Answer:
The value of x is 4.
Step-by-step explanation:
The perimeter of the triangle is the sum of the lengths of all its sides.
The perimeter of the rectangle is twice the sum of the length and the width.
base of triangle = x
two equal sides = x + 5
length of rectangle = x - 1
width of rectangle = x + 4
According to the question,
Perimeter of triangle = perimeter of rectangle
x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)
3 x + 10 = 2 (2 x + 3 )
3 x + 10 = 4 x + 6
4 x - 3 x = 10 - 6
x = 4
Help please! The area of a swimming pool is 45 square meters. The width of the pool is 3 meters. What is the length of the pool in centimeters?
Answer: 15 m
Step-by-step explanation:
Given
The area of the swimming pool is [tex]A=45\ m^2[/tex]
Width of the pool is [tex]w=3\ m[/tex]
Suppose l is the length of the pool
So, the area is given by the multiplication of length and width
[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]
So, the length of the pool is 15 m.
Lemont answered 6 out of 40 questions on a
test incorrectly. What percentage of the
questions did he answer correctly?
Answer:
85%
Step-by-step explanation:
(40 - 6)/40 * 100%
34/40 * 100%
85%
Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
A large bag contains 16 red, 48 blue, and 16 green marbles. Each student in Mrs. Wynn's class randomly selects a marble, records the color, and then puts the marble back into the bag. Mrs. Wynn then reports the total number of red, blue, and green marbles selected by the entire class.
Which of these statements are true? Choose all that are correct.
A.
Theoretically, the probability of selecting one red marble from this bag is 0.20.
B.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.
C.
If there are 30 students in the class, the total number of blue marbles selected should be about 18 but may be more or less.
D.
It is possible that every student selects a green marble.
E.
If the total number of red marbles selected is not equal to the total number of green marbles selected, then there was a mistake in selecting the marbles or recording the data.
Answer:
Find the volume of this prism.
Theoretically, the probability of selecting one red marble from this bag is 0.20.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.
What are the probabilities?Probability determines how likely it is an event would happen. The chances of the event happening lie between 0 and 1.
The probability of selecting one red marble from this bag = number of red marbles / total number of marbles
16 / 80 = 0.20
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
Plsss Answer 100% will mark as brainlist!!!
In the following figure ABCD, find the value of x
Answer:
80°
because its diagnol so the one in the top corner is the same as x
Answer:
x = 140°
Step-by-step explanation:
Sum of exterior angles of polygon is 360°
That is, x + 70 + 80 + 70 = 360
x + 220 = 360
x = 360 - 220 = 140°
PLZ HURYY
THANK YOUU
y = -19
I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other
The quantity of an element is decaying over time such that the amount of material at
any time is given by the function S(t) = 1000(0.9)3t. Write an equivalent function
of the form S(t) = abt.
Answer:
S(t) = 1000(0.729)^t
Step-by-step explanation:
S(t) = 1000(0.9)^(3t)
S(t) = 1000((.09)^(3))^t
S(t) = 1000(0.729)^t
find the percent increase is admission to the amusement park is raised from $70 to $80.
Answer:
14.286% increase
Step-by-step explanation:
Since the admission to the amusement park increased by $10 we need to find what percentage of $70 equals $10.
We can find this percentage by multiplying 10 (the difference in money) by 100 (a hundred percent), and dividing that by 70 (the initial cost)
[tex]10*100/70=14.286[/tex]
evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5
Answer:
17
Step-by-step explanation:
Given
4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression
= 4(0.25 + 5) - 8(0.5)
= 4(5.25) - 4
= 21 - 4
= 17
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons of gas with us the average gas mileage for Stephanie car?
Answer:
0.0428 miles per gallon
Step-by-step explanation:
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons
Given data
Distance driven = 280miles
Fuel used= 12 gallons
Hence the gas per mile is expressed as
Gas per mile= 12/280
Gas per mile= 0.0428 miles per gallon
help please hurryyyy!!! help pls hurry
Answer:
3 is 18
4 is 14
5 is 10
6 is 6
I hope this helps
help me with this mathematics
Answer: B
Step-by-step explanation: 65/100 = 65%
explain why 7x+3 cannot be factorised
Answer:
There is no common factor
Step-by-step explanation:
If I = “-1” then i2 =
Answer:
-2
Step-by-step explanation:
negative times positive equal negative so
-1×2= -2
Answer:
[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]
We're provided - i = -1 & we're asked to find out the value of i².Plug the value of ( i ) in ( i ²) , it would be ( - 1 ² ). Now , You must have known that when the two negative integers are multiplied , the result will be a positive integer i.e ( - 1 ) × ( - 1 ) = 1 .[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]
☂ Let me know if you have any questions regarding my answer :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
What is the likely means of measurement for the data in the chart below?
a. 100-meter run data
b. seconds
c. stop watch
d. 7 observations
Answer:
C
Step-by-step explanation:
I might be wrong. I hope it helps:)
A regular octagon has a perimeter of 30 centimeters. Find the length of each side.
Step-by-step explanation:
Perimeter=8l
30cm=8l
l=30/8=3.75cm
Answer and Step-by-step explanation:
An octagon has 8 sides in total. The perimeter of a shape is the sum of all sides added together.
To find the length of each side, we divide the perimeter by the amount of sides.
30 ÷ 8 = 3.75
The answer is 3.75 centimeters.
#teamtrees #PAW (Plant And Water)
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 135°
Step-by-step explanation:
4 sides and the diagonal are the same.
Therefore, it is square with each interior angle = 90°
The diagonal bisects the interior angle to 45° , 45°
x + 45° = 180° [ straight line angle ]
x = 180 - 45 = 135°
can someone help me please
Answer:
B and E
Step-by-step explanation:
3^-8/3^-4 = 1/81 or .01234567...
I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.
3^-12 = 1/531441 <- not the answer
3^-4 = 1/81 <- answer!
3^2 = 9
1/3^2 = 1/9
1/3^4 = 1/81
1/3^12 = 1/531441
its also good to remember
3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.
Hope this helps!
[tex]B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ [/tex]
Step-by-step explanation:
[tex] \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Please help (add work/reasoning if you can)
Answer:
A
[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]
The distance around a circular park is 176 yards. What is the area of the park? Use 22/7 for π.
Answer:
2464 yd²
Step-by-step explanation:
Use the circle circumference formula: 2πr
2·[tex]\frac{22}{7}[/tex]·r=176
[tex]\frac{44}{7}[/tex]r=176
r=176·[tex]\frac{7}{44}[/tex]
r=28
Area of circle formula: πr²
[tex]\frac{22}{7}[/tex]·r²
[tex]\frac{22}{7}[/tex]·28²
[tex]\frac{22}{7}[/tex]·784
=2464 yd²
A particular strain of bacterium has 20 bacteria in generation 1 and triples in
population every generation. The explicit formula for the number of bacteria
in generation n is:
a(n) = 20-3(n-1)
How many bacteria are in generation 9?
A. 480
B. 131,220
C. 6561
D. 393,660
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.
Help someone plsss!!!!!!!!!!
Answer:
150 degrees.
Step-by-step explanation:
We know, 1 Hour angles = 15 Degrees
So, 10 hour walking = 10*15 = 150 degrees
Hope this will help. Please mark me brainliest.
solve using the quadratic formula 2x^2+9x=5
Answer:
x = -1/2, x = -5 OR x = -0.5 and x = -4
Step-by-step explanation:
I’ll just put a picture, I can’t fully explain digitally. ;D
SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
y =
Answer:
A general sinusoidal equation is:
y = A*sin(w*x + p) + M
where:
A is the amplitude
w is the angular frequency
p is the phase shift
M is the midline.
Now, we know that:
Amplitude must be 6, so A = 6
period is 2*pi/3
Remember that the frequency is the inverse of the period, then:
f = 1/T
f = 1/(2*pi/3) = 3/(2*pi)
And the angular frequency is 2*pi times the normal frequency, then:
w = 2*pi*f = 2*pi*(3/2*pi) = 3
w = 3
Here we not have information about the midline, so M = 0.
And we know that the phase shift is one unit to the left.
Remember horizontal translations:
for a function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, then the translation is to the left
if N < 0 , then the translation is to the right,
Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:
p = +1
Replacing these in the equation we get:
y = 6*sin(3*x + 1) + 0
y = 6*sin(3*x + 1)
What is The answer , what goes in the QR
may be QR also equal to 34
which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D
hola quien habla español bueno ya no Adios :)
Answer:
C.(B and D
Step-by-step explanation:
Math help please urgent
Answer:
THREE AND SIX OR FOUR AND FIVE
Step-by-step explanation:
They're just opposite ends !
Step-by-step explanation:
Alternate Interior Angles: 3 and 6
Alternate Exterior Angles: 2 and 7
Why would the answer be 3.?
Answer: Cause why not?
Step-by-step explanation:
[tex]3(4x-1)=-2x+19+8x-4[/tex]
First combine like terms:
[tex]3(4x-1)=(-2x+8x)+(19-4)\\\\3(4x-1)=6x+15[/tex]
Now distributive property
[tex](3)(4x)-(3)(1)=6x+15\\12x-3=15+6x[/tex]
Additive Property of Equality
[tex]12x-3+3=15+6x+3\\12x=18+6x[/tex]
Subtractive Property of Equality
[tex]12x-6x=18+6x-6x\\6x=18[/tex]
And finally Division Property of Equality
[tex]\frac{6x}{6} =\frac{18}{6} \\x=3[/tex]