========================================================
Work Shown:
x = smaller number
x+8 = larger number, since it's 8 more than the smaller value
Add up those two expressions, and set the sum equal to 80.
Then solve for x.
x+(x+8) = 80
2x+8 = 80
2x = 80-8 ... subtract 8 from both sides
2x = 72
x = 72/2 .... divide both sides by 2
x = 36
The smaller value is 36 while the larger value is x+8 = 36+8 = 44
Note how 36+44 = 80 to help verify the answer.
Answer:
34.
Step-by-step explanation:
80 = (34 + 8) + x
80 = 42 + x
38 = x
^^ that is an answer, but the question asks for the SMALLER number... Which is up at the beginning of my equation.
I hope this helps. I'm not entirely sure if it's correct, but it's worth a shot... lol
please i need help solve for x
Answer:
x <= -5
Step-by-step explanation:
4x + 12 <= -8
4x <= -20
x <= -5
Answer:
x <= -5
Step-by-step explanation:
4x + 12 <= -8
4x <= -20
x <= -5
A rectangle has an area of 96 in2. The rectangle's base is 4 in. What is the height of the rectangle?
A. 384in
b. 24in
c. 92in
d. 100in
Answer:
B. 24
Step-by-step explanation:
Formula for area of a rectangle: base × height/ length × width
To find the height, divide the area by the base.
[tex]96/4=24in[/tex]
[tex]formula=base *height/length*width[/tex]
[tex]4*24=96in^2[/tex]
Line m is represented by the equation y + 2 = 3/2(x + 4). Select all equations that
represent lines perpendicular to line m.
A. y = -3/2x +4
B. y = -2/3x +4
C. y = 2/3x +4
D. y = 3/2x +4
E.y+1=-4/6(x+5)
F.y+ 1 = 3/2(x + 5)
The equations representing the lines that are perpendicular to line m are:
B. y = -2/3x +4
E. y+1=-4/6(x+5)
What is the Slope of Perpendicular Lines?Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.
For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).
Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:
y + 2 = 3/2x + 6
y = 3/2x + 6 - 2
y = 3/2x + 4
The slope is therefore 3/2.
Negative reciprocal of 3/2 is -2/3.
Examine each of the equations given and see which equation has a slope of -2/3.
A. y = -3/2x +4, the slope is -3/2.
B. y = -2/3x + 4, the slope is -2/3. (perpendicular)
C. y = 2/3x +4, the slope is 2/3.
D. y = 3/2x +4, the slope is 3/2.
E. y+1=-4/6(x+5), rewrite in slope-intercept form
y+1=-4/6x + 20/6
y + 1 = -2/3x + 10/3
The slope is -2/3. (perpendicular)
F. y+ 1 = 3/2(x + 5), the slope is 3/2.
Therefore, the equations representing the lines that are perpendicular to line m are:
B. y = -2/3x +4
E. y+1=-4/6(x+5)
Learn more about equations of perpendicular lines on:
https://brainly.com/question/7098341
What is the slim of the fractions? Use the number line to help find the answer.
3/5 + (-7/5)?
PLEASE HELP FAST 100 POINTS!
Construct the graph of the following function and identify its zeros on the same document. f(x) = (-x + 2)(x + 1)(x +2). Upload your document in the box below.
Answer:
Given function:
f(x) = (-x + 2)(x + 1)(x +2)We can rewrite it as:
f(x) = - (x - 2)(x + 1)(x +2)Zeros are:
- (x - 2)(x + 1)(x +2) = 0x - 2 = 0 ⇒ x = 2x + 1 = 0 ⇒ x = -1x + 2 = 0 ⇒ x = -2As leading coefficient is negative the function is decreasing.
As the function is of degree 3, it is odd.
Considering the above two factors we can define the shape of the graph:
It is decreasing function with one local minimum and one local maximum.See the graph and zero's reflected.
