Write and solve an equation for this situation. In one baseball season, Peter hit twice the difference between the number of home runs Alice hit and 3. Altogether, they hit 9 home runs. How many home runs did each player hit that season? Let h represent Alice's home runs. Alice hit home runs. Peter hit home runs.
Answer:
Y=8
Step-by-step explanation:
The difference between the number Alice hit and 6 is X - 6. Twice that would be 2(X-6). So Y = 2(X-6). We also know that X + Y = 18 so we have 2 equations:
Y = 2(X-6)
X+Y = 18
Let's take the second equation and solve for Y in terms of X
Y = 18 - X
Now take that result and substitute that back into the first equation that starts with Y, because now you know that Y is also equal to 18 - X, now you have:
18 - X = 2(X - 6)
Let's solve for X
18 - X = 2X - 12
18 - 3X = - 12
- 3X = - 30
X = 10 <--number of home runs Alice Hit
That leaves us with Y = 8 <---number of home runs Peter hit
Go back to the original question and make sure the answer fits. The difference between 10 and 6 is 4 and twice that is 8, the number Peter hit. 10 + 8 = 18. Good to go!
What is the measurement for the exterior angle
First we find [tex]\angle ACB[/tex]
[tex]\angle ACB = 180 - (4x - 100) = 180 - 4x + 100 = 280 - 4x[/tex]
Then we find a equation for all the interior angles
[tex]180 = \angle ACB + \angle BAC + \angle ABC\\= 280 - 4x + x + 20 + x\\300 - 2x[/tex]
We solve for x
[tex]180 = 300 - 2x\\180 - 300 = -2x\\-120 = -2x\\2x = 120\\x = 60\\[/tex]
Now we find the exterior angle
[tex]\angle DCB = 4x - 100 = 4 \cdot 60 - 100 = 240 - 100 = 140[/tex]
What is the value of n?
Write an equation of the line passing through the point (4,3) that is perpendicular to the line 4x-7x=9
Answer:
The equation 4x-7x=9 simplifies into x=-3, which is a horizontal line. A perpendicular line would be vertical, and the equation for vertical lines is y=b, b being a constant. In this case on the point (4,3), y is 3, so the equation of the line is y=3.
6/9 = a/12 please 6/9 = a/12 please
At Store #1 for $625 you can buy 25 pairs of shoes. What is the cost for 1 pair of shoes?
Answer:25
Step-by-step explanation:
625/25=25
PLEASE HELP ME UNDERSTAND THIS MORE!!!!!!!!!
You would first use addition and then multiplication
What’s the simplified version −32+|10+2|
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
➷ [tex]\boxed{-20}[/tex]
[tex]-32 + 10 + 2[/tex]
[tex]= -22 + 2[/tex]
[tex]= -20[/tex]
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Answer:
20
Step by Step
Coats are highly seasonal items. Their highest selling month is 450% of their lowest selling month. During the lowest selling month, they sell 360 units. How many units do they sell during the peak month?
a) 820
b) 1,420
c) 1,620
d) 2,820
Answer:
1620
Step-by-step explanation:
450*360/100. xd xd xd
The number of units they sold during the peak month is 1620 units.
Given that, the highest selling month of coats is 450% of their lowest selling month. During the lowest selling month, they sell 360 units.
We need to find out how many units do they sell during the peak month.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the highest number of coats sold in the peak month be x.
So, x= 450% of 360
⇒x=4.5 × 360
⇒x=1,620
Therefore, the number of units they sold during the peak month is 1620 units.
To learn more about an equation visit:
brainly.com/question/14686792.
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Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 10 17 6 33 Female 11 15 13 39 Total 21 32 19 72 If one student is chosen at random, Find the probability that the student was male AND got a "C". Submit Question Question 14
Answer:
1 / 12
Step-by-step explanation:
Given the following data:
_______A___ B ___C ___Total
Male__ 10 __ 17 ___6___ 33
Female_ 11__ 15___ 13___ 39
Total___21__ 32__ 19___ 72
Find the probability that the student was male AND got a "C"
Number of males who got C = 6
Total number of student students = 72
P(student was male and got C) = (number of males who got C / total number of students)
= 6 / 72
= 1 / 12
The length of a rectangle is 12 centimeters and the width is 5 centimeters. A similar rectangle has a width of 3 centimeters. What is the length of the second rectangle?
I believe it is 20 if you set ut up as a ratio. explanation: 3/5 as 12/x. Cross multiply 3x=12×5
3x=60
X=20
How many centimeters are there in 1.5 miles?
Answer:
241402 centimeters
Step-by-step explanation:
Which theorem would be used to write 4x+4=92 in the diagram below?
Answer: C) Alternate interior angles
The blue angles marked are inside the parallel lines, so they are considered interior. They are on alternating sides of the transversal line. The angles are only congruent when the lines are parallel.
Answer: C
Step-by-step explanation:
Which number has two lines of symmetry?
101
619
33
18
33 in middle - and in between I
Answer:
101 is the correcct answer
Step-by-step explanation;
Answered 33 and it was wrong
If you buy a car for $5,000 and you put down $1,500 for a down payment, how much equity will you have in the car?
A. $1,500
B. $5,000
C. $6,500
D. $3,500
Answer:
C.$6,500
Step-by-step explanation:
Because you payed $5,000 for a car and $1,500 more for a down payment, so we would have to add.
$5,000 (cost of car) + $1,500 (cost of down payment) = $6,500 (total pay)
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!URGENT
Answer: 16
Step-by-step explanation: 4x4=16
n
-10 9 8 7 6 5 4 -3 -2 -1 0
Which multiplication problem is modeled on the
number line?
O 2-4)
4(2)
O 2(4)
O 46-2)
Answer:
D. 4(-2). and I take the quiz
What is the solution to the inequality 4−2(x+10)<12?
hope you like the answer
please mark the answer to brainliest
When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F. What was the temperature when Ava woke up?
Answer:
[tex]T_f=9^{\circ} F[/tex]
Step-by-step explanation:
It is given that,
Initial temperature, [tex]T_i=3^{\circ} F[/tex]
The decrease in temperature when she woke up is, [tex]\Delta T=6^{\circ} F[/tex]
We need to find the temperature when Ava woke up.
Change in temperature = final temperature-initial temperature
[tex]6\ ^{\circ}F=T_f-3^{\circ}F\\\\T_f=9^{\circ} F[/tex]
So, when she woke up the temperature was 9°F.
The temperature when Ava woke up is -3°F
What is Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
When Ava went to bed, the temperature was 3°F.
and, When she woke up, the temperature had decreased by 6°F.
So, the temperature when Ava woke up
= 3 - 6
= -3°F
Hence, the temperature when Ava woke up is -3°F
Learn more about integers here:
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Which of the following statements is correct? A. During times of high inflation, interest rates on new loans for cars, homes, and credit cards fall. B. The degree of inflation risk is higher for short-term lending. C. Stock market investors are positively affected when inflation rises. D. Long-term interest rates are generally higher than short-term interest rates.
Answer:
D.
Step-by-step explanation:
The longer the interest rate, the more money it will generally cost someone.
A triangle has angles of 124°, 28° and 28°.
Using the given angle measures, how many triangles can be formed (one unique, more than one, or none)? Explain your answer.
Answer:
1 unique
Step-by-step explanation:
Given the angles of the triangle in the question, only one unique triangle can be formed.
This is because, if we look at the angles given, we can see that we have two of the angles equal.
This will give rise to the formation of an isosceles triangle which is a triangle in which two of the sides are equal in length
The equal angles made it in such a way that this is the only type of triangle that can be formed from the angles given
4. Divide £2600 in the ratio 1:4:8
Answer:
total money = 2600
Divide into 2
2600/2 = 1300
divide into 3
2600/3 = 866.6
divide into 4
2600/4 = 650
Step-by-step explanation:
Joanne wants to buy a skirt for $25.00. If she has a coupon for $5 off a clothing
purchase, what will be her percent of savings?
Find the coordinates of A (-2,3) after a rotation of 90 degrees
(-3,-2) are the new coordinates
2/3 - 1/5
Easy 10 points!
Answer: 0.46666666666
Step-by-step explanation: Hopefully this helps!
Use the fact that ºF = (9/5)ºC + 32 to help you answer the following questions. (c) Find the mean temperature in degrees Fahrenheit. What does this suggest about the value of the “normal” body temperature?
Answer:
it 37 degree c
Step-by-step explanation:
F=9/5*37+32
F= 98.6
Cody was 165\,\text{cm}165cm165, start text, c, m, end text tall on the first day of school this year, which was 10\%10%10, percent taller than he was on the first day of school last year.
How tall was Cody on the first day of school last year?
Answer:
150
Step-by-step explanation:
Answer:
150cm
Step-by-step explanation:
What is the equation of the line that passes through the point (-3, 6) and has a
slope of -2?
Answer:
y = -2x
Step-by-step explanation:
y = mx + c
Substitute the value,
6 = (-2)(-3) + c
c = 0
Thus, the equation is y = -2x
I need help with these two
Answer:
4)X=23
5)x=15
Step-by-step explanation:
8x-77=3x+38
+77 -3x
5x=115
X=23
———
5x+3+9x-33=180
14x-30=180
+30
14x=180
X=15
15 points and a brainliest answer this!
Answer: the correct answer i got was y= -9. Plz mark this brainlest
Step-by-step explanation: