The expression is 436 + x = 515
The number of points they scored in the last game is 79
Step-by-step explanation:
Sally's basketball team played 6 games
They scored 76 points in the first game88 points in each of the next two games92 points in each of the following two gamesThe team scored 515 points altogetherWe need to write an expression and calculate the number of points they scored in the last game
Assume that the score of the last game is x
∵ Sally's basketball team played 6 games
∵ The score of the first game is 76 points
∵ The score of the next two games is 88 points each
∴ The score of the 2nd game is 88 points and the score
of the 3rd game is 88 points
∵ The score of each following two games is 92 points
∴ The score of the 4th game is 92 points and the score
of the 5th game is 92 points
∵ The score of the 6th game is x points
- Add all of them to find the total score of the 6 games
∴ The total score = 76 + 88 + 88 + 92 + 92 + x
- Add the like terms
∴ The total score = 436 + x
∵ The team scored 515 points altogether
- Equate the expression of the total by 515
∴ 436 + x = 515
- To find the value of x subtract 436 from both sides
∴ x = 79
∴ The score of the last game is 79 points
The expression is 436 + x = 515
The number of points they scored in the last game is 79
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We formulate an expression to represent the overall score of Sally's basketball team and solve for the final game's score. The outcome of the expression found that Sally's team scored 79 points in the last game.
Explanation:The subject of this question is regarding basketball scoring, which falls under the subject of mathematics, specifically algebraic expressions. The first step in finding out how many points were scored in the last game by Sally's basketball team is to write an expression that represents the total points scored in all games. This could be done as follows:
76 (first game score) + 88*2 (second and third game score) + 92*2 (fourth and fifth game score) + X (sixth game score) = 515 (total score)
To resolve this expression, you first do the multiplications and then the additions. This results in the partial sum of 436 points for the first five games.
Next, subtract this partial sum from the total score (515-436), the outcome is 79.
Therefore, Sally's basketball team must have scored 79 points in the last game.
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a teacher has 64 students to divide into small groups greater than 2 with no remaimder. how many ways can this be done?
To divide 64 students into small groups greater than 2 with no remainder, you would use the concept of combinations, specifically 62C3, resulting in 3,992 possible ways.
Explanation:A teacher has 64 students to divide into small groups greater than 2 with no remainder. To solve this, we can use the concept of combinations, denoted as nCr, where n is the total number of students and r is the size of each group. In this case, the calculation would be 62C3, which equals 3,992 ways of dividing the students into groups.
Which value of n makes the equation true? 6n − 2(4n + 7) + 4 = -2
Answer:
n = - 4
Step-by-step explanation:
Given
6n - 2(4n + 7) + 4 = - 2 ← distribute and simplify left side
6n - 8n - 14 + 4 = - 2
- 2n - 10 = - 2 ( add 10 to both sides )
- 2n = 8 ( divide both sides by - 2 )
n = - 4
To solve the equation 6n - 2(4n + 7) + 4 = -2, we apply the distributive property and combine like terms to simplify. The solution is n = -4.
To solve the equation 6n - 2(4n + 7) + 4 = -2, we need to apply the distributive property and combine like terms to simplify.
Distribute the -2 to both terms inside the parentheses: -2(4n + 7) = -8n - 14.Combine like terms: 6n - 8n - 14 + 4 = -2.Combine like terms again: -2n - 10 = -2.Next, we isolate the variable n by adding 10 to both sides: -2n - 10 + 10 = -2 + 10.Simplify: -2n = 8.Finally, solve for n by dividing both sides by -2: n = 8 / -2.Therefore, the value of n that makes the equation true is n = -4.
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Can you please help me with the problem in the image below?
Given data:
m∠P = m∠R and TP = SR
To prove that ΔQTP ≅ ΔQSR:
Consider ΔQTP and ΔQSR,
m∠P = m∠R (given angle)
TP = SR (given side)
m∠Q = m∠Q (common angle)
∴ ΔQTP ≅ ΔQSR (by ASA congruence rule)
Hence ΔQTP and ΔQSR are congruence triangles by Angle - Side - Angle congruence rule.
20 PPOINTS SOMEONE PLEASE HELP ME ON #11 pleaseeee
Answer:
Set #9 are congruent triangles.
Step-by-step explanation:
They are the same shape and size. If I were to flip them over, they would mach up.
Answer:
cap its only 10
Step-by-step explanation:
what is the answer to 10+7x
Answer:if u I simplified then 17x
Step-by-step explanation:
Like terms are 10+7=17+x=17x
IM KINDA SLOWWWWW sorry
What are all possible functions from 1 to 9
Answer:
In mathematics, a function (f) is a relationship between a given set X (called domain) and another set of elements Y (called codomain) so that each element x of the domain corresponds to a single element f (x) of the domain (the that form the route, also called scope ranking).
See: Relations and functions
In everyday or simpler language, we will say that mathematical functions are equivalent to the common logical process that is expressed as "dependent on."
Mathematical functions can refer to everyday situations, such as: the cost of a phone call that depends on its duration, or the cost of sending a parcel that depends on its weight.
As an example, what would be the rule that relates the numbers on the right with those on the left in the following list ?:
1 --------> 1
2 --------> 4
3 --------> 9
4 --------> 16
The numbers on the right are the squares of those on the left.
The rule is then to "square":
1 --------> 1
2 --------> 4
3 --------> 9
4 --------> 16
x --------> x 2.
To refer to this rule we can use a name, which is usually the letter f (of function). So, f is the rule "square the number".
Usually two notations are used:
x --------> x 2 or f (x) = x 2.
Thus, f (3) means applying the rule f to 3. Doing so results in 3 2 = 9.
Then f (3) = 9. Similarly f (2) = 4, f (4) = 16, f (a) = a 2, etc.
Set up and solve a proportion 6/100=s/12
Amount of tax on the book (s) is $0.72
Step-by-step explanation:
Step 1: Given 6/100 = s/12Step 2: Cross multiply to solve for s⇒ 6 × 12 = 100 × s
⇒ 72 = 100s
⇒ s = 72/100 = 0.72
What does x equal in
-0.4 (x+3)=4
Answer:
x=-13
Step-by-step explanation:
1. Divide both sides by -0.4
2. Subtract -3 on both sides.
3. -10-3=-13
For all values of x, which expression is equivalent to x + 1 − x + 2x + x + 1?
Answer:
3x+2
Step-by-step explanation:
We want to find an expression that is equivalent to:
[tex]x+1-x+2x+x+1[/tex]
We regroup similar terms to get:
[tex]x-x+2x+x+1+1[/tex]
We now combine the similar terms to obtain:
[tex]3x+2[/tex]
Therefore the expression that is equivalent to: x + 1 − x + 2x + x + 1 is [tex]3x+2[/tex]
Answer:
3x + 2
Step-by-step explanation:
3x + 2
Solve by simplifying the given expression OR substitute 1 for x in each expression.
x + 1 − x + 2x + x + 1 → x − x + 2x + x + 2 → 3x + 2
OR
x + 1 − x + 2x + x + 1 → 1 + 1 − 1 + 2(1) + 1 + 1 = 5
3x + 2 → 3(1) + 2 = 5
Answer please! True or false!
Answer:
a. False
b. False
c. False
d. True
e. False. (any number above 14.5 is a solution).
Step-by-step explanation:
12 + 6y > 99
6y > 87
y > 14.5.
Questions 32 help plz with explanation. 15 points!!
Answer:
The man's son
Step-by-step explanation:
"Brothers and sisters I have none, but that man's father is my father's son" the part where he says "that man's father is my father's son" implies that he is looking at his son.
help asap please!!!!!!!
Answer:
VW=30, WX=20, YW=30,ZX=20
Step-by-step explanation:
Which of the following sets of numbers could be the side lengths of a right triangle? 5, 12, 13 5, 5, 9 14, 14, 14 2, 3, 5
Answer:
5,12,13
Step-by-step explanation:
i think thats what the other person meant to say, either way, these numbers are correct
Answer: 5, 12, 13
Step-by-step explanation:
If Greg but 10 pieces of candy for $5.20 How much will it be for one piece of
Answer:
One piece of candy costs $0.52.
Step-by-step explanation:
5.2/10=0.52
If PQR measures 75°, what is the measure of SQR?
Answer: the measure of SQR is 53°
Help ASAP..........
John and Mary went to the airport last Sunday. John took a bus first, and it took him 30 min to reach the train station. Then he got on a train and it took him 55 min to reach the airport. Mary left home 25 min later than John. She took a taxi and she reached the airport 20 min earlier than John. How long did it take Mary to get to the airport
Answer with full steps
Answer:
Mary reached the airport in 40 minutes
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Time it takes John to go from home to the train station = 30 minutes
Time it takes John to go from the train station to the airport = 55 minutes
Mary left 25 minutes later and reached the airport 20 minutes earlier than John
2. How long did it take Mary to get to the airport?
Total time it takes John to reach the airport = Time it takes John to go from home to the train station + Time it takes John to go from the train station to the airport
Total time it takes John to reach the airport = 30 + 55
Total time it takes John to reach the airport = 85 minutes
Now, let's calculate the time it takes Mary to reach the airport, this way:
Total time it takes John to reach the airport - minutes Mary left later - minutes Mary got to the airport earlier than John
85 - 25 - 20 = 85 - 45 = 40
Mary reached the airport in 40 minutes
Answer: Mary got to the airport in 40 Minutes.
Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
Louise’s answer is not correct
Step-by-step explanation:
Let us revise how to solve (ax + b)²
Square the 1st term ⇒ (ax)²Multiply the 1st term, the 2nd term and 2 ⇒ 2(ax)(b)Square the 2nd term ⇒ (b)²(ax + b)² = (ax)² + 2(ax)(b) + (b)²The answer of square a binomial contains three terms: (1st)² + 2(1st)(2nd) + (2nd)²
∵ The bracket is (5x³ + 3)²
- Square the first term
∴ The first term of the answer = (5x³)² = (5)²(x³)² = [tex]25x^{6}[/tex]
- Multiply the 1st , the 2nd term and 2
∴ The second term of the answer = 2(5x³)(3) = 2(5)(3)x³ = 30x³
- Square the 2nd term
∴ The third term of the answer = (3)² = 9
∴ (5x³ + 3)² = [tex]25x^{6}[/tex] + 30x³ + 9
∵ Louise’s answer is (5x³)² + (3)² = [tex]25x^{6}[/tex] + 9
- By comparing the his answer with the answer above, he did
not find the middle term
∴ Louise’s answer is not correct
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Answer:
Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
Step-by-step explanation:
Sample Response ^^^
Equivalent expressions 3.7r - 1.5r =
Answer:
2.2r
Step-by-step explanation:
3.7r - 1.5r =
= r(3.7 - 1.5)
= r×2.2
= 2.2r
Yo sup??
given expression: 3.7r-1.5r
3.7r-1.5r
=3.7r+(-1.5r)
=2.2r
Hope this helps.
solve for x.
Brainlest for anyone who helps!!
thanks you
================================================
Explanation:
If points F and E are the midpoints of segment VU and segment ST respectively, then segment FE is the midsegment of the trapezoid. The midsegment is parallel to the bases, and the midsegment's length is found by adding up the bases VS and UT, then dividing by 2.
(VS + UT)/2 = FE
(29 + x+17)/2 = 23 ... plug in given info; isolate x
(x+46)/2 = 23
x+46 = 23*2 ... multiply both sides by 2
x+46 = 46
x = 46-46 ... subtract 46 from both sides
x = 0what is the solution ? Please help with this !!
Answer:
the answer is c
Step-by-step explanation:
see picture
write a number with two decimal places that are bigger than 4 1/5 but smaller than 4.25
Answer:4.21,4.22,4.23, 4.24
Step-by-step explanation:
4 1/5 is 4.2 as a decimal and the numbers between 4.2 and 4.5 as numbers with 2 places past the decimal place are the ones above.
The number with two decimal places that are bigger than 4(1/5) and smaller than 4.25 is 4.22.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4(1/5)
= 21/5
= 4.2
Now,
Two decimal numbers between 4.2 and 4.25.
4.21, 4.22, 4.23, and 4,24.
Thus,
The number is 4.22.
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What is 8x to the second power plus 10x
The expression [tex]8x^2 + 10x[/tex] factors to [tex]2x(4x + 5)[/tex] and has solutions x = 0 and x = -5/4.
We first need to understand what it represents. In this expression, [tex]x[/tex] is the variable, and the terms [tex]8x^2[/tex] and [tex]10x[/tex] are polynomial terms where:
[tex]8x^2[/tex] indicates that the variable [tex]x[/tex] is raised to the power of 2, meaning it is multiplied by itself ([tex]x \times x[/tex]) and then scaled by a factor of 8.
[tex]10x[/tex] means that the variable [tex]x[/tex] is multiplied by 10.
The first term is [tex]8x^2[/tex].
The second term is [tex]10x[/tex].
In this case, the terms are not like terms because one is [tex]x^2[/tex] and the other is [tex]x[/tex]. Therefore, they cannot be combined further. The expression is simplest as it stands, which is: [tex]8x^2 + 10x[/tex]
Factoring out [tex]2x[/tex] gives us:
[tex]2x(4x + 5)[/tex]
Thus, [tex]8x^2 + 10x[/tex] can also be expressed as [tex]2x(4x + 5)[/tex]. This is useful if you are trying to find the roots of the equation (setting it equal to zero) since it can help identify the values of [tex]x[/tex] that satisfy the equation [tex]8x^2 + 10x = 0[/tex].
This gives two possible solutions for x:
2 * x = 0 which leads to x = 0
4 * x + 5 = 0 which leads to x = -5/4
The graph at the right shows the relationship between distance and time for a car driven at a constant speed.
1. What is the speed?
2. Is this a function relationship?
3. If this is a function, write a rule to represent it.
Answer:
1. 60 miles per hour
2. Yes, linear
3. Y=60x
Step-by-step explanation:
1. Speed is 60 miles per hour.
2. A function relationship is a relationship between two variables.
3. The rule to represent the function is Distance = 60t.
1. What is the speed?
The speed of the car is the rate at which it is traveling. It is calculated by dividing the distance traveled by the time taken to travel that distance.
Speed = Distance / Time
From the graph, we can see that the car travels 120 miles in 2 hours. Therefore, the speed of the car is:
Speed = 120 miles / 2 hours = 60 miles per hour
2. Is this a function relationship?
A function relationship is a relationship between two variables where each input value has only one output value. In other words, for every value of the independent variable (in this case, time), there is only one corresponding value of the dependent variable (in this case, distance).
We can see from the graph that the distance traveled by the car increases linearly with time. This means that there is a one-to-one relationship between the two variables, and therefore the relationship is a function.
3. If this is a function, write a rule to represent it.
A rule for a function is a mathematical expression that shows how the dependent variable is related to the independent variable. In this case, the rule for the function would be:
Distance = Speed * Time
Substituting the speed of the car into the rule, we get:
Distance = 60 miles per hour * Time
Therefore, the rule to represent the function is:
Distance = 60t
where t is the time in hours.
what is 1% of 12.54?
Answer:
0.1254
Step-by-step explanation:
(Divide by 100 to get 1%)
Answer:
Step-by-step explanation:
0.1254
how do you do number 5 please.
Answer:
2.4 kg
Step-by-step explanation:
Given
dog eats 0.3 kg of dog food each day
hence we can say that the unit rate is 0.3 kg per day
1 day ------> eats 0.3 kg
8 days -------> eats 0.3 kg x 8 = 2.4 kg
Answer:
2.4 kilogram
Step-by-step explanation:
If
1 day = 0.3kg
8day =
0.3 multiply by number of days
0.3kg * 8= 2.4kg
20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability that the first is a Man's card and the Second, A woman's card?
5/19
14/19
1/4
9/10
Answer:
First choice:
[tex]\large\boxed{\large\boxed{5/19}}[/tex]
Explanation:
The probability that the first is a man's card and the second, a woman's card is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.
In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.
1. Probability that the first is a man's card
Number of cards in the hat = 20 (the 20 business card)Number of man's card in the hat: 10Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.2. Probability that the second is a woman's card
Number of cards in the hat = 19 (there is one less card in the hat)Number of wonan's card in the hat: 10Probability = favorable oucomes / possible outcomes = 10/19.3. Probability that the first is a man's card and the second, a woman's card
(1/2) × (10/19) = 5/19That is the first choice.
Answer:
5/19
Step-by-step explanation:
I know this isn't as good as the other persons answer but I wanted to reassure you that it was correct and my proof is that I took a test on this and got it right with this answer. I hope I helped! :>
is 28 √6 rational or irrational
Answer:
68.58571279792898674952395409176495897504652945838676359611.....
Irrational
Step-by-step explanation:
Answer:
It is irrational
Step-by-step explanation:
28sqrt6=sqrt(28^2*6)=sqrt(784*6)=sqrt(4704)=68.5857128...
Since the decimals go on forever, 28sqrt6 is irrational
Hope this helped!
in the rectangle below ac=48 units what is de
Answer:
24
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
DB = AC = 48
The diagonals also bisect each other, thus
DE = 0.5DB = 0.5 × 48 = 24 → B
I don’t understand how to get the answer
x = –5 or x = 3
Solution:
Given expression:
[tex]|-1-x|=4[/tex]
[tex]\Rightarrow |-x-1|=4[/tex]
⇒ –x – 1 = 4 or –x – 1 = 4
First take –x – 1 = 4.
Add 1 on both side of the equation.
⇒ –x – 1 + 1 = 4 + 1
⇒ –x = 5
Divide by –1 on both side of the equation, we get
⇒ x = –5
Now take –x – 1 = –4.
Add 1 on both side of the equation.
⇒ –x – 1 + 1 = –4 + 1
⇒ –x = –3
Divide by –1 on both side of the equation, we get
⇒ x = 3
x = –5 or x = 3
Hence the two values of x are –5 or 3.