Question 2 (1 point)
(05.05 MC)
A system of equations is shown below:
x+y=3
2x - y = 6
The x-coordinate of the solution to this system of equations is
(3,0)
Step-by-step explanation:
Different - add
2x - y = 6
+
x + y. = 3
3x = 9
÷3
x = 3
Substitute x = 3 into one of the equation:
x + y = 3
3 + y = 3
-3
y = 0
Solution is (3,0)
Hope this helps!
Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?
18/6 = 108
18 + 18 + 18 + 18 + 18 + 18 = 108
18 * 6 = 108
6 * 18 = 108
Answer:
18/6=108
Step-by-step explanation:
cause it adds up to 3 and not to 108
Charlotte has a large container of only red beads.
Harry has a large container of only blue beads.
Charlotte and Harry swap 40 beads.
This means that Charlotte gets 40 of Harry's blue beads in her container and Harry gets 40 of Charlotte's red beads in his container.
Charlotte now randomly picks 90 beads from her container and notices that 9 are blue.
Harry now randomly picks 80 beads from his container and notices that 70 are blue.
If all the beads were placed in one container, work out an estimate for the ratio of red to blue beads.
Simplify your answer fully.
Using it's concept, it is fond that the estimate for the ratio of red to blue beads is of 91:79.
What is the ratio between two amounts?The ratio between two amounts a and b is given by a divided by b, that is:
[tex]\frac{a}{b} = a:b[/tex]
In this problem, considering Charlotte's and Harry's beads, there are 81 + 10 = 91 red beads and 9 + 70 = 79 blue beads, hence the ratio is given by:
91:79.
More can be learned about ratios at https://brainly.com/question/19905617
Guys please helpppp!!!!
An equilateral triangle (all 3 sides are the same length) sits on top of a square. They both share the side AB
Answer:
6x +15
Step-by-step explanation:
To solve for the perimeter of the triangle, we need to find the length of each side.
(a +b)² = a² +2ab +b²
Let's factorise the expression for the area of the square:
Area of square
= 4x² +20x +25
= (2x +5)²
Since area of square= side ×side, length of a side of the square is the square root of its area. We are also given that the side of the square is AB.
(AB)²= (2x +5)²
Taking the square root of both sides:
AB= 2x +5
The perimeter is the sum of the lengths of all of its sides.
Perimeter of the triangle
= 3(AB)
= 3(2x +5)
= 6x +15
The length of a rectangle is 5m longer than the width. The perimeter of the rectangle is 82m. Find the length and width of the rectangle.
Answer:
length: 23 mwidth: 18 mStep-by-step explanation:
The given dimensions are related by the perimeter formula for a rectangle.
Let w represent the width in meters. Then (w+5) represents the length. These values can be put into the perimeter formula, which can be solved to find w.
P = 2(L +W)
82 = 2((w+5) +w) . . . . fill in for L and W
41 = 2w +5 . . . . . . . . divide by 2
36 = 2w . . . . . . . . . subtract 5
18 = w . . . . . . . . . divide by 2. This is the width.
w+5 = 18+5 = 23 . . . . find the length
The length of the rectangle is 23 m; the width is 18 m.
There are 90 students in Jeanette's grade. 63 of the students are enrolled in health. What percentage of the students are enrolled in health?
Answer=70
Step-by-step explanationTotal number of jeanette's grade =90
Number of students enrolled in health =63
Therefore. 63/90×100
=0.7×100
=70%
I don't understand this
the box is in the shape of a cuboid.
height: 60cm
length: 100cm
width: 40cm
Joh wants to fill the box with grit.
A bag of grit costs £2.50
there are 8000cm^3 of grit in a bag.
Joh has £70 to spend on the grit.
Does John have enough money to buy all the grit he needs to fill the box completely?
We calculate the volume of the cuboid :
60 x 100 x 40 = 240000 cm^3
If every bag has 8000 cm^3 of grit, he will need 240000 : 8000 = 30 bags
Every bag cost £2.50, so he will need £2.50 x 30 = £75
Since he only has £70, he doesn't have enough money to buy the grit.
Gina wilson homework I need help fast it’s due tomorrow
ok so for whatw e do is mulitpy the numbers
In a survey of 200 people who visited China, 85% visited the Great Wall. Of those who visited the Great Wall, 30% also visited the Chengdu Panda Center. Of those who did not visit the Great Wall, 80% visited the Panda Center.Enter the correct answers in the boxes to complete the two-way frequency table.
Based on the percentages given on those who visited the Great Wall, the relative frequencies will show the following?
People who visited Great Wall - 170 people.People who visited the Chengdu Panda Center - 51 people.People who visited Panda Center - 24 people.How many people visited the Great Wall?The number of people who went to Great Wall was:
= 200 x 85%
= 170 people
How many people visited the Chengdu Panda Center?= Number of people who went to Great Wall x 30%
= 170 x 30%
= 51 people
How many people visited Panda Center?= (1 - 85%) x Number of people surveyed x 80%
= 0.15 x 200 x 80%
= 24 people
Find out more on relative frequencies at https://brainly.com/question/3857836.
Given the diagram, which theorem would you use to find AD?
8.4
D
B
8.4
20
A) Perpendicular Bisector Theorem
B) Converse of the Perpendicular Bisector Theorem
Angle Bisector Theorem
D) Converse of the Angle Bisector Theorem
ОА
OB
Ос
OD
Answer:
B
AD will be 20
Please mark me brainliestthere is alot more but i really need help
Really need help on this
Answer:
The function is t(n) = 3n - 9
What is the m∡U in the figure shown?
Answer:
m<U=70
Step-by-step explanation:
we know that the measure of the out side angle is equal to the measure of the 2 inside angles, so 120-50=70
Answer:
∠ U = 70°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ RVU is an exterior angle of the triangle , then
∠ U + 50° = 120° ( subtract 50° from both sides )
∠ U = 70°
please answer the following and give a good explanation
Answer:
x = 8
z = 15
y = 118°
Step-by-step explanation:
First, we know that these are similar. That means that if we know which angles correspond to each other, those are equal, and the sides that correspond to each other have a common ratio. I went ahead and rotated PQRS so that it visually aligns with WXYZ -- that image is attached. We can do this because similar shapes must have the same angles, so aligning the angles works here. Using that, we can see that, based on the angles, QR matches up with XY, WZ matches up with PS, and so on.
We can then say that there is a common ratio between the corresponding sides.
WZ/PS = XW/PQ = ZY/RS = 9/6 = 12/x = z/10
9/6 simplifies to 3/2, so we have
3/2 = 12/x
multiply both sides by x to no longer have it as a denominator
3 * x / 2 = 12
multiply both sides by 2 and divide both sides by 3 to isolate x
x = 8
3/2 = z / 10
multiply both sides by 10 to isolate z
z = 15
In the corresponding figures, we can see that y matches up with ∠WXY. Thus, the two angles are equal and y = 118°
A computer system increased from $2500 to $2650. What is the Percent increase?
Answer:
2650 - 2500 = $150 or 2500 ÷ 2650 × 100% = 94.33
Answer:
explanation :profit=S.P-C.P×100%
C.P
$2650-2500×100
$2500
150
2500 cross of the two zeros
15
250 let's divide
=0.6×100
60%
I hope it's correct..
pliz follow
Select the expressions that are equivalent to 8(w+2).
Jessica’s bike tire has a radius of 8 inches. Which equation could be used to find the circumference of the tire in inches?
The equation that could be used to find the circumference of the tire is P = 2πr and the circumference of the tire is 50.24 inche
What is circumference?A circumference is a total distance around a plane shape. It is also called perimeter
The equation for finding the circumference of a circle is given below
Formula:
P = 2πr............... Equation 1Where:
P = Circumference of the circleπ = Pie r = radius of the circleFrom the question,
Given:
r = 8 inchesπ = 3.14Substitute these values into equation 1
P = 2(3.14)(8)P = 50.24 inchesHence, The equation that could be used to find the circumference of the tire is P = 2πr and the circumference of the tire is 50.24 inches.
Learn more about circumference here: https://brainly.com/question/15673093
i need help, with an step by step explanation please if possible!!
M(x,y):-
[tex]\\ \rm\Rrightarrow \left(\dfrac{2+4}{2},\dfrac{5+9}{2}\right)[/tex]
[tex]\\ \rm\Rrightarrow \left(\dfrac{6}{2},\dfrac{14}{2}\right)[/tex]
[tex]\\ \rm\Rrightarrow (3,7)[/tex]
Equation of L
y=2x+1Slope=m=2Slope of the perpendicular line=-1/2
Equation of the perpendicular line
[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]
[tex]\\ \rm\Rrightarrow y-7=-1/2(x-3)[/tex]
[tex]\\ \rm\Rrightarrow 7-y=1/2(x-3)[/tex]
[tex]\\ \rm\Rrightarrow 14-2y=x-3[/tex]
[tex]\\ \rm\Rrightarrow x+2y-17=0[/tex]
Find are the area of the 9 by 16 rectangle and add it to
the area of the triangle with base = 16 and height = 5.
Answer:
9×16=144
16×5=. 80
.: 144+80 =224
Step-by-step explanation:
The correct answer is 224
Let f be defined as shown. Which statement is
true?
Answer:
exist:12703
Step-by-step explanation:
does not exist :8913
The critic rating and audience score for 8 movies are shown in the table.
Critic Rating 72 80 65 23 28 60 41 35
Audience Score 64 92 90 48 55 70 44 80
An owner of a movie theater is investigating whether critic rating can be used to predict the mean audience score of movies. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in audience score for each 1 point increase in the critic rating?
a: A one-sample tt-test for means
b: A linear regression tt-interval for slope
c: A two-sample tt-interval for a difference between means
d: A matched-pairs tt-interval for a mean difference
e: A two-sample zz-interval for a difference between proportions
a car drives 5 1/2 miles in 1/12 hour. what is the speed of the ca in miles per hour.
Answer:
average speed 3.67mph
Step-by-step explanation:
What is the gradient of 2y=4x+6
Answer:
The answer is 2.Divide each side by 2
Simplify : y = 2x + 3
Replace x = 1 -> y = 5
We will draw a line that goes through the point 1 on the x axis, and point 5 on the y axis (cant draw right now, sorry xd)
(Now, you can find the gradient by simply forming a right triangle with the hypotenuse being the line itself, but i will use the slope to save time)
We will select 2 points : (1;0) and (0;5)
Replace it into m = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{5-0}{0-1} = -5[/tex]
The temperature during the day was 17°. If the temperature fell
21° at night, what was the temperature at night?
You can earn coins
Answer:
-4
Step-by-step explanation:
you subtract 21 from 17 and you get -4
A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 10 days and the other pipe can fill it in 25 days. However, if no sewage is added, waste removal will empty the pool in 39 days. How long (in days) will it take the two inlet pipes to fill an empty pool?
Answer:
35 days because waste removals will empty the pool in 39 days
help asap!!!!!!!!!!!
Answer:
Step-by-step explanation:
ABC is a right angled triangle with shorter sides 6cm and 8cm K,L,M are the midpoints of the triangle ABC what is the perimeter of the triangle K,L,M
Answer: 12
Step-by-step explanation:
What is the reciprocal of an undefined slope?
Answer:
The reciprocal of an undefined slope is 0.
What speed will a fan turn if the drive motor is turning at 1250 RPM, the motor pulley is 4 inches in diameter, and the fan pulley is 8 inches in diameter
The speed the fan will turn is 625 rpm
Linear speedSince they fan and the pulley ahve the same linear speed v = rω where
r = radius of pulley and ω = angular speed.Then
r₁ω₁ = r₂ω₂ where
r₁ = radius of fan pulley = 8 in/2 = 4 in, ω₁ = angular speed of fan pulley, r₂ = radius of motor pulley = 4 in/2 = 2 in, ω₂ = angular speed of motor pulley = 1250 rpm Angular speed of fan pulleyMaking ω₁ subject of the formula, we have
ω₁ = r₂ω₂/r₁
Substituting the values of the variables into the equation, we have
ω₁ = r₂ω₂/r₁
ω₁ = 2 in × 1250 rpm/4 in
ω₁ = 1250 rpm/2
ω₁ = 625 rpm
So, the speed the fan will turn is 625 rpm
Learn more about angular speed of pulley here:
https://brainly.com/question/2923987
Melissa ran 6. 4 miles north, 2. 75 miles west, and 2 1/3 miles south. How far did she run?
Answer:
About 11.48
Step-by-step explanation:
6.4+2.75+2 1/3
6.4+2.75=9.15
2 1/3=2.33
9.15+2.33=11.48