Step-by-step explanation:
16x+16x+13x= 180
45x= 180
x= 4
16x= 64°
16x = 64°
13x= 52°
Zachary is solving the following equation.
Three-fourths (x minus 8) = 12
Which is the best first step to begin to simplify the equation?
Multiply both sides of the equation by Three-fourths.
Divide both sides of the equation by Four-thirds.
Distribute Three-fourths over (x – 8).
Distribute Four-thirds over (x – 8).
Answer: C. Distribute 3/4 over (x-8)
Step-by-step explanation:
To solve any(technically most, but still...) algebraic equation you must isolate the variable. In this case, the first step would either be to divide both sides of the equation by 3/4, or distribute 3/4 to x and -8, as you cannot modify the contents of the parenthesis without removing the 3/4.
Hope it helps and lmk if you further explanation <3 :)
Answer:
c
Step-by-step explanation:
on edge
write the ratio for tan a!!!!!
Answer:
11/60
Step-by-step explanation:
BC/AC = 11/60
Hank's car travels 600 feet in 20 seconds. Andy's motorcycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle? Explain your reasoning.
Answer:
the car travels faster
Step-by-step explanation:
Since the motorcycle has traveled 300 feet, and the car has traveled 600 feet, we will divide 600 by 2
600 divided by 2 = 300
Hank would have traveled 300 feet in 10 seconds
Andy traveled 300 feet at 12 seconds
Therefore Hanks car travels faster
Answer:
The car travels faster
Step-by-step explanation:
600 ft per 20 secs
How many feet in one sec?
600/20 = 30
Hank's car = 30 feet per second
300 feet in 12 sec
How many feet in one sec?
300/12 = 25
Andy's motorcycle = 25 feet per second
If I simplify this what would I get and how would I do it?
Answer:
x^3y^3z^3
Step-by-step explanation:
when dividing exponents of the same base you subtract
5h – 4 > 6 and 7h + 11 < 32
Answer:
iihi
Step-by-step explanation:
Answer:
h > 2
-------------------------
h < 3
Step-by-step explanation:
5h – 4 > 6
add 4 both sides
5h > 10
divide 5 both sides
h > 2
-------------------------
7h + 11 < 32
subtract 11 both sides
7h < 21
divide 7 both sides
h < 3
Can someone help? Ill do brainliest, Im trying to get my grades up- <33
Answer: The length of the hypotenuse (c) is 5
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
a & b are the legs (b is the base)
c = hypotenuse
a = 4
b = 3
a² + b² = c²
4² + 3² = c²
16 + 9 = c²
25 = c²
√c² = √25
c = 5
(ONLY TWO CAPITAL LETTERS FOR EACH)WHAT IS THE ANSWER CORRECTLY !!!!!! WILL MARK BRIANLIEST !!!!!! URGENT
Answer:
LH is perpendicular to HI
or
HI is perpendicular to LH.
You know they are perpendicular because there is a square symbol on angle H.
LH is perpendicular to HI
What is known as perpendicular lines?When a straight line making right angle with an another line is known as perpendicular line. Both lines perpendicular to each other.Two or more lines meet a point at right angles (90°) is called perpendicular lines.For example, steps of straight ladder, the opposite sides of a square and rectangle, Set squares, Railway track crossing, Opposite sides of whiteboard,etc.Here LHK is a triangle.
At H, angle is right angle. So the LH is perpendicular to the line HI.
Hence, LH is perpendicular to HI
Learn more about perpendicular lines here:
https://brainly.com/question/1202004
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PLEASE HELP THIS IS ALMOST DUE!! IF ANYONE KNOWS IT PLEASE TELL ME THANK YOU!
-9 – 3.
The positive GCF of -9y and -3 is 3.
3x
= -9y
3X
3
The factored expression is?
Answer:
3 x -3y = -9y
3 x -1 = -3
The factored expression is 3(-3y - 1)
Step-by-step explanation:
All you have to do is -9y / 3 = -3y and -3 / 3 = -1, then put those numbers in parentheses. All of that is multiplied by 3.
The reason is because if you distributed the 3 it would become:
3 * -3y + 3 * -1 = -9y - 3
Which is a graph of y=-1/2x - 2?
Is this number prime or composite
Answer:
no
Step-by-step explanation:
its composite
Answer:
Composite
Step-by-step explanation:
70 is a composite number as it has factors other than 1 and itself.
A bakery sells mocha cupcakes and vanilla cupcakes. It sold 391 mocha cupcakes in a day. 15% of the cupcakes sold that day were vanilla. How many total cupcakes did the bakery sell that day?
Given :
A bakery sells mocha cupcakes and vanilla cupcakes.
It sold 391 mocha cupcakes in a day.
15% of the cupcakes sold that day were vanilla.
To Find :
How many total cupcakes did the bakery sell that day.
Solution :
Let, total number of cupcakes bakery sell that day is x.
So, x - 0.15x = 391
0.85x = 391
x = 460
Therefore, total number of cupcakes bakery sell that day is 460 .
Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. What are all the possible numbers can this rabbit be now?
It should be noted that since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.
What is a number line?A number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values. From the previous problem, the total distance covered by the rabbit is given by:
Total distance = 4 units + 2 units + 1 unit
Total distance = 7 units.
Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:
Total distance = 10 units + 7 units
Total distance = 17 units.
Learn more about number on:
https://brainly.com/question/30567031
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A rectangular pool at Andy's gym measures 25 meters by 50 meters. How many meters would Andy swim in order to swim diagonally across the pool?
Answer:
625 meters
Step-by-step explanation:
25 multiplied by 50 equals 1250 divided by 2 is 625 meters.
Find the value of x
O A.3
O B. 11
O c. 7
OD. 5
Answer:
Step-by-step explanation:
7x+13 = 48
7x = 35
x = 5
Answer:
D. 5
Step-by-step explanation:
The angle should equal 48 degrees as it is congruent to the other angle labeled as 48 degrees.
So, we get the equation 7x + 13 = 48
Subtract 13 from both sides.
7x + 13 - 13 = 7x
48 - 13 = 35
We get 7x = 35
Divide by 7 on both sides.
7x / 7 = x
35 / 7 = 5
We get x = 5.
Help sir! Thank you, Mr Thompson
Problem 1
To find the y intercept, plug in x = 0 and simplify
f(x) = (x-2)(x+4)
f(0) = (0-2)(0+4)
f(0) = (-2)*(4)
f(0) = -8
We have x = 0 pair up with y = -8
The y intercept is (0,-8)
Answer: Choice D
========================================
Problem 2
(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.
The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.
Answer: C) Parabola opens upward
========================================
Problem 3
Answers:
A = h(x)B = f(x)C = g(x)Explanation:
Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).
Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.
Find the number that makes the ratio equivalent to 72:96.
Answer:
72:96=72/12=6
So, 96/12=8
6:8
Answer:
3:4
Step-by-step explanation:
72/24:96/24 ( dividing numerator and denominator by 24)
=3:4
the perimeter of a rectangle is 30 cm. The height is 5 cm . what is the area of that rectangle.
Answer:
Pretty sure its 50
Step-by-step explanation:
if the height is 5, that would be multiplied by 2 because there are two identical sides. From the product, 10, you would need to get to 30, so you add 20. that means the other two identical sides are 10cm. 10x5 (length x width) is equal to 50.
Answer:
[tex]30 = 2 \times l + 2 \times b \\ 30 = 2 \times 5 + 2 \times b \\ 30 = 10 + 2b \\ 30 - 10 = 2b \\ 20 = 2b \\ = 20 \div 2 = 10 \\ area = l \times b \\ 5 \times 10 = 50cm {}^{2} [/tex]
An angle measures 114° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
66°
Step-by-step explanation:
x+114°=180°
x+114°-114°=180°-114°
x=66°
What is the measure of the missing angle in this triangle?
35°
60°
155°
25°
Answer:
25 is the answer.
Step-by-step explanation:
Hope this helps!!
At a holiday camp, the ratio of boys to girls is
3
:
4
and the ratio of girls to adults is
5
:
7
. What is the ratio of children to adults at the camp?
Input note: give the ratio in its simplest form.
Answer:
5:4
Step-by-step explanation:
Step-by-step explanation:
boys : girls : adults
3 : 4 :
5 : 7
15 : 20 : 28
children : adults
15 + 20 : 28
35 : 28
5 : 4
find the length of the third side of the right triangle!!!!
Answer:
8
Step-by-step explanation:
There are two ways to solve this!
1. Use the Pythagorean Theorem
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
100 - 36 = b^2
64 = b^2
8 = b
2. Shortcut using 3-4-5 triangles
A 3-4-5 triangle has to do with the ratios of each side.
In this case, it's 6-8-10, as each number is multiplied by two with the same 3-4-5 ratio. This is a good shortcut for these types of problems and will be handy on tests like the SAT as well! :)
i have 4 ounces. how many pounds do i have ?
Answer:
0.25 pounds
Step-by-step explanation: there are 16 ounces in a pound
Answer:
.25 lbs
Step-by-step explanation:
1 pound is 16 ounces
4 ounces * 1 lbs/16 ounces
4/16 lbs
.25 lbs
A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show? 3,675 190 2,100
Answer:
3,675 people
Step-by-step explanation:
First row, a = 20
Common difference, d = 5
number of terms, n = 35
Sn = n/2 {2a + (n - 1)d}
= 35/2 {2*20 + (35 - 1)5}
= 35/2 {40 + ( 34)5}
= 17.5(40 + 170)
= 17.5(210)
= 3,675 people
The answer is actually 3675.
My reasoning: Plug it in and you shall see!
pls halp my life depend on it
Answer:
first part: A. x^2+9x=36 and C. (x+9)(x)=36
second part: Width = 3 inches, Length = 12 inches
Step-by-step explanation:
"more than" implies addition, so you know you'll have 9+x in the equation you also know that you have to have the equation =36
also note (9+x is the length)
the equation for area of a rectangle is A=LW
so lets plug in what we do know
A = L W
36=(9+x)W
For the first part of the equation you're answer will be:
(x+9)(x)=36 AND x^2+9x (the reason for the second answer i listed is because when you multiple (x+9)(x) you get x^2+9x
when you solve for x it equals 3,
so the width (x) = 3 inches
and the Length (9+3) =12 inches
What is the sqrt of i 25
Answer:
5
Step-by-step explanation:
- ohcogcogdgsogxicrkrxlgx
A bag contains 25 cards bearing number 1, 2, 3 …., 25 respectively. One card is drawn at random. What is the probability that number is divisible by 3?
pls help
Answer:
8/25
Step-by-step explanation:
there are 8 numbers from 1 - 25 that are divisible by 3 because 25/3 = 8.3333..
Written out these would be:
3,6,9,12,15,18,21, and 24
so you ahve 8 out of a total of 25
Three red,ten white, five blue and two green counters are put into a bag, and one is picked at random. Calculate the probability that it is:
i) a white counter
ii) a red counter
iii) Are the outcomes equally likely?
Answer:
(i) 1/2
(ii) 3/20
Step-by-step explanation:
(i) given total number of white counters = 10
total outcomes = 20 (3+10+5+2)
so it's 10/20
by simplifying it we get 1/2
(ii) given total number of red counters = 3
so it's 3/20
<1 and 23 can best be described as -
2.
When solving an equation that uses division, such as n/8 = 7, what inverse
operation should you use to solve for n?
a) Addition
b) Subtraction
c) Multiplication
d) Division
