Answer:
[tex]x + 46 < 135[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Weight = 48lb[/tex]
He can lift less than 135 implies that, his maximum is:
[tex]Total < 135[/tex]
Required
Determine the additional weight
Let the additional weight be x
Such that
[tex]Total = x + Initial\ Weight[/tex]
[tex]Total = x + 46[/tex]
Substitute x + 46 for Total in [tex]Total < 135[/tex]
[tex]x + 46 < 135[/tex]
Hence, the inequality that describes the scenario is: [tex]x + 46 < 135[/tex]
Ms. Geetha said that 60 of her total students will compete in the Math Olympics. If 60 is 20% of her students, how many total students does she have?
Answer:
300 students
Step-by-step explanation:
There are two ways to solve this question.
Way Number 160 is 20% of the total students
20÷100= 0.2
60÷0.2=300
Therefore there are 300 students
Way Number 260 is 20% of the total students
60/20 = x/100
x= 60*100÷20
x= 6000÷20
x= 300
Therefore there are 300 students.
38 marbles are shared between John, David and Paul so that John gets twice as many as David. Paul gets 5 only. How many marbles does john get?
Answer:
11
Step-by-step explanation:
The total number of marbles John gets is 22 and this can be determined by forming the linear equation with help of the given data.
Given :
38 marbles are shared between John, David, and Paul so that John gets twice as many as David. Paul gets 5 only.The following steps can be used in order to determine the total number of marbles john gets:
Step 1 - Let the total number of marbles John have to be 'x', let the total number of marbles David have to be 'y', and let the total number of marbles Paul have to be 'z'.
Step 2 - So, the linear equation that represents the total number of marbles is:
x + y + z = 38 --- (1)
Step 3 - According to the given data, John gets twice as many as David, that is:
x = 2y --- (2)
Step 4 - According to the given data, Paul gets only 5 marbles, that is:
z = 5 --- (3)
Step 5 - Substitute the value of x and z in equation (1).
2y + y + 5 = 38
Simplify the above equation.
3y + 5 = 38
3y = 33
y = 11
Step 6 - Substitute the value of y in equation (2).
x = 2(11)
x = 22
So, the total number of marbles John gets is 22.
For more information, refer to the link given below:
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identify the equation in the point-slope form the line parallel to y=3/4x-4 that passes through (-1,7)
help ;w;
Daniel rode his bicycle from Barton to Wells along the path shown on this map.
If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?
I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17
Answer:
-27.6
Step-by-step explanation:
I'm smart but probably shouldn't use my answer
Find the surface area of the rectangular prism.
1 mi
1 mi
5 mi
Answer:
20mi[tex]1^{2}[/tex]
Step-by-step explanation:
Well, I'm guessing that the 1mi by 1mi is the two square sides and 5 mi is the length of the rectangular part
So with that information, the two surface areas of the squares would be 1mi[tex]1^{2}[/tex]+1mi[tex]1^{2}[/tex] is 2mi[tex]1^{2}[/tex]
And then the four rectangular sides would be 5mi[tex]1^{2}[/tex] *4 = 20mi[tex]1^{2}[/tex]
in conclusion
20mi[tex]1^{2}[/tex]
if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?
help plzzzzzz it should be easy
Answer:
uh
Step-by-step explanation:
l
Answer
1.< 2.>
Step-by-step explanation:
1. 9x4/5= 7.2<9
2. 4x6/5= 4.8>4
Reasoning How can you find the slope of the
line that passes through the points (0, 0) and
(2, 4)? Explain.
triangle TCL is similar to triangle AEN. solve for x and y
Answer:
y = 6.7
x = 8
Step-by-step explanation:
3^2 + 6*2 = y
√9 + 36 = y
6.7 = y
10^2 = 6^2 + x
100 = 36 + x
100 (-36) = 36 (-36) +x
√64 = x
8 = x
How can properties of operations be used to add expressions?
109 is 63% of what? Thx.
Answer:
109 is 63% of 173.02
Step-by-step explanation:
Let 109 = 63% of x
Thus;
63/100 * x = 109
63x = 10900
x = 10,900/63
x = 173.02
1/3 of the sum of 2 numbers is 20.One of the number is 32.What is the other number?
For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.
Answer:
8
Step-by-step explanation:
Answer:D is incorrect
Brooke needs a new computer. On Friday, the computer was $200.00. On Saturday, the price of the computer was $149.00. Determine if there was a markup or markdown and by what percent.
Answer:
Step-by-step explanation:
Given
price of the computer on Friday = $200
price of the computer on Saturday = $149
Difference in price = 200 - 149 = $51
Since the price reduces in price by $51, hence there was a markup in price.
% markup = difference in price/original price * 100%
% mark up = 51/200*100%
% markup = 51/2
% markup = 25.5%
Hence the markup was a 25.5% change
Answer:
25.5 is the answer..........................................................
Step-by-step explanation:
Please help me!!!! I will mark brainlist.
Answer:
angle 1 =135
Step-by-step explanation:
it is 180 degrees total. We know that there are two angles that have a ratio to 3:1. So, assign x to 2. Since 1 = 3x, we do 3x+x =180
4x=180
x=45 or angle 2
180-45=135 or angle 1
Multiply angle 2 by 3 to check if its correct
Answer:
the measurement of angle 1 is 135 degrees. (i think)
Step-by-step explanation:
so we know that angle 1 and 2 are at a 3:1 ratio
and that 1 and 2 add to 180 degrees
if you plug the number 45 in to angle 1, then multiply that by 3 you get 135
the remaining number to add to 180 would be angle 2
which is 45 degrees.
If the explanation is choppy or hard to read, apologies, its fairly hard for me to explain this.
however i hope this helps.
PLS HELP I AM RunNInG LOW ON PONITS AND WONT BE ABLE TP REPOst
Answer:
The answer would be D.
Step-by-step explanation:
Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4
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[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]
[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]
[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is the missing number from the following sequence?
4 7 11 18 29 47 __ 123 199 322
Answer: 76
Step-by-step explanation: 29 + 47
On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.
123
5
→
3
8
→
Martin's friend bought about
pounds of grapes.
Answer:
The answer is 123
5
→
✔ 12 1/2
3
8
→
✔ 1/2
Martin's friend bought about
✔ 6 ¼
pounds of grapes.
The number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.
Therefore, the amount that his friend bought will be:
= 3/8 × 12 3/5
= 3/8 × 63/5
= 189/40
= [tex]4\frac{29}{40}[/tex]
Hence, the number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
Learn more about fraction on:
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if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?
Answer:
$119, $7.
Step-by-step explanation:
First, we need to find the unit rate of pay, in dollars.
Divide $35 by 5 to get $7 per hour.
Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.
By doing this, we get the answer: $119.
Hope this helps! Let me know.
120-75+105 please do it in order
Answer:
150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
120-75=45
45+105=150
120-75+105=150
4.5x10^2 in standard notation
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
Simplify the expression: 3(q + 11) - 4
Answer:
8
Step-by-step explanation:
Write this statement as a conditional statement in the form “if p, then q.”
A ray divides an angle into two congruent angles. So, the ray is an angle bisector.
Answer:
if a ray divides an angle into two congruent angles, then the ray is an angle bisector.
Step-by-step explanation:
if p statement is before the comma, called the hypothesis of the conditional statement.
then q statement is after the comma and it is called the conclusion of the conditional statement.
Question is: Solve -7(x+6)=4(x+6)
[tex]\huge\boxed{x=-6}[/tex]
Hey there! Our goal here is to isolate the variable on one side of the equation.
[tex]\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}[/tex]
Answer: The answer is x=–6.
Step-by-step explanation: Step 1: Simplify both sides of the equation:
[tex](-7)(x)+(-7)(6)=(4)(x)+(4 )(6)[/tex] (Distributive Property)
[tex]-7x+-42=4x+24[/tex]
[tex]-7x-42=4x+24[/tex]
Step 2: Subtract 4x by the both sides: [tex]-7x-42-4x=4x+24-4x[/tex]
[tex]-11x-42=24[/tex]
Step 3: Add 42 to the both sides: [tex]-11x-42+42=24+42[/tex]
[tex]-11x=66[/tex]
And step 4: Divide both sides by -11: [tex]\frac{-11x}{-11}=\frac{66}{-11}[/tex], [tex]x=-6[/tex].
I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D
can you help me solve this question?
The y intercept is 4. M=2/3
Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?
Answer:
Total earned= $273
Step-by-step explanation:
Giving the following information:
Regular labor hours= $5.25
Overtime labor hours= $5.25*1.5= $7.875
To calculate the total earned, we need to use the following formula:
Regular labor hours= 40*5.25= 210
Overtime labor hours= 8*7.875= 63
Total earned= 210 + 63
Total earned= $273
Factorise x cube -2x square -5x plus 6
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
The track at Bronwyn’s school is ¼ mile around. If she can do 3 laps in 4 ½ minutes,
how fast is she running in miles per hour?