Answer:
Square; x=2; y=1
Step-by-step explanation:
Being that the following quaderlateral has equal sides and angles equal to 90 degrees each, it would be classified as a square.
Now, knowing that they have all equal sides, you could say that
1). 5x-4=3x
as well as
2).2y+4=5y+1
Now, solve for each of the variables:
1). 5x-4=3x
(Minus 3x from both sides and add 4 to both sides)
2x=4
(Divide by 2)
x=2
2). 2y+4=5y+1
(Minus 5y from both sides and minus 4 to both sides)
-3y=-3
(Divide by -3)
y=1
Hope it helped! (:
Brainliest and 15 points
The work of a student to solve a set of equations is shown below:
Equation 1: x + 2y = 10
Equation 2: 2x + 5y = 15
Step 1: −2(x + 2y) = −2(10)
2x + 5y = 15
Step 2: −2x − 4y = −10
2x + 5y = 15
Step 3: 1y = 5
Step 4: x + 2(1) = 10
Step 5: x = 8
In which step did the student first make an error?
Step 1
Step 2
Step 3
Step 4
Answer:
Step 2 has error and step 4 has error.
Step-by-step explanation:
Here we can see that elimination method is applied to solve the system of equations for which -2 is multiplied both sides of equation first
-2(x+2y)=-2(10 which is correct
but in step 2
left side is -2x-4y and the right side is -10 which has to be -20 which makes this step wrong and this is the error made by student.
in Step 4 also ,value of the y has to be 5 but student plugged y =1 which is also error by student.
Correct solution is
-2x-4y= -20
2x+ 5y= 15
on adding ,we get
y = -5
plugging y =5 in equation x+2y= 10 ,we get x+2(-5) =10 ,we get x = 20
therefore (20,-5) is the solution
Answer:
step 2
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER!!!!!
LP is a radius of the circle. Is KL tangent to the circle? Note the figure may not be drawn to scale.
12-ounce can of cola for 60 cent
Answer:
1/5
Step-by-step explanation:
What's the question being asked here?
Have an amazing day :)
-yO mAmA
Pls, help!! I will give Brainliest to the first answer that is correct!
Answer:
1. 1/3 pi r^2 h
2. pi r^2 h
3. 1/3 B h
4. lwh
5. Bh
Match the shape with the correct formula for finding the volume :-
SHAPES :-
ConeCylinder Triangular PrismRectangular Prism PyramidFORMULAE :-
[tex] \sf lwh[/tex] [tex] \sf Bh[/tex] [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] [tex] \sf \pi {r}^{2} h[/tex] [tex] \sf \frac{1}{3} Bh[/tex] ____________________Solution :-Given Information :- Shapes Formulae to calculate Volume To Do :-Match the shape with the correct formula for finding the volume. Calculation :-Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________Final Answers :- Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex] ____________________What is the surface area of the solid?
Answer:
120
Step-by-step explanation:
1. Hannah bought a package of 12 pens.
She took of the pens to school. How
many pens did Hannah take to school?
Answer:
12
Step-by-step explanation:
If Hannah bought 12 pens and brought them to school, then she would have brought 12 pens to use during school.
Tamara earned an a on 5/8 of her spelling test of those spelling says she earned a perfect score on 1/5 of them find what fraction of cameras total spelling test did she on a perfect score show your work
Answer:
she had a perfect score in 1/8 of all tests
she had a perfect score in 4 tests
Step-by-step explanation:
Tamara earned an A in 5/8 of all the tests she took.
In 1/5 of the those tests she got an A, she had a perfect score.
1/5 of 5/8 is 1/5 * 5/8 which equals 5/40 which can be reduced to 1/8.
That means that in 1/8 of all tests she took she got a perfect score.
She took a total of 32 spelling tests.
1/8 of 32 = 1/8 * 32 = 32/8 = 4
Answer:
she had a perfect score in 1/8 of all tests
she had a perfect score in 4 tests
it takes 7 Carpenter 7 hours to make 7 chairs. How long would it take 100 Carpenters to make 100 chairs?
15 hours
100 hours
10 hours
7 hours
Answer:
100 hours
Step-by-step explanation:
it's very simple just reduce it to 1 carpenter 1 hour and 1 chair
If 15% of a number is 30 and 40% of the same number is 80, find 25% of that number.
Answer:
50
Step-by-step explanation:
let the number be x
15% of x= 0.15x
0.15x=30
(divide both sides by 0.15)
x= 200
25% of 200 = 25/100 *200
= 50
A shopper at a clearance store is pleased to discover some microscopes on sale for $24 dollars each. The original price tags read $40. What percent is the discount?
Help 10pts.
What is the surface area of the triangular prism?
A)
175 cm2
B)
196 cm2
216 cm?
D)
222 cm2
Answer:
D)222 cm²
Step-by-step explanation:
(4)(3)+15(4+5+5)=222cm²
hope it helps
have a great day :)
Can some on please explain
Answer:
ORange =1 -2
Step-by-step explanation:
Step-by-step explanation:
From the given figure , we can see that there are two angles whose measures are x and 2x - 30°. If we notice they are the angles on the same segment . ( Draw a line through the end points of the two lines , and they will be on the same chord) . And we know that angles of the same segment are equal . Therefore ,
[tex]\tt\to x = 2x - 30^o \\\\\tt\to 2x - x = 30^o \\\\\tt\to\boxed{\orange{\tt x = 30^o }}[/tex]
This is our required answer.
An angle measure 8 less than the measure of its supplementary angle what is the measure of each angle
Answer:
94° and 86°
Step-by-step explanation:
'x-8' = smaller angle
'x' = larger angle
x - 8 + x = 180
2x = 188
x = 94
94 - 8 = 86
(b) 3, 3, 5 and
HOMEWORK: Complete the activity in your classwork e
the questions before you consult the memorandum att
ACTIVITY 1:
x
.) Find all the prime factors of each of the following
a) 825
(b) 999
-) 538
(d) 113
Answer:
a 3,5,5,11
b 3,3,37,3
- 2,269
d 113, as it is a prime factor
Meagan has a bag with 8 red cubes, 3 yellow cubes, and 5 green cubes. What is the probability of
hat she will pick a red cube, keep it, and then pick another red cube?
A.8/17
B.7/30
C.7/32
D.8/18
Answer:
B. 7/30
Step-by-step explanation:
1st time to pick red is 8/16 8 red cubes out of 16 are red
2nd time to pick red is 7/15 7 red cubes out of 15 are red,
*if one red is picked already
8/16 x 7/15 = 7/30
At Wegmans a 12 pack of paper towels costs $15.72. At Tops a 10 pack of paper towels cost $13.35. Which store has the better buy? What is the difference in unit prices?
Answer:
Wegman's, roughly 3 cents
Step-by-step explanation:
Divide the price by the number of paper towels in the pack to get the unit price.
$15.72/12= $1.31
$13.35/10= $1.335, round since it's money, $1.34
$1.34-$1.31= $0.03 or 3 cents
Wegmans has the better buy, as their unit price is lower.
The difference in unit prices between the two stores is $0.03 per paper towel.
To determine which store has the better buy, we need to compare the unit prices of paper towels at both Wegmans and Tops.
The unit price is the cost per paper towel.
For Wegmans:
Cost of 12 pack of paper towels = $15.72
Number of paper towels in the pack = 12
Unit price at Wegmans = Total cost / Number of paper towels
Unit price at Wegmans = $15.72 / 12 = $1.31 per paper towel
For Tops:
Cost of 10 pack of paper towels = $13.35
Number of paper towels in the pack = 10
Unit price at Tops = Total cost / Number of paper towels
Unit price at Tops = $13.35 / 10 = $1.34 per paper towel
Now, we compare the unit prices:
At Wegmans, the unit price is $1.31 per paper towel.
At Tops, the unit price is $1.34 per paper towel.
The store with the lower unit price has the better buy.
In this case, Wegmans has the better buy, as their unit price is lower.
To find the difference in unit prices:
Difference in unit prices = Unit price at Tops - Unit price at Wegmans
Difference in unit prices = $1.34 - $1.31 = $0.03 per paper towel
So, the difference in unit prices between the two stores is $0.03 per paper towel.
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Find the area. Show your work.
HEY YALL CAN U HELP PLZ THANK U
Answer: D. 2
Step-by-step explanation:
Given
y-1=2(x--2)
Change signs
y-1=2(x+2)
Expand parenthesis
y-1=2x+4
Add 1 on both sides to isolate "y"
y-1+1=2x+4+1
y=2x+4
So the slope is 2
Hope this helps!! :)
Please let me know if you have any questions
Tamir bought 2 1/2 pounds of fish at $5.50 per pound, and two bananas at the price shown.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2.5 x 5.5 = 13.75
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the radius is 5
both triangles are congruent because of the SAS theorem.
x = 2 because corresponding parts of congruent tringles are congruent.
Simplify. (Use the form a + bi.)
3 − 6i
−7i
Answer:
3 - 13i
Step-by-step explanation:
3 - 6i - 7i
3 - 13i
How many yards are equal to 144 inches? (15 points)
Select one:
a. 4 yards
b. 12 yards
c. 36 yards
d. 5,184 yards
Answer:
A- 4 yards
Step-by-step explanation:
Hope this helps!
Have a nice day <3
After changing the unit of 144 inches into yards the number equivalent to 144 inches is 4 yards. Hence option (a) is true.
Given that,
Change the number 144 inches into yards.
Used the concept of measurement unit which stated that,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Since we know that,
1 yards = 36 inches
1 inch = 1/36 yards
So, we can change the number 144 inches into yards,
1 inch = 1/36 yards
144 inches = 144/36 yards
= 4 yards
Therefore, 144 inches is equivalent to 4 inches.
Option (a) is true.
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2) 4x - y = 7
-4x + y = -7
I need helpppp
Answer:
(0,-7)
Step-by-step explanation:
4x - y = 7
-y = -4x + 7
y = 4x - 7
-4x + (4x - 7) = -7
-4x + 4x - 7 = -7
x = 0
4(0) - y = 7
-y = 7
y = -7
Write an
equation in slope-intercept form of the line that
passes through the given points: (-2, 4) & (3,-1).
Step-by-step explanation:
So our m = (4+1)/(3+2) = 1
4 = -2 + b
b = 6
y = x + 6
PLEASE HELP I NEED QUALITY ANSWERS AS WELL WILL MARK BRAINLIEST!!!
True or False: The area of a circle with diameter d = 2r = 10 is greater than the area of an ellipse with major axis 2a = 10. Explain your answer. Note: the area of an ellipse is calculated with the formula = (with ‘a’ the length of the semi-major axis and ‘b’ the length of the semiminor axis). Explain why as well.
Answer:
True
Step-by-step explanation:
So the radius would be 5 (as you times it by 2 to get 10)
Therefore
2a=10 is the same as what the circle with diameter d=2r=10
Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°. or
N 30°E. If they both hike 4 miles/hour, approximately how far apart are they after one hour?
N
Cyndi
?
4 miles
120
WE
>E
Miranda 4 miles
S
ОА
4.3 miles
OB. .
6.9 miles
OC. 8.0 miles
OD 5.7 miles
Answer:
6.9 Miles
Step-by-step explanation:
I took the test and got it right,
They are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°
From the isosceles triangle:
h = 4sin30
h = 4(1/2)
h = 2 miles
From Pythagoras theorem:
x² = 4² - h² = 4² - 2²
x = √12
x = 3.46 miles
Total distance = 2×3.46 = 6.9 miles
Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.
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Write an equation for each problem. Then solve.
Round to the nearest tenth if necessary.
What percent of 90 is 126?
Answer: 71.43 i think
Step-by-step explanation:
Activity 2 Compute for the following: Speed; Distance, Time
1. A car travels 300 kom in 6 hours. What is the average speed of the car in km/h?
Given
Solution
Car travels in 300 kom ( distance) in
6 hours (time)
2. What is the speed of a jet plane that flies 8100 kon in 9 hours? (in km/h)
Given:
Solution
Jet travels 8100 km (distance)in
9 hours (time)
3. A storm is moving toward your house at a speed of 20 kmh.it is now 60 km away from your house. In what time will the storm reach your house?
Given:
Solution:
Storm moving at 20 km/h (speed) at
60 kun (distance)
Speed and direction
In describing the motion of an object, we do not just describe
Answer:
1. 50 km/h
2. 900 km/h
3. 3 hours
Step-by-step explanation:
1. The distance the car travels, Δd = 300 km
For how long it takes the car to travel the 300 km, Δt = 6 hours
Average speed, [tex]\overline v[/tex], is given as follows;
[tex]\overline v = \dfrac{The \ total \ distance }{The \ total \ time \ it \ takes } = \dfrac{\Delta d}{\Delta t}[/tex],
[tex]\therefore \overline v = \dfrac{300 \ km}{6 \ hours} = 50 \ \dfrac{km}{hour}[/tex]
The average speed of the car, [tex]\overline v[/tex] = 50 km/h
2. The distance the jet plane flies, d = 8,100 km
For how long it takes the the jet plane to fly the 8,100 km, t = 9 hours
The speed, v, of the jet plane is given as follows;
[tex]Speed, \ v = \dfrac{Distance}{Time} = \dfrac{d}{t}[/tex]
[tex]v = \dfrac{The\ distance \ the \ jet plane \ flies}{The \ time \ it \ takes \ to \ fly \ thart \ distance } = \dfrac{d}{t }[/tex],
[tex]\therefore v = \dfrac{8,100 \ km}{9 \ hours} = 900 \ \dfrac{km}{hour}[/tex]
The speed of the jet plane, v = 900 km/h
3. The speed of the storm, v = 20 km/h
The distance of the storm from the house, d = 60 km
The time 't' it takes the storm to reach the house is given as follows;
[tex]Speed, \ v = \dfrac{d}{t}[/tex]
Therefore, by cross multiplying and dividing by 'v', we get;
[tex]Time, \ t = \dfrac{d}{v}[/tex]
Plugging in the known values of 'd' and 'v' gives;
[tex]Time, \ t = \dfrac{60 \ km}{20 \ \dfrac{km}{hour} } = 3 \ km \times \dfrac{hour}{km} = 3 \ hours[/tex]
The time it takes the storm to reach the house, t = 3 hours.
help me with this problem please
Write the expression: twice a number increased by seven
Answer:
x2+7
Step-by-step explanation: