Answer:
3.4
Step-by-step explanation:
0.5x+4.2=5.9
Subtract 4.2 from both sides:
0.5x=1.7
Divide both sides by 0.5:
x=3.4
Hope this helps!
Which of the following is the result of the equation below after completing the square and factoring?
Answer:
D) [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]
Step-by-step explanation:
Step(i):-
Given equation
x² + 5 x + 8 = 4
⇒ [tex]x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]
Step(ii):-
By using (a + b)² = a² + 2 a b + b²
⇒ [tex](x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = (\frac{25-16}{4} )[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]
Final answer:-
[tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]
Help!!! ASAP!! :3 Will Givve BRAINLIEST!!
Answer:
V = 672 cm³ (Option 3)
Step-by-step explanation:
Volume of Rectangular Prism = [tex]Length * Width * Height[/tex]
Where L = 14 cm, W = 6 cm and H = 8 cm
V = 14 * 6 * 8
V = 672 cm³
The 3 by 3 grid below shows nine 1 cm × 1 cm 1 cm×1 cm squares and uses 24 cm 24 cm of wire. What length of wire is required for a similar 20 by 20 grid?
Answer:
Length of wire is required = 840 cm
Step-by-step explanation:
Given:
20 by 20 grid
Find:
Length of wire is required.
Computation:
We know that 20-20 grid required 21 lines.
20 cm vertical and horizontal.
⇒ Length of wire is required = (21 + 21)20 cm
⇒ Length of wire is required = (42)20 cm
⇒ Length of wire is required = 840 cm
please help me please :(
Answer:
18
Step-by-step explanation:
There is a string that is 3 yards long that is divided into pieces that are 1/6 of yard long. Divide the total length by the length it was divided into to find the number of pieces.
When dividing with fractions, the second number will be inverted and multiplied by the first number.
3 ÷ (1/6) = 3 × 6 = 18
You will have 18 pieces
An appliance store reduced the price of a refrigerator by 20% and then raised the prices by 10% from the lower price. What was the original price of the refrigerator, if the price was $70.49 ?
Answer: $80
Step-by-step explanation:
Let the original price of the refrigerator be represented by y.
We are told that an appliance store reduced the price of a refrigerator by 20%. This will be:
= y - (20% of y)
= y - (20/100 × y)
= y - (0.2 × y)
= y - 0.2y
= 0.8y
We are then told that the store then raised the prices by 10% from the lower price. This will be:
= 0.8y + (10% of 0.8y)
= 0.8y + (0.1 × 0.8y)
= 0.8y + 0.08y
= 0.88y
Since we told that now the price was $70.49, this means that we have to find the value of y using the above expression. This will be:
0.88y = $70.49
y = $70.49/0.88
y = $80.10
y = $80 approximately
The original price of the refrigerator is $80.
For which equations is 8 a solution? Check all that apply.
Ox+6=2
X+2 - 10
ox-4-4
Ox-2-10
0 2x=4
3x - 24
OŠ - 16
Answer:
3x-24
Step-by-step explanation:
because 3x-24 divide both side by co efficient of x which is 3 so 24/3=8
what is as a percentage and decimal
[tex] \frac{11}{20} [/tex]
Answer:
Percentage: 55%
Decimal: 0.55
Step-by-step explanation:
11÷20=
0.55
[tex]\frac{11}{20}=\frac{55}{100}[/tex]
or 55%
75 + 13 + ?? = 140 i dont know what it is.
Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
52
Step-by-step explanation:
75 + 13=88
140 - 88=52
75 + 13 + 52=140
hope it helps stay safe and have a good day =D
405 increased by 8.3
Answer:
413.03
Step-by-step explanation:
405 increased by 8.3 is 405+8.3.
[tex]405+8.3=\\405+8.0+0.3=\\413+0.3=\\413.03[/tex]
Answer:
413.3 if ADD, 437.5215 if add by percent
Step-by-step explanation:
If it's increaced by 8.3%, then it is 405 + 32.5215 = 437.5215
If it's add 8.3, then it's 413.3.
What are the dimensions of the poster at 1/3 its current size?
Answer:2 in. by 3 in
Step-by-step explanation:
only my best guess
y = 4x – 6
can someone find me the slope for this thanks
Answer:
Slope = m = 4
Step-by-step explanation:
y = 4x-6
Comparing this with the standard slope-intercept equation:
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept.
So, we get:
Slope = m = 4
Answer:
4
Step-by-step explanation:
The equation of a line has a formula.
y = mx + b
Where m is the slope, and b is the y-intercept.
The equation for this line is given:
y = 4x + - 6
m = 4
b = -6
4 is the slope, and -6 is the y-intercept.
A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour
Answer:
A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.
Step-by-step explanation:
Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can afford to buy 24 candy bars
Answer:
e can treat 7 friends
Step-by-step explanation:
2f+10=24
2f=24-10=14
f=14/2=7
Raphael graphed the function g(x)=x+2 and f(x)=x-1. How many units below the y intercept of g(x) is the y intercept of f(x)
Answer:
3
Step-by-step explanation:
If you take the y-intercept of x+2 and the y-intercept of x-1 and graph them, count the number of units in between them and you should see that your answer is 3
Answer:
D) 3 units
Step-by-step explanation:
Model the situation with the sum of polynomials. Then simplify the sum.
4. The width of a rectangle is represented by 4x, and its length is
represented by (3x + 2). Write a polynomial for the perimeter of the
rectangle
3x + 2
4x
O
Answer:
[tex]perimeter= 14\,x\,+ \,4[/tex]
Step-by-step explanation:
Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x) plus twice the length (3x+2);
[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
See below
Step-by-step explanation:
When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.
The sample space is:
[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]
The sample space of the product xy of each outcome forms the required possibility diagram.
This is given as:
[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]
Please help urgently!
Answer:
[tex]a=-6\quad and \quad b=8[/tex]
Step-by-step explanation:
[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]
By comparing the last expression with [tex]a+b\sqrt{2}[/tex], we get:
[tex]a=-6\quad and \quad b=8[/tex]
Best Regards!
in Germany, VAT is at 19 % Jeremy buys a calculator for 58.31 German money this price contains VAT find the amount of VAT paid by jeremy
Answer:
9.31?
Step-by-step explanation:
Who wants to help I really really need it ❤️
Answer:
4^8
Step-by-step explanation:
4^5 * 4^3
We know that a^b* a^c = a^(b+c)
4^(5+3)
4^8
In each figure below, find m∠1 and m∠2 if a||b. Show your work with statements.
Answer:
m < 1 = 80
m < 2 = 70
Step-by-step explanation:
As we can see in the figure that
[tex]a || b[/tex]
Plus line s and t are considered to be transversals
That results into
m < 1 and 80
i.e alternate angles
And as we know that alternative angles are equal to each other
So,
m < 1 = 80
Moreover,
m < 2 = 70
As corresponding angles are equal to each other
Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things
. A woman fences a 3m by 4m rectangular plot to keep her chickens in. The fencing costs N200 per metre. How much does it cost to fence the plot?
1 point
Answer:
Cost: "N2800"
Step-by-step explanation:
I'm assuming "N200" is "$200"? But I'll just use it as "N200"
Finding the perimeter:
3+3+4+4=
6+8=
14 metres
Finding the cost:
N200×14=
N2800
Anne, Becky and Charlotte had sums of money in the ratio 7:6:5. One of them gave £9 to one of the others and this changed the ratio (in the same order of names) to 6:5:4. The total sum of money remained the same; what was it?
Answer:
The total sum of money is £810
Step-by-step explanation:
The parameters given are;
The ratio of the sum Anne, Becky and Charlotte had = 7:6:5
One of them gave one of the others £9 and the new ratio becomes 6:5:4
The total sum of money remains the same = M
The initial fraction amount of the total sum of money each had is given as follows;
Anne = 7/(7 + 6 + 5)×M = 7/18·M = 0.389·M
Becky = 6/18·m = 1/3·M
Charlotte = 5/18·M = 0.278·M
After one of them gave £9 to one of the others, the fraction amount of the total sum of money each had became;
Anne = 6/(6 + 5 + 4)×M = 6/15·M = 0.4·M
Becky = 5/15·m = 1/3·M
Charlotte = 4/15·M = 0.267·M
Therefore, given that Anne's fraction of the total sum of money increased while Charlotte's fraction of the total sum of money decreased, it was Charlotte that gave Anne £9
Therefore, the fraction of the total sum of money equivalent to £9 is found s follows;
5/18·M - 4/15·M = 1/90·M = £9
Therefore;
M = 90 × £9 = £810
The total sum of money = £810.
Here is a list of numbers: 8, 6, 19, 14, -19, -3, -14, 20, -9 State the median.
Answer:
6
Step-by-step explanation:
rearrange the numbers from smallest to biggest:
-19, -14, -9, -3, 6, 8, 14, 19, 20
the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5
find the fifth piece of data from the rearranged order.
ans: 6
Answer:
6
Step-by-step explanation:
gotchu G
2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.
On the Venn diagram, which region(s) represent the union of Set A and Set B (A⋃B)?
II
I and III
I, II, and III
I, II, III, and IV
Answer:
(A⋃B) = I, II, and III (C)
Step-by-step explanation:
Venn diagram is used to demonstrate the relationship between two or three sets. It enables visual organisation of data in a set.
From the information:
Set A = {I}
Set B = {II}
Set A⋂B = {III}
Where ⋂ means intersection.
A⋂B = objects that belong to set A and set B
Objects not belonging to any set = 4
U = Universal set
(A⋃B) means objects that belong to set A or set B
The objects that belong to set A or set B = I, II, and III
(A⋃B) = I, II, and III (C)
Answer:
The answer is C
Step-by-step explanation:
I took the test
p inversely as( m + 1 ). when p = 4, m = 8 . (a)Find a equation connecting P and ( m + 1 ). (b)calculate the value of p when m = 11
Answer:
a. p= 36/(m + 1)
b. p = 3
Step-by-step explanation:
If p varies inversely as (m + 1)
then p = k × 1/(m + 1). {Where k is the constant}
when p = 4, m = 8, that means 4 = k/(8 + 1)
4 × 9 = k and k = 36
a. Therefore the equation is p= 36/(m + 1)
b. When m = 11,
p = 36/(11 + 1)
p = 36/12
p = 3
Edward has 30 sweets.
The ratio of red sweets to yellow sweets is 2:3
How many red sweets does Ed have? *
Answer:
20 red sweets
Step-by-step explanation:
do two thirds of 30 and the part that cane out is the red sweets
Answer:
12
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 = 5 parts
Divide the number of sweets by 5 to find the value of one part of the ratio
30 ÷ 5 = 6 sweets ← value of 1 part of the ratio, thus
2 × 6 = 12 ← number of red sweets
Five minutes after midnight of 25 April 2016 there was a heavy rain in Adelaide. 144 hours later, what is the probability that it would be sunny over there? Justify your answer.
Answer:
0
Step-by-step explanation:
144 h = 6 days
Six days later would be midnight on May 1.
That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.
The probability of Adelaide being sunny at midnight is zero.
David, Malachy and Paul share some sweets in the ratio 4:3:3. David gets 24 sweets. How many did Paul get?
If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that David, Malachy and Paul share some sweets in the ratio 4:3:3
All three shared 24 sweets together.
Let x be the number of sweets
4x+3x+3x=24
Add the like terms
10x=24
Divide both sides by 10
x=2.4
Now paul has 3x sweets so 3×2.4=7.2
Hence, Paul get 7.2 number of sweets
To learn more on Ratios click:
https://brainly.com/question/13419413
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Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds. D=
Answer:
The answer is D(t) = 160 - 25t
Step-by-step explanation:
well khan academy said it lol
A certain arithmetic sequence has this explicit formula for the nth term:
an = 11 + (n - 1)(4)
The same sequence has this recursive formula:
an = an-1 +__
What number belongs in the blank space in the recursive formula?
Answer:
4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
[tex]a_{n}[/tex] = 11 +(n - 1)4 , then
d = 4
The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4
Answer:
The answer is 4
Step-by-step explanation: