3 added to five times a number, and the result is multiplied by 4 . The final result is 72 . What is the number
Answer:
3
Step-by-step explanation:
72/4=18 18-3=15 15/5=3
If 3 added to five times a number, and the result is multiplied by 4, the number that satisfies the given conditions is x = 3.
Let's break down the problem step by step to find the number.
First, we start with a variable to represent the unknown number. Let's call it "x".
The problem states that "3 added to five times a number," which can be expressed as 5x + 3.
Next, it says that "the result is multiplied by 4," so we can write the equation as 4(5x + 3).
Finally, the problem states that "the final result is 72," so we set the equation equal to 72:
4(5x + 3) = 72
To solve for x, we simplify the equation:
20x + 12 = 72
Next, we subtract 12 from both sides:
20x = 60
Finally, we divide both sides by 20:
x = 3
To learn more about numbers click on,
https://brainly.com/question/17387622
#SPJ2
A taxi firm charges a fixed cost of $10 together with a variable cost of $3 per mile. (a) Work out the average cost per mile for a journey of 4 miles. (b) Work out the minimum distance travelled if the average cost per mile is to be less than $3.25
Answer:
$5.5 per mile
40 miles
Step-by-step explanation:
Given :
Fixed cost = $10
Variable cost = $3
For a journey of 4 miles ;
Cost = fixed cost + Variable Cost
Cost = $10 + $3x
x = number of miles
Cost = $10 + $3(4)
Cost = $10 + $12 = $22
Average cost per mile for a journey of 4 miles
Cost / number of miles
$22 / 4 = $5.5 per mile
Minimum distance if average per mile is to be less Than 3.25
$3.25 = (10 + 3x) / x
3.25x = 10 + 3x
3.25x - 3x = 10
0.25x = 10
x = 10 / 0.25
x = 40 miles
Mark bought 12 boxes of paper clips and 10 packages of index cards for a
total cost of $61.70. Janice bought 15 boxes of paper clips and 7 packages of
index cards for a total cost of $55.40. Find the cost of one box of paper clips
and the cost of one package of index cards.
Answer:
paper clips = $1.85
index cards = $3.95
Step-by-step explanation:
Mark
12 paper clips = x
10 index cards = y
$61.70 total
Janice
15 paper clips = x
7 index cards = y
$55.40 total
12x + 10y = 61.70
15x + 7y = 55.40
*** you want to cancel out one of the letters
(12x + 10y = 61.70) * -7
(15x + 7y = 55.40) * 10
-84x -70y = -431.9
150x + 70y = 554.0
150x + 70y = 554.0
-84x -70y = -431.9
66x + 0 = 122.1
66x = 122.1
x = 122.1 ÷ 66
x = 1.85
plug it back in
15(1.85) + 7y = 55.40
27.75 + 7y = 55.40
7y = 55.40 - 27.75
7y = 27.65
y = 27.65 ÷ 7
y = 3.95
identify the polynomial.
[tex] {a}^{2} + b - cd^{3} [/tex]
Four Term Polynomial
Monomial
Five Term Polynomial
Trinomial
Binomial
Answer:
it's a trinomial
The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the functions equation
Hello,
Answer D
-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k
(-2,18) is a point of the curve:
18=k*(-2)²-8k-32k
-36k=18
k= - 1/2
Answer:
Have a great rest of ur day :)
Step-by-step explanation:
If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?
Answer:
54.4311
Step-by-step explanation:
divide the mass value by 2.205 (unit of conversion) :)
help me with this problem please!!!!
Step-by-step explanation:
sorry I wanted to help you but my calculator is take out decimals sorry I don't know what to do
solve x in this equation 2x+8x=10x
Answer:
All real numbers
Step-by-step explanation:
2x+8x=10x
10x = 10x
Anyone know the answer
Vertical ship up three and two to the right and the square root will flip
so options I is wrong
II is right
III is right
IV is wrong
THUS THE ANSWER IS OPTION II III
4
If 69 +69 +69 = 69 then what does 69 +69-69= plz help I need it
Answer:
69??
Step-by-step explanation:
.
Answer: It would still be 69.
Step-by-step explanation: When you add the both of the 69's together you would get 138 but when you subtract 69 you end up with 69 so therefore it's still 69.
For which value of 0 is 0=-1 ?
Answer:
[tex]theta = \frac{3}{2} \pi + 2k\pi[/tex]
Step-by-step explanation:
+2*k*pi is for the periodicity (if you turn 360° you get back to the same point)
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in. Find p99. That is, find the hip breadth for men that separates the smallest 99% from the largest 1%. The hip breadth for men that separates the smallest 99% from the largest 1% is p99= how many inches
Answer:
p99 = 16.4 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in.
This means that [tex]\mu = 14.3, \sigma = 0.9[/tex]
Find p99.
This is the value of X when Z has a p-value of 0.99, so X when Z = 2.327. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 14.3}{0.9}[/tex]
[tex]X - 14.3 = 0.9*2.327[/tex]
[tex]X = 16.4[/tex]
So
p99 = 16.4 inches
A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
im sorry i dont know the answer
If an interviewer did not properly follow skip patterns specified in a questionnaire, the ______________ step in data analysis would reveal the problem.
Answer:
validation
Step-by-step explanation:
A quantitative research can be defined as any research that is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.
This ultimately implies that, a quantitative research uses closed-ended questions such as how many, how much, and the answers to these questions are mainly numerical in nature.
A questionnaire can be defined as a form that comprises of series of questions used as a means of gathering or obtaining data for a research or study.
Generally, if an interviewer fail to properly follow skip patterns specified in a questionnaire, the validation step in data analysis would reveal the problem.
During the validation stage, the data obtained are accessed to confirm whether or not they're authentic.
Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units
Answer:
4 sq. units
Step-by-step explanation:
Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.
We can see that for this polygon, opposite sides are parallel and equal to each other.
To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:
The length is the distance between (1, 2) and (3, 2):
[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]
The breadth is the distance between (3, 2) and (3, 0):
[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]
Since length = breadth, hence this is a square.
Area= length * breadth = 2 * 2 = 4 sq. units
Help please? thank you
Answer:
Answer is A
Step-by-step explanation:
प्रश्नावली- 13.2 1. एक तम्बू के नीचे का भाग लम्बवृत्तीय बेलनाकार तथा ऊपरी भाग शंक्वाकार है। यदि तम्बू के आधार का व्यास 14 मील बेलनाकार भाग की ऊँचाई 5 मीटर तथा तम्बू की सम्पूर्ण ऊँचाई 14 मोटर है तो तम्बू का आयतन ज्ञात कोजिए। P.01 :
I can't understand the meaning of question
the question is on the image.
Hi there!
[tex]\huge\boxed{\text{22 cm}}[/tex]
We know that:
Area of a rectangle = l × w
The areas are the same, so:
3x · 4 = 6(3x - 2.5)
Simplify:
12x = 18x - 15
Solve for x:
15 = 6x
x = 2.5
Plug in this value of x to find the perimeter of rectangle B:
P = 2l + 2w
l = 6
w = 3(2.5) - 2.5 = 5
P = 2(6) + 2(5) = 22 cm
A blue chip company that makes computer chips found that 2 out of
every 300 chips are defective. What is the percentage of the defective
chips?
RE
со
Answer: Approximately 0.667%
Work Shown:
2/300 = 1/150 = 0.00667 = 0.667%
So less than 1% of the chips are defective.
Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP. (decimal place)
Please Help !!!
Multiply the amount by 9.5% then subtract.
19064.67 x 0.095 = 1,811.14
Now subtract:
19064.67 - 1811.14 = 17253.53
The answer is £17,253.53
Suppose that there is a negative correlation between the variables k and l. If l is 150 when k is 7, which of these is most likely to be the value of l when k is 14.
A. 300
B. 150
C. 75
D. 225
Answer:
d
Step-by-step explanation:
Answer:
the person above me is correct
Step-by-step explanation:
cus I know
7^9 = ????? My daughter needs help with this really quick!
Answer: 40353607
Step-by-step explanation:
[tex]7^9\\[/tex] = 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 = 40353607
Which ordered pairs show the location of the bleachers check all that apply
[tex]\hookrightarrow \:
Help and explain pls and ty
[tex]\displaystyle\bf (3-5\sqrt{5} )-(5\sqrt{3} -3)=3+3-5\sqrt{5} -5\sqrt{3} =\boxed{6-5\sqrt{5} -5\sqrt{3} } \\\\\\\\\sqrt{5} (\sqrt{5} -2x)=\boxed{-2x\sqrt{5} +5}[/tex]
Which of the following is an arithmetic sequence
Answer:
First one.
-3 is added to the previous term.
I NEED HELP ASAP HEELP
Answer:
S > 2kg
Step-by-step explanation:
WILL GIVE BRAINLIEST IF CORRECT!
Write an equation that represents the line. Use exact numbers.
Answer:
y=0.5x-3.5
Step-by-step explanation:
(-4)-(-5)=1
3-1=2
1/2=0.5
y=0.5x-3.5
Answer:
[tex]y=-2y-7[/tex]
Step-by-step explanation:
Coordinates plotted on the equation:
[tex](1,-4)[/tex]
[tex](4,-5)[/tex]
{check the image for your reference}
Can someone help me with this math homework please!
Answer: Five and a quarter
Step-by-step explanation:
Answer:
[tex]7h - 5(3h - 8) - 28 = 100 \\ 7h - 15h + 40 - 28 = 100 \\ 7h - 15h + 12 = 100 \\ - 8h + 12 = 100 \\ - 8h = 100 - 12 \\ - 8h = 88 \\ \frac{ - 8h}{ - 8} = \frac{88}{ - 8} \\ h = - 11[/tex]
Find x
Help me please
Answer:
x=31.2
Step-by-step explanation:
Since angle C is 4x-10 and angle A is 2x+3
then the two angles combined should equal 180 (based off of the inscribed quadrilateral theorem)
4x-10+2x+3=180
6x-7=180
6x=187
x=31.166...
if you round it to the nearest tenth it would be 31.2
Prove:tan^3x/sin^2x-1/sinx.cosx+cot^3x/cos^2x=tan^3x+cot^3x
Answer:
picture above my answer is the answer you asked
