The right answer is Option B: 9/26
Step-by-step explanation:
Given equations are;
[tex]2x+\frac{4}{3}y=1[/tex] Eqn 1
[tex]y-\frac{9}{13}x=9[/tex] Eqn 2
For eliminating x, we will make the variables equal with opposite signs.
In Eqn 1;
We will multiply Eqn 1 by 9/26 to get +9/13x.
[tex]\frac{9}{26}(2x+\frac{4}{3}y=1)\\\\\frac{9}{13}x+\frac{6}{13}y=\frac{9}{26}[/tex]
Therefore;
We will multiply Eqn 1 by 9/26.
The right answer is Option B: 9/26
How do you know if two triangles are congruent
Answer:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
A circle has its center at the center of a square with 10 inch sides. Find the area of the square not covered by the circle to the nearest 10th
Assuming that the diameter of the circle is the square's side, then we have
Area of square: S1=10×10=100in²
Radius of circle: r=10/2=5in
Area of circle: S2=pi×r²=3.14×5²=78.54in²
Remaining area: S1-S2=100-78.54=21.46in².
Rounding to the nearest tenth: 21.5in².
Answer: 21.5in²
The area of the square not covered by the circle is calculated by first determining the areas of the square and the circle, and then subtracting the latter from the former. The area of the square is 100 square inches and the area of the circle is approximately 78.5 square inches. Subtracting these gives approximately 21.5 square inches.
Explanation:First, let's find the area of the square. Since all sides are equal in a square, the area can be found using the formula side ⨉ side. In our case, the sides of the square are 10 inches, so the area is 10 inches ⨉ 10 inches = 100 square inches.
Next, we'll need to find the area of the circle. The radius of the circle is equal to half the length of a side of the square, or 5 inches. Use the formula for area of a circle, which is πr². So the area of the circle is π(5 inches)² = 25π square inches ≈ 78.5 square inches.
To find the area of the square not covered by the circle, simply subtract the area of the circle from the area of the square. 100 square inches - 78.5 square inches = 21.5 square inches, thus this is the area of the square not covered by the circle.
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In a game that you are playing, your friends says that she has -6 points“give or take”4 points.You currently have -3 points in the game.can you say who is winning?why or why not? Use a number line to explain.
Answer:
Your are losing
Step-by-step explanation:
-6 + 4 = -2 points
-3 = -3
-2 > -3
Answer:
No
Step-by-step explanation:
She has -6 points,
And you have -3
If she takes points from you:
She has -6+4 = -2
You have-3-4 = -7
She wins
If she gives you 4 points:
She had -6-4 = -10
You have -3+4 = 1
You win
The sum of a number and its square is 182. Find the number.
Answer:
13 and -14 satisfy this condition
Step-by-step explanation:
Let's represent that number as x
and the square of x is x^2
So,
x + x^2 = 182
Subtract 182 from both sides
x + x^2 - 182 = 182 - 182
x + x^2 - 182 = 0
rearrange the quadratic equation
x^2 + x -182 = 0
let's use the quadratic formula
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
a = 1, b = 1, c = -182
[tex]\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}[/tex] or [tex]\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}[/tex]
[tex]\frac{-1+\sqrt{1+728} }{2}[/tex] or [tex]\frac{-1-\sqrt{1+728} }{2}[/tex]
[tex]\frac{-1+\sqrt{729} }{2}[/tex] or [tex]\frac{-1-\sqrt{729} }{2}[/tex]
[tex]\frac{-1+{27} }{2}[/tex] or [tex]\frac{-1-{27} }{2}[/tex]
[tex]\frac{26}{2}[/tex] or [tex]\frac{-28}{2}[/tex]
13 or - 14
Lets check
13 + 13^2 = 13 + 169
= 182
Also,
-14 + (-14^2) = -14 + 196
= 182
Find the output, f , when the output, t , is 7. f=-2t-3
Answer:
-17
Step-by-step explanation:
You replace the t with 7 making the equation , f=-2(7)-3. Using PEMDAS, you solve -2 x 7 making it -14. Finally, subtract -3 from -14 making it -17.
it takes 12 minutes to answer 5 homework questions how many minutes will it take to answer 42 questions?
Answer:
100.8 minuts
Step-by-step explanation:
12 question = 5 min
1 question = 12/5 min
42 question = (12/5) * 42 min
= 100.8 min
Answer:
100.8 minutes
Step-by-step explanation:
proportion
12 over 5 = x over 42
12*42=504
504/5
100.8 minutes
150% of 48 as a percent
Answer:
72, 150%
Step-by-step explanation:
The answer for this is 72.
Change 150 to 1.50 and multiply it by 48
what does 2 (x+6) + 3x + 4 =
Answer:
5x +16
Step-by-step explanation:
2 (x+6) + 3x + 4
Distribute the 2
2x+12 +3x +4
Combine like terms
2x+3x +12 +4
5x +16
An architect build a scale model of a sports stadium that was 12 inches. The actual height of the building was 180 feet.
Which scale did the architect use to create the scale of the sports stadium?
Answer:
Scale did the architect use to create the scale of the sports stadium is 1 inch = 15 feet.
Step-by-step explanation:
Given : An architect build a scale model of a sports stadium that was 12 inches. The actual height of the building was 180 feet.
To find : Which scale did the architect use to create the scale of the sports stadium?
Solution :
An architect build a scale model of a sports stadium that was 12 inches.
The actual height of the building was 180 feet.
The scale is determined by number of feet used in 1 inch.
i.e. For 12 inches it is 180 feet
For 1 inch = [tex]\frac{180}{12}[/tex] feet
1 inch = 15 feet
Therefore, scale did the architect use to create the scale of the sports stadium is 1 inch = 15 feet.
cos ■ = 7/14
A. 39°
B. 30°
C. 26.57°
D. 60°
Option D:
[tex]$\cos60^\circ=\frac{7}{14}[/tex]
Solution:
Given data:
[tex]$\cos -- = \frac{7}{14}[/tex]
Let the unknown degree be x.
To find the degree x:
[tex]$\cos x = \frac{7}{14}[/tex]
Cancel the common factor 7 in the numerator and denominator.
[tex]$\cos x = \frac{1}{2}[/tex]
Using trigonometry basic formula,
we know that [tex]\cos60^\circ = \frac{1}{2}[/tex].
So, x = 60°.
The unknown degree measure is 60°.
[tex]$\cos 60^\circ= \frac{7}{14}[/tex]
Hence option D is the correct answer.
Candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive?
Answer: Candidate B has 69,500 votes!
Step-by-step explanation:
one easy way to solve this is by dividing 109,000 in half and that gives us
54500 and 54500 but since Candidate C has 15000 less
we subtract 15000 from candidate c and add 15000 from candidate b
which gives us
Candidate C= 39,500 votes
Candidate B= 69,500 votes
please give brainliest!
You have a field 250 feet wide and 325 feet long planted in strawberries. How many acres of strawberries are in this field?
Answer: 81,250
Step-by-step explanation: find the area. Multiply the length x width. I got 81,250 by multiplying these numbers.
A field that is 250 feet wide and 325 feet long, can be calculated as 81,250 square feet. Since one acre equals 43,560 square feet, this field's size is approximately 1.87 acres.
Explanation:The question is about converting a field measure in feet into acres. Given that the field is 250 feet wide and 325 feet long, the total area in feet is found by multiplying these two dimensions. Thus, the total area is 250 * 325 = 81,250 square feet.
Now, to convert this into acres, we should know that 1 acre is equal to 43,560 square feet. So, to calculate how many acres is 81,250 square feet, we divide 81,250 by 43,560.
This gives 1.87 acres (rounded to two decimal places). So, this field's size, planted with strawberries, is approximately 1.87 acres.
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Circle O has a circumference of 36π. What is the length of the radius, r? 6cm 18cm 36cm 72cm
Answer:
The exact radius is 17.99 but I guess you can round it to get 18cm.
Step-by-step explanation:
Next time if you still get these questions, you can use a online calculator to help you!
Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the drop-down menus to complete the statements below about the paddleboard rentals.
Solution:
Given that,
Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours
Each paddleboard rental costs $3.75 per hour
So there are two persons = mike and his friend
1 hour = $ 3.75
Therefore, for 3 hours:
[tex]3 \times 3.75 = 11.25[/tex]
Thus for two person:
11.25 + 11.25 = 22.5
Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours
Remaining amount = 25 - 22.5 = 2.5
Thus Mike has $ 2.5 remaining after rental
Answer:
.
Step-by-step explanation:
The sum of two numbers is 11 and their product is 18. Find the numbers.
Answer: the numbers are 9 and 2
Step-by-step explanation:
Let the numbers be a and b
a + b = 11.........equation 1
ab = 18.......equation 2
Multiply equation 1 by a
a ^2 + ab = 11a.......equation 3
Substitute the value of ab from equation 2 into equation 3
a ^2 + 18 = 11a
a^2 - 11a + 18 = 0
(a-9) x (a-2) = 0
If a = 9, then b =2
I hope this helps, please mark as brainliest answer.
On which of the following lines does the point 7, 1 lie?
A. Y-5x = 4
B. Y = x- 10
C. Y = -4x +3
D. Y= -x +8
Answer:
the answer is D
Step-by-step explanation:
x is 7 and y is 1 . just replace the x and y with 7 and 1 , so its 1= -7+8
Answer: y=-x+8
Step-by-step explanation: When 1 is plugged in as x for another equation, y is not equal to 7. However, when you plug 1 in here, you get y equal to 7. Therefore, this is the solution.
PLLSS ANSWER QUICKLY I WILL GIVE BRAINLIEST!
Question 4(Multiple Choice Worth 5 points) (05.02 LC) Which of the following possibilities will form a triangle? Side = 15 cm, side = 7 cm, side = 7 cm Side = 15 cm, side = 7 cm, side = 9 cm Side = 14 cm, side = 6 cm, side = 7 cm Side = 14 cm, side = 6 cm, side = 8 cm
Answer:
Option C is the right answer
Step-by-step explanation:
the correct answer would be Side = 14cm, side = 6 cm, side = 7cm
Write an equation in slope intercept form for the line with slope 1/5 and y intercept -2
Equation is y = 1/5x - 2
Step-by-step explanation:
Step 1: Given slope, m = 1/5 and y-intercept, b = -2. Write the equation in slope intercept form which is y = mx + b⇒ y = 1/5x + (-2)
∴ y = 1/5x - 2
Can you help me with this problem
7y-2(8y+1)=4
Answer:
y=-2/3
7y-16y-2=4
7y-16y=6
-9y=6
-y=6/9
simplify
y=-2/3
2. A ride in a taxicab costs $2.50 for the first mile and $1.50
for each additional mile or part of a mile.Write an equation
and make a graph that represents the total cost.
The equation for this graph would be Y=1.50x+2.50.
What is the equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
How to solve?
Because 1.50 is the price per mile and 2.50 is the starting price for the ride.
The equation for this graph would be Y=1.50x+2.50.
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two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:
Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50)
Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50)
What is Jo’s margin of error, rounded to the nearest whole number? (The formula is
10
20
50
529
Answer:
Required margin of error = 20
Step-by-step explanation:
Required margin of error = 20
so , option (2) is the correct answer.
Explanation:
Values are given as,
we will have to need confidence level to calculate margin of error so ,we assume 95% confidence level .
z = 1.96 (critical value of 95%)
sample size n = 25
standard deviation = 50
Using the formula
Margin of error E = z∗(σ/ n )
putting the values
1.96∗(50/ 25)
= 19.6
=20
Required margin of error : E = 20
Answer: Jo's margin of error is M = 20
Step-by-step explanation:
The margin of error can be calculated as:
M = z*σ/√n
where:
z depends on the confidence interval with we are working, let's use 95%, so z = 1.96
σ = standard deviation = 50
n = number of the sample.
So for Jo we have:
M = 1.96*50/√25 = 1.96*50/5 = 1.96*10 = 19.6
So if we round it to the nearest whole number, we should round up, and we get:
M = 20
What is the area around the fence if it’s 6 around and 7 length
Answer:
42
Step-by-step explanation:
The formula for area is length multiplied by width
7 X 6 = 42
hope this helps :)
what is the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake.
Answer: M=3.7
Step-by-step explanation:
(5xy+x-2) + (x-2xy+9)
Write a real-world
solved by first adding 24 and 36 and then dividing by 1/4. Find the solution
to your problem and explain your answer.
Answer:
Problem: Jamie was driving for 24 miles in the first hour and 36 miles is the second hour. But, she stopped at a gas station 1/4 of the total drive. Find how far the gas station is from her start.
Answer:
24 + 36 = 50
50 * 1/4 = 50/4
50/4 = 12.5
Explanation: The gas station is 12.5 miles from her start to a 50 mile journey. The gas station was 1/4 of the total drive which was 50 miles. 1/4 of 50 is 12.5
1. The total area of all the faces of a three-dimensional figure is
called the
Answer:
Surface Area
Step-by-step explanation:
Its's basically the total area of all faces in the three-dimensional figure.
Final answer:
The total area of all the faces of a three-dimensional figure is known as the surface area. It can be calculated differently based on the shape, like multiplying one face's area by six for a cube or summing up the areas of each face for a more complex shape.
Explanation:
The total area of all the faces of a three-dimensional figure is called the surface area. There are various methods to calculate the surface area depending on the shape of the three-dimensional object. For example, a cube has six faces, and the surface area can be found by calculating the area of one face and then multiplying by six. For more complex shapes, one might need to calculate the area of each face separately and sum them up.
For instance, taking a cube, if each face has an area of 4 square inches, then the total surface area of the cube would be 4 square inches multiplied by 6 faces, resulting in 24 square inches. If we then divide this cube into smaller cubes, the surface area-to-volume ratio of these smaller cubes would increase. When dealing with areas or volumes of objects with complex shapes, often, they're idealized to reflect simpler shapes like a cube or a sphere.
5,680 divided by 80 with the remainder division by 2-digits
The quotient of 5,680 divided by 80 with a remainder division by a 2-digit number is 71 with a remainder of 1 and 15/25.
Explanation:When dividing 5,680 by 80, we get a quotient of 71 and a remainder of 40. Now, we divide the remainder by a 2-digit number. Let's say the 2-digit number is 25. When we divide 40 by 25, we get a quotient of 1 and a remainder of 15. Therefore, the final quotient is 71 with a remainder of 1 and 15/25.
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Bob has to pack 192 boxes. This morning, he packed 84 boxes in 3.5 hours. If Bob continues at the same rate, how long will it take him to pack the remaining boxes?
1.365
Step-by-step explanation:
Answer:
A. 4.5
Step-by-step explanation:
sorry if its wrong it was correct for me
Patrick received a $98 gift card for a coffee shop. Patrick used it to buy coffee that cost $1.64 per pound. Patrick has $81.68 left on the gift card how many pounds of coffee did Patrick by? Round to the nearest hundredth.
Answer:
9.95 pounds
Step-by-step explanation:
(98 - 81.68) ÷ 1.64
= 9.95
adam wants to know the mean number of minutes students commuting back and forth to school each day. he selects a sample of 5 students using the random digit table beginning on line 12 shown.
Line 12: 29621 66583 62966 12468 20345 14015 04014 35713 03980 03024
A. What is the sample size?
B. Adam assigns each student a two digit number beginning with 12 and ending with 30. Which students are chosen for the sample?
Answer:
A. 5
B. 29, 16, 24, 20, and 15
Step-by-step explanation:
The sample size is 5.
Each student is assigned a two digit number, so split the random digit table into two digit numbers.
29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24
Identify the first 5 unique numbers between 12 and 30.
29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24