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[tex]4(x + 5) = 40[/tex]
Divide sides by 4
[tex] \frac{4}{4} \times (x + 5) = \frac{40}{4} \\ [/tex]
[tex]x + 5 = 10[/tex]
Subtract sides 5
[tex]x + 5 - 5 = 10 - 5[/tex]
[tex]x = 5[/tex]
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CHECK :
[tex]4(5 + 5) = 40[/tex]
[tex]4 \times 10 = 40[/tex]
[tex]40 = 40[/tex]
Thus the solution is correct.
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Done...
Brooklyn had 4.52 inches of rain in April. In May it rained 5.23 inches and 3.41 inches of rain in June. How much rain did the city have during this three-month period?
Answer:
[tex]Total = 13.16\ in[/tex]
Step-by-step explanation:
Given
[tex]April = 4.52\ in[/tex]
[tex]May = 5.23\ in[/tex]
[tex]June = 3.41\ in[/tex]
Required
Determine how much rain the city had
To do this, we simply sum the rainfall in the three months
[tex]Total = April + May + June[/tex]
[tex]Total = 4.52\ in + 5.23\ in + 3.41\ in[/tex]
[tex]Total = 13.16\ in[/tex]
Hence:
13.16 inches of rain fell
Answer:
Step-by-step explanation:
im not suree
Plot the points (-6,8) and (0,8) on the coordinate plane below.
What is the distance between these two points?
units
The points (-6,8) and (0,8) are coordinate points, and the distance between the points (-6,8) and (0,8) is 6 units
The distance between the two pointsThe points are given as:
A = (-6,8)
B = (0,8)
The distance between the points is calculated using:
[tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]d= \sqrt{(-6 - 0)^2 + (8 -8)^2}[/tex]
Evaluate
d = 6
Hence, the distance between the points (-6,8) and (0,8) is 6 units
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Tara can type 180 words in 4 minutes. At this rate, how many words would you expect her to type in 10 minutes?
Answer:
450 words in 10 minutes
Step-by-step explanation:
To set this up you need to put it like this:
[tex]\frac{180}{4}[/tex] = [tex]\frac{x}{10}[/tex]
From here, you need to cross multiply, which will get you to: 180(10) = 4x
Multiply 180 and 10: 1,800
The equation will now be: 1,800 = 4x
Now, divide both sides by 4: 450 = x
The required word that tara would type in 10 minutes is 450 words.
Given that,
Tara can type 180 words in 4 minutes. At this rate,
To determine how many words would you expect her to type in 10 minutes.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The rate of typing = 180 / 4 = 45 word per minute
Now a number of words typed in 10 minutes,
= 10 * 45
= 450 words per minute,
Thus, the required word that tara would type in 10 minutes is 450 words.
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I am unable to understand how to solve this question, please send the working out.
Answer:
[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]
Step-by-step explanation:
(x – 10) + (3x – 6) =
please someone help?
Answer:
4x-4
Step-by-step explanation:
x-10+3x+6=4x-4
Hope helps :3
Answer: 4x-16
Step-by-step explanation:
What is another way to write 75?
5+5+5+5+5+5+5
7×7×7×7×7
5×5×5×5×5×5×5
7+7+7+7+7
Answer:
3 • 25
Step-by-step explanation:
3 25 times also makes 75
6. Determine the value of x and y in the diagram below.
Show how you determined the value of x and y using Algebra
Answer:
y=43
X=34
Step-by-step explanation:
a) 2y+4=90
2y+4-4=90-4
2y=86. divide 86 by 2 to get y.
b) 3x-11=90
3x-11+11=90+11
3x=101. divide 101 by 3 to get X.
Find the length of the segment AB
-4 to 2
The length is I (Type an integer or a decimal.)
Answer:
The length of AB is positive 6
Zarah earns a weekly salary of $645 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $2,200 worth of merchandise? Zarah would earn $ _________ for that week.
Find 12% of 200 plz help ty
Answer:
Step-by-step explanation:
to find this, you would do multiply the two since "of" means multiply
12% of 200
.12(200)
24 is your answer
−5x + 8 ≤ −2x + 23 was solved by dividing each side of the inequality by −3 in the last step. Is there another way to solve this inequality so that you can avoid dividing by a negative number? Explain.
Answer:
x≥−5
Step-by-step explanation:
Neil's bank offered him a 4.95% interest rate for his mortgage. If he
purchases 3 points, what will his new rate be?
O A. 0.375%
O B. 4.575%
C. 1.75%
O D. 4.375%
Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.
How to calculate the interest rate?To calculate the new interest rate after purchasing points, we need to know the cost of one point and the number of points purchased.
One point typically costs 1% of the mortgage amount, so three points would cost 3% of the mortgage amount. The cost of the points is usually paid upfront at closing.
Assuming Neil's mortgage amount is $100,000, the cost of 3 points would be:
3% x $100,000 = $3,000
To calculate the new interest rate, we need to add the cost of the points to the original interest rate and then recalculate it as a percentage:
New rate = Original rate + (Cost of points / Mortgage amount)
New rate = 4.95% + ($3,000 / $100,000)
New rate = 4.95% + 3%
New rate = 7.95%
So, Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.
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Lynn bought 3 bags of chips for $1.86 each and 2 bottles of apple juice for $3.27 cach. If the tax on the items was $0.43, what was the total amount she spent?
Answer:
for the chips she spent $5.15 and for the apple juice she spent $6.11
Step-by-step explanation:
1.86*3=5.58
5.58-0.43=5.15
3.27*2=6.54
6.54-0.43=6.11
14. Write a description of the rule (x,y) (x + 10, y + 8)
a translation 10 units to the right and 8 units up
b. translation 10 units left and 8 units down
c. translation 10 units to the right and 8 units down
d. translation 10 units to the left and 8 units up
Answer:
A
Step-by-step explanation: took the test
Find the measure of the exterior angle
Answer:
A exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
please help me asap.
Answer:
it would for sure be a
Step-by-step explanation:
insert parenthesis in the following problem to make it true.
7 – 2 x 2 – 1 = 9
help me!!!
Answer:
(7-2) x 2 -1 = 9
Step-by-step explanation:
(7-2) = 5 x 2 =10 -1 = 9
can someone help me please
Answer:
greg
Step-by-step explanation:
heffly is a sociopath. he shall burn in the gates of hell
Alba worked for 6 hr and 45 min at $10.90 per hour. What numbers could she use to estimate how much money she earned? Estimate the amount she earned and state whether you think the exact amount is a little more or a little less than your estimate
Answer:
Step-by-step explanation:
If we're going by estimation, then you can do 11 and 7 hours, meaning that she would make 77 for the 7 hours but the exact answer would be a bit less than the estimation
10.9 times 6.75 is 73.58 roughly. so 3 dollars and 42 cents off
Answer:
1. She could use 7 hours and 11 dollars per hour.
2. $77 (7x11)
3 I'd say my estimate is a little more than the exact amount because I did 6.75 (6.75 because 45 minutes is 75% of a hour) x 10.90 and got 73.575.
What is the measure of the angle? Enter the answer in the box.
degrees
Answer:
you have to use the protractor tool
Evaluate the function requested. Write your answer as a fraction in lowest terms. find cos B
Answer:
what? please give more details
Step-by-step explanation:
Answer: A
Step-by-step explanation:
see pictures
Complete the solution of the equation. Find the value of Y when X equals 5. X-5y=45
Answer:
y = -8
Step-by-step explanation:
5 - 5y = 45
-5y = 40
y = -8
Answer:
-8
Step-by-step explanation:
replace X with 5
subtract 5 from both sides of the equation:
-5y = 40
divide by - 5
y = -8
What would be the slope of the line perpendicular to the line y=3/5x-5
Answer:
y=-3/5x-5
the slope would be -3/5
49 increased by twice a number m
Answer:
49+2m
Step-by-step explanation:
49 is increased by twice a number m
Hope this helps!
A line passes through (2, −1) with slope 3. What is the equation of the line in slope-intercept form? A. y=3x+5 B. y=3x−7 C. y=13x+5 D. y=−13x
Answer:
B
Step-by-step explanation:
y=3x+a
3*2+a=-1
a=-7
Rani bought 3 shirts for $9 each. Which equation can be used to find the total cost of the shirts, c?
Answer:
3(9) =c
Step-by-step explanation:
Answer:
3(c)=total cost
Step-by-step explanation:
If 3 shirts = $9
then 1 shirt = $3
c shirts= $3(c)
Helppppppppppppppppppppppppp
Laurie wants to put a portable cellular phone mini-tower on her roof. the tower cannot be placed higher than 30 feet. the slant of the roof can be represented by the equation r(x)=-1/4|x|+60. If her house is 40 feet wide where could she place the tower? Explain
Answer:
on the ground
Step-by-step explanation:
dose anybody know how to do these kind of questions? with the step by step
