Answer:
The required answers are 2, 6 and 5/4respectively
Step-by-step explanation:
5x-2=8
or, 5x=10
or, x=2
4x-3=2x+9
or, 2x=12
or, x=6
6x+3=2x+8
or, 4x=5
or, x=5/4
You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the given dimensions. 8 ft $\times$ 5 ft
Answer:
24 minutes
Step-by-step explanation:
The Dimensions of the wall are given as:
8ft × 5ft = 40ft² or 40 square feet
We are told that: You can paint 75 square feet of a surface every 45 minutes.
Hence:
75 ft² = 45 minutes
40 ft² = x minutes
Cross Multiply
75 ft² × x = 40 ft² × 45 minutes
x = 40 ft² × 45 minutes/75 ft²
x = 24 minutes
Therefore, It will takes you 24 minutes to paint a wall with dimensions 8ft × 5 ft
Write an equation to find x by substituting.
3. What does it mean to substitute here?
5x - 2 = 3x +4
Answer:
3
Step-by-step explanation:
5x-2=3x+4
5x-3x=4+2
2x=6
x=3
Work out the value of (6.8 x 10^2) x (1.3 x 10^-3)
Answer:
worked it out.
Step-by-step explanation:
0.884
8×84×10-1
Determine the circumference of a circle with a radius of 4 in. Use 3 as a estimate for \PiΠ
Answer:
24
Step-by-step explanation:
im not sure why 3 is estimat efor pi, usually 3.14
2pi*r
2*4*3 = 24
Find the angle represented by x. (rounded to the nearest tenth of a degree)
4 in.
5 in.
6 in.
I
Emelina loaded 96 trucks in 8 hours. At that rate, how many trucks
would she load in 15 minutes?
Answer:
3
Step-by-step explanation:
60 × 8 = 480 (mins)
96 (trucks) = 480 (mins)
÷32 (I got this number by dividing 480 by the desired amount of mins which was 15)
3 = 15
So 3 trucks would have been loaded in 15 mins
Simplify the following:
A) 4^9 x 4^3
B) 6^5x 6^2
C) 8^6 divide by 8
d) 7^8 divide by 7^6
Answer:
A. 4^12
B.6^7
C.8^7
D.7^2
Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. A 4-column table with 4 rows. The first column has no label with entries county 1, county 2, county 3, total. The second column is labeled Democrat with entries 4,050; 3,925; 2,100; 10,075. The third column is labeled Republican with entries 2,470; 6,010; 5,950; 14,430. The fourth column is labeled total with entries 6,520; 9,935; 8,050; 24,505. Find the following relative frequencies to the nearest tenth of a percent. Republican residents of County 1: % Democratic residents of County 1: % Total Republican residents: % Total Democratic residents: %
Using the concept of relative frequency, it is found that:
Republican residents of County 1: 37.9%.Democratic residents of County 1: 62.1%.Total Republican residents: 58.9%.Total Democratic residents: 41.1%.----------------------------------
A relative frequency is the number of desired outcomes divided by the number of total outcomes.
To find it as a percentage, we multiply by 100%.
----------------------------------
The table used is the image at the end.
----------------------------------
County 1 has 6,520 residents, out of which 2,470 are Republican.
2470*100%/6520 = 37.9%
Thus:
Republican residents of County 1: 37.9%.
----------------------------------
County 1 has 6,520 residents, out of which 4,050 are Democratic.
4050*100%/6520 = 62.1%
Thus:
Democratic residents of County 1: 62.1%.
----------------------------------
Total of 24,505 Residents, 10,075 Democrats and 14,430 Republicans.
10075*100%/24505 = 41.1%
14430*100%/24505 = 58.9%
Thus:
Total Republican residents: 58.9%.
Total Democratic residents: 41.1%.
A similar problem is given at https://brainly.com/question/20630951
Answer:
Find the following relative frequencies to the nearest tenth of a percent.
Republican residents of County 1: 10.1%
Democratic residents of County 1: 16.5%
Total Republican residents: 58.9%
Total Democratic residents: 41.1%
Correct on Edge! :)
The numbers 20 through 30 are written on cards and placed in a box. Explain whether the events of choosing a number that is a multiple of 3 or choosing a number that is a multiple of 4 are mutually exclusive.
A. Mutually Exclusive
B. Not Mutually Exclusive
Answer:
A. Mutually Exclusive is the correct answer
The events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.
What is Mutually Exclusive ?Mutually Exclusive means when two sets have no common elements.
What is Not Mutually Exclusive ?Not Mutually Exclusive means when two sets share common elements.
We have,
Cards numbered [tex]20[/tex] to [tex]30[/tex].
Let's
Set [tex]A =[/tex] Multiple of [tex]3[/tex]
i.e. Set [tex]A = \ \{ 21, 24,27,30\}[/tex]
Set [tex]B =[/tex] Multiple of [tex]4[/tex]
i.e. Set [tex]B = \{20,24,28\}[/tex]
So, Set [tex]A[/tex] and Set [tex]B[/tex] have common element [tex]24[/tex], so we call them Not Mutually Exclusive, from the mentioned definition we find out this.
Hence, we can say that the events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.
To know more about Not Mutually Exclusive click here
https://brainly.com/question/12947901
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If x and y vary directly, and x 60 when
y= 5, what is the value of y when x =36?
Answer:
-19
Step-by-step explanation:
36 is 24 less than 60 so that means they subtracted to get 36 so subtract 24 from five and boom -19
Translate the word phrase into a math expression.
11 fewer than the quotient of 2 and a number
11−(n÷2)
11−n÷2
11−(2÷n)
2÷n−11
Use the diagram below to solve for x and y. Please help! Fast if possible.
Answer:
x = 27
y = 29
Step-by-step explanation:
Which of the following is equal to [(x^2 y^3)^-2/x^6 y^3 z)^2]^-3
Answer:
it's A,B and D , Edge 2021
Step-by-step explanation:
Answer:
The person over me is right, the correct answers are A,B and D.
Step-by-step explanation: I got them right. Edge 2021.
5x 2 - 8+ 4SOMEONE HELP PLS AND THANK U:)!!
evaluate the following:
csc(0)=
sec(0)=
cot(0)=
Answer:
Step-by-step explanation:
we need that theta angle .. soooo.... use SOH CAH TOA to remind yourself how the trig functions fit on the triangle.....
since we have all 3 side any one of the above trig functions would work. as a side note.. Tan is limited to the 1st quadrant on a calculator.. so maybe Cos is a good choice. although it would work in this case....
sooo ....
Cos(Ф) = Adj / Hyp
Ф = arcCos( 24 /25)
Ф ≈16.26°
I don't have csc on my calculator but I know that 1/sin = csc sooo
csc(16.26)=1/sin(16.26) ≈ 3.57
sec(16.26)= 1/cos(26.26) ≈ 1.041
cot(16.26) = cos(16.26) / sin(16.26) ≈3.476
Answer:
csc(0)= 25/7
sec(0)= 25/24
cot(0)= 24/7
Step-by-step explanation:
If the area of a circle is 25pi (n), what is the radius of the circle
Answer:
5
Step-by-step explanation:
the are is pi times radius times radius
so do the square root of 25, which is 5.
this means that the radius is 5
Answer:
five (5).
Step-by-step explanation:
Area of circle =pi r^2
given that area is 25pi
now equate both .....we get
25pi=pi r^2
25=r^2
r=5
Use the figure at the right to answer questions 9-12.
Answer:
9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°
Step-by-step explanation:
9. & 10.)
∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.
5x - 18 = 4x + 7 (Given)
x - 18 = 7 (Subtract 4x on both sides)
x = 25 (Add 18 on both sides)
Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.
Now we can solve for the angles.
11.)
5(25) - 18
125 - 18 = 107
Therefore, m∠MNQ = 107°.
12.)
∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°
∠MNR + 107 = 180
∠MNR = 73
Therefore, m∠MNR = 73°.
100 POINTS plus a Brainiest
The table represents an exponential function.
What is the ratio of outputs for any two inputs that are two values apart?
Divide the larger output by the smaller output.
Enter your answer, as a decimal to the nearest hundredth, in the box.
Answer:
0. (45) 1. (51.71) 2. (48.24) 3. (55.44) 4. (59.43)
Step-by-step explanation:
Ill be so sorry if I get it wrong I did the math and this is what I got so if I get it wrong tell me ;w;
Answer: 1.15
Step-by-step explanation:
Please help, find the measure of angle 1 (geometry)
The Mallards pay their two quarterbacks $7.2 million and $1.4 million. If the team salary is $33 million a year and their budget for quarterbacks is 25% of total salaries. Are they over budget? a) Yes b) No
Answer:
a) Yes
Step-by-step explanation:
The computation is shown below:
Given that
Their two quarterbacks is $7.2 million and $1.4 million
Its total is
= $7.2 million + $1.4 million
= $8.6 million
Now if the team salary is $33 million
And their budget is 25% of total salaries
i.e.
= $33 million × 25%
= $8.25 million
So as we can see that it it overbudget as the target is $8.25 million but it is $8.6 million
SO, the correct option is a.
Answer:
Yes
Step-by-step explanation:
solve: x2 + 8x - 9 = 0
please i need it urgently
Answer:
x = 1 or x = -9
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 8 x - 9 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 9 to both sides:
x^2 + 8 x = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 + 8 x + 16 = 25
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 4)^2 = 25
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 4 = 5 or x + 4 = -5
Hint: | Look at the first equation: Solve for x.
Subtract 4 from both sides:
x = 1 or x + 4 = -5
Hint: | Look at the second equation: Solve for x.
Subtract 4 from both sides:
Answer: x = 1 or x = -9
An object has a mass of 235 g and a volume of 655 cm? What is its density?
Answer:
the answer is 235/655= 0.358778
A granola recipe calls for 2 1/3 (mixed number 2 and 1/3) cups of almonds. A bag of almonds contains 2 cups. To make 2 1/2 (mixed number 2 and 1/2) batches of granola, Ali buys 5 bags of almonds. How many cups of almonds will he have left over?
Answer:
4 1/6 cups of almonds left
Step-by-step explanation:
Granola recipe = 2 1/3 cups of almonds
2 1/2 batches of granola = 2 1/3 cups of almonds × 2 1/2
= 2 1/3 × 2 1/2
= 7/3 × 5/2
= (7*5)/(3*2)
= 35/6
= 5 5/6 cups of almonds
A bag of almonds = 2 cups
5 bags of almonds = 10 cups
Cups of almonds left = 10 cups - 35/6 cups
= 60-35/6
= 25/6
= 4 1/6 cups
What expression below is equivalent to 3a + 12?
3(a + 12)
В.
3(a + 4)
C.
15 + a
D.
15a
Answer:
B. 3(a + 4)
Step-by-step explanation:
Divide by a factor of 3:
3a/3 = a
12/3 = 4
Therefore, 3(a + 4) is equivalent to 3a + 12.
what is what what is the unit rate of what is the unit rate if armon by 6 shirts for $74.70
Answer:
7.8
Step-by-step explanation:
In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.
Use the figure and find LN, if LM=6x and MN=2x+12
Answer:
LN
= LM + MN
= 6x + 2x + 12
= 8x + 12
Does this problem have a solution yes or no?
Answer:
Yes.
Step-by-step explanation:
Solving One Step Equations. SHOW YOUR WORK
x - 7 = 13 solve to find x
Answer:I'm guessing 2
Step-by-step explanation:
Answer:
X=20
Step-by-step explanation:
x-7=13
x=13+7
X=20