Answer:
40 and 32
Step-by-step explanation:
This is a linear systems equation problem.
a + b = 72
a = b - 8
Use substitution. Substitute b-8 for a in a+b=72
b-8+b=72
2b-8=72
add 8 to both sides
2b=80 (divide both sides by 2)
b = 40
Plug the value of b into the a=b-8
a=40-8
a=32
Check: 40 + 32 = 72 So the two integers are 40 and 32
Write an equivalent expression by combining like terms. (4/5x+3)-(1/4x-1)
Answer:
11/20x + 4
Step-by-step explanation:
Well you can jsut solve it normally following the order of operations.
So first you can distribute -(1/4x-1) which turns into 1/4x+1
4/5x+3+1/4x+1 combine like terms and you’d hey 11/20x +4
The hypotenuse of an isosceles right triangle is 4cm longer than either of its legs note that an isosceles right triangle is a right triangle who’s legs are the same length find the exact length of its legs and it’s hypotenuse
Legs ? Cm
Hypotenuse? Cm
Answer:
Step-by-step explanation:
let the side of triangle=x
hypotenuse=x+4
(x+4)^2=x^2+x^2
x^2+8x+16=2x^2
x^2-8x-16=0
x²-8x=16
x²-8x+16=16+16=32
(x-4)²=16×2=(4√2)²
x-4=±4√2
x=4±4√2
either x=4+4√2=4(1+√2)
or x=4-4√2=-4(√2-1)<0 (rejected)
leg x=4(1+√2)≈4(1+1.414)≈4×2.414≈8.828≈8.83 cm
hypotenuse≈8.83+4=12.83 cm
Like always, I need help :(
Answer:
The equation of the line is: x = 0
MATHEMATICS Proportion Х Y Z 145) If line XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ? A) 12 in B) 24in C) 48in D) 72 in 147) If line YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY? A) 3ft B) 6ft C) 9ft D) 12ft 148) If line YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY? A) 3in B) 27in C) 2ft D) 18in
Answer:
145. YZ = 48 in
147. XY = 6 ft
148: XY = 3 in
Step-by-step explanation:
In each case, multiply the given proportion by a value that makes it match the given information about the segments.
145)XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ?
Multiply the proportion by 24 in:
XY : YZ = (24 in)(1) : (24 in)(2) = 24 in : 48 in
YZ = 48 in . . . (C)
__
147)YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY?
Multiply the proportion by 3 ft:
XY : YZ = (3 ft)(2) : (3 ft)(3) = 6 ft : 9 ft
XY = 6 ft . . . (B)
__
148)YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY?
Multiply the proportion by 3 in:
XY : YZ = (3 in)(1) : (3 in)(4) = 3 in : 12 in = 3 in : 1 ft
XY = 3 in . . . (A)
Choose the missing step in the given solution to the
inequality -X - 10 > 14 + 2x.
_X
- 10 > 14 + 2x
-3X - 10 > 14
x<-8
0 -3x > 24
0 -3x > 4
0-3x>.
- 4
0 -3x < 24
Answer:
Step-by-step explanation:
Find the area of grass
Answer:
125m²Step-by-step explanation:
find the area of the green rectangle and remove the area of the yellow rectangle
(12 - 2) * (16 - 2) - (6 * 2.5) =
10 * 14 - 15 =
140 - 15 = 125m²
40 O Wide Mouth You MRW
Solve Multi-step problems Outlevel
Question 2
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls
as Jasmine sold.
How many rolls of wrapping paper did they sell altogether?
Rolls of wrapping paper sold
Carly
Jasmine
?
rolls of wrapping paper
Answer:
54 wrapping papers sold
Due tomorrow: Answer question 19 with steps
Refer to the attachment
in a box of chocolate 1/5 are plain chocolate 1/3 are white chocolate the rest are white
...ok and?
finish the question
Answer:
Step-by-step explanation:
[tex]\frac{1}{5}+\frac{1}{3}+x=1[/tex]
[tex]\frac{3}{15}+\frac{5}{15}+x=\frac{1.15}{15}[/tex]
[tex]\frac{8}{15} + x=\frac{15}{15}[/tex]
[tex]\frac{8}{15} - \frac{8}{15} + x=\frac{15}{15}-\frac{8}{15}[/tex]
[tex]x=\frac{7}{15}[/tex]
I think you are missing the question but I bet you are looking for the rest of chocolate in the box.
Plz help guys!!!!!!!!
Answer:
3
2
Step-by-step explanation:
what’s the correct answer i will give brainlist
The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7
Number of cards from previous card = 7
Number of cards per cardstock purchased = 10
Let :
Number of cardstocks purchased = x
Total Number cards made = y
The total number of cards made, y can be expressed thus :
(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards
This means :
y = 10x + 7
Therefore, the required equation is y = 10x + 7
Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?
Answer:
1/2
Step-by-step explanation:
there is a 50 50 chance that somebody is male or female
-2(2v + 11) + 1 =-5(9v – 4)
Answer:
v=1
Step-by-step explanation:
-2(2v + 11) + 1 =-5(9v – 4)
Distribute the -2 and -5.
-4v-22+1=-45v+20
Calculate the sum.
-4v-21=-45v+20
Move the variable to the left-hand side and change the sign.
-4v-21+45v=20
Move the constant to the right-hand side and change the sign.
-4v+45v=20+21
Collect like terms.
41v=20+21
Add the numbers.
41v=41
Divide both sides by 41
v=1
Hope this helps :)
Answer:
v = -1/49
Step-by-step explanation:
distribute
-4v - 22 + 1 = 5(9v-4)
add the numbers -21 + 1 = -21
distribute the other parenthesis
-4v - 21 = 45v -20
add 21 to both sides to get v by itself
-4v - 21 + 21 = 45v + 20 + 21
-4v = 45v + 1
substract 45 v on both side now
-4v - 45v = 45v + 1 - 45v
simplify
-49v = 1
divide -49 on both side
v = -1 / 49
When asked a certain question in a poll, 72% of the people polled answered yes. If 56 people did not answer yes to that question, what is the total number of people who were polled?
Answer:
i think its 200
Answer:
200people
Step-by-step explanation:
28 percent=56people100=?100 multiplied by 56=5600 5600 divide by 28=200Beth drops a bouncy ball, which bounces back up again. The graph 'below shows the
beginning path of the ball.
Answer:
Step-by-step explanation: its a
3/8 is found between which pair of fractions on a number line
Answer:
2/8 and 4/8
Step-by-step explanation:
Answer:
2/8,4/8 or 1/4,1/2
Step-by-step explanation:
3+1=4 3-1=2
2/8=1/4
4/8=1/2
Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 34-5=-2N+ 10? Select two options Ox= 5 0 -15 = -5x 0 5x = 15 0 -15 = 5x Ox = -5
Answer:
-15 = -5x
5x = 15
Step-by-step explanation:
at does the point (2, 1.5) represent in this context?
In what context? Do you mean calculus If you are talking about graphing on a graph plane it would be the two accelerates on the x axis so (left or right) and then the 1.5 accelerates on the y axis so 1.5 on the y axis would be one and halfway to the 2 mark on the y axis so in the middle of 1 to 2 on the y axis the y axis goes (up and down)
what is the completely factored form of x^4 - 4x^2 + 8x^3 - 32x + 12x^2 - 48? be sure to show all work.
Answer:
x^4 + 8x^2 + 8x^3 - 32x - 48
Step-by-step explanation:
You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2
There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48
Answer:
x^4 + 8 x^3 + 8 x^2 - 32 x - 48
Hope This Helps!!!
An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
13,200
26,400
39,600
79,200
158,400
Answer:
B) 26,400
An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
13,200
26,400
39,600
79,200
158,400
26400 yards of cable is used.
the answer is B) 26,400
What is unit conversion?
Unit conversion is the process of changing a physical quantity from one unit of measurement to another. For example, converting kilometers to miles, Celsius to Fahrenheit, or liters to gallons. The process involves multiplying or dividing the original measurement by a conversion factor, which is a ratio of equivalent units
To convert miles to yards, we need to multiply by the conversion factor of 1 mile = 1760 yards.
15 miles * 1760 yards/mile = 26,400 yards
So, the electrician will use 26,400 yards of cable.
Hence, 26400 yards of cable is used.
the answer is B) 26,400
To learn more about the unit conversion, visit:
https://brainly.com/question/97386
#SPJ1
Gauge Think! Think! Think! Direction: Choose the letter of the correct answer. Write your answer on a separate sheet of paper. 1. Which of the following decimal is greater than 0.721? A. 0.129 B. 0.192 C. 0.712 D. 0.921 2. Which of the following is correct? A. 0.69 > 0.69 B. 0.013 < 0.31 C. 0.005 = 0.05 D. 0.306 > 0.36 3. How does 6 in 0.2645 compared with 6 in 0.2465? A. 6 in 0.2645 is more B. 6 in 0.2465 is more C. 6 in 0.2645 is less D. They are equal 4. Which set of decimals show from least to greatest? A. 0.01,0.042, 0.087.0.06 B. 0.002, 0.03, 0.85, 0.13 C. 0.006, 0.023, 0.438, 0.9 D. 0.42, 0.1, 0.253, 0.341 5. Which set of decimals show from greatest to least? A. 0.51,0.072, 0.187, .0.06 B. 0.2, 0.103, 0.05, 0.03 C. 0.106, 0.053, 0.238, 0.9 D. 0.82, 0.11, 0.853, 0.041 PLEASE ANWER IT CORRECTLY PLEASE PLEASE PLEASE
Answer:
1. D
2. B
3. The six in the first one is in the tenths place, the second is in the thousandths. But the answer is A.
4. 5, 0.9, 0.85, 0.438, 0.42, 0.341, 0.253, 0.13, 0.1, 0.087, 0.042, 0.03, 0.023, 0.01, 0.006, 0.002, 0 Sorry, I did greatest to least on accident.
5. 0.9, 0.853, 0.82, 0.51, 0.238, 0.2, 0.187, 0.11, 0.106, 0.103, 0.072, 0.053, 0.05, 0.03 greatest to least.
Uhm, sorry if I ordered some wrong on accident.
Dita adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What is the percentage of milk in the resulting mixture?
SHOW YOUR WORK!
Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.
The resulting mixture is 19% milkReasons:
The known quantities are;
The volume of milk Dita adds to an cup of coffee = 18 oz
The percentage of milk in the cup of coffee = 10%
Required:
The percentage milk in the resulting mixture.
Solution:
Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz
The total amount of milk in the resulting mixture = 2 oz + 1.8 oz = 3.8 oz
Volume of the resulting mixture = 2 oz + 18 oz = 20 oz
The percentage of milk in the resulting mixture is therefore;
[tex]\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%[/tex]
The resulting mixture is 19% milk.
Learn more here:
https://brainly.com/question/22599498
When a system of two linear inequalities in two variables has
boundary lines that are parallel, then this is NOT possible:
A) the entire plane is a solution
B) there is a single point of solution
C) there is a region with an infinite number of points of solution
D) no solution
Answer:
B) there is a single point of solution
Step-by-step explanation:
If the boundary lines are parallel, the solution space will be outside the lines (no solution), inside the lines (infinite solutions), or on one side of the lines (infinite solutions.) It is not possible for two half-planes with parallel edges to overlap at a single point.
A population of bacteria is initially 2,000. After three hours the population is 1,000.
Assuming this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. Report numbers as fractions when necessary, or if using decimals, round to four decimal places.
The population starts at 2000, so a=2000.
We also know that the population in 3 hours is 1000, so we can setup the equation:
2000 b^3 = 1000
This gets us:
b^3 = 1/2
And taking the cube root of both sides gives us:
b ≈ 0.7937005259841
Rounding that to 4 places, we have:
f(t) = 2000 (0.7937)^t
Find x, y, and z such that x³+y³+z³
Answer:
x= -y-z
y= -x-z
z= -x-y
i think this is it
Answer:
complete the question pls
Step-by-step explanation:
i will be asking multiple questions (true or false ) you can just tell me which ones are true and which ones are false
4 is 10 times as much as 0.4 0.05 is 10 times as much as 50 0.3 is 10 times as much as
3 0.09 is 1/10 of 0.9 6 is 1/10 of 0.6 80 is 1/10 of 0.08
True, False, False, True, False, False
There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 212.5 grams of this cereal.
Answer: 131.76 calories
Step-by-step explanation:
110 calories x
----------------- = ----------------
177.4 grams 212.5 grams
cross multiply and divide
(110x212.5)
23, 375 / 177.4 grams
x= 131.76
What is sin 60°?
WA :)
an
2
90
30
5
A. I
оо
B.
-IS
o
C. 1
D.
O
E. 5
o
OF
PREVIOUS
Answer:
F
Step-by-step explanation:
If you look at that triangle and do trigonometry with sin, you would have to do opposite/hypotenuse. This would be (square root of 3)/2
how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?
ASAP!!! PLS
Answer:
22.5
Step-by-step explanation:
50%of5+20%=22.5
50/100×5=2.5
2.5+20=22.5%
Answer:
3 gallons
Step-by-step explanation:
10=100 percent
10/5 =2
5-2=3
3 gallons
a
Use a trigonometric equation to
determine the leg of this triangle.
10 m
[?] m
30°
Answer:
use pythogoras therom to solve it and its say to find base its formula is h square - psquare