Answer:
60 mph
Step-by-step explanation:
We calculate the combined distance travelled by the two trains in two hours.
As they were 500 miles apart at first, and 300 miles apart after, they have travelled 200 miles together.
I think the question means "one train travels 20 mph faster than the other".
Say the faster train has speed x mph. Then the slower has speed x - 20 mph.
Now, the combined distance travelled in 2 hrs is 2 * (x + x - 20) = 200
2x - 20 = 100
2x = 120
x = 60 mph
The perimeter of parallelogram ABCD is 76 cm. AD is 5 cm more than twice AB. Find the lengths of all four sides of ABCD.
What does side AB equal?
Answer:
xd eso tan faciiil
Step-by-step explanation:
facil 2+2=?
the parallelogram's sides are:
AB = 11BC = 27CD = 11AD = 27What is a parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.
Given The perimeter of a parallelogram, ABCD is 76 cm. AD is 5 cm more than twice AB
AD = 5 + 2AB....(1)
Also given
parameter = 76
For parallelogram parameter = 2(a + b)
where a and b are adjacent sides
2(a + b) = 76
a + b = 38
AB + AD = 38
From equation 1
AB + 5 +2AB = 38
3 AB = 33
AB = 11
substituting in equation 1
AD = 27
therefore, the Sides of the parallelogram are:
AB = 11
BC = 27
CD = 11
AD = 27
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What is the first step in solving the equation? 7 (x - 3) = 15+ x
a. Distribute by multiplying 7 by the terms in the parentheses
b. Multiply by 7 on both sides of the equation
c. Add 3 to both sides of the equation
d. Subtract x from both sides of the equation
Answer:
The first step is A, distributing and multiplying 7 to the x and -3 in the parentheses
Step-by-step explanation:
It’s kind of hard to offer and explanation for this, so sry!
(Please award brainliest if possible!)
Answer:
(a).
Step-by-step explanation:
7 is outside the parentheses and needs to be distributed to x and -3 before trying to isolate the x.
Question 7 (Essay Worth 4 points)
(06.04)
5x +
+ va
1 ²
2
What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
X + -
126 Source ✓ C
BI U S x, * I. 25 ::E
Styles
BU
-
Format
Font
The expression if x = 3 and y = 2 is 2
Expressions and functionGiven the function expressed as:
[tex]\dfrac{5x+1}{2y^2}[/tex]
Given the following parameters
x = 3 and y = 2
Substituting the values into the following
[tex]= \dfrac{5(3)+1}{2(2)^2}\\=\dfrac{16}{2\times 4}\\=\dfrac{16}{8}\\= 2[/tex]
Hence the expression if x = 3 and y = 2 is 2
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An investment of $74,500.00 earns 13.3% annual interest, compounded continuously. If no funds are added or removed from this account, what is the future value of the investment after 25 years? Round your answer to the nearest penny.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$74500\\ r=rate\to 13.3\%\to \frac{13.3}{100}\dotfill &0.133\\ t=years\dotfill &25 \end{cases} \\\\\\ A=74500e^{0.133\cdot 25}\implies A=74500e^{3.325}\implies A\approx 2071025.40[/tex]
In which step does a mistake first occur?
8 / 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7
Answer:
Step 1
Step-by-step explanation:
The symbol seems to have changed from divide to add. The work done in the parentheses is also wrong by the order of operations; multiplication comes before addition.
Which number is an irrational number?
a) -22/9
B) -radical 3
C) 2.55
D) radical 16
Answer:
B
Step-by-step explanation:
A, C, and D are rational numbers. For D,
[tex] \sqrt{16} = 4[/tex]
Answer:
I believe the answer is B
Please help??!?!??? Bplease
Answer:
radical 7<14÷5
bcoz radical 7 is 2.645
and 14÷5 is 2.8
what is the answer to (s+2)^3
please the question is in the screenshot
A person invest 7500 dollars in a bank. The bank pays 6 interest compounded semi-annually. To the nearest tenth of a year,how long must the person leave the money in the bank until it reaches 10100 dollars?
Answer:
Step-by-step explanation:
I clicked see solution
T=5 years
It will take 5 years for a person to have 10100 dollars.
What is Compound Interest ?Compound interest is calculated on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following month.
Given:
A person invest 7500 dollars in a bank.
The bank pays 6 interest compounded semi-annually.
