First calculate distances or lengths(Refer to attachment)
A:-[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]
[tex]\\ \sf\longmapsto 15+29[/tex]
[tex]\\ \sf\longmapsto 44[/tex]
B:-Refer to the attchment
C:-[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]
D:-EH>OH
E:-[tex]\\ \sf\longmapsto Perimeter[/tex]
[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]
[tex]\\ \sf\longmapsto 24[/tex]
Someone please help!
-it is a 4 digit number.
-the vaule of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place.
-the least digit is in the tens place.
-the sun of the digits is 19. -the digit in the ones place is 4 more than the digit in the hundreds place.
-whats the mystery number?
Answer:
5539
Step-by-step explanation:
You should conclude that the number in the thousands place and the one in the 100s place are the same.
x * 1000 + x * 100 + y + x + 4
So you could sum the digits as
3x + y + 4 = 19 Subtract 4 from both sides
3x + y = 15
x can be six That means y = 1 which is OK
x can be five That means y = 3 which is OK
Now we run into a little grief. Can x be 4? No
x cannot be 4 that would mean that y = 19 - 12 = 7 The tens digit is too big.
Come to think of it, x cannot be 6 because then the units digit will be 10 -- not possible.
So the answer is
1000*5 + 100*5 + 10*3 + 9
5539 is the answer.
Thanks for posting.
We want to find a 4-digit number that meets some given conditions. We will find two, which are:
4438 and 5509
A general 4-digit number can be written as:
a*1000 + b*100 + c*10 + d
Where a, b, c, and d are single-digit numbers.
a is the thousands digit
b is the hundreds digit
c is the tens digit
d is the units digit.
Here we know that:
"the value of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place."
So the first term is 10 times the second term, this means that:
(a*1000) = 10*(b*100)
a*1000 = b*1000
a = b
-the least (the smaller one) digit is in the tens place.
so:
c < a, b, d
- The sun of the digits is 19.
So:
a + b + c+ d = 19
-The digit in the ones place is 4 more than the digit in the hundreds place.
so:
d = b + 4
Now we can rewrite all of these conditions as:
b = ac < b, a, da + b + c + d = 19d = b + 4Using the first one, we can replace all the b's by a's in the other conditions, so we have:
c < a, d2a + c + d = 19d = a + 4Now we can use the third equation and replace it in the second one to get:
2a + c + d = 19
2a + c + (a + 4) = 19
3a + c + 4 = 19
3a + c = 19 - 4
3a + c = 15
Now we need to remember that:
c < a.
So we can try with different values of a.
For example, if a = 3, then:
3*3 + c = 15
9 + c = 15
c = 15 - 9 = 6
here we have c > a, so we can discard this.
If a = 4, then:
3*4 + c = 15
12 + c = 15
c = 15 - 12 = 3
c < a
From this we can construct our number:
a = b = 4
c = 3
d = b + 4 = 4 + 4 = 8
Then the number is:
4438
If a = 5, then:
3*5 + c = 15
15 + c = 15
c = 15 - 15 = 0
c < a
So we also can have:
a = b = 5
c = 0
d = b + 4 = 9
Such that the number is:
5509
And if a is equal to or larger than 6 we have problems, because
3*6 + c = 15
18 + c =15
c = 15 -18 = -3
And c can't be a be a negative number.
So we can conclude that we found two 4-digit numbers that meet all the conditions, and these are:
4438 and 5509
If you want to learn more, you can read:
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Arundel Corporation has 7,000 shares of 6% $100 par cumulative preferred stock outstanding. Arundel paid all preferred dividends due for the year 2019 but paid no dividends in 2020. What amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders?
The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
Using this formula
2021 preferred shareholders(per year)=Per dividend * Dividend rate
Let plug in the formula
2021 preferred shareholders(per year)=[(7,000*$100)*6%]
2021 preferred shareholders(per year)=($700,000*6%)*2
2021 preferred shareholders(per year)=42,000*2
2021 preferred shareholders(per year)=84,000
Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
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12. Solve x^2 + 6x - 16 = 0 by completing the square.
Please help and show work
Answer:
x is 2 and -8
Step-by-step explanation:
[tex] {x}^{2} + 6x - 16 = 0[/tex]
general equation
[tex] {ax}^{2} + (sum)x + product = 0[/tex]
sum is 6, product is -16
for completing squares,
first divide the sum by 2:
[tex] = \frac{6}{2} = 3[/tex]
add the square of the result on (x² + 6x) and subtract it from the product:
[tex] ( {x}^{2} + 6x + {3}^{2} ) - 16 - {3}^{2} = 0 \\ {(x + 3)}^{2} - 25 = 0 \\ {(x + 3)}^{2} = 25[/tex]
take square root:
[tex] \sqrt{ {(x + 3)}^{2} } = \sqrt{25 } \\ x + 3 = ±5 \\ x = ±5 - 3[/tex]
x is either: 5-3 or -5-3
[tex]x = 2 \: \: and \: - 8[/tex]
3s(4 + 6)2 is an example of
Answer:
A. An Algebraic Expression
Step-by-step explanation:
Since we have no equal sign in the problem, we know that it is an expression. An equation has an equal sign and another value so we can simplify to find the value of whatever variable we are working with. We also know that it is not anything numerical because we are working with variables. With this information we will see that the correct answer is A.
Best of Luck!
Answer:
options A an algebraic expression
Step-by-step explanation:
please mark me brainleast
Solve the equation. x + (–6) = –9
Answer:
-3
Step-by-step explanation:
9514 1404 393
Answer:
x = -3
Step-by-step explanation:
Undo the addition of -6 by adding the opposite of that to both sides of the equation.
x + (-6) +(+6) = (-9) +(+6)
x -6 +6 = -9 +6
x = -3
Use a number line or place value to round each number to the place of the underlined digit
you didn't put a picture in,
2. An electronic watch is sold for Rs 840 at a profit of Rs 90. Find its cost price and the profit per cent.
Answer:
750 CP AND PROFIT%=12%
Step-by-step explanation:
SP=rs 840
profit=90
CP=SP-profit
=840-90
=750
profit %=profit/CP*100%
=90/750*100%
=12%
Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution
Answer:
135
Step-by-step explanation:
250 x 54%=135
At the zoo the polar bears are fed 0.1 bucket of fish a day.
The penguins are fed 0.83 that amount. How much of a
bucket are the penguins fed?
Answer:
0.083
Step-by-step explanation:
0.1 x 0.83 = 0.083
There are 0.083 bucket are the penguins fed.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
At the zoo the polar bears are fed 0.1 bucket of fish a day.
And, The penguins are fed 0.83 that amount.
Now,
Since, At the zoo the polar bears are fed 0.1 bucket of fish a day.
And, The penguins are fed 0.83 that amount.
Hence, The bucket are the penguins fed is,
⇒ 0.83 × 0.1
⇒ 0.083
Learn more about the multiplication visit:
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#SPJ2
Solve the given equation, enter your answer as "x= " and then your answer.
Example: x = 5
6=210
Answer:
×=204
Step-by-step explanation:
6=210
210-6
x=204
Which expression does this power represent?
109
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9
10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9
10 × 9
9514 1404 393
Answer:
(a) 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Step-by-step explanation:
You may recall that we use a multiplier to signify repeated addition:
x + x + x = 3x
In a similar way, we use an exponent to signify repeated multiplication:
10 × 10 × 10 = 10³
__
The exponent 9 in 10⁹ means the factor 10 appears 9 times in the product:
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10⁹
Answer:
a 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Step-by-step explanation:
447,077 is ____________________then 347,077.
Fill in the blank.
447,077 is greater than 347,077
447,077 greater than 347,077 by 100,000
447,077-347,077= 100,000
I can list more if you want! I hope I've helped!
need help with some khan academy stuff
Answer:
2.2 % per minute
35 minutes
Step-by-step explanation:
(0,23%) and (30, 89%)
We can find the slope
m = ( y2-y1)/(x2-x1)
= (89-23)/(30-0)
66/30
=2.2 % per minute
To get to full change we need 100-23 = 77 %
77% * 1 minute/ 2.2 % =35 minutes
Shellie buys a loaf of bread fo $2.99, a gallon of milk for $3.49, and a pack of
lunchmeat for $5.99. The sales tax is 8%. How much will Shellie's total bill be,
including the sales tax? Round your answer to the nearest cent.
Answer:
$13.47
Step-by-step explanation:
2.99 + 3.49 +5.99 + 12.47.
12.47 x 0.08 = 1.
12.47 + 1 = 13.47
Pls answer this question! I will mark as brainliest!!!
Answer:
1/8
Step-by-step explanation:
There is a 1/2 probability for each of the three flips to result in the desired outcome. To get 3 desired outcomes in a row, we multiply each of the probabilities together
(1/2)³ = 1/8
Answer: it is D) 2/3
The median speed at which Dave drove to work was __________. 63 miles per hour 62 miles per hour 58.89 miles per hour 59 miles per hour
Step-by-step explanation:
Dave run with was 63 miles
14 subtracted from three times a number is -53 find the number
Step-by-step explanation:
let the number
[tex] = x[/tex]
Then:
[tex](3x - 14) = 53 \\ 3x = 53 + 14 \\ 3x = 67 \\ x = 67 \div 3 = 22.33[/tex]
Answer:
[tex]number = x \\ 3x - 14 = - 53 \\ 3x = - 53 + 14 \\ 3x = - 39 \\ x = \frac{ - 39}{3} \\ x = - 13 \\ thank \: you[/tex]
Anyone who knows this mathematic question will get the brainliest
9 gal 2 qt to quarts
Answer:
38 us liquid quarts
Step-by-step explanation:
Anyone know the answer with explanation please I would appreciate it!
Answer:
[tex]\displaystyle QR = 12[/tex]
Step-by-step explanation:
First, it's never a bad idea to draw the line and see what it looks like! This is shown below (not to scale).
We are given that PS = 18 and PR = 15, and we want to determine QR.
PS is the sum of PR and RS:
[tex]\displaystyle PS = PR + RS[/tex]
Substitute:
[tex]\displaystyle (18) = (15) + RS[/tex]
Solve for RS
[tex]\displaystyle RS = 3[/tex]
Since RS ≅ PQ:
[tex]\displaystyle RS = PQ = 3[/tex]
PS is also the sum of PQ, QR, and RS. Hence:
[tex]PS = PQ + QR + RS[/tex]
Since PS = 18 and RS = PQ = 3:
[tex](18) = (3) + QR + (3)[/tex]
Solve for QR:
[tex]QR = 12[/tex]
In conclusion, QR measures 12 units.
Asap right now brainliest for the correct one
Answer:
Option BStep-by-step explanation:
The next step is the result of calculating the square roots:
[tex]4^{1/2} = 2[/tex]and
[tex]36^{1/2} = 6[/tex]This will make the step:
2 · [tex]3^{1/2}[/tex] + 6 · [tex]3^{1/2}[/tex] = 8 · [tex]3^{1/2}[/tex]Correct choice is B
eksponent
[tex]\sqrt[n]{x^n} = x[/tex][tex]\sqrt{x} = x^{1/2}[/tex]—
[tex] = 4^{ \frac{1}{2} } .3 ^{ \frac{1}{2} } + \sqrt{36} \times 3^ \frac{1}{2} [/tex]
[tex] = \sqrt{4} \times 3 {}^{ \frac{1}{2} } + 6 \times 3 {}^{ \frac{1}{2} } [/tex]
[tex] = 2 \times 2 + 6 \times 3 {}^{ \frac{1}{2} } [/tex]
[tex] = 4 + 6 \times \sqrt{3} [/tex]
[tex] = 4 + 6 \sqrt{3} [/tex]
if x^3+ax^2+bx=6 is exactly divisible by (x-1), prove that a+b=5.
Step-by-step explanation:
x-1=0
x=1
subtitute value of x
p(x)=x^3+ax^2+bx
p(1)=(1)^3+a(1)^2+b(1)
p(1)=1+a+b
as p(x) =6. (given)
1+a+b=6
a+b=6-1
a+b=5
Tom owns a landscaping business. He charges $40 for a yard cleanup, $50 to mow a lawn, and $75 to mulch a yard. On average, it takes Tom 25 minutes for a yard cleanup, 40 minutes to mow a lawn, and 2 hours to mulch a yard. Tom's clients are Mr. Hansen, Ms. Martinez, and Mrs. Johnson. . Mr. Hansen paid $125 for lawn services this week. . Tom spent more than an hour at Ms. Martinez' house this week. • Mrs. Johnson wrote Tom a check for $165 for the week. Tom made $405 from his three clients this week.
Answer:
Ms. Martinez = Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.
Step-by-step explanation:
Tom made $405 for the week from his three clients
Mr. Hansen paid Tom $125
Mrs. Johnson paid Tom $165
405-165-125=115
Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)
The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:
Mr. Hansen paid $125 to mow a lawn and to mulch a yard.Mrs. Johnson paid $165 for the three servicesMs. Martinez paid $115 for a yard cleanup and to mulch a yard.Given that:
Cost
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Time
[tex]2\ hrs \to[/tex] Yard cleanup
[tex]40\ mins \to[/tex] Mow a lawn
[tex]2\ hrs \to[/tex] Mulching a yard
[tex]Total\ Earnings = \$405[/tex]
From the question, we understand that:
[tex]Mr.\ Hansen = \$125[/tex]
Recall that:
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Add up:
[tex]\$50 + \$75 = 125[/tex]
This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.
[tex]Mrs.\ Johnson= \$165[/tex]
Recall that:
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Add up:
[tex]\$40 + \$50 + \$75 =\$165[/tex]
This means that Mrs. Johnson paid $165 for the three services
The amount paid by Ms. Martinez is calculated as follows:
[tex]Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings[/tex]
Substitute known values
[tex]\$125 + \$165 + Ms.\ Martinez = \$405[/tex]
[tex]\$290 + Ms.\ Martinez = \$405[/tex]
Collect like terms
[tex]Ms.\ Martinez = \$405 - \$290[/tex]
[tex]Ms.\ Martinez = \$115[/tex]
This means that Ms. Martinez paid $115
Recall that:
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$75 \to[/tex] Mulching a yard
Add up
[tex]\$40 +\$75 = \$115[/tex]
This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.
Read more about equations at:
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Simplify the following expression completely, where x
Step-by-step explanation:
[tex]x \sqrt{5x {y}^{4} } + \sqrt{405 {x}^{3} y {}^{4} } - \sqrt{80 {x}^{3} {y}^{4} } [/tex]
[tex]x \sqrt{5xy {}^{4} } + 9 x\sqrt{5xy {}^{4} } - 4x \sqrt{5xy {}^{4} } [/tex]
[tex]6x \sqrt{5xy {}^{4} } [/tex]
Answer:
[tex]x\sqrt{5xy^4} + \sqrt{405x^3y^4} -\sqrt{80x^3y^4} =[/tex]
[tex]xy^2\sqrt{5x} + 9xy^2\sqrt{5x} -4xy^2\sqrt{5x} =[/tex]
[tex]xy^2\sqrt{5x} (1 + 9 - 4) =[/tex]
[tex]6xy^2\sqrt{5x}[/tex]
35 POINTS, i dont understand this question!!!! can someone give me a brief yet useful explanation??
Write the integer that represents the situation. °F represents the change The temperature was 15°F. It dropped so that the temperature was 0°F. in temperature. °F represents the change in temperature.
Hi there!
»»————- ★ ————-««
I believe your answer is:
-15
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The temperature dropped from 15°F to 0°F. The change was negative in value since it dropped to a lower temperature. The temperature dropped by 15 degrees, so we would fill in the blank with -15.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
16. If there are 15 girls and 45 boys in a class. Then, find the percentage of boys and girls.
Answer:
25% and 75%
Step-by-step explanation:
15+45=60
girl = [tex]\frac{15}{60} *100[/tex] = 25%
boy = [tex]\frac{45}{60} *100[/tex] = 75%
Pls Help…
11 Alicia buys a car that costs $26610, and she makes a $3140 down payment on it. How much
does she still owe on the car? Give units.
Answer:
$23,470
Step-by-step explanation:
A down payment is how much you pay upfront for a car. So, how much she still owes will be the difference between the total cost and the down payment. Therefore, subtract $3,140 from $26,610; 26610-3140=23470. Then, since you are talking about money the units are dollars, $.
Which expression is equivalent to 10° ?
o 10 - 10 - 10 - 10 - 10 - 10
O 6.6.6.6.6.6.6.6.6.6
0 10. 10. 10. 10.10
o I don't know.
Hi
Answer:
The first one: 10*10*10*10*10*10
Step-by-step explanation:
This is because the power of a number is how many times you multiply it by itself (example: [tex]2^{4}[/tex] = 2*2*2*2 because the power is 4 which means you multiply the base by itself 4 times, in this case the base is 2)
Answer:
A. 10 · 10 · 10 · 10 · 10 · 10
Step-by-step explanation:
[tex]10^6[/tex] is just 10 times itself, 6 times.
In math how can you tell if something is a function.
Answer:
if the line dosent have the same x's
Step-by-step explanation: