Answer: 3*(2m-5)=8m^2+4
Step-by-step explanation:
The mathematical expression of the given statement is 3(2m-5) = 8m²+4.
What is an mathematical expression?
Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Here, the given mathematical statement is given as :
three times the difference of two times m and five is equal to eight times m to the second power increased by four , which can be written as :
3(2m-5) = 8m²+4
Therefore, the mathematical expression of the given statement is 3(2m-5) = 8m²+4.
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Suppose that 45% of all babies in a particluar hospital are boys. If 8 babies born in the hospital are randomly selected, what is the probability that fewer than of them are boys?
Answer: 0.0385 is the probability.
Step-by-step explanation:
. A fence encloses a triangular field. There is
a vertical wooden fence post at each corner
(vertex) of the field, and vertical
Posts
all
along the fence, placed 5 feet apart. If the
sides of the field measure 20 feet by 35 feet
by 25 feet, how many posts are there
altogether?
Answer:
16 postsStep-by-step explanation:
Sides are:
20 ft, 25 ft and 35 ftThere are following number of posts on each of the sides:
20 ft side ⇒ 20/5 = 425 ft side ⇒ 25/5 = 535 ft side ⇒ 35/5 = 7Total number:
4 + 5 + 7 = 16 postssimplify the fraction 9/18
9/18
Divide by 9
9/9=1
18/9=2
Answer : 1/2
log16^*+log4^*+log2^*=7
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Given
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Required
Solve for x
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Change base of 16 and base of 4 to base 2
[tex]\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7[/tex]
Express 16 and 4 as 2^4 and 2^2 respectively
[tex]\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7[/tex]
The above can be rewritten as:
[tex]\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7[/tex]
[tex]log_22 = 1[/tex]
So, we have:
[tex]\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7[/tex]
[tex]\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7[/tex]
Multiply through by 4
[tex]4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4[/tex]
[tex]log_2(x) + 2}log_2(x) + 4log_2(x) = 28[/tex]
[tex]7log_2(x) = 28[/tex]
Divide through by 7
[tex]\frac{7log_2(x)}{7} = \frac{28}{7}[/tex]
[tex]log_2(x) = 4[/tex]
Apply the following law of logarithm:
If [tex]log_ab = c[/tex] Then [tex]b = a^c[/tex]
So, we have:
[tex]x = 2^4[/tex]
[tex]x = 16[/tex]
What is the first step to solve the following system of equations using substitution?
X-y=-1
2x-y=3
Answer: Add to both sides
Step-by-step explanation:
I'm right in Clare eponymous and lemonade on the street they have to recipes to choose from Emma's recipe called for the juice of five lemons and two cups of water close recipe calls for the juice of 2 lemons and what were the first breast recipe taste more lemony
Answer:
1234567
Step-by-step explanation:
find the slope of the line please help!
Answer:
3/8 or .375
Step-by-step explanation:
A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.
Please help me with question I don’t get it.
Answer:
49 pints of water
Step-by-step explanation:
that's the answer to the question
Answer: 49 pints
Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.
what is 20ft to 8yd in a fraction in simplest form
Answer:
5/6
Step-by-step explanation:
278×125 k12k12k1k1k21k21k2k1212k1k21kk21k21k21k2k1k21k2
Answer:
275 × 125 = 34,375Hope this helps!! Please consider marking brainliest! Have a good one!!
Step-by-step explanation:
2 7 5
× 1 2 5
+ 1 3 7 5
+ 5 5 0
+ 2 7 5
= 3 4 3 7 5
Enter the slope of the line through the points (4, 15) and (4, 12). *
Answer:
-3/0 is the slope....or just -3.
Step-by-step explanation:
slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.
The original Volkswagen Beetle follows
a quadratic curve, write an equation if
the height is 5 feet long and the length
is 14 feet long. Show your work in the
sketchpads below.
Answer:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
Step-by-step explanation:
In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).
From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.
So, there are two ways in which we can build a quadratic equation:
Standard form:
[tex]y=ax^{2}+bx+c[/tex]
or
Vertex form:
[tex]y=a(x-h)^{2}+k[/tex]
Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)
So in this case: h=0 and k=5, which simplifies our equation a lot:
[tex]y=a(x-0)^{2}+5[/tex]
[tex]y= ax^{2}+5[/tex]
So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:
[tex]0=a(7)^2+5[/tex]
and now we can solve for a:
[tex]-5=49a[/tex]
[tex]a=-\frac{5}{49}[/tex]
so this completes our equation:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
whose graph looks like the one in the attached picture.
help me pls .................
Answer:
b
Step-by-step explanation:
Pls hurry I’m being timed
Answer:
I think the answer is A
Step-by-step explanation:
makes sense
10 points pls help me this is urgent if i don’t do this i won’t pass
Answer:
Here's something to help you
Step-by-step explanation:
I'm using the second question as an example.
To find the Unit Rate, you have to divide the amount of money by the amount of whatever the product is
5.99/8= 0.74875
Since the question says to round it to the nearest hundredth, that means the price per unit (unit rate, or the price for one battery here) would be about $0.75. Simple, right?
The cost to rent a moving van is $61 plus an additional $26 per hourIf a moving van rented for 17 hours, what is the cost? Write and solve an equation to find the answer.
Answer:
y = 503
Step-by-step explanation:
y=mx+b
y=26(17)+61
y=442+61
y=503
can someone please help with these what are they ?? SAS,SSS,HL,ASA,AAS
PLEASE IN ORDER
Martha read 1/6of her library books on Saturday and 5/12 of her book on Sunday, how much more does Martha have left to read
Answer: She has 5/12 left of her book to read as well
Step-by-step explanation:
Martha read 1/6 books on Saturday and 5/12 books on Sunday, then the books left to read will be 5/12.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
Books read by Martha on Saturday = 1/6
Books read by Martha on Sunday = 5/12
Then, the number of books left to read is,
1 - (1/6 + 5/12)
Take LCM as 12,
[12 - (2 + 5)]/12
= (12 - 7)/12
= 5 / 12
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Learning
Diagnostic
Analytics
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Math
FL Standards
You have prizes to reveal! Go to your
Eighth grade
Y.8 Write a linear equation from a slope and y-intercept WHP
Learn with an example
A line has a y-intercept of -5 and a slope of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y =
Submit
Which rational number is positive?
Answer:
D because when you divide 2 negative number it will be positive
Offering Brainliest , a 5 star review, and a like on your answers if you can successfully answer these last 2 simple coordinate questions and show some work.
Answer: pretty sure it's -1,1
M ( 3 , 1 )
Step-by-step explanation:
Answer:
J ( -1 , 1 )
M ( 3 , 1 )
Explanation:
When moving coordinates left = subtract from previous X position
When moving coordinates right = add from previous X position
When moving coordinates up = add from previous Y position
When moving coordinates down = subtract from previous Y position
QUESTION 10 of 10: You have a need to purchase 30 units of a product and have them delivered to your company in five days. The sale price is $35 each. Sales tax on the product is 8%. Shipping price is $15. But there is also a 25% rush charge on the sales price added for deliveries less than seven days, which is also taxable. What will be the total cost of this purchase? O a) $1,050.00 b) $1,327.50 Oc) $1,396.50 O d) $1,432.50
Answer: d) $1,432.50
Step-by-step explanation:
Sales price = $35
25% rush charge = 35 * 25% = $8.75
Rush charge is taxable = (35 + 8.75) * 8% = $3.5
Total purchase price per unit = 35 + 8.75 + 3.5 = $47.25
Total cost = Total Purchase + Shipping
= (47.25 * 30) + 15
= $1,432.50
$4200 with a 35% markdown
Answer:
$2,730.00
Step-by-step explanation:
35% of $4,200 is $1,470. Subtract 1470 from 4200 to get $2,730.00
~theLocoCoco
pls help find x of this and help me understand how to find it :)
9 cm. 12 cm. 15 cm
Is this a right triangle or not a right triangle
Answer:
It is a right triangle.
Step-by-step explanation:
bro isnt that a scalene triangle
5y + 3y + 5 ≤ ‐2(2y + 4)
Answer:
y≤−13/12
Step-by-step explanation:
Answer:
y ≤ -13/12 or y = (-oo, -13/12]Step-by-step explanation:
5y + 3y + 5 ≤ ‐2(2y + 4)8y + 5 ≤ - 4y - 88y + 4y ≤ -8 - 512y ≤ -13y ≤ -13/12ory = (-oo, -13/12]Need help ASAP!!!!
Which two ratios form a proportion?
Answer:
C
Step-by-step explanation:
Pls make me brainliest
Answer:
The answer is C 1/2 and 7/14
Two equivalent ratios for a proportion
To determine whether the two ratios form a proportion, you can compare them using a common denominator
1/2 = 7/14
1x7 = 7
2x7 = 14
7/14 = 7/14
please answer fast! teehee
Answer:
y = 9
Step-by-step explanation:
∆KLH is congruent to ∆FLH by the Hypotenuse-Leg Congruence Theorem.
Therefore,
m<KHL = m<FHL
Thus:
6y = 4y + 18
6y - 4y = 18 (subtraction property of equality)
2y = 18
y = 18/2 (division property of equality)
y = 9
Answer: teeheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Yo u soooo cool wannaaaaaa be be friends itsa song LOL..........
Please help!!!!!!!!!
Answer:
alternative interior
Solve the real-world situation by using the substitution method.
One smartphone plan costs $30 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $60 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes. The system of equations lbrace c = 30 + 8d c = 60 + 3d can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?
Both plans would cost $_____
if _____ gigabytes of data are used.