The compound interest formula is equal to
A = P([tex]1+ r/n)^{n/t[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
So, substituting the values we get
10,100 = 7500 (1 + 0.06/2[tex])^{2t[/tex]
1.3466 = (1.03[tex])^{2t[/tex]
Taking log on both side we get
log (1.3466) = 2t log (1.03)
2t = log ( 1.3466- 1.03)
2t =0.12923 / 0.01283
t = 10.072 / 2
t = 5. 036 year
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What is the slope of -5,6 and -9,-6
Answer:
0
Step-by-step explanation:
picture
Can someone check my answers?
Answer:
givenvertical angle congruenceAA similarity theoremStep-by-step explanation:
1. ∠C ≅ ∠E . . . . given
2. ∠ABC ≅ ∠DBE . . . . vertical angle congruence theorem
3. ΔABC ~ ΔDBE . . . . AA similarity theorem
_____
When showing similarity of triangles with no marked sides, theorems that involve sides (SSS, SAS, AAS) do not apply. The only theorem you can invoke is the AA similarity theorem.
A proof generally begins by restating those things that are "given," that form the basis for the rest of the proof. Here, the arcs on the diagram show that angles C and E are congruent. That is "given."
Choose the expression that represents a linear expression. −17x4 − 18x3 19x2 − 20x 21 18x3 19x2 − 20x 21 23x2 24x − 25 4x 4.
Answer:
4x + 4
Step-by-step explanation:
I answered this correctly on my test
Hopes this help
Please let me know if I'm wrong
Answer:
4x+4
Step-by-step explanation:
Got it right on my test
Look at the stem-and-leaf plot. What is the mode of the numbers?
A. 22
B. 12
C. 2
D. There is no mode.
Answer:
C. 2
Step-by-step explanation:
Mode is the number that repeats the most or more often than others. The number 2 repeats three times. The number 0 repeats twice. Numbers 3 and 4 do not repeat.
Distributive Property to multiply 3x(x+5)
Answer: 3x^2+15x
Step-by-step explanation:
3x(x+5)
(x * x = x^2 and x * a number = a coefficent)
= 3x^2+15x
Answer: [tex]3x^{2}[/tex]+15x
Step-by-step explanation: 3x(x+5) then you distribute the 2x to all numbers in the parentheses leaving [tex]3x^{2}[/tex]+15x which is already simplified
B
с
8x - 7
H
7x + 2
E
10x - 1
к
A
D
What is the length of AD ?
AD =
Answer:
Step-by-step explanation:
55
Just tell me the answer I have 5 min
what is the rounded tenth of 586
Answer:
The answer is 590.
Answer:
The nearest tenth would be 590 since you round 86 to the nearest tenth. 86 is closer to 90 instead of 80, once again your answer is 590.
Step-by-step explanation:
What is the equation of the line that passes through the point (−4,−7) and has a slope of 3/2
General equation of linear function:
[tex]y=mx+b[/tex]
point (−4,−7);
[tex]x=-4, y=-7, \text{slope}=\dfrac{3}{2} =1,5[/tex]
[tex]-7=1,5\times(-4)+b\\-7=-6+b\\b=-1[/tex]
Ans:
[tex]y=\dfrac{3}{2} x-1 \:\text{or}\:y=1,5x-1[/tex]
does somebody know the answer to this?
j- 120 degrees
k- 38 degrees
For j...
The formula to find the total interior angle measurement for one angle is [tex]\frac{(x-2)180}{2}[/tex]. "x" is the number of angles. So in this case [tex]\frac{(6-2)180}{2}[/tex].
For k...
opposite vertical angles are equal, so the measurement provided will be the same for k.
Last tuesday evening, Aaron, the car wash owner, found he had 90% more quarters than dimes. If the combined value of Aaron's quarters and dimes is $69, how many times did he have
Aaron the car wash owner had 228 quarters and 120 dimes.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of quarters and y represent the number of dimes. Hence:
x = 90% of y + y
x = (0.9y) + y
x - 1.9y = 0 (1)
Also:
0.25x + 0.1y = 69 (2)
From both equations:
x = 228, y = 120
Aaron the car wash owner had 228 quarters and 120 dimes.
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A tv cost £800 plus VAT at 20%. What is the total cost of the tv
Answer:
£960
Step-by-step explanation:
100%=£800
20% of £800= 800/100 x 20 = £160
£800+VAT=120%= £800+£160=960
help please! will give brainliest :)
[tex]8m {}^{3} - 128m \\ 8m( {m}^{2} - 16)[/tex]
By taking common
2) Father earns Rs 21,600 in a month. He spends 15% of his earning on the education of his children and 25% on food. a (i) Find his total expense on education and food. (ii) How much does he save in a month ? (iii) How much does he save in 1 year ? (iv) If he spends 80% of his annual saving to buy a piece of land, What is the cost of the land ?
Answer:
a) i) Rs 8,640
ii) Rs 12,960
iii) Rs 155,520
iv) Rs 124,416
Step-by-step explanation:
Salary = Rs 21,600 per month
a) i)
Percentage of salary spent on education = 15%
⇒ 15% of 21600 = 0.15 x 21600 = 3240
Percentage of salary spent on food = 25%
⇒ 25% of 21600 = 0.25 x 21600 = 5400
Therefore, total monthly expenses = 3240 + 5400 = 8640
ii) Monthly savings = monthly salary - monthly expenses
= 21600 - 8640
= 12960
iii) 1 year savings = monthly savings x 12
= 12960 x 12
= 155520
iv) 80% of savings = 0.8 x 155520 = 124416
If a stadium pays $11,000 for labor and $7,000 for parking, what would the stadium's parking revenue have to be if the stadium is hoping parking labor is 6% of parking revenue?
Answer:
183,333
Step-by-step explanation:
Find the area in square meters of a circular pond with a radius of 7 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
(1 m ≈ 3.2808 ft)
Step-by-step explanation:
since the pond is circular, its area will be πr².
a= πr², where r= 7ft
1 m ≈ 3.2808 ft
3.2808 ft ≈ 1 m
1 ft = 1/3.2808
7 ft = 1/3.2808 * 7
= 2.13362.. m
a= πr²
a= 3.14 * ( 2.13362...)2
a= 3.14 * 4.5523596...
a= 14.2944..
a= 10.0 m² (rounded to nearest tenth)
is the question right?
Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.
How to find the area of a circular shaped object?Area of that circular shaped object with radius r units is given by:
[tex]A = \pi \times r^2 \: \rm unit^2[/tex]
For the given case, we've got a circular pond with a radius of 7 ft.
Since 1 m ≈ 3.2808 ft, thus,
dividing both the sides by 3.2808, we get
[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]
Therefore, the radius of the considered circular pond is approximately 2.1336 meters.
Using the formula for area of circle to find the area of circular pond, we get:
[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]
14.294 rounded to nearest hundredth would be 14.29
(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th place).
Thus, the area of the circular pond in consideration is 14.29 square meters approximately.
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if y varies directly as x, and y = 3 when x = 9, how will you find x when y = 36?
Answer:
(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
Step-by-step explanation:
Drag and drop the terms to match each segment from this figure with its correct description.
Put if each segment is either Radius or Diameter
DE
FA
CF
EA
From the circle with center A, DE and CF are diameter while FA and EA are radius.
CircleA circle is the locus of a point such that the distance from the fixed point known as the center is constant.
A segment is a line that touches two points on the edge of a circle. Diameter is a line segment that passes the center of the circle while the radius is half of the diameter.
From the circle with center A, DE and CF are diameter while FA and EA are radius.
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Answer:
DE=diamter
FA=Radious
AC=Radious
CF=Diameter
EA=Radious
Step-by-step explanation:
All correct i took test
what else is needed to prov these triangles congruent using the saa postulate
Answer:
B should be your answer
Step-by-step explanation:
I had this question.
The angles at point A need to be congruent. Option B is correct.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
For the given figure,
Triangle ABC and Triangle ADC
AC = AC [common side]
Angle B = Angle D
Angle BAC = Angle DAC
Triangle ABC ≅Triangle ADC by SAA postulate.
Thus, the angles at point A need to be congruent. Option B is correct.
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Find the rule. Solve for n. Х 12 15 20 Y 7 10 15 17 n Rule:
Answer:
n =22
Step-by-step explanation:
12-5=7
15-5=10
20-5=15
n-5=17
collect like terms
n=17+5
n=22
Answer:
Looking at the rule we can see that our x value is always 5 more than our y value. So to get our n we just take the y value of 17 and add 5 and we get 22. So our n is equal to 22.