9514 1404 393
Answer:
15 short answer (3 points)55 multiple choice (1 point)Step-by-step explanation:
Your system of equations will be ...
x + y = 70 . . . . . . . there are 70 total questions
x + 3y = 100 . . . . . there are 100 total points
__
We can use the first equation to write an expression for x that can be substituted into the second.
x = 70 -y
(70 -y) +3y = 100
70 +2y = 100 . . . . . . collect terms
2y = 30 . . . . . . . . . . subtract 70
y = 15 . . . . . . . . . . . divide by 2
x = 70 -15 = 55
The test has 15 short answer questions and 55 multiple-choice.
The length of rectangle is 3 cm longer than its breadth. If the perimeter of the rectangle is 54 cm, find its length,in cm
Answer:
Length=15cm
Hope this answer is right!!
Step-by-step explanation:
Length be 3 cm longer than the breadth.
So, x=y+3
Perimeter = 2(x+y)54
So, x+y=27 =>x=15
x-y=3 =>x=12
So, length is 15 cm
PLEASE HELP!!!!! very urgent asap!!! need help please
Answer:
easy
Step-by-step explanation:
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line containing the longer diagonal of a quadrilateral whose vertices are A(2, 2), B(-2,-2), C(1, -1), and D16, 4).
9514 1404 393
Answer:
x -3y = 4
Step-by-step explanation:
A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)
We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
For points (-2, -2) and (16, 4), this equation is ...
(4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)
6x -18y = -12 +36
Dividing by the greatest common factor (6), we have the standard-form equation ...
x -3y = 4
Solve for p in the literal equation 2p + 38 = 9.
p =
Answer:
p = -29/2
Step-by-step explanation:
2p + 38 = 9
Subtract 38 from each side
2p + 38-38 = 9-38
2p = -29
divide by 2
2p/2 = -29/2
p = -29/2
Answer:
p=-14.5
Step-by-step explanation:
2p + 38 = 9
-38 -38
2p = -29
[tex]\sqrt{2}[/tex] [tex]\sqrt{2}[/tex]
p = -14.5
What is the measure of A
Given:
A figure of a triangle.
To find:
The measure of angle A.
Solution:
Label the points in the figure as shown below.
In the below figure,
[tex]\angle ACB\cong \angle DCE[/tex] (Vertically opposite angles)
[tex]m\angle ACB=m\angle DCE[/tex] (Congregant angles)
[tex]m\angle ACB=8x+4[/tex]
Using exterior angle theorem in triangle ABC, we get
[tex]m\angle A+m\angle C=\text{Exterior }m\angle B[/tex]
[tex]m\angle BAC+m\angle ACB=130^\circ[/tex]
[tex](3x-6)+(8x+4)=130^\circ[/tex]
[tex]11x-2=130^\circ[/tex]
Isolate the variable term x.
[tex]11x=130^\circ+2[/tex]
[tex]11x=132^\circ[/tex]
[tex]x=\dfrac{132^\circ}{11}[/tex]
[tex]x=12^\circ[/tex]
Now, the measure of angle A is:
[tex]m\angle A=3x-6[/tex]
[tex]m\angle A=3(12^\circ)-6[/tex]
[tex]m\angle A=36^\circ-6[/tex]
[tex]m\angle A=30^\circ[/tex]
Therefore, the correct option is B.
Find the expression for f(x) that makes the following equation true for all values of x 9^x⋅3^x+2=3^f(x).
Answer:
3x+2
Step-by-step explanation:
khan told me that my explanation
What is the domain to this graph
Answer:
x > 0
Step-by-step explanation:
The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.
help
PLEASE HEPP ME PLEASE
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Height of 1/2 of glass #2
84.8+ 56.5 = 141.41
thus 1/2 of #2 = 70.5
70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)
14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) = .48
total height = 3.48
Find the square root of 75
Answer:
8.66 = 9
Step-by-step explanation:
The square root of 75 is approximately equal to 8.66 but if rounded 9
prt.3 identify the slope
Answer:
m = - 2
Step-by-step explanation:
First coordinate : ( -2 , 9 )
Second coordinate : ( 1 , 3 )
Formulae : m=(y2-y1)/(x2-x1)
Substituting,
m = ( 3 - 9 ) / ( 1 + 2 )
m = - 6 / 3
m = - 2
If this helps you, please mark brainliest!
What is y-10=9(x+8) written in standard form?
Answer:
y - 9x - 82 = 0
Step-by-step explanation:
Given expression;
y - 10 = 9(x + 8)
Find:
Write into standard form
Computation:
Given expression;
⇒ y - 10 = 9(x + 8)
Using BODMAS role
Multiply 9 into (x - 8)
⇒ y - 10 = 9(x) + 9(8)
⇒ y - 10 = 9x + 72
⇒ y - 9x - 10 = 72
⇒ y - 9x = 72 + 10
⇒ y - 9x = 82
⇒ y - 9x - 82 = 0
Standard form of given expression
y - 9x - 82 = 0
In the diagram below, the area of $\triangle BCD$ is 60. What is the length of side $\overline{BC}$?
Area of triangle = 1/2 bh
60 = 1/2 (15) h
8 = h
Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units
96 -60 = triangle BAD area = 36 sq units
The length of side BC in the triangle BCD is 8.
What is an area?An area is the amount of space occupied by a two dimensional shape or figure.
From the diagram:
Area of triangle BCD = (1/2) * base * height = (1/2) * CD * BC
60 = (1/2) * 15 * BC
BC = 8
The length of side BC in the triangle BCD is 8.
Find out more on area at: https://brainly.com/question/25292087
WHAT IS THE VALUE OF ANGLE N?
Answer:
32 degrees
Step-by-step explanation:
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees
The account that appears in the chart of accounts for a merchandising entity but not for a service entity is
1. What percentage of the students like football? a. 25% b. 30% c. 35% d. 40% 2. How many students prefer swimming? lime a. 100 b. 120 C. 130 d. 140 3. How many students do not like volleyball the most? a. 140 b. 240 C. 340 d. 440 4. How many students were asked about their favorite sport? a. 400 b. 300 c. 200 d. 100 pakisagot po please asap po
Step-by-step explanation:
the answer is in the above image
Larry runs a dog-walking service. He charges $5/h plus a flat fee of $6. One day, he earned $16. Determine which
equation represents this.
Answer:
5h+6=16
Step-by-step explanation:
He gets 6 dollars and for every hour he walks he gets 5 dollars so he must of walked dogs for 2 hours and plug it in you get your equation.
Answer:
5(2)+6=16
Step-by-step explanation:
That should be it! Contact me if you need to know why.
Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15
Answer:
this is the answer
Step-by-step explanation:
20:15=20/15=4/3=n
Hence, 1:n=3:4
Linear equation
Gina is 3 years older than Susan. The sum of their ages is 12 years more than Susan’s age. How old is Susan ?
Susan = x
Gina = 3x
Sum of their ages = 12
Susan's age = ?
We can see that,
[tex]2x=10
x = \frac{10}{2}x=
2
10
x = 5x=5[/tex]
Susan is 3 years old.
Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?
Answer:
1
Step-by-step explanation:
that's a very vague question
What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31, ...
Answer:
D
Step-by-step explanation:
The starting term is a1.
That's the very first term.
a1 = - 10
The second term = -17 which means that you added - 7 to - 10.
So d must be - 7
The formula must be
an = a1 + (n - 1)*d
an = -10 + (n - 1)(-7)
You might wonder why it is n - 1. The reason is because the first term is already added on the right side. The -1 means that we have already included the first term.
We should try the formula out to see what it does. Let's find a4
a4 = -10 + (4 -1)*-7
a4 = -10 + 3(-7)
a4 = -10 - 21
a4 = - 31 which is what the question suggests.
The side of a right triangle opposite the right angle.
Answer:
hypotenuse
Step-by-step explanation:
The side opposite the right angle has a special name - hypotenuse
The other two sides of the right triangle are called legs
find the unit rate of computers per day using the graph
Answer:
You need to look at the graph and find an ordered pair. Once you find an ordered pair divide the x value by the y value to get the unit rate.
Step-by-step explanation:
determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )
Answer:245
Step-by-step explanation:
The table shown below represents a function. Which of the following values could not be used to complete the table?
Answer:
-5
Step-by-step explanation:
For a given x value a function can have only one y value.
-5 cannot have both 15 and 20 as the y value
Sesame Company purchased a computer system for $74,000 on January 1, 2018. It was depreciated based on a 7-year life and an $18,000 residual value. On January 1, 2020, Sesame revised these estimates to a total useful life of 4 years and a residual value of $10,000. Sesame's depreciation expense for 2020 equal to:
Answer: $24000
Step-by-step explanation:
Depreciation for 2018 = ($74,000 - $18000) / 7
= $56000/7
= $8000
Depreciation for 2019 = ($74,000 - $18000) / 7
= $56000/7
= $8000
Depreciation up to 2019 = $8000 + $8000 = $16000
Book value at end of 2019 = $74000 - $16000 = $58000
Revised residual value = $10,000
Number of remaining years = 4-2 = 2 years
Depreciation expensed for 2020 will be:
= ($58000 - $10,000) / 2
= $48000/2
= $24000
Solve 5x + 6 = 3x - 10
[tex]\boxed{x\:=\:-8 }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
[tex]5x + 6 = 3x - 10[/tex]
[tex]➺ \: 5x - 3x = - 10 - 6[/tex]
[tex]➺ \: 2x = - 16[/tex]
[tex]➺ \: x = \frac{ - 16}{2} [/tex]
[tex]➺ \: x = - 8[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]5x + 6 = 3x - 10[/tex]
[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]
[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]
[tex]➼ \: - 34 = - 34[/tex]
[tex]➼ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Answer:
-8
Step-by-step explanation:
5x + 6 = 3x − 10
Subtract 3x from both sides:
5x + 6 - 3x = 3x - 10 - 3x
2x + 6 = -10
Subtract from 6 both sides:
2x + 6 - 6 = -10 - 6
2x = -16
Divide both sides by 2:
2x -16
____ = ____
2 2
-16
x = ____ (divide)
2
final answer: x = -8
Emily kicked the ball in 1 straight direction , it went 10 ft reversed direction and come back to her , how is this possible ?
she accidentally kicked a boomerang
she kick it up
it isn't
she kick it left to the wall
Answer:
She kicked it up
Step-by-step explanation:
How is this math?
I believe your answer is B.) She kicked it up. Think about it, if she kicks it straight up, it goes up ten feet, and then it comes back down (Revered direction) to her.
Factor the polynomial 3x^2+6x
Answer:
1. [tex]3x(x+2)[/tex]
Step-by-step explanation:
1: Find the GCF (Greatest Common Factor) of the polynomial
Answer: 3x
Then use it to factor out 3x^2 + 6x
3x(x + 2)
Find the perimeter of the given image. Round your answers to the
nearest tenth.
Answer:
52.6 mm
Step-by-step explanation:
split this figure and form one square and semi circle
for semicircle
radius = 4mm
find diameter
radius = diameter /2
4*2 = diameter
8 mm = diameter
now find perimeter of square
POS = 4l
=4*8
=32 mm
perimeter of semicircle= πr + 2r
=3.14^4 + 2*4
=12.56 + 8
=20.56 mm
area of the figure = perimeter of square + perimeter of semicircle
=32 + 20.56 mm
=52.56 mm
=52.6 mm
split ur figure as shown below
Answer:
28.6 (by the assumption that 4 is the radius)
Step-by-step explanation:
4 is the radius.
Circumference of a circle is πd or 2πr
But its a semi circle so our equation will be 2πr/2 + d
So subsitute, 2* π*4/2 + 8
=8 π/2 + 8
=4 π + 8
=20.6
This is only the circumference of the semi-circle
Now for the square, perimeter is equal to 4*S
so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32
Now add
32+20.6
52.6
Round
52.6
All this is on the assumption that 4 is the radius.
need to find volume, step by step explanation pls
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:
[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]
Where, r is the radius of the hemisphere.
[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]
[tex]V_1=\dfrac{6.28}{3}(216)[/tex]
[tex]V_1=452.16[/tex]
Volume of cylinder is:
[tex]V_2=\pi r^2h[/tex]
Where, r is the radius of the cylinder and h is the height of the cylinder.
[tex]V_2=(3.14)(6)^2(12)[/tex]
[tex]V_2=(3.14)(36)(12)[/tex]
[tex]V_2=1356.48[/tex]
We know that,
[tex]l^2=r^2+h^2[/tex] [Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.
[tex](10)^2=(6)^2+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
Volume of cone is:
[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius of the cone and h is the height of the cone.
[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]
[tex]V_3=\dfrac{25.12}{3}(36)[/tex]
[tex]V_3=301.44[/tex]
Now, the volume of the combined figure is:
[tex]V=V_1+V_2+V_3[/tex]
[tex]V=452.16+1356.48+301.44[/tex]
[tex]V=2110.08[/tex]
Therefore, the volume of the given figure is 2110.08 cubic units.