Answer:
(-50) x 30 = -1850 + 350
-1500 = -1500
true
Answer:
It is true.Step-by-step explanation:
It is example of "Distributive Law":
a × (b + c) = a × b + a × c
When we multiply a number by a group of numbers added together we get the same answer as when we do each multiply separately then add them.
Of course, if you don't remember the distributive law, you can verify it just by doing the operations on both sides of the equality:
(-50) × [37 + (-7) ] = (-50) × 37 + (-50) × (-7)
(-50) × [30] = (-1850) + 350
- 1500 = - 1500 ← it's true
I need this Now (2x + 1)²
Answer:
4x² + 4x + 1
Step-by-step explanation:
We know that (a + b)² = a² + 2ab + b², therefore, (2x + 1)² = 4x² + 4x + 1.
Answer:
(2x)^2 + 2(2x)(1) + (1)^2
4x^2 + 4x + 1
Step-by-step explanation:
The Painter siblings, Elsa, Ben and Cal paint houses. They have been in the business so long that each knows exactly how many square feet each other paints in one hour and these rates never change. For their latest job, they calculated that if Elsa and Ben did the job together, it would take exactly 11 hours. On the other hand, if Elsa and Cal did the job together, it would take exactly 9 hours. Finally, Ben and Cal could do it in exactly 9.9 hours (or if you prefer, 9 hours and 54 minutes). They decided all three would paint this particular house. Ben and Cal started the job at 8 AM and Elsa joined them at 9:00. Cal left at 1:30 and so Ben and Elsafinished the job. After deducting the supply costs (paint etc.), the brothers split the net profit based on what percentage of the total square footage each painted. Who earned the most and who earned the least for this job?
Answer:
Elsa earned the most
Ben earned the least
Step-by-step explanation:
E = Elsa's speed
B = Ben's speed
C = Cal's speed
The combined speeds are:
E + B = 1/11
E + C = 1/9
B + C = 1/9.9
If we add up all three equations:
2B + 2C + 2E = 10/33
B + C + E = 5/33
If we subtract each of the first three equations from the total equation, we can find the individual speeds.
C = 5/33 − 1/11 = 2/33
B = 5/33 − 1/9 = 4/99
E = 5/33 − 1/9.9 = 5/99
Ben and Cal paint together for 1 hour. The fraction of the wall they paint is:
(1/9.9) × 1 = 10/99
Elsa, Ben, and Cal all paint together for the next 4.5 hours. The fraction of the wall they paint is:
(5/33) × 4.5 = 15/22
Ben and Elsa then finish the job. The amount of wall left is 1 − 10/99 − 15/22 = 43/198. So the time it takes is:
(43/198) / (1/11) = 43/18 hours
The fraction of the wall that Ben paints is:
(4/99) (1 + 4.5 + 43/18) = 284/891
The fraction of the wall that Cal paints is:
(2/33) (1 + 4.5) = 1/3 = 297/891
The fraction of the wall that Elsa paints is:
(5/99) (4.5 + 43/18) = 310/891
Answer:
Ben earned the most as 6 of 16.5 as a percentage = (6*100):16.5 =36.36%
We check with Elsa and she earned the least as (5*100):16.5 =30.31%
Cal earned the average as 5.5 of 16.5 as a percentage = (5.5*100):16.5 =33.33%
Step-by-step explanation:
E + B = 11hrs
E + C = 9hrs
B+C = 9.9 hrs
Lets say the house was 100ft sq
if E took 5.5 hrs
B took 5.5hrs we would have 11
C took 3.5 hrs we would have 9hrs for E+C
B took 5.5 hrs + 3.5hrs we are 0.9hrs short and see that B would need to take 0.9 more which means E works 0.9hrs less and shares 0.4 less with C having 0.5 less which gives B an extra 0.4 instead of 0.9
This equates to B: 5.9 , C: 3.9 , E: 5.1
We can change to B: 6 , C: 3.94 , E: 5.4
= E+B = 11.4 = 11
= E+C = 8.99 = 9
= B+C = 9.94 = 9.9
Percentages of fixed net pay when B: 6 , C: 3.94 , E: 5.4 = 6+ 3.94+ 5.4 = 100
Time when 15.34 hrs = 100% if working same rate changes to 16.5hrs to account for the hours given 8am-1.30pm 8am-1.30+ 9am-1.30+ = minimum 1hr more = 2pm
Cal worked 8 am till 1.30 pm = 5.5hrs = 1.66hr extra
Ben worked 8am till 2pm = 6 hrs = 0 hr extra together worked 11.5hrs
Elsa worked 9am till 2pm = 5 hrs = -0.4hr less
11.5+ 5 = 16.5 This equals 16.5hrs = 100%
Ben earned the most as 6 of 16.5 as a percentage = (6*100):16.5 =36.36%
Cal earned the average as 5.5 of 16.5 as a percentage = (5.5*100):16.5 =33.33%
We check with Elsa and she earned the least as (5*100):16.5 =30.31% is the same as 100-69.67%
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) reflect triangle a across the y-axis and then translate triangle a 5 units down. B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin.
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
a slice of bread weighs 28.349 grams. Which expression shows the weight of a slice of bread in expanded notation?
Answer:
20,000
+
8,000
+
300
+
40
+
9
Step-by-step explanation:
8 ÷ 2 ( 2 + 2 ) = ? Help...please
Answer: 16
Step-by-step explanation:
1. Add the numbers in the parenthesis (answer is 4).
2. Divide 8 by 2 (answer is 4).
3. Multiply 4 and 4.
Your answer is 16. Hope this helps. :)
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{16}}}}[/tex]
Step-by-step explanation:
[tex] \sf{8 \div 2(2 + 2)}[/tex]
Add the numbers
⇒[tex] \sf{8 \div 2 \times 4}[/tex]
Divide 8 by 2
⇒[tex] \sf{4 \times 4}[/tex]
Multiply the numbers
⇒[tex] \sf{16}[/tex]
Hope I helped!
Best regards!!
What is 20/2? Answer for 10 points
Answer:10
Step-by-step explanation: this is a middle school question? lool
Why does each 3 have a different value in 3.453?
Answer: Hi!
Each 3 is in a different place value. That's why they have different values.
Hope this helps!
Answer:
the three before the decimal is a whole number that equals 3.0, while the three after the decimal is a decimal equaling 0.003.
Step-by-step explanation:
Sarah spends $5 on a coffee from Starbucks each week. Which of the following integers represents her total spending after 5 weeks? A. -$25 B. $25
Answer:
25 dollars (B)
Step-by-step explanation:
$5 * 5 weeks is $25 in total
Answer:
A. -25
Step-by-step explanation:
if you buy something you are spending money therefore lossing money.
Simplify the expression -3÷(-2/5)
Answer:
[tex]\frac{15}{2}[/tex] or 7.5 (they're the same)
Step-by-step explanation:
Write it out: [tex]\frac{-3}{-\frac{2}{5} }[/tex] Simplify: [tex]\frac{3}{\frac{2}{5} }[/tex] 3 ÷ 2/5 = 3 × 5/23 × 5/2 = 15/2 or 7.5Answer:
[tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]-3:-\frac{2}{5}= \\=-\frac{3}{1}*-\frac{5}{2}\\\\=\frac{-3*-5}{2}\\ \\=\frac{15}{2}\\ \\=7\frac{1}{2}[/tex]
PLSSS HELP MARKING BRAINLIST QUESTION BELOW
Answer:
The third answer. ( John's boat was farther from the deck at the beginning but Roberta's boat traveled more quickly)
Step-by-step explanation:
You already know that in the beginning John's boat begins 20 miles from the dock. Now you need to find Roberta! When each boat begins from the dock, it means when x=0. So lets insert that! y= 6(0)+15. You get 15. Now you know that its either the 3rd or 4th answer. The second piece of info you have for John is that it is 45 miles from the dock after 5 hours. Again, in the beginning it started with 20 miles. 45-20= 25 miles TRAVELED in 5 hours. For Roberta, we need to insert 5 in the equation for x. y=6(5)+15. You get: 45 again! But... Roberta started at 15 miles. So 45-15 is 30 miles. She traveled 30 miles in 5 hours. The only answer that is matching to our problem solving is the third answer. Hope this helps!
Joshua sold his bike for 10% less than he paid for it. If he sold his bike $585, how much did he pay for it.
$650
Step-by-step explanation:90% .............. $585
100% ............ $ x
x = 100×585/90
= 58500/90
= $650
Answer:527.5
Step-by-step explanation:
585-585×10%
585-58.5
527.5
HELLLPPPPP PLEASEAll states require car insurance, but not all states require the same coverage. Each state defines the minimum insurance coverage that is required. According to the Minnesota minimum coverage requirements, for example, all licensed vehicles are required to have coverage for: personal injury protection (PIP) liability uninsured motorist underinsured motorist COULDNT FIT ALL QUESTIONS PART J Do some research and define what "usage-based," or "pay as you go," insurance is. What variables are being measured in this form of insurance? PART K Describe and explain whether you think there should be penalties for people who do not have auto insurance. Research the topic, and cite some data to back up your opinion.
The General Auto Insurance Company is a non-standard auto insurance carrier. If you’ve had a lapse in your auto insurance coverage, have less than perfect credit, are a high-risk driver, or need SR-22 insurance The General may offer you insurance when others won’t or at a more affordable rate.
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness. It takes 198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of −418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 8848 meters. It takes 209 seconds to boil a perfect egg there. T(a) models the time (in seconds) it takes to boil a perfect egg at an altitude of a meters. Which number type is more appropriate for the domain of T? What's the appropriate domain?
Answer:
198
Step-by-step explanation:
198
Nell’s mom makes chocolate milk with 30 mL or chocolate syrup for every 2 ounces of milk. Mell’s dad adds 65 mL of chocolate syrup for every 5 ounces of milk. Whose chocolate milk is more chocolatey? Show your work. Choose 1 answer. A. Nell’s mom B. Nell’s dad C. The two chocolate milks are equally chocolatey
Answer:
15<13
Step-by-step explanation:
HELLLPPPPP PLEASEAll states require car insurance, but not all states require the same coverage. Each state defines the minimum insurance coverage that is required. According to the Minnesota minimum coverage requirements, for example, all licensed vehicles are required to have coverage for: personal injury protection (PIP) liability uninsured motorist underinsured motorist COULDNT FIT ALL QUESTIONS PART J Do some research and define what "usage-based," or "pay as you go," insurance is. What variables are being measured in this form of insurance? PART K Describe and explain whether you think there should be penalties for people who do not have auto insurance. Research the topic, and cite some data to back up your opinion.
Answer:
Ten
Step-by-step explanation:
What is the constant of proportionality represented in the graph? A) 0 B) 1/4 C) 10 D) 4
Answer:
D)4
Step-by-step explanation:
rise over run
rise=8 run=2
8/2
=4/1
=4
Answer:
4
Step-by-step explanation:
For every 1 you go over you go up 4
Find the number that is four greater than three times its additive inverse.
Answer:
1
Step-by-step explanation:
let the number=x
x-4=-3x
x+3x=4
4x=4
x=4/4=1
The number that is four greater than three times its additive inverse
is - 3n + 4.
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
Let the unknown number be 'n' so its additive inverse is '-n'.
So, the number that is four greater than three times its additive inverse is,
Three times of additive inverse is -3n.
Now the number is 4 greater than 3 times its additive inverse which is
= - 3n + 4.
learn more about additive inverse here :
https://brainly.com/question/13715269
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What is 3.5z - 2.7z = -6 What is Z.
Answer:
-7.5
Step-by-step explanation:
3.5z-2.7z is .8z
.8x=-6
.8 is 4/5
5/4 times .8z=5/4 times -6
-7.5
The required solution of the given function is z = -7.5.
Given that,
To determine the simplified solution, of the given expression 3.5z - 2.7z = -6 and determine the value of z.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3.5z - 2.7z = -6
Simplifying,
0.8z = -6
z = -6 / 0.8
z = -7.5
Thus, the required solution of the given function is z = -7.5.
Learn more about simplification here: https://brainly.com/question/12501526
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Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? adult tickets
Answer:168
Step-by-step explanation: First you do 82 times 3.75 which is 307.50. Then you do 2071.5 - 307.5 = 1764 Then you do 1764 divided by 10.50 which is 168
Answer:
168 adult tickets
Step-by-step explanation:
just checked it and got 100 on edge
12. A cyclist travels 40 km at a speed of x km/h. Find the time
taken in terms of x. Find the time taken when his speed is
reduced by 2 km/h. If the difference between the times is
1 hour, find the original speed x.
Answer
original speed X=10
Step-by-step explanation:
We know that Speed= distance/ time
Then
time =distance/speed
We were told the cyclist travels 40 km at a speed of x km/h.
Which means
Distance= 40km
speed =x km/h
Then time t =40/x
Again we we were told his speed was
reduced by 2 km/h
Then speed= (x-2)
But the Distance is still 40km
But we were told the difference in time is 1 hour
Time t=40/(x-2)
Then if we find the difference between the time t of the first condition and second condition we have
40/(x-2) - (40/x) =1
[40x-40(x-2)]/ x(x-2)= 1
80=x(x-2)
x^2-2x-80=0
This is a quadratic equation , if we solve using factorization we have
(x+8)(x-10)
x+8=0 or x-10= 0
X= -8 or 10
But we cannot have a negative value for speed then
X=10
Therefore, original speedX=10
Answer:
x=10
Step-by-step explanation:
How is the number five and two hundred three thousandths written in standard form?
Answer:
0.05203*10 to the power 2
Step-by-step explanation:
To get the standard form you divide a number in order to multiply it by a power of 10 to get the same number. So 5.203 in standard form is o.o5203 * 10 to the power 2. The 10 to the power 2 comes from the number of palces you move the comma/ decimal point to the left
HOPE IT HELPED
Answer:
5.203
*I wrote the answer in decimal form*
When it says *and* that means u are adding a decimal point to ur number. Like this ( four and thirty-two hundredth = 4.32)
What is the measure of x in the diagram below? 13° 14° 118°
Answer:
x = 13,
Step-by-step explanation:
they are diagonal angles so they are equal, so basically all you have to do is solve 8x+14=118, x = 13
Answer:
x = 13,
Step-by-step explanation:
What is the measure of Please hurry this is the me last question on my test and I need help! Thanks!
Answer: 66°
Step-by-step explanation: Triangle TVU is a mirror reflection of triangle QRS, so angle V is 56, angle T is 58, and angle U is 66
Answer:
66 becase all it is is its reflected or mirrored acrossed
Step-by-step explanation:
Please help me understand
Answer:
x= 10
Step-by-step explanation:
[tex]\frac{-2-2x}{3} =-8\\-2-2x=-24\\-2x= -24+2\\-2x=-20\\x=10[/tex]
I need step by step explanation for this!!
=========================================================
Explanation:
T = tens digit of original number
U = units digit of original number
"units digit" is the same as "ones digit"
The original number is in the form 10T+U. For example, let's say that T = 3 is the tens digit and U = 1 is the units digit. This means 10T+U = 10*3+1 = 31 is the original number. Though in this example, the digits don't add to 12.
To make the digits add to 12, we have the equation T+U = 12. This solves to U = 12-T which we'll use later.
--------------------
The digits are reversed to get the new number 10U+T and this is 15 times the original tens digit, so
new number = 15*(original tens digit)
10U+T = 15T
from here we plug in U = 12-T which we found earlier. This effectively eliminates or gets rid of the U variable to leave us with T only
10U+T = 15T
10(12-T)+T = 15T ..... replace U with 12-T
which we can now solve for T
--------------------
10(12-T)+T = 15T
120-10T+T = 15T
-9T+120 = 15T
120 = 15T+9T ... adding 9T to both sides
120 = 24T
24T = 120
T = 120/24 .... divide both sides by 24
T = 5
The original tens digit is T = 5
The original units digit is U = 12-T = 12-5 = 7
So the original number is 10T+U = 10*5+7 = 57
Flipping the digits gets us 75 which is 15 times that of the original tens digit of 5. The original number has its digits add to 5+7 = 12. The answer has been confirmed.
To the nearest square meter, what is the curved surface area of the half pipe if it’s 7 m long?
The radius is 2.5 m
Answer:
55 m²
Step-by-step explanation:
The arc length of a half-circle is πr, so the area of the curved surface is ...
A = πrl = π(2.5 m)(7 m) = 17.5π m² ≈ 55 m²
Answer:
55m^2
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Write an equation of the line that passes through (−4, −9) and is parallel to the line y=4x .
Answer:
y = 4x + 7
Step-by-step explanation:
parallel = same slope
y = 4x + b
plug in (-4, -9)
-9 = 4(-4) + b
-9 = -16 + b
b = 7
y = 4x + 7
Answer:
7=4x+7
Step-by-step explanation:
To do this you would just plug in (-4,-9) into the equation y=mx+b so we would get -9=4(-4)+b when you simplify you will get -9=-16+b so we would add 16 to both sides and we would get 7=b so we would know that the y intercept is 7 and we know that if a line is parallel to another line is just has a different b so for our equation we would get 7=4x+7
Next, rearrange the expression in part B using the Commutative Property so the terms with the same place value are next to eachother.
Answer: can you please post the expression
Step-by-step explanation:
Answer:
70 + 2 + 0.3 + (-30) + (-9) + (-0.1) = 70 + (-30) + 2 + (-9) + 0.3 + (-0.1)
Step-by-step explanation:
just took it
Need help!!! it's middle skool stuff so prolly everyone gets them cuz... ppl here are SMARTTTTTTTTTTTTTTTT someone plz help :( i also need step by step explanation!! thanksss
Answer:
87
Step-by-step explanation:
8+7=15
reverse the digits to get 78.
8x6=48
48+30=78
(There are only 4 two-digit numbers that equal 15. 78, 87, 69, and 96. Only 87 fits these qualifications.)
Answer:
6
Step-by-step explanation:
48/4 as a mixed number? Please help!
Answer:
12 is the answer
Step-by-step explanation: