у = 2х +7
y = x+8
using substitution
Answer:
(1, 9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define Systems
y = 2x + 7
y = x + 8
Step 2: Solve for x
Substitution
Substitute in y: 2x + 7 = x + 8Subtract x on both sides: x + 7 = 8Subtract 7 on both sides: x = 1Step 3: Solve for y
Define equation: y = x + 8Substitute in x: y = 1 + 8Add: y = 9Answer:
x = 1
y = 9
Step-by-step explanation:
y = 2x + 7 --------------------(I)
y = x + 8 ----------------------(II)
Substitute y = 2x + 7 in equation (I)
2x + 7 = x + 8 {Subtract 'x' from both sides}
2x + 7 - x = 8 {Combine like terms}
x + 7 = 8 {Subtract 7 from both sides}
x = 8 -7
x = 1
Substitute x = 1 in equation (I)
y = 2*1 + 7
= 2 + 7
y = 9
b. 40 is 160% of what number?
Answer:
25
Step-by-step explanation:
the question basically translates to
160% x n =40
a little trick with percents I use is that the word "of" always means multiplication.
n=40/160%=25
The triangle DEF is shown in the diagram.
Find the exact value of x.
Answer:
x = 4
Step-by-step explanation:
Using cosine triangle formula, we know that;
c² = a² + b² - 2ac(cos C)
From our diagram;
a = 2x
b = x + 1
c = 7
C = 60°
Thus;
7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60
49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)
49 = 5x² + 2x + 1 - 2x² - 2x
3x² + 1 - 49 = 0
3x² - 48 = 0
3x² = 48
x² = 48/3
x² = 16
x = √16
x = 4
The value of a rare babe ruth baseball card can be represented by the function below. By what percent does the value of the card increase?
Answer:
2 dollar
Step-by-step explanation:
Help me !!!!!!!!!!!!!
Answer:
M AED = 32.5º
Explanation:
M AED = 1/2 x (113º - 48º) = 32.5º
This is an example of angles with vertex outside the circle and their arcs. The formula to find the measure of an angle with the vertex outside the circle is 1/2 x (difference of intercepted arcs), in this case it's 1/2 x (113º - 48º), which equals 32.5º.
HELP Eric's mother drives to work in 20 min when driving at her usual speed. When traffic is bad, she drives 10 miles per hour slower, and the trip takes 10 minutes longer. What is Eric's mother's usual speed?
Answer:
30
Step-by-step explanation:
I could be wrong
Answer:
30
Step-by-step explanation:
Express 4837% as a decimal.
Answer:
48.37
Step-by-step explanation:
48.37
Answer:
48.37
Step-by-step explanation:
Morgan Wallen
Dangerous: The Double Album
is
the
best
everrrrrr
Answer:
trueeeee
Step-by-step explanation:
To perform operations to obtain a single number or value. A Inverse Operation B Algebraic Expression C Evaluate an Algebraic Expression D) Additive Inverse
Answer:
c
Step-by-step explanation:
c
Number of hot yoga practices in a month
Answer:
ig 10?
Step-by-step explanation:
Pls do this ASAP thanks
Answer:
1. distributive property
2. -1/6
3. 9/8
Step-by-step explanation:
for 2 and 3 check by using a calculator.
For the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms
Answer: S = 221
Step-by-step explanation: An arithmetic sequence is a set of numbers in order, having the difference between one term and the next a constant.
The sum of an arithmetic sequence can be calculated as the following formula:
[tex]S=\frac{n}{2} [2a_{1}+(n-1)r][/tex]
where
n is how many terms to add
a₁ is the 1st term of the sequence
r is the constant
For the sequence above:
[tex]S=\frac{17}{2} [2(5)+(17-1)1][/tex]
[tex]S=\frac{17}{2}(26)[/tex]
[tex]S=17(13)[/tex]
S = 221
The sum of the first 17 terms of the arithmetic sequence {5,6,7,8,9,10...} is 221
Identify the set of numbers that best describes the situation.
The number of miles Sarah walked today.
-Rational
-Natural
-Integers
-Irrational
Answer:
natural
Step-by-step explanation:
( 0123456789------------------------)
QUICK
Check
Match each equation to the property it illustrates.
commutative property
8 x 4 = 4 x 8
identity property of addition
(2 + 6) + 3 = 2 + (6 + 3)
associative property
2(3 + 7) = (2)(3) + (2)(7)
distributive property
9 + 0 = 9
identity property of multiplication
(16)(1) = 16
The matching is done is below.
Commutative property → 8 × 4 = 4 × 8Identity property of addition → 9 + 0 = 9Associative property → (2 + 6) + 3 = 2 + (6 + 3)Distributive property → 2(3 + 7) = (2)(3) + (2)(7)Identity property of multiplication → (16)(1) = 16What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Match each equation to the property it illustrates.
Commutative property → 8 × 4 = 4 × 8
Identity property of addition → 9 + 0 = 9
Associative property → (2 + 6) + 3 = 2 + (6 + 3)
Distributive property → 2(3 + 7) = (2)(3) + (2)(7)
Identity property of multiplication → (16)(1) = 16
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What’s 43,3000 In square route
Answer:
658.027355054
Step-by-step explanation:
what is 20 minus -13
A fish swims 30 miles every 5 hours. How many miles does the fish swim each hour?
A. 15 miles
B. 5 miles
C. 150 miles
D. 6 miles
Answer:
6 miles
Step-by-step explanation:
30 divided by 5 equals six, therefore six miles.
Answer:
i think it is 6
Step-by-step explanation:
you divided 30 by 5
Is 5( a+ b) equivalent to 5a + b?
Answer:
no
Step-by-step explanation:
in the first equation you would be distributing so it would be 5a+5b but in the second its just 5a+b
HELP ME ASAP ITS DUE IN 5 MINS
Answer: A is 7 B is 9 C is 9 D is 8 and E is 8
Step-by-step explanation:
I will give brainlist need answer thx! with work
Answer:
490
Step-by-step explanation:
200 + 100 = 300
50 + 50 = 100
300 + 100 = 400
400 + 90 = 490
Which of the following best defines an output? (4 points)
a
An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
b
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
c
An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
d
An output is a set of ordered pairs in which no y-value repeats.
Answer:
B is the best definition of outputStep-by-step explanation:
a . An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
Incorrect. Output is defined by input.b . An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
Correctc . An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
Incorrect. Output is the result of relation but not pairing rule.d . An output is a set of ordered pairs in which no y-value repeats.
Incorrect. y-values can repeat.the price of stock increased by 2/3 cent Monday morning. On Monday Afternoon it decreased by 5/6 cent. On Tuesday mornin,the price increased by 3/4 cent. What is the overall change in stock price?
A(7/12.
b(-7/12
c 10/12
b 10/13
Answer:
7/12
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] + (-[tex]\frac{5}{6}[/tex]) + [tex]\frac{3}{4}[/tex] = [tex]\frac{8}{12}[/tex] + (-[tex]\frac{10}{12}[/tex]) + [tex]\frac{9}{12}[/tex] = -[tex]\frac{2}{12}[/tex] + [tex]\frac{9}{12}[/tex] = [tex]\frac{7}{12}[/tex]
A trough is an open container that is used to hold food or water for animals. The figure below shows a water trough.
1 4. How much ground is covered by the trough?
15. How much metal is needed to make the trough?
16. How much water can the trough hold?
Answer:
1 4 Our soil calculator can be used to help you determine how much soil all of your containers will need. Whether you are growing in raised beds, 5 gallon buckets
Step-by-step explanation:
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down. (Negative 4, Negative 2 and one-half) (Negative 4, 2 and one-half) (4, negative 2 and one-half) (4, 2 and one-half)
Answer:
(4, -2 1/2)
Step-by-step explanation:
The 4 is positive because it goes to the right on the x axis, and the 2 1/2 is negative because it goes down on the y axis.
Answer:
(4, -2 1/2)
Step-by-step explanation:
i did edge test
Help me please????............
Answer:
The answer is A Have some volunteers drink nothing at all
Step-by-step explanation:
A control group is a group of people who don't have the variable they are the base and what we compare everything to so we would see if their mouth was spicy after eating it and not drinking anything then we would know that if someone drinks milk and their mouth is not spicy then it worked but if we don't have the control group then how do we know that just not drinking milk wouldn't have worked
Frank rolls a fair dice and flips a fair coin.
What is the probability of obtaining a prime number and a head?
Answer:
Prime number - 3/6 = 1/2
Head - 1/2
Step-by-step explanation:
prime numbers are 2, 3 and 5 on a die
In a survey, respondents were asked which type of activity they enjoyed most while on vacation. The bar graph shows the responses
of males and females.
How many more males than females said that bike riding was their favorite activity?
Answer:
C. 1
Step-by-step explanation:
From the chart given, it shows that the number of makes that chose bike riding as their favorite activity are 10.
Females who chose bike riding activity are 9.
The difference between number of makes and number of makes and females who chose bike riding = 10 - 9 = 1
Therefore, this means that 1 more male than the female chose bike riding.
doar de la 1 pana la 9
A group of friends were working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props?
Answer:
They spent 112 dollars on props.
The required total 16% spend on the props is $112.
Given that,
A group of friends was working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
A group of friends was working on a student film that had a budget of $700.
Budget = $700
They used 16% of their budget on props.
Total spend on the props = 700 * 16 / 100
= $ 112
Thus, the required total 16% spend on the props is $112.
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Maria worked 20 hours and was paid $157.80 before taxes. At this rate, how much is Maria paid per hour?
0 A $7.79
OB. $7.95
O C. $7.86
D. $7.89
The rate paid per hour for the given condition will be $7.89 per hour thus option (D) is correct.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
As per the given,
Total paid = $157.80
Total hours working = 20 hours
Rate of change = 157.80/20 = $7.89 per hour
Hence "The hourly wage for the specified circumstance will be $7.89.".
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