Step-by-step explanation:
The question is not properly formatted, here is a better format
the expression
[tex]7x+17x-6= (4x+6)[/tex]
[tex]x=42[/tex]
To verify weather the above is correct we need to solve it our-self
[tex]7x+17x-6= (4x+6)[/tex]
Opening up the bracket in the left hand side we have
[tex]7x+17x-6= 4x+6[/tex]
Collecting like terms we have
[tex]7x+17x-4x= 6+6[/tex]
[tex]24x-4x= 12\\20x= 12[/tex]
Divide both side by 20 we have
[tex]x= \frac{12}{20} = \frac{6}{5} \\[/tex]
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
5/24
1/6
1/4
5/12
Answer:
Step-by-step explanation:
jan
m
m
jun
july
5/12
Probability month starts with the letter J or M is 5/12
Probability based problem:Computation:
Number of total month = 12
Number of month starts with the letter J or M = 5
Probability = Number of desired output ÷ Number of total output
Probability month starts with the letter J or M is = 5 / 12
So, Option 'D' is the correct answer to the following question.
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Given DOG, find DG.
Round your answer to the nearest hundredth.
Answer:
DG = 31.75
Step-by-step explanation:
The question is incomplete; however, I'll answer your question using attached image.
From the attachment,
<G = 72° and DO = 8.2
Required
DG?
To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.
DG represents the hypothenus of the triangle;
DO represents the opposite of the triangle;
The two sides are bound by the sine function.
i.e.
Sin72° = DO/DG
Sin72° = 8.2/DG
Multiply both sides by DG
DG * Sin72 = 8.2/DG * DG
DG * Sin72 = 8.2
Sin72 = 0.2538
So, DG * Sin72 = 8.2 becomes
DG * 0.2538 = 8.2
Divide both sides by 0.2583
DG * 0.2583/0.2583 = 8.2/0.2583
DG = 8.2/0.2583
DG = 31.746031746
DG = 31.75 --- Approximated
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)
Answer:
The answer is c
Step-by-step explanation:
(7,9) (3,25)
The solution sets of the given system of equations are (3,25) and (7,9).
Given equations are :
[tex]y=-x^{2} +6x+16[/tex]........(1)
[tex]y=-4x+37[/tex]...........(2)
What is an equation?An equation is a statement that equates to two expressions.
So, for the solutions of the given system of equations
[tex]-x^{2} +6x+16=-4x+37[/tex]
[tex]x^{2} -10x+21=0[/tex]
[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]
[tex](x-3)(x-7)=0[/tex]
So, [tex]x=3[/tex]
[tex]x=7[/tex]
Corresponding y value for x=3
[tex]y=-4*3+37\\y=25[/tex]
Corresponding y value for x=7
[tex]y=-4*7+37[/tex]
[tex]y=9[/tex]
Hence, the solution sets of the given system of equations are (3,25) and (7,9).
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Solve the following inequality for p. Write your answer in simplest form.
6p+5≤-2p-5
Answer:
p≤-5/4
Step-by-step explanation:
Move variable to the left hand side and change its sign, move the constant tp the right hand side and change its sign
6p+2p+5≤-5
Collect like terms
8p≤-5-5
8p≤-10
Divide both sides of the inequality by 8
p≤-5/4
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 4 in, x =6 in, y = 6 in, z = 2 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.
a cone with a height of x and a radius of w, a cylinder with a diameter of y and a height of z
please help me
The cone holds 44 cubic inches more ice cream than a cup.
Important information:
Height of a cone is x =6 in and radius w = 4 in.Diameter of a cylinder is y = 6 in and height z = 2 in.We need to find the volumes of each ice cream container.
Volume:Volume of the cone is:
[tex]V_1=\dfrac{1}{3}\pi r^2h[/tex]
[tex]V_1=\dfrac{1}{3}(3.14) (4)^2(6)[/tex]
[tex]V_1=100.48[/tex]
The diameter of the cylinder is 6 in so the radius is 3 in.
Volume of the cylinder is:
[tex]V_2=\pi r^2h[/tex]
[tex]V_2=(3.14)(3)^2(2)[/tex]
[tex]V_2=56.52[/tex]
Clearly [tex]V_1>V_2[/tex].
[tex]V_1-V_2=100.48-56.52[/tex]
[tex]V_1-V_2=43.96[/tex]
[tex]V_1-V_2\approx 44.0[/tex]
Therefore, the cone holds 44 cubic inches more ice cream than a cup.
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Write the following inequality in slope-intercept form. –12x – 2y ≥ –42
Answer:
y ≤ −6x−21
Step-by-step explanation:
-12x – 2y ≥ –42
– 2y ≥ 12x –42
-2(– 2y ≥ 12x –42)
y ≤ −6x−21
really need brainliest!
Answer:
the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21
Step-by-step explanation:
You have $2000 to invest in an account and need to have $2500 in five years. What annual interest rate would you need to have in order to have this if the amount is compounded monthly?
a) 4%
b) 2%
c) 5%
d) 3%
Answer:
c) 5%
Step-by-step explanation:
A = $ 2,566.72
A = P + I where
P (principal) = $ 2,000.00
I (interest) = $ 566.72
a line passes through (2,-6) and had a slope of 5/2. Write an equation in slope-intercept form for this line.
Answer:
work is shown and pictured
Mean temperature: 78°
Standard deviation: 5°
Washington, DC
July 4: 1952 - 2011
Average Daily Temperature
Check all of the temperatures that are within one
standard deviation of the mean
o 72°
74°
799
84
Number of Years
C) ONO
DONE
Average Temperature
Answer:
74 and 79
Step-by-step explanation:
one standard deviation= 5°
range of one standard deviation: (78-5) to (78+5)
73° to 83°
Horace takes a taxi uptown, and the fare is $12.78. He wants to give the driver a 10% tip.
If Horace gives the driver a $20 bill, how much change should he ask for?
Answer:
$5.94
Step-by-step explanation:
12.78 + 10% (1.28) = 14.06
20.00 - 14.06 = 5.94
17. Determine whether the two figures are similar. If so, give the similarity ratio of the smaller
figure to the larger figure. The figures are not drawn to scale.
3
24
4
32
14
112
OOOO
yes; 1:4
yes; 1:6
yes; 1:8
no
Answer: yes, 1:8
Step-by-step explanation:
Each side multiplied by 8 equals the corresponding sides on the larger figure, which means the larger figure is 8 times bigger than the smaller one.
PLEASE GIVE BRAINLIEST
Both the figure is similar by the scale factor of 1:8. Option C is correct.
It is to be determine that both the figure are similar or not. If similar than by what factor.
The scale factor is defined as the ratio of modified change in dimension to original dimensions.
Both the figure will similar if the ratio of the sides are equal. i.e.
⇒ 3/24=4/32=14/112
1/8 = 1/8 = 1/8
Ratio of the sides are equal by factor of 1/8.
Thus, both the figure is similar by the scale factor of 1:8.
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Find the largest number.
16.3, 15.7, 16.9, 15.8
The largest number is
.
if you have seen my questions before i have 4 questions i dont know soo might as well ask someone
Answer:
15.8 I think.........
Answer:
Mark me brain list pls pls pls pls pls pls
Step-by-step explanation:
16.9
PLZ HELP WILL MARK BRAINLIEST!
You put $200 in a savings account. The account earns 9% simple interest per year.
a. What is the interest earned after 5 years?
The interest earned is $___
after 5 years.
b. What is the balance after 5 years?
The balance is $____
after 5 years.
Answer:
Interest earned is $90
balance is $290
Step-by-step explanation:
find the LCD OF 11/15 AND 23/54
Answer:270
Step-by-step explanation: You have the first step right.
54 = 2 * 3^3
15 = 3 * 5
The common denominator will have the highest powers of all the prime factors.
2 * 3^3 * 5
270
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answer:(x+9)(x+3)
(I dont think it matters when it’s switched)
Hope I helped
Step-by-step explanation:
The middle number is 12 and the last number is 27.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that...
Add together to get 12
Multiply together to get 27
Can you think of the two numbers?
Try 3 and 9:
3+9 = 12
3*9 = 27
Fill in the blanks in
(x+_)(x+_)
with 3 and 9 to get...
(X+3)(x+9)
(x+3)(x+9)
Which equation could be used to calculate the sum of the geometric series?
One-third + two-ninths + StartFraction 4 Over 27 EndFraction + StartFraction 8 Over 81 EndFraction + StartFraction 16 Over 243 EndFraction
Answer:
A
Step-by-step explanation:
edge 2020
Answer:
its A
Step-by-step explanation:
Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]
Answer:
-5 < a < 3.4
Step-by-step explanation:
3 - 2a < 13
3 - 13 < 2a
2a > -10
a > -5
5a < 17
a < 3.4
Solution:
-5 < a < 3.4
Step-by-step explanation:
Step 1: Find the solution to the first equation
[tex]3 - 2a < 13[/tex]
[tex]3 - 3 - 2a < 13 - 3[/tex]
[tex]-2a < 10[/tex]
[tex]-2a / -2 < 10 / -2[/tex]
[tex]a > -5[/tex]
Step 2: Find the solution to the second equation
[tex]5a < 17[/tex]
[tex]5a / 5 < 17 / 5[/tex]
[tex]a < 3.4[/tex]
Answer: [tex]-5 < a < 3.4[/tex]
The family size bottle of shampoo holds 10 fluid ounces (fl. oz.) of sunscreen. The regular bottle holds 70% percent less. How many fluid ounces does the regular bottle of shampoo hold?
Answer: 3 fluid ounces
Step-by-step explanation:
The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.
To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces
= 7/10 × 10
= 7 fluid ounces.
Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:
= 10 ounces - 7 ounces
= 3 ounces.
The regular bottle of shampoo holds 3 fluid ounces.
Positive ÷ positive = ?
Answer:
positive
Step-by-step explanation:
conner has a bag of coloured tiles. there are 1 green, 3 black, 5 blue and 6 red. he reaches into the bag and chooses 1 tile without looking. what is the probibility that the tile is not red?
Answer:
Um, i'm not the best but I'm trying my best, but I think it is 66%
Step-by-step explanation:
Hope this helps
The radius of a circle is 2 centimeters. What is the circles circumference?
Answer: 4π cm or 12.56 cm
Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.
Since the radius is 2 centimeters, we can
plug in 2 centimeters for r in the formula.
So we have (2)(π)(2 cm) which is equal to 4π cm.
So the circumference of this circle is 4π cm.
Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.
So we have (4)(3.14) which is equal to 12.56.
So the circumference of the circle is
approximately equal to 12.56 cm.
This is my second time asking pls i need help seriously
6 radians is the same as____
Round to the nearest hundredth of a degree.
Answer:
343.77
Step-by-step explanation:
1 radian is about 57.2958 degrees
so 57 times 6 is about 343.77
Need help, check attached image
Answer:
...
Step-by-step explanation:
(x-1) will cancel each other so the answer is the last one
Pretty easy question in physics but no one answers them in that subject so I put it here
Answer:
Wind and biofuel
Step-by-step explanation:
The other are all nonrenewable.
Hope this helps. Also will you friend me so I know if you need any more help I can help you.
Plz Help my brother with this equation!
Answer:
I think the answer is 2 bc 5 times 4 is 20 and 10 can go into 20 2 times.
Step-by-step explanation:
what’s the answer to this?
Answer:9
Step-by-step explanation:because when we add 7+7+6+6=26 then we will going to 35-26= 9 im not sure so don’t hate me if it was wrong
Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?
Answer:
3
Step-by-step explanation:
From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:
60*5%= 3
According to this, Hunter answered correctly 3 problems on the final exam.
The earth has a mass of approximately 6\cdot 10^{24}6⋅10 24 6, dot, 10, start superscript, 24, end superscript kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right parenthesis. The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10 9 1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km 3 )left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10 12 km 3 kg 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction . To the nearest hundredth of a percent, what percent of the earth's mass is from the oceans? (Ignore the \%%percent symbol when entering your answer. For example, if the answer is 0.11\%0.11%0, point, 11, percent, enter 0.110.110, point, 11.)
Answer:
0.02
Step-by-step explanation:
The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10
9
1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km
3
)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10
12
km
3
kg
1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .
To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x
a
⋅x
b
=x
a+b
x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.
\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10
9
km
3
⋅1.03⋅10
12
km
3
kg
=1.3802⋅10
21
kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text
Hint #2
Next we want to know what portion of the earth's mass this represents. We have:
\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}
total mass of the earth
mass of the oceans
=
6⋅10
24
kg
1.3802⋅10
21
kg
=
6⋅10
3
1.3802
=
6000
1.3802
=0.0002300
3
To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300
3
%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.
Hint #3
To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.
The Total surface area of a cube is 1176 in2. What is the length of each side of the cube?
