Answers
Answer:
[tex]7+(11-4\times 2)=10[/tex]
Step-by-step explanation:
So, this question involves you to play around with the numbers and the operations a bit. I've come up with a solution, but perhaps there are others as well.
So, we have:
[tex]7\text{ } 11\text{ } 4\text{ } 2\text{ } =\text{ } 10[/tex]
So, what we can do is, for instance, multiply 4 and 2. Subtract that into 11. And then add the difference to 7. Thus:
[tex]7+(11-4\times 2)=10[/tex]
This is a true number sentence. Let's do it to make sure.
First, do the operations inside the parentheses.
Multiplication comes first, so multiply:
[tex]7+(11-8)=10[/tex]
Again, do the parentheses first. Subtract:
[tex]7+(3)=10[/tex]
Now add:
[tex]10=10[/tex]
So our answer is correct :)
Related Questions
8.5x-6.1=-7.1
round to the nearest tenth
Answers
40x-6.1=-7.1
40x=-7.1+6.1
40x=-1
solution= x= -0.025
Answer & Step-by-step explanation:
[tex]8.5x-6.1=-7.1[/tex]
Add 6.1 to both sides:
[tex]8.5x-6.1+6.1=-7.1+6.1\\\\8.5x=-1[/tex]
Isolate the variable x. Divide both sides by 8.5:
[tex]\frac{8.5x}{8.5} =\frac{-1}{8.5}\\\\ x=-\frac{1}{8.5}[/tex]
Round to the nearest tenth. Simplify division:
[tex]-\frac{1}{8.5}=-0.11764705...=-0.1[/tex]
So, x≈-0.1
:Done
The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between
Answers
Answer:
9, 10
Step-by-step explanation:
square root of √93 is 9.64.
Thus, we see that the number 9.64 is greater than but less than 10.
On number line it can be represented as
-∞ _____________7___8___9__9.64___10___11_______+∞
Thus, we see that the two whole numbers between which √93 lies is 9, 10
simplify the expression showing each step.
3(2+7)-5
Answers
Answer:
22
Step-by-step explanation:
Simplify the following:
3 (2 + 7) - 5
Hint: | Evaluate 2 + 7.
2 + 7 = 9:
3×9 - 5
Hint: | Multiply 3 and 9 together.
3×9 = 27:
27 - 5
Hint: | Subtract 5 from 27.
| 2 | 7
- | | 5
| 2 | 2:
Answer: 22
Answer:22
Step-by-step explanation:
add the numbers in the parathieses so 2+7 and you get 9 so then your equation is 3(9)-5 or 3×9-5
then you multiply 3×9 and get 27 so then subtract 27 -5 and get 22 as your answer
A baseball player hits a pop fly ball toward left field where it is caught by a player at a height of 5 feet. The ball was hit at a height of 3 feet and reached a height of 50 feet. The height of the ball is a function of time. What is the range of this function?
Answers
Answer:
The range of the function are the values of height which are from 3, 4, 5, ..., 50
Step-by-step explanation:
The given parameters are;
The height at which the ball is caught = 5 feet
The height at which the ball was hit = 3 feet
The maximum height reached by the ball = 50 feet
The height of the ball given as a function of time is f(t) s = u·t - 1/2·g·t²
Where;
s = 50 feet
g = 9.81 m/s²
Therefore, we have;
50 = u·t - 1/2 × 9.81 × t²
50 = u·t - 4.905 × t²
Therefore, the range are obtainable values for f(t) which range from 3 to 50.
Develop a formula for finding the midpoint of a segment with endpoints A(0, 0) and B(m, n).
Answers
Answer:
(0+m)/2. (0+n)/2
Step-by-step explanation:
U sum both x coordinates and divide by two. U do same to the t values.
The formula used to find the midpoint of a segment with endpoints A(0, 0) and B(m, n) is x = m / 2 and y = n / 2.
What is the midpoint on a given line?
If on a straight line we have two endpoints:
- [tex](x_{1}~,y_{1})[/tex]
- [tex](x_{2},~ y_{2} )[/tex]
and the midpoint is given by ( x, y ).
Then to find the midpoint on a straight line we use the formula:
x = ( [tex]x_{2}[/tex] + [tex]x_{1}[/tex] ) / 2
y = ( [tex]y_{2}+y_{1}[/tex] ) / 2
We have,
[tex](x_{1}~,y_{1})[/tex] = ( 0, 0 )
[tex](x_{2},~ y_{2} )[/tex] = ( m, n )
[tex]x_{1}[/tex] = 0
[tex]x_{2}[/tex] = m
[tex]y_{1}[/tex] = 0
[tex]y_{2}[/tex] = n
We will use the formula :
x = ( [tex]x_{2}[/tex] + [tex]x_{1}[/tex] ) / 2
y = ( [tex]y_{2}+y_{1}[/tex] ) / 2
And substitute the values.
x = ( m + 0 ) / 2
y = ( n + 0 ) / 2
x = m / 2
y = n / 2.
The formula used to find the midpoint of a segment with endpoints A(0, 0) and B(m, n) is x = m / 2 and y = n / 2.
Learn more about midpoints here:
https://brainly.com/question/15191928
#SPJ2
If × = 2,y =-6 and z =4.Find the value of 4z + 2y-x.
Answers
Answer:
The answer is 2
Step-by-step explanation:
4z+2y-x
4(4)+2(-6)-2
16+(-12)-2
16-12-2
4-2
2
Step-by-step explanation:
[tex]4z + 2y - x \\ = 4 \times 4 + 2 \times ( - 6) - 2 \\ = 16 + ( - 12) - 2 \\ = 16 + ( - 14) \\ = 2[/tex]
Can someone pls help
Answers
Answer:
Negative
Step-by-step explanation:
A negative plus a negative (negative minus a positive) will give you a negative. -1.69 + (-1.69) = -3.38
-3.38 is a negative, therefore the answer is negative.
what is the equation of a horizontal line passing through the point (-3,8)
Answers
Answer:
y=8
Step-by-step explanation:
Horizontal equations are of the form
y =
The y coordinate is 8
y=8
NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven. What is the equation that models the total fee for using this cab company? y+____x+______
Answers
Answer:
y = 5 + 0.9x
Step-by-step explanation:
If y is the total fee and x is the miles driven, we get following equation:
y = 0.9x + 5The total comprises of a constant initial rate ($5) and a charge for driven miles (0.9x)
The sum of three consecutive numbers is 96. What is the smallest of the three
numbers?
Answers
31+32+33=96.
PLEASE HELP AND HURRY!!
is it possible for a rectangle to have rational side lengths and an irrational area?
Answers
Yes
For Example :If the rectangle has sides of Square root 8 and square root 2 which are two irrational numbers but when multiplied it gives an area of 4 square units which is a rational number.
No, it is not possible for a rectangle to have rational side lengths and an irrational area, because two rational numbers are always rational.
Given that,
To figure out, is it possible for a rectangle to have rational side lengths and an irrational area.
Rational numbers can be structured in the form of the fraction of integers. Eg- 5/6, 2/3, etc.
Here,
in a rectangle, two sides have rational length and the area of the rectangle is a product of the sides of the rectangle.
Since there is a property of the rational numbers that, when two rational numbers are multiplied together the product of the rational number is always rational.
So the area of the rectangle also would be rational.
Thus, it is not possible for a rectangle to have rational side lengths and an irrational area.
Learn more about Rational numbers here: https://brainly.com/question/17450097
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Picture is in the question pls help!!
Answers
Answer:
124°
Step-by-step explanation:
The angles CGH and AHF have the same size.
● 7x - 72 = 3x + 40
Add 72 to both sides
● 7x - 72 + 72 = 3x + 40 + 72
● 7x = 3x + 112
Substract 3x from both sides
● 7x - 3x = 3x + 112 - 3x
● 4x = 112
Divide both sides by 4
● 4x/4 = 112/4
● x = 28
■■■■■■■■■■■■■■■■■■■■■■■■■■
● < CGH = 7x - 72 = 7×28 - 72 = 124°
.If x2 + kx+ 6 = (x + 2) (x + 3) for all x, then the value of k is
Answers
Answer:
k = 5
Step-by-step explanation:
[tex](x + 2)(x + 3) = {x}^{2} + 5x + 6[/tex]
Now comparing left hand side & right hand side ,
[tex] {x}^{2} + kx + 6 = {x}^{2} + 5x + 6[/tex]
Cancelling x^2 & 6 from both left hand side & right hand side ,
kx = 5x
=> k = 5
What is the product of Negative StartFraction 2 over 7 EndFraction and Negative StartFraction 3 over 7 EndFraction? Negative StartFraction 6 over 7 EndFraction Negative StartFraction 6 over 49 EndFraction StartFraction 6 over 49 EndFraction StartFraction 6 over 7 EndFraction please help me.... 10 minutes ASAP!!
Answers
Answer:
6/49 or
StartFraction 6 over 49 EndFraction
Step-by-step explanation:
There are two negative fractions, the product of which results in positive.
(-2/7)* (-3/7) = 6/49
Answer:
6/7
Step-by-step explanation:
is correct
On Monday, I had a normal temperature of 98.6° F.
When I woke up on Tuesday morning, I had a fever of
103.4°F. How much higher was it on Tuesday
morning?
Answers
Answer:
it was 4.8 degrees higher
Step-by-step explanation:
all u have to do is subtract 103.4 from 98.6
Answer:
Wouldn't it be 4.8° F ?
Step-by-step explanation:
Since you can just subtract the two numbers and you get that.
103.4°F - 98.6°F = 4.8°F
please someone help me to prove this.
Answers
Answer: see proof below
Step-by-step explanation:
Use the following Power Reducing Identities:
[tex]\sin^3\theta= \dfrac{1+\cos 2\theta}{2}\\\\\\\cos^2\theta=\dfrac{3\sin \theta-\sin 3\theta}{4}[/tex]
Use the following Product to Sum Identity:
[tex]\sin A \cdot \cos B = \dfrac{1}{2}\bigg[\sin (A + B) + \sin (A - B)\bigg][/tex]
Proof LHS → RHS
LHS: cos² Ф · sin³ Ф
[tex]\text{Power Reducing:}\qquad \bigg(\dfrac{1+\cos 2\theta}{2}\bigg)\bigg(\dfrac{3\sin \theta-\sin 3\theta}{4}\bigg)[/tex]
[tex]\text{Expand:}\qquad \qquad \dfrac{1}{8}(3\sin \theta -\sin 3\theta +3\sin \theta\cdot cos 2\theta-\sin 3\theta \cdot \cos 2\theta)[/tex]
[tex]\text{Product to Sum:}\\ \dfrac{1}{8}\bigg[3\sin \theta -\sin 3\theta +\dfrac{3}{2}\bigg(\sin (\theta +2\theta) +\sin(\theta -2\theta)\bigg)-\dfrac{1}{2}\bigg(\sin (3\theta+2\theta) +\sin (3\theta-2\theta)\bigg)\bigg][/tex]
[tex]\text{Simplify:}\quad \dfrac{1}{8}\bigg[3\sin \theta -\sin 3\theta +\dfrac{3}{2}\bigg(\sin 3\theta +\sin(-\theta)\bigg)-\dfrac{1}{2}\bigg(\sin 5\theta +\sin \theta\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\quad \dfrac{1}{8}\bigg[3\sin \theta -\sin 3\theta +\dfrac{3}{2}\bigg(\sin 3\theta -\sin(\theta)\bigg)-\dfrac{1}{2}\bigg(\sin 5\theta +\sin \theta\bigg)\bigg][/tex]
[tex]\text{Simplify:}\qquad \dfrac{1}{16}\bigg(6\sin \theta -2\sin 3\theta +3\sin 3\theta -3\sin(\theta)-2\sin 5\theta -2\sin \theta\bigg)\\\\\\.\qquad \qquad =\dfrac{1}{16}\bigg(2\sin \theta + \sin 3\theta -\sin 5\theta\bigg)[/tex]
[tex]\text{LHS=RHS:}\quad \dfrac{1}{16}\bigg(2\sin \theta + \sin 3\theta -\sin 5\theta\bigg)=\dfrac{1}{16}\bigg(2\sin \theta + \sin 3\theta -\sin 5\theta\bigg)\quad \checkmark[/tex]
In the complex number z = x + yi, what is the real part?I
Х
Y
Z
Answers
Answer:
X is the real part
Step-by-step explanation:
Write the verbal expression for each algebraic expression.
Can anyone help me with this? Thank you so much if you can!!
Answers
Step-by-step explanation:
i hope it helped you a lot. thankyou
A plant is already 55 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then use this equation to find the plant's height after 12 months. PLEASE HELP
Answers
Step-by-step explanation:
Required equation would be:
H = M + 55
Plug M = 12
H = 12 + 55
H = 67 cm
The greatest integer funtion, shown below, is defined to be the greatest ______ less than or equal to x.
f(x)={{x}}
Answers
Answer:
Integer
Step-by-step explanation:
The greatest integer function (as known as the floor function), is defined as to be the greatest integer less than or equal to x.
It is the function:
[tex]f(x)=\floor[x][/tex]
For instance, if x is 2, then f(x) is 2. If x is 2.7, then f(x) is still 2. 2 is the greatest integer less than or equal to 2.
You can also see this from the attached graph.
Given f(x) = x − 7 and g(x) = x2 . Find f(g(4)).
Answers
Answer:
f(g(4)) = 9Step-by-step explanation:
f(x) = x − 7
g(x) = x²
To find f(g(4)) we must first find f(g(x)).
To find f(g(x)) substitute g(x) into f(x) that's for every x in f (x) replace it with g(x)
That's
f(g(x)) = x² - 7
To find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4
That's
f(g(4)) = 4² - 7
= 16 - 7
We have the final answer as
f(g(4)) = 9Hope this helps you
State the range of the function y=3-x/3
Answers
Answer:
[tex](-\infty ,\infty)[/tex]
[tex]y\in \mathbb{R}[/tex]
Step-by-step explanation:
[tex]$y=3-\frac{x}{3} $[/tex]
The domain is all Real numbers.
The range is all Real numbers.
Once it is a linear an equation and there's no restriction for x, both domain and range will be all Real numbers.
From the sum of -14 and -13 subtract 22
Answers
Answer:
-49
Step-by-step explanation:
-14 + -13
A + and a - is still a - , so it can be written as -14 - 13, which is -27.
Then, -27 - 22 = -49
Answer: -49
Step-by-step explanation:
-14 + -13 = -27
-27 - 22 = -49
I hope this helps
plz mark brainleist
Help please!!! Thank you
Answers
Answer:
25
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
82,300,000 in scientific notation
Answers
Answer:
82300000 in scientific notation = 8.23 × 107.
Step-by-step explanation:
Not sure if that's right.
Answer:
8.23×10^7
Step-by-step explanation:
to convert a number i to scientific form just drag the point to first non zero digit and write it with some multiple of 10
A businesswoman in philadelphia is preparing an itinerary for a visit to six major cities. the distance traveled, and hence the cost of the trip, will depend on the order in which she plans her route. a how many different itineraries (and trip costs) are possible? b if the businesswoman randomly selects one of the possible itineraries and denver and san francisco are two of the cities that she plans to visit, what is the probability that she will visit denver before san francisco?
Answers
Answer:
A) 720 possible itineraries
B) 0.5
Step-by-step explanation:
She visited 6 cities.
A)Now, to get the number of different itineraries that are possible, we will use n! = n(n-1)(n-2)(n-3)....
In this question, n is 6
Thus;
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
B) First of all, let's calculate the number of sample points in the sample space for the number of cities visited. Since we are told that she visits san francisco and Denver, we will fix the two cities to be constant. Thus, we will have 6 cities, but permutate 4 of them. Which means, we have;
Ns = P(6, 4) = 6!/(6 - 4)! = 360
Thus;
P(visits Denver before San Francisco) = Ns/number of different itineraries that are possible = 360/720 = 0.5
What is the least positive three-digit multiple of 7?
Answers
Answer:
105
Step-by-step explanation:
15 X 7 =105
105 is the least 3 digit multiple of 7.
12 X 7 = 84
84 + 7 = 91
91 + 7 = 98
98 + 7 = 105
or use multiplication 13 X 7= 91, 14 X 7=98
15 X 7 = 105
This is guess and check until the sum or product is a 3 digit number. It helps if you know the 7 times table at least through 7 X 12 = 84.
1 point
Starting with 20 grams of starch, what percentage is left when 7 grams remain? Write your answer to two decimal points.
Answers
Answer:
35% or 0.35
Step-by-step explanation
If 20 grams is 100%, that means each gram is 5% of the whole. So 7 time 5 is 35.
Solve 1/2+3<5 i need help please on this question
Answers
Answer:
the second choice
Step-by-step explanation:
[tex] \dfrac{1}{2}n + 3 < 5 [/tex]
Subtract 3 from both sides.
[tex] \dfrac{1}{2}n < 2 [/tex]
Multiply both sides by 2.
[tex] n < 4 [/tex]
To show n < 4 on a number line, you put an open circle on 4, and you color the line to the left of 4.
Answer: the second choice
Ivan can paint 25 square feet every half hour. How many square feet can he paint in 3
hours?
Answers
Answer:
150 square feet every half hour.
Step-by-step explanation:
Answer:
150 square feet
Step-by-step explanation: