Call the four people [tex]abc[/tex] and [tex]d[/tex].
We know:
[tex]\frac{a+b+c}{3}[/tex][tex]=42[/tex]
and
[tex]\frac{a+b+c+d}{4}[/tex][tex]=40[/tex]
Thus:
[tex]a + b + c = 126[/tex]
[tex]\frac{126+4}{4} = 40[/tex]
[tex]126 + d =160[/tex]
[tex]d = 34[/tex]
please help find them
1 AB
2 BC
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )
Jim has $50 to spend at an office supply store. He wants to buy $1.69 per pen and S5
each note pad. Jim buys pens and a note pad. Write an equation
this dosent make sense
Step-by-step explanation:
.
What is (4x2-9X+1) -(5x2-x-7) written in standard form?
Answer:
(9-9x) - (3-x)
Step-by-step explanation:
(4x2 -9x +1) - (5x2 -x -7)
4x2+1= 9. 5x2-7= 3
(9-9x) - ( 3-x)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°
Answer:
14
Step-by-step explanation:
5x-3+ x+9 + 90= 180
6x+ 96=180
6x=180-96
6x=84
x=84/6
x=14
the price of a toy usually costing £50 is increased to £65.
Answer:
I am assuming you want the percentage increase in the price.
Step-by-step explanation:
The percentage increase is ( 15/50) * 100
= 15 * 2
= 30%.
square root of 9 multiplied by square root of 180
Answer:
18√5
Step-by-step explanation:
√9×√180
from √9 we get 3 cause 3² is 9.
from 180 we get 6√5 because √36×5 is √180.
we took 36 out because it gives us a whole number if we square root it.
So √36×5 is 6√5 , because the square root of 36 is 6
then we multiply 3 and 6√5.
3×6 is 18 so we put 18 and put the √5 behind it.
7(m+5) = 21
What is it?
Answer:
m = -2
Step-by-step explanation:
Look at the attached image. First, we divide both sides by 7 to get m + 5 = 3. Now, we subtract 5 from both sides to get m = -2. Now, we substitute m for -2. As we can see, it checks out.
The solution of expression is,
m = - 2
We have to give that,
An expression to solve,
7 (m + 5) = 21
Now, simplify the expression as,
7 (m + 5) = 21
Divide both sides by 7,
m + 5 = 21 / 7
m + 5 = 3
Subtract 5 both side,
m = 3 - 5
m = - 2
So, The solution is, m = - 2
Learn more about the equation visit:
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I need help I don’t get it
You need to show the question to get the answer. All you can see is the lines...
Which of the tables represents a function? (5 points) Table A: Input 3 3 2 Output 1 4 3 Table B: Input 2 5 2 Output 7 6 9 Table C: Input 1 7 7Output 5 2 3 Table D: Input 3 1 8Output 4 5 5 a. Table A b. Table B c. Table C d. Table D
Answer:
The answer is Table B. Because only table B. doesn't have repeating x or domain.
write the equation of a line that has a m= -5 and passes through the point (-1,4)
write a paragraph describing the steps taken to find the linear equation and include the answer the the question in your response.
at least 6 sentences plz
Answer:
We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.
y - 4 = -5(x + 1)
y - 4 = -5x -5
y - 4 + 4 = -5x - 5 + 4
y = -5x - 1
Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.
Step-by-step explanation:
Anyone able to help ?
Answer:
Step-by-step explanation:
Infinity solutions
Help I will mark brainliestttt
Answer:
c
Step-by-step explanation:
its c
A watch was on sale for 70% off. The sale price is $60. What was the original price?
Answer:
78 dollars
Step-by-step explanation:
What is the area of the triangle?
7
5
4
The double number line shows how far a hummingbird can fly in 1 second -
Complete the table to show the same information as the double number line
Answer:
1
3
130
Step-by-step explanation:
as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1
using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.
13/1=39/x
this is 13x=39
x=3 seconds
use the same ratio to find distance
13/1=x/10
13=x/10
130=x
Can yall find EB? Round the the nearest hundred. AD=8.98, AB=6.47. ABCD is a rectangle
Answer:
5.53408980773 or 5.534
Step-by-step explanation:
Let's take AD as a, AB as b and DB as c
a2+b2 =c2
(8.98)2 + (6.47) 2 =c2
80.6404 + 41.8609 =c2
The number 2 is square . take it like square
122.5049 =c2
[tex] \sqrt{c \: \: } = \sqrt{122.5049 } [/tex]
C=11.0681796155
this valse is DB but the question say EB so dividend by 2 because rectangle diagonal are equal
So EB =11.0681796155/2
EB =5.5340890773
Find the sum of the squares of 3, 2, 1, and -1
Answer:
15
Step-by-step explanation:
3 x 3=9
2 x 2=4
1x1=1
-1x-1=1
9+4+1+1=15
Answer:
15
Step-by-step explanation:
The square of 3 is 3 times 3, so 9.
2 times 2 is 4.
1 times 1 is 1.
-1 times -1 is 1, because the negative cancels out.
So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.
Derek has $54 to spend for Christmas presents. He wants to spend an equal amount of his money on his Mom, Dad, and 2 sisters. How much can he spend on each family member? (Do it in Long division pls)
Lucas has a goal to practice his violin for 300 minutes per week. How many more minutes does Lucas needs to practice in order to meet his goal ? On Saturday he practice for 45 minutes On Sunday he practice for 50 minutes
Answer:
205 minutes
Step-by-step explanation:
Step one:
given data
We are told that Luca's goal is to practice violin for 300 minutes in a week
He has practiced 45 minutes and 50 minutes for Saturday and Sunday already
that is in all, 45+50= 95minutes
Required
The remaining minutes of practice
Step two:
the deficit in practice is
300-95= 205 minutes
if you increase an amount by 3 percent what is the single multiplyer
Answer:
1.03% is the answer
Step-by-step explanation:
the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with
Answer:
it started off with 7 members
(read the whole explanation)
Step-by-step explanation:
Question: the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with.
If the chess club accepts 5 each week and they had 6 members after 6 weeks you should multiply 5x6=30. We don't know when the chess club started.. it could be 6 or 7 weeks ago and I'm pretty sure we all know that 7x5=35. but it only says 6 weeks ago so the answer is 7,
hope this helps!!!!
¿Qué es una semirrecta numérica?
Answer:
La respuesta está abajo
Step-by-step explanation:
Un rayo numérico es una línea con un extremo. Un rayo comienza en un punto dado y se va en una dirección determinada para siempre, hasta el infinito. El punto donde comienza el rayo se llama el punto final.
por favor marca me brainliest con la corona
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 of gallons of water left, how much water did he use for lettuce?
Answer:
he used 3\4 im guessing
Step-by-step explanation:
Answer:
Around 7/8 of a gallon
Step-by-step explanation:
PLS HEEELP!! I need this answerd as quick as possible
Answer:
i think its the 2nd one
Step-by-step explanation:
Answer:
What is the file? I don't know what the file is because they dont work for me.
Step-by-step explanation:
2.5×10^3 times what number is equal to 5×10^6?
Answer:
2.5x10^3= 2,500
5x10^6= 5,000,000
Step-by-step explanation:
Here is a great trick that I always keep in mind whenever you are squaring 10 you add that many zeros for example.
10^4= 10000 (there are 4 zeros).
Which value is not equivalent 0.37 0.370 37/100
Зу – х = -5
-7х + 4 = –18
Solve each system of equation using elimination
Answer:
(1)xy=-5-3
-8ans
Step-by-step explanation:
(2) -3x =-18
-15ans
Which expressions have a value of 49 when w = 4? Choose the correct answers and show your work.
A) 3w2+ 25
B) 7(w2- 9)
C) w3/8+ 41
Answer:
Step-by-step explanation:
Help ill mark u brainliest
Answer:
m∠ONB = 81°
Step-by-step explanation:
If angle MNJ and angle ONB are congruent and MNJ is 81 degrees and OJ is a straight line then ONB should also be 81 degrees in which the other side is 99 degrees.
A forest covers 68,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
544 acres
Step-by-step explanation:
There is 100% in a whole.
1% is 1/100th of the whole, or 0.01 of it. We get this because 1/100 = 1/100 = 0.01
Similarly, 0.8/100 = 0.008. We then multiply the decimal by the total to get
(0.008) ( 68000) = 544 acres