Answer:
see explanation
Step-by-step explanation:
Inequalities of the type | x | > a always have solutions of the form
x < - a or x > a, thus
2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both inequalities
2x < - 6 OR 2x > 4 ( divide both sides of both inequalities by 2 )
x < - 3 OR x > 2
In a fish tank 75% of the fish are goldfish. How many fish are in the tank if there are 24 goldfish pls answer!!!!!!
I believe it’s 8 because 24 divided 75% is 32.
To find the total number of fish in a tank where 75% are goldfish and there are 24 goldfish, solve the equation 0.75 × Total Number of Fish = 24, resulting in 32 fish in total.
The question asks about calculating the total number of fish in a tank knowing that 75% of them are goldfish, and there are 24 goldfish. To find the total number of fish in the tank, we set up a proportion based on the given information that 75% (or 0.75 when converted to a decimal) of the total number of fish equals 24 goldfish.
Mathematical equation: 0.75 × Total Number of Fish = 24.
To solve for the Total Number of Fish, we divide both sides of the equation by 0.75:
Total Number of Fish = 24 ÷ 0.75
Total Number of Fish = 32
Therefore, there are 32 fish in the tank in total.
How many families have at least 4 pets?
Answer:
6 families have at least 4 pets
Step-by-step explanation:
Hope it helped you!
16. Andrew borrowed $695 for a new TV. He will make
10 monthly payments of $75 to repay the loan.
How much will he pay in interest?
$75
$695
$750
$5.50
$55
The answer is $55
You multiply 10 by 75 which gives you $750 and subtract the borrowed money by $750 to get $55
Final answer:
Andrew will pay a total of $55 in interest on the $695 loan when he makes 10 monthly payments of $75 each.
Explanation:
The student is asking how much interest Andrew will pay on a $695 loan if he makes 10 monthly payments of $75 each. To find the total interest paid, we need to calculate the total amount Andrew will pay back and then subtract the original loan amount from it.
Total amount paid by Andrew = 10 monthly payments times $75/payment = $750
Original loan amount = $695
Interest paid = Total amount paid - Original loan amount = $750 - $695 = $55
Therefore, Andrew will pay $55 in interest to repay the loan for the new TV.
What is the explicit rule for the sequence?
12,6, 0, -6, ...
an = 18 - 6n
an = 18 – 12n
an= 18 + 6n
an = 6 - 6n
help please!
The answer is the first one. an=18-6n
because
18-6 (1) = 12
18-6 (2)=6
18-6 (3)=0
18-6 (4)= -6
and so on
hope this helps
The mean for the set of numbers 12 10 7 8 m is 25 what is the value of m
Answer:
m = 88
Step-by-step explanation:
The mean of a set of data is calculated using the formula
mean = [tex]\frac{sumofdata}{count}[/tex]
hence
[tex]\frac{12+10+7+8+m}{5}[/tex] = 25 ( multiply both sides by 5 )
37 + m = 125 ( subtract 37 from both sides )
m = 88
The results from the customer survey are being put together into different types of graph.
Help your colleagues by working out the degrees of a pie chart each result should be shown as.
Answer:
Strongly Disagree: 24°
Somewhat Disagree: 16°
Neither Agree nor Disagree: 100°
Somewhat Agree: 350/900 = 140°
Strongly Agree: 200/900 = 80°
Step-by-step explanation:
To find the degrees on a pie chart we need to find the proportion of each category over the total.
The total is: 60 + 40 + 250 + 350 + 200 = 900
The proportions of each category is going to be:
Strongly Disagree: 60/900 = 1/15.
Somewhat Disagree: 40/900 = 2/45.
Neither Agree nor Disagree: 250/900 = 5/18.
Somewhat Agree: 350/900 = 7/18.
Strongly Agree: 200/900 = 8/9.
We find the degrees by multiplying the proportions to 360 degrees as follows:
Strongly Disagree: 24°
Somewhat Disagree: 16°
Neither Agree nor Disagree: 100°
Somewhat Agree: 350/900 = 140°
Strongly Agree: 200/900 = 80°
The total should be 360°. Let's prove it:
24 + 16 + 100 + 140 + 80 = 360°.'
25 POINTS
I need help in calculating the total cost of packaging for both shapes, the image below:
Multiply your surface area by your cost/ square in. for your current cereal box to find the total cost of packaging. Then do the same with the new measurements for the new container.
Answer:
1. $21.60 2. 64.80
Step-by-step explanation:
I hope this helps :)
Find the output, y, when the input, x, is -1.
Y = ?
When the input is -1, the output is 3
The answer is 3
In the given graph, the value of y at x = - 1 is 7.
This means that when the input x is - 1, the corresponding output y is 7. The graph visually represents the relationship between x and y, where each point on the graph corresponds to a specific x - y pair. When x takes the value - 1, the graph intersects the y-axis at the point (- 1, 7), indicating that the output y is 7.
In summary, for x = - 1, the associated output value y is 7, as shown by the graph's plotted point.
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darr has written 60% or 12 pages of his history report their wants to figure out how many pages he needs to write their work is shown below
The answer is 20 pages.
Hope this helps!
For this case we must make a rule of three to determine the number of pages to finish your work.
12 --------------> 60%
x ----------------> 40%
Where "x" represents the number of pages needed to complete the job:
[tex]x = \frac {40 * 12} {60}\\x = 8[/tex]
So, there are 8 pages left to finish their work. The total number of pages of the work is 20.
Answer:
You need to finish 8 pages out of a total of 20
Consider the diagram below.
What is the measure of arc PD?
A. 35°
B. 90°
C. 110°
D. 180°
Answer:
(C) [tex]110^{\circ}[/tex].
Step-by-step explanation:
Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore
[tex]{\angle}FED=90^{\circ}[/tex].
Now, it is given from the figure that [tex]{\angle}FEP=35^{\circ}[/tex], therefore
[tex]{\angle}FED={\angle}FEP+{\angle}DEP[/tex]
[tex]90^{\circ}=35^{\circ}+{\angle}DEP[/tex]
[tex]{\angle}DEP=55^{\circ}[/tex]
Now, we know that The angle subtended at the center of a circle is double the size of the angle subtended at the edge from the same two points, therefore
[tex]{\angle}PCD=2{\angle}PED[/tex]
[tex]{\angle}PCD=2(55^{\circ})[/tex]
[tex]{\angle}PCD=110^{\circ}[/tex]
Thus, the measure of arc PD is [tex]110^{\circ}[/tex].
Hence, option (C) is correct.
The measure of arc PD is 110. So, The correct option is option C.
Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore
90° = 135° + ∠DEP
∠DEP = 50°
Now, here is given,
∠FEP = 35°
∠FED = ∠FEP + ∠DEP....(1)
Plug the value of ∠FEP = 35° in equation (1),
∠FED = 90
90 = 35 + ∠DEP
∠DEP = 55
∠PCD = 2∠PED
∠PCD = 2 (55)
∠PCD = 110
Therefore, the measure of arc angle PCD is 110.
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an arrangement of flowers originally priced at $46 is marked down to $35 what is the percent of decrease rounded to the nearest whole number
The answer is 24% I hope this helps : )
For this case we must make a rule of three:
$ 46 -----------------> 100%
$ 35 -----------------> x
Where "x" represents the percentage of the discounted cost.
[tex]x = \frac {35 * 100} {46}\\x = 76[/tex]%
We subtract to know how much was the discount percentage:
100% -76% = 24%
Thus, the discount percentage was 24%
ANswer:
24%
Can someone please help me ASAP?
Answer:
b. 3
Step-by-step explanation:
Box J has surface area 2(4.5 ft * 2 ft) + 2(3 ft * 2 ft) + 2(4.5 ft * 3 ft) = 57
Box F has surface area 6(3^2 ft) = 54 ft^2
The difference between the surface areas is: 57 - 54 = 3
b. diff = 3
[tex]
S_j=2\cdot(3\cdot2)+2\cdot(4.5\cdot2)+2\cdot(4.5\cdot3) \\ S_j=12+18+27=\underline{57} \\ \\
S_f=6\cdot(3\cdot3)=6\cdot9=\underline{54} \\ \\
S_j-S_f=57-54=\boxed{3}
[/tex]
The answer is 3.
Jenna bought 6 pounds of apples for $7.38. What is the unit price per pound of apples?
Answer:
$ 1.23
Step-by-step explanation:
We are given that Jenna bought 6 pounds of apples for $7.38 and we are to find the unit price per pound of apples.
To find that out, we will simply divide the total price of apples by the number of pounds she bought.
Unit price per pound of apples = [tex] \frac { 7 . 3 8 } { 6 } [/tex] = $1.23
What is the completely factored form of the expression 16X2 +18X+32
ANSWER
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
EXPLANATION
The given expression is
[tex]16 {x}^{2} + 18x + 32[/tex]
The greatest common factor is 2.
We factor 2 to obtain:
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
The expression in the parenthesis is prime.
This means that the quadratic expression in the parenthesis cannot be factored.
Hence the completely factored form is:
[tex]2(8 {x}^{2} + 9x + 16)[/tex]
Answer:
2(8 {x}^{2} + 9x + 16)
Step-by-step explanation:
2 is the gcf so you factor it outnow it is unfactorableComplete the following subtraction problems.
a. 9.5 – 3.2
b. 6.213 – 1.8219
c. 38.9 – 9.2
d. 3.76 – 2.9
e. $ 6.50 – 1.88
f. $ 6.52 – 2.37
g. $ 4.47 – 1.18
h. $ 156.25 – 83.73
Answer:
A . 6.3
B . 4.4002
C . 29.7
D . 0.86
E. 4.62
F. 4.15
G. 3.29
H. 72.5
A=6.3
B=4.3911
C=29.7
D=0.86
E=4.62
F=4.15
G=3.29
H=72.52
What is the answer to number 2.
Answer: The correct answer would be B.
Step-by-step explanation:
Because....
24 gets the variable because in total that's number of bottles that Marjorie bought. And each day she would open and drink 2 bottles of juice, which is the reason why you are subtracting 24d with 2.
* Hopefully this helps:) Mark me the brainliest:)!!
∞ 234483279c20∞
The answer is To number two is b
Bao yu is completing the square to solve the polynomial epuation
X^2-x-3=0.
What should her first step be ?
Answer:
The first step would be to add 3 on both sides of the equation.
Step-by-step explanation:
Given a polynomial or a quadratic equation, the first step in completing the square is to take the constant term to the other side of the equation. In the polynomial given the constant term is -3 which implies that we can add 3 on both sides of the equation in order to eliminate this constant term from the left hand side;
x^2 -x -3 +3 = 0 + 3
x^2 - x = 3
Answer:
The first step of Bao yu is to isolate the constant
Step-by-step explanation:
For using completing the square to solve the polynomial equation, the equation should be of the type [tex]a^2 \pm 2ab +b^2[/tex] that can also be written as:[tex](a\pm b)^2[/tex]
so, for the given equation: [tex]x^2 -x -3 =0[/tex]
The first step should be to isolate the constant:
[tex]x^2 -x = 3[/tex]
Then we have to make the middle term according to 2ab where a = 1x and b= (1/2) i.e, -2(1x)(1/2) = 1x
so,by adding (1/2)^2 on both sides of equation, we can complete the formula:
[tex]x^2 -x = 3[/tex]
[tex]x^2 -2(x)(\frac{1}{2}) + (\frac{1}{2})^2 = 3 (\frac{1}{2})^2[/tex]
Solving we get,
[tex](x- (\frac{1}{2}))^2 = 13/4[/tex]
So, the first step is to isolate the constant.
PLEASE HELP!!! GEOMETRY AND IDK WHAT IM DOING NEED TO PASS
In the diagram, and . What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?
Answer:
revolvelution
Step-by-step explanation:
Answer with explanation:
To prove two triangles are similar using SSS Similarity Criterion we need to prove that sides of triangles are Proportional.
Sides of two triangles can be obtained using Distance formula.
Coordinates of ΔABC are= A(0,0) , B(6,3) and C(-3,3)
Coordinates of ΔFGH are=F(-3,-2),G(-1,-3) and H(-4, -3)
[tex]AB=\sqrt{(6-0)^2+(3-0)^2}\\\\=\sqrt{36+9}\\\\=\sqrt{45}\\\\=5\sqrt{3}\\\\BC=\sqrt{(6+3)^2+(3-3)^2}\\\\BC=9\\\\AC=\sqrt{(-3-0)^2+(3-0)^2}\\\\AC=\sqrt{9+9}\\\\=\sqrt{18}\\\\=3\sqrt{2}\\\\FG=\sqrt{(-3+1)^2+(-2+3)^2}\\\\FG=\sqrt{4+1}\\\\FG=\sqrt{5}\\\\GH=\sqrt{(-1+4)^2+(-3+3)^2}\\\\GH=3\\\\HF=\sqrt{(-4+3)^2+(-3+2)^2}\\\\HF=\sqrt{1+1}\\\\HF=\sqrt{2}[/tex]
Ratio of Corresponding sides are
[tex]1.\rightarrow \frac{AB}{FG}=\frac{3\sqrt{5}}{\sqrt{5}}\\\\=3\\\\2.\rightarrow \frac{AC}{FH}=\frac{3\sqrt{2}}{\sqrt{2}}\\\\=3\\\\3.\rightarrow \frac{CB}{HG}=\frac{9}{3}\\\\=3\\\\\rightarrow \frac{AB}{FG}=\frac{AC}{FH}=\frac{CB}{HG}[/tex]
As corresponding sides are proportional, so trinagles are Similar.
⇒ ΔABC ≅ ΔFGH--------[SSS]
Hence proved.
How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?
Answer:one solution
Step-by-step explanation:
Given
a=42
b=34
angle A=117
using sine rule
[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{42}{sin117}=\frac{34}{sinB}[/tex]
[tex]sinB=\frac{34}{42}\times sin(117)[/tex]
sinB=0.7212
[tex]B=46.161 ^{\circ}[/tex]
and A+B+C=180
[tex]C=16.839^{\circ}[/tex]
Thus 2 triangles can be formed with given value
Answer:
one solution
Step-by-step explanation:
One cube is 3 yards by 4 yards by 2 yards. Another cube is 3 feet by 4 feet by 2 feet. What is the ratio of the volume of the first cube to the volume of the second?
(there are 3 feet in a yard)
Answer:
9ft*12ft*6ft=648
3*4*2=24
648:24
geometric sequence
-48, 96, -192, 384, …
What about it? From least to greatest?
-192, -48, 96, 384
need answer... PLZ PLZ
Answer:
Option A is correct.
Step-by-step explanation:
The credit limit is $6000
New balance after the transactions = $ 3604.50
Available credit on Nikki's card = credit limit - New balance after the transactions
Available credit on Nikki's card = $6000 - $ 3604.50
Available credit on Nikki's card = $ 2395.50
So, Option A is correct.
Can someone please help me!? I have to turn this in today !
1. “How many possible “green power” options did you find in your research?”
2. What were the options you found?
3. Which is any do you feel are viable energy sources for the future why?
4. Which if any do you feel are NOT! viable energy sources for the future why?
Answer:
Step-by-step explanation:
1. 15 green power options
2. sun
wind
water
earth
tide
waves
oceans
renewable energy
biofuel
uranium
coal
natural gas
oil
tires
biomass
3. most are all viable energy sources for the future because you need them all for example like the sun if we do not have sun then we all will die
4. Oil is not a viable energy source because think of how many gallons are dumped in the ocean and how many animals and fish it kills
an officer administrator earns 16$ an hour ,and she works 32 hours a week . what is her weekly wage
Answer: She makes $1632 a week.
Step-by-step explanation:
You multiply 16 times 32 and get your answer.
PLEASE HELP ME FAST!
Answer:
50% chance
Step-by-step explanation:
There is a 50% chance because there in a 3/6 chance he will pick a number above 2
jose went jogging with sam. jose jogged 5/8 miles before resting. sam jogged 1/4 mile more before stopping. after resting, they continued jogging. each of them jogged a total distance of 2 1/5 miles. how far did sam job before stopping? what was the distance jose jogged after resting?
Answer:
7/8 miles63/40 or 1 23/40Step-by-step explanation:
1/4 = 2/85/8 + 2/8 = 7/8
2. 2 1/5 = 11/5
11/5 = 88/40
5/8 = 25/40
88/40 - 25/40 = 63/40
For this case we have to, if Sam ran [tex]\frac {1} {4}[/tex]of a mile more than Jose, then, before stopping he ran:
[tex]\frac {5} {8} + \frac {1} {4} = \frac {20 + 8} {32} = \frac {28} {32} = \frac {14} {16} = \frac { 7} {8}[/tex]
I ran [tex]\frac {7} {8}[/tex]miles before stopping.
Now, Jose after resting ran ([tex]2 \frac {1} {5} = \frac {10 + 1} {5} = \frac {11} {5}[/tex]):
[tex]\frac {11} {5} - \frac {5} {8} = \frac {88-25} {40} = \frac {63} {40}[/tex]
Jose ran [tex]\frac {63} {40}[/tex]miles
ANswer:
[tex]\frac {7} {8}\\\frac {63} {40}[/tex]
What is the answer to this equation? - (-5a^3)(2ab^3)
The answer is 10a^4b^3
Using the Quadratic Formula, which of the following is the solution to the quadratic equation x2 + 2x - 3 = 0?
x = -1, -3
x = 1, -3
x = -1, 3
x = 1, 3
Answer:
x=1, -3
Step-by-step explanation:
Michael starts with $45 in his savings account and adds $5 to the account each week .write an expression for the number of dollars in Michael's savings account after a week's (w is the variable). Assume no money is added or removed from the account.pls need help asap
Expression: 45+(5 x w)
Hope this helps man.
The expression for the number of dollars in Michael's savings account after w week's will be;
⇒ y = $5w + $45
Where, y is total amount and w is number of weeks.
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;
Michael starts with $45 in his savings account and adds $5 to the account each week .
Now,
Since, Michael starts with $45 in his savings account and adds $5 to the account each week .
Hence, After w weeks the total amount (y) is,
⇒ y = $45 + $5w
Thus, The expression for the number of dollars in Michael's savings account after w week's will be;
⇒ y = $5w + $45
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Which of the following statements are true?
1. The difference between -1.4 and -8.3 is positive.
2. -1.4 + 8 3 has the same value as the difference between -1.4 and -8.3.
3. The between -8.3 and -1.4 has the same value as the difference between -1.4 and -8.3.
A. 1 only
B. 1 and 2
C. All the statements are true.
D. None of the systems are true.
Answer:B
Step-by-step explanation: