Answer:
-3<x<5
Step-by-step explanation:
Given the inequality 2x-3<7 and 5-x<8
Solve 2x-3<7
Add 3 to both sides
2x-3+3 < 7+3
2x < 10
2x/2 < 10/2
x < 5
Solve 5-x<8
subtract 5 from both sides:
5-x-5<8-5
-x < 3
multiply both sides by -1
-(-x) > -3
x > -3
-3<x
Combine both solutions x < 5 and -3<x
-3<x<5
The solution to the compound inequality is -3<x<5
1. What is the slope of the line that contains the
points (13, -2) and (3,-2)?
A.-2/5
B.0
C.-5/2
D. undefined
Answer:
the answer is B
Step-by-step explanation:
Answer:
b. the slope is 0
Step-by-step explanation:
Lucy and Cody were playing a board game. They rolled a die 142 times. An even number was rolled 56 times. A one was rolled 21 times. A three was rolled 34 times. How many times was a five rolled? Select the correct equation to solve. A. 142 - 56 - 21 + 34 = t B. 142 - 56 - 21 - 34 = t C. 142 + (56 - 21) + 34 = t Solution:
Answer:
[tex]Five = 31[/tex]
Step-by-step explanation:
Given
[tex]Total = 142[/tex]
[tex]Even = 56[/tex]
[tex]One = 21[/tex]
[tex]Three = 34[/tex]
Required:
Number of times 5 were rolled
Even represents 2, 4 and 6.
So, we have:
[tex]Total = Even + One + Three + Five[/tex]
[tex]142 = 56 + 21 + 34 + Five[/tex]
[tex]142 = 111 + Five[/tex]
Collect Like Terms
[tex]Five = 142 - 111[/tex]
[tex]Five = 31[/tex]
If 5=a^x, then 5/a=?
Answer:
Step-by-step explanation:
To find the expression for 5/a, you first need to solve the equation 5=a^x for a. To solve for a, raise both sides of the equation to the 1/x power.
5=a^x
5^(1/x)=(a^x)^(1/x) (now multipy exponents)
5^(1/x)=a (x*1/x = 1 - the exponent on a)
Now that the equation is solved for a, substitute the left side of the equation into 5/a. So,
5/a = 5/5^(1/x) (since the bases are the same, 5, subtract the exponents; note that the exponent in the numerator = 1)
5/a = 5^(1 - 1/x) (subtract by getting lcd, x)
5/a = 5^((x-1)/x)
Just to show you that this works: Let a = 25 and x = 1/2.
We know that 5 = a^x = 25^(1/2) = sqrt(25)=5.
Now, 5/a should equal 5/25 = 1/5, so let's plug the numbers into the new expression.
5/a = 5^((.5-1)/.5) (I'm using .5 instead of 1/2 so it's not so many parentheses.)
on the number line between two consecutive whole numbers would square root of 7 be located at
Answer:
see explanation:
Step-by-step explanation:
We use the property that (all numbers being positive)
0 < a < b < c --> 0< a^2 < b^2 < c^2
so:
1 < 2 < sq(7) < 3 < 4 < 5
1 < 4 < 7 < 9 < 16 < 25
Fill in the blank with Yes or No. Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15. 1. Is Rectangle A a scaled copy of Rectangle B? 2. Is Rectangle B a scaled copy of Rectangle A? 3. Is Rectangle A a scaled copy of Rectangle C?
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
Given
Rectangle A:
[tex]Length = 12; Width = 8[/tex]
Rectangle B:
[tex]Length = 15; Width = 10[/tex]
Rectangle C:
[tex]Length = 30; Width = 15[/tex]
Solving (1): Is Rectangle A a scaled copy of Rectangle B?
To do this, we simply determine the ratio of the length and width of both rectangles;
i.e.
[tex]Ratio = \frac{A}{B}[/tex]
For Length:
[tex]Ratio = \frac{12}{15}[/tex]
[tex]Ratio = 0.8[/tex]
For Width:
[tex]Ratio = \frac{8}{10}[/tex]
[tex]Ratio = 0.8[/tex]
Since both ratios are the same, then this statement is true
Solving (2): Is Rectangle B a scaled copy of Rectangle A?
This is the inverse of (1) calculated above.
Since (1) is true, then (2) is also true
3. Is Rectangle A a scaled copy of Rectangle C?
To do this, we simply determine the ratio of the length and width of both rectangles;
i.e.
[tex]Ratio = \frac{A}{C}[/tex]
For Length:
[tex]Ratio = \frac{12}{30}[/tex]
[tex]Ratio = 0.4[/tex]
For Width:
[tex]Ratio = \frac{8}{15}[/tex]
[tex]Ratio = 0.53[/tex]
Since both ratios are the not same, then this statement is false
PLEASE HELP ASAP 50 POINTS!!!!!
Which equation represents an exponential function with an initial value of 500?
A: f(x) = 100(5)x
B: f(x) = 100(x)5
C: f(x) = 500(2)x
D: f(x) = 500(x)2
Answer:
the answer is a because all the other ones are multiplying a different number
Answer:
the answer is a because you have to put the x after the five.
Step-by-step explanation:
I did this last year in my math class
Celia put hot water and cold water into a bathtub. For the first two minutes she added only hot water to the tub. After two minutes, she added both hot and cold water to the bathtub.
. The hot water flows at the rate of 2.2 gallons per minute
. The cold water flows at the rate of 3.4 gallons per minute.
. Let t represent the number of minutes Celia put cold water into the bathtub
Which inequality can be used to determine the number of minutes after which the amount of cold water Celia put into the bathtub is greater than the amount of hot water she put into the bathtub?
3.4t < 2.2(t+2)
3.4t - 2) > 2.2
3.4t > 2.2(t+2)
3.4 (t-2) < 2.2t
Answer:
I need help with his question too but I don’t know the answer
Step-by-step explanation:
The telephone company offers two billing plans for local calls. Plan 1 charges $33 per month for unlimited calls and Plan 2 charges $14 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
a. Let x represent the number of monthly calls.
Answer:
the answer is a certain number
The image of the point B(8,-3) under the translation T6,0?
Answer:
(14, - 3 )
Step-by-step explanation:
Under the translation < 6, 0 >
Add 6 to the x- coordinate and 0 to the y- coordinate, that is
B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )
A specialty shop procures several hats for $5 apiece and offers them to customers for $11
each. What is the mark-up percentage?
Write your answer using a percent sign (%).
The family spent $64.22 on picnic food. Next month, the price is predicted to decrease 8%. How much should the family expect to pay for food next month?
Answer:
Assuming to round up to the cent 59.09
Step-by-step explanation:
64.22 x .92 (because of the 8% decrease) = 59.0824 and sense you cant spend part of a cent it has to round up 59.09
What is the distance between points (6, 2) and (4, 1) to the nearest tenth
Answer:
Distance is 2.2.
Step-by-step explanation:
Use the Pythagorean theorem.
[tex]Distance=\sqrt{(6-4)^{2} +(2-1)^{2} } =\sqrt{4+1} =\sqrt{5}=2.23[/tex]
please help fast and expalin.
Answer: 10,000
Step-by-step explanation:Hope this helps!
Question 2
Solve for y. Write your answer in slope-intercept form y= mx + b.
6x+2y = -10
Question 3
Answer:
y=-3x-5
Step-by-step explanation:
6x+2y=-10
2y = -6x-10 (you need to isolate the y and so i took 6x and subtracted it from both sides)
y = -6/2x-10/2 ( dont feel like explaining)
divide them (-6/2 and -10/2) to get
y=-3x-5
Hope i helped
Hey Yall! What isi 200 divided by 5? (○’ω’○)
Answer:
40
Step-by-step explanation:
200 ÷ 5 = 40.
HELP QUICK PLS WILL GIVE BRAINLIEST
The total cost after tax to repair Deborah’s computer is represented by 0.08 (50h) + 50h, where h represents the number of hours it takes to repair Deborah’s computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.
Answer:
0.08(50h)
Step-by-step explanation:
0.08(50h)+50h=
8/100(50h)+50h=
0.08(50h)+50h
It's 0.08 of 50h, so
0.08(50h)
Mortar is made by mixing cement, sand and quicklime in the ration 1:2:3
a) work out the volume to make 2.1m cubed of mortar mix
Answer with step-by-step explanation:
If the ratio for the ingredients is 1:2:3, then the total would be 6. If so, we have to divide 2.1 by 6, which is 0.35. Now, you need to multiply 0.35 to the according ingredient amounts.
Cement: 1 x 0.35 = 0.35
Sand: 2 x 0.35 = 0.70
Quicklime: 3 x 0.35 = 1.05
If you add it up, you will get 2.1, which is the volume.
Hope this helped! (brainliest please)
what is 345 divied by 8 estimate
Answer:
43.125
Step-by-step explanation:
Answer: 43.1
Step-by-step explanation: I just used a calculator
Brian sells muffins for $0.75 and bagels for $1.25. This weekend he wants to make $300. If Brian sells 96 bagels, how many muffins does he need to sell to reach his goal?
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earning were $692. What was the total amount of her sales for the week?
Answer:
The answer is $6216.66
Step-by-step explanation:
(8*40)+6%*×=$692; 320 + 0.6x = 692; .6×=692-320; 0.6x=373; ×=373÷.6;
x=6216.66
Total earnings= $692
Total hours worked = 40 hours
Earnings per hour = $8
Total hourly earnings = Total hours worked × Earnings per hour
= 40 hours × $8
= $320
Commission earnings = Total earnings - Total hourly earnings
= $692 - $320
= $372
Total amount of her sales for the week = x
6% of x = $372
0.06 × x = 372
0.06x = 372
x = 372 / 0.06
x = $6,200
Therefore, her total amount of her sales for the week is $6,200
Read more:
https://brainly.com/question/11481095
Roy bought running shoes for $44.98. If the sales tax is 7%, how much did he pay in total?
Answer:
$48.13
Step-by-step explanation:
before $44.98
sale tax 7.00% or 3.15
after-tax price $48.13
Judy jarred 45 liters of jam after 9 days. How much jam did Judy jar if she spent 10 days making jam? Assume the relationship is directly proportional.
HELP BEFORE THE TIMES RUNS OUT!!!
The answer is B.14
Step-by-step explanation:
14
Your welcome
Answer: B=14
Step-by-step explanation:
9 2/3+ 4 1/5= 208/15 rounded to the nearest whole number is 14
2(x - 3) = -8
can someone explain to me how to slove this without calculator please and thank you<3
Answer:
-1
Step-by-step explanation:
Distribute
2(x-3)=-8
2x-6=-8
2x=-2
DIVIDE 2 on both sides
x=-1
Which action could a student take to show a transverse wave?
Answer:
i think it woulod be b personally cause it sounds trust worthy
Step-by-step explanation:
Answer:
Maybe A
Step-by-step explanation:
A teacher is selling tickets to a play. Adults tickets cost $8 each and children’s tickets cost $5 each. They collect $275 after selling x adult tickets and y children’s tickets. What does (30,7) mean in this situation?
Answer: 30 adult tickets and 7 children's tickets
help please i’m on a timer
Answer:
x=19
Step-by-step explanation:
90-71=19
!!ANSWER QUICKLY PLZZZ!!
Write an equation that represents the line
-Use exact numbers-
Answer: y=-1/2x-3.5
Step-by-step explanation: Slope rise 1(up) run 2(left) so it's -1/2. Y-intercept between-3 and -4 so it's -3.5.
what is a regular polygon? name one
Answer:
Hexagon
Step-by-step explanation:
it a regular polygons
Step-by-step explanation:
A polygon whose all sides are equal is called a regular polygon . For example -
Square - Regular polygon of four sides .
Regular Pentagon - Regular polygon of five sides.
Regular Hexagon - Regular polygon of six sides .
Regular Heptagon - Regular polygon of seven sides.
Regular Octagon - Regular polygon of eight sides.
Regular Nonagon - Regular polygon of nine sides.
Regular Decagon - Regular polygon of ten sides.
Formula to find the area of regular polygon is :
[tex]\large{\boxed{\red{\bf Area_{polygon}=\dfrac{1}{2}\times(perimeter)\times(apothem)}}}[/tex]
208=k(k+3) find the value of k
Answer:
k=41.6
Step-by-step explanation:
What he said lol
