Answer:
1.) x= 3
2.) x=5
3.) x=2
Step-by-step explanation:
1) 7x+8=29
( -8). 7x=21. (-8)
(÷7). x=3. (÷7)
2). 6x+6=36
6x=30. subtract 6
x=5. divide by 6
3). 7+6x=19
6x+7=19. rearrange it
6x=12. subtract 7
x=2. divide by 6
[tex] \huge\mathbb\red{ANSWER} [/tex]
[tex] \mathsf \purple{7x + 8 = 29}[/tex]
[tex] \mathsf \pink{7x + 8 - 8 = 29 - 8}[/tex]
[tex] \mathsf \purple{7x = 21}[/tex]
[tex] \mathsf \pink{ \frac{7x}{7} = \frac{21}{7} }[/tex]
[tex] \mathsf \purple{x = 3}[/tex]
[tex] \mathsf \red{6x + 6 = 36}[/tex]
[tex] \mathsf \green{6x + 6 - 6 = 36 - 6}[/tex]
[tex] \mathsf \red{6x = 30}[/tex]
[tex] \mathsf \green{ \frac{6x}{6} = \frac{30}{6} }[/tex]
[tex] \mathsf \red{x = 5}[/tex]
[tex] \mathsf \blue{7 + 6x = 19}[/tex]
[tex] \mathsf \orange{ - 7 + 7 + 6x = 19 - 7}[/tex]
[tex] \mathsf \blue{6x = 12}[/tex]
[tex] \mathsf \orange{ \frac{6x}{6} = \frac{12}{6} }[/tex]
[tex] \mathsf \blue{x = 2}[/tex]
what is the slope of the line containing the point( -9,2) and (3,14)
Answer:
the slop is 1
Step-by-step explanation:
hop that help
The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 feet wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.
To the nearest cubic foot, what is the volume of the greenhouse?
The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³
The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³
Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³
The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³
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Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Enter your answer in the grid.
WHAT IS Z?
Answer:
z = 50.2802734375
Step-by-step explanation:
y = 15.5
y is 512 times x
z is 50.25 more than x
15.5/512 = 0.0302734375
x = 0.0302734375
0.0302734375 + 50.25 = 50.2802734375
z = 50.2802734375
use the distributive property to rewrite the expression 6(10+n)=
Answer:
60 + 6n
Step-by-step explanation:
Distribute 6 to both terms:
6 * 10 is 60
6 * n is 6n
Both total are 60 + 6n
Hey there!
6(10 + n)
= 6(10 + 1n)
DISTRIBUTE 6 WITHIN the PARENTHESES
= 6(10) + 6(1n)
= 60 + 6n
= 6n + 60
Therefore, your answer is: 6n + 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Express the trig ratios as fractions in simplest terms.
Answer:
Step-by-step explanation:
SOH CAH TOA
cos K = 36/48 = 3/4
SIN L = 36/48 = 3/4
The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The triangle JKL is right angled triangle.
In the triangle KL is the opposite side of angle J.
SinL = Opposite/Hypotenuse
CosK = Adjacent/Hypotenuse
Used here, this means ...
sin(L) = KL/JL = 36/60 =6/10=3/5
cos(K) = KJ/KL = 36/60 = 6/10=3/5
sin(L) and cos(K) are equal
Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .
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Runchuan filled his 6-cup jar with honey. How many times could he fill his 2-fluid-ounce honey bear
from the jar? Explain.
Answer:
144
Step-by-step explanation:
Since there are 48 fluid-ounce in a cup, we can do 6 x 48
6 x 48 = 288
Now we know how much fluid ounces are in the 6 cups we can divide by the honey bear ( 2 fluid ounce ).
288/2 = 144
Six coins are tossed simultaneously what is the probability of getting exactly 4 heads
The probability of getting exactly 4 heads is 0.23.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Let p represents the probability of getting head in a toss of a fair coin, so
[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]
Let X denote the random variable representing the number of heads in 6 tosses of a coin.
The probability of getting r sixes in n tosses of a fair is given by,
Probability of getting 4 heads :
[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]
Hence, the probability of getting exactly 4 heads is 0.23.
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Tickets at a particular movie theater have different rates for adults and children. On Tuesday the theater sold 4 adult tickets and 9 child tickets for $88. The next day, the theater sold 7 adult tickets and 5 children tickets for $111. What is the price for the adult ticket and the price for the child ticket?
Answer:
Adult Ticket = $13.00, Children Ticket = $4.00
Step-by-step explanation:
13*4=52, 4*9=36, 52+36=88
13*7=91, 4*5=20, 91+20=111
on a test given in math class 60 students arrive in take out their supplies. Of those students, 23 bring pens and 36 bring pencils. Only three students a ride with me neither. How many brought both a pen and a pencil
Jameela spins the following spinner 36 times.
A spinner with 4 equal sections labeled 1 through 4.
How many times should she expect it to land on 3?
Enter your answer as a number, like this: 42
PLEASE HELP ME IM NOT GOOD AT MATH
Using the binomial distribution, it is found that she should expect it to land on 3 9 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem:
The spinner is equally as likely to land on any of the four sections, hence p = 1/4 = 0.25.There will be 36 trials, hence n = 36.Then, the expected value is given by:
E(X) = np = 36 x 0.25 = 9.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
What is the value of the expression shown?
3
(1)
(1/3)³ = 1³ / 3³ = 1/27
1/27
kgfgkjhgbkjyhgbjtg
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
less than
Step-by-step explanation:
Answer:
B) less than
Step-by-step explanation:
We can start by looking at the number infront of the fractions. We know that 2 is less than 3 which also means that 2 and 7/8 is less than 3 and 1/4.
I hope this helps!!
Please mark brainliest!
A rectangle is inscribed in a circle of radius r. What is the maximum area of the rectangle
math student55 or dino please help
1. since A^2= 36x^2, a=?
2. since b^2= 49, b=?
Answer:
a = ±6x
b = ±7
Step-by-step explanation:
1.
a² = 36x²
a = ±√(36x²)
a = ±6x
2.
b² = 49
b = ±√(49)
b = ±7
-5(2x - 3) = 15 what is this
Answer:
x = 0
Divide both sides by the numeric factor on the left side, then solve.
Answer:
x=0
Step-by-step explanation:
1. Solve
-5(2x-3)=15
-10x+15=15
-10x+15-15=15-15
-10x=0
-10x/-10=0/-10
x=0
2. Check
-5(2x0-3)=15
-5(0-3)=15
-5x-3=15
15=15
3. Answer
x=0
Jade wants to build a raised garden bed in her backyard. The garden measures 9 feet in length by 6 feet in width by 4 feet in depth. The cost to purchase soil to fill the raised garden bed is $12 per cubic yard. How much will it cost to purchase soil for Jade’s raised garden?
Answer:
$864
Step-by-step explanation:
the lent of an alligator last year was 32 inches and 38 inches this year what is the percent change of the alligator length?
Answer:
18.75
Step-by-step explanation:
HELP NO LINKS OR TROLLING
Answer:
20.28 cm²
Step-by-step explanation:
The rectangle on the bottom is 7 cm by 2 cm.
The semicircle has a diameter of 7 cm - 1 cm - 2 cm = 4 cm
diameter = 4 cm
radius = diameter/2 = 2 cm
total area = area of semicircle + area of rectangle
total area = (1/2)πr² + LW
total area = (1/2)(3.14)(2 cm)(2 cm) + 7 cm × 2 cm
total area = 20.28 cm²
Area of rectangle
2(7)14cm²Area of semicircle
π(7-3/2)²/2(4/2)²π/24π/212.56cm²/26.28cm²Total area
6.28+1420.28cm²Help help help help help help help help I just need the answer for 13, 15, 16
Answer:
13) Squares, Rectangles. 14) Rhombus, Square.
15) Parallelogram, rectangle, rhombus, square
Step-by-step explanation:
Combine the like terms to create an equivalent expression -3k-(-8)+2}−3k−(−8)+2
Answer:
Step-by-step explanation:
Here 8 and 10 are the like terms (both are constants)
-3k -(-8) + 2 = -3k + 8 +2
= -3k + 10
Can anyone solve this correctly?
Answer:
30 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the rectangle and the area of the triangle.
The area of the rectangle is ...
A = LW = (12 cm)(4 cm) = 48 cm²
The area of the triangle is ...
A = 1/2bh = 1/2(9 cm)(4 cm) = 18 cm²
__
The shaded area is the difference ...
rectangle area - triangle area = 48 cm² -18 cm² = 30 cm²
The area of the shaded region is 30 square centimeters.
Answer:
ANSWER30cm²Step-by-step explanation:
A(rectangle) - A(triangle)
L×W - ½×B×H
12×4 - ½×(9)×(4)
48 - 2×(9)
48 - 18
= 30cm²
PLSS HELPP IMPORTANT
(WILL GIVE BRAINLIEST)!
Answer:
c. It is a reflection around the x-axis and a reflection around the y-axis
Step-by-step explanation:
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o his
entire purchase at checkout, so the tickets would cost him $215 before tax,What was the original
price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
What is the
Height?
Please, asap. If two people answer, I will give one of you a brainlest and ask I will ask another question afterward.
Answer:
the answer is the number 23
Which of the following graphs has a zero at (-5)?
WILL GIVE BRAINLIEST
pls if you can pls include step by step explanation
Answer:
The 4th one. Math class grade decreases if the number of days absence increases.
Step-by-step explanation:
With more days absent, lower math grade is shown.
I need help finding the area of a triangle!
Here is a picture i have to find the area of triangle ABC
Answer: B
Step-by-step explanation:
Which function has the given properties below? the domain is the set of all real numbers. one x-intercept is (startfraction pi over 2 endfraction, 0 endfraction). the maximum value is 3. the y-intercept is (0, –3). y = –3sin(x) y = –3cos(x) y = 3sin(x) y = 3cos(x)
The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
What is a function?
A function is a rule that relates two variables.
Let us check the x-intercept, y-intercept, and maximum value for each function.
1)y =-3Sin(x)
for x-intercept put y=0
0 = -3Sin(x)
Sin(x) =0
x=0
for y-intercept put x=0
y=-3Sin0
y=0
The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3
Similarly, for y = -3cos(x)
x-intercept =π/2
y-intercept = 3
Maximum value of function = lower limit of the range of 3cos(x) i.e. 3
Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
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Answer:
B. y = –3cos(x)
Step-by-step explanation:
Im extremely sure, have a great day
PLEASE HELP ASAP
Zeke has spent $3.75 on gel pens in the past, and now he plans to buy some new ones. The
new gel pens cost $1.25 each. If Zeke buys 6 new gel pens, how much will he have spent on
gel pens in total?
Answer:
11.25
Step-by-step explanation:
Base on the given we can conclude that:
3.75 + 6 × 1.25
Now solve the following:
3.75 + 6 × 1.25
3.75 + 7.50
=11.25
~lenvy~
Answer:11.25
Step-by-step explanation:
$3.36 for 16 ounces
$3.60 for 20 ounces
$4.08 for 24 ounces
$5.44 for 32 ounces
Answer:
.1825 per ounce
Step-by-step explanation:
find the per ounce for each equation, then find the average per ounces from the 4 equations