A factory uses 220,000 gallons of water to produce
2 tons of steel. How many gallons of water are
needed to produce 1 pound of steel?
A 55 gallons
B 110 gallon
C 110,000 gallon
D 440,000 gallon
f(x)=
–
3x+10
f(5t)=
Answer:
[tex]15t+10[/tex]
Step-by-step explanation:
We can plug in for [tex]5t[/tex] into [tex]f(x)[/tex]!
[tex]f(5t)=3(5t)+10=\boxed{15t+10}[/tex]
13. Analyze: How much money is 1/2 of a dollar plus 3/4 of a dollar plus 3/10 of a dollar?
I keep forgetting my fractions.
Answer:
1 dollar & 55 cents
0.5+0.75+0.3=1.55
Find the measure of each marked angle.
The larger angle measures?
The smaller angle measures?
Answer:
the larger one is 105º
the smaller one is 75º
x=11
Step-by-step explanation:
9x+6+6x+9=180
15x+15=180
15x=165
x=11
9(11)+6=106
6(11)+9=75
Answer:
x = 11
Step-by-step explanation:
the larger one is 105º
the smaller one is 75º
x = 11
While making a sketch for art class, Justin drew the shape shown and then wanted to make sure the triangles were perfectly congruent. After labeling the figure, he used a ruler and found that DF and GE bisect each other at point H.
Which of the following could Justin use to prove ∆DEH ≅ ∆FGH?
A. SAS
B. SSA
C. definition of perpendicular bisector
D. alternate interior angles are congruent
The two triangles have a pair of corresponding sides as well as the
included angles between them that are equal.
Justin could prove that ΔDEH ≅ ΔFGH by A. SAS
Reason:
The known information are;
DF bisects GE, therefore; GH = EH
GE bisects DF, therefore; DH = FH
∠DHE = ∠FHG by vertical opposite angle theorem
Therefore;
DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH
∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH
Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.
Therefore;
ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem
Learn more here:
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The answer would be SAS
Step-by-step explanation: SAS
Perform the indicated operation and simplify the result. x/5+x/6
Hello loll6591!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Perform the indicated operation and simplify the result. x/5+x/6
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \frac{x}{5} + \frac{x}{6} \\ [/tex]
First, find the LCM of 5 & 6, which is 30.
[tex] \rightarrow \frac{x}{5} \times \frac{6}{6} = \frac{6x}{30} \\ \\ \rightarrow\frac{x}{6} \times \frac{5}{5} = \frac{5x}{30} [/tex]
Now add 6x/30 with 5x/30.
[tex] \frac{6x}{30} + \frac{5x}{30} \\ = \frac{6x + 5x}{30} \\ = \large \boxed{\boxed{\frac{11x}{30} }}[/tex]
__________________
Hope it'll help you!
ℓucαzz ッ
Please help quick! Find the length of the third side. If necessary, write in simplest radical form.
th answer is srqt(65) srqt)65)
Which shows the expression below in simplified form?
(5 × 105) × (6 × 10-2)
Answer:
30450.
Step-by-step explanation:
Not sure what you meant by simplify? Hope this helps.
Find the area of the following trapezoid.
Answer:
Your answer should be 48 [tex]cm^{2}[/tex].
Step-by-step explanation:
Hope this helps!
Answer:
48 cm square
Step-by-step explanation:
12×4=48
explanation attached
Which property justifies the statement below?
Answer:
It's associative property because they essentially mean the same thing, with the same signs and numbers and all, except the numbers are in different places.
Step-by-step explanation:
Hope this makes sense :)
I need help please LOL
A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?
The cost can be optimized by using a Linear Programming given the linear constraint system
To minimize the cost, the biologist should use 60 samples of Type I bacteria and 0 samples of Type II bacteriaReason:
Let X represent Type 1 bacteria, and let Y, represent Type II bacteria, we have;
The constraints are;
4·X + 3·Y ≥ 240
20 ≤ X ≤ 60
Y ≤ 70
P = 5·X + 7·Y
Solving the inequality gives;
4·X + 3·Y ≥ 240
[tex]Y \geq 80 - \dfrac{4}{3} \cdot X[/tex] (Equation for the inequality graphs)The boundary of the feasible region are;
(20, 70)
(20, 53.[tex]\overline 3[/tex])
(60, 0)
(60, 70)
The cost are ;
[tex]\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right][/tex]
Therefore, the minimum cost of $300 is obtained by using 60 samples of Type I and 0 samples of Type IILearn more here:
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4x + 5
————
2
=9x - 3
Answer:
x=11/10=1.100
Step-by-step explanation:
you can read 20 pages in 45 minutes. how many pages can you read in 1 minute
Answer:
enough to process what a word is
Step-by-step explanation:
(EASY) Is this an equilateral triangle?
Answer:yes
Step-by-step explanation
Answer:
NO
Step-by-step explanation:
This is an isosceles triangle. AC is longer than AB and BC.
help help help me plssssssss
Answer:
2,276 ≤ 2,336.6 < 60.6
Step-by-step explanation:
I. When m is combined mass of car and person which is
2,276 + 60.6 = 2,336.6
II. Write into the interval a <= m < b
So we can write as
2,276 ≤ 2,336.6 < 60.6 will return to False.
or
60.6 ≤ 2,336.6 < 2,276 will return to False.
That makes 2,276 ≤ 2,336.6 < 60.6 is the right answer.
Hope that help :)
5/8 times by 1/12
What is the answer in its simplest form?
Answer: 5/96
Step-by-step explanation:
(-4, 12) and (-7, -3)
Answer:
The slope is 5/1 or 5
Step-by-step explanation:
Hope this helps!
Marty has a scale model of a car. The scale is 1 in. : 32 in. If the model is 6.75 in. long, how long is the actual car?
Answer:
216 inches or 18 feet
Step-by-step explanation:
6.75*32=216 inches or 18 feet
name two pairs of perpendicular lines
Answer:
AC is perpendicular to CD, and DB is perpendicular to AB
Someone can help me with this
Answer:
hrhrh4vguaiwjnbbbhhhhh
Step-by-step explanation:
jrrjbbdjhtvb4sjjfjjjejsjuhfhrbdhksopapdkbrbhfhhxizidjjdjkkwkalqlpqpwkjdhbdnMsmnznxbbfjsjddheb5vgguyy5
4 lbs 7 oz; oz
conversions ratios thing
Answer:
4 lb 7 oz = 71 oz
Step-by-step explanation:
Do you need to convert 4 lb 7 oz into oz?
If so, do the following.
Obviously, 7 oz is already in oz, so all you need to do is convert 4 lb into oz and then add 7 oz.
1 lb = 16 oz
For every lb, there are 16 oz. To convert lb to oz, multiply the number of lb by 16.
4 lb = 4 * 16 oz = 64 oz
4 lb 7 oz = 4 lb + 7 oz = 64 oz + 7 oz = 71 oz
Due 10/2
for School: Practice & Problem Solving
X 1.9.PS-16
Question Help
5
Challenge Between 9 P.M. and 6:10 A.M., the water level in a swimming pool decreased by in.
24
Assuming that the water level decreased at a constant rate, how much did the water level drop
each hour?
The water level decreased by in. each hour.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Clear All
Check Answer
Answer: The water level drops each hour by 0.1472 inches/hour.
Step-by-step explanation:
We are given that Between 9 AM and 6:10 AM the water level in a swimming pool decreased by 5/12 inches assuming that the water level decreased at a constant rate.
Firstly, we will find the number of hours between 6:10 AM and 9 AM, that is;
Number of hours = From 6:10 AM and 9 AM, there are 2 hours and 50 minutes
So, Number of hours = = 2.833 hours
Also, the water level in a swimming pool decreased by = = 0.417 inches
Now, to find how much did the water level drop each hour, we will divide the amount of water level in a swimming pool decreased by the time interval given, that is;
=
= 0.1472 inches/hour.
This means that the water level drops each hour by 0.1472 inches/hour.
0.1472 as a fraction is 92/625
Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart below.
Given: m∠LOM = m∠JKI;
m∠MON = m∠IKH
Prove: m∠LON = m∠HKJ
Answer:
m∠LON = m∠HKJ
Step-by-step explanation:
. m∠LOM = m∠JKI; m∠MON = m∠IKH 1.
2. m∠LOM + m∠MON = m∠JKI + 2.
m∠MON
3. m∠LOM + m∠MON = m∠JKI + 3.
m∠IKH
4. m∠LOM + m∠MON = m∠LON; 4.
m∠JKI + m∠IKH = m∠HKJ
5. m∠LON = m∠HKJ 5.
i bought a 5 pack of wite t shirts for 26$ what is the price per shirt
Answer:
exhausted shirt is $5.20.
Answer:
5.2
Step-by-step explanation:
over here they said that for 5 t-shiets it is 26$
so,
for 1 t-shirt it will be 26÷5= 5.2
so price per t-shir will be 5.20$
PLS MARK BRAINLIEST
what is the volume of this cylinder with a 5 cm radius and 14cm height
Answer:
V≈1099.56cm³
Solution:
V=πr2h=π·52·14≈1099.55743cm³
Gerard collects coins. he has 103 pages of quarters in his coin collection books. each page contains 16 quarters. How many quarters does Gerard have altogether?
please help!
This diagram shows a pre-image △ABC, and its image, △A′′B′′C′′, after a series of transformations. Select from the drop-down menus to correctly complete the statements. △ABC is Choose... to become △A′B′C′. Then △A′B′C′ is Choose... to become △A′′B′′C′′ . Because the transformations are Choose... , the pre-image and image are Choose... . Triangles on a coordinate plane whose axes are labeled x and y. Triangle A B C has vertex A at 1 comma negative 1, vertex B at 4 comma negative 2, and vertex C at 7 comma 2. Triangle A prime B prime C prime has vertex A prime at negative 1 comma 1, vertex B prime at negative 4 comma 2, and vertex C prime at negative 7 comma negative 2. Triangle A double prime B double prime and C double prime has vertex A double prime at negative 1 comma negative 2, vertex B double prime at negative 4 comma negative 1, and vertex C double prime at negative 7 comma negative 5.
The answers that complete the statements of the series of transformations are;
- △ABC to △A′B′C′; because the △ABC has been rotated at angle of 180° about the origin.
- △A′B′C′ to △A′′B′′C′′; Because the △A′B′C′ has been shifted down by 3 units.
- All 3 transformations are rigid transformations
- All three transformations are congruent transformations.
The image showing triangles △ABC, △A′′B′′C′′, and △A′B′C′ is missing and so I have attached it.From the image attached, we see the following coordinates of the triangles;
Coordinates of △ABC; A(1, -1), B(4, -2), C(7, 2)
Coordinates of △A′B′C′; A'(-1, 1), B'(-4, 2), C'(-7, -2)
Coordinates of △A′′B′′C′′; A''(-1. -2), B''(-4, -1), C''(-7, -5)
Now, in transformation from △ABC to △A′B′C′, we see that the pattern of transformation is; (x, y) → (−x ,−y). This pattern where coordinates of x and y are transformed to the negative part of them denotes that there has been a rotation at angle of 180° about the origin.In transformation from △A′B′C′ to △A′′B′′C′′, we see that triangle shifted down because the y-coordinates have reduced by 3 units. Thus, we can say that the transformation was to shift △A′B′C′ down by 3 units.In each of the transformations, we can tell that regardless of the position of the triangle, the distances AB, BC and AC remain the same. Thus, the transformation is rigid. The transformations are also congruent because all their corresponding sides are equal.Read more at; https://brainly.com/question/11254677
work out the gradient of the line y=5x-3
Answer:
The answer is 5
Step-by-step explanation:
The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer. The slope is 5.
The slope is the ratio of rise to run of a line. The gradient of the line y=5x-3 is 5
How to determine the gradient of a line?The gradient of a line is also known as the slope and it is the ratio of rise to run of a line
The standard equation of a line in slope-intercept form is expressed as y = mx +b
m is the slope or gradient
Given the equation of a line y = 5x - 3
Compare
mx = 5x
m = 5
Hence the gradient of the line y=5x-3 is 5
Learn more on slope here: https://brainly.com/question/3493733
answer to get free poin
Answer:
You dont even have a question
Step-by-step explanation: