Answer:
[tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
Notice that the equation y = 5x - 16 is in slope-intercept form, or [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the number in place of the [tex]m[/tex], or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.
Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it [tex]\frac{5}{1}[/tex]. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is [tex]-\frac{1}{5}[/tex], so [tex]-\frac{1}{5}[/tex] is the perpendicular slope.
Use the GCF to factor:
16h + 24m
Answer:
8(2h +3m)
Step-by-step explanation:
Greatest common factor is 8
8(2h +3m)
Which items are discounted less than 15%? Select all that apply.
A) $199.99 smartphone on sale for $167.99
B) $28,100 car on sale for $25,750
C) $58 jeans on sale for $50
D) $1.99 song download on sale for $1.75
E) $129 pair of shoes on sale for $105
I WILL MARK BRAINLIST
Answer:
b
Step-by-step explanation:
3) The population of a type of bacteria, starts with 100, and grows at a rate of 300% every
day.
a) Write a formula that models this situation.
b) How many bacteria will there be in a week?
c) How many will there be in a month?
Pls help show work
Consider the rectangular prism.
8 cm
14 cm
6 cm
How many cubes with side lengths of a cm can fit inside the rectangular prism?
0672 cubes
1, 344 cubes
2,688 cubes
0 5,376 cubes
Answer:
672 cubes because 8×6×14 equals 672 I hope it helps
At the grocery store, 4 pints of ice cream cost $7.32. How much would 20 pints of ice cream cost?
Answer:
$36.6 for 20 pints of ice cream
Step-by-step explanation:
4 pints = $7.32.
20 pints = ?
you need to cross multiply or you can just multiply $7.32. with 5.
There are 8 red, 4 green and 12 yellow balls in a box. If you choose one ball from the box, what is the probability that it will be a yellow ball?
Answer:
50% percent chance the ball will be yellow
Step-by-step explanation:
Find the amount of all the balls-24 and the amount of yellow balls-12
Then divide the number of yellow balls by the number of total balls.
12÷24=0.5
0.5=50%
What is the volume of a sphere with a radius of 6.1 m, rounded to the nearest tenth of a cubic meter?
Answer:
V≈950.78m³
Step-by-step explanation:
What is the same as 7/3
Answer:
3.5/1.5 or 14/6
Step-by-step explanation:
equivalent
Mena is making a hamster house she cuts a hole for a window that has side length of 6 inches and 3 inches
Answer:
Perimeter: 18 Area: 18
Step-by-step explanation:
6 + 6 + 3 + 3 = 18
6 x 3 = 18
Help me pls asp I will give 100 points
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^{2} h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^{2} h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16cm^3[/tex]
evaluate this expression for a=3
Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?
0 0 120
12 12 6 0
(4,4)
(0, 2)
To 12 12 67
0 12 12 6
(0,0)
(40)
To 12 12 0
0 0 12 6
DONE
the awnser is C I just got it right
PLEASE I NEED HELP WITH THIS ASAP..
Answer:
first question is:10.5 and question 2 is:20
Step-by-step explanation:
Hope this helps!
Find the value of x. The figures are not drawn to scale. Pis the center of the circle.
Answer:
6.7 feet i think...
Step-by-step explanation:
the middle line is 12 feet and the dot is about in the middle of the line
Answer:
6.7
Step-by-step explanation:
if you look very closely you can see the other explanation above mine
You're Welcome!
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equalArea of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?
Answer:
1/20
Step-by-step explanation:
Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?
Let the total number of muffins = 1
Hence:
The fraction of muffins Juan ate =
1 - (1/2 + 1/4 + 1/5)
Lowest common denominator is 20
1 - ( 10 + 5 + 4/20)
1 - 19/20
= 1/20
The Fraction of muffins Juan ate is 1/20
An aquarium has 14 angel fish, 12 clownfish and
18 seahorses. What is the ratio of angelfish to
seahorses?
Answer:
Ratio= 7:9
Step-by-step explanation:
What is the ratio of angelfish to seahorses?
14 angel fish : 18 seahorses
14:18 = 7:9
pls pls pls help with all these three asap! NO WRONG ANSWERS PLS!
Answer:
In 2014, the population is of the United States was about 318,900,000 people. Choose the best approximation of the United States Population in 2014.
people
people
Answer:
people
Step-by-step explanation:
Given
US Population in 2014: About 318,900,000
Required
Approximate
From the given options, it's seen that the population of US is to be approximated to one significant digit and the result should be presented in standard form
So, the first step is to write out the population
318,900,000
As a general rule,
Category 1: Digit 0-4 are approximated to 0
Category 2: Digit 5-9 are approximated to 1
Since, we are approximating to one significant digit, only the first digit is needed, others are to be approximated.
The first digit is 3, meaning that approximation starts from the next digit which is 1
Approximating 318,900,000 will give 300,000,000 because "1" falls in category 1 as illustrated above.
The final step is to convert 300,000,000 to standard form.
There are 8 0s after 3.
Hence,
Conclusively, the approximation of 318,900,000 is people
Step-by-step explanation:
There are _______ kilometers in 5,000 centimeters.
Use the distributive property to expand (simplify): 13(9 + g)
13g+117
Step-by-step explanation:
just distribute the 13 to each value in the parentheses
One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?
F.
A box of 32 shirts will have 12 defective shirts.
G.
A box of 40 shirts will have 10 defective shirts.
H.
A box of 48 shirts will have 3 defective shirts.
J.
A box of 64 shirts will have 8 defective shirts.
Answer:
the answer is H.
Step-by-step explanation:
Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 18,000$ per year. Choose the correct answer below. A. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 5$ a day. B. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 5$ a day. C. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 49$ a day. D. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 49 $ a day.
Answer:
This statement makes sense because this would mean that a slice of pizza and a soda costs him about $49 a day
Step-by-step explanation:
Given
The total spent on a slice of pizza and a soda is:
[tex]Cost > \$18000[/tex] per year
Required
Which of the options is true:
First, we calculate the daily amount spent on a slice of pizza and a soda.
Assume that the yearly cost is: $18000
The daily cost is:
[tex]Daily = \frac{\$18000}{365}[/tex]
[tex]Daily = \$49.32[/tex]
This means that he spends about $49 daily
If the sum of the squares of the legs of a right triangle are = to 144, the hypotenuse is...
Answer: 12
Step-by-step explanation:
H^2=144
Square root of 144
H=12
Find the distance to the nearest hundredth between the points A (1,-4) and B
(9,5).
The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many radians does it move during this time?
Answer:
a. 120 degrees
b. 2.0944 radians
Step-by-step explanation:
From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math
20 / 5min = 4 times
4 * 30 degrees = 120 degrees
We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula
degrees * [tex]\pi /180[/tex] = radians
120 * [tex]\pi / 180[/tex] = radians
2.0944 = radians
A frying pan has a radius of 14 cm. What is the circumference of the pan?
Answer:
119.381cm
Step-by-step explanation:
C=2πr
2π * 14cm = 38πcm or 119.381cm
If f (x ) = 3x , what is f (-2) and f (2)?
Answer:
b. -6 and 6
Step-by-step explanation:
Answer:
B. -6 and 6.
Step-by-step explanation:
It's shown that -2 and 2 are the inputs on this particular equation. That means they are the x values they want you to find the corresponding y value for. So, you can solve these by just plugging in the numbers. So, replace x in the original equation with -2 and 2 and then evaluate. [tex]f(x)=3 *-2=-6[/tex] and [tex]f(x) = 3*2=6[/tex]. Good luck!
Gabriella bought 50 lbs of clay for her art projects. She used 18.2 lbs to make a sculpture, and 0.76 lbs for each mug. How many mugs did Gabriella make if she had 18.88 lbs of clay left over?
Answer:
24 mugs
Step-by-step explanation: 18.88/0.76 = ≈24
Answer:
24 mugs
Step-by-step explanation:
Disregard unimportant information
Set up an equation
Variable x = number of mugs
18.88 = 0.76x
Divide both sides by 0.76 to isolate variable x
24.842...
There's no such thing as a fraction or decimal of a mug so round down to the nearest whole number
24
Can someone please help me?
9514 1404 393
Answer:
see below for a graphone possible solution: (12, 5)Step-by-step explanation:
I like a graphing calculator for creating graphs. Here, each inequality is in "slope-intercept" form, so the y-intercepts are easily located (+8 and -4).
The slope (x-coefficient) is the "rise" divided by the "run". The boundary line of the first inequality has a rise of -1 for each run of 3 to the right. The second rises 5 units for each 3 to the right. Starting from the y-intercept, additional points to plot are easily found.
Of course, the boundary line is solid for y ≥ ( ), and is dashed for y < ( ). The shading will be above the line (for higher y-values) for the first inequality, and below the line (for lower y-values) for the second inequality. That puts the double-shaded solution area in the right-side quadrant of the X where the lines cross.
There are an infinite number of solution points to choose from. One of them is (12, 5). Points with an x-value that is a multiple of 3 will be easiest to substitute into the inequalities to check.
5 ≥ (-1/3)(12) +8 ⇒ 5 ≥ 4 . . . true
5 < (5/3)(12) -4 ⇒ 5 < 16 . . . true
4(x + 8), x = 10
5(15p - 2), p = 3
(solve for both)
Answer:
1. 4(10+8) 40+32=72
2. 5(15*3-2) 5(45-2) 225-10=215
Step-by-step explanation: