Answer: -4
Step-by-step explanation:
For the function 4t + 20, the value of t is -4.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given value of function h(t) = 4t + 20.
To find the value of t when h(t) = 4.
Substitute, h(t) 4.
4t + 20 = 4
4t = 4 - 20
4t = - 16
t = -4.
The required value of t is -4.
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What would be the steps you would
take to solve the following problem?
5-2x=13
Answer:
-4
Step-by-step explanation:
1. Subtract the 5 from both sides
2. Now you have -2x=8. From here you are going to divide -2 from both sides to isolate the x value
3. Once you've done that you will have x=-4
Water flows through a pipe at a rate of 9 gallons every 8 minutes. Express this rate of flow in fluid ounces per hour.
Answer:
[tex]Rate = 8640 fl\ oz/hour[/tex]
Step-by-step explanation:
Given
Rate: 9 gallon in every 8 minutes
Required
Express in fluid ounces per hour
Express rate as follows;
[tex]Rate = \frac{9\ gallon}{8\ minutes}[/tex]
1 gallon = 128 fluid ounces;
So:
[tex]Rate = \frac{9 * 128 fl\ oz}{8\ minutes}[/tex]
1 minutes = 1/60 hour;
So:
[tex]Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}[/tex]
[tex]Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}[/tex]
[tex]Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour[/tex]
[tex]Rate = 1152* \frac{60}{8}\ fl\ oz/hour[/tex]
[tex]Rate = \frac{1152*60}{8}\ fl\ oz/hour[/tex]
[tex]Rate = \frac{69120}{8}\ fl\ oz/hour[/tex]
[tex]Rate = 8640 fl\ oz/hour[/tex]
Mr Chong intends to purchase a few chickens, rabbits and ducks for his farm. The total numbers of animal is 50. He has RM1500 to be spent. A chicken costs RM20, A rabbit RM50 and a duck RM30. The number of chickens is equal to the number of ducks. How many of each animals should Mr Chong purchase? Write a system of linear equations to solve this problem.
Answer:
20 chickens, 10 rabbits and 20 ducks
Step-by-step explanation:
Let chickens be c, rabbits be r, ducks be d
Chicken cost = RM20Rabbit cost = RM50Duck cost = RM30As per given we get below equations:
c + r + d = 50c = d20c + 50r + 30d = 1500Substitute d:
c + r + c= 50 ⇒ 2c + r = 50 20c + 50r + 30c = 1500 ⇒ 50c + 50r = 1500 ⇒ c + r = 30Subtract the second equation from the first one:
c = 20Then:
r = 10d = 20So animals bought:
20 chickens, 10 rabbits and 20 ducksDetermine the missing step for solving the quadratic equation by completing the square. 0 = –6x2 + 24x – 5
Step-by-step explanation:
Check the above photos....
-4 - (-9). please help
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4 - ( - 9)}[/tex]
When there is a ( - ) in front of an expression in Parentheses, change the sign of each term
⇒[tex] \sf{ - 4 + 9}[/tex]
Calculate
⇒[tex] \sf{5}[/tex]
Hope I helped!
Best regards!!
Answer:
5
Step-by-step explanation:
- 4 - ( -9 )
Two negatives multiplied = positive
Therefore,
-4 + 9 = 5
Convert 21/4 into a mixed number
True or false: equilateral triangles can be classified as acute right or obtuse
Answer:
False
Step-by-step explanation:
Equilateral triangles can only be acute.
Because a triangle can only have 180 degrees in angles, in an equilateral triangle all angles must be less than 90 degrees since they all measure the same (60 degrees)
I hope this helps!
-TheBusinessMan
Answer: False.
Step-by-step explanation:
All the angles of an equilateral triangle are 60° all less than 90° so only acute is correct.
Write and simplify an absolute value
expression to find the distance between -3
and 8.
-
=[ans]
Which equation is for a line passing through (-2,3) and (3,4)?
O x-5y-19
0 5x-y-17
O x-5y=-17
O x-y=1
Answer:
I need help on this to what is it
find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)
Answer:
y = 3x+5
Step-by-step explanation:
[tex](2,11)=(x_1,y_1)\\y =3x-2\\m = 3\\\\Substitute \:values\:into \:point \:slope\:form\\y-y_1=m(x-x_1)\\y-11=3(x-2)\\y-11=3x-6\\y=3x-6+11\\y = 3x +5[/tex]
MATH ALG II! Need help quick! Will mark brainliest!
Answer: D
Step-by-step explanation:
because yes i solved it
add 16k to the quotient of 4m divided by 11
Answer:
[tex]\Large \boxed{\frac{4m}{11}+16k}[/tex]
Step-by-step explanation:
The quotient is the result from division.
4m divided by 11 is:
[tex]\displaystyle \frac{4m}{11}[/tex]
16k is added to the result.
[tex]\displaystyle \frac{4m}{11}+16k[/tex]
PLZZZ help asap will give the brain and 100 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1
Answer:
[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
2x² + 5 = -x
The quadratic equation is in the form :
ax² + bx + c = 0
Rewriting the equation by adding x to both sides :
2x² + 1x + 5 = 0
The value of a is 2.
The value of b is 1.
The value of c is 5.
[tex]\rule[225]{225}{2}[/tex]
Taila earns d dollars per week. How much does Taila earn in 10 weeks?
Answer:
[tex]10d[/tex] dollars
Step-by-step explanation:
[tex]d[/tex] is a variable, which is just a placeholder for an unknown value. Therefore, we can treat [tex]d[/tex] as if it's a number.
If you earn a certain amount of dollars per week, and you work for 10 weeks, then to find how much money you earn, you'd multiply the amount of weeks (10) by the dollars per week right?
Same logic applies for variables.
Since we have [tex]d[/tex] acting as a placeholder for the amount earned per week, then the total amount of money earned in 10 weeks is [tex]10\cdot d[/tex], which can just be represented as [tex]10d[/tex].
Hope this helped!
What exactly am I doing wrong with the first one I’m doing the order of operation and I can get the second one no issues I can’t seem to figure out how to do the first one tho
Answer:
36
Step-by-step explanation:
(4+2)²
4+2=6
6²=36
Answer:
36
Step-by-step explanation:
So we have the expression:
[tex](4+2)^2[/tex]
Order of operations says: 1) Parentheses, 2) Exponents, 3) Multiplication/Division and 4) Addition/Subtraction.
So, add within the parentheses first:
[tex](4+2)^2\\=(6)^2[/tex]
Now square:
[tex]=36[/tex]
So our answer is 36.
Also, note that you apparently used the distribute property. The distribute property does not work with addition and exponents:
[tex](4+2)^2\neq4^2+2^2[/tex]
You cannot do this. This isn't correct. Instead, you must first add and then square.
23. Eduardo wants to get a grade of 95 in his math
class. His grade will be the average of three test
scores. He got a 91 on the first test and a 89 on
the second test. Write an equation to represent
the situation. What score will he need on the
third test?
Answer:
equation: (91 + 89 + x):3 = 95
score needed: x = 105
Step-by-step explanation:
x - the third test score
average of three it's a sum of the three divided by 3:
(91 + 89 + x):3 = 95
×3 ×3
180 + x = 285
-180 - 180
x = 105
Which of the following is closest to
0 on the number line?
A) - | -5.1 |
B) 4.7
C) - | - 0.9 | D) - | 6.7 |
Answer:
C
Let's simplify the answers. Use absolute value.
| -5.1 | = 5.1 - > |5.1| = 5.1
4.7 - > |4.7| = 4.7
| -0.9 | = 0.9 - > |0.9| = 0.9
- |6.7| = -6.7 - > |-6.7| = 6.7
Now, order each from least to greatest.
0.9, 4.7, 5.1, 6.7
Which one is the smallest? 0.9
So, C is correct.
I'm sorry if I misunderstood.
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Always try your best and have a good day ;) !
*HURRY AND ANSWER CORRECTLY PLS*
A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. What is the probability of a passenger choosing chips and a soda? a.)25% b.)33% c.) 50% d.) 17%
The probability of a passenger choosing chips and soda will be 25%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
A particular airline offers three free snack options to its passengers: cookies, chips, and crackers.
Along with the snack, passengers are offered two free drink options: soda or water.
Then the probability of a passenger choosing chips and soda will be
P = 0.5 x 0.5
P = 0.25
Then the probability in the percentage will be
P = 0.25 x 100
P = 25%
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2) You work in the tech field. Your boss has asked that you and your team design a new style phone with a 7" screen display. What are the dimensions of the phone if the aspect ratio is 16:9?
Answer:
dimensions of the phone are 7 inches x 12.44 inches
Step-by-step explanation:
The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.
That is;
Aspect ratio = height/width
Now, we are given;
Aspect ratio = 16:9 or 16/9
Width = 7" = 177.8 mm
Thus;
16/9 = height/177.8
Multiply both sides by 177.8 to give;
Height = (16 × 177.8)/9
Height = 316.089 mm
Converting 316.089 mm to inches gives us 12.44 inches.
Thus, dimensions of the phone are 7 inches x 12.44 inches
Jamal recorded three values for measuring water in a graduated cylinder. The
values were 25.85, 24.1, and 24.56. What was the TOTAL amount of water
measured? *
Your answer
Answer:
74.51 mlStep-by-step explanation:
Hello!!!
from the problem statement we can infer that Jamal had a container of water where he fetches from to fill the graduated cylinder.
More so, after some couple of trails he recorded as follows
25.85, 24.1, and 24.56.
Hence the total amount of water he measured out of the container after three trials is
25.85+24.1+24.56= 74.51 ml
(assuming the cylinder is calibrated in ml)
The total volume of water he measures is 74.51 ml
What is the variable in the expression: 3x + 4
Answer:
xStep-by-step explanation:
The variable(what we are to solve for) is x
Answer:
The variable in the expression is x
Step-by-step explanation:
A variable is the symbol used, which is usually a letter.
so in this case x is being used to represent something.
Find the value of y for which the value of 1.7y+37 is 14 less than the value of 9.3y–25 HELP QUICK
Answer:
y=10
Step-by-step explanation:
1.7y+37 is 14 less than the value of 9.3y–25
1.7y + 37 = 9.3y - 25 - 141.7y + 37 = 9.3y - 399.3y - 1.7y = 37 + 397.6y = 76y = 76/7.6y = 10Answer is 10
Answer:
y=10
Step-by-step explanation:
10 x 1.7 = 17
17 + 34 = 51
10 x 9.3 = 93
93 - 25 = 51
Same answer, so y = 10
The sum of four consecutive integers is 78. What
are the 3rd and 4th integers?
Answer:
20, 21
Step-by-step explanation:
The number halfway between the middle two integers is the average of the four:
78/4 = 19.5
Then the four integers are 18, 19, 20, 21.
The 3rd and 4th integers are 20 and 21.
write the divisor to complete the equation number 3
please answer I really need the answers now
Answer:6.3 ÷ 100 = 0.063
Verizon offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls, and Plan 2 charges $11 per month plus $0.04 per call. For how many monthly calls is Plan 1 more cost effective than Plan 2?
Answer:
Number of monthly calls = 475
Step-by-step explanation:
Given:
Plan 1 = $30 per month unlimited calls
Plan 2 = $11 + $0.04(per call)
Find:
Number of monthly calls, plan 1 better than plan 2
Computation:
Plan 1 (Cost) < Plan 2 (Cost)
30 < 11 + 0.04(x)
19 < 0.04(x)
475 < (x)
Number of monthly calls = 475
Find the value of x ......
Please answer this question.....
Answer:
x=5/2
Step-by-step explanation:
(2/7)^2x *(2/7)=(2/7)^6
(2/7)^(2x+1)=(2/7)^6
Equate indices
2x+1=6
2x=6-1
2x=5
x=5/2
Answer:
When multiplying the same number, raised to different powers, you carry the number forward so (2/7)^6 is part of the answer.
Now, we have to calculate the exponent.
2x + 1 = 6
So, the answer is x = 2.5 which means
[2/7]^(2*2.5) x [2/7]^1 = [2/7]^6 which equals
[2/7]^5 x [2/7]^1 = [2/7]^6
Step-by-step explanation:
-9/11 30 as a decimal please help
Answer: -0.81 .30
Step-by-step explanation:
[tex]\sqrt[3]{-100}[/tex]? Please help.
Answer:
-∛100Decimal : -4.64158...Step-by-step explanation:
[tex]\sqrt[3]{-100}\\\\\mathrm{Apply\:radical\:rule}:\\\quad \sqrt[n]{-a}=-\sqrt[n]{a},\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\\\\\sqrt[3]{-100}=-\sqrt[3]{100}[/tex]
Find a possible solution to the equation cos(x+2)= sin(3x)
Answer:
x = 22
Step-by-step explanation:
Let's say that a & b are complementary angles...
Then cos a = sin b
We can also write sin(3x) as ,
[tex] \sin(3x) = \cos(90 - 3x) [/tex]
Substituting the value of sin(3x) in the question ,
[tex] \cos(x + 2) = \cos(90 - 3x) [/tex]
Cancelling cos from both the sides gives us -
[tex]x + 2 = 90 - 3x\\ [/tex]
Solving this eqn , x = 22
Write a polynomial that represents the area of the shaded region
Answer:
S = 1/2 . x^2 + 11/2 . x + 15
Step-by-step explanation:
- Let S = the area of the shaded region
- From the figure we see that S = 1/2 the area of the rectangle
- The area of the rectangle is (x+5)(x+6) = x^2 + 11x + 30
--> S = 1/2 (x^2 + 11x + 30)
--> S = 1/2 . x^2 + 11/2 . x + 15