Answer:
x = ±[tex]\sqrt{7}[/tex] - 5
Step-by-step explanation:
x^2 - 10x = -18
x^2 - 10x + 18 = 0
(x + 5)^2 - 5^2 + 18 = 0
(x + 5)^2 - 7 = 0
(x + 5)^2 = 7
[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]
x = ±[tex]\sqrt{7}[/tex] - 5
Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?
Answer:
12.76
Step-by-step explanation:
because 510.44 x 2.5%= 510.44 x 0.025= 12.76
hope this helps you guys have a great day to all of you guys
The finance charge would be the amount of $6.64 on Lauren's February statement.
What is the finance charge?
The finance charge is the multiplication of the average daily balance and the monthly periodic rate.
The finance charge = average daily balance × monthly periodic rate
The bill shows an average daily balance of $510.44, and the monthly periodic rate is 1.3%.
The finance charge = $510.44 x 1.3%.
The finance charge = $6.635
Round the nearest to the hundredth,
The finance charge = $6.64
Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.
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A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)
The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
Given the following
Initial population = 150 birdsIf there is a 16% increase, the increment will be 0.16(150)
The population B(t) as a function of time will be expreessed as:
B(t) = 150(1+0.16)
B(t) = 150 (1.16)
Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
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An airplane flies 630 miles per hour for 2,400 miles with the wind in the same amount time it flies 2,100 miles against the wind. Find the speed of the wind.
Answer:
42 mph
Have a wonderful day! Please mark me as Brainliest!
Find y
Find m
Find m
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
i need help please!!!!
Answer:
not parallel.
Step-by-step explanation:
1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));
2) slope of AB: (7-3)/(2-1)=4;
3) slope of CD: (5-2)/(7-6)=3;
4) finally, AB∦CD (4≠3).
What is the value of |–3.25| ?
Answer:
3.25Step-by-step explanation:
Rule: An absolute value will always be positive.
=> Referring to the rule, the absolute value of |–3.25| is 3.25.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
is this correct ? if not what’s the correct answer?
Answer:
yes
Step-by-step explanation:
Solve and show your work for each question...
[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]
pls answer quickly
which customary unit would be most appropriate to weigh an Apple
A) metric tons
B) tons
C) ounces
D) kilograms
Answer:
Ounces
Step-by-step explanation:
Metric tons and tons is too much while kg is too little.
Answer:
its ounces
Step-by-step explanation:
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d
Answer:
40-d
Step-by-step explanation:
Find Y
LOOK AT THE PICTURE
Answer:
D
Step-by-step explanation:
[tex]y = 3\sqrt{2}[/tex]
Just use pythagorean theorem, very simple.
c = [tex]\sqrt{a^{2}+b^{2} }[/tex]
In your case c is y
your answer calculated will come out to 4.24 but put in terms your teacher wants will be
[tex]y = 3\sqrt{2}[/tex]
Enter <, > or = to make the statement true. 17.001 [?] 17.0001
Answer:
17.001>17.0001
Answer:
17.001>17.0001
Step-by-step explanation:
17.001 is greater than 17.0001
Nancy and Bill collect coins. Nancy has x coins. Bill has 3 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.
..........................................
Melody can cycle for 30 miles against the wind in the same amount of
time that is takes her to cycle 66 miles with the wind. If the speed of the
wind is 3 mph, what equation could be used to find Melody's speed
without any wind (x).
Answer:
15x/2*4
Step-by-step explanation:
A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. X > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23.
Option C is correct.
Given to us:
female gazelles[tex](x)[/tex] can be maximum of 12 only. therefore,
Condition 1 is [tex]12\geq x>0[/tex].
while,
male gazelles[tex](y)[/tex] should be exactly 3 times more than females to thrive. therefore,
Condition 2 is [tex]36\geq y>0[/tex].
There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.
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Answer:
c is the answer
Step-by-step explanation:
it took the test and got it correct
Please help with this !
An equivalent expression for16x-8
Answer:
8(2x-1)
Step-by-step explanation:
16x-8=8(2x-1)
A total of 379 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?
A total of 225 tickets were sold to adults for the school play.
How many tickets were sold to adults?
In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:
x + y = 379
x + 71 = y
Where:
x - Tickets sold to students.y - Tickets sold to adults.Now we proceed to solve the system of linear equations:
x + (x + 71) = 379
2 · x = 308
x = 154
And the number of tickets sold to adults is:
y = x + 71
y = 154 + 71
y = 225
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A pair of shoes was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price? 5 points
Answer:
$138
Step-by-step explanation:
120 · 0.15 = 18
120 + 18 = 138
Ms. Lopez wants to buy an ipod. The ticket price shows $225. But she only brought $146.50 to the store. What percent discount would she need so that the ipod sells at the exact amount she has in her pocket?
Answer: 65.11%
Step-by-step explanation:
Store A sells a set for $25 and offers 10% discount. Store B sells a set for $27 and offers 20% discount. Store C sells a set for $26 and offers a 15% discount. After calculating the discounted prices, place the stores in order from LOWEST to HIGHEST price for a set of paintbrushes.
Answer: store B store C store A
Step-by-step explanation: by multiplying the amount the price is with the sale which is .9 for 90% .8 for the 80% and .85 for the 85% by the previous amount you can find how much it is after the sale
An investor invested a total of $3,500 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. If the investor's total profit was $223, how much was invested in each mutual fund?
Answer:
i found this so srry if its wrong i saw no one answering this so i wanna help
Step-by-step explanation:
so, x*(7/100) + (3500 - x)*(4/100) = 197
=> 3x + 14000 = 19700
=> 3x = 19700 - 14000
=> x = 5700/3 = 1900
Finding gradients and intercepts
Write down the gradient and intercept of these lines:
Q1.
Y = 10x + 6
gradient =
intercept =
Q2.
y = 2 - 2x
gradient =
intercept=
Answer:
gradient 10, intercept 6gradient -2, intercept 2Step-by-step explanation:
The "gradient" is the coefficient of x. The "intercept" is the constant.
__
Q1gradient: 10
intercept: 6
__
Q2gradient: -2
intercept: 2
Q1.
For the line equation Y = 10x + 6:
The gradient is the coefficient of x, which is 10.
The intercept is the constant term, which is 6.
Q2.
For the line equation y = 2 - 2x:
The gradient is the coefficient of x, which is -2.
The intercept is the constant term, which is 2.
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The price tag on the remote-controlled helicopter said $79. If Jimmy buys the
helicopter, he'll also have to pay 8% sales tax. How much does the helicopter cost with
tar?
Step-by-step explanation:
79×0.08 = 6.32 (tax)
79(price) + 6.32(tax) = 85.32
ARAT TIETE (Simplify): V125 - V45+ V5
Answer:
3[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{125}[/tex]
= [tex]\sqrt{25(5)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]
= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms
= 3[tex]\sqrt{5}[/tex]
what is the answer -v+91=261
Answer:
v = -170
Step-by-step explanation:
-v + 91 = 261
(-v + 91) - 91 = 261 - 91
-v = 170
-v / -1 = 170 / -1
v = -170
Step-by-step explanation:
(-v) +91 = 261
(-v) =91=261
(-v)=261-91
(-v)=170
v= - 170 (change the signs)
Functions f (solid) and g (dashed) are graphed.
What is the equation of g in terms of f?
A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
Answer:
$24.48
Step-by-step explanation:
2.99+9.99+11.50+7.99/20/10/7 = $24.48
What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0
Answer:
y=4
Step-by-step explanation:
x1=4,y1=4,m=0
Equation of a line: y-y1=m(x-x1)
y-4=0(x-4)
y-4=0
y=4
Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total
Answer:
$39.36
Step-by-step explanation:
Can find how much the sales tax cost:
32 x 0.08 = $2.56
Can also find out how much he tipped:
32 x 0. 15 = $4.80
Total = $32 + sales tax + tip
Total = $32 + $2.56 + $4.80
Total = $39.36
Answer:
$39.36 in total
Step-by-step explanation:
32×0.08= 2.56
32×0.15= 4.8
4.8+2.56= 7.36
32+7.36=39.36