Answer:
Equivalent expressions are expressions that have the same value. Writing equivalent expressions can make them easier to work with and solve.
Sometimes when you are writing equivalent expressions, you will need to use the distributive property. Multiply a number outside of parentheses by each number inside the parentheses.
Look at the steps for 3(2+4t).
3(2+4t) Multiply 3 by each addend.
3(2)+3(4t) To multiply 3 and 4t, multiply 3 and 4. The variable stays the same. So, 3(4t)=12t.
6+12t
So, 3(2+4t) and 6+12t are equivalent expressions.
Step-by-step explanation:
which choices are equivalent to the quotient below check all that apply50 10
Answer: B, D, and F
Step-by-step explanation:
15 x 3.333 = 50 and 3 x 3.333 = 10
50 divided by 10 is 5
25 x 2 = 50 and 5 x 2 = 10
Ethan and two of his friends went to the movies. They originally had a total of $30. Each boy had the same
amount of money and spent $8.25 on a ticket. How much money did each boy have left after buying his
ticket?
(c) Write an equation you could use to solve this problem. (Hint: distributive property)
Use m for your variable.
Answer:
See belowStep-by-step explanation:
According to the question we can set the following equation:
3(m + 8.25) = 30Solving for m if you need:
m + 8.25 = 30/3m + 8.25 = 10m = 10 - 8.25m = 1.75Solve the System of Equations
Answer:
x = -4
y = 6
Step-by-step explanation:
[tex]y = \dfrac{-3}{4}x+3----(i)\\\\\\y = \dfrac{-1}{2}x+4-----(ii)\\\\\\Substitute \ y = \dfrac{-3}{4}x+3 \ in \ equation \ (ii)\\\\[/tex]
[tex]\dfrac{-3}{4}x+3=\dfrac{-1}{2}x+4\\\\\\\dfrac{-3}{4}x+\dfrac{1}{2}x +3 = 4\\\\\\\dfrac{-3}{4}x+\dfrac{1*2}{2*2}x+3=4\\\\\\\dfrac{-3}{4}x+\dfrac{2}{4}x=4-3\\\\\\\dfrac{-1}{4}x=1\\\\\\x=1*\dfrac{4}{-1}\\\\x=-4[/tex]
[tex]Substitute \ x = -4 \ in \ equation (i)\\\\y=\dfrac{-3}{4}*(-4)+3\\\\\\y=3+3\\\\y=6[/tex]
A pair of new shoes were originally $75, but I got them during the sale for 20% off. If the tax in my area is 8.25% , how much did I spend in all ?
You spent $64.95 or $65
Step-by-step explanation:
As per given conditions,
[tex]75 \times (8.25 \: percent+ 1) \times (1 - 20 \: percent)[/tex]
[tex] = > 75 \times( \frac{8.25}{100} + 1) \times (1 - \frac{20}{100}) [/tex]
[tex] = > 75 \times (0.0825 + 1) \times (1 - 0.2)[/tex]
[tex] = > 75 \times 1.0825 \times 0.8[/tex]
[tex] = > 64.95[/tex]
If you round off to the nearest, then you get $65
~Benjemin360
Find the time it would take, in hours, to travel 50 miles.
Answer:
1 hr at the speed of 50 mph
Step-by-step explanation:
If you went 50 mph it would be 1 hour. 100mph = 30min.
The time it will take to cover a given a given distance of 50 miles, assuming a speed of 20 miles per hour is 2 hours 30 minutes
Given Data
Distance = 50 miles
We Need another parameter speed, this will help us determine the exact time it would take to travel given the distance
Let us assume a speed of 20 miles per hour
We know that the expression relating speed, distance and time is given as
Speed = Distance/Time
Substituting we have
20 = 50/t
solving for t we have
t = 50/20
t = 2.5 hours
This is the same as 2 hours 30 minutes
Learn more about speed here:
https://brainly.com/question/4931057
9) Which scatterplot shows a negative correlation?
A)
B)
C)
Eliminate
At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 4179 oranges.
he initial number of trees was 204.
How to find the initial number of trees?The first step to finding the initial number of trees is to write an equation that represents the situation.
T is equal to the initial number of trees.5 trees were removed = t - 5Each tree produces 210 oranges = (t-5) (210)The total of oranges is 41,780 = (t-5) (210)= 41,780Solve the equation:(t-5) (210)= 41,780t-5= 41,780 / 210 t-5 = 198.95t = 198.95 + 5t = 203.9
This number can be rounded as 204.
Note: This question is incomplete; here is the missing section:
Find the initial number of trees.
Learn more about equation in: https://brainly.com/question/2263981
The diameter of the moon is approximately one fourth of the diameter of the earth.
Find the ratio of their surface areas
Answer:
Step-by-step explanation:
Area of a sphere is [tex]4\pi d^{2}[/tex]
let d be the diameter of the moon and D be the diameter of the earth
d = 1/4 D
Area of Earth = [tex]4\pi D^{2} = 4\pi (\frac{d}{4} )^{2} = 4\pi \frac{d^{2} }{16} = \pi \frac{d^{2} }{4}[/tex]
Area of moon = [tex]4\pi d^{2}[/tex]
[tex]\frac{Area of moon}{Area of Earth} = \frac{1}{16}[/tex]
Draw and label all three side lengths and angle measures of a right triangle that has a 40° angle and a hypotenuse 10 cm long.
Explain how you calculated each missing angle measure and segment length.
Answer:
Right Triangles and the Pythagorean Theorem
1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
2.The side opposite the right angle is called the hypotenuse (side c in the figure).
In the diagram, a student placed a mirror on level ground, then
stands so that the top of a nearby tree is visible in the mirror. What
is the height of the tree?
14x - 7y = 21 is a linear equation written in Standard Form. What is the slope and y-intercept ?
Answer:
y-intercept=-3
slope=2
1
Here are two right-angled triangles.
y cm
6 cm
X
X
10 cm
15 cm
Circle the value of y.
Answer:
y = 9 cm
Step-by-step explanation:
The 2 triangles are similar ( by AA postulate ) , then the ratios of corresponding sides are in proportion , that is
[tex]\frac{y}{6}[/tex] = [tex]\frac{15}{10}[/tex] = 1.5 ( multiply both sides by 6 )
y = 6 × 1.5 = 9 cm
The value of y from the diagram is 9
Similar shapesFrom the given figure, the shapes are similar, using the similarity theorem of triangles, you ill have;
6/10 = y/15
Cross multiply
10y = 15* 10
10y = 90
y = 90/10
y = 9
Hence the value of y from the diagram is 9
Learn more on similar shapes here: https://brainly.com/question/2644832
47 divided by 3 =____ with ____ left over
Answer:
47 divided by 3 =15 with 2left over
Step-by-step explanation:
Answer:
15 with 2 left over
Step-by-step explanation:
3 goes into 47 a maximum of 15 times. Otherwise, it'll go over 47.
3 × 15 = 45Then, the remainder is 47 - 45, which is 2.
Therefore, the answer is 15 with 2 left over.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
what font is the best to use for a go0gle sl!des presentation? just a question
Answer:
Hwello!
Lora is very similar to Times New Roman and has more modern feel. The additional touches are done in calligraphy which gives it a very elegant style but also gives of simplicity and boldness. (i love calligraphy so this is one of my fav fonts)
Ubuntu. This font has a very unique and striking feel. It is sans serif with very minimalistic letters, but the curvy design makes it look modern and intriguing.
Libre Baskerville. This font was designed to work well for main body text.
Lora is my personal favorite but you can choose any one! I like to use a combination of Lora of headings, and times new roman/libre baskerville for main body text!
Have fun!
There are 22 animals in the barn. Some are ducks and some are oxen. There are 72 legs in all.
How many of each animal are there?
Answer:
14 oxen8 ducksStep-by-step explanation:
Let x represent the number of oxen. Then the number of ducks is 22-x and the number of legs is ...
4x +2(22 -x) = 72
2x +44 = 72 . . . . . . . simplify
x +22 = 36 . . . . . . divide by 2
x = 14 . . . . . . . . . subtract 22; the number of oxen
22-x = 8 . . . . . the number of ducks
There are 8 ducks and 14 oxen in the barn.
i buy 3 apples to 4 bananas. If I buy 6 more bananas than apples, how many total pieces of fruit did I buy?
Answer:
42
Step-by-step explanation:
The difference in ratio units is 1, which corresponds to a difference in fruit count of 6. So the total of 7 ratio units must represent 7×6 = 42 pieces of fruit.
In the parallelogram LMNO below, find the bailie of Y! Help!
Answer:
y = 4.5
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. Therefore
5y -8 = 3y + 1 Add 8 to both sides
5y -8 + 8 = 3y + 1 +8 Combine
5y = 3y + 9 Subtract 3 y from both sides.
5y - 3y =3y -3y + 9 Combine
2y = 9 Divide by 2
2y/2 = 9/2
y = 4.5
HELP PLEASE. I HAVE SEARCHED EVERYWHERE FOR AN ANSWER FOR THIS. HELP PLEASE ILL LIKE, GIVE 5 STARS, AND BRAINLIEST. EXPLAIN YOUR ANSWERS PLEASEEEEEEEEE
Round 127.39 to the nearest whole number.
Answer:
127
Step-by-step explanation:
Since the digit after the point (tens digit) is less than 5, we will round down and get 127.
Answer:
127
Step-by-step explanation:
127.39 rounded to the nearest whole number is 127
So the 9 in the hundreths place rounds the 3 in the tenths place to a 4 but the 4 doent round the 7 in the ones place to an 8. And sice your at the ones you can stop with an answer of 127.
hope ths helps just let me know if you have any questions about my answer:P
what is 8x + 10 ≤ 51 please show work
[tex]\huge\fbox{Hi~there!~:)}[/tex]
Let's solve this inequality! :)
Let's start by subtracting 10 from both sides:
[tex]\rm{8x\leq 51-10}[/tex]
[tex]\rm{8x\leq 41[/tex]
Now, divide both sides by 8:
[tex]x\leq \displaystyle\frac{41}{8}[/tex] (Answer)
Decimal form:
[tex]\rm{5.125}[/tex]
I hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex] here to help
I need help with problem five
Answer:
x=110
Step-by-step explanation:
360-(110+90+50)=110
x=110
Twenty reams of paper form a stack 40 inches high. Each ream costs $3. What is the value of a stack that has the same height as Mount Logan, which is 19,500 feet high?
Answer: 29250
The reason why is because
19500/40=487.5
487.5x20=9750
9750x3 =29250
The figure below is a scale drawing of a
garden. If the scale used is1/4 inch = 3 feet.
then what is the perimeter of the actual
garden?
Answer:
126ft^2
Step-by-step explanation:
1/2 * 7/4 = 7/8 in^2
1/2 here = 6 ft
1 in = 12ft
3/4 = 9 ft
6*21 = area
126ft^2
Simplify the following expression:
(i-3)+6i-3(8-i)
Answer:
-27+10i
Step-by-step explanation:
i did it
Answer:
-27+10i
Step-by-step explanation:
Use multiplication to find 2
equivalent fractions,
1/4 1/6
Answer:
2/8 4/16
2/12 3/18
Step-by-step explanation:
please help i will give promise
The answer is in the image
solve pls brainliest
Step-by-step explanation:
If we have a fraction raised to a power,
[tex]( \frac{a}{b} ) {}^{n} [/tex]
that equals
[tex] \frac{a {}^{n} }{b {}^{n} } [/tex]
where n is the power we raising to.
Why? Remeber an exponent means that we multiply the base the number of exponent tells us.
For example,
[tex] {5}^{2} = 5 \times 5[/tex]
or
[tex]6 {}^{4} = 6 \times 6 \times 6 \times 6[/tex]
Here this applies to fraction.
If we have fraction 2/3,
and raised to the 3rd power then we get
[tex]( \frac{2}{3} ) {}^{3} = \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} [/tex]
which equals
[tex] \frac{8}{27} [/tex]
which also equals
[tex] \frac{2 {}^{3} }{3 {}^{3} } [/tex]
So we have proved this using numbers so let go back to the problem.
[tex]( \frac{3}{4}) {}^{3} = \frac{27}{64} [/tex]
A plot of land has an area of 33. 75 square feet. Jackson wants to put a 4-foot by 4-foot shed on the land. He can only do this if the height of the trapezoid is at least 4. 5 feet. What is the height of the trapezoid? feet.
Answer:
The area of a trapezoid is
A = (1/2) h (b1 + b2)
where
h is the height
b1 is length of base 1
b2 is the length of base 2
Step-by-step explanation:
9th grade- Point slope of line. Please explain how to do this, I got it wrong. I need an explanation cause I haven’t done it in a while
Answer:
The answer would be C
Step-by-step explanation:
You were going in the right direction but the problem was that you needed to subtract and not add. The formula should be y-y1 / x-x1 iirc. Hope this helped.
PLEASE PLEASE PLEASE HELP Determine an equation for the pictured graph. Write your answer in factored form and assume the leading coefficient is...
Answer:
[tex]f(x)=-x(x+2)(x-1)^2[/tex]
Step-by-step explanation:
From inspection, the curve has 3 turning/stationary points, which suggests it is quartic function. In factored form: ax(x + b)(x + c)(x + d)
From inspection, there are 3 roots at: [tex]x = -2, x = 0, x = 1[/tex]
Therefore x, (x + 2) and (x - 1) will be factors.
Whenever a turning/stationary point touches the x-axis, we conclude that a root is repeated at that point. Therefore, from inspection, root x = 1 is a repeated root. So x, (x + 2) and (x - 1)² are factors.
The quartic curve is a "n" shape, which means the leading coefficient is negative. We are told the leading coefficient is + or - 1. Therefore, it will be -1.
Therefore, an equation for the function in factored form is:
[tex]f(x)=-x(x+2)(x-1)^2[/tex]
