Answer:
x=2
Step-by-step explanation:
3x+2=8
subtract 2 from both sides
3x=6
divide both sides by 3
x=2
3(2)+2=8
6+2=8
8=8
M.2 Triangles and bisectors
What is JK?
Answer: 8
Step-by-step explanation:
What is the equation of the line that passes through the point -4, —8) and has a
slope of 4?
Answer:
y = 4x + 8
Step-by-step explanation:
A linear formula always follows by y = mx + c, where m is the gradient and c is the y-intercept or constant.
Since you know that the slope is 4, all you need to do is find the y-intercept (constant)
y = 4x + c
Sub in the points (-4, -8)
-8 = 4(-4) + c
-8 + 16 = c
c = 8
Hence, y = 4x + 8
Justin buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of
the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many fluid ounces of juice did Justin buy?
Answer:
d
Step-by-step explanation:
he bought 12.5
A car has an initial velocity of 10 m/s and final velocity of 43 m/s. The time taken
to reach the final velocity was 3 seconds. What is the acceleration of the car?
Hint: Acceleration (in terms of velocity) = (final velocity - initial velocity)/(time) *
Answer:
160 m/s
Step-by-step explanation:
vi= 10m/s
a= 5om/s*2
t=3 second
vf=?
frist step: find s(distance)
s=vit+1/2 at*2=10m/s x3s +0.5 x50m/s*2 (3s)*2 =30m+225m=255m
second : find vf
s=(vf+vi)/2 xt
vf=2s/t- vi=2(255m)/3s -10 m/s=170 m/s-10m/s=160m/s
Therefore , the final velocity of the car is 160m/s
Maya has 120 caramel apples to sell. Each caramel is covered with one topping. 1/5 of the caramel apple are covered with peanuts 1/3 are covered with chocolate chips 3/10 are covered with coconut The rest with sprinkles How many caramel apples are covered with sprinkles
Answer:
20 caramel apples are covered with sprinkles
Step-by-step explanation:
Let the fraction representing total number of apples = 120 = 1
We are told in the question:
1/5 of the caramel apple are covered with peanuts 1/3 are covered with chocolate chips 3/10 are covered with coconut The rest with sprinkles
Hence:
1 = 1/5 + 1/3 + 3/10 + Sprinkles
Sprinkles = 1 - (1/5 + 1/3 + 3/10)
LCM = 30
1 - (6 + 10 +9/30)
1 - 25/30
1 - 5/6
Fraction of caramel apples covered sprinkles = 1/6
The number caramel apples covered with sprinkles = 1/6 of 120 caramel apples
= 1/6 × 120
= 20 caramel apples are covered with sprinkles
Please solve this question.
Answer: see proof below
Step-by-step explanation:
Use the Product to Sum Identity: cos A · cos B = [cos (A - B) + cos (A + B)]/2
Use the Odd Function Identity: cos (-A) = - cos (A)
Proof LHS → RHS:
[tex]\text{LHS:}\qquad \qquad 2\cos \bigg(\dfrac{11\pi}{16}\bigg)\cdot \cos \bigg(\dfrac{\pi}{16}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]
[tex]\text{Prod to Sum:}\quad \dfrac{2\bigg[\cos \bigg(\frac{(11\pi -\pi)}{16}\bigg)+\cos \bigg(\frac{(11\pi+\pi}{16}\bigg)\bigg]}{2}+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]
[tex]=\cos \bigg(\dfrac{10\pi}{16}\bigg)+\cos \bigg(\dfrac{12\pi}{16}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]
[tex]=\cos \bigg(\dfrac{5\pi}{8}\bigg)+\cos \bigg(\dfrac{3\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]
[tex]=\cos \bigg(\dfrac{-3\pi}{8}\bigg)+\cos \bigg(\dfrac{-\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]
[tex]\text{Odd Functions:}\quad -\cos \bigg(\dfrac{3\pi}{8}\bigg)-\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{\pi}{4}\bigg)+\cos \bigg(\dfrac{3\pi}{8}\bigg)[/tex]
= 0
LHS = RHS [tex]\checkmark[/tex]
A sprinter ran a race in 11 seconds. What is the domain of this graph?
Answer:
The answer is B.
Step-by-step explanation:
All the integers are positive.
What is 250 percent of 14
Answer:
35
Step-by-step explanation:
Cars wheel are 28 inches in diameter. How far will the car travel if it’s wheels revolve 10,000 times without slipping?
Answer:
879,200
Step-by-step explanation:
to get the answer we first must get the circumference of the wheel then we must multiply it by 10,000. 28 times 3.14(pie) is equal to 87.92. 87.92 times 10,000 is 879,200.
Note: I rounded pie.
need help with thisss
iAnswer:
Step-by-step explanation:
I can’t tell you the answer because then it will be cheating but this will help
First add all sides then u will get an equation solve it
HELP ASAP
Very urgent! 15 points to anyone who answers!!
Answer:
it's the first one your correct
Find the values of x:
I don’t understand how to do this please help
Answer:
x = 8
Step-by-step explanation:
11x - 34 and 7x - 2 are vertical angles and congruent, thus
11x - 34 = 7x - 2 ( subtract 7x from both sides )
4x - 34 = - 2 ( add 34 to both sides )
4x = 32 ( divide both sides by 4 )
x = 8
-----------------------
11x - 34 = 11(8) - 34 = 88 - 34 = 54
18y and 11x - 34 are adjacent angles and supplementary , thus
18y + 54 = 180 ( subtract 54 from both sides )
18y = 126 ( divide both sides by 18 )
y = 7
Simon is doing an obstacle course in gym class. First, he runs 500 meters and jumps over a hurdle. Then, he crawls through a 20-meter tunnel. Finally, he dribbles a soccer ball 100 meters to the finish line. How many kilometers long is the obstacle course?
Solve (x 9)2 = 25. apply the square root property of equality: isolate the variable. startroot (x 9) squared endroot = plus or minus startroot 25 endroot if x 9 = 5, then x = . if x 9 = –5, then x = .
When a positive sign is considered then the value of x is -4 and when a negative sign is considered then the value of x is -14.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
The equatiuon is (x + 9)² = 25.
Take square root on both sides, then we have
(x + 9) = ±5
For positive signs, we have
x + 9 = 5
x = -4
For negative signs, we have
x + 9 = -5
x = -14
More about the simplification link is given below.
https://brainly.com/question/12616840
Answer:
1. -4
2. -14
Step-by-step explanation:
Edg 2022
The zeros of a polynomial are 3/2 and 2/5. Find the polynomial.
___x²− ___x+6
Let the zeros of a polynomial be α and β.
Here,
α:- 3/2β:- 2/5Therefore to find the equation of polynomial we have to do sum of zeros of the polynomial and the product of zeros of the polynomial.
Sum of the zeros of polynomial are :-
[tex] \sf \alpha + \beta = \frac{3}{2} + \frac{2}{5} \\ \\ : \rightarrow \: \frac{15 + 4}{10} = \frac{19}{10} [/tex]
Product of the zeros of polynomial are:-
[tex] \sf \: \alpha \beta = \frac{3}{2} \times \frac{2}{5} \\ \\ : \rightarrow \cancel\frac{6}{10} = \frac{3}{5} [/tex]
We know,
p(x) = x² - (α +β)x + αβ
putting values we get
p(x) = x² - 19/10x + 3/5
Hence, This is the required polynomial.
If (7^2)P = 7^6, what is the value of p? I will mark brainliest
2
3
4
8
Answer:
3
Step-by-step explanation:
7/6b + 11/4b = 235/72
Answer: b = 6/5
..........................
A triangle has sides with lengths of 11 inches, 18 inches, and 20 inches. Is it a right triangle?
yes IF
20² = 11² + 18²
20² = 400
and
11² + 18² = 121 + 324 = 445
so NOT a right triangle
Make a table for the equation.
The first row is an example.
Answer:
Substitute the given values of x into the given equation to find the values of y:
when x = -8
[tex]y=\dfrac54(-8)+1=-9[/tex]
Point = (-8, -9)
when x = -4
[tex]y=\dfrac54(-4)+1=-4[/tex]
Point = (-4, -4)
when x = 0
[tex]y=\dfrac54(0)+1=1[/tex]
Point = (0, 1)
when x = 4
[tex]y=\dfrac54(4)+1=6[/tex]
Point = (4, 6)
when x = 8
[tex]y=\dfrac54(8)+1=11[/tex]
Point = (8, 11)
Multiply 9.70×38.5 you can use the estimate to place the decimal in a product
373.45 is the answer.
what is the slope of the line?
Try this one out with me let’s if we get the same answer
Answer:
x = 80°
Step-by-step explanation:
x + 36° + 76° + 74° + 94° = 360°
x + 280° = 360°
x = 360° - 280°
x = 80°
Why can you use a random sample
to make an inference?
Answer:
Random samples are more likely to contain data that can be used to make predictions about a whole population. The size of a sample influences the strength of the inference about the population.
Step-by-step explanation:
Please help in these i need them
Answer:
9 and 3 are the second pair because 9×3=27 and9×9=81
what is the length of bc?
Answer:
x = 3
Step-by-step explanation:
not sure what the term is, but AB is equal to BC because AD = DC
using this, you can make the following equation:
5x - 2 = 7x - 8
subtract 5x from both sides
-2 = 7x - 5x - 8
-2 = 2x - 8
add 8 to both sides
-2 + 8 = 2x
6 = 2x
divide both sides by 2
3 = x
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
do u mean the point A?
if so point A coordinates are (-5:-8)
-2x <4
X < -2
X < 2
X > -2
X > 2
Step-by-step explanation:
Simplify x in the inequality.
Divide both -2x and 4 by -2:
[tex]\frac{-2x}{-2} < \frac{4}{-2}[/tex]
Answer:
[tex]x > -2[/tex]
The sign has switched since the terms have been divided by a negative number.
Answer:
C. x>-2Step-by-step explanation:
The solution is to isolate the term x from one side of the equation.
-2x<4First, multiply by -1 from both sides.
(-2x)(-1)>(4)(-1)
Solve.
2x>-4
Then, divide by 2 from both sides.
2x/2>-4/2
Solve.
-4/2=-2
x>-2
Therefore, the correct answer is x>-2.
I hope this helps you! Let me know if my answer is wrong or not.
Paul sat a 2 1/2 hour exam. He finished 13/15 of the way through the exam Calculate the amount of time he had spare at the end, in minutes
Answer:
20 min
Step-by-step explanation:
Ahmad runs 7 miles in 80 minutes. At the same rate, how many miles would he run in 64 minutes?
Urgent help!!
1. Donna bakes biscuits on a rectangle cookie sheet that is 30cm by 50cm. Each biscuit has a diameter of 8cm
A. What is the maximum number of biscuits Donna can bake at once on a cookie sheet?
B. If Donna bakes the maximum number of biscuits, what area do the biscuits take up on the cookie sheet?
Answer:
18
Step-by-step explanation:
we know that
[the area rectangular cookie sheet]=30*50--------> 1500 cm²
let's assume that each biscuit is inscribed in a square of 8 cm side
in the side of 30 cm can be placed -----> 30/8--------> 3.75-----> 3
in the side of 50 cm can be placed -----> 50/8--------> 6.25-----> 6
The maximum number of complete biscuits is 3*6------> 18 biscuits
the answer is 18 biscuit
Answer:
We know that
[the area rectangular cookie sheet]=30*50--------> 1500 cm²
let's assume that each biscuit is inscribed in a square of 8 cm side
in the side of 30 cm can be placed -----> 30/8--------> 3.75-----> 3
in the side of 50 cm can be placed -----> 50/8--------> 6.25-----> 6
The maximum number of complete biscuits is 3*6------> 18 biscuits
the answer is 18 biscuits
Step-by-step explanation: some other guy said it