Answer:
3
Step-by-step explanation:
4[z+3(z-1)]=36
z+3(z-1)=36/4
z+3z-3=9
4z-3=9
4z=9+3
4z=12
z=12/4
z=3
Answer:
4z+2(square)2z=2(square)6
Step-by-step explanation:
4((z+3(z-1)))=36
4(z^2-z+3((z-3)))=36
4(z^2-z+3z-3)=36
4((z^2+(-z+3z)-3))=36
4(z^2+2z-3)=36
4z^2+8z-12=36
4z^2+8z=24
((4(square)z^2))+(square)8z=(square)24
4z+2(square)2z=2(square)6
Ivanka has a ribbon that is 4.5 inches long. Michal has a ribbon that is 3 1/10 times the length of ivanka’s ribbon. How long is michal’s ribbon? Express the answer to the nearest hundredth
Answer:
6.30
Step-by-step explanation:
Ivanka’s ribbon = 4.5 inches long
Michal’s ribbon is 3 1/2 times ivanka’s
Therefore,
Michal’s = 3 1/2 x 4.5
= 7/5 x 4.5
= 31.5/5
= 6.3 = 6.30 to the nearest hundredth
Express the following in scientific notation 77.31 × 10^4
The number 77.31 x 10^4 in scientific notation is 7.731 x 10 ^ 5. To achieve this, the decimal place was moved to the left and the power of 10 increased accordingly.
Explanation:To express the number 77.31 x 10^4 in scientific notation, we need to adjust it to fit the format 'a x 10^n', where 1 ≤ |a| < 10 and n is an integer. So, the main step is to transfer the decimal place in '77.31' to after the first digit, followed by multiplying by an appropriate power of 10.
Firstly, rewrite 77.31 as 7.731 by moving the decimal place one place to the left. Now, since our original number was multiplied by 10^4, this needs to be amended by 1 place for the movement of the decimal point. This results in 10^5, since you are now multiplying by 10 one more time than before.
Combining these, the given number is represented in scientific notation as 7.731 x 10 ^ 5.
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There are 142 laptops and desktop computers in a lab. There are 6 more laptops than desktops. What is the total number of laptops in the lab
Answer:
77 laptops and 65 desktops
Step-by-step explanation:
142/2=71
71+6=77
71-6+65
Answer:
74 Labtops
Step-by-step explanation:
you first have to subtract 6 from 142
142-6= 136
divide 136 by two.... for the labtops and the computers.
136 ÷ 2 = 68
68 is the number of desktops...to find the number of labtops you just need to add 6 again.
68 + 6 = 74 Labtops
To check your answer you can just add
74+68 and if it equals to what you started with then that's your answer
74 + 68 = 142
x+3y=6
x-3y = 12
Using elimination
Answer:
look at the picture shown
Answer:
x = 9 ; y = -1
Step-by-step explanation:
because one equation is 3y and the second is -3y they will cancel out (eliminate) so the term y will be gone and you combine (add) the rest of the terms and end up with
[tex]2x=18[/tex]
then divide both sides by 2 to get: x = 9
plug in the value of x into one of the original problems
[tex]9+3y=6[/tex]
and solve for y
[tex]3y=-3\\y=-1[/tex]
if you plug in the values of x and y into the equations it should be true
The mapping diagram shows a functional relationship. Complete the statements.
Answer:
f(4) =[tex]\frac{1}{2}[/tex]
x = 8
Step-by-step explanation:
f(4) =[tex]\frac{1}{2}[/tex] [ image of 4 is [tex]\frac{1}{2}[/tex]]
f(x) = 4
then x = 8 [ the preimage of 4 is 8]
HELP PLEASE QUICK!!!
Answer
-6 -12
Step-by-step explanation:
HURRY !!!! Find the slope of the line represented in the table.
Answer:
The slope is up 5 over 1
Step-by-step explanation:
Rise over run Which is 5/1
To get the answer you need to follow the x axis and then the y axis or find a point and subtract with an another point on a graph
Or rise over run if u don’t want a graph
Find the value of Y so that r||s.
