Answer:
x = 12
Step-by-step explanation:
Here we go!
What we know:
So 7x and 8x are part of a same side interior angle. meaning, they add up to 180°!
[tex]8x + 7x = 180[/tex]
Combine like terms
[tex]15x = 180[/tex]
Divide 15 from both sides
[tex]x = 12[/tex]
Let's check our work:
plug in x
7(12) + 8(12) = 180
multiply
84 + 96 = 180
add
180 = 180
Solve for X
X/2≥−4
A. x≥−8
B.x≤−2
C.x≤−8
D.x≥−2
What has been the best method for you to learn mathematics?
Answer: Here are some steps that help you learn and master math quickly:
Engage With the Subject.
Start From the Basics.
Develop Number Sense Rather Than Memorizing.
Have a Goal in Mind.
Answering Practice Questions Is Crucial.
Keep Track of Math Vocabulary.
Tricks and Tips to Learn Math Easily.
Master Problem Solving.
Step-by-step explanation:
Which statement is true about the following expression?
(2 – 7)(y + 15)
O A.
The expression has 3 factors.
B.
The expression contains no factors.
С.
The expression has 1 factor.
D.
The expression has 5 factors.
Answer:
the expression has three factors
Step-by-step explanation:
(2-7y)(y+15)
2y+30-7y-105
-5y+30-105
The expression (2 – 7)(y + 15) has 1 factor.
FactorWhat is a factor?A number or algebraic expression that evenly divides another number or expression, i.e., leaves no remainder, is referred to as a factor.
What is one degree polynomial?An expression which has the highest power of one of the variable is called one degree or linear polynomial.
Calculate the factor of expression:The given expression is;
(2 – 7)(y + 15)
As, the expression has variable 'y', which has the highest power of one. It means the expression is a one degree polynomial.
The factor of polynomial is always equal to its degree; here in this case it is one.
Therefore, the expression (2 – 7)(y + 15) has only one factor.
To know more about how to write and evaluate algebraic expression?, here
https://brainly.com/question/4344214
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To determine the number of deer in a forest, a forest ranger tags 280 and releases them back into the forest. Later, 405 deer are caught, out of which 45 of them are tagged. About how many deer are in the forest?
Answer:
640
Step-by-step explanation:
405-45= 360
360+280=640
Answer:
2520 deerStep-by-step explanation:
Given
Tagged deer = 280Caught deer = 405Tagged among caught = 45The ratio of the tagged deer vs total
45 ⇔ 405280 ⇔ xSolving by cross-multiplication
45x = 405*280x = 405*280/45x = 2520So there are about 2520 deer in the forest
like terms and unlike terms
Answer:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.
Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz2 and −5xyz2 are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all
Answer:
unlike terms
Step-by-step explanation:
are more than two hope this helps I just answer quickly
Need helppp2/3 (18a - 11) = 1/3 (a + 13)
Answer: a = 1
its mostly combing, dividing and distributing.
Answer:
the answer is a = 1
Step-by-step explanation:
combine a and 18a and combine 11 and 13
divide and distribute the numbers and then you get your answer
this was kinda and easy problem
Celine is 28, celines age is 4 more than 1/3 of drakes age. How old is drake?
Answer:
Step-by-step explanation:
C = 28
C = 4 + 1/3 D
This means that
28 = 4 + 1/3 D
Subtract 4 from both sides.
24 = 1/3 D
Then to get rid of the fraction, multiply both sides by 3
72 = D
Therefore Drake is 72.
Answer:
72
Step-by-step explanation:
find the compound interest
on Rs 4000 for 30 months at 10% per annum
Answer:
Rs. 1076.23
Step-by-step explanation:
The compound interest is given by the formula;
A=P(1+r/n )^nt
where
A= amount at the elapse of the period
P= principal amount = Rs=4000
r=rate of interest=10% =0.1
n=number of times the interest is applied per time period= 1
t=number of time periods elapsed = 30 months = 30/12 = 2.5 years
Applying the formula;
A=P(1+r/n )^nt
A=4000( 1+ 0.1/1)^1*2.5
A=4000(1.1)^2.5
A=4000 * 1.2691
A=Rs. 5076.24
Compound interest will be : 5076.24-4000 = Rs. 1076.23
Find the equation of the line in slope intercept form
Answer:
y= 1/3x-3
Step-by-step explanation:
rise /run
-3 is the point you start
Answer:
y = 1/3x - 3
Step-by-step explanation:
First, find the slope
(3, -2)
(0, -3)
-2-(-3) = 1
3 - 0 = 3
Slope = 1/3
Now, find the y intercept
y = mx + b
-2 = 3 * 1/3 + b
-2 = 1 + b
-3 = b
Rewrite the equation
y = 1/3x - 3
Please let me know if I did something wrong!
22. Restaurants At Morgan's Fine Cuisine, meals are served a la carte. That is, each
item on the menu is priced separately. Jackie and Ted Parris went to Morgan's to
celebrate their anniversary. Jackie ordered prime rib, 2 side dishes, and a roll. Ted
ordered prime rib, 3 side dishes, and 2 rolls. Jackie's meal came to $36 and Ted's
meal came to $44. If the prime rib is three times as expensive as a side dish, what
is the cost of each item?
Answer: Cost of a side dish = $ 7
Cost of a roll = $1
Cost of prime rib = $21
Step-by-step explanation:
Let x = cost of a side dish , y= cost of a roll
Then, cost of a prime rib = 3x
Jackie's meal : prime rib, 2 side dishes, and a roll, it came to $36
i.e. 3x+2x +y = 36
⇒ 5x+y=36 (i)
Ted's meal : prime rib, 3 side dishes, and 2 rolls, it came to $44.
i.e. 3x+3x +2y = 44
⇒6x+2y=44
⇒ 3x+ y= 22 (ii) [divide both sides by 2]
Subtract (ii) from (i), we get
2x= 14
⇒ x=7 [divide both sides by 2]
Put x=7 in (ii), 3(7)+y=22
⇒ 21+y=22
⇒ y =22-21
⇒ y= 1
So, cost of a side dish = $ 7
cost of a roll = $1
cost of prime rib = 3x $7 = $21
What type of equipment did police use in 1918
Answer:
Police officers, whether plain-clothed or uniformed, carry a variety of equipment with them on service calls. Police in uniform carry much more equipment than those in plain clothes, and members of special operations teams, such as SWAT and crowd-control units, carry even more, sometimes including full body armour complete with helmet, leg pads, and shield.
Step-by-step explanation:
hope it helped!
p.s it would be cool it you would give me brainliest
( Will give brainliest to whoever answers the question correctly)
Answer:
The answer is 70
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\sf 70}[/tex]
Step-by-step explanation:
a. Substitute d = 500 in the formula
[tex]\displaystyle s=\sqrt{9.8 \times 500} =70[/tex]
b. As the depth decreases, the speed of the tsunami decreases because both quantities are directly proportional.
How many serving of cookies does this recipe make? How many serving are in 1 dozen cookies? How many servings are in 4 dozen cookies?
Answer:
one dozen: 12 servings
four dozens: 12x4 so 48 servings
Step-by-step explanation:
Assuming one cookie is one serving a dozen would be 12 so 12 servings per dozen.
Answer:
48 cookies
Step-by-step explanation: so a dozen cookies would be 12 cookies and 4*a dozen which would be 12 is 48 so 48 cookies= 4 dozens
brainliest if you answer correctly
Which of the following tables of values represent ordered pairs for the function f(x) = 2x – 1?
PLEASE HURRY 10 POINTS
A.
x 3 6 9 12
f(x) 6 12 18 24
B.
x 2 4 6 8
f(x) 5 9 13 17
C.
x 1 2 3 4
f(x) 1 3 13 17
D.
x 0 4 8 12
f(x) -1 7 15 23
Answer:
D
Step-by-step explanation:
x 0,4,8,12
f(x)‒1,7,15,23
we can prove as the following
f(x)=2x‒1
‒1=2(0)‒1
‒1=0‒1
‒1=‒1
f(x)=2x‒1
7=2(4)‒1
7=8‒1
7=7
f(x)=2x‒1
15=2(8)‒1
15=16‒1
15=15
f(x)=2x‒1
23=2(12)‒1
23=24‒1
23=23
i wish it helps you
Which costs less per banana, 8 bananas for $1.95 or 12 bananas for $2.29? Explain.
Answer:
12 bananas for $2.29
Step-by-step explanation:
1.95/8=$0.24 per banana
2.29/12=$0.19 per banana
$0.19>$0.24
what decimal is between 4/5 and 5/6
Answer: .81 or .82
Step-by-step explanation:
HELP please this is due at 11:55 so like in hour and I am confused
1/2 of a number is three more than 1/5 of the same number. What is the number?
I need help with my math work
Complete the following equality. 4 days = hours
Day: 4
Hour: 96
Days Hours
1 Day 24 Hours
2 Days 48 Hours
3 Days 72 Hours
4 Days 96 Hours
Answer:
96 hours
Step-by-step explanation:
each day has 24 hours in one day. If you are trying to find the number of hours in a set number of days, you multiply the number of days by 24.
i have a question on ratios
Answer:
What is your question?
PWEESE HELP!!
To create a graph from an equation, evaluate the function at different ________________________ . Use the input-output pairs to identify and plot ___________________________ on the graph.
Answer: To create a graph from an equation, evaluate the function at different coordinates. Use the input-output pairs to identify and plot points on the graph.
Step-by-step explanation: Finished the assignment.
The answers to incomplete blanks are -
values of input variablecoordinate input-output pointsWhat is a graph?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
Given is to fill in the blanks and complete the statement below -
"To create a graph from an equation, evaluate the function at different _____ . Use the input-output pairs to identify and plot _______on the graph".
The given statement can be completed as follows -
To create a graph from an equation, evaluate the function at different values of input variable . Use the input-output pairs to identify and plot coordinate input-output points on the graph.
Therefore, the answers to incomplete blanks are -
values of input variablecoordinate input-output pointsTo solve more questions on graphs, visit the link below-
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find the slope of the line that passes through points.
(3,5) and (7,2)
a = ( 3 , 5 )
b = ( 7 , 2 )
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
Now just need to put the coordinates in the above equation ;
[tex]slope = \frac{2 - 5}{7 - 3} \\ [/tex]
[tex]slope = \frac{ - 3}{4} \\ [/tex]
[tex]slope = - \frac{3}{4} \\ [/tex]
And we're done...
♥️♥️♥️♥️♥️
The table below shows the combination of dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of water stir 60 pounds of dry mix. We know that 1 gallon of water is equal to 8 pounds of water . Using the information provided in the table complete the remaining parts of the table . What belongs in Cell A?
Answer:
60
Step-by-step explanation:
Marissa has a goal of shooting exactly 400 three–pointers during her basketball practice every week. She has already shot 105 of them over the first two days of practice. Write an equation to represent how many three–pointers (t) Marissa has to average over the next 5 days to reach her goal.
Answer: 5t = 400-105
Step-by-step explanation:
Let t= Number of three–pointers Marissa has to average over the next 5 days to reach her goal. .
Goal = 400 three–pointers every week.
Marissa has already shot = 105 three–pointers
Remaining shots to achieve target (5t) = Goal - (Marissa has already shot)
i.e. 5t = 400-105 (required equation)
⇒ 5t = 295
⇒ t = 59
hence, she need to make 59 shots per day for next 5 days.
NEED HELP
what is the range?
|80 - 5x| = 4
Answer:
please be more specific
John has a soup recipe that calls for two 14.5-ounce cans of chicken broth. The recipe serves 4 people. He wants to increase the recipe to serve it to a party of 28 people. If John buys chicken broth in 1-quart containers, how many containers does he need?
Answer:
6 11/32
Step-by-step explanation:
The two cans of broth used in the recipe total 2·14.5 oz = 29 oz. The number of people John wants to serve is 28/4 = 7 times the number served by one recipe. So, the amount of broth needed is ...
(29 oz)·7 = 203 oz
Each quart container of broth holds 32 oz, so John will need ...
(203 oz)/(32 oz/container) = 6 11/32 containers
John needs 6 11/32 containers of broth.
_____
If John must buy the broth, he must buy 7 containers. he will have 21/32 of a container left over after making his soup.
evaluate f(z) for z=7
s = vt + 16t2 for v.
Answer:
s = vt + 16t^2
s -16t^2 = vt
s/t -16t = v
Answer:
v = s/t -16t
Step-by-step explanation: