4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer
Step-by-step explanation:
let the angles be ' 7x, 8x and 5x'
as we know, the sum of all the angles of a triangle is 180 degree, so,
7x + 8x + 5x = 180
20 = 180
x = 180/2
x = 90 degrees
7x = 7 × 90 = 630 degree
8x = 8 × 90 = 720 degrees
5x = 5 × 90 = 540 degrees
therefore, 5x is the smallest degrees
helppppppppppppppppppppppppppp
Find the solution of the system of equations.
6x – 3y = -30
3x – 6y = 12
Answer:
Step-by-step explanation:
6x – 3y = -30
3x – 6y = 12
Multiply the top equation by 2 and write the bottom equation under it.
12x - 6y = - 60
3x - 6y = 12 Subtract
9x = - 72 Divide by 9
x = - 72/9
x = - 8
6x - 3y = - 30
6*-8 - 3y = -30
-48 - 3y = - 30 Add 48 to both sides.
-3y = - 30 + 48
-3y = 18 Divide by -3
y = -18/-3
y = -6
One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answer:
Step-by-step explanation:
20 + g = 25
-20 -20
g = 5
Natalie bought a 3 - pack of erasers for $1.47. How much did each eraser cost?
Answer:
Each eraser costs $0.49
Step-by-step explanation:
If three erasers cost $1.47, and you have to find the value of one eraser, all you have to do is divide $1.47 by three.
1.47 ÷ 3 = 0.49
To prove this, you can multiple 0.49 by three.
0.49 × 3 = 1.47
Therefore, your answer will be $0.49 per eraser.
(Remember to add the money symbol because some hardcore teachers won't accept the answer without it, or will deduct points. The symbol looks like this: $)
Answer:
$0.49
Explanation:
1.47 divided by 3 is 0.49.
°ω°
:⊃
°∨°
plsss help me solve question 2
An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was interested in investigating the proportion of the new cars that experienced a mechanical problem within the first 5,000 miles driven. a) A list of the names and addresses of all customers who bought the new cars is available. Each customer from a simple random sample of 1,000 customers who bought one of the new cars was asked whether they experienced any mechanical problems within the first 5,000 miles driven. 400 customers from the sample reported a problem. Of the 400 customers who reported a problem, 140 customers, or 32.5%, reported a problem specifically with the power door locks. Explain why 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven.
Answer:
The reason that 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven is that 0.35 does not represent the sample proportion.
The correct sample proportion is 0.14 (140/1,000) and not 0.35 (140/400). It is this that can be used to estimate the population proportion and not 0.35.
Step-by-step explanation:
a) Data and Calculations:
New cars sold by the automobile manufacturer = 30,000
Number of customers that the 30,000 new cars were sold to = 30,000
Simple random sample = 1,000 customers
Number of customers from the SRS that reported a problem = 400
This is equal to 40% of the sample (400/1,000 * 100)
Proportion of customers who reported a problem (specifically) with the power door locks = 140/400 = 0.35
Proportion of customers out of the sample that reported specifically a problem with the power door locks = 140/1000 = 0.14.
Amelia pays $24 to rent a boat at the lake for up to six hours she constructs the inequality and number line below to represent the number of hours X she can use the boat?
What lines are perpendicular to 3x+6y=5
Answer:
u means that to make the equations
Answer:
the line on the point 1.2 and 4.5
Step-by-step explanation:
I need help does anyone know the slope intercept for this one?
Answer:
(0,2)
Step-by-step explanation:
The slope-intercept (aka y-intercept) is where the line crosses the y-axis. And the slope-intercept is at (0,2)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
liters = 5,000 milliliters
Answer:
5 liters
Step-by-step explanation:
1,000 milliliters= 1 liter.
5,000/1,000 is 5 liters
Answer:
5 liters
Step-by-step explanation:
but not sure about answer
⅛ ÷ 2
Please help! I need to remember this!
Answer:
1/16
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
For this type of problem, I do KCF (Keep, Change Flip)
⅛ ÷ 2
Keep the fraction (⅛)
Change the sign to a multiplication (×)
Flip the "2" to its reciprocal ([tex]\frac{1}{2}[/tex])
Now we have a new expression
[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{2}[/tex]
Now we multiply from across
The numerator × Numerator
The denominator × denominator
1 × 1 = 1
8 × 2 = 16
Our answer will be....
[tex]\frac{1}{16}[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The ratio of girls to boys in Lizas classroom is 5 to 4 how manny girls are in her classroom if there is a total of 27 students.
Add the ratios: 5 + 4 = 9
Divide total students by 9:
27/9 =3
Girls are listed first so the 5 part of the ratio is girls.
Multiply 5 by the 3 from above:
5 x 3 = 15
There are 15 girls.
Answer:
There are 12 girls in the classroom because if you take 4+4+4=12 and you do the same with 5 so 5+5+5=15 then add them together you get 27. So, therefore, your answer would be 12
Step-by-step explanation:
If you pay $1.49 a pound for chicken and 2/3 of the weight is bone. How much are you paying per pound of meat?
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Answer:
$4.47 per pound
Step-by-step explanation:
Your cost is ...
$1.49/(1/3 lb) = $1.49×(3/1)/lb = $4.47/lb
Can anyone help me pls
Answer: likely
Step-by-step explanation:
Which graph represents y = Two-thirdsx + 3?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (4, 0).
On a coordinate plane, a line goes through points (negative 3, 1) and (0, 3).
On a coordinate plane, a line goes through points (0, 3) and (3, 1).
Answer:
c edge 2021;)
Step-by-step explanation:
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly correctly without making mistakes
Answer:
648 cups, 3 fluid ounces
Step-by-step explanation:
You need to know that 1 cup = 8 fluid ounces (fl. oz).
convert to fl. oz:
1296 cups = 10368 fl.oz.
total fl.oz. = 10368+6 = 10374
10374 / 2 = 5187 fl.oz.
= 648 cups and 3 fluid ounces
A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.
Answer:
29.92 miles per hour
87,089.76 metric tonnes
Step-by-step explanation:
Given that the top speed is 26 knots, recall that
1 knot = 1.15078 miles per hour
Hence,
26 knots = 26 * 1.15078
= 29.92028 miles per hour
To 2 decimal places
=29.92 miles per hour
Given that the boat has a displacement of approximately 96000 tons, in metric tonnes...
Recall that
1 ton = 0.907185 metric tonnes
As such,
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
solve for e
3 + 8e + 5 = -3e +13 + 10e
Help someone please
Answer:
a) 2/3
b) 1/9
c) 52/99
d) 2/11
e) 743/999
f) 29/111
Step-by-step explanation:
Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.
Then simplify (if possible).
a) 6/9 = 2/3
b) 1/9
c) 52/99
d) 18/99=2/11
e) 743/999
f) 261/999=29/111
Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
Answer:
The answer is y = 4x - 1.
Step-by-step explanation:
☆The equation we'll be using: y = mx + b
☆Since we already have the slope. we have to find the y-intercept.
☆[tex]y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } [/tex]
☆Using the information we gathered and was given, we just to put them together.
☆[tex]y = 4x - 1[/tex]
Answer:
y=4x-1
Step-by-step explanation:
I need help plss dont lieplss and thank you
Answer:
B or C
hope this helps :)
John has two different sugar syrups. Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water. How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
Answer:
Volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts .
Step-by-step explanation:
Syrup A : 2 parts sugar , 8 parts of water .
Total = 10 parts
Syrup B : 3 parts sugar , 5 parts of water .
Total = 8 parts .
Mixture required 280 quarts , 3 parts sugar , 7 parts water
In 280 quarts , sugar = 280 x 3 / ( 3 + 7 )
sugar = 84 parts
Let volume of syrup A be x , volume of syrup B = 280 - x
sugar A = 2 x / 10 = 0.2 x
sugar B = 3 ( 280 - x ) / 8 = .375 ( 280 - x )
Total sugar = .2 x + .375 ( 280 - x ) = 84 .
.2 x + 105 - .375 x = 84
105 - 84 = .375 x - .2 x = .175 x
.175 x = 21
x = 21 / .175 = 120
Volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts .
John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
Given that,
John has two different sugar syrups.
Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water.
We have to determine,
How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
According to the question,
Syrup A: 2 parts sugar, 8 parts of water.
Total number of parts = 10 parts
Syrup B : 3 parts sugar, 5 parts of water.
The total number of parts = 8 parts.
The mixture required 280 quarts, 3 parts sugar, 7 parts water,
In 280 quarts, parts of sugar are,
[tex]= \dfrac{280 \times 3 }{ ( 3 + 7 )}\\\\= \dfrac{280 \times 3}{10}\\\\= 84[/tex]
Let the volume of syrup A be x,
And the volume of syrup B be 280 - x
[tex]Sugar\ A = \dfrac{2x}{10} \\\\Sugar \ A = 0.2 x[/tex]
[tex]Sugar \ B = \dfrac{3 ( 280 - x ) }{8 }\\\\Sugar \ B= .375 ( 280 - x )[/tex]
The total amount of sugar is,
[tex]0.2 x + 0.375 ( 280 - x ) = 84 \\\\0.2 x + 105 -0 .375 x = 84\\\\105 - 84 = 0.375 x - 0.2 x = 0.175 x\\\\ 0.175 x = 21\\\\x = \dfrac{21}{0.175}\\\\x = 120[/tex]
Therefore,
The volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts
Hence, John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
For more details, refer to the link.
https://brainly.com/question/11921451
Q. One yard equals three feet. How many
yards are there in 63 feet? Type your
answer in the box
yards.
Answer:
21 yards
Step-by-step explanation:
There will be 21 yards in 63 feet of the measurement.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that one yard is equal to three feet. There are 63 feet of measurement.
The value of 63 feet in yards will be calculated as:-
1 yard = 3 feet
1 feet = 1 / 3 yards
63 feet = ( 63 / 3 ) yards
63 feet = 21 yards
Therefore, there are 21 yards in 63 feet of the measurement.
To know more about an expression follow
https://brainly.com/question/358500
#SPJ2
HOW DO YOU GRAPH USING LINER PROBLEMS
Answer:
You need to plot points onto the graph
Step-by-step explanation:
It takes only 2 points to draw a graph of a straight line. In other words, if we can find two points that satisfy the equation of the line, then the line can be accurately drawn. But it can be more than 2 points as well. IT CANNOT BE 1. Just 1 point can fo anything at all. You cannot make a linear line or a line in general with just one point. You need 2 or more to make a line.
h(x)=4/x-5
What is the domain of h?
Answer:
domain: (-∞, 5)∪(5, ∞)
domain in interval form: {x|x ≠ 5}
Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X
Step-by-step explanation:
a^2 + b^2 = c^2
a = 6
b = x
c = 11
6^2 + b^2 = 11^2
36 + b^2 = 121
b^2 = 121 - 36
b^2 = 85
Find the square root of both sides.
b = 9.22
You deposited $125 in a savings account that earns a simple interest rate of
1.75% per year. You earned a total of $8.75 in interest. For how long was your
money in the account?
9514 1404 393
Answer:
4 years
Step-by-step explanation:
Each year, the interest earned is ...
0.0175 · $125 = $2.1875
Then the time it took to earn $8.75 in interest was ...
$8.75/(2.1875/year) = 4 years
how much is 1/2÷8×57÷13+15
Answer:
Use the BODMAS method and at the end work the fraction left by adding it to 15
My answer was 15.274
The coordinates below are the three vertices of a rectangle. Identify the fourth
coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45