Michelle is working on a design for a new building. She has built a model of the building according to the client's specifications.
The height of the model is 15 inches, the slant height of the model is approximately 17 inches, and the base has a length of
14 inches and a width of 20 inches.
w
Note: picture not drawn to scale.
Michelle must order appropriate equipment to heat and cool the building, so she must use the model to determine how much
space there will be inside. What is the volume of her model? (Round to the nearest hundredth, if necessary.)
OA
5,600 cubic inches
OB
1,400 cubic inches
OC. 280 cubic inches
OD
980 cubic inches
Answer:
Step-by-step explanation:
980
Answer the question below* 1 point A grocery store offers a service where customers can place an order and have their groceries delivered to their home for an additional fee. The equation y = 1.1x can be used to find y, the total cost in dollars for x, the grocery cost in dollars. Arlyn has groceries delivered for a total cost of $119.90. He says his grocery cost must be $108.90. Is Arlyn correct? Explain your reasoning. Yes O No
Answer:
No.
Step-by-step explanation:
For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.
Now we have two equations. y=x+z, and z=0.1x.
For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.
We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.
Evaluate the expression when m=25 and n=2
Answer:
what the expression, lmk in comments and then i will help you :)
Step-by-step explanation:
Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent. %
Answer:
27%
Step-by-step explanation:
6/22 is 0.27. when you divide 6 by 22 you get the decimal.
Answer:
27%
Step-by-step explanation:
You purchase an item for $30 dollars. If the sales tax rate is 6% , what is the amount of tax?
Answer:$24
Step-by-step explanation:
How much time required to complete a10days work if it could complete by 3 worker in 4days and 6worker in 3.05 days,if 5 workers is involved in it? please reply
Answer:
This seems to be a linear relationship:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
We know that 3 workers can complete the job in 4 days.
Then if we define W as the rate at which a single worker can complete the work, we have the ordered pair (3 workes, 4 days)
And we also know that 6 workers can finish the job in 3.05 days, then we also have the ordered pair (6 workers, 3.05 days)
Then using these two, we can find the slope of the line:
a = (3.05 days - 4 days)/(6 workers - 3 workers) = -0.35 days/worker.
Then we have the equation:
y = (-0.35 days/worker)*x + b
Where:
y represents the time to complete the job
x represents the number of workers.
b is the y-intercept, to find the value, we could just replace one of the points in the equation, for example with the point (3 workes, 4 days) we need to replace x by 3 workers, and y by 4 days:
4 days = (-0.35 days/worker)*3 workers + b
4 days = -1.4 days + b
4 days + 1.4 days = 5.4 days = b
then the equation is:
y = (-0.35 days/workers)*x + 5.4 days.
Now we can find the number of days needed for 5 workers to finish the job, we just need to replace x by 5 workers:
y = (-0.35 days/workers)*5 workers + 5.4 days
y = 3.65 days.
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 25% syrup?☺
Answer:
1.25 IBs of sugar, 3.75 IBs of water
Answer:
1.25 3.75
Step-by-step explanation:
SOLVE FOR Y, WILL GIVE BRAINLIEST
Step-by-step explanation: Notice that the angle diagonal
of the 114° is a vertical angle and vertical <'s are ≅.
Now, notice that we have two parallel lines cut by a transversal.
If two parallel lines are cut by a transversal, then
consecutive interior angles are supplementary.
So we can setup the equation 114 + y + 12 = 180.
Simplifying on the left gives us 126 + y = 180.
Now subtract 126 from both sides to get y = 54.
2 - (7/8) - (3/4) i need help its hard :/
Answer:
0.375
Step-by-step explanation:
Answer:
The answer is 1 and 39/50Step-by-step explanation:
Hope this Helps! :)
I need an example of a proportional relationship
Answer:
if you want an equation... an example could be
y=3x+5
Step-by-step explanation:
Answer:
Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.
pls give brainliest
Can somebody plz help!!
Marlena has a bag of coins the bag contains 8 quarters 10 dimes 4 nickels and 2 pennies she will randomly select a coin from the bag what is the probability that marlena will select a nickel?
A 1/12
B 1/3
C 1/6
D 1/5
is -9 greater thank or less than 8
Marlena has a bag of coins the bag contains 8 quarters 10 times 4 nickels + 2 pennies she would randomly select a coin from the bag what is the probability that Marlena will select and nickel
A) 1/12
B) 1/3
C) 1/6
D) 1/5
Plz help!!
Answer:
C) 1/6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
We have 8 + 10 + 4 + 2 = 24 coins
Of those, 4 are nickels. So
[tex]p = \frac{4}{24} = \frac{1}{6}[/tex]
The correct option is given by option C.
Find the product of the
L.C.M and H.C.F of 8 and 12.
Answer:
96 is the answer.Step-by-step explanation:
The L.C.M of 8 and 12 is 24The H.C.F of 8 and 12 is 4We multiply 24 *4 we shall get 96 as the answer.Answer:
24*4=96
Step-by-step explanation:
lcm of 8 and 12 is 24
hcf of 8 and 12 is 4
24 times 4 = 96
A can of soup contains 1 1/4 cups. A serving is 1/2 of a cup. How many servings are in the
can?
1 3/4
3
21/2
2
Answer:
c 2 1/2
Step-by-step explanation:
Answer:
I think it is b. 3. Im not sure though.
Step-by-step explanation:
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
453 acres
489 acres
509 acres
553 acres
Answer:
553 acres
Step-by-step explanation:
94010 ÷ 170 =553
Answer:
D
Step-by-step explanation:
is a soup bowl a gallon quart pint or cup
Answer:
their are different sizes of soup bowls
Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53
Answer:
Choice 3: AAS
Step-by-step explanation:
We can prove that by AAS that means we need two congruent angles and one congruent side.
The first angle will be the vertical pair <FBG and <DBC.
The second angle will be the alternate interior pair <G and <D.
The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].
In the figure, ΔABC~ΔADE. Find the length of line segment DE.
Answer:
13
Step-by-step explanation:
[tex]\triangle ABC \sim \triangle ADE => \frac{x}{x+10}=\frac{x+3}{x+16}=>x^{2}+16x=x^{2}+13x+30=>3x=30=>x=10\\DE=x+3=>DE=13[/tex]
plz help!! Describe the transformation from the graph of f(x) = 3x + 4 to the graph of g(x) =f(x) + 2.
Pls be honest I’ll mark u
Answer:
C) 10
Step-by-step explanation:
Under her cell phone plan, Lily pays a flat cost of $55.50 per month and $4 per
gigabyte. She wants to keep her bill at $63.10 per month. Write and solve an equation
which can be used to determine x, the number of gigabytes of data Lily can use while
staying within her budget.
equation:
answer x=
Answer:
Equation : y = 4x + 55.50
x = 1.9 gigabytes
Step-by-step explanation:
Given that:
Flat fee per month = $55.50
Cost per gigabyte = $4
Let,
x be the number of gigabytes.
y be the total cost
y = 4x + 55.50
Lily wants to keep her bill $63.10
63.10 = 4x + 55.50
63.10 - 55.50 = 4x
4x = 7.60
Dividing both sides by 4
[tex]\frac{4x}{4} = \frac{7.60}{4}\\x=1.9[/tex]
Hence,
Equation : y = 4x + 55.50
x = 1.9 gigabytes
Answer:
Equation: 4x+55.5=63.1
Answer: x=1.9
Sarah used 3 pound of blueberries to make 1 cup of jam. How many pounds of blueberries would she need
42
to make a cup of jam?
Answer:
126 pounds of blueberries
Step-by-step explanation:
1cup of jam=3pounds of blueberries
42cups of jam=?
42 X 3=126
What is the approximate area of the shaded sector in the circle shown below? 145°
A. 34.6 in2
B. 4.68 in 2
C. 17.3 in2
D. 9.36 in2
Answer: 17.3 in 2
Step-by-step explanation
The approximate area of the shaded sector is 34.6 in2.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
Angle = 145°
Now,
The area of a sector of a circle is given by the formula A = (θ/360)πr2, where θ is the central angle in degrees and r is the radius of the circle. In this case, θ = 145° and r = 7 in.
Plugging these values into the formula, we get: A = (145/360)π(7)^2. Simplifying, we get: A = 0.4028π(49). Using a calculator, we get: A ≈ 34.6 in2.
Therefore, by the area the answer will be 34.6 in2.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
#SPJ7
What is the exact value of sin (-5x/3
1/2
-1/2
✔️3/2
-✔️3/2
Answer:
Step-by-step explanation:
helppppppppppppppppppppppppp
answer is 150
pls give branliest
Answer: 72
Step-by-step explanation: A = ½(b 1 +b 2)h
PLEASE ANSWER QUICKLY
x^3 + 5x^2 + 2x + 10 = 0
Let's solve your equation step-by-step.
x3+5x2+2x+10=0
Step 1: Factor left side of equation.
(x+5)(x2+2)=0
Step 2: Set factors equal to 0.
x+5=0 or x2+2=0
x=−5
Answer:
x=−5
SOLVE FOR X AND Y !! WILL GIVE BRAINLIEST
Answer:
x=21, y=17
Step-by-step explanation:
180-42= 138
2x+138=180
2x= 42
x= 21
8y+2+2x=180
8y+2 + 42=180
8y= 136
y= 17
Answer:
x=21, y=68
Step-by-step explanation:
We're given that the quadrilateral on the left is a parallelogram as indicated by the arrow markings on the sides. We're also told that the angle on the right is 42 degrees. So, we can find the bottom right angle in the parallelogram by subtracting 42 from 180, because it forms a straight angle. 180-42 is 138. By the alternate interior angles theorem, 8y+2=138, because 138 is also the angle measure of the opposite corner. we also know that the bottom left angle in the parallelogram is the same as 2x. by the alternate interior angles theorem. Notice how the sides of the parallelogram with two arrow markings are parallel, which means that the bottom left angle and the 42 degree angle are congruent, or have the same measure, because of the parallel lines. This means that 2x=42, and the bottom left angle is 42. We can solve for x and y with simple algebra now. 8y+2=138, 8y=138-2, 8y=136, y=68. 2x=42, x=42/2, x=21. So, x is 21 and y is 68.
At a local basketball game, all tickets are the
same price and all souvenirs are the same price.
Mr. Smith bought 2 tickets to this basketball game
and 1 souvenir for a total of $17.25. Ms. Lockhart
bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to
this game?
A - Mr. Smith
17.25 ÷ 3
= $5.75 ~ $6 Rounded-Off
B - Ms. Lockhart
42 ÷ 7
= $6
Each Ticket Costs approx. $6 Each