Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
WILL GIVE BRAINLIEST AND 30 POINTS!
Admission to a baseball game is $5.00 for general admission and $7.00 for reserved seats. The receipts were $6192.00 for 1136 paid admissions. How many of each ticket were sold? (Round to nearest integer if necessary.)
_ general admissions tickets sold
_ reserved seating tickets sold
Answer:
General admissions sold: 880
Reserved seating sold: 256
Step-by-step explanation:
Set up equation:
Variable x = people who bought general admission
Variable y = people who bought reserved seating
x + y = 1136
5x + 7y = 6192
Isolate a variable in any equation:
Y = 1136 - x
Substitute the value of the variable in the other equation:
5x + 7(1136 - x) = 6192
5x + 7952 - 7x = 6192
-2x + 7952 = 6192
-2x = -1760
x = 880
Substitute the value of x in any equation:
880 + y = 1136
y = 256
Check your work:
880 + 256 = 1136
1136 = 1136
Correct!
5(880) + 7(256) = 6192
4400 + 1792 = 6192
6192 = 6192
Correct!
Difference of the square of (x+6)(x+4)
Answer:
x^2 + 10x + 24
Step-by-step explanation:
(x+6)(x+4)
x^2 + 4x + 6x + 24
x^2 + 10x + 24
need help asap today by 5
Answer:
I put a photo of the answers.
Step-by-step explanation:
For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.
please please please help asap
Answer:
1,3,5
Step-by-step explanation:
81 is a perfect square so it can be written as an integer
11.8 is rational because it can be written as a fraction (107/9)
sqrt(6) isn't a perfect square so it is irrational
3/7 is a fraction so it is rational
8.57 is a terminating decimal so it is rational
SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250
The answer you are looking for is letter A, x=30.
Solution/Explanation:
First, write out the equation,
1200-5(3x+30)=600
Next, using the Distributive Property,
1200-15x-150=600
Simplify the left side of the equation just a little bit more,
1050-15x=600
Reverse order of terms on the left side, to make it a little bit easier to solve,
-15x+1050=600
Now, subtract 1050 from both sides,
-15x+1050-1050=600-1050
Now, simplify this part of the equation,
-15x=-450
Finally, divide both sides by -15,
So, therefore, the final answer is x=30.
I hope this helped you. Enjoy your day, and take care!
What is the distance from point N to LM in the figure below?
Answer:
It is 7.5
Step-by-step explanation:
Helpppp pleaseeee !!!!!!
Answer:
149 inches squared
Step-by-step explanation:
top rectangle: 25 * 7 = 175
second rectangle: 8 * (25 - 17) = 8^2 = 64
triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10
175 + 64 + 10 = 149 sq in
hopefully got this right!
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04. Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers.
The Constructed confidence interval for the proportion of her photographs taken within the last year contained flowers is
[tex]CI\ E(0.57,0.65)[/tex]
From the question we are told that:
The proportion of photographs that had flowers P= 0.61
Margin of error of M.E= 0.04
Generally, the equation for Confidence interval for proportion is mathematically given by
[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E
Therefore Confidence interval is
[tex]CI=0.61 \pm 0.04[/tex]
And can also be written as
[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]
[tex]CI\ E(0.57,0.65)[/tex]
In conclusion the Confidence interval is
[tex]CI\ E(0.57,0.65)[/tex]
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Evaluate 4(3 - 1)^2..
Answer:
16
Step-by-step explanation:
4(3 - 1)^2
~Simplify using PEMDAS
4(2)^2
4(4)
16
Best of Luck!
Which type of transformation is this?
The type of transformation in this situation is refelction on the x-axis.
It cannot possibly be translated or rotated around the origin.
Hope this helps!
Have a wonderful day!
What would it be tho 300 doesn’t show up in my options my options are
1/49 -1/49 -49 and 49
Find the difference quotient for f(x) = x2 + 4.
I am trying to simplify a difference quotient with the form
f(x+h)−f(h)/h
if f(x)=2/x2 I have attempted to cancel out the denominator of the numerator by the least common denominator method. I know that I can solve this using implicit differentiation, but am trying to use the difference quotient to get the partial derivative
Here is my work so far:
f(x+h)−f(x)(h)
=f(2/(x+h)2)−f(2/x2)h
=(2/(x+h)2)−(2/x2)h
here I multiply by the LCD
=(2(x2)−2(x+h)2)/(x2(x+h)2)h
Here I expand out the top and cancel out 2x2
=(2x2−(2x2+4xh+2h2))/(x2(x+h)2)h
=−(4xh+2h2)/(x2(x+h)2))h
Here I think I should multiply by 1/h to get rid of the h on the bottom
I end up with:
=4xh+2h2hx2(x+h)2
factor out an h
=−4x+2hx2(x+h)2
Solve the inequality 2x – 22 < -8.
2x - 22 < -8
Add 22 to both sides
2x < 14
Divide both sides by 2
X < 7
Answer:
[tex]2x-22<-8[/tex]
Add 22 to both sides
[tex]2x-22+22<-8+22[/tex]
[tex]2x<14[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}<\frac{14}{2}[/tex]
[tex]x<7[/tex]
OAmalOHopeO
5a + 18 < −27 pre algibra
Answer:
X < -9
Step-by-step explanation:
5a +18 < -27
5a < -27 -18
5a < - 45
5a/5 < - 45/5
a < - 9
Answred by Gauthmath
Answer: -9
Step-by-step explanation:
5a+18 < -27
5a< -27-18
5a<-45
a< -45/5
a< -9
7x+2y=19
7x+8y=13
Please solve it by Simultaneous method
Answer:
y=-1
x=3
Step-by-step explanation:
7x+2y=19-----(1)
7x+8y=13------(2)
(1)-(2)
(7x+2y)-(7x+8y)=19-13
7x+2y-7x-8y=6
+2y-8y=6
-6y=6
y=-1
by substitute in (1)
7x+2*(-1)=19
7x-2=19
7x=19+2
7x=21
x=21/3
x=3
Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probability that it will not be yellow?
You get a pie chart to do percentages just so you dont cheat you still can do work y'know
4. a) x2 + xy2 + y 4
Answer:
x2 + xy2 + y 4=(x+y^2)^2-xy^2
Step-by-step explanation:
Here is a list of fractions 18/45 14/30 10/25 8/20 16/40 one of these fractions are not equivalent to 2/5 write down this fractions
Answer:
14/30Step-by-step explanation:
How to simplify: • divide both numerator and denominator by their GCF.18/45= 18 ÷ 9 / 45 ÷ 9= 2/514/30= 14 ÷ 2 / 30 ÷ 2= 7/1510/25= 10 ÷ 5 / 25 ÷ 5= 2/58/20= 8 ÷ 4 / 20 ÷ 4= 2/516/40= 16 ÷ 8 / 40 ÷ 8= 2/5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
[tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex] in the list of fractions [tex]\frac{18}{45}, \frac{14}{30} , \frac{x}{y} \frac{10}{25}, \frac{8}{20}, \frac{16}{40}[/tex].
Equivalent FractionsEquivalent fractions represent the same value even though they look different.
How to determine the Equivalent fractions?We know we can find an equivalent fraction of a given fraction by or dividing both the numerator and denominator of the given fraction with the same number (maybe LCM or HCF of the numerator or denominator).
[tex]\frac{18}{45}=\frac{18/9}{45/9}=\frac{2}{5}[/tex] (since [tex]9[/tex] is HCF of [tex]18, 45[/tex])
[tex]\frac{14}{30}=\frac{14/2}{30/2}=\frac{7}{15}[/tex] (since [tex]2[/tex] is HCF of [tex]7, 15[/tex])
[tex]\frac{10}{25} =\frac{10/5}{25/5} =\frac{2}{5}[/tex] (since [tex]5[/tex] is HCF of [tex]10, 25[/tex])
[tex]\frac{8}{20} =\frac{8/4}{20/4} =\frac{2}{5}[/tex] (since [tex]4[/tex] is HCF of [tex]8, 20[/tex])
[tex]\frac{16}{40} =\frac{16/8}{40/8} =\frac{2}{5}[/tex] (since [tex]8[/tex] is HCF of [tex]16, 40[/tex])
Thus, [tex]\frac{14}{30}[/tex] is not equivalent to [tex]\frac{2}{5}[/tex].
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May somebody help with this and show how you solved these 4 problems??
Answer:
x=27
y=25
c=12
n=70
Step-by-step explanation:
a- x-10=17
isolate the x by adding 10 to both sides
x=27
b- y+7=32
isolate the y by subtracting 7 from both sides
y=25
c- 4c=48
isolate c by dividing both sides by 4
c=12
d- n/5=14
isolate the n by multiplying both sides by 5
n=70
Answer:
a) [tex]x-10=17[/tex]
Add 10 to both sides:-
[tex]x-10+10=17+10[/tex][tex]x=27[/tex]----------
b) [tex]y+7=32[/tex]
Subtract 7 from both sides
[tex]y+7-7=32-7[/tex][tex]y=25[/tex]------------
c) [tex]4c=48[/tex]
Divide both sides by 4
[tex]\frac{4c}{4}=\frac{48}{4}[/tex][tex]c=12[/tex]------------
d) [tex]\frac{n}{5}=14[/tex]
Multiply both sides by 5
[tex]\frac{5n}{5}=14\cdot \:5[/tex][tex]n=70[/tex]OAmalOHopeO
help lol i forgot everything of the summer time
fill in the table using this function rule
Answer:
hope it help you
Step-by-step explanation:
mark me brailiest answer
Select the best answer to describe the parabola
Positive parabola that has a minimum.
It’s positive if it opens upward, negative if it opens downward. It has a minimum if it opens upward, and maximum when it opens downward.
find the missing side. Round it the nearest tenth.
Answer: x= 11√3= 19.0525 = 19.1
Step-by-step explanation:
Let the reference angle be 30
so
cos 30 = b/h
√3/2 = x/22
or, 22√3 = 2x
or. x = (22√3)/2
so, x = 11√3
Answer:
x = 19.1 cm
Step-by-step explanation:
→ Find the name of the side you are not given
Opposite
→ Find a formula without opposite in it
Cos = Adjacent ÷ Hypotenuse
→ Rearrange to make adjacent the subject
Adjacent = Cos × Hypotenuse
→ Substitute in the values
Adjacent = Cos ( 30 ) × 22
→ Simplify
Adjacent = 19.1
I NEEDDD HELPPP ITSSSSSS URGENTTTTT!!!
Basically count/add up the total amount of degrees that are include in the angle <FHD.
-- (central angles)
So, 35 + 65 = 100 degrees
If give 7 billions for 7 millions people. What is total?
Answer:
this is a very big number
Step-by-step explanation:
(7000000000)⁷⁰⁰⁰⁰⁰⁰
For the remaining questions, show your work.
6. Solve each of the following equations.
a. - 5 = -3 + a
b.Зc + 2 = -22
Step-by-step explanation:
6a.
[tex] - 5 = - 3 + a[/tex]
[tex] - 2 = a[/tex]
6b.
[tex]3c + 2 = - 22[/tex]
[tex]3c = - 24[/tex]
[tex]c = - 8[/tex]
The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.
Answer:
Area of each sector=[tex]12.6cm^2[/tex]
Step-by-step explanation:
We are given that
Length of each wooden od that connects the center of the fan to its edge ,r=12 cm
Total number of sectors=18
We have to find the approximate area of each sector.
Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]
Using the formula
Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]
Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]
Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]
Where [tex]\pi=3.14[/tex]
Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]
For the function F defined by F(x)=x2−2x+4, find F(|−4|).
A. 8
B. 4
C. 12
D. 28
Answer:
12
Step-by-step explanation:
F(x)=x^2−2x+4
Let x = |-4| = 4
F(|-4|)=4^2−2(4)+4
= 16 -8+4
= 8+4
= 12
If x=2 and y=1, what is the value of the expression 3(y - 1) + 2x² ? a. 8 b. 10 c. 16 d. 18
Answer:
8
Step-by-step explanation:
3(y - 1) + 2x²
Let x =2 and y =1
3(1-1)+2 (2)^2
3(0) +2(4)
0+8
Help me! thank you so much
Answer:
Step-by-step explanation:
[tex]\frac{sinxcos^3x-cos xsin^3x}{cos^42x-sin^42x} \\=\frac{sin x cos x(cos^2x-sin ^2 x)}{(cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)} \\=\frac{2sin x cos x cos 2x}{2(1)(cos 4x)} \\=\frac{sin 2x cos 2x}{2 cos 4x} \\=\frac{2 sin 2x cos 2x}{4 cos 4x} \\=\frac{sin 4x}{4 cos 4x} \\=\frac{1}{4} tan 4x[/tex]
I need help please. The question is already there. Tysm. 20 points.
Answer:
$109 and 35%
Step-by-step explanation:
49.05 is the sale price and the discount is 55%. What’s the original price?
price/ 1- discount
49.05/ 1 - 0.55
49.05/ 0.45
109
for the other part
to find the discount subtract final price from original price
94 - 61.10 = 32.9
Which would be 35% in percent form.