Answer:
y = 56
Step-by-step explanation:
the two angles are equal to 180
y - 24 +3y - 20 = 180
4y - 44 = 180
4y = 224
y = 56
4/6 + 1/3 solve this plez
Yo sup??
[tex]4/6=2*2/2*3\\=2/3\\\\4/6+1/3\\=2/3+1/3\\=2+1/3\\=3/3\\=1\\[/tex]
Hope this helps
Go math book unit 5 page 310 answer key
Step-by-step explanation:310 x 5=1550
You spend $288 on clothes. Shirts cost $24 and pants cost $32. you buy a total of 10 items
Answer:
I have bought 4 shirts and 6 pants.
Step-by-step explanation:
Let I have bought x number of shirts and y number of pants.
So, the two equation that we can write from the given conditions are
x + y = 10 ............. (1) and
24x + 32y = 288 ...... (2)
Now, solving equations (1) and (2) we get
24x + 32(10 - x) = 288
⇒ 8x = 320 - 288 = 32
⇒ x = 4
And y = (10 - 4) = 6
Therefore, I have bought 4 shirts and 6 pants. (Answer)
Part B
Solve for w, b, and r using the proportions from part A. Show your work.
Answer:
w: 100w = 80 x 35 = 2800/100 = 28 strands in one pom pom
b: 100b = 80 x 25= 2000/100 = 20 strands in one pom pom
r: 100r = 40 x 80 = 3200/100 = 32 strands in one pom pom
Step-by-step explanation:
Answer:
Step-by-step explanation:
. COUPONS Kendra used 35 cents more
in coupons at the store than Leanne.
Leanne used 75 cents less than Becca,
who used 50 cents more than Jaclyn.
Jaclyn used 40 cents in coupons. What
was the value of the coupons Kendra
used?
Answer:
Kendra used 50 cents
Step-by-step explanation:
Jaclyn used 40 cents. Becca used 50 more than Jaclyn (90). Leanna used 75 cents less than Becca (15). Kendra used 35 cents more than Becca (50).
J=40
B=90
L=15
K=50
Hope this helps! c:
Using the given information, the value of the coupons Kendra used IS 50 cents.
Substitution method: Multiple equations can be solved using the substitution method, where we substitute the value of one variable in different equations to calculate the value of other variables.
Let,
Cents used by Kendra in coupons= K
Cents used by Leanne in coupons= L
Cents used by Becca in coupons= B
Cents used by Jaclyn in coupons= J
Using the given information,
Kendra used 35 cents more in coupons at the store than Leanne,
K=L+35......................................................................................(1)
Leanne used 75 cents less than Becca,
L+75=B......................................................................................(2)
Becca used 50 cents more than Jaclyn,
B=J+50......................................................................................(3)
Jaclyn used 40 cents in coupons,
J=40
Substituting J=40 in (3),
B=90
Substituting B=90 in (2),
L=15
Substituting L=15 in (1),
K=50
Thus, Kendra used 50 cents in coupons.
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nanci has a large fish tank that contains fish. The ratio of orange fish to black fish is 5:8. If nanci has a total of 20 orange fish, then how many black fish are inn the tank?
There are 32 black fish in the tank
Step-by-step explanation:
Nanci has a large fish tank that contains fish
The ratio of orange fish to black fish is 5 : 8Nanci has a total of 20 orange fishWe need to find how many black fish in the tank
∵ The ratio between the orange fish to the black fish is 5 : 8
∵ She has 20 orange fish
By using the ratio method
→ orange : black
→ 5 : 8
→ 20 : x
By using cross multiplication
∵ 5 × x = 20 × 8
∴ 5 x = 160
- Divide both sides by 5
∴ x = 32
∵ x represents the number of the black fish
∴ The number of the black fish is 32
There are 32 black fish in the tank
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PLEASE HELP WITH THESE TWO QUESTIONSSS 1. Which value is equivalent to sin20∘?
2. What is the measurement of PQ?
Answer:
a) [tex]\cos(70\degree)[/tex]
b) 12.72 units
Step-by-step explanation:
Recall that the sine and cosine are completed functions.
This means that: [tex]\sin(x)=\cos(90-x)[/tex]
[tex]\sin(20\degree)=\cos(90-20)[/tex]
[tex]\sin(20\degree)=\cos(70\degree)[/tex]
Recall that: sine ratio is opposite/hypotenuse
[tex]\sin 58=\frac{|PQ|}{15}[/tex]
This implies that:
[tex]|PQ|=15\sin 58[/tex]
[tex]|PQ|=15(0.848)[/tex]
[tex]|PQ|=12.72[/tex]
Hugo and Koby are measuring the heights of plants in biology class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
The answers are shorter, higher, 2cm, 15cm, 20% and 15%.
Step-by-step explanation:
Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.
% error = (difference in values / actual value) × 100
Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.
Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.
% error = (difference in values / actual value) × 100
Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.
Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.
Answer:
Step-by-step explanation:
it’s solve system by elimination!!! plz help asap
Answer:
look at the picture shown
what is 1 third of 25 percent
Answer:
0.08333333333
Step-by-step explanation:
Solve for c.
3abc + b = 5
c =
c = 2 - ab
c = -
Answer:
c = [tex]\frac{5-b}{3ab}[/tex]
Step-by-step explanation:
Given
3abc + b = 5 ( isolate the term in c by subtracting b from both sides )
3abc = 5 - b ( divide both sides by 3ab )
c = [tex]\frac{5-b}{3ab}[/tex]
Answer: -b-5/3ab
Step-by-step explanation:
3abc + b = 5
3abc + b - b = 5 - b
3abc = 5 - b
3abc / 3ab = (5 - b) / 3ab
c = (5 - b) / 3ab
Chords NP and MQ intersect at point S in circle R.
If MS = 3, NS = 2, and SQ = 8, what is the length of SP?
Option C:
The length of SP is 12.
Solution:
In the given circle, NP and MQ are chords of the circle.
MS = 3, NS = 2, SQ = 8
To find the length of SP:
Segments of chords theorem:
If two chords intersects in the interior of a circle, then the product of the lengths of the segment of one chord is equal to the product of lengths of the segments of the other chord.
By this theorem,
NS × SP = MS × SQ
⇒ 2 × SP = 3 × 8
⇒ 2 SP = 24
Divide by 2 on both sides of the equation, we get
⇒ SP = 12
Option C is the correct answer.
The length of SP is 12.
Final answer:
Using the Intersecting Chord Theorem, we find that the length of SP is 3/4 by setting up the equation 3 * 2 = SP * 8 and solving for SP.
Explanation:
The student is asking about finding the length of a chord segment in a circle where two chords intersect. Since chords NP and MQ intersect at point S inside circle R, we can apply the Intersecting Chord Theorem.
This theorem states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. In formula terms, MS × NS = PS × SQ.
We are given MS = 3, NS = 2, and SQ = 8. To find the length of SP, we just substitute into the theorem's formula: (3) × (2) = SP × (8). From this, we calculate that SP = 3/4, which is the length of the segment SP.
Which functions have the same transformations? WILL MARK BRAINLIEST
Answer:
B) [tex]f(x)=3e^x^+^6-4[/tex]
D) [tex]f(x)=3(x+6)^2-4[/tex]
Step-by-step explanation:
I did what the other person said and I got 1/2.
The correct functions have the same transformations are,
⇒ f (x) = 3eˣ⁺⁶ - 4
And, f(x) = 3(x+6)² - 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 3 csc (x + 6) - 4
Now, In the given function;
⇒ f (x) is a translation of g(x) = 3csc x of 6 units to the left and 4 units down.
By options;
⇒ f (x) = 3eˣ⁺⁶ - 4
And, f(x) = 3(x+6)² - 4
Both function is a translation of 6 units to the left and 4 units down.
Thus, The correct functions have the same transformations are,
⇒ f (x) = 3eˣ⁺⁶ - 4
And, f(x) = 3(x+6)² - 4
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if the area of a square is 64 square centimeters, what's the length of you side?
PLEASE HELP!!!
Answer:
16
Step-by-step explanation:
64÷4=16
Answer:
the answer would be 8
Step-by-step explanation:
64 is the area squared so you need to find the square root of 64 because that would be the opposite.
what is the perimeter of a football field 31 ft. by 20ft.?
Answer:102
Step-by-step explanation:you do 31+31=62 then 20+20=40 then 62+40=102
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3
3
cubed of melted purple liquid. The radius of the cone is 333 cm.
Question:
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?
Answer:
The height of the cone is [tex]9 \ cm[/tex]
Explanation:
It is given that the radius of the cone is [tex]3 \ cm[/tex]
The volume of the cone is [tex]27\pi[/tex]
The height of the cone can be determine using the formula,
[tex]$V=\frac{1}{3} \pi r^{2} h$[/tex]
Substituting the values [tex]V=27 \pi[/tex] and [tex]r=3[/tex], we get,
[tex]$27 \pi=\frac{1}{3} \pi(3)^{2} h$[/tex]
Multiplying both sides by 3, we have,
[tex]$81 \pi= 9\pi h$[/tex]
Dividing both sides by [tex]$9 \pi$[/tex], we have,
[tex]9=h[/tex]
Thus, the height of the cone is [tex]9 \ cm[/tex]
9 ten thousands scientific notation
Answer:
0.0009) is 9x10^-4
Step-by-step explanation:
f(x) = -2x2 – 7x + 4
What’s the vertex?
Answer:
( - 7/4, 81/8 )
Step-by-step explanation:
Triangle KNM is isosceles, where angle N is the vertex.
Isosceles triangle K N M is shown. N L is a perpendicular bisector of angle K N M. Angle K N L is (5 x + 10) degrees and angle L N M is (6 x minus 1) degrees.
What is the measure of angle K?
11º
25º
50º
65º
Answer:
25°
Step-by-step explanation:
In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.
This means
[tex]m\angle KNL=m\angle LNM[/tex]
Since
[tex]m\angle KNL=(5x+10)^{\circ}\\ \\m\angle LNM=(6x-1)^{\circ},[/tex]
you have
[tex]5x+10=6x-1\\ \\5x-6x=-1-10\\ \\-x=-11\\ \\x=11[/tex]
No, find the measure of angles KNL and LNM:
[tex]m\angle KNL=(5\cdot 11+10)^{\circ}=65^{\circ}\\ \\m\angle LNM=(6\cdot 11-1)^{\circ}=65^{\circ}[/tex]
and the measure of angle KNM is
[tex]m\angle KNM=m\angle KNL+m\angle LNM=65^{\circ}+65^{\circ}=130^{\circ}[/tex]
Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then
[tex]m\angle K=\dfrac{1}{2}(180^{\circ}-130^{\circ})=25^{\circ}[/tex]
Answer:
25 Degrees
Step-by-step explanation:
What is the additive inverse of 6x^2+x-2
Answer:
https://brainly.com/question/11963602
Step-by-step explanation:
m x 12 = 12 x m
What property is this?
Answer:
[tex]It \: is \: called \: commutative \: property[/tex]
Jarret walks his puppy outside every day for 30 minutes. Angela walked her puppy every day for 90 minutes. Find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days. Then graph the results as ordered pairs. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?
Answer:
Read the answers below, including the graph.
Step-by-step explanation:
1. Let's find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days.
Day 1 Day 2 Day 3 Day 4
Angela 90 180 270 360
Jarret 30 60 90 120
Ordered pairs for Angela's puppy: (1,90); (2,180); (3,270); (4,360)
Ordered pairs for Jarret's puppy: (1,30); (2,60); (3,90); (4,120)
2. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?
180 - 60 = 120
Angela spend walking her puppy 120 more minutes over 2 days compared to Jarret