695 km/h
explanation
3475/5 = 695
hope it helps...!!!
Solve the following equations and check your solution using substitution.
6 - 5x = 16
4 - 9x = -7
(BTW pls show your working out)
Answer: 1. [tex]x=-2[/tex]; 2. [tex]x=\frac{11}{9}[/tex]
Step-by-step explanation :
1.
[tex]6-5x=16\\6-5x-6=16-6\\-5x=10\\\frac{-5x}{-5}=\frac{10}{-5}\\x=-2[/tex]
2.
[tex]4-9x=-7\\4-9x-4=-7-4\\-9x=-11\\\frac{-9x}{-9}=\frac{-11}{-9}\\x=\frac{11}{9}[/tex]
Answer:
Q1) x =2 Q2) x = 11/9
Step-by-step explanation:
Q1) 6 - 5x = 16 check : -5(2) = -10
-6 -6 6 -- 10 = 6+ 10 = 16
-5x = 10 Q2) 4 - 9x = -7
-x = -2 -4 -4
x = 2 -9x = - 11
-------------- -x = -11 /9 -----> x = 11/9
There are 132 sixth-grade students who play basketball, lacrosse, or tennis.
33 students play lacrosse
25% of students play tennis
How many students play basketball?
A 86
B 74
C 72
D 66
Answer:
66
Step-by-step explanation:
Lacrosse: 33
Tennis: 33
0.25 x 132 = 33
Basket ball:?
33 + 33 + b = 132
66 + b = 132
132 - 66 = 66
b = 66
Have a great day!
Please rate and mark brainliest!!
Answer:
D. 66
Step-by-step explanation:
Total number of students = 132
If 25% of 132 students play tennis:
⇒ 0.25 × 132 = 33
So 33 students play tennis
Number of students who play basketball is: total number of students minus students play tennis minus students play lacrosse:
= basketball = 132 - 33 - 33 = 66
Can anyone Please help me
Answer:
find the product of (4m-n) and (3m-2n)
45/100•72=45/72•100
True or false
Answer:
False
Step-by-step explanation:
45/100 × 72 = 32.4
45/72 × 100 = 62.5
62.5 ≠ 32.4
Answer:
false
Step-by-step explanation:
45/100x72=32.4%
45/72X100=62.5%
Please Help! Will Give Brainlest!
Answer:
2
Step-by-step explanation:
amplitude = distance from undisturbed position/centre line to trough or peak
Answer:
2
Step-by-step explanation:
amplitutde measures the height of the waves.
Anyone please help me
Answer:
3
Step-by-step explanation:
these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).
and they are also right-angled triangles.
so, what else do we know about them ?
PQ = 18
RT = 6
ST = QT + 9
therefore
QT = ST - 9
and
QR = QT + RT = ST - 9 + 6 = ST - 3
due to the principles of cumulative triangles
PQ/ST = QR/RT = 18/ST = (ST - 3)/6
108/ST = (ST - 3)
108 = (ST - 3)ST = ST² - 3ST
ST² - 3ST - 108 = 0
we can the write
x² - 3x - 108 = 0
and the solution for such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -3
c = -108
x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =
= (3 ± 21)/2
x1 = (3+21)/2 = 24/2 = 12
x2 = (3-21)/2 = -18/2 = -9
a negative solution for real lengths is not valid, so we know
x = ST = 12
so,
QR = ST - 3 = 12 - 3 = 9
and then
QT = QR - RT = 9 - 6 = 3
Solve for A
HELP ASAP!!
Answer: ∠A=144°
Step-by-step explanation:
∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.
10x+24=6x+72 [subtract both sides by 6x]
4x+24=72 [subtract both sides by 24]
4x=48 [divide both sides by 4]
x=12
Now that we found x, we need to plug it into ∠A.
10(12)+24=120+24=144
We know that ∠A=144°.
A rectangular-shaped badminton court has an area of 880 square feet. The width of the court is 20 feet. What is the length of the badminton court?
Answer:
length = 44 ft.
Step-by-step explanation:
A = lw
[tex]880 = 20l\\[/tex]
Solving for l gives us l = 44 ft.
Please help I will give brainliest.
Answer:
The first two
Step-by-step explanation:
graph the parabola to see
The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35° angle of elevation.
Approximately how far apart are the buildings? Round to the nearest foot.
The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method
TrigonometryGiven Data
Height of Building A (Opp) = 400 feetAngle of Elevation θ = 35° Distance between the buildings Adj = ??Applying the SOH CAH TOA Approach we have
Tan θ = Opp/Adj
Substituting our given data we have
Tan 35 = 400/x
0.4738 = 400/x
make x subject of the formula we have
x = 400/0.4738
x = 844.23 feet
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Hazel and 4 of her friends bought tickets for a baseball game. They received a $30 group discount. If the total cost was under $125, how much could each ticket have been?
Each ticket could have cost up to $31.
What is the discount?
A discount is a reduction in the price of an item or service. It is often offered as an incentive to encourage customers to purchase or use a particular product or service. The discount amount may be a percentage of the total price, a fixed dollar amount, or a combination of both.
Let the cost of each ticket be $x. Then the total cost for 5 tickets would be 5x. After applying the $30 group discount, the total cost would be 5x - $30.
We know that the total cost was under $125, so we can set up the inequality:
5x - $30 < $125
Simplifying this inequality, we get:
5x < $155
Dividing both sides by 5, we get:
x < $31
Hence, each ticket could have cost up to $31.
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A political candidate feels that she performed particularly well in the most recent debate against her opponent. Her
campaign manager polled a random sample of 400 likely voters before the debate and a random sample of 500
likely voters after the debate. The 95% confidence interval for the true difference (post-debate minus pre-debate) in
proportions of likely voters who would vote for this candidate was (-0.014, 0.064). What was the difference (pre-
debate minus post-debate) in the sample proportions of likely voters who said they will vote for this candidate?
0.064 +-0.014)
= 0.025
0.064-(-0.014)
= 0.039
0 0.064 + (-0.014) = 0.050
0.064 - (-0.014) = 0.078
N
Considering the confidence interval given, the likely difference is given by:
[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]
What is the point estimate of a confidence interval?Given an interval (a,b), the point estimate is the mean of the bounds, that is:
p = (a + b)/2.
In this problem, the interval is (-0.014, 0.064), hence the expression for the likely difference is given by:
[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]
More can be learned about confidence intervals at https://brainly.com/question/25890103
Pls help with this problem
Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
sin 60 =11/x
x=11/sin (60)
Answer:
sixt
Step-by-step explanation:
thats easy the sin should be six
A teacher used the change of base formula to determine whether the equation below is correct. (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = 3 Which statement explains whether the equation is correct? The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log (2 times 10) times log (4 times 8) times log (10 times 4). = log (20) times log (32) times log (40). =3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 4. The equation is not correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log StartFraction 10 Over 2 EndFraction times log eight-fourths times log four-tenths. = log 5 times log 2 times log 0. 4. = negative 0. 8.
The solution to the problem is correct and the correct option from the given options is B.
What is Logarithm?A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
The given logarithmic problem can be solved in the following manner, therefore,
[tex]\rm log_210\ log_48\ log_{10}4\\\\[/tex]
Using the logarithmic properties, we can write,
[tex]=\rm \dfrac{log10}{log2}\cdot \dfrac{log8}{log4}\cdot \dfrac{log4}{log10}\\\\[/tex]
Now cancelling out the values we will get,
[tex]=\rm \dfrac{log2^3}{log2}\\\\=\rm \dfrac{3log2}{log2}\\\\= 3[/tex]
Thus, the solution to the problem is correct and the correct option from the given options is B.
Learn more about Logarithm:
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Answer:
B
Step-by-step explanation:
on edge
1,200 and 11 and you will get 13,200
Answer:
That is true!
[tex]1,200 * 11 = 13,200[/tex]
Let me know if you need more help with multiplication. I may be able to help.
Have a great day.
f(x)=-2(x-4)^2 for x=2 evaluate
|1/2- x/3|=5/6. Solve for x. There is (most likely) 2 answers
Answer:
Ans is -1
Step-by-step explanation:
Hope the picture will help you..
Convert 315 degrees to radian
Answer:
[tex]\frac{7\pi }{4}[/tex] radians
Step-by-step explanation:
to convert degrees to radians
radians = degrees × [tex]\frac{\pi }{180}[/tex] , then
radian measure = 315° × [tex]\frac{\pi }{180}[/tex] ( cancel 315 and 180 by 45 )
= 7 × [tex]\frac{\pi }{4}[/tex]
= [tex]\frac{7\pi }{4}[/tex]
315 degrees is equal to 5.49779 radians.
To convert degrees to radians, you need to multiply the degree measure by the conversion factor of π/180.
Let's convert 315 degrees to radians:
315 degrees × (π/180)
315×3.14 /180
= 5.49779 radians
Therefore, 315 degrees is equal to 5.49779 radians.
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What is the value of angle h? How do you know (what type of angle pairs are they)?
Answer:
can you provide an image?
Step-by-step explanation:
Helppp Please!!!!!!!!
Answer:
Emma began her journey at 7:30 a.m., at 8 a.m. she was 20 miles away, she stayed for an hour and a half, she left at 10 a.m., she was 7.5 miles from her house at 11:45, she traveled 80 miles total
Step-by-step explanation:
please let me know what you don't understand here. because this is really simple.
the distance from home is increasing and then decreasing when she is traveling.
the rate of distance per time would give us even the speed with which she was traveling.
when there is no change in the distance over time, that means she was "stationary" - either at home or at her grandmother's place.
so, let's answer the questions :
(a)
movement started at 7:30am (that is when she began her journey).
(b)
20 miles
you pick 8am on the time scale and move straight up until you hit the curve. and then you check what value is at that point all the way to the left on the distance scale : 20.
(c)
from 8:30am to 10am = 1.5 hours.
we see this by the interval on the time scale for which the curve is totally flat (a horizontal line) = no change in distance from home during that time.
(d)
at 10am
that is when the curve indicates the begin of a change in the distance to home.
(e)
7.5 miles.
this is the point marked by a star on the graph.
down on the time scale this point shows 11:45am, and on the left side in the distance scale it shows 7.5 miles (the middle between 5 and 10 miles).
so, at that time she was still 7.5 miles away from home.
(f)
she traveled 40 miles to her grandmother (the left part of the curve from 0 distance until it turns flat), and then 40 miles back home (the right part of the curve from 40 distance all the way down to 0).
so, in total she traveled
40 + 40 = 80 miles
Hello, could anyone please help me with my homework?
My question is:-
(x+6)^6
Please solve A.S.A.P.
Kindly don't lose your precious time by spamming; instead, please provide a high-quality answer. Thanks in advance :-)
Answer:
[tex] (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656{x}^{} + 46656 [/tex]
Step-by-step explanation:
we want to solve the following binomial:
[tex](x + 6 {)}^{6} [/tex]
There is a handy way to expand powers of binomials which is known as binomial theorem . and it describes the algebraic expansion of powers of a binomial. binomial theorem is given by
[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0 }^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]
comparing (x+6)⁶ to (a+b)ⁿ , we get
[tex]a \implies \: x[/tex][tex]b\implies \: 6[/tex][tex]n\implies \: 6[/tex]now substitute them on the formula which yields:
[tex] \displaystyle (x + 6 {)}^{6} = \sum _{k = 0 }^{n} \binom{6}{k} {x}^{6 - k} \cdot {6}^{k} [/tex]
converting the summation notation into sum yields:
[tex] \displaystyle (x + 6 {)}^{6} = \binom{6}{0} {x}^{6 - 0} \cdot {6}^{0} + \binom{6}{1} {x}^{6 - 1} \cdot {6}^{1} + \binom{6}{2} {x}^{6 - 2} \cdot {6}^{2} + \binom{6}{3} {x}^{6 - 3} \cdot {6}^{3} + \binom{6}{4} {x}^{6 - 4} \cdot {6}^{4} + \binom{6}{5} {x}^{6 - 5} \cdot {6}^{5} + \binom{6}{6} {x}^{6 - 6} \cdot {6}^{6} \\ \implies(x + 6 {)}^{6} = \binom{6}{0} {x}^{6 } \cdot 1 + \binom{6}{1} {x}^{5} \cdot {6} + \binom{6}{2} {x}^{4} \cdot 36+ \binom{6}{3} {x}^{3} \cdot 216 + \binom{6}{4} {x}^{2} \cdot 1296+ \binom{6}{5} {x}^{} \cdot 7776+ \binom{6}{6} {x}^{0} \cdot 46656 \\ \implies(x + 6 {)}^{6} = 1 \cdot {x}^{6 } \cdot 1 + 6 \cdot{x}^{5} \cdot {6} + 15 \cdot {x}^{4} \cdot 36+ 20 \cdot {x}^{3} \cdot 216 + 15 \cdot{x}^{2} \cdot 1296+ 6 \cdot {x}^{} \cdot 7776+ 1 \cdot {x}^{0} \cdot 46656 \\ \implies \boxed{ (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656 {x}^{} + 46656 }[/tex]
and we're done!
Find the measure of the missing angle in this triangle.
Answer:
b = 25°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
b + 110° + 45° = 180°
b + 155° = 180° ( subtract 155° from both sides )
b = 25°
Aiden and his two friends ordered a pizza with 12 slices. Together they ate 2/3 of the pizza. If they evenly divided what was left, how many slices would each of them receive
Answer:
they would get 1 piece each and would probably have to fight for the last one
Step-by-step explanation:
12 divided by 3 = 4
4x2=8
12-8=4
4 divided by 3 = 1 remainder 1
The number of slices would each of them receives will be 2 ²/₃ pieces.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Aiden and his two friends ordered a pizza with 12 slices. Together they ate 2/3 of the pizza.
Then the number of pieces eaten is calculated as,
⇒ 2/3 x 12
⇒ 8
If they are evenly divided. Then we have
⇒ 8 / 3
⇒ 2 ²/₃
The number of slices would each of them receives will be 2 ²/₃ pieces.
More about the Algebra link is given below.
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Find the surface area of the prism shown below.
Help me please I’m struggling with this subject :/
Answer:
I believe the answer is 135 square feet.
Step-by-step explanation:
so 10x12=120. 10x3=30 and you divide the triangle by 2 so 30/2=15. 120+15=135
well, we don't know the cost of the carpet, however hmmm we know the cost of the carpet is 4 bucks per ft², which means we need to know how many ft² the Randall family is going to use in the first place hmmmm, Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=12\\ b=15\\ h=10 \end{cases}\implies \begin{array}{llll} A=\cfrac{10(12+15)}{2} \\\\\\ A=\cfrac{10(27)}{2}\implies A=135~ft^2 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{per~ft^2}{(4)}~~\stackrel{area~in~ft^2}{(135)}\implies \stackrel{\$}{540}\impliedby \textit{total cost}[/tex]
James has 13. 7 ounces of trail mix. He shares the trail mix equally with his sister. How much trail mix does each person get?
6. 35 oz
6. 85 oz
7. 35 oz
7. 7 oz
Step-by-step explanation:
13.7 divide by 2 because he and his sister are sharing the trail mix.13.7 = 2x6=12 so 13-12=1 and bring down the 7 so 2x8=16 17-16=11 so 2x5=10 11-10=1. But don't put 6.851 put 6.85 ounces.HELPP PLSS!!!!!!!
Find the volume of the following objects.
Answer:
First cone: 29.32
Steps:
1. 3.14(2^2)7/3
2. 3.14(4)7/3
3. 12.56(7/3)
4. 12.56(2.3
5. 29.32
Second cone: 1526.81
Divide 18 in half and so same steps as above to get the answer! :)
Have a great day!!
Please rate and mark brainliest!!
Answer:
Cone 1 = 29.32mi || Cone 2 = 1526.81
Step-by-step explanation:
Step 1) Apply formula (volume of cone)
V= 1/3 * π * r^2 * h [OR] V= π * r^2 * h/3
Step 2) Insert numbers. (cone 1)
V= π * 2^2 * 7/3
Step 3) Insert numbers. (cone 2)
V= π * 9^2 * 18/3 (r=9 because r=1/2 base diameter of circle, 18/2=9)
Step 4) Plug and solve.
Step 5) CHECK YOUR ANSWER BEFORE SUBMISSION. Do it a few times just to make sure it checks out, and then continue!
Write the word sentence as an equation.
5 is one-fourth of a number c. PLEASE HELP
Mrs. Gomez purchased a pair of sneakers for $32.50 and two shirts for
$13.00 each. If Mrs. Gomez pays 8% in sales tax, then what is the total
cost Mrs. Gomez will pay for the sneakers and shirts? *
Your answer
Answer:
62.86
Step-by-step explanation:
Add the cost of things without sales tax:
32.5+ (13×2)=58.5
Convert percent to decimal:
8/100=0.08
Multiply cost without sales tax by sales tax to get the amount added to the cost:
0.08×58.2=4.656
Add cost and sales tax amount to get total payment:
4.656+58.5=62.856
Round the total payment to the nearest hundredth place:
62.86