Answer:
3.25
Step-by-step explanation:
If we are rounding to the hundreds place, we look at the thousandths place or the 6. Since 6>=5 we will round up. The 4 will become a 5
3.246 rounds to 3.25
Answer:
3.25
Step-by-step explanation:
AS the digit after 4 is 6 we round up the 4.
Please help with this math problem for trig. A 6 m ladder is leaning against a wall. The base of the ladder is 1.5 m from the wall. Calculate how high up the wall the ladder reaches.
Answer:
a = 5.81 m
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
where b= 1.5 and c= 6
a^2 +1.5^2 = 6^2
a^2 +2.25 = 36
Subtract 2.25 from each side
a^2 +2.25-2.25 = 36-2.25
a^2 = 33.75
Take the square root of each side
sqrt(a^2) = sqrt(33.75)
a = 5.809475019
We only take the positive root because length must be positive
1.4 divided by 0.7 in a model
Answer:
Step-by-step explanation:
9x-6a=-7,find x when a =-7
Answer:
Step-by-step explanation:
Plug in -7 for the variable a.
9x - 6(-7) = -7
Follow PEMDAS. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Multiply -6 with -7
9x - 6(-7) = -7
9x + 42 = -7
Isolate the variable x. Subtract 42 from both sides
9x + 42 (-42) = -7 (-42)
9x = -49
Divide 9 from both sides
(9x)/9 = (-49)/9
x = (-49)/9
x = ~5.44 (rounded)
~
Harold can buy 2 pounds of bananas for $7. Write and equation to represent the cost , c , for b bananas
Jack makes W dollars an hour. He will get a $2 an hour raise. Write an expression for his new hourly wage
Answer:
2w
Step-by-step explanation:
you multiply 2 by how many hours you have worked (w)
PLZ DO ASAP NEED LIKE NOW HELP ME PLZ
What is the equation of this graphed line? y = mx + b m is the slope b is the y intercept (where does the line cross the y - ordered pair) x and y can be a point on the line m = y2 - y1/x2 - x1 A graph with a line running through coordinates (-4, -6) and coordinates (2, 6) Enter your answer in slope-intercept form in the box.
Answer:
y = 2x+2
Step-by-step explanation:
When we have 2 points, we can find the slope from
m = (y2-y1)/(x2-x1)
= (6--6)/(2--4)
= (6+6)/(2+4)
= 12/6
= 2
The slope is 2
We can use the point slope form of the equation for a line
y-y1 = m(x-x1)
y-6 = 2(x-2)
We need to get this in slope intercept form
Distribute the 2
y-6 = 2x-4
Add 6 to each side
y-6+6 = 2x-4+6
y = 2x+2
Answer:
y = 2x + 2
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + b ( m is the slope and b the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, 6)
m = [tex]\frac{6+6}{2+4}[/tex] = [tex]\frac{12}{6}[/tex] = 2, hence
y = 2x + b is the partial equation
to find b substitute either of the 2 points into the partial equation
using (2, 6), then
6 = 4 + b ⇒ b = 6 - 4 = 2
y = 2x + 2 ← equation in slope-intercept form
George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money. 15 - 9 + 2.65 + 1.35 + 2(1.74) Use the order of operations to simplify this expression.
Answer:
13.48
Step-by-step explanation:
No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).
Given that, George has $15.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The numerical expression for the given situation is
15 - (9+2.65+2(1.35)+2(1.74))
= 15 - (9+2.65+2.7+3.48)
= 15 - 17.83
= -2.83
No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).
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1. find the product and write it in simplest form: 1 1/3 x 3/8 =
a. 1/2
b. 3 5/9
c. 7/24
d. 1 1/3
2. find the quotient and write it in simplest form: 1 2/3 ÷ 2 1/2
a. 4 1/6
b. 2/3
c. 3 2/6
d. 10/15
3. find the quotient and write it in simplest form: 4/9 ÷ 9/4
a. 1
b. 8/9
c. 4/9
d. 16/81
4. the number 7 is the multiplicative inverse of which number?
a. 1/7
b. 7
c. - 1/7
d. - 7
5. simplify using the order of operations 3 x 7² + 4
a. 151
b. 445
c. 625
d. 159
6. using the order of operations, which operation should be performed first? 3(7+2²) - 5
a. 7 + 2
b. 2²
c. 3 x 7 and 3 x 2
d. 11 - 5
7. which operation should be performed immediately after evaluating exponents using the order of operations?
a. addition & subtraction in order from left to right
b. multiplication & division in order from left to right
c. parentheses
d. powers
Answer:
The answer to number 1 is A.
Step-by-step explanation:
To find this answer, I made 1 1/3 into one big fraction. I multiplied the denominator by the whole number (3x1) and then added that product to the numerator. (3+1). The new fraction is now 4/3 (you keep the denominator the same). The next step is to multiply 4/3 by 3/8. When multiplying fractions, you multiply straight across (the numerator by the numerator, and the denominator by the denominator). Your answer is now 12/24. The final step is to simplify the answer. Since 12 is half of 24, the answer is 1/2.
A train leaves train station A and heads due west for 105 miles to reach train station B. Another train leaves train station A at the same time and travels 85 miles to train station C in a direction 45 north of west from station A. To the nearest mile, how far is train station C from train station B? 75 miles 109 miles 135 miles 176 miles
Answer:
135 Miles
Step-by-step explanation:
Answer:
At the nearest mile, stations B and C are 75 miles apart.
Step-by-step explanation:
In the attached image we can see all the three stations. The closest distance between stations B and C would be a straight line that can be calculate using the Cosine Rule:
[tex](BC)^2=(AB)^2+(AC)^2-2(AB)(BC)cos(\alpha)[/tex]}
Where:
AB is the distance between stations A and B
AC is the distance between stations A and C
α is the angle formed between the AC and AB railway lines
[tex](BC)^2=(105)^2+(85)^2-2(105)(85)cos(45)[/tex]
[tex]BC=75.02 miles[/tex]
So, at the nearest mile, stations B and C are 75 miles apart.
A clerk has 1/2 book of stamps on Monday. On Tuesday, he used 1/10 of the book of stamps. How much of the book of stamps is left?
A 3/10 of the book
B 2/5 of the book
C 3/5 of the book
D 9/10 of the book
Answer: B. 2/5 of the book.
In which number is the value of the 7 ten times the value of the 7 in the number 1,273
Answer:
Your answer would require a 7 in the hundreds place
Step-by-step explanation:
1,273
The 1 is in the thousands place. 1 * 1000
The 2 is in the hundreds place. 2 * 100
The 7 in in the tens place. 7 * 10
The 3 is in the ones place. 1 * 1
To get from 10 to 100, we would multiply by 10, so to get from the tens place to the hundreds place is 10 times greater.
Your answer would require a 7 in the hundreds place
In the number system, each place to the left is ten times the place to its right. Therefore, for the value of the 7 to be ten times greater than the 7 in 1,273, it must be in the tens place, such as in numbers like 702, 770, or 170.
Explanation:The value of a digit in a number depends on its place or position. In the number system, each place is ten times the place to its right. Therefore, in the number 1,273, the value of the 7 is simply 7 (because it's in the units place). However, for the 7 in the new number to be ten times greater than the 7 in 1,273, it must be in tens place. Therefore, the new number could be 7x10 = 70 (with the 7 in the tens place). So, any number with 70 in the tens place (like 702, 770, or 170) has a 7 that's ten times the 7 in 1,273.
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7y+44=12y+11, I need help!
Answer:
y = 33/5 or 6.6
Step-by-step explanation:
7y + 44 = 12y + 11
-11 -11
7y + 33 = 12y
-7y -7y
33 = 5y
Divide both sides by 5
= 33/5 or 6.6
Answer:
[tex]y=6\frac{3}{5}[/tex]
Step-by-step explanation:
We are given the following equation for which we have to solve for y:
[tex]7y+44=12y+11[/tex]
So first of all, we will rearrange the terms by putting the like terms together (variables on one side of the equation and constants on the other side) to get:
[tex]12y-7y=44-11[/tex]
Then solving for y:
[tex]5y=33\\\\y=\frac{33}{5}[/tex]
Therefore, the value of y is equal to [tex]y=6\frac{3}{5}[/tex] (rewriting y in a mixed fraction form).
What is the slope of the following?
9x + 4y = -36
Answer: The slope to the equation 9x + 4y = -36 is m=-9/4
Use the slope intercept form to find the slope, and the form being y=mx+b.
Hope this helps! :)
Can someone help me please
Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference. How many rotations does each wheel make while Shawn is coasting down the ramp?
Answer: About 16
Step-by-step explanation:
Given : The length of the ramp = 500 cm
The circumference of the wheel = 32 cm
We know that the number of rotations made by a wheel is given by :-
[tex]\text{No. of rotations}=\text{Length of the ramp}\div\text{ Circumference of wheel}[/tex]
Therefore , the number of rotations made by each wheel = [tex]500\div32[/tex]
[tex]=15.625\approx16[/tex] [Rounded to the nearest integer.]
Hence, each wheel will make about 16 rotations while Shawn is coasting down the ramp.
graph the equation y=2x-3 using slope and y-intercept
Answer: The slope of the graph is 2x. In other words, rise over run: move up 2 and move to the right 1 because it is 2 over 1. The y-intercept is -3, which means you move down 3 on the y-axis.
Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = [tex]( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} )[/tex].
But, [tex]\frac{-8k-3}{k+1}[/tex] = -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. [tex]k = \frac{3}{2}[/tex]
So, the ratio is k : 1 i.e [tex]\frac{3}{2} : 1[/tex] i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, [tex]\frac{9k-1}{k+1}[/tex] = m where [tex]k = \frac{3}{2}[/tex]
i.e. m = [tex]\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}[/tex]
i.e. m = [tex]\frac{27-2}{3+2}[/tex]
i.e. m = [tex]\frac{25}{5}[/tex]
i.e. m = 5.
Hence, the value of m is 5.
Answer:
m=5
Step-by-step explanation:
Given: Point [tex]C(x_3,y_3)=(-6,m)[/tex] divides the join of point [tex]A(x_1,y_1)=(-3,-1)[/tex] and point [tex]B(x_2,y_2)=(8,9)[/tex]
Let the line AB divides by Point C in a ratio m:n=k:1
Then, Using section formula [tex](x_3,y_3)=\frac{x_1n+x_2m}{m+n},\frac{y_1n+y_2m}{m+n}[/tex]
Applying formula,
[tex]x_3,y_3=\frac{x_1n+x_2m}{m+n},\frac{y_1n+y_2m}{m+n}[/tex]
[tex]x_3,y_3=\frac{-8k-3}{k+1},\frac{9k-1}{k+1}[/tex]
But, [tex]x_3=-6[/tex]
Therefore, [tex]x_3=\frac{-8k-3}{k+1}[/tex]
[tex]-6=\frac{-8k-3}{k+1}[/tex]
[tex]-6k-6=-8k-3[/tex]
[tex]2k-3=0[/tex]
[tex]k=\frac{3}{2}[/tex]
Therefore, C divides line AB in 3:2
Now, [tex]m=\frac{9k-1}{k+1}[/tex] where, k=3/2
[tex]m=\frac{9\frac{3}{2}-1}{\frac{3}{2}+1}[/tex]
[tex]m=\frac{\frac{25}{2}}{\frac{5}{2}}[/tex]
[tex]m=\frac{25\times2}{2\times5}[/tex]
[tex]m=5[/tex]
Another math question because that’s my weak point 30 points
Answer:
4j-3 = j is an equation
2 + 66÷11 -3*2 is an expression
g+h>f is an inequality
Step-by-step explanation:
An equation has an equals sign =
An expression has no equals sign or greater or less than signs
An inequality has ( ≤,≥,<,>) greater than or equal to, less than or equal to, greater than, less than signs
Is my answer correct
Answer:
yes
Step-by-step explanation:
the box would typically be closer to the left than in the middle
Answer:
Yes you are correct because the box plot's data is skewed left
Step-by-step explanation:
Your welcome and don't forget to say Thanks
Which exponential expression represents the numerical expression 7.7.7.7 ?
Answer:
7^4
Step-by-step explanation:
We are multiplying 7 together 4 times
7*7*7*7
The exponent represents how many times we are multiplying it together.
7^4
Answer:
[tex]7^4[/tex]
Step-by-step explanation:
A mathematical expression written in the form [tex]a^x[/tex] is said to be an exponential expression where [tex]a[/tex] is a constant called the base and [tex]x[/tex] is a variable.
Here we are given a numerical expression 7.7.7.7 which can also be converted into an exponential expression where base would be 7 while the value of its exponent will be 4 since the number 7 is occurring 4 time.
Therefore, the exponential expression will be [tex]7^4[/tex]
Twice the sum of a number and eleven is twenty-two less than three times the number. Find the number.
Write Y=3x^2+6x+8 In Vertex form
A hot air balloon rose from ground level to 1000 feet in order to pass over a mountain. The balloon then descended 800 feet to a cruising height.
Answer:
200ft.
Step-by-step explanation:
It's 200ft because you just do 1000 - 800 = 200ft
Answer:
200
Step-by-step explanation:
Which is the graph of f(x)= 4[1/2]^x ?
Answer:
B
Step-by-step explanation:
A
f(1) = 4*(1/2)^1 = 4/2 = 2
(1,1) is not the same thing.
B
B is the answer.
C
f(0)=4 not 2 C is incorrect. C is not the answer
D
Same problem as C
van someone please help me with this i dont need an explaination i just need a. b. c. or d. please and thank you
Answer:
option C
[tex]f(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
we have
[tex]f(x)=-2\sqrt{x-3}+8[/tex]
using a graphing tool
see the attached figure N[tex]1[/tex]
The range is the interval--------> (-∞,8]
[tex]y\leq 8[/tex]
case A) [tex]f(x)=\sqrt{x-3}-8[/tex]
using a graphing tool
The range is the interval--------> [-8,∞)
[tex]y\geq -8[/tex]
case B) [tex]f(x)=\sqrt{x-3}+8[/tex]
using a graphing tool
The range is the interval--------> [8,∞)
[tex]y\geq 8[/tex]
case C) [tex]f(x)=-\sqrt{x+3}+8[/tex]
using a graphing tool
The range is the interval--------> (-∞,8]
[tex]y\leq 8[/tex]
case D) [tex]f(x)=-\sqrt{x-3}-8[/tex]
using a graphing tool
The range is the interval--------> (-∞,-8]
[tex]y\leq -8[/tex]
2 Emma buys 33 yards of blue fabric and some yellow fabric at a store. She buys a total of 53 yards of fabric. The equation 1 2 5333can be used to represent this situation, where y is the number of yards of yellow fabric she buys. How much yellow fabric does she buy?
Step-by-step explanation:
your answer is 99
As a clinical trials monitor, you recruit subjects for a new study. You want 175 subjects per group for 3 groups. How many subjects should you recruit for the whole study?
Answer:
You should recruit a total of 525 subjects for the whole study.
Step-by-step explanation:
The question states that you want 175 subjects per group for 3 groups. This indicates that we need to either multiply 175 times 3, or we can add 175 three times to get the total number of subjects we would need to recruit. Group 1 should have 175, Group 2 should have 175 and Group 3 should have 175. Whether we multiply 175 x 3 or add 175+175+175, we get a final anser of 525.
Find (12x+12)−(−5x+8). step by step answers please.
Answer:
Step-by-step explanation:
First add 5x to 12x which becomes 17x and subtract 8 from 12 which becomes 4. So the answer is 17x+4!
A system of equations is graphed on a coordinate plane.
Which coordinates are the best estimate of the solution to the system of equations?
(6, 0)
(0, 5)
(1, 4)
(1, 5)
Answer:
Option C is correct.
(1, 4)
Step-by-step explanation:
A system of equation is given :
2x + 3y =12 .....[1]
4x + 2y =10 .....[2]
Multiply equation [1] by 2 both sides we get;
[tex]2(2x+3y) = 2(12)[/tex]
Using distributive property i,e [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]
4x + 6y = 24 .....[3]
Subtract equation [2] from [3] to eliminate x we get;
4x + 6y - 4x - 2y= 24 - 10
Combine like terms;
4y = 14
Divide both sides by 4 we get;
y = 3.5
Substitute the value of y in equation [1] we have;
2x + 3(3.5) =12
2x + 10.5 = 12
or
2x = 12 -10.5
2x = 1.5
Divide both sides by 2 we get;
x = 0.75
Solution = (0.75 , 3.5)
Best estimate solution = (1, 4)
Therefore, the best estimate solution of the given system of equation is, (1, 4)
Answer:
1,4 is the best estimate.
Step-by-step explanation:
Rafael's art class is 6 hours long. How long is his class in minutes?
Answer:
360 Minutes Long
Step-by-step explanation:
There are 60 minutes in an hour. Multiply 60*6, and you get 360 minutes.
Answer:
The art class would be 360 mins long.
Step-by-step explanation: