Answer:
The Value of 9a+6b is 27. and the value of 4x+3y is 30.
Explanation
1)
3a+2b=9
multiplying both by side by 3
or, 3×( 3a+2b)=3×9
Hence, 9a+6b=27
2)
8x+6y=60
Dividing both by side by 2
or, (8x+6y)/2 = 60/2
Hence, 4x+3y=30
Zachary can't believe how bad London's traffic is today. In the past 10 minutes, his cab has barely moved 500 meters! He wonders if walking would have been faster. If Zachary walks at an average speed of 5 kilometers per hour, how many minutes would it take him to walk 500 meters?
Answer:
6 min
Step-by-step explanation:
5 kilometers = 5,000 meters
500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.
What is 0.00245 in standard form
Answer:
2.45*10^-3
Step-by-step explanation:
The number 0.00245 expressed in standard form is; 2.45 × 10-³.
While expressing numbers in standard form;
We must ensure that only one significant digit appears before the decimal point.
As such; we have 2.45 × 10-³.The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.
Read more:
https://brainly.com/question/11288844
!!WILL MARK BRAINLIEST!! Write in slope-intercept form an equation of the line that passes through the given points.
Answer:
y = 1/4x
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (2-1)/(8-4)
= 1/4
The slope intercept form of a line is
y = mx+b
where m is the slope and b is the y intercept
y = 1/4x +b
Substitute a point into the equation
1 = 1/4(4) +b
1 = 1+b
b= 0
y = 1/4x
Carter has 143 songs pn a playlist. He's categorized them in the following manner: 7 classical, 19 rock, 29 hip hop, 16 gospel, 13 pop, 24
country, and 35 jazz. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Plssss help
Answer:
19/ 143
Step-by-step explanation:
There are 19 rock songs out of 143 total
P(rock) = number of rock songs/ total
= 19/ 143
please help me with this question!
A cone-shaped vase has height 28 cm and radius 9 cm. An artist wants to fill the vase with colored sand. The sand comes in small packages, each of which is a cube with side length 3 cm. At most, how many packages of sand can the artist use without making the vase overflow?
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
87.97 packsStep-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
the expression for the volume of a cone is
[tex]v=\frac{1}{3} \pi r^2h[/tex]
Given data
height h= 28cM
radius r= 9cm
substituting the data the data into the expression for the volume we can solve for the volume
[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]
we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm
the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]
now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,
[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]
4. A triangle plotted in the coordinate plane has vertices at (2, 3), (sqrt15,3) and (4,8). Which of the following
is closest to its area?
(1) 4.68
(3) 7.12
(2) 5.93
(4) 8.76
Answer:
Option(1) is the correct answer to the given question .
Step-by-step explanation:
let [tex]x1, y1=\ (2, 3)[/tex]
[tex](x2,y2)=(\sqrt{15,3} \ )[/tex]
[tex](x3,y3)=\ (4,8)[/tex]
Now we know that
[tex]Area=\ \frac{1}{2} |x1(y2-y3)\ + \ x2(y3-y1)\ + x3(y1-y2)[/tex]
Now putting this value in the formula we get
[tex]\frac{1}{2}|2(3-8)\ +\sqrt{15}(8-3)\ * 4(5-3)|[/tex]
[tex]=\ \frac{1}{2}\ *9.3649[/tex]
=4.6824
Therefore option(1) is the correct answer .
Answer:
Option(1) is the correct answer to the given question .
Step-by-step explanation:
what does the symbol mean on the image?
Answer:
Step-by-step explanation:
a) U -----> union
Union of two sets is the set of all distinct elements that are in A or B
A U B = {8 , 14 , 17 , 16, 9 , 15}
∩ ----------> intersection
Intersection of two sets is the set of all distinct elements that are in both A and B
A ∩ B = {14,17}
b) A' = {9 , 15 , 16 , 10 , 11 , 12 , 13}
P(A') = 7/10
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]
The surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a triangular prism, is showing in the picture:
Here a = 25
b = 25
c = 14
h = 44
The surface area of the triangular prism is given by:
[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]
Plug all the values in the formula we get:
A = 3152 square cm
Thus, the surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
Learn more about triangular prisms here:
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1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve?
Is there enough information to enable you to find a solution to your problem?
Analyze the set below and answer the question that follows. (KUM) n (KUL) Which Venn diagram has shading that represents the given set?
Answer:
Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].
Step-by-step explanation:
Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.
Apply this property to simplify the given expression:
[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]
[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.
Which one the following is a polynomial?
A. x^3-4x^2+√x-5
B. √2x^3-2x^2+3x-1
Answer:
B
Step-by-step explanation:
A has a sqrt(x) as a term, which makes it not a polynomial
John would like to go on a ski trip with his friends. In order to go on the trip, John needs to save more
than $350 dollars. Write an inequality that describes, M, the money that John needs to save.
Answer:
$350 < M
Step-by-step explanation:
Connor and Matthew each live in a different city. Each Thursday for ten weeks, they recorded the high temperature. The data below is the high temperature, in Fahrenheit, that they recorded. Connor's data: 50, 51, 50, 66, 60, 66, 71, 70, 72, 65, and 70. Matthew's data: 72, 82, 76, 84, 77, 73, 70, 67, 67, 56, and 65. What is the range of temperatures in Connor's data?
Answer:
22
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range.
Hope this helps,
plx give brainliest
Answer:
For Connor the range is 21
Subtract the highest to the lowest
[tex]71-50=21[/tex]
Hope this helps
If incorrect try 22 :)
Which formula gives the zeros of y = sin(x)?
O pi for any positive integer k
0 pi for any integer k
Kpi
2 for any positive integer k
O
kpi
2 for any integer k
Pls mark brainliest,thankyou.
Answer:
b
Step-by-step explanation:
Which expession is equivalent to 4-(-7)
Answer:
4 + 7 = 11
Step-by-step explanation:
Subtracting a negative means adding.
To subtract a number, add its opposite. The opposite of -7 is 7, so to subtract -7, add 7.
4 - (-7) = 4 + 7 = 11
Answer:
4+7
Step-by-step explanation:
if g(x)= -3 +1, Find x if g(x)= 16
Answer:
X= -5
Step-by-step explanation:
Replace the g(x) with 16.
16= -3x +1
Move -3x on other side.
3x+16=1
Subtract one from both sides.
3x= -15
Divide both sides by 3 to get x by itself.
x= -5
For which table would 70 be the missing value,x?
It is C
The Stone and Pounds
Answer:
c
Step-by-step explanation:
A baker is folding up open-topped boxes to package up her baked goods. She has
flat, rectangular pieces of cardboard that are 10 inches by 6 inches. She wants to
maximize the volume of the box. What size squares should she cut from the corners
of the cardboard?
Answer:
She should cut 1.21 inches (or a square of area 1.46 inch²) from 4 corners to get the maximum volume
Step-by-step explanation:
Length = L = 10 inches
Width = W = 6 inches
Suppose x is cut from the 4 corners to make a box.
Dimensions of the Box:
L= 10 - 2x
W = 6 - 2x
H = x
Volume of the Box:
V = (L)(W)(H)
V = (10-2x)(6-2x)(x)
V = 4x³ - 32x² + 60x
For Maximum value:
[tex]\frac{dV}{dx}=0[/tex]
[tex]\frac{dV}{dx}=\frac{d}{dx}(4x^3-32x+60x)\\\frac{dV}{dx}=12x^2-64x+60\\12x^2-64x+60 = 0[/tex]
The values of x found are:
x= 4.12 , x = 1.21
If we put x= 4.12 in W= 6-2x , the value of width becomes negative, so that is not possible.
We discard 4.12. Now x=1.21
So,
If 1.21 inches are cut from 4 corners, or a square of 1.21*1.21 = 1.46 inch² is cut from 4 corners, we get the maximum value of V
The development of technology _____________.
a. has no effect on the environment
b. depends on people’s needs
c. depends only on our imagination
d. depends on what is learned in school
Answer:
B
Step-by-step explanation:
Please help!
Does this represent a linear function, non-linear function, or no function?
Answer: It would represent a linear function.
Step-by-step explanation:
Every time, the amount of blocks increase by 3, which would be the slope of it were on a graph, and it is constant. It’s not a quadratic nor an exponential function because it is not divided or multiplied at a certain factor, but it just adds by 3 each time.
2 3 x = − 1 2 x + 5 what is x?
Answer: 1/7
Step-by-step explanation:
23x = -12x + 5
23x + 12x = 5
35x = 5
x = 1/7
Find the perimeter of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Rectangle topped by a semicircle A rectangle topped by a semicircle. The rectangle has length of 6 meters and width of 5 meters. The circle has diameter 5 meters. a. 29.85 m b. 18.57 m c. 32.70 m d. 24.85 m
Answer:
l think the answer is C
32.70m
Step-by-step explanation:
we all know that perimeter is the distance round the shape.
so the first step is adding 6 +6 because the other side of the shape is also 6 then add 5 and this equals to 17.
After that we find the area of the circle
which is 3.14*5= 15,7
After getting this value we add it to 17
then we get 32.70m
Answer:C
Step-by-step explanation:
show the relationship between the number of miles and the number of hours in the ratio 12 to 1
Answer:
The person has a speed of 12 miles per hour.
Step-by-step explanation:
The ratio is 12 miles to 1 hour.
This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.
Please help I’m really struggling with this
Answer:
[tex]y=\frac{1}{3} x+4[/tex]
Step-by-step explanation:
A linear equation is written as [tex]y=mx+b[/tex], "m" being the slope and "b" being the y-intercept.
The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.
The y-intercept is where the graph lands on the y-axis, which is 4.
y = 1/3x + 4
Step-by-step explanation:
y = ax + b
b = the intercept with the y-as.
In the graph, the linear function (which is a fancy word for a line), you can see that the incline with the y-axis is at point (0,4).
So, b = 4
a = slope or incline.
To easilly find "a", you can follow these steps:
1. You choose two "nice" poins.
2. Starting on one point of the line, you count how many units you need to go in horizontal direction and in vertical direction to end upon the another point on the line.
3. The fraction a = y units/x units
1. Choose two nice point
Starting from (0,4) and going to the next "nice" point for example (3, 5).
2. Horizontal 3 units to the right, and 1 unit up.
3. a = y units/x units
a = 1/3
y = 1/3x + 4
Directions: Find the value of x.
Answer:
x=14
Step-by-step explanation:
We know JNK+KNI must equal 180 because it is half of a circle.
31+9x+23=180
9x=126
x=14
Constructing a Circle through Three Points Not on a Line
Construct a circle through points
X, Y, and z.
Answer:
the circle has one point even if it is a concentric circle it will have one central point or it needs more collections of the circle at equidistance
Answer:
The circle would look like the image attached
Step-by-step explanation:
please help me i have been trying this for so long.
Answer:
The value of a is 101°, b is 79°, c is 83° and d is 97°
Here are two similar rectangles. Work out the area of the larger rectangle
Answer:
take the picture please or give the measurements of the rectangles
Answer:
see attachment for measurements
Step-by-step explanation:
What is the value of m in the equation 1/2 m - 3/4 n equals 16 when n equals 8
Answer:
m =44
Step-by-step explanation:
1/2 m -3/4 n = 16
Let n =8
1/2 m - 3/4(8) = 16
1/2 m - 6 = 16
Add 6 to each side
1/2 m -6+6 = 16+6
1/2 m = 22
Multiply each side by 2
m = 22*2
m = 44
Answer:c
Step-by-step explanation:
help please thank you
[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
