes exist for the entire experiment.
Which choice is equivalent to the product below for acceptable values of x?
√x+3. fx-3
Answer:
B
Step-by-step explanation:
Which choice is equivalent to the product below for acceptable values of x?
√x+3. fx-3
The answer is "B"
If a = 5, then what is the value of -(-a)?
Answer:
5
Step-by-step explanation:
It will remain 5 because two negatives make a positive.
-(-5) = 5
Hope this helps.
Answer:
5 ( REMEMBER TWO NEGATIVES MAKE A POSITIVE)
Step-by-step explanation:
When there is a - in front of an expression in parentheses, change the sign of each term in the expression 5
PLEASE HELP I WILL AWARD BRAINLY
Eight pipes were turned on to fill the pool in 36 hours. Then, after 12 hours some of the pipes were turned off, and the rest of the pool was filled in 32 hours. How many pipes were turned off?
Answer:
2 pipes
Step-by-step explanation:
So.. I'm not too sure either, but I'll try to solve it.
Equation: 4x=8 when x=number of pipes turned off after 12 hours
Since there were initially 8 pipes and there are 4 hours between 36 planned hours to fill the whole pool and 32 actual hours passed to fill the rest of the pool, you multiply them.
What is the perimeter of ABC?
Perimeter = ___ units.
Answer:
12 units
Step-by-step explanation:
From the given figure,
AB=4 units & BC=3 units
By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]
Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]
Thus, AC=5 units
Now, perimeter of triangle is equal to the sum of all sides.
Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
Answer:
Probability that she buys fruit or buys a CD or both. = 0.52
Step-by-step explanation:
Probability that she buys fruit = 0.4
Probability that she Does not buys fruit = 1 - 0.4 = 0.6
Probability that she buys CD = 0.2
Probability that she does not buys CD = 1 - 0.2 = 0.8
Probability that she buys fruit or buys a CD or both. = 1 - Probability that she does not but either
= 1 - (0.6)(0.8)
= 1 - 0.48
= 0.52
Or Probability that she buys both = (0.4)(0.2) = 0.08
Probability that she buys fruit or buys a CD or both. = 0.4 + 0.2 - 0.08
= 0.52
Probability that she buys fruit or buys a CD or both. = 0.52
If f(x) = 8x and g(x) = 2x +1 find (f o g) (x)
Answer:
(fog) (x) = 8*(2x+1)=16x+8
Step-by-step explanation:
This morning, the cafe served 8 coffees in all, 75% of which were regular. How many regular coffees did the cafe serve?
Answer:
6 regular coffees. Thank it if its helpful, thank you!
Step-by-step explanation:
75% of 8 is 6
Reasoning:
75/100*8/1=600/100
600/100=6!
Answer:
Regular coffee served by cafe = 75%* 8
= 75/100*8 = 6 coffees
Step-by-step explanation:
A train leaves at 15:43 and arrives at 17:13. It travelled at an average speed of 75 km/h.
How far did it travel? Give your answer in km to 1DP.
Can anyone answer this
Answer:
Distance cover by train = 112.5 km
Step-by-step explanation:
Given;
Speed of train = 75 km/h
Time started = 15:43 min
Time ended = 17:13 min
Find:
Distance cover by train
Computation:
Time started = 15:43 min = 15.716 hour
Time ended = 17:13 min = 17.216 hour
Total time taken = 17.216 - 15.716
Total time taken = 1.5 hour
Distance cover by train = Total time taken x Speed of train
Distance cover by train = 75 x 1.5
Distance cover by train = 112.5 km
What options are available to the decision maker if the probabilities of the states of nature are unknown?
Answer:
The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.
Mrs. Banks was just given 2mL of morphine solution. How many milligrams of morphine did she receive
Answer:
2000 milligrams
Step-by-step explanation:
You do conversion and it make sense.
Which of the following theorems verifies that triangle STU is congruent to triangle XYZ
Answer:
B. HL
Step-by-step explanation:
-1/5(-2 1/4)? (-1/5 x -2 1/4)=?? Brainilist
[tex] - \frac{1}{5} \times - 2 \frac{1}{4} \\ - \frac{1}{5} \times ( - 2) \times \frac{1}{4} \\ \frac{1}{5} \times 2 \times \frac{1}{4} \\ \frac{1}{5} \times \frac{1}{2} \\ \\ answer = \frac{1}{10} \\ [/tex]
Final Answer: 1/10Alternate Forms:
Decimal: 0.1Hope it helps
Answer:
-1/5(-2 1/4)=
Step-by-step explanation:
-1/5(-2 1/4)=1/5(2 1/4)
=1/5(9/4)
=9/20 , 0.45
I am Looking For help with applications of inductive reasoning
1=1*1
1+9=2*5
1+9+17=3*9
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}[/tex]
[tex]\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}[/tex]
[tex]\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}[/tex]
[tex]\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help also due in morning THE WHOLE PAGE. 50 points for right now
Suppose we want to write 2/3 as an equivalent fraction with a denominator of 15. What number must we multiply both the numerator and the denominator by?
Answer:
5
Step-by-step explanation:
substituting the equation x=4y - 12 into the equation -2y= x- 6. will produce what equation?
Step-by-step explanation:
Given that,
x=4y - 12 ....(1)
And
-2y= x- 6 ....(2)
Put equation (1) in equation (2). So,
-2y= (4y - 12)- 6
-2y = 4y - 12 -6
-2y-4y = -12-6
-6y = -18
y = 3
So, substituting x=4y - 12 into the equation -2y= x- 6 will produce y = 3.
Find the average of -8, -1, and 3
Im doing a test pls help quick!
Answer:
-2
Step-by-step explanation:
To find the mean, add all of the values together. With that sum, divide it by the amount of addends/values. In this case 3.
-8 + -1 + 3 = -6
-6/3= -2
hope this helps :D
PART A. A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch.Graph a line on the coordinate plane to represent this relationship.
PART B. Create an equation to represent this relationship let X represent ounces of pineapple juice. Let Y represent ounces of fruit punch. the picture is apart of Part A
Answer:
(B) The equation of line is 5 X = 2 Y.
Step-by-step explanation:
2 ounces of pineapple juice
5 ounces of fruit punch
Other is 4 ounces pineapple juice and 10 ounces fruit punch
(A) Graph is shown below:
(B) Let X is the pineapple juice and Y is the fruit punch
(2, 5) and (4, 10)
So, the equation of line is
[tex]Y - 5 = \frac{10-5}{4-2}\times (x -2)\\\\Y-5=2.5 (X-2)\\\\Y - 5 = 2.5 X - 5 \\\\2.5 X = Y\\\\ 5 X = 2 Y[/tex]
The greatest common factor (GCF) of x^3, x^7, x^9 is ?
Please help
Answer:
[tex]x^3[/tex]
Step-by-step explanation:
Let the greatest common factor of [tex]a,b,c[/tex] such that [tex]a,b,c \in\mathbb{Z}[/tex] and they are not all equal to zero, [tex]d[/tex] is the common divisor of [tex]a[/tex] and [tex]b[/tex]. Therefore, [tex]d \mid a[/tex] and [tex]d \mid b[/tex]
You can write
[tex]D(a) = \{d \in\mathbb{Z} : d \mid a\}[/tex]
[tex]D(b) = \{d \in\mathbb{Z} : d \mid b\}[/tex]
The greatest common factor of [tex]a,b[/tex] is given as
[tex]D(a,b) = \{d \in\mathbb{Z} : d \mid a \text{ and } d \mid b\}[/tex]
and
[tex]D(a, b) = D(a) \cap D(b)[/tex]
This happens because [tex]D(a,b)[/tex] is upper bounded because if [tex]a\neq 0[/tex] then [tex]d \leq |a|[/tex]
for all [tex]d\in D(a, b)[/tex]. Therefore, the set [tex]D(a, b)[/tex] has the greatest elements.
Taking [tex]x^3, x^7, x^9[/tex] such that [tex]x>0[/tex]
You can note that [tex]x^7 = x^3 \cdot x^4[/tex] and [tex]x^9 = x^3 \cdot x^6 = x^3 \cdot x^3 \cdot x^3[/tex]
Therefore, the greatest common factor is [tex]x^3[/tex]
Note: [tex]x^3 \cap x^7 \cap x^9 = x^3[/tex]
f(x) = 3 - 2x and g(x) =
1/X+5 what is the value of
(f/g)(8)
9514 1404 393
Answer:
(f/g)(8) = -104/41
Step-by-step explanation:
Fill in the value for x and do the arithmetic.
f(8) = 3 -2·8 = 3 -16 = -13
g(8) = 1/8 +5 = (1+40)/8 = 41/8
Then the ratio is ...
(f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41
(f/g)(8) = -104/41
help me pelaseeeeeeeee
Answer: 1. x=18
2. x=21
Step-by-step explanation:
1.Q 114=7x-12
7x=126
x=18
2.Q 4x-2=3x+19
4x-3x=19+2
x=21
Answer:
Step-by-step explanation:
if im right but i think
7x-12=144 opposite sides are congruent
7x/7=156/7
X= 22.285
how to calculate z score
that is the equation
Solve the inequality. k - 3 < 5
Answer and Step-by-step explanation:
To solve the inequality, we have to get k by itself.
Add 3 to both sides of the inequality.
k < 8 is the answer.
#teamtrees #PAW (Plant And Water)
5. The volume of a rectangular prism is 2058 cm3. The length is three times
the width. The height is twice the width. Find the width, length and height of the prism.
a. L- 18 cm, W-6 cm, H- 12 cm
c. L-20 cm, W-6 cm, H-12 cm
b. L- 21 cm, W- 7 cm, H- 14 cm
d. L- 22 cm, W-8 cm, H- 15 cm
Answer:
c
Step-by-step explanation:
Which line segment is only a chord of F
Enter the value that belongs in the green box
Answer:
0,83
Step-by-step explanation:
tan(40)=0,83
0.8390996312tep-by-step explanation:
Which sequences are geometric?
Check all that apply.
Answer:
3, 12, 48, 192, ...
3, 15, 75, 375, ...
2, 10, 50, 250, ...