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Related Questions
Use algebra tiles to model and solve x+5=3x-1
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x - 3x = -1 -5
-2x = -6
2x = 6
x= 6÷ 2
x = 3
Whatever blocks you have on both sides you can cancel. So we cancel one [tex]x[/tex]-block, and to take away the [tex]-1[/tex]-block, we balance the equation by putting a [tex]+1[/tex]-block on the other side. We are left with 2 [tex]x[/tex]-blocks equal to 6 [tex]+1[/tex]-blocks. This is equivalent to 1 [tex]x[/tex]-bock equal to 3 [tex]+1[/tex] blocks, so [tex]x=3[/tex].
Algebraically, you can write
[tex]x+5=3x-1 \\ 5=2x-1 \\ 6=2x \\ x=3[/tex].
I personally find the latter approach much easier, but I think the tiles are a nice way to conceptualize what you're doing.
Todd would like to purchase a bicycle that costs $246. This is $48 more than twice the cost of his last bicycle. How much did his last bicycle cost?
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198/2= 99
Todd's last bike cost $99.
Help with this please!
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15x is equal to 6x/2 * 5
24 x is equal to the middle row, which simplifies to (12)2x = 24x.
= 3x × 5
= 15x
(48 ÷ 4)2x
= (12)2x
= 24x
(13 - 9)3x
= (4)3x
= 12x
In a quadrilateral ABCD, AB ∥ DC and AD ∥ BC . Find the perimeter of ΔCOD if point O is the intersection of the diagonals and AC = 20 in, BD = 20 in, AB = 13 in.
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Answer:
33
Step-by-step explanation:
As the opposite sides of a quadrilateral are parallel and equal in length so
(AB) = (CD) =13
And the diagonals of a quadrilateral bisect each other at their intersection point (O in this case), so length of side OC will be the half of diagonal AC.
(OC) = (AC) /2
(OC)=20/2
(OC) =10
Similarly,
(OD) =10
Now,
Perimeter of Triangle OCD = (OC) + (CD) + (OD)
=10+13+ 10
=33
rename each mixed number as an equivalent mixed number with the same denominator. 4 6/9= 7 5/3= 3 7/8= 5 19/14=
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7 5/3= 26/3
3 7/8= 31/8
5 19/14 =89/14
To rename mixed numbers with the same denominator, we simplify the fractions where the numerator is larger than the denominator by dividing the numerator by the denominator and expressing the remainder as a fraction. The simplified mixed numbers for the examples are 4 6/9, 8 2/3, 3 7/8, 6 5/14.
Explanation:Renaming Mixed Numbers To Have The Same DenominatorTo rename each mixed number as an equivalent mixed number with the same denominator, you first must understand that the denominator is the bottom number in a fraction. To make two fractions have the same denominator, you need to find the least common denominator (LCD). The LCD is the least common multiple of the two denominators.
Let's walk through on how this works for the provided numbers:
4 6/9: The fraction here is already simplified. So, it remains the same, i.e., 4 6/97 5/3: Here, the numerator is larger than the denominator. So, we simplify the fraction 5/3 by dividing 5 by 3 which gives 1 remainder 2. So, it becomes 7 1/3 + 2/3 and further simplifies to 8 2/3.3 7/8: The fraction here is already simplified. So, it remains the same, i.e., 3 7/85 19/14: Here, the numerator is larger than the denominator. So, we simplify the fraction 19/14 by dividing 19 by 14 which gives 1 remainder 5. So, it becomes 5 1/14 + 5/14 and further simplifies to 6 5/14.So, the mixed numbers with the same denominator are 4 6/9, 8 2/3, 3 7/8, 6 5/14.
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Brian has 3 basketball cards and 5 basketball card what faction of Brian card are baseball cards
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Andrea’s backyard is 400 square feet. Her rectangular swimming pool is 10 feet long, and six feet wide. What is the area of Andrea’s backyard, not including the swimming pool?
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A=A1=LxW
L=10 ft
W=6 ft
When you substitute these values into the formula, you obtain:
A1=LxW
A1=(10 ft)(6ft)
A1=60 ft²
The area of the Andrea’s backyard (A2) is 400 ft², therefore, the area of Andrea’s backyard, not including the swimming pool (A3), is:
A3=A2-A1
A3=400 ft²-60 ft²
A3=340 ft²
What is the area of Andrea’s backyard, not including the swimming pool?
The answer is: The area of Andrea’s backyard, not including the swimming pool, is 340 feet²
Answer: The answer is 340
Step-by-step explanation:
You have to first find the area of the swimming pool 60 then you subtract it by the backyard 400 so you would get 340.
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below. 79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85 Which of the following expressions could be used to find how many students scored less than a 90 on the test?
3 + 44 + 63 + 4 + 63 + 4 + 6 + 1
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6 | 1 5 8 - 3 scores
7 | 1 7 7 9 - 4 scores
8 | 2 3 4 5 7 9 - 6 scores
9 | 0 1 4 7 9 - 1 score
To total up the number of students who scored less than 90, we have 3 under 60-69, 4 under 70-79, and 6 under 80-89, so this is 3 + 4 + 6. This is the third choice.
Answer:
The answer is 3 + 4 + 6
There are 13 numbers that are lower than 90, and 3 + 4 + 6 is the correct expression because 3 + 4 + 6 = 13.
I did this on my lesson and I got it right.
If m BOC = 30°, then m CAB = degrees
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Answer: It's 330
Step-by-step explanation:
Answer:
The answer is 330.
_______________
{(6,-6), (7, -6), (8, -6), (9,-6)}
EXPLAIN whether or not the following relations is a function.
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Which expression would you use to find the number of outcomes for flipping 4 coins?
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Multiply 2 by 2 by 2 by 2.
Answer:
[tex]2^4[/tex].
Step-by-step explanation:
If we flip a coin then we have two possibilities, i.e., head or tail. So,
Number of outcomes for flipping a coin = 2
If n coins are tossed, then the total number of outcomes is defined by the expression [tex]2^n[/tex].
It is given that the number of coins is 4.
Number of outcomes = [tex]2^4=2\times 2\times 2\times 2=16[/tex]
Hence, he required expression is [tex]2^4[/tex].
Can I please have help?
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Decreases by 1 every 100 meters
1100 / 100 = 11
4 - 11 = -7
-7 degrees Celsius
Show 39c in two ways
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2) 1 quarter, 1 dime, 4 pennies.
3) 2 dimes, 3 nickels, 4 pennies.
First way: 1 quarter and 14 pennies. (25 + 14 = 39)
Second way: 3 dimes and 9 pennies ( 3 x 10 = 30 and 30 + 9 = 39)
These are both ways that equal 39 cents.
Hope this helps you.
Have a great day!
simplify the product 7x(x+4)
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hope this helps
This is right I hope :D Good luck
massimo has $90 in the bank. Every time he rides the buss he spends $2.50. write and solve an equation that massimo can use to see how many times he can ride the bus.
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in other words you would divide 2.50 on both sides and then get t , and t stands for how time which is how many times you can ride the bus. The answer would be 36 times
[tex]2.50x = 90 \\ x = 36[/tex]
36 rides
the seven houses on Kent lane are numbered from 1 to 7 .the local newspaper choose two of the houses at random to receive a free Sunday paper. What is the probability that house 6 and 7 receive the free paper
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which is better to buy?
1 lb of walnuts for $3.49
or
10 oz of walnuts for $2.49
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WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY. If the length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3, find the VALUE OF Y.
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Given is an isosceles trapezoid WXYZ such that WX and YZ are legs of trapezoid with base XY. Also given are the measurements of trapezoid as follows :-
Legs WX = 6x + 5 and YZ = 8x - 3
Base XY = 10x + 4
we know the fact :- "For an isosceles trapezoid, its legs are congruent".
If it is asking for value of the variable 'x', then we can set the expressions of its legs equal and solve for x.
Leg WX = Leg YZ
6x + 5 = 8x - 3
8x - 6x = 5 + 3
2x = 8
x = 4
so, x = 4 would be the answer.
If it is asking for value of base XY, then we could plug the value of x in the expression of XY and compute.
Base XY = 10x + 4
XY = 10(4) + 4
XY = 40 + 4
XY = 44
so, base XY = 44 would be the answer.
a science museum has a scale model of a ladybug in the model 50 cm represents 9 mm the length of the model is 1 m how long is the actual ladybug
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2x9 = 18
the ladybug is 18 mm
Which describes the inverse operations used after the distributive property
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Hope this helps =)
Answer:
subtraction then division on edge
Step-by-step explanation:
Explain how the scale factor is calculated and how the numerical value of the scale factor differs for enlargements and reductions.
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Answer: The scale factor is the ratio of the scale figure dimensions to the original dimensions. The scale factor for an enlargement is a number greater than 1. The scale factor for a reduction is a decimal or fraction between 0 and 1.
HOPE THIS HELPS!!!!
Answer:
According to the scale factor, the original dimensions are smaller than the scaled figures. An enlargement's scale factor is a number greater than one. A reduction's scale factor is a decimal or fraction between 0 and 1.
Step-by-step explanation: changed up the sample answer ^^
The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible
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0/8 (or 0) = Impossible
1/8 to 3/8 = Unlikely
4/8 to 7/8 = Likely
8/8 = certain
Hope this helped!
Since 7/8 are quite likely, solution A is the right choice. But it's not certain. It has a 12.5% probability of happening.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, The probability that an event will occur is fraction 7 over 8.
Adjectives include likely and unlikely. When something is likely to occur or is likely to occur, it signifies that it is most likely to occur or that it is anticipated to occur. If something is improbable to occur or unlikely to happen, it suggests that it is most likely not going to.
Likely means there's a big chance that an event will happen. Certain means an event is going to happen, for sure. It will always happen.
In our case,7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
therefore, A is the correct answer because 7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
Learn more about probability here:
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At a games tournament, 1,008 people are divided into teams of 6. How many terms will play in the first round?
I got for an answer 168. But I feel like that is wrong??? Can someone help me with this???
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At a games tournament, 1,008 people are divided into teams of 6. How many terms will play in the first round?
My Answer:
168 ( This would be the same thing you have )
My Work:
1,008 ÷ 6 = 168
Hope I Helped,
~James
Final answer:
To find out how many teams will play in the first round, divide the total number of people by the number of people in each team. In this case, there will be 168 teams playing in the first round.
Explanation:
To find out how many teams will play in the first round, we need to divide the total number of people by the number of people in each team. In this case, we have 1,008 people divided into teams of 6.
To calculate the number of teams, we divide 1,008 by 6: 1,008 ÷ 6 = 168.
Therefore, there will be 168 teams playing in the first round.
8 pounds 4 ounces = how many ounces
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Hope this helps:D
Have a great rest of s brainly day!
"AB84"
ABCD is a parallelogram.Find the measure of ABC
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The opposite to angle ADC is angle ABC
Opposite angles of a parallelogram are congruent, so angle ABC is also 50 degrees
Answer: 50 degrees
Answer:
(C)50°.
Step-by-step explanation:
It is given that ABCD is a parallelogram and m∠ADB=38° and m∠BDC=12°.
Now, [tex]m{\angle}ADC={\angle}ADB+{\angle}BDC[/tex]
[tex]m{\angle}ADC=38^{\circ}+12^{\circ}[/tex]
[tex]m{\angle}ADC=50^{\circ}[/tex]
Also, opposite angles of parallelogram are equal, therefore m∠ADC=m∠ABC=50°.
Hence, option C is correct.
complete the following math problem
3+6×3=
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3+(6*3)
Hope that helps!
Do multiplication first: 6*3=18
Then do addition: 3+18=21
So your answer is 21.
a bag of 5 lemons costs £1
a bag of 4 oranges costs £1.80
How much more does one orange cost than one lemon?
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The sum of two numbers is 24 and their difference is 2. What are the numbers?
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4 X 6= 24
6-4= 2
A rowing team is practicing on a river. When the boat travels downstream, the current increases the speed of the boat. But when the boat travels upstream, the current decreases the speed of the boat. The team wrote a system letting s represent the speed in calm water and c represent the speed of the current. They found the solution for the system (s, c) to be (14, 6). How fast was the team traveling upstream and downstream?
A. The team traveled at 6 km per hour upstream and 14 km per hour downstream.
B. The team traveled at 14 km per hour upstream and 6 km per hour downstream.
C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.
D. The team traveled at 20 km per hour upstream and 8 km per hour downstream.
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[tex]s=14 \frac{km}{h} [/tex] and [tex]c=6 \frac{km}{h} [/tex]
We also know that when the boat travels downstream, the current increases the speed of the boat; therefore to find the speed of the boat traveling downstream, we just need to add the speed of the boat and the speed of the current:
[tex]Speed_{downstream} =s+c[/tex]
[tex]Speed _{downstream} =14 \frac{km}{h} +6 \frac{km}{h} [/tex]
[tex]Speed_{downstream} =20 \frac{km}{h} [/tex]
Similarly, to find the the speed of the boat traveling upstream, we just need to subtract the speed of the current from the speed of the boat:
[tex]Speed_{upstream} =s-c[/tex]
[tex]Speed_{upstream} =14 \frac{km}{h} -6 \frac{km}{h} [/tex]
[tex]Speed_{upstream} =8 \frac{km}{h} [/tex]
We can conclude that the correct answer is C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.
Final answer:
The team traveled at 8 km per hour upstream and 20 km per hour downstream. Downstream speed is calculated by adding the speed of the boat in calm water to the speed of the current (s + c), and upstream speed by subtracting the current speed from the boat's speed (s - c).
Explanation:
The student is asking about the speeds a rowing team would travel when going upstream and downstream in a river. The system of equations they've solved has given a solution for the speed in calm water, represented by s, and the speed of the current, represented by c, as (14, 6). To find the speed of the team traveling upstream and downstream, we use these values in conjunction with the direction of the current.
When traveling downstream, the current adds to the speed of the boat in calm water, so you would add the speed of the boat and the speed of the current: s + c. This equates to 14 km/h (speed in calm water) + 6 km/h (speed of current) = 20 km/h downstream.
Conversely, when traveling upstream, the current subtracts from the speed of the boat in calm water, so you would subtract the speed of the current from the speed of the boat: s - c. This is 14 km/h (speed in calm water) - 6 km/h (speed of current) = 8 km/h upstream.
Therefore, the correct answer is: C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.
solve 12x - 14 = 16x
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-14=16x-12x
-14=-4x
14=4x
x=14/4
x=7/2
x=3.5
please thank me and mark as the Brainliest
12x - 14(+14) = 16x (+14)
12x = 16x + 14
12x (-16x) = 16x(-16x) + 14
-4x = 14
-4x/-4 = 14/-4
x = -3 1/2
Check:
12(-3.5) - 14 = 16(-3.5)
-42 - 14 = -56
-56 = -56
The answer is: -3 1/2 or -3.5