4x + ax - 14 > - 24
(4 + a)x - 14 > - 24
Add both sides 14
(4 + a)x - 14 + 14 > - 24 + 14
(4 + a)x > - 10
put the given value instead of x ( x = - 2 )
(4 + a)( - 2 ) > - 10
Divide both sides by - 2
Hint :When we multiply or divide the sides of an inequality by a negative number, the direction of the inequality changes which means < changes to > , and > changes to <
(4 + a)( - 2) ÷ ( - 2 ) < - 10 ÷ ( - 2 )
(4 + a) < 5
4 + a < 5
Subtract both sides 4
4 - 4 + a < 5 - 4
a < 1
Thus the highest integer value of a is:
a = 0
Cost of dinner at Chewy's: $38.72
Tip: 25%
Tax: 4.1%
What is the new cost for the meal?
Answer:
48.40
Step-by-step explanation:
Very simple. This is similar to calculating HST on something.
25%=0.25
38.72*0.25=9.68
38.72+9.68=
if the lcm of a number is 630 and the HCF is 10 what will be the first number it the second number is 10
Answer:
1000
Step-by-step explanation:
At the art store, Aisha bought a few blocks of clay to make a teapot and matching mugs for her aunt. She used 2 1/2 pounds of clay to make the mugs and 1 1/2 times as much clay for the teapot. If each block of clay weighed 2 pounds, how many blocks did Aisha use in all?
Answer:
3 1/8
Step-by-step explanation:
Pls give brainliest
help please
c. s + 19 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4x = 4
i. 24x = 3
j. 1/10x = 50
k. 1/11y = 33
l. t + 14 = 16
m. t - 1 = 16
n. 1/2q = 8
o. 15t = 24
Answer:
s=7
m=60
z=0
x=1
s=100
h.x=1/16
i.x=8
j.x=1/500
k.y=1/363
l.t=2
m.t=17
n.q=1/16
o.t=8/5
Step-by-step explanation:
give me branlist please
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.
Answer:
is it y=12x+3
Step-by-step explanation:
x=DVD. DVD =12
The expression that represents the final price of the DVD is 0.9064y
How to determine the final cost?The given parameters are:
Discount = 12%Sales tax = 3%Original price = yThe final cost is calculated using:
Final = Original price * (1 - discount) * (1 + sales tax)
So, we have:
Final = y * (1 - 12%) * (1 + 3%)
Evaluate the expression
Final = 0.9064y
Hence, the expression that represents the final price of the DVD is 0.9064y
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3√−50
Enter your answer, in simplest radical form
Undefined
Step-by-step explanation:[tex] \sf 3 \sqrt{ - 50} [/tex]
= The square root of negative numbers does not exist in the set of Real Numbers.
= Undefined
Conclusion:The square root of negative numbers does not exist in the set of Real Numbers then Undefined.
Answer:
15√2
Step-by-step explanation:
Lara is creating potpourri bowls using 4 bags of shredded bark and 10 bags of flower petals.
If she wants to make all the potpourri bowls identical, containing the same number of bags of
shredded bark and the same number of bags of flower petals, what is the greatest number of
potpourri bowls Lara can create?
Answer:
2
Step-by-step explanation:
16: 16, 8,4,2,1
10: 10,5,2,1
The GCF is 2 because 16 bags of shredded bark can be split with 8 bags of shredded bark, and 10 bags of flower petals could be split to 2 bowls with 5 bags each.
-1+3[(10-12)/(-16) ]
Ahmed bought 5 equally priced markers for $3.25.
How much will 12 of these markers cost?
$1.35
$6.68
$7.80
$8.46
Answer:
$7.80
Step-by-step explanation:
Find the unit price by dividing 3.25 by 5.
3.25 ÷ 5 = 0.65
Now that you have the unit price, multiply it by 12 to find the total price of the 12 markers.
0.65 × 12 = 7.80
Thus, 12 of the same markers that Ahmed bought will cost $7.80.
The cost of 12 markers is given by the equation A = $ 7.80
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the number of markers be n = 5
The cost of 5 markers = $ 3.25
So , the cost of 1 marker = cost of 5 markers / 5
On simplifying the equation , we get
The cost of 1 marker = 3.25 / 5
The cost of 1 marker = $ 0.65
Now , the cost of 12 markers = 12 x cost of 1 marker
Substituting the values in the equation , we get
The cost of 12 markers A = 12 x $ 0.65
The cost of 12 markers A = $ 7.80
Hence , the equation is A = $ 7.80 , where A is the total cost of markers
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a service company charges a 5% service fee
Answeis is that
is that the whole qeustion
Step-by-step explanation:
where is the image
can someone help me with this quickly please
Plug in -3 for f(x) into the first equation.
-3 = x^2 - 5x + 3
x^2 - 5x + 6 = 0
Factor!
(x - 3)(x - 2) = 0
Set each binomial equal to 0 to get the x-value of the point.
x = 3
x = 2
Plug each x-value back into the first equation (the answer should be -3, though it's always good to check) to get the y-value.
(3)^2 - 5(3) + 3
9 - 15 + 3
-6 + 3
-3
(2)^2 - 5(2) + 3
4 - 10 + 3
-6 + 3
-3
Ordered pairs of the solutions for this system of equations: (2, -3) and (3, -3)
Hope this helps!! :)
Giải phương trình ma trận AX=B
A=[tex]\left[\begin{array}{ccc}1&2&3\\-2&-5&-3\\1&0&8\end{array}\right][/tex]
B=[tex]\left[\begin{array}{ccc}-4&2&7\\3&5&-1\\3&-4&2\end{array}\right][/tex]
cyyducufyfrujrufvujvjvbjbk
Am i right on this one?
Answer:
yes
Step-by-step explanation:
brainliest please
Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right
find what % of 62 is 3
Answer:
I believe your answer to this is 4.84%. I hope this helps! :)
Hey ! Can anyone help me with this question please . Thank you !
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Corresponding angles in parallel lines are equal. (m// n)
Therefore,
[tex]4x-13 =x+8\\4x-x=13+8\\3x=21\\\frac{3x}{3} =\frac{21}{3} \\x=7[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Alice needs to mix 4 cups of baking soda with 3 cups of water to make a cleaning solution. How many cups of baking soda are needed for each cup of water?
Answer:
1.33
Step-by-step explanation:
Divide 3 by 3, making it one. Now divide 4 by 3, making it 1.33.
Joel has just moved to a new town and wants to share plates of baked goods with his
neighbors. He has 20 cookies and 5 brownies to share and wants to split them equally
among the plates with no food left over. What is the greatest number of plates he can make to share
Answer:
Marta can arrange a maximum of 3 plates.
Solution:
Given, Marta has just moved to a new town and wants to share plates of baked goods with her neighbors.
She has 18 cookies and 15 brownies to share, and wants to split them equally among the plates with no food left over.
We have to find what is the greatest number of plates she can make to share?
Now, let the number of brownies per each plate be n.
Then, number of plates used =
Here, n is number of brownies per plate and is number of cookies per plate.
So, both n and should be whole numbers. Then, for to be whole number 6n must be an multiple of 5.
And to be particular, n should be a multiple of 5 as 6 is not multiple of 5.
So, possible n values are, 5, 10, 15. We need not take above 15 as number of brownies available are 15
In order to arrange in more plates we have to take less count in single plate. Then, n = 5.
Now, number of plates
Hence, Marta can arrange a maximum of 3 plates.
60% of what number is 120
Mark as brainliest :)
Does anyone know what the numbers on the left mean
Step-by-step explanation:
yes I know if you follow me I will give you your answer
Which expression is equivalent to (24m+36)+(12m+18)?
A
6(4m+9)+3(4m+9)
B
4(6m+9)+3(6m+9)
C
12 (2m+6)+3(2m+6)
D
12(2m+3)+6(2m+3)
The equivalent expression will be;
⇒ 12 (2m + 3) + 6 (2m + 3)
Option D is true.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (24m + 36) + (12m + 18)
Now,
Since, The expression is,
⇒ (24m + 36) + (12m + 18)
it can be written as;
⇒ (24m + 36) + (12m + 18) = 12 (2m + 3) + 6 (2m + 3)
Thus, The equivalent expression after solving,
⇒ 12 (2m + 3) + 6 (2m + 3)
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HELP PLEASE I REALLY NEED IT!
Answer:
Step-by-step explanation:
ZTU = 75, since RTS and ZTU are vertical angles, and RTS = 75.
TZU = 43, since TZU and QZX are vertical angles, and QZX = 43.
ZUT = 180 - ZTU - TZU = 180 - 75 - 43 = 62, since triangle ZUT is shown in the diagram, and the sum of its interior angles = 180.
YUW = 180 - 79 - 62 = 39, since TUW is a straight angle, which measures 180 degrees, and angle TUW is the sum of angle ZUY and angle ZUT and angle YUW, by the diagram.
YVU = 180 - ZUY - YUW = 180 - 68 - 39 = 73, since triangle YUV is shown in the diagram, and the sum of its interior angles = 180.
YVW = 180 - YVU = 180 - 73 = 107, since YVW and YVU are supplementary.
$21
a
Hannah works for a regular hourly rate of
Last week she worked a total of 50 hours.
Overtime is paid for any hours worked above 40 hours.
The overtime rate is 1.5 times the regular rate.
Federal tax withholding is 12%
State tax withholding is 5%
FICA withholding is 7.5%
Also, Hannah pays $100 per week for medical insurance.
Calculate Hannah's Net Pay.
You must show all work.
Answer:
522.87
Step-by-step explanation:
15*40=600
22.5*10=225
825*24.5%=202.13
825-100-202.13=522.87
Which statement de ribes the system of equations?
[x+2y = 2
[x-2y=-2
Answer:
x+2y=2 x-2y=-2. It has infinitely many solutions. It has no solution. It has one solution
c3+c2 factories fully
Answer:
c6 i guess
Step-by-step explanation:
DONT ANSWER THIS QUESTION OR ELSE
Answer:
or else what?..... ......
Anybody have an answer key to this?
A survey of ninth grade students at a high school was conducted to determine the enrollment demand for three foreign language class offerings.
The table provides information on the enrollment selections.
Fill in the missing values of the frequency table below, and complete the statement.
Spanish French German Total
Boys
10
8
Girls
15
12
30
Total
25
14
11
50
It can be concluded that
% of the boys surveyed have enrolled in Spanish
Answer:
French = 0
Step-by-step explanation:
According to the graph, if 18 total boys, 10 in Spanish and 8 in German. 0 boys took french.
Answer:
2 french, 3 german, 20 total, 40%
Step-by-step explanation:
lmk if correct
Is the problem situation a function? Explain your answer.
Answer:
where is the problem at
Step-by-step explanation:
A square-shaped park has an area of 400 ft2. What are the dimensions of the park? Write and solve an equation.
Answer:I think 200ft2
Step-by-step explanation:
Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres. Write down, in imillimetres, the lower bound of his measurement.
The lower bound of the measurement is 65.5 millimetres.
A centimetre equals 10 millimetres, a measure is expressed by the measured magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:
[tex]y = x + \epsilon[/tex] (1)
Where:
[tex]x[/tex] - Measured magnitude, in millimeters.[tex]y[/tex] - Possible magnitude, in millimeters.[tex]\epsilon[/tex] - Uncertainty, in millimeters.If we know that [tex]y = 67.5\,mm[/tex] and [tex]\epsilon = 1\,mm[/tex], then the lower bound of the measurement is:
[tex]y = 67.5\,mm - 2\cdot (1\,mm)[/tex]
[tex]y = 65.5\,mm[/tex]
The lower bound of the measurement is 65.5 millimeters.
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