Answer:
x = 4.2
Step-by-step explanation:
72 + 10x = 114
10x = 114 - 72
10x = 42
x = 42/10
x = 4.2
Answer:
x = 4.2
Step-by-step explanation:
x is equal to 4.2 because ∠PQR and ∠RQS have a sum of 114° so if you subtract 72 from 114 you get 42. Now if you simply divide 42 by 10 you get 4.2.
What is the solution set for 8(2−h)>−3h−4?
Answer:
h < 4
Step-by-step explanation:
Simplify both sides
-8h + 16 > -3h - 4
Add 3h to both sides
-5h + 16 > -4
Subtract 16 from both sides
-5h > -20
Divide both sides by -5
-20 divided by -5 = 4
Since you divided by a negative number, you change the inequality sign to < instead of >
Wade Ellis buys a new car for $16,183.11. He puts 10% down and obtains a simple interest amortized loan for the rest at 11 1/2% interest for four years. How do we find his monthly payment and total interest
Answer:
If a new car was purchased for a cost of $16,183.11, and a down payment of 10% of the value was made, the initial payment was $1,618.31.
Thus, the remaining amount to be financed is $14,564.79. It will be financed in 4 years, at an annual interest rate of 11.5%, for four years. Thus, the total interest will be 46% (11.5 x 4), to be distributed among the 4 years of the financing. Then, the total amount to be paid will be $21,264.59, which will be paid in 48 equal monthly payments of $443.01 (21,264.59 / 48).
What is the slope of the line in the graph?
Edit: I have poor vision! My anwser was incorrect
Answer: m= -3/4
Step-by-step explanation:
can start by looking at the squares of the graph and do the rise over run
. Since it goes down it’s fall over crawl. -3/4
If a multiple choice test consists of questions, each of which with of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? (b) in how many ways can a student check off one answer to each question and get all the answers wrong? (a) The test can be answered in 25 ways.
Answer:
Step-by-step explanation:
From the given information.
suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:
So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.
Thus, the students can check off one answer to each question in [tex]4^5 \ different \ ways[/tex]
= 4 × 34 × 4 × 4 × 4
= 1024 different ways.
From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.
Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵
= 3 × 3 × 3 × 3 × 3
= 243 ways
b is the midpoint of AC. a has coordinates (9.11), and B has coordinates (-10,5). find the coordinates of c.
LM is 11x-21 MN is 8x+15
Answer:
If you are asking me to combine the expressions, then we can combine like terms to get 19x-6
Step-by-step explanation:
use the graph of the function to find the domain and range of f
Answer:
Step-by-step explanation:
Domain: since x begins to the right of x = -2 and ends at x =2, the domain is (-2, 2]
Range: The smallest y value shown is y = -5 and the largest is y = 4. Thus, the range is [-5, 4].
Kevin is 5 1/2 feet tall. Jane is 5 3/8 feet tall. Who is taller. How much taller.
Answer:
It's Kevin
Step-by-step explanation:
If you convert the fractions, Kevin is 5 4/8, while Jane is 5 3/8
Therefore, Kevin is 1/8 taller
Answer:
Kevin is taller by 1/8 feet
Step-by-step explanation:
5 4/8 - 5 3/8 = 1/8
Hope this helps, have a great day:)
Chris is going to play baseball every 2 days and he is going to play soccer every 3 days. what are the first 3 days that he will do both on the same day?
Answer:
6,12,18 days
Step-by-step explanation:
Just add 6 to 12 or 6 x 3
6th, 12th and 18th are the first 3 days that he will do both on the same day.
What is Number system?A number system is defined as a system of writing to express numbers
Given that Chris is going to play baseball every 2 days and he is going to play soccer every 3 days.
We need to find the three days that he will do both on the same day
To find this we need to find the common multiples between 2 and 3.
The multiples of 2 are 4, 6, 8, 10,12, 14, 16, 18..
The multiples of 3 are 6, 9, 12, 15, 18...
Let us take first three common multiples of 2 and 3
Which are 6, 12 and 18
Hence, 6th, 12th and 18th are the first 3 days that he will do both on the same day.
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what is the median 9 7 6 10 3 4 6
Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if each napkin is 1 foot by 1 foot?
Mahalia can make a total of 18 napkins using the fabric which she has bought.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
Given that,
She has 12 inches wide and 6 yards long fabric.
Since 1 yards = 36 inches.
So,
6 yards = 6 × 36 = 216 inches.
Now,
The total surface area of napkins ⇒ 12 × 216
⇒ 2592 inch²
Area for 1 napkin = 1 foot × 1 foot
Since 1 foot = 12 inches
So,
Area for 1 napkin = 12 × 12 = 144 inch²
Number of napkins can be made = The total surface area of napkins / Area for 1 napkin
Number of napkins that can be made = 2592 inch² / 144 inch²
⇒ 18
Hence "Mahalia can make a total of 18 napkins using the fabric which she has bought".
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Using distributive property simplify 4 (3x + 7)
Answer:
12x+28 I think
Step-by-step explanation:
4•3x+7
12x+(4•7)
12x+28
Answer:
[tex]\huge\boxed{\boxed{12x+28}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac, where a, b, and c can be constants (numbers) or variables (letters).
Now that we know the formula, it's time to simplify! :)
The expression is:
4(3x+7)
Multiply 4 times 3x and 4 times 7:
4×3x=12x
4×7=28
Put the terms together:
12x+28
Can we simplify this expression? No, because 12x and 28 are not like terms.
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
Match the base to the corresponding height.
Answer: I need more information :)
Step-by-step explanation:
4. Which expression represents a number greater than 8,000 but smaller than 80,000
Answer:
8000<x<80000
Step-by-step explanation:
a number(x) is greater than (<) 8000
and x is also less than(<) 80000
4. At lunch, Samantha bought a sandwich for
$2.75, milk for $0.75 and 2 cookies for $0.50
each. If tax is 8%, how much tax did Samantha
just pay for lunch? (CP)
Work:
Answer: 4.86
Step-by-step explanation: 2.75+.75 = 3.5 1 for the cookies 4.5*0.08 = 0.36
4.5+.36 = 4.86.
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 112 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?
Answer:
97 minutes
Step-by-step explanation:
If UV = 6 and TV = 12, what is TU?
Answer:
TU = 6
Step-by-step explanation:
Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.
Find the value of x using angle properties. What is the measure?
Answer: x = 7
Step-by-step explanation: 16x = 4x + 84
15) The value of x would be 20.
16) The measure of angle BFH would be 100.
17) The value of x is, 7
Used the concept of angles in a parallel line which states that,
if a transversal intersects two parallel lines, the corresponding angles will be always equal.
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.
Given that,
In Figure 15, both angles are corresponding angles.
And, in Figure 17, both angles are Alternate angles.
Now, by definition of Alternate and Corresponding angles we get;
17) The angles DBF and angle EFB are congruent.
So, it can be equal.
16x = 4x+ 84
Subtract 4x on both sides,
16x - 4x = 84
12x = 84
Divide 12 on both sides,
x = 84/12
Therefore, the value of x is,
x = 7
15) The angles of CBD and BFH are conguent.
So, It can be equal.
5x = 3x + 40
Subtract 3x on both sides,
5x - 3x = 40
2x = 40
Divide 2 on both sides,
x = 40/2
x = 20
16) So, the measure of angle BFH is,
∠BFH = 3x + 40
= 3 × 20 + 40
= 60 + 40
= 100
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Write each product as a power. 10⋅10⋅10⋅10⋅10⋅10⋅10= pls help im dumb lol
Hey there!
ANSWER: [tex]10^7[/tex]EXPLANATION:[tex]10*10*10*10*10*10*10 \text{ as a power}[/tex]
To write as power, you will see how many times you multiply the number 10.
[tex]10(1)*10(2)*10(3)*10(4)*10(5)*10(6)*10(7)\\\text {It was multiplied 7 times}[/tex]
Since it was multiplied 7 times, you would write it like this.
[tex]10^7(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
what number gives a result of -5 when 8 is subtracted from the quotent of the number and 6
Answer:
if you do 6-8
Step-by-step explanation:
6-8 = -5 because if you subtract 8 from 6 you will still have -5
There are nine water bottles in devins refrigerator.
my boy wants to stay hydrated and we all know that he's that one kid who screams YESSSIRR at 3;00am because he got one kill on a free game ( fortnite) a dead game btw . but he love the boys he kisses them on the cheek and tuck them in every night and he makes sure they got 9 bottles of water in there refrigerator too. he that one kid at school that gets every new iphone but asks YOU for a PENCIL he that one kid that brags about how his mom bought him the new fortnite skin he the one to call you a bot when he the one who died. but he love the boys tho there bond do be unbreakable.
to the boy devin the 9 water bottle drinker, he drink from so many water bottles his head starting to look like a water bottle
Find Slope (3,-4)and(9,-4)
Answer:
The slope is zero (0)
Step-by-step explanation:
-4-(-4)/ 3-9
0/-6
0
PLZZZ HELP WILL GIVE BRAINLIST PLZZZ I REALLY NEED HELP At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday? Show all of your work
Answer:
126
Step-by-step explanation:
90 / 500 = 0.18 = 18% probability.
So now what is 18% of 700?
0.18 * 700 = 126
Two balls are to be pulled from a vase that contains 7 red balls 9 green balls and 2 black balls. After the first ball Is drawn, it is not the replaced. What is the probability that two black balls are chosen from the vase?
Answer:
[tex]\frac{1}{153}[/tex]
Step-by-step explanation:
There are a total of 7 + 9 + 2 = 18 balls in the vase, therefore, when not replacing the first ball, there would be 18 · 17 = 306 ways to pull 2 balls. There are 2 ways to choose the first black ball and then 1 way to choose the second black ball so there are 2 · 1 = 2 ways to choose 2 black balls. Therefore, the probability is 2 / 306 = [tex]\frac{1}{153}[/tex].
May you please answer question #9
Answer: Approximately 0.78388 seconds
==========================================
Explanation:
Plug in t = 0 to find that
h = -16t^2 - 64t + 60
h = -16(0)^2 - 64(0) + 60
h = 60
The starting height is 60 feet.
-----
Now plug in h = 0 and solve for t.
h = -16t^2 - 64t + 60
0 = -16t^2 - 64t + 60
-16t^2 - 64t + 60 = 0
From here use the quadratic formula
[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-(-64)\pm\sqrt{(-64)^2-4(-16)(60)}}{2(-16)}\\\\t = \frac{64\pm\sqrt{7936}}{-32}\\\\t = \frac{64+\sqrt{7936}}{-32} \ \text{ or } \ t = \frac{64-\sqrt{7936}}{-32}\\\\t \approx -4.78388 \ \text{ or } \ t \approx 0.78388 \\\\[/tex]
We ignore the negative t value as a negative time doesn't make sense.
The only practical answer is roughly t = 0.78388 seconds.
Combine the like terms to create an equivalent expression:
\large{-k-(-8k)}−k−(−8k)minus, k, minus, left parenthesis, minus, 8, k, right parenthesis
Answer:
7k
Step-by-step explanation:
−k−(−8k) = -k +8k = 7k
Brian planted 6 rows of tulip bulbs with 5 bulbs in each row. This is 3 times as many bulbs as Ester planted. How many bulbs did Ester plant?
please help i can’t do this and it’s due today please help !!
Answer:
go 3 squares to the side and 2 squares up?
The price of a computer fell 20% this year. If the computer now costs $750, how much did it cost last year?
(step-by-step if possible)
Answer:
$937
Step-by-step explanation:
P(1-20/100)=750- 1 is the object the you take away the percentage that is in
fraction form
P(1-.2)=75-take it from fraction form to decimal form
P(.8)=750-this is the final product of the equation above
750/.8-Take the current price and the decimal and divide
75000/80- take the .8 and add two 0's to get the whole accurate amount
937.5-Price before the price fell
Sorry I'm not the best at explaining things hoped this helped!
regroup and rename the number 680,000