Analyze the function:
[tex]f(x) = \\ ( - x + 2)(x + 1)(x + 2)[/tex]
Write properties of function:
Solution:
x-intercept/zero
[tex] {x}^{1} = - 2 \\ {x}^{2} = - 1 \\ {x}^{3} = 2[/tex]
y-intercept:
[tex]y = 4[/tex]
domain:
[tex]( - \infty \: . \: + \infty )[/tex]
type of function:
[tex]cubic \: function[/tex]
standard form:
[tex]f(x) = - {x}^{3} - {x}^{2} + 4x + 4[/tex]
factorized form:
[tex]f(x) = - ( - (x + 1)( x + 2) ( - 2x + 2))[/tex]
even/odd:
[tex]neither[/tex]
bounce/cross x-axis:
[tex]x = - 2 \: . \: cross \: . \: x = - 1 \: . \: cross \: . \: x = 2 \: . \: cross[/tex]
increasing interval:
[tex]{ - \frac{1}{3} - \frac{ \sqrt{13} }{3} - \frac{1}{3} + \frac{ \sqrt{13} }{3} }[/tex]
decreasing interval:
[tex]( - \infty - \frac{1}{3} - \frac{ \sqrt{13} }{3} )( - \frac{1}{3} + \frac{ \sqrt{13} }{3} \infty )[/tex]
number of possibles real zero:
[tex]3[/tex]
number of possible turning points:
[tex]2[/tex]
order/degree:
[tex]3[/tex]
leading term:
[tex] - {x}^{3} [/tex]
leading coefficient:
[tex] - 1[/tex]
constant terms:
[tex] - 1[/tex]
end behavior:
[tex]as \: x + \infty \: f(x) - \infty \\ as \: x - \infty f(x) \infty [/tex]
click on the image of you can’t see the answers !
Answer:
C
Step-by-step explanation:
plz mark brainliest would really help
classifying triangles
Answer:
What you are looking at is a scalene triangle!
Step-by-step explanation:
By definition scalene triangles are triangles where each side is a different length... hope this one helps you!
Answer:
C
Step-by-step explanation:
Because all its corners are below 90 degrees
Find the value for x
Answer:
Value of x --> 15°
Step-by-step explanation:
(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.
---> (2x + 60°) + 6x = 180°
2x + 60° + 6x = 180°
8x + 60° = 180°
8x = 180°- 60°
8x = 120
x = [tex]\frac{120}{8}[/tex]
x equals 15°I will mark you brainlest!
On Saturday Leon biked an average speed of 14.5 miles per hour for 1.5 hours. Then on Sunday he biked in average speed of 15 per hour for 2.75 hour. What was the total distance Leon bike in miles in weekend?
Answer: 63
Step-by-step explanation:
14.5x1.5=21.75
15x2.75=41.25
21.75+41.25=63
For each given sequence: write down term to term rule and position to term rules 2,5,8,11,14
Answer:
Tn = 3n + 1
Step-by-step explanation:
The given sequence 2,5,8,11,14 is an arithmetic sequence
The nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term
d is the common difference
n is the number of terms
Given
a = 2
d = 5-2 = 8-5 = 3
Substitute into the formula
Tn = 2 + (n-1) * 3
Tn = 2 + 3n - 3
Tn = 3n + 1
This gives the term rule for the sequence
Which of the following is the equation of a circle with center Left-parenthesis 5 comma negative 2 right-parenthesis and a radius of 3?
Answer:
A.
Step-by-step explanation:
(x-5)^2 +(y+ 2)^2= 9 radius
Rest of the questions...
1. A. (x-5)^2 +(y+ 2)^2= 9 radius
2. C. (x-3)^2+(y+5)^2= 64
3. A. Center =(-8,-9) radius 3
4. The equation of a circle is (x-7)^2 + y^2=225
5. A circle with center (-2,6) passes through the point (-2,10).
6. A circle with center (1,2) passes through the point (0,6).
7. Write the equation of the circle shown here.
8. C. (x-4)^2 + (y-3)^2
9. C. x^2+Y^2 = 15,81,600
10. Part B which of the following is the length of a 1 degree arc on the equator, to the nearest mile.
Answer in the 10-1 quiz intro to circles, central angles, arcs, and chord
Answer:
1.5
Step-by-step explanation:
The answers are given in the solution below.
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given is topics related to circle and its part we need to answer the question asked,
1) to 7) Given is a circle T,
a) Radius = TS, QT and RT all are the radius
b) Diameter = QS
c) Chord = PS
d) Central angle = ∠ RTQ
e) Minor arc = arc QR
f) Major arc = arc QSR
g) Semicircle = QPS
8) to 9) :-
a) Circle with radius 18 in :-
Circumference = 2π×radius = 2×3.14×18 = 113.04 in
Area = π·radius² = 3.14×18² = 1017.36 in²
b) Circle with diameter 25 m :-
Circumference = 2π×radius = 2×3.14×12.5 = 78.5 m
Area = π·radius² = 3.14×12.5² = 490.625 m²
10) The circle is having an area of 201.06 cm², we need to find the circumference and diameter,
Area = π·radius² = 201.06 cm²
radius² = 201.06 / 3.14
= 64
radius = 8 cm
Diameter = 16 cm
Circumference = 2π×radius = 2×3.14×8 = 50.24 cm
11) :-
Circle with radius P :-
The rule we will use here is :- arcs equal to central angle opposite to it, and full circle measures 360°
a) ∠ KPL = 90°
So, by linear pair sum, ∠ NPL = 90°
Now, by angle substitution law, ∠ NPM + ∠ MPL = 90°
∠ NPM = 27°
By using vertical angles rule, ∠ JPK = ∠ NPM = 27°
Therefore, arc JK = 27°
b) arc NJ = 180° - 27° = 153°
c) arc JL = 90°+27° = 117°
d) arc KNM = 360°-(90°+63°) = 207°
e) arc MJL = 360°-63° = 297°
f) arc JLK = 360°-27° = 333°
12) :-
arc CD + arc AD = 180°
Therefore,
19x-49°+5x+37° = 180°
24x-12 = 180°
24x = 192°
x = 8
Therefore,
arc CD = 5x+37 = 74°
13) :-
Length of an arc = central angle / 360° × 2π×radius
= 232° / 360° × 2 × 3.14 × 5 = 20.23 mm
14) :-
= 73° / 360° × 2 × 3.14 × 14.5 = 18.46 ft
Learn more about circles, click;
https://brainly.com/question/29142813
#SPJ2
I need help, and a step by step explanation! :)
Answer:
90°
Step-by-step explanation:
There is no work. We know the right angle in the triangle and the x are supplementary. Meaning, they add up to 180 degrees. Therefore, 180-90 = 90. Think of it as a full triangle. If the 40 at the top was not half, but a full triangle, the 40 at the top would become 80. The 50 in the bottom left would mean there would be a 50 in the bottom right when you mirror the triangle. Therefore, you also need x to be 90 to make it a right triangle.
please help me... :(
For parts 1 and 2, you'll need to find a way to gather these data points, either by measuring them yourself or by asking your friends. Another option is to search out "Census at School", with quotes, and it will lead you to spreadsheets of data on this sort of thing (that some researchers have already done previously).
In short, the answers to parts 1 and 2 will vary depending on what the actual data values you collect. So I'm not much help here in this case.
============================================================
Part 3
Part A
In this case, we have x = 17 as the length of the person's forearm in inches. We'll plug it into the given regression equation to find an estimate of y
y = 0.860x + 3.302
y = 0.860*17 + 3.302
y = 14.62 + 3.302
y = 17.922
The person's foot is approximately 17.922 inches long
Rounding to the nearest whole number, this is approximately 18 inches
Note: 18 inches = 12 in + 6 in = 1 ft, 6 in = 1.5 ft
------------------
Part B
Unfortunately I can't help with this part either because I don't know what data set you're working with. So it all depends on how you do parts 1 and 2. You shouldn't get the same exact values, but you should get close to the average.
"Jack uses 19 more quarts of paint for the outside of a shed than for the inside. If Jack uses 89 quarts of paint in all, how many gallons will he use for inside the shed?"
Answer: 8.75 gallons
Step-by-step explanation:
Let the quarts of paints used for the inside be represented by x.
Since Jack uses 19 more quarts of paint for the outside of a shed than for the inside, the outside will be: x + 19.
Then, the equation to solve the question will be:
x + (x + 19) = 89
2x + 19 = 89
2x = 89 - 19
2x = 70
x = 70/2
x = 35
He used 35quarts of paint for the inside.
Since 4 quarts = 1 gallon
35 quarts = 35/4gallon = 8.75gallons
which expression equivalent to 5(4x+3)-2
is (-7,2) a point on the line?
Answer:
what line i swear if u tell me i can answer just comment
Step-by-step explanation:
Find the sum. Enter your answer in the box below as a fraction, using the slash mark (/) for the fraction bar. 7/17 + 9 /17
PLEASE HELP!!!!!!!!!
Answer:
if I had to guess I whould say i
Calculate AC
Round to the nearest tenth.
Answer:
3,266.53
Step-by-step explanation:
i looked it up :)
Answer:
AC = 11.4
Step-by-step explanation:
6/sin 23 = AC/sin 132
6 sin 132/sin 23 = AC
AC = 11.4
Zina goes shopping. She buys in the same store two scarves and three T-shirts for
49 euros. A week later, it was the sales: reduction of 1.5 euros on scarves and 2 euros
on t-shirts. Zina took the opportunity and for 40 euros, she was able to buy four scarves and five T-shirts.
What was the price of a scarf and a T-shirt before the sales?
THX FOR HELPING!
Answer:
The price of T-shirts before the sale = 42 euros
The price of scarves before the sale = -77/2 euros
Step-by-step explanation:
The cost of the items Zina buys from the store initially are;
Two scarves and three T-shirts for 49 euros
The reduction in the price of scarves a week later during sales = 1.5 euros
The reduction in the price of T-shirts a week later during sales = 2 euros
The items Zina bought for 40 euros at the reduced price of the sales opportunity are;
Four scarves and five T-shirts for 40 euros
Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we have;
2·x + 3·y = 49...(1)
4·(x - 1.5) + 5·(y - 2) = 40...(2)
Expanding equation (2) gives;
4·x - 6 + 5·y - 10 = 40
4·x + 5·y = 40 + 6 + 10 = 56
∴ 4·x + 5·y = 56...(3)
By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;
4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63
-y = -42
y = 42
The price of T-shirts before the sale = 42 euros
x = (49 - 3 × 42)/2 = -77/2
x = -77/2
The price of scarves before the sale = -77/2 euros
(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;
The price of T-shirts before the sale = 12 euros
The price of scarves before the sale = 6.5 euros.
The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)
A part of an exponential function is graphed on the grid
Which inequality best represents the domain of the part shown?
Option A is correct, x≥-2 inequality best represents the domain of the part shown,
What is a function?A relation is a function if it has only One y-value for each x-value.
The domain of a function is the set of all possible inputs for the function
Domain is the set of x values in a function such as f(x).
The range of a function is the set of values that the function assumes.
This set is the values that the function shoots out after we plug an x value in.
In a graph, it is the values that the x-axis assumes.
As we observe the graph, x assumes values of -2 and greater, hence, the inequality is x≥-2.
Hence, x≥-2 inequality best represents the domain of the part shown, Option A is correct.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ5
The cost of a barrel of beans, b, fluctuates by 17% in both directions during a three-month period.
Match each verbal description of the high and low cost of a barrel of beans with all equivalent expressions.
Answer:
A, H, I, J, E, and F I think. In order from b + 0.17b to 1.17b
Step-by-step explanation:
This kind of doesn't make sense but I just went with my best shot.
Answer:
b increased by 17% =b + 17% of b =b + 0.17b = 1.17bCorrect ones A and F
------------------------------------------
b decreased by 17% =b - 17% of b =b - 0.17b = 0.83bCorrect ones H and K
What is 70×100000? will give 30 points.
Answer:
70000000
Step-by-step explanation:
Evaluate the radical.
3√27
Enter the answer in the box.
The answer is 3
Hope this Helped :T
Evaluate the following:
F(x) = 4x - 9 for f(5)
Answer:
f(5)=11
Step-by-step explanation:
f(x)=4x-9
f(5)=4(5)-9
f(5)=20-9
f(5)=11
Answer:
f(5) = 11
Step-by-step explanation:
F(x) = 4x - 9 for f(5)
x gets replaced with 5
f(5) = 4(5) - 9
f(5) = 20 - 9
f(5) = 11
One ounce of olive oil costs $0.23. How much does the whole bottle cost if it contains 32 ounces?
Answer:$7.36
Step-by-step explanation:
Just multiply 0.23 with 32
If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in simplest radical form
Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]
Step-by-step explanation:
Given
[tex]\cos a=\dfrac{5}{9}[/tex]
[tex]a[/tex] lies in the fourth quadrant
So, sine must be negative in the fourth quadrant
Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value
[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]
[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]
If a box has 5 red, 3 green, and 4 blue jelly beans, then what is the probability of choosing
at random a red jelly bean?
7/12, 5/12, 1/12, 2/7
Answer:
2/7
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).
The numerator is 5 because that's the number of red beans in the box.
At the art store, Aisha bought a few blocks of clay to make a teapot and matching mugs for her aunt. She used 2 1 2 pounds of clay to make the mugs and 1 1 2 times as much clay for the teapot. If each block of clay weighed 2 pounds, how many blocks did Aisha use in all?
Answer:
Step-by-step explanation:
I jus sacrificed for you, the answer is 3 1/8
Aisha must have used 4 blocks of clay in all, as 3 blocks of clay would not have been enough and 4 blocks would be more than enough.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and mathematical operations that represents a value or a quantity. Expressions can contain arithmetic operators such as addition, subtraction, multiplication, and division, as well as functions and constants.
Aisha used 2.5 pounds of clay to make the mugs (2 1/2 = 5/2) and 1.5 times as much clay for the teapot, which means she used 1.5 x 2.5 = 3.75 pounds of clay for the teapot.
Therefore, Aisha used a total of 2.5 + 3.75 = 6.25 pounds of clay.
Since each block of clay weighed 2 pounds, Aisha used 6.25 / 2 = 3.125 blocks of clay.
However, since she cannot use a fraction of a block of clay, Aisha must have used 4 blocks of clay in all, as 3 blocks of clay would not have been enough and 4 blocks would be more than enough.
To know more about an expression follow
https://brainly.com/question/28415327
#SPJ2