Answer:
see explanation
Step-by-step explanation:
Given the range of f(x), find the domain by equating f(x) to each of the values in the range, that is
5x + 4 = 5 ( subtract 4 from both sides )
5x = 1 ( divide both sides by 5 )
x = [tex]\frac{1}{5}[/tex]
5x + 4 = 6 ( subtract 4 from both sides )
5x = 2 ( divide both sides by 5 )
x = [tex]\frac{2}{5}[/tex]
5x + 4 = 7 ( subtract 4 from both sides )
5x = 3 ( divide both sides by 5 )
x = [tex]\frac{3}{5}[/tex]
5x + 4 = 8 ( subtract 4 from both sides )
5x = 4 ( divide both sides by 5 )
x = [tex]\frac{4}{5}[/tex]
Thus
domain = { [tex]\frac{1}{5}[/tex], [tex]\frac{2}{5}[/tex], [tex]\frac{3}{5}[/tex], [tex]\frac{4}{5}[/tex] }
Solve the formula for the specified variable.
S = ( 2 W + 2 H ) L + 2 W H
L = ???
Answer: [tex]\bold{L=\dfrac{S-2WH}{2W+2H}}[/tex]
Step-by-step explanation:
[tex]S=(2W+2H)L+2WH\\\\\\\underline{\text{Subtract 2WH from both sides:}}\\S-2WH=(2W+2H)L\\\\\\\underline{\text{Divide both sides by (2W + 2H):}}\\\\\dfrac{S-2WH}{2W+2H}=L[/tex]
6 1/2 cups equals how many ounces
Answer:
52 ounces
Step-by-step explanation:
multiply the volume value by 8
To convert 6 1/2 cups to ounces, multiply the number of cups by 8 (since 1 cup equals 8 ounces). Six cups equal 48 ounces, and half a cup equals 4 ounces, which totals to 52 ounces. Therefore, 6 1/2 cups is equal to 52 ounces.
Explanation:To convert 6 1/2 cups to ounces, we first need to understand the relationship between cups and ounces. A cup is a unit of volume commonly used in cooking to measure liquids, and it is equivalent to 8 ounces. To find out how many ounces are in 6 1/2 cups, we multiply the number of cups by the number of ounces in one cup.
Here is the step-by-step conversion:
We know that 1 cup = 8 ounces.Therefore, 6 cups would be 6 x 8 ounces, which is 48 ounces.For the half cup remaining, we just take half of the ounces in one cup: 1/2 x 8 ounces = 4 ounces.Now, we add the amount of ounces from the 6 full cups to the ounces from the half cup to get the total: 48 ounces + 4 ounces = 52 ounces.So, 6 1/2 cups equals 52 ounces.
Writing in Math Describe a situation in which it would be better
to round to the nearest ten rather than to the nearest hundred
or thousand.
Answer:
the number 151
Step-by-step explanation:
this because if you round 151 to the nearest hundread it would give you 200 but if you round it to the nearest ten ot would give you 150 which is closer to the actual number than 200.
A coffee shop uses 4 liters of milk every day.
a. If there are 15 liters of milk in the refrigerator, after how many days will more milk need to be purchased? Explain how you know.
b. If only half as much milk is used each day, after how many days will more milk need to be purchased?
Answer:
explained
Step-by-step explanation:
a. daily requirement of milk = 4 liters
15 liters of milk is present
this 15 liters of milk will be used up in [tex]\frac{15}{4}[/tex] days
= 3(3/4) days , so after 3 days only more milk will be required to purchase.
b. daily milk consumption is reduced to half = 2 liters
Now, 15 liters of milk will be used up in [tex]\frac{15}{2}[/tex]= 7.5 or 7(1/2) days.
Hence now milk will be purchased after 7 days.
4π=w−6π???????????????????
What is the constant of variation, k, of the direct variation, y=kx, through (5,8)
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{5}~,~\stackrel{y}{8})\qquad \implies 8=k(5)\implies \cfrac{8}{5}=k[/tex]
What is 2/15,1/5,3/5 in least to greatest
Answer:
Step-by-step explanation:
Least: 2/15 , 1/5 , 3/5 -greatest
Answer:
2/15,1/5=3/15,3/5=9/15
Step-by-step explanation:
Look at the answer it is from least to greatest
EMERGENCY Add using the number line.
−9+6
Drag and drop the word Sum to the correct value on the number line.
What is 5.5 divided by 3.5
5.5 divided by 3.5 is 1.57142857 when solved, but when rounded, you will get 1.6, or 1.57.
Hope this helped!
Nate
Alfredo is employed on an assembly line. He receives 35 cents for each part that he works on. If he works on more than 150 parts, his employer will pay him 40 cents for each part over 150. Yesterday, Alfredo worked on 210 parts. How much did he earn?
SHOW ALL WORK
Answer:
$76.50
Step-by-step explanation:
Let's split this up.
First, we will do the 150 parts. But, we need to subtract so that we know how many parts he worked on over 150.
So...
210-150=60
Now that we know how many parts he worked on over 150, let's multiply.
.35*150=52.50
Now, let's multiply what he did over 150.
.40*60=24
Finally, we have to add his pay up.
52.50+24.00=76.50
Making your answer...
$76.50
Hope this helps!!!
Brady
Find the values of x and y.
x + 7i = y − yi
Answer: X = y - yi - 7i
Y = (x + 7i)/(1 - i)
Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:
x + 7i = y − yi
X = y - yi - 7i
in the case of the (Y), first we select the common multiple.
y - yi = y(1 - i)
if we replace it in the original expression, we get the following equation:
x + 7i = y(1 - i)
after that you can pass the value (1 - i) to the other side dividing,
Y = (x + 7i)/(1 - i)
Answer:
x=y-yi-7i
y=ix+x-7+7i
2
Step-by-step explanation:
What number is 19 more than another if the sum of two numbers is 161 find the two numbers
Answer:
90
can i have brainliest
Evaluate |-6| + 34| + |-5|– 0x6.
0 or 18 or 23 or 25
PLEASE HELP ME FAST!! I NEED TO KNOW WHAT TO WRITE FOR THE RATIO!!
Answer:
100 kilometers per centimeter.
Step-by-step explanation: We are given that
Length of Mississippi River = 3,730 km.
The scale is required to find if the length of the river is given 37.3 cm.
Thus, the scale of the map is given by, = 100
Hence, the scale of the map is 100 kilometers per centimeter.
Jose needs 6.2 lb of organic blueberries to make smoothies. Organic blueberries are on sale for $2.85 per pound. Jose estimates that he will need $12 to buy the 6.2 lb of blueberries. What is Jose’s error?
Jose did not make an error. His estimate of $12 is correct.
Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
Jose incorrectly rounded 6.2 up to 7.
Jose incorrectly multiplied 2 and 7. The estimate should be $14.
Answer:
Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
Step-by-step explanation:
When we round 6.2 lb to the nearest pound we round down, because the digit after point is less than 5 (2<5), so
[tex]6.2\ lb\approx 6\ lb[/tex]
When we round $2.85 to the nearest dollar we round up, because the digit after point is greater than 5 (8>5), so
[tex]\$2.85\approx \$3[/tex]
Now, 6.2 lb of blueberries will approximately cost
[tex]\$3\cdot 6=\$18[/tex]
Hence, Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
Answer:
answer is B Jose incorrectly rounded $2.85 down to $2. The estimate should be $18. have a great day.
Step-by-step explanation:
3(3m - 2) -3 =36 step by step
Answer:
Step-by-step explanation: Alright so first you ditribute the 3 with 3m and - 2 so you will get 9m - 6 - 3 = 36 from there add all like terms like - 6 and - 3 so you will get 9m - 9 = 36 now we want variables in one side and normal numbers in the others so we add 9 to both sides so we get 9m = 45 now divide both by 9 so M = 5
A recipe requires 3 cups of sugar. You can only measure using 2/5 cups. how many 2/5 cups are needed for the recipe
To find how many 2/5 cups are needed for 3 cups of sugar, divide 3 by 2/5, resulting in 7.5. Therefore, 7.5 of the 2/5 cups are required.
To calculate how many 2/5 cups are needed for a recipe that requires 3 cups of sugar, you can follow these steps:
Determine the total amount required: The recipe requires 3 cups of sugar.
Determine the measurement of the cup you have: You can measure using only 2/5 cups.
Calculate the number of 2/5 cups needed: Divide the total amount needed by the measurement of the cup you have.
This gives you the equation: 3 cups \/ (2/5 cups) = 15/2 = 7.5. Therefore, you will need 7.5 of the 2/5 cups to measure out 3 cups of sugar.
Put this in order 45.07 45.007 45.7 45.072 45.702
Two quadrilaterals are similar. The length of the row longest sides of the first quadrilateral are 40in and 60in. The lengths of the three shortest sides of the second quadrilateral are 5in, 12in, and 16in. Find the unknown lengths of the sides of these two figures .
Answer:
The sides of the first quadrilateral are 60 in, 40 in, 30 in and 12,5 in
The sides of the second quadrilateral are 24 in, 16 in, 12 in and 5 in
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
Arrange the sides of each quadrilateral from largest to smallest
First quadrilateral Second quadrilateral
Longest side=60 in Longest side=c in
Second side=40 in Second side=16 in
Third side= a in Third side= 12 in
Fourth side=b in Fourth side=5 in
so
[tex]\frac{60}{c}=\frac{40}{16}=\frac{a}{12}=\frac{b}{5}[/tex]
Find the value of c
[tex]\frac{60}{c}=\frac{40}{16}[/tex]
[tex]c=60(16)/40[/tex]
[tex]c=24\ in[/tex]
Find the value of a
[tex]\frac{40}{16}=\frac{a}{12}[/tex]
[tex]a=40(12)/16[/tex]
[tex]a=30\ in[/tex]
Find the value of b
[tex]\frac{40}{16}=\frac{b}{5}[/tex]
[tex]b=40(5)/16[/tex]
[tex]b=12.5\ in[/tex]
Final answer:
To find the unknown sides of the two similar quadrilaterals, we calculate the scale factor using known side lengths, then apply this factor to determine the missing side lengths, resulting in 7.5 inches for the second quadrilateral and 128 inches for the first quadrilateral.
Explanation:
The subject of this question is finding the unknown lengths of the sides of two similar quadrilaterals. To determine the lengths, we first need to identify the scale factor that relates the two quadrilaterals. Given that the two longest sides of the first quadrilateral are 40 inches and 60 inches, and that the three shortest sides of the second quadrilateral are 5 inches, 12 inches, and 16 inches we can determine that the quadrilaterals must have been scaled by a factor that relates these sides.
To find the scale factor, we divide one of the known sides of the first quadrilateral by the corresponding side of the second. Let's use the sides 40in and 5in for this purpose: Scale factor = 40in / 5in = 8.
Now, to find the length of the unknown side of the second quadrilateral, we would multiply the length of the corresponding side of the first quadrilateral by the inverse of the scale factor, which in this case is 1/8. Conversely, to find the missing length of the first quadrilateral, we take the known length of the second quadrilateral and multiply it by the scale factor.
To find the unknown length of the longest side of the second quadrilateral, we multiply the length of the longest side of the first quadrilateral (which could be either 40in or 60in) by the inverse of the scale factor: Unknown longest side of second quadrilateral = 60in ×(1/8) = 7.5in.
Similarly, the unknown third side of the first quadrilateral is found by multiplying the third known side of the second quadrilateral by the scale factor: Unknown third side of first quadrilateral = 16in ×8 = 128in.
Therefore, the unknown sides of the two figures are 7.5in for the second quadrilateral and 128in for the first quadrilateral.
537.05 is what percent of 467
Answer:
115%
Step-by-step explanation:
Set up the equation like this:
537.05 / 467 = x / 100
Cross multiply
467x = 53705
x = 115
can you divided 14 shirt into 2 equal piles why or why not
Answer:
Yes you can because 14 is a even number.
Step-by-step explanation:
First you divide 14 by 2 to get two equal piles and boom there's your answer.
Yes, you can divide 14 shirts into 2 equal piles, due to the fact that 14 is an even number.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The solution is as simple as dividing 14 by 2 to produce two equal piles.
⇒ 14/2
⇒ 7
Thus, you can divide 14 shirts into 2 equal piles, due to the fact that 14 is an even number.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
I need help with 19 please help and if you can tell me step by step or show your work please!!!
Answer:
This will occur again in 15 more days.
Step-by-step explanation:
Simply divide 15 by 3, which equals 5, in which makes it the least common multiple of 5 and 3.
In Alaska, the temperature can get cold really quickly. Yesterday, the temperature dropped 3 degrees for 9 hours straight. What is the total temperature change during the 9 hours?
Answer:
27
Step-by-step explanation:
3 x 9 = 27
you just multiply the two. (if it asks for temperature after the hours just subtract)
The temp dropped 27 degrees. 3 degrees times 9 nights is 27 degrees dropped. :)
Solve for x and Y using the angles shown, please helppp
Answer:
x = 6
y = 24
Step-by-step explanation:
(14x + 4) + (16x - 4) <--- you add them because they are supplementary angles and are equal to 180°
(14x + 4) + (16x - 4) = 180
30x = 180
[tex]\frac{30x}{30} = \frac{180}{30}[/tex]
x = 6
Then you plug in 6 to (14x + 4)
(14(6) + 4) = 84 + 4 = 88
180 - 88 = 92
Now subtract 92 from 180 and make it equal to (4y - 8) to get y.
(4y - 8) = 180 - 92 ---> (4y - 8) = 88
+ 8 + 8
4y = 96
[tex]\frac{4y}{4} = \frac{96}{4}[/tex]
y = 24
Answer:
x = 6, y = 24Step-by-step explanation:
We have the vertical angles and supplementary angles.
Vertical angles are congruent. Therefore we have the equation:
[tex](1)\qquad14x+4=4y-8[/tex]
Supplementary angles add up to 180°. Therefore we have the equation:
[tex](2)\qquad(16x-4)+(14x+4)=180[/tex]
Solve (2):
[tex](16x-4)+(14x+4)=180\qquad\text{combine like terms}\\(16x+14x)+(-4+4)=180\\30x=180\qquad\text{divide both sides by 30}\\x=6[/tex]
Put the value of x to (1) and sole:
[tex]4y-8=14(6)+4\\4y-8=84+4\\4y-8=88\qquad\text{add 8 to both sides}\\4y=96\qquad\text{divide both sides by 4}\\y=24[/tex]
distance between (-3,5) an (-4,1)
Answer:
Step-by-step explanation:
note : distance between A(X1,Y1) an B (X2,Y2) is :
AB= √((X2 - X1)² + (Y2 - Y1)²)
in this exercice : X1 = -3 X2 = - 4 Y1 = 5 Y2 = 1
continue .....calculate AB
What is 8 3/8 + 10 1/3 =
Answer:
18 17/24
Step-by-step explanation:
for further reasoning how i got the awnser ask in the comments
Answer:18.7
Step-by-step explanation:
1 Point
The legs of a triangle measure 13 centimeters and 17 centimeters. Which of
the following is the measure for the longest side of the triangle?
O A. 30 cm
O B. 4 cm
O C. 31 cm
O D. 29 cm
SUBMIT
Answer:
D. 29 cm.
Step-by-step explanation:
The measure of the longest side cannot be equal or greater than (17 + 13) = 30 cm or it wouldn't be a triangle.
So it cannot be 30 or 31 cm long. Also as we want the longest side so it can't be 4 cm.
The answer is 29 cm.
Seth traveled 1 mile in 57.1 seconds how many miles per hour does he drive
one hour has 60 minutes, each minute has 60 seconds, so then an hour has 60*60 seconds, namely 3600 seconds. How many miles does Seth travel in 3600 seconds?
[tex]\bf \begin{array}{ccll} miles&seconds\\ \cline{1-2} 1&57.1\\ x&3600 \end{array}\implies \cfrac{1}{x}=\cfrac{57.1}{3600}\implies 3600=57.1x \\\\\\ \cfrac{3600}{57.1}=x\implies 63.05 \approx x[/tex]
Answer:
In order to find miles per hour we must first change the time given to us (57.1 seconds) into hours. We will do this by first changing the seconds to minutes:
57.1 seconds / 60 = .952 minutes
Now we can change our minutes to hours:
.952 minutes / 60= .016 hours
Now to find miles per hour we divide the miles by our time:
1 mile / .016 hours = 63.04 mph
What is the solution set of (x | x>-5) V{xl x<5)?
A) numbers except -5 and 5
B)the numbers between -5 and 5
C)the empty set
D)all real numbers
Answer:
I believe the answer to this is D. All Real Numbers. I had the same question and this is what I picked.
Hope it helps!
Solve the following system of equations graphically on the set of axes below. y=2x−5.
3x+4y=24
Answer:
all work is shown and pictured