Answer:
Simplifying 6p + 2(4 + -2p) = 3(p + 4) 6p + (4 * 2 + -2p * 2) = 3(p + 4) 6p + (8 + -4p) = 3(p + 4) ... Move all terms containing p to the left, all other terms to the right. ... When you enter an equation into the calculator, the calculator will begin by ... Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5).
Step-by-step explanation:
Taylor plans to borrow $4500 from the bank to purchase a used vehicle if he borrows the money at the rate of 4% interest for two years what is the total amount we will have to pay back to the bank
Answer: $ 4860
Step-by-step explanation:
Formula : Amount = P (1+rt) , P = principal value , r= rate of interest , t= time
Given ; P= $4500 , r = 4% = 0.04 , t = 2years
Total amount we will have to pay back to the bank = [tex]4500(1+0.04\times 2)[/tex]
[tex]=4500(1+0.08)\\\\=4500(1.08)\\\\=\$ 4860[/tex]
Hence, the total amount we will have to pay back to the bank = $ 4860
(answer asap pls) A bank of 8 floodlights together uses 1000 watts of power. How much power is used by each bolt? explain
Find the length of side BC.
Give your answer to 3 significant figures.
С
A
71°
6.3 cm
B
Answer:
19.3 cm
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle B = 71°
Adjacent = 6.3 cm
Hypothenus = BC =?
The length BC can be obtained by using cosine ratio. This is illustrated below:
Cos B = Adjacent / Hypothenus
Cos 71 = 6.3 / BC
0.3256 = 6.3 / BC
Cross multiply
0.3256 × BC = 6.3
Divide both side by 0.3256
BC = 6.3 / 0.3256
BC = 19.3 cm
Thus, Lenght of side BC is 19.3 cm
what is the answer to this equation -12= -3y
y=4
Step-by-step explanation:
[tex]\tt{-12=-3y }[/tex] ⠀
[tex]\tt{ y=\dfrac{-12}{-3} }[/tex] ⠀
[tex]\tt{y=4 }[/tex] ⠀
The volume of a cube is 216 ft. What is the length of a side?
Answer: 6 in.
Step-by-step explanation:
Hope this helped! :)
Answer:
6 ft
Step-by-step explanation:
The cube root of 216 is 6. So 6x6x6 = 216. A cube has all equal sides resulting in the length, 6 ft.
It's fear has a radius of 4 inches in a cube shaped box has an edge length of 7.5 inches JD says the box has greater volume so the sphere will fit in the box is he correct
Answer:
JD is wrong.
Although, the volume of the cube shaped box V' = 421.88 in³ > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.
Step-by-step explanation:
The sphere would only fit into the cube shaped box if its diameter is less than the length of side of the cube L = 7.5 inches.
So, diameter of sphere d = 2r where r = radius of sphere = 4 inches. Thus, d = 2r = 2(4 in) = 8 in.
Since the diameter of the sphere d = 8 inches > length of side of the cube = 7.5 inches, the sphere would not fit into the box.
So, JD is wrong.
We calculate both the volume of the sphere and cube.
Volume of a sphere V = 4πr³/3 where r = radius of sphere = 4 inches
So, V = 4πr³/3
= 4π(4 in)³/3
= 4π(64) in³/3
= 256π in³/3
= 804.25 in³/3
= 268.1 in³
Volume of a cube V' = L³ where L = length of side of cube = 7.5 inches
So, V' = L³
= (7.5 in)³
= 421.88 in³
Although, the volume of the cube shaped box V' = 421.88 in³ > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.
help plzzz i need someone to help me with this
Answer:
I think the answer to the question is C
Answer:
A
Step-by-step explanation:
The sign means that x is smaller than 3. There is no need for the line underneath since the dot is not filled in.
(axb)xc=
the associative property of multiplication
!!! HELP ME !!!
i just need the four letter code !!!
solve each box using the answer choices on the side in the picture !
Answer:
DHGB
Step-by-step explanation:
Let's start with 1.
The equation is in standard form (ax+by=c): -4x+2y=8
we'll put it into slope intercept form.
Add 4x onto both sides
2y=4x+8
divide by 2
y=2x+4
Parallel lines have the same slope, but a different y intercept. (the line parallel to this one will have a slope of 2 but a y intercept different from +4)
Looking at the answer choices, the only choice with a slope of 2 is D (y=2x-5)
So the answer to 1 is D
Now 2.
we're given 3 points. One of the points crosses the y axis, which is the y intercept. In this case, the line crosses the point (0,3)
That means the y intercept of the line is (0,3)
here's the line so far:
y=mx+3 (m is a placeholder for the slope)
when given a graph, we can use rise/run. Starting from the point (3,2), we can move 3 spaces to the left, and one up.
In a graph, if you move to the left or downwards, it's a negative move. If you move up or to the right, it's a positive move.
Since we went 1 space up (rise) and 3 spaces to the left, (run) the slope is -1/3
So the line is y=-1/3x+3
Perpendicular lines are negative and reciprocal. If you multiply their slopes, they will equal -1. Their y intercepts don't matter at all.
So to find the slope, we can use this equation.
-1/3m=-1
multiply by -3 on both sides
m=3
Looking at the answer choices, H is the only answer with a slope of 3. So the answer to 2 is H.
Now, 3
You can do the graph method like above for 2, but I'll just calculate the slope.
We're given two points, (-1,-2) and (0,2)
the formula for slope is (y2-y1)/(x2-x1)
we can label the points.
x1=-1
y1=-2
x2=0
y2=2
now, substitute into the equation.
m=(2--2)/(0--1)
m=4/1
the slope is 4.
Now let's use point slope form, which is y-y1=m(x-x1)
once again, sub. into the equation.
y+2=4(x+1)
do distributive prop
y+2=4x+4
subtract by 2
y=4x+2
As said above, parallel lines have the same slope.
Looking at the answer options, G also has the slope of 4
so the answer to 3 is G
Finally, #4
Equation: 3x+y=1
subtract 3x from both sides
y=-3x+1
As said above, perpendicular lines have slopes that multiply to equal -1.
-3m=-1
multiply by -1/3
m=1/3
so the slope of the line will be 1/3.
Looking at the answer options, B also has a slope of 1/3.
So the answer to 4 is B
The code is DHGB
Hope this helps!
Based on the table, what is the unit rate for one gallon of gasoline?
Gasoline
Number of gallons
Price
2
$6.60
3
$9.90
4
$13.20
$3.30
$4.60
$5.60
$6.50
Answer: 3:30 per gallon
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Add and write your answer in scientific notation
3.2x 10^8 +4.6 x 10^8
What does the roller coaster gain as it goes down the hill?
A. Potential energy
B. kinetic energy
help plss
Answer:
kinetic
Step-by-step explanation:
it is using the energy
Answer: B. kinetic energy
Step-by-step explanation: i think this because kinetic energy is the spped of something for example a ball rolling down a hill is kinetic energy
What is the solution to the inequality?
12 < 8 + x
A. X> 4
B. x < 20
C. x<4
D. x>20
Answer:
[tex]12 < 8 + x \\ 12 - 8 < x \\ 4 < x \\ \boxed{ x > 4}✓[/tex]
A. x>4 is the right answer.Jason has 120 pieces of art. He puts 5% of them in an art show. How many pieces of art dose Jason put in the art show?
Answer:
6 pieces
Step-by-step explanation:
Total pieces of art = 120
He puts 5% of them in an art show
How many pieces of art dose Jason put in the art show ?
pieces of art dose Jason put in the art show = 5% of 120
= 5/100 × 120
= 0.05 × 120
= 6
Therefore, Jason put 6 pieces of art dose in the art show
Help please! Ty! Ratios
Answer:
Ratios to roses to lilies....6:9
Reduced.....2:3
Step-by-step explanation:
Pretty simple doesn't need explaining
Find the prime factorization of the number.
22
The prime factorization
Answer:
Step-by-step explanation:
22 into 2 and 11
2 is already prime and 11 is already prime
Identify the slope and y intercept of the following equation: y = -1/2x - 3
Answer:
Slope: -1/2
Y-Intercept: (0,-3)
Step-by-step explanation:
y=mx + b
m is the slope, b is the y-intercept
What is the slope of the line?
Answer:
1over1 because it goes up by 1 and right by 1. u welcome
The average honey bee can travel 10.5 feet per second. How many feet can the honeybee travel in 3.7 seconds?
Answer:
The honey bee would go 38.85 feet if it was traveling at 10.5 feet per second for 3.7 seconds
Step-by-step explanation:
Take the speed the bee is flying (10.5) and times it by the time (3.7) and you get 38.85 which is the answer. 38.85 feet
-5 1/2+ 6 3/4+ (-4 1/4) =
Elena starts her new job working at an office supply store. She works for 6 hours and makes a total of $54.
Which equation is set up correctly to determine how much Elena makes per hour (h)?
6h = 54
6, h , = 54
54h = 6
54, h , = 6
h + 6 = 54
h , + 6 = 54
54 – h = 6
PLEASE HURRY
Answer:
I believe the answer would be A.
Step-by-step explanation:
A says 6 x h is 54.
^ ^ ^
important!
6 is the number of hours.
h is how much money made per hour.
54 is the total after working 6 hours.
find p if 45 :72=72 40:p
12. Which of the following is a quadratic equation?
(1) x2 + 6 = 0
(2) 28-10 = 15
(3) 2r-32 = 2
(4) r+2 =10
In a high school, 28% of the students are freshmen 26% are sophomores 22% are juniors and 24% are seniors then enrollment in the school is 1600 students how many freshmen’s are there than juniors
Answer:
96
Step-by-step explanation:
First we can express in numbers how many students are freshman :
(28:100)=0.28 (percent into integer)
Then we multiply this number with 1600
1600*0.28=448 (this is the number of freshman)
Now we do it again with the number of juniors
(22:100)=0.22
1600*0.22= 352
Now we only subtraction these two numbers
448-352= 96
So we now know that there is 96 more freshmens than juniors
which number is an irrational number
A. Square root of 7
B. Square root of 4
C. 0
D. -5
I need help ASAP I will put answer on Brainliest
Answer:
A choice.
Step-by-step explanation:
Irrational number is a number that cannot be written in a fraction form. All square roots are classified as an Irrational number unless can be evaluated to Rational number.
From A choice, you cannot evaluate the square root of 7 into any rational number. Therefore, it is an Irrational number.
B choice, even though there is a square root, but you can still evaluate from square root of 4 to 2.
For C and D, both are integers. Integers are classified to be Rational Number. Therefore, C and D both are rational.
Find the slope of the line that goes through the two points.
(6,7) (-2,11)
Answer:
-1/2
Step-by-step explanation:
The equation for slope is (y2-y1)/(x2-x1).
Plug in the values given in the problem
(11-7)/((-2)-6)
Then simplify
4/(-8)=-1/2
what is 6+89-34X12 CASLAN
Answer:
hjyuojhgfdsa
Step-by-step explanation:
Answer:
the answer is 313
Step-by-step explanation:
5 A line passes through the point (4, 1) and has a slope of - Write an equation in slope-intercept form for this line.
Answer:
_______Y=0.75X-2_______
HELPPppp!!! uhhhhhhhh......
Given:
The triangle PQR on a coordinate plane.
To find:
The image of point Q after a rotation of 90° counterclockwise about the origin.
Solution:
From the given graph, it is clear that the coordinates of point Q are (5,0).
If the figure is rotated 90° counterclockwise about the origin, then the rule of rotation is defined as
[tex](x,y)\to (-y,x)[/tex]
Using this rule, we get
[tex]Q(5,0)\to Q'(-(0),5)[/tex]
[tex]Q(5,0)\to Q'(0,5)[/tex]
So, the image of point Q is (0,5).
Therefore, the correct option is (a).
Evaluate the expression if x is , y is -4, and z is -0.2. x+y
Answer:
-8/5
Step-by-step explanation: