Hi There!
Given:
803 pages in a book
To Find:
How many days will it take for Mike to finish reading the book, if he reads 36 pages a day?
In order to find the number of days, take the total number of pages and divide it by the number of pages read a day:
803÷36≈22
Answer: It will take Mike 22 days to finish reading the book.
Hope it helps!Have an awesome day!
[tex]\huge\textbf{TheStarryNights}[/tex]
2xy (8x-3y) the answer?
Trey weighs 7 pounds less than his brother. Together they weigh 119 pounds. How much does Trey weigh?
Answer:
56
Step-by-step explanation:
T+B = 119
T=B-7
B-7 + B = 119
2B = 126
B = 63 years old
T= 63-7 = 56 years old
Solve using log
Help would be much appreciated
Answer:
5.2812
Step-by-step explanation:
[tex]10^{x-3.6}-7=41[/tex]
Add 7 to both sides:
[tex]\implies 10^{x-3.6}=48[/tex]
Taking logs of base 10:
[tex]\implies \log_{10}10^{x-3.6}=\log_{10}48[/tex]
Apply log rule [tex]\log a^b=b \log a[/tex]:
[tex]\implies (x-3.6)\log_{10}10=\log_{10}48[/tex]
Apply log rule [tex]\log_aa=1[/tex]:
[tex]\implies (x-3.6)\times 1 =\log_{10}48[/tex]
Simplify and solve:
[tex]\implies x-3.6=\log_{10}48[/tex]
[tex]\implies x=\log_{10}48+3.6[/tex]
[tex]\implies x = 5.281241237...[/tex]
[tex]10^{x-3.6}-7=41[/tex]
Use the rules of exponents and logarithms to solve the equation.
[tex]10^{x-3.6}-7=41[/tex]
Add 7 to both sides of the equation.
[tex]10^{x-3.6}=48[/tex]
Take the logarithm of both sides of the equation.
[tex]log(10^{x-3.6})=log(48)[/tex]
The logarithm of a number raised to a power is the power times the logarithm of the number.
[tex](x-3.6)log(10)=log(48)[/tex]
Add 3.6 to both sides of the equation.
[tex]x=log(48)-(-3.6)[/tex]
Solve by first finding [tex]log(48)[/tex] then subtract [tex](-3.6)[/tex] from the answer:
1. [tex]log(48)=1.6812412373755872181499834821531[/tex]
Now just solve the equation:
[tex]1.6812412373755872181499834821531 - (-3.6)=5.2812412373755872181499834821531[/tex]
Your answer is C. [tex]5.2812412373755872181499834821531[/tex] or [tex]5.2812[/tex]
A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split the bill and tip evenly among themselves. One of the friends used the equation One-fourth (t 34) = StartFraction 40 over 4 EndFraction to represent the situation, where t represents the total amount of the tip. Which describes the amount each friend paid for the food and for the tip? Each friend paid $8. 50 for the food and $1. 50 for the tip. Each friend paid $10. 00 for the food and $6. 00 for the tip. Each friend paid $8. 50 for the food and $6. 00 for the tip. Each friend paid $10. 00 for the food and $1. 50 for the tip.
The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.
What is division?The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.
As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,
Tip = Total spent - Food bill
Tip = $40 - $34
Tip = $6
Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,
[tex]\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5[/tex]
Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,
[tex]\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5[/tex]
Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.
Learn more about Division:
https://brainly.com/question/369266
Point M( -3, -2) is rotated 270° counterclockwise and then reflected over the x-axis. What are the coordinates of M'?
Rotation involves moving a point around a center
The coordinates of M" are (-2,-3)
How to determine the coordinates of M'The pre-image M is given as:
M =(-3,-2)
The rule of 270 degrees counterclockwise rotation is:
[tex](x,y) \to (y,-x)[/tex]
So, we have:
M' = (-2,3)
The rule of reflection over the x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
M" = (-2,-3)
Hence, the coordinates of M" are (-2,-3)
Read more about rotation at:
https://brainly.com/question/4289712
Please help! 20 points thanks :)
Answer:
D) There is not enough info to tell (sike maybe not the asnwer)
B) b (bbbbbbbbbbb)
Step-by-step explanation:
SiiiKE, not D) I think but My first thought is D but I know it is not D unless it is another answer BUT I think it is B My final answer is B) b
Sam is having a party and he will make 14 hamburgers. Each hamburger requires 2 7 pounds of meat. How much meat does Sam need in total for the party?
Answer:
I really don't know i need the answer as well
Step-by-step explanation:
The sum of three numbers is 24. Twice the smallest number is 2 less than the largest number. The largest number is equal to the sum of the smallest and middle number. What are the three numbers?.
Known information:
the sum of three numbers: 24the smallest number is 2 less than the largest numberthe largest number is equal to the sum of the smallest and middle number.Let us set up some variables for our terms:
smallest number --> Smiddle number --> Mlargest number -- LLet us set up some equations in terms of our known information
S + M + L = 24S = L - 2L = S + MLet us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:
(S + M) + L = 24 ---> L + L = 24
2L = 24
L = 12
Since L = 12, we know that S = L - 2:
S = L - 2 = 12 - 2 = 10
Since now we know that L = 12, and S = 10, and L = S + M:
L = S + M
12 = 10 + M
M = 2
So our answer is 2, 10, 12
Hope that helps!
A group went together to the Clayton Art and Wine Festival. They bought 30 tickets. Child tickets are $2 each and Adult tickets are $4. 50 each. If they spent $107. 50 total, how many of each type of ticket did they buy?
Answer:
they bought 23 adult tickets and 2 child tickets
Step-by-step explanation:
the explanation is in the screenshot below
please mark brainliest
Please help! 20 points thanks :)
Answer:
C) [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Slope can be found using the change in y over the change in x
-> See attached, it is difficult to type out here
[tex]\frac{-5--2}{3--1} =\frac{-5+2}{3+1} =\frac{-3}{4}[/tex]
Giving us an answer of C) [tex]\frac{-3}{4}[/tex]
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug the given coordinates into the equation:
[tex]Slope=\frac{-5-(-2)}{3-(-1)}=\frac{-5+2}{3+1}=\frac{-3}{4}=-\frac{3}{4}[/tex]
What is the value of x?
\log _3x=4
Answer:
x = 81
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
[tex]log_{3}[/tex] x = 4 , then
x = [tex]3^{4}[/tex] = 81
Can a triangle have sides with the given lengths?
(a) 4, 7, 10
(b) 8, 9, 17
Answer:
yes it can be scaline triangle
1+1 x 12+1348 please help
Answer:
1,372
Step-by-step explanation:
Because what is 1 + 1
1 + 1=2 what is 2 x 12
12 x 2=24 what is 1,348 + 24
1,348 + 24 =1,372
Hope this helps have a great day:)
Answer:
1361Step-by-step explanation:
1+1 x 12+1348 please help
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. For any expression, all exponents should be simplified first, followed by multiplication and division from left to right and, finally, addition and subtraction from left to right.
1 + 1 * 12 + 1348 =
1 + 12 + 1348 =
13 + 1348 =
1361
A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Xin measures the distance from
the pole to the stake and from the pole to the tower, as shown in the diagram below.
Find the length of the guy wire, to the nearest foot.
Answer:
122ft
Step-by-step explanation:
(Note that this is just a logical guess, I do not remember learning how to do this)
We are given the length of the pole and the length of the guy wire after the pole. This gives us a right angle triangle where we know two of the sides. We can the other two sides into the Pythagorean theorem to solve for the diagonal side
recall:
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
plugged in 12ft and 2ft we get:
[tex] {(12)}^{2} + {(2)}^{2} = 148[/tex]
to solve for the diagonal side we take the square root of 148
[tex] \sqrt{148} = 12.17[/tex]
so now we know that 12.17 ft of wire is equivalent to 2 feet on the ground.
[tex] \frac{12.17ft \: wire}{2 \: ft \: ground} [/tex]
We have a total of 20 feet, so we multiply this proportion by 20:
[tex] \frac{12.17}{2} \times 20 = 121.7[/tex]
we are asked to give to the nearest foot so we round up to 122ft
What kind of triangle is never wrong?
obiously
right angle triangle
because it has always 90°
The sum of the squares of 4 consecutive integers is an even integer.
Answer:
yes
Step-by-step explanation:
Let's call the first integer n and let's compute.[tex]n^2 + (n+1)^2 + (n+2)^2 +(n+3)^2 = \\n^2 + \\n^2+2n+1 + \\\ n^2+4n+4 + \\\ n^2+6n+9+\\\ n^2+8n+16 =\\4n^2+20n +30 = 2 (2n^2+10n+15)[/tex]
Which is indeed of the form 2(something), so it is even.
What is an equation of the line that passes through the points (6,2) and
(7, 1)?
(Giving brainliest )
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8[/tex]
A bakery sold 119 cupcakes in one day. The head baker predicted he would sell 99 cupcakes that day.
Answer:
soln,
=119+99
=218 answer
What is the area of the polygon
Answer:
42m2
Step-by-step explanation:
9x4=36m2
3x2x0.5=3m2x2=6m2
36+6=42m2
A formula for finding the perimeter of a rectangle is P = 2L + 2W. If you know the perimeter (P) and length (L) of a rectangle, which formula can you use to find the width (W)?
Answer:
p/2 - L = W
Step-by-step explanation:
P = 2L + 2W
Subtract 2L from both sides
P - 2L = 2W
Divide both sides by 2
p/2 - L = W
Answer:
p/2 - L = W
Step-by-step explanation:
HELP PLEASE-
NEED QUICK
Answer:
20 is A 3.7
21 is D 18.7
22 is C 8.8
23 is A 3.6
24 is D 11.6
25 is A 2.7
I hope this helps!!
If you deposit $8300 earning 2% interest compounded continously, how much would you have after 6 years?
Find each unknown angle measurement.
Answer:
angle(2) = 118 degree
angle(3) = 118 degree
angle(4) = 62 degree
Step-by-step explanation:
To find angle 2 :
[tex]62 + angle{2} = 180 \\ angle{2} = 180 - 62 = 118 \: degree[/tex]
The rule (head to head):
angle(2) = angle(3) = 118 degree
And the last one is angle(4) which is the same thing:
angle(4) = angle(1) = 62 degree
B --2x > 10
( it's a line under the more or less that sign)
Answer:
Step-by-step explanation:
please help me with this question
Answer:
$37.50
Step-by-step explanation:
The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3 miles, how far did Amir run?
Answer:.
1.5 miles
Step-by-step explanation:
1 inch = 3 miles
0.5 inches = X miles
X=3(0.5) = 1.5
can 8 11 and 14 be sides lengths of a triangle
Answer:
yes
Step-by-step explanation:
For the lengths to be the sides of a triangle.
The sum of any 2 must be greater than the third.
8 + 11 = 19 > 14
8 + 14 = 22 > 11
11 + 14 = 25 > 8
Then the 3 lengths can form the sides of a triangle
Answer:
Yes, it can be the sides of a scalene triangle.
Step-by-step explanation:
Because the sides and the angles of a scalene triangle are different.
How do i solve and graph 3/4x + 8 < 41 on a number line
Answer:
get the inequality first ! x<44
Step-by-step explanation:
3/4x+8<41 ( subtract 8 from both sides. 8 cancels out. and 41-8=33 )
3/4x<33 ( multiply both sides by 4/3)
3/4 ×4/3 = 1
33×33 =44
x<44
and to graph it your line should have a open circle on 44 and point to the left.
kinda like this:
<—————○
What is the equation for the line in slope-intercept form?
Answer:
the equation is y = 8x
Step-by-step explanation:
so rn we know that the y-intercept 0 so we can write:
y = mx
now to find the slope we need to use the equation y2 - y1/ x2 - x1
lets use the points
(2, 16) and (-2, -16) sooo
16 - (-16) / 2 - (-2)
32/4
8
HELP PLEASEㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
A. B ⇔ Y
Step-by-step explanation:
The names of congruent triangles list corresponding vertices in the same order. Here, when we say ΔABC ≅ ΔXYZ, we mean the triangles have corresponding vertices ...
A ⇔ X
B ⇔ Y . . . . . . answer choice A.
C ⇔ Z