Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
Alberto’s monthly income is $3,200, hence b = 3200.He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.Then, the percentage is given by:
[tex]P = \frac{1280}{3200} \times 100\% = 40\%[/tex]
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please help its geometry. Solve for x
Answer
the answer is x = 9 root 3
ted collected 22 pounds of aluminum cans, how many ounces of aluminum cans did he collect?
Answer:
352 oz
Step-by-step explanation:
1 lb = 16 oz
22 * 16 = 352
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
Marla is making a tree skirt out of fabric. She is using a pattern based on the circle below. Marla will need to remove a sector of the circular fabric. The sector has a central angle of 60° and the radius of the circle is 3 feet.
Answer:
The area of sector is 4.71mi^2
Step-by-step explanation:
The area of the sector that Marla needs to remove is (3/2)π square feet.
How to find the surface area of some object?
Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.
We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.
Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.
We are given that;
Central angle = 60°
The radius of the circle = 3 feet.
Now,
To find the area of the sector that Marla needs to remove, we can use the formula:
A = (θ/360)πr^2
where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).
Plugging in the values we know, we get:
A = (60/360)π(3)^2 A
= (1/6)π(9) A
= (3/2)π
Therefore, the area of the fabric will be (3/2)π square feet.
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Use the functions and the scenario to solve the problem.
f(x)=1/2x+6
g(x)=x−3
Shiloh and Leanne are asked to evaluate f(x)−g(x).
Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.
Leanne suggests f(x)−g(x)=(1/2x+6)−(x−3)=−1/2x+9.
Evaluate each student's answer.
Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work
Answer:
Leanne is correct. It is important that g(x) is subtracted from f(x).
Shiloh is incorrect. She subtracted f(x) from g(x), and subtraction isn't commutative.
*Just took the test, got the answer correct!! Hope this helps!
Which type of function best models the data in the table?
A. linear
B. exponential
C. quadratic
D. inverse variation
Answer: Your answer is indeed D. Inverse variation.
Hope this helped!
Answer:
first question:
inverse variation
second question:
for evenly spaced x-values, the ✔ difference of consecutive y-values is not constant.
Step-by-step explanation:
hope this helps!! have an amazing day <3
Chapter 9: Volumes of Pyramids > Section Exercises 9.5 > Exercise 21
For the given angle measure, find the measure of a supplementary angle and the measure of a complementary angle, it possible. If not possible, type the word none in lowercase
letters in the box
27
The supplementary angle is:
The complementary angle is:
Answer:
The complementary angle is 63 degrees and
The supplementary angle is 153 degrees.
Step-by-step explanation:
A complementary Angle has a total of 90 if you subtract 27 from 90 you will get 63
A supplementary adds up to 180 degrees so subtract 27 and you will get 153.
Hope that helps.
Answer:
Supplementary angle = 153°
Complementary angle = 63°
Step-by-step explanation:
Supplementary angles: Two angles that sum to 180°
Complementary angles: Two angles that sum to 90°
Given angle = 27°
⇒ Supplementary angle = 180° - 27° = 153°
⇒ Complementary angle = 90° - 27° = 63°
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In primary mathematics, a statement defines a relationship between the four line segments formed by two crossing chords within a circle.
The equation is form by the above theorem is written as,
9 · x = 24 · 10
Simplify the equation, then we have
9 · x = 24 · 10
9x = 240
x = 240 / 9
x = 26.6667
x ≈ 26.7 units
The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.
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PLEASEE HELPPPPPPP ASAPPPPPPPPP
Answer:
yes its 50
Step-by-step explanation:
if you need an explanation let me know!
plss help me noww if you can
Answer:
i cant see the picture at all
Step-by-step explanation:
A right prism is shown below.
What is the surface area of the right prism?
Question options:
290 in2
420 in2
520 in2
2940 in2
Answer:
290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290
[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]
Step by step explanation:Given:
height of prism h = 10 in
length of base of triangle b = 8 in
height of triangle h' = 15in
side A of triangle = 17 in
To find:
Surface area of prism = ?
Solution:
[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}
[/tex]
[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]
[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]
[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]
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Which statement about the graph of y = 1/4(2/3)^x is true?
The graph crosses the y-axis at (0, 1/6)
The graph decreases from left to right.
The graph includes point (1, 1/4)
The graph has an asymptote at y = 1/4
Answer:
The graph decreases from left to right.
Step-by-step explanation:
CALCULATE THE SIDE LENGTHS USING THE GIVEN SCALE.
Answer:
x = 4 mm
y = 15 mm
Step-by-step explanation:
x = 12 mm / 3 = 4 mm
y = 3 × 5 mm = 15 mm
I need help!!!!! 4. Determine 3 possible solutions to the inequality below
Answer:
5,6,7
Step-by-step explanation:
the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4
What is the slope of the line whose equation is -2y = -4x + 5
Answer:
2
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-2*y-(-4*x+5)=0
STEP 1:
Pulling out like terms
1.1 Pull out like factors :
-2y + 4x - 5 = -1 • (2y - 4x + 5)
Equation at the end of step 1:
STEP 2:
Equation of a Straight Line
2.1 Solve -2y+4x-5 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -2y+4x-5 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000
y-intercept = 5/-2 = -2.50000
Calculate the X-Intercept :
When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000
x-intercept = 5/4 = 1.25000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2
Geometric figure: Straight Line
Slope = 2
x-intercept = 5/4 = 1.25000
y-intercept = 5/-2 = -2.50000
Answer:
2
Step-by-step explanation:
y=mx+b where m is the slope
to get y by itself you divide both sides by -2 resulting in
y= 2x+(-5/2)
2=m
Create equations to solve for f and g
Answer:
Step-by-step explanation:
For what value(S) of K will the quadratic function f(x)=3x^2+4x+k have two zeros?
PLEASE HELP find value of X
x^2 = 9, x = ?
Answer:
3
Step-by-step explanation:
x^2 means squared
to get x you need to get the square root of 9
which is
3
11x + 14y = 65
-11x – 8y = -41
solve for x
Answer:
[tex](x \: y)= ( \frac{379}{107} \: \frac{199}{107} )[/tex]
Step-by-step explanation:
i hope it's to help
pls helppppppppppppp
So I will be giving you the formula
[tex]a^{2} +b^{2} =c^{2}[/tex]
This [tex]c^{2}[/tex] is the hypothenuse which is opposite to 90 degrees
ill start from B
so [tex]a^{2}[/tex] and [tex]b^{2}[/tex] can be any side except the side opposite to 90 degrees it shouldn't change.
Answer for B with steps:
=> [tex]11^{2} +13^{2} =c^{2}[/tex]
=>simplify [tex]290=c^{2}[/tex]
=> get square root using your calculator [tex]\sqrt{290} =\sqrt{c^{2}[/tex]
=>the answer to B is 17.0 which is just 17
Answer for C
=>[tex]7^{2} +x^{2} =12^{2}[/tex]
=>[tex]49+x^{2} = 144[/tex]
=> subtract 49 on both sides 95 so its [tex]x^{2} = 95[/tex]
=> take square root [tex]\sqrt{x} ^{2} = \sqrt{95}[/tex]
=> Its 9.7
For the rest of the hard questions you have to know whats width is and height and the properties of rectangles they are very easy
As long as you understand the concept-
follow the steps I provided.
Solve this inequality
2x2 – 15x < 27
PLEASE HELP I NEED IT NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
what is the problem ? you teacher gave you even the conversion rates in the question.
so, when 1 gallon = 3.79 liters, then how much is 4 gallons ?
4 gallons is 4 times 1 gallon. so, of course, we need to apply the same factor to the other side too.
4 gallons = 4×3.79 = 15.16 ≈ 15 liters
and e do the same for all the other table elements :
8 liters = 8×0.26 = 2.08 ≈ 2 gallons
12.5 liters = 12.5×0.26 = 3.25 ≈ 3 gallons
6 gallons = 6×3.79 = 22.74 liters ≈ 23 liters
5/16, 3/8, 7/16, 19/32, 1/4 least to greatest
I will mark brainliest
(Set 10)
Step-by-step explanation:
my solution is
1/4, 5/16, 3/8, 7/16, 19/32
HELP ASAP I NEED THIS ANSWERED AS SOON AS POSSIBLE
Answer:
g(1) = 1
Step-by-step explanation:
we use the last equation since it can be used when x is not -2 or -1
if we plug in 1 in the equation the answer will be 1
can anybody give me the awnser?
Answer:
48
Step-by-step explanation:
Perimeter is the sum of all the side lengths, so add up the ones you know so far:
4+6+9+13+11
43 + x
x = 11-6
x = 5
43+5 = 48
Hope this helps!
Answer:
48 ft
Step-by-step explanation:
unknow side = 11 - 6 = 5ft
Perimeter = Sum of all sides
= 4 + 11 + 13 + 5 + 9 + 6
= 48 ft
Pls Help Solve for x
X =
Answer:
the answer is 12
Step-by-step explanation:
it is what it is
Find the volume of the following.
Answer:
The volume is 110
Answer:
110
Step-by-step explanation:
10x2x5.5=110
find 2 cube number that is greater then 20 but less than 50
[tex] 20\leqslant x {}^{3} \leqslant 50[/tex]
[tex] \sqrt[3]{20} \leqslant x \leqslant \sqrt[3]{50} [/tex]
[tex]2.714 \leqslant x \leqslant 3.684[/tex]
[tex]x = 3[/tex]
[tex]x = 3.5[/tex]
verify your answer:[tex]3 {}^{ 3} = 27 [/tex]
[tex] 20\leqslant27 \leqslant 50[/tex]
[tex]3.5 {}^{3} = 42.875[/tex]
[tex]20 \leqslant 42.875 \leqslant 50[/tex]
Given P(A) = 0.55, P(B) = 0.42 and P(AUB) = 0.639, find the value of
P(An B), rounding to the nearest thousandth, if necessary.
Answer:
The probability of A and B, denoted as P(A ∩ B) is equal to 0.331.
Step-by-step explanation:
Recall our formula for the probability of A or B:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)We are given are variables already, which we can once again define:
P(A) = 0.55P(B) = 0.42P(A ∪ B) = 0.639To find P(A ∩ B), we start by plugging in the values into our formula:
0.639 = 0.55 + 0.42 - P(A ∩ B)We can add the RHS of the equation:
0.639 = 0.97 - P(A ∩ B)Subtracting 0.97 on both sides, we get closer to our answer:
-0.331 = -P(A ∩ B)To obtain our final answer, we can simply just divide both sides by -1:
0.331 = P(A ∩ B)P(A ∩ B) = 0.331Therefore, the probability of A and B is equal to 0.331.
Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). her work is shown. which best describes the first error in jan'ai's work? she incorrectly determined the factors for the beginning function. she incorrectly determined the a value. she incorrectly transformed the equation to standard form. she incorrectly determined the x-coordinate of the vertex.
The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
What are the coordinates of vertex for a quadratic function?For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:
[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]
For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)
Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:
[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]
Thus, the coordinates of vertex of [tex]y = ax^2 + bx + c[/tex] is:
[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]
The missing steps of work of Jan'ai are:
Begin to write a function in factored form. [tex]f(x) = a(x+1)(x-5)[/tex]Substitute x = 0, y = f(x) = -25 to determine a. [tex]-25 = a(0+1)(0-5)[/tex]Simplify and solve to find a. [tex]a=5[/tex]Rewrite the function. [tex]f(x) = 5(x+1)(x-5)[/tex]Rewrite in standard form. [tex]f(x) = 5x^2-20x-25[/tex]Find the x-coordinate of the vertex. [tex]x = -20/2(5) = -20/10; x = -2[/tex]Find the y-coordinate of the vertex.[tex]y = 5x^2-20x-25[/tex]
[tex]y = 5(-2)^2-20(-2)-25[/tex]
[tex]y = 35[/tex]
so (-2,35) is the coordinate of the vertex, which denotes the minimum.
So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],
Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25
The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2
But Jan'ai didn't putted that negative sign before b. in the 6th step.
Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
Learn more about the vertex form of a quadratic equation here:
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Answer:
The answer is D on edge
Step-by-step explanation: