Answer:
-4x - 30 = -26 Inverse property of addition
Step-by-step explanation:
To move the variable to the left you would subtract the 2x from both sides and you'll be left with -4x - 30 = -26. Adding the negative of a number from the same number (ex. 30 + (-30)) is called inverse property of addition. which we did here but with 2x.
How many cubes with side lengths of 1/3 does it take to fill the prism
Step-by-step explanation:
along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.
along the side with 2 2/3 cm we can fit 8 cubes :
2 2/3 = 6/3 + 2/3 = 8/3.
and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8
and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.
so, we have
3 × 8 × 2 = 48
48 cubes are needed to fill the prism.
The price of gas on Wednesday was $2.03/gallon. On Friday, the price of gas was $2.26. What is the percent change in the price of gas?
Answer:
Percent change in the price of gas is [tex]9.85\%[/tex]
Step-by-step explanation:
Percentage change equals the change in value divided by the absolute value of the original value, multiplied by [tex]100[/tex] .
[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]
Here
[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]
[tex]V_{1}=2.03\$/gallon[/tex]
The percent change in the price of gas
[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]
Percent change in the price of gas is [tex]9.85\%[/tex]
Help help help math math
Answer:
y=-1/2x-3
Step-by-step explanation:
Let's pick two points for slope.
[tex]\frac{-1+3}{-4-0}[/tex]
[tex]\frac{2}{-4}[/tex]
For the y-inctercept, the line intersect at the y-axis at (0,-3)
CHECK:
[tex]y=-\frac{1}{2} (-4)-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Two side of a triangle have the following measures.
Answer:
add the two then subtract the two and put those answers in each box :)
Step-by-step explanation:
hope this helped! happy holidays!
If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically
Answer:
If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically
Pencils are on sale for 25 for $1.25. Based on this rate, how much would one pencil cost?
Answer:
$0.05
Step-by-step explanation:
1.25/25=0.05
A car traveled 133 miles in 4 3/4 hours. What was the cars average speed in miles per hour?
4 3/4 = 19/4
133/(19/4) = 133(4/19) = 1197/19 = 63 mph
Pleaseee HELPPPPPP HELPPPPP PLEASE
Answer:
14.6
Step-by-step explanation:
the given angle 6.2 is cleared to be wrong
so we will erase the point of decimal and times sin62 with hypotenous 16.5 that will give us 14.6 length unit as 2 triangles are symmetric as the line cut them to 2 equal triangles
Choose yes or no to tell whether each expression is equivalent to -4/3p-2/5
A. -2/5-4/3p
B.2/5-4/3p
C.-2/5-4/3p
D.-4/3p+(-2/5)
3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.
The exact area of triangle ABC is 93.51 cm².
The given parameters;
Height of the triangle, h = 18 cmThe base of the triangle is calculated by using trigonometry ratio as follows;
[tex]tan (30) = \frac{b}{18} \\\\[/tex]
where;
b is the base of the triangle ABC[tex]b = 18 \times tan(30)\\\\b = 10.39 \ cm[/tex]
The area of the triangle ABC with the calculated base and given height is calculated as follows;
[tex]A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2[/tex]
Thus, the exact area of triangle ABC is 93.51 cm².
Learn more about area of a triangle here: https://brainly.com/question/23945265
Please please hurry!!!! Answer this question
Ms. Usman buys about 14.4 gallons of gas every other week. How many gallons of ir gas does she buy in a year?
Answer:
374.4 gallons
Step-by-step explanation:
there are 52 weeks in a year
every other week means once every two weeks
52 / 2 =26
14.4 gallons x 26 = 374.4 gallons
Find the unit rate for each person's typing test in words per second 0.5 words/second is the unit rate for James. 3 words/second is the unit rate for Shanya words/second is the unit rate for Tristan, words/second is the unit rate for Ebony, So. is the fastest typist
Unit rates is the rate of a quantity in comparison to 1 i.e. unit.
Based on the given parameters, Shanya is the fastest typist
From the question, the unit rates are given as:
James: 0.5 words per secondShanya = 3 words per secondsThe unit rates of Tristan and Ebony are not given.
So, we compare the rates of James and Shanya
3 words in a second is greater than 0.5 words in a second.
Hence, Shanya is the fastest typist
Read more about unit rates at:
https://brainly.com/question/11848573
Answer:
✔ 1.5
words/second is the unit rate for Tristan.
✔ 2
words/second is the unit rate for Ebony.
So,
✔ Shanya
is the fastest typist
thanks and 5 stars >:(
Need answer to the question in the picture above
Answer:
solution given :
Since opposite side and side of a congruent triangle are equal.
Now
the statement which is true is:
<HDG=~ <HFE
Match each shape with its area formula.
square: A=s^2
triangle: A=(1/2)bh
rectangle: A=lw
parallelogram: A=bh
!PLEASE ANSWER ASAP! THANK YOU!
if g(n) varies inversely with n and g(n) = 9 when n = 4 then find the value when g(n)=8.
round final answer to the tenths place. if answer is a whole number then put a zero in the tenths place before entering your answer.
Answer:
Step-by-step explanation:
I'm ASSUMING you want to find n where g(n) = 8
g(n) = a/n
g(4) = 9 = a/4
a = 36
g(n) = 8 = 36/n
n = 36/8 = 4.5
What can you conclude about the domain and range of a relation if a verticals line at x=5 passes through 2 points? 1 point? No Points?
Answer:
i dont understand
Step-by-step explanation:
i took test
. Andrew's father is paying for a $40 meal. He has a 15%-off coupon for the meal. After the
discount, a 6% sales tax is applied. What does Andrew's father pay for the meal?
=============================================================
Explanation:
He gets a 15% discount, so he pays the remaining 85%. The two percentages add to 100%.
85% in decimal form is 0.85
The 6% sales tax means we also have the multiplier 1.06 to indicate a 6% increase.
The two factors 0.85 and 1.06 multiply to 0.85*1.06 = 0.901
This tells us that Andrew's father pays 90.1% of the original bill
0.901*40 = 36.04 dollars
--------------
An alternative method:
15% of $40 = 0.15*40 = 6
Andrew's father saves $6
The bill of $40 drops to 40-6 = 34 dollars before tax.
6% of $34 = 0.06*34 = 2.04
The father pays $2.04 in tax to get a total bill of 34+2.04 = 36.04 dollars
TE Irene has a collection of 32 dolls that have either blue eyes or green eyes. She has 14 more green-eyed dolls than blue-eyed dolls. How many dolls of each type does Irene have? Let x represent the number of green-eyed dolls. Let y represent the number of blue-eyed dolls.
The formula
x + y = 32
Find our X value
y + 14 = x
Sub for x
(y + 14) + y = 32
Remove Parathesis
y + 14 + y = 32
Add
2y + 14 = 32
Subtract
2y = 18
Divide
y = 9
Sub for y
x + 9 = 32
Subtract
x = 23
Double Check:
9 + 14 = 23
23 + 9 = 32
I hope this helps! :)
Please help!! I have less than an hour to turn this in!
Answer:
8 × 10¹
Step-by-step explanation:
don't panic. just breathe deeply and then think logically.
0.002 ... what is that ? 2 10ths ? 2 hundredths ? 2 thousandths ? 2 tenthousandths ?
the 3rd position after the decimal point is for 1/1000.
and that means 10^-3. in the same way as 1000 is 10³.
so, it is 2 × 10^-3.
the other rounded number is then 4 × 10⁴.
now, we are multiplying both numbers
2×10^-3 × 4×10⁴
what do we do ?
we combine the same types of factors, like the basic constants : 2×4 = 8
and 10^-3 × 10⁴.
what hairball when we multiply the same base number with exponents ? we add the exponents :
10^-3 × 10⁴ = 10¹ = 10
because -3 + 4 = 1
and so, the result is
8 × 10¹
[tex]\sqrt[3]{y} (7\sqrt[3]{8y^2}-\sqrt[3]{y^5} -4y\sqrt[3]{27y^2}[/tex] simplify
Answer:
[tex]\huge\boxed{-y^2+2y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]y\cdot\left(7\sqrt[3]{8y^2}-\sqrt[3]{y^5}-4y\sqrt[3]{27y^2}\right)\\\\=(\sqrt[3]y)(7\sqrt[3]{8y^2})-(\sqrt[3]y)(\sqrt[3]{y^5})-(\sqrt[3]y)(4y\sqrt[3]{27y^2})\\\\=7\sqrt[3]{(y)(8y^2)}}-\sqrt[3]{(y)(y^5)}-4y\sqrt[3]{(y)(27y^2)}\\\\=7\sqrt{8y^3}-\sqrt{y^6}-4\sqrt{27y^3}\\\\=7\sqrt[3]{2^3y^3}-\sqrt{y^{2\cdot3}}-4\sqrt{3^3y^3}\\\\=7\sqrt[3]{(2y)^3}-\sqrt{(y^2)^3}-4\sqrt{(3y)^3}\\\\=7\cdot2y-y^2-4\cdot3y\\\\=14y-y^2-12y\\\\=-y^2+2y[/tex]
Used:
[tex]a(a+b)=ab+ac\\\\\sqrt[3]{a\cdot b}=\sqrt[3]a\cdot\sqrt[3]b\\\\\sqrt[3]{a^3}=a\\\\(a^n)^m=a^{n\cdot m}[/tex]
Problem #15: A box contains 4 black balls, 7 red balls, and 3 green balls. Three balls are
drawn (without replacement). Find the probability that the balls drawn are red, green,
and black in that order.
The probability that the balls drawn are red, green, and black in that order will be 3/78.
What will the probability be?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
The box contains 4 black balls, 7 red balls, and 3 green balls. The total number will be:
= 4 + 7 + 3
= 14 balls.
The probability that the balls drawn are red, green, and black in that order will be:
= P(red) × P(green) × P(black)
= 7/14 × 3/13 × 4/12
= 1/2 × 3/13 × 1/3
= 3/78
The probability is 3/78.
Learn more about probability on:
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5. Linda earns $95 per day. If she works of a day, how much will she earn?
Answer:
95 Dollars
Step-by-step explanation:
95 dollars because she earns 95$ per day and it says "of a day" so it would have to be 95*1, and 95*1 is 95 and it asks how much she earns as in money so it is 95 dollars.
4x+3y=7 what is the coefficients
nasa pick po yong sagot
#CARRYONLEARNING
loveuall:)
PLEASE HELP QUICK!
By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS
Answer:
ASA
Step-by-step explanation:
Angle marked the same way are congruent, so the two triangles have a side in common and the two adjacent angles congruent, so it's ASA
Answer:
The answer is Option B.) ASA
Explanation:
With the ASA rule, all triangles are congruent.
If you spend 3/5 of your $40 gift card, how much money will be left on it?
Answer:
$16
Step-by-step explanation:
1-⅗=⅖
40×⅖=16
Here's the answer
$145.75 marked up by 33% (round to the nearest cent)
Answer:
$189.48
Step-by-step explanation:
$145.75 + 30% × 145.75 = $145.75×1.30 ≈ $189.48
Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
The number of students in the class, n ≥ 9Learn more about data frequency here:
https://brainly.com/question/14298164
Find the value of x in the figure.
x = 64
since , it is vertically opposite
Please answer the question on the image.
Answer:
both isosceles???
Step-by-step explanation:
Answer:
They are similar.
Step-by-step explanation:
There might be other ways but
<X(Angle of x) is used for both triangle XAB and XYZ
And lines AB and YZ are parallel, From this we know that a line intersected by parallel lines it forms same angles for both parallel angles.
The similarity statement is: AAA Because angle(A=B , B=Z)