Answer:
We can call the numbers x and x + 1. Then we can write:
x + x + 1 = 113 which simplifies to 2x + 1 = 113.
Answer:
Hey there!
The correct answer would be x+x+1=113, or 2x+1=113.
Let the smaller number be x, then the larger number would be x+1
Thus, the sum of x and x+1 would be 2x+1.
We have that 2x+1=113.
Now, this is just a simple linear equation we have to solve.
Start by subtracting 1 to get 2x=112
Then, divide by 2 to get x=56
Since x=56, x+1 would be 57.
Thus, you would have the two numbers be 56 and 57, and use 2x+1 to solve.
Hope this helps :)
Polynomial function in standard form with zeros 5,-4,1
Answer:
[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]
Step-by-step explanation:
hello,
by definition we can write
[tex](x-5)(x+4)(x-1)[/tex]
as 5,-4,1 are the zeroes
now we have to write it in the standard form, let's do it
[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]
hope this helps
Is 540171 divisible by 9?
Image is attached below.
If the sum of the digits its divisible by 9,
then the original number is divisible by 9.
Since 18 (the sum of the digits) is divisible by 9,
the number 540,171 is also divisible by 9.
Answer:
Yes, The number is divisible by 9
Step-by-step explanation:
If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.
Hope this helps.
Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
Which system of equations below has no solution? A. y = 4x + 5 and y = 4x – 5 B. y = 4x + 5 and 2y = 8x + 10 C. y = 4x + 5 and y = One-fourthx + 5 D. y = 4x + 5 and y = 8x + 10
Answer: A y=4x -5 and y=4x+5
Step-by-step explanation:
They have no solutions because they have the same slopes but different y intercepts. That works with any equation.
Answer:
the answer is A
Step-by-step explanation:
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
Step-by-step explanation:
(0,5), (1,0)
(0-5)/(1-0)= -5/1= -5
y - 0 = -5(x - 1)
y = -5x + 5
Need hep with this question
Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000Let's check :
take the second year : V= -2000*2 +20000 = 16000 that's true !Find the product h · k(x) if h(x) = 2(3x – 5) and k(x) = –2x + 1?
Answer:
The answer is option C.
Step-by-step explanation:
h(x) = 2(3x – 5) = 6x - 10
k(x) = –2x + 1
h • k (x) = (6x - 10) ( - 2x + 1)
= - 12x² + 6x + 20x - 10
The final answer is
= - 12x² + 26x - 10
Hope this helps you
Answer:
C) h · k(x) = –12x2 + 26x – 10
Step-by-step explanation:
what is the formula for this equation?
hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day
Answer:
x + 2x + 1/2x = 224
Step-by-step explanation:
x + 2x + 1/2x = 224
3.5x = 224
x= 64
64×2=128
Hen baked 128 cookies on the second day
A recipe calls for 3 cups of flour for every 8 ounces of water. How many cups of
flour are needed if the baker uses 96 ounces of water?
Answer:
you need 36cups of flour
Step-by-step explanation:
3 cups of flour = 8 ounces of water
x cups of flour = 96 ounces of water
96*3 =8x
288 =8x
288/8=36
x=36
what is this answer 4\5+2\10
Answer:
1
Step-by-step explanation:
To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.
Answer:
1 or 10/10
Step-by-step explanation:
Step 1 make a common denominator
to make a common demoniator multiply the top and bottom number by the same number
so multiply the 4 and 5 by 2 to get 8/10
Step 2 now that you have 8/10 add it with 2/10
Step 3 solve to get 10/10 and then simplify it to 1
A regular four-sided die and a regular eight-sided die are rolled to form a sum. a) Determine the probability distribution for the sum of the two dice. Show Steps b) Create a frequency histogram for the probability distribution. c) Determine the expected sum of the two dice.
Answer:
4+8=12 so,if its 12 so
Step-by-step explanation:
the some will be 12
12-8=4
12-4=8
can some body help me plz
Answer:
Length of each side of the square = 8 cm
Step-by-step explanation:
In the figure attached, diagrams of a right triangle and a square have been given.
"Area of the square is twice the area of the triangle."
Let one side of the square = x cm
Therefore, area of the square = x²
Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(4)[/tex]
= 32 cm²
Therefore, x² = 2 × 32
x² = 64
x = 8 cm
Therefore, length of each side of the square will be 8 cm.
Which of the following are solutions to the quadratic equation? Check all that
apply.
2x2 + 7x- 14 = x2 + 4
Answer:
[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]
Step-by-step explanation:
hello,
[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]
hope this helps
FUNCTIONS HELP ME ASAP
Hey there! :)
Answer:
f(-2) = 2.
Step-by-step explanation:
To find f(-2), we simply need to look at the y value at x = -2.
At x = -2, the y value is equal to 2.
Therefore:
f(-2) = 2.
Answer: b)2
Step-by-step explanation:
Visually, when x = -2, y = 2
Tom, Kristen, Kaley, and Bill bought 333 granola bars to share among themselves. They divided each granola bar into 444 equal portions. Kristen ate 111 portion from each granola bar.
Answer:
Kristen had (3/4) of a granola bar in total.
Then the three other people have 2.25 granola bars to share amongst themselves.
Step-by-step explanation:
Complete Question
Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar.
How many granola bars did Kristen eat.
Solution
4 of them bought 3 granola bars.
Then they divide each granola bar into 4 equal portions.
Each of the 3 granola bars gets divided into 4 equal portions, where each granola bar now has (4 × 1/4) portions.
Each portion is (1/4) of a granola bar.
Kristen then takes 1 portion from the 3 granola bars.
This means she had 3 × (1/4) granola bars.
Kristen had (3/4) of a granola bar in total.
Then the other three people had [3 - (3/4)] of a granola bar to share amongst themselves. It means they had (9/4) or 2.25 granola bars to share amongst themselves.
Hope this Helps!!!
What is the speed of a plane that goes 15000 miles per hour in per seconds?
Answer:
There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.
Answer:
[tex]4 \frac{1}{6} \: miles \: per \: seconds[/tex]Step-by-step explanation:
[tex]1500 \: miles \: \: per \: hour[/tex]
[tex] = \frac{15000}{60 \times 60} [/tex]
[tex] = \frac{15000}{3600} [/tex]
[tex] = \frac{25}{6} [/tex]
[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]
Hope this helps...
Good luck on your assignment...
someone please help :( a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Oregon are: $295, $475, $345, $595, $538, $460. A second sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Washington are: $495, $422, $370, $333, $370, $390. answer the following questions: What is the median price of rent for the University of Oregon? What is the median price of rent for the University of Washington? What is the mean price of rent near the University of Oregon? What is the mean price of rent near the University of Washington? Describe the standard deviation for both Universities.
Answer:
Oregon:
Median: 467.5
Mean: 451.33
Standard Deviation: 113.6
Washington:
median: 380
Mean: 396.6
Standard deviation: 56.3
Step-by-step explanation:
To calculate the median, we need to organize the price and select the value that is in the middle position.
To calculate the mean, we need to sum all the values and divide them by the number of values
To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.
So, for Oregon, the organized values are:
$295, $345, $460, $475, $538, $595
The median is a value between $460 and $475. it is calculated as:
[tex]\frac{460+475}{2}=467.5[/tex]
The mean is:
[tex]\frac{295+475+345+595+538+460}{6}=451.33[/tex]
The standard deviation is:
[tex]\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6[/tex]
At the same way, we can calculate the median, mean, and standard deviation for Washington and get:
median: 380
Mean: 396.6
Standard deviation: 56.3
Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
In a causal-comparative study, what is the difference between independent variables and dependent variables? independent variables cause the effect measured in the dependent variables dependent variables cause the effect measured in the independent variables dependent variables are those that affect each other; independent variables do not independent variables exist before the study; dependent variables do not
Answer: independent variables cause the effect measured in the dependent variables
Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.
Please help me find the answer ASAP
ok gamers i just need an answer for this right here
Name the property of a definition illustrated by each of the following.
6(x-7)=6x-42
Answer:
I think this is the distributive property.
Step-by-step explanation:
Please answer it now in two minutes
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
mo
1.
[tex] \frac{5}{10} \div \frac{3}{2} [/tex]
Answer:
The answer is 1/3.
Step-by-step explanation:
This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters? 245.04 cm2 203.19 cm2 376.99 cm2 188.50 cm2
Answer:
245.04 cm²
Step-by-step explanation:
Use the formula for the surface area of a cylinder: 2[tex]\pi[/tex]r² + 2[tex]\pi[/tex]rh
Now, we can plug in the values:
2[tex]\pi[/tex](3)² + 2[tex]\pi[/tex](3)(10)
18[tex]\pi[/tex] + 60[tex]\pi[/tex] = 245.04
The total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.
We have a can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters.
We have to determine total surface area of the can in square centimeters.
What is the formula to calculate the total surface area of a cylinder with radius 'r' and height 'h'.The total surface area of a cylinder with radius 'r' and height 'h' is given by -
A = 2πr(h + r)
According to the question, we have -
diameter of can = 6 cm
Then, the radius will be (r) = 6/2 = 3 cm
Height of can (h) = 10 cm
Substituting the values, we get -
A = 2 x 3.14 x 3 (10 + 3)
A = 2 x 3.14 x 3 x 13
A = 6 x 13 x 3.14
A = 78 x 3.14
A = 244.92 square centimeters.
Hence, the total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.
To solve more questions on Surface area of cylinder, visit the link below-
https://brainly.com/question/13952059
#SPJ6
If f(x) = x2 + 3x - 4, find f(4).
Answer:
f(4) = 24
Step-by-step explanation:
Plug in 4 for x in the equation:
f(x) = x² + 3x - 4
f(4) = (4)² + 3(4) - 4
Remember to follow PEMDAS. PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
and is the order of operation.
First, solve the power:
(4)² = 4 * 4 = 16
Next, multiply 3 with 4:
3 * 4 = 12
Next, combine the terms:
f(4) = 16 + 12 - 4
f(4) = (16 + 12) - 4
f(4) = 28 - 4
f(4) = 24
f(4) = 24 is your answer.
~
Answer:
24
Step-by-step explanation:
Plug x as 4.
(4)² + 3(4) - 4
16 + 12 - 4
= 24
Below is the work a student completed with an error. Identify the step where the error occurred and give the correct solution. Step 1:(12-20)-3(8-3)+13 Step 2:-8-24-9+13 Step 3:-32-9+13 Step 4:-41+13
Answer:
The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.
HELP ASAP!!!!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:
A, C, E, G
Step-by-step explanation:
Which choice is the most efficient first step to solve this set of equations?
Answer:
x + 2x = 30 is the correct answer.
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.
Answer:
E = (28 + 66i) Volts
Step-by-step explanation:
Note that: i = √-1 ; i² = -1
Ohm's law: E = IR
E = (16+ i) (2 + 4i)
Expand the equation.
E = 16x2 + 16x4i + ix2 + ix4i
E = 32 + 64i + 2i + 4i²
E = 32 + 64i + 2i + 4(-1)
E = 32 + 64i + 2i - 4
Collect like terms:
E = 32 -4 + 64i + 2i
E = (28 + 66i) Volts
A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel?
Answer: 240 seconds OR 4 minutes
Step-by-step explanation:
Length of the train = 1 km
Length of the tunnel = 1 km
Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km
= 2000 m
Speed of the train = 30 km/hr = 8.333 metres per second
Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.
= 240 seconds = 4 minutes