Answer:
One taco costs $3.75.
Step-by-step explanation:
Let x = cost of taco
You order 2 tacos: 2x
You add a salad: 2x + 2.5
You pay 8% sales tax on 2x + 2.5, so you pay 1.08(2x + 2.5)
You leave a $3 tip, so the total you pay is: 1.08(2x + 2.5) + 3
The total you pay is $13.80
1.08(2x + 2.5) + 3 = 13.80
Subtract 3 from both sides.
1.08(2x + 2.5) = 10.8
Divide both sides by 1.08
2x + 2.5 = 10
Subtract 2.5 from both sides.
2x = 7.5
x = 3.75
One taco costs $3.75.
Jeremy has 3 pounds of ground beef to make hamburgers. How many 13-pound hamburgers can he make? 12 9 6 1
Answer: 9
Step-by-step explanation:
please answer
3. the mass per unit area of a type of plastic sheet is 2kg per m². state the rate in g per 100 cm²
4. a rubber plantation uses fertiliser at a rate of 250kg per hectare. state the rate of fertiliser consumption in g per m². [ 1 hectare = 10 000m² ]
Answer:
Step-by-step explanation:
2kg/m² convert to g/100cm²
1 kg=1000 g
2kg= ???
2*1000=2000kg
m ⇒ 100cm
m² ⇒ 10000 cm²
2kg/m²=2*1000/(10000/100) cm²
=2000/100 cm²
4- 250kg/hectare250*1000=250000
1 hectare=10000 m²
250000/10000 g/m²
Becky brought cookies to work. The graph below shows the number of cookies her individual coworkers ate.
How many people ate fewer than 6 cookies?
Answer:
18 people
Step-by-step explanation:
count the x's over the 1, 2, 3, 4, and 5 dashes
1 = 3 people
2 = 5 people
3 = 3 people
4 = 4 people
5 = 3 people
3 + 5 + 3 + 4 + 3 = 18
Answer:
19 people not 18
Step-by-step explanation:
End of year assessment
Answer:
Don't fail
Step-by-step explanation:
Rosa has a fish tank in the shape of a rectangular prism. The fish tank has a length of 20 inches and a width of 10 inches. Rosa pours 15 gallons of water into the fish tank. How high, to the nearest tenth of an inch, will the water reach in the tank?
Answer:
Height = 18.2 inches
Step-by-step explanation:
15 gallons = 3,465 cubic inches
Length of the rectangular prism = 20 inches
Width of the rectangular prism = 10 inches
Height of the rectangular prism = x inches
Volume of the rectangular prism = 3,645 cubic inches
Volume of the rectangular prism = length × width × height
3,645 = 20 × 10 × x
3,645 = 200x
Divide both sides by 200
3,645 / 200 = x
18.225 = x
To the nearest tenth of an inch
x= 18.2 inches
Therefore,
The rectangular prism is 18.2 inches high
I really need some help! I'm really bad with mathematics/geometry! Given paralleogram ABCD≅parallelogram EFGH, which congruency statement is true? A. ∠B≅∠E B. BC≅GH C. ∠C≅∠G D. AD≅EF
Answer:
C
Step-by-step explanation:
The congruency statement ∠ C ≅ ∠ G is the only true statement.
So option C is the correct option.
Given,
parallelogram ABCD ≅ parallelogram EFGH
We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.
The given options are:
A. ∠B≅∠E
B. BC≅GH
C. ∠C≅∠G
D. AD≅EF.
What are parallelograms and their properties?It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.
Properties of a parallelogram :
- The opposite sides are parallel and congruent.
- The opposite angles are equal.
- The consecutive angles are supplementary.
- If any one of the angles is a right angle, then all the other angles will be at
a right angle.
- The two diagonals bisect each other.
So if we compare two parallelograms the above properties are congruent.
Let's draw the two parallelograms ABCD and parallelogram EFGH.
A____________ B E____________F
\ \ \ \
\ \ \ \
\ \ \ \
D_____________C. H____________G
The following are congruent:
AB≅EF
BC≅FG
CD≅GH
AD≅EH
∠ A ≅ ∠ E
∠ B ≅ ∠ F
∠ C ≅ ∠ G
∠ D ≅ ∠ H
Checking the above congruent we see that we have ∠ C ≅ ∠ G in the given option.
Thus, ∠ C ≅ ∠ G is the only correct option.
Learn more about parallelogram here:
https://brainly.com/question/11220936
#SPJ2
If AC = 14, find the value of x. Then find AB and BC.
Your question is incomplete; However, a similar question is:
If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.
This should serve as a guide
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]AB = x[/tex]
[tex]BC = 2x + 2[/tex]
[tex]AC =14[/tex]
Required
Determine x, AB and BC.
Since B is between A and C;
[tex]AB + BC = AC[/tex]
Substitute x for AB; 2x + 2 for BC and 14 for AC
[tex]x + 2x + 2 = 14[/tex]
[tex]3x + 2 = 14[/tex]
Collect Like Terms
[tex]3x = 14 - 2[/tex]
[tex]3x = 12[/tex]'
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in
[tex]AB = x[/tex]
[tex]BC = 2x + 2[/tex]
[tex]AB = 4[/tex]
[tex]BC = 2(4) + 2[/tex]
[tex]BC = 8 + 2[/tex]
[tex]BC = 10[/tex]
Suppose a student picks 3 points at random from A, B, C, T, and D (with D being the plane and the other figures being on a line). The probability that 3 randomly selected points from A, B, C, and D are collinear is ___
Answer:4/5
Step-by-step explanation:
The triangle ABC had points at A(2,0), B (-1,3), and C(4,5) after undergoing a transformation, it’s new points are A’(6,0),B’(3,3), and C’(8,5) is the new figure congruent to the old figure? Why or why not?
Answer:
yes
Step-by-step explanation:
from the two sets of given points, we can conclude a translation of (x + 4, y + 0) occurred. when something is congruent the size and shape stay the same. translations only affect the location. therefore the answer is yes the transformation is congruent.
last week Bill ran 31.5m.
less than castel. Bill ran 10.4m.
How many miles did castel run?
Answer:
41.9
Step-by-step explanation:
Add 31.5 and 10.4 on a sheet of paper.
Your answer will be 41.9.
So, the answer is 41.9.
Hope it helps!
Answer:
41.9m Or maybe 41.1m.
Step-by-step explanation:
It works with subtraction and a lil bit of addition.
0.5 + 0.4 = 0.9. Or maybe 0.5 - 0.4 = 0.1?
31 + 10 = 41.
So the answer is 41.9m
(Hope this helped you! <3)
PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS
Q1
Answer:
[tex]x \leqslant \frac{5}{3} [/tex]
Step-by-step explanation:
[tex]3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant \frac{5}{3} [/tex]
explanation for second step:
you divide each side by 3 to get rid of the '3' in '3x'
ASAP I NEED HELP I WILL GIVE BRAINLY:
Answer:
Short Answer is C.
Step-by-step explanation:
182 students out of 400 live off-campus, so 182 divided by 400 = .455 or 45.5%
Factorize each of the following expressions
Answer:
h.) 9w^2(2-3w-4w^2).
I.) x^3(42x^3+36x+49).
k.) 5ab(5a+3b).
l.) 9mn(3n-1m).
n.) 7p^2q^3(2p^2q+p-3q).
This is my answer...I hope it helps you
Maggie is making muffins with a recipe that yields 18 muffins.
a. There are 12 people in Maggie's book club. If the muffins are divided evenly among each person, how much will each person get?
b. If Maggie wants to divide the muffins evenly between 36 students in her class, how much muffin would each person get?
Answer:
1 muffin each
1/2 of a muffin
Step-by-step explanation:
if there are 18 and there are 12 people each person would get 1 and u would have 6 leftover.
they would get 1/2 because if she made 18 and splits each one evenly she would have 36 pieces of muffin and there are 36 people.
(-3) + (+1) =
steps of solving
Answer:
-2
Step-by-step explanation:
Opening brackets,
-3+1=-2
Answer:
-2
Step-by-step explanation:
3 - 1 = 2
so it's basically adding 1 to the -3 so it would be -2
The depreciation for Luke's car can be modeled as A = 30000 - (0.87). He bought the car in 2019.
How much will it be worth in 2022?
A. $0
B. $19,755.09
C. $78,300
D. $1975.51
Answer:
19,755.09
Step-by-step explanation:
2(x-5)=3(x+7) Show the process, please.
Answer:
-31
Step-by-step explanation:
(2×x) - (2×5) = (3×x) + (3×7)
2x-10 = 3x+21
2x-3x = 21+10
-x = 31
therefore, x = -31
Answer:
x=11
Step-by-step explanation:
2(x+5)=3(x+7)
2x+10=3x+21
3x-2x=21-10
x=11
Hope this helps! :)
In the diagram, PQ and ST are parallel lines. Find the value of x.
please help!!
Answer:
x = 95°
Step-by-step explanation:
[tex] m\angle Q = 360\degree - 235\degree = 125\degree \\[/tex]
Produce QR In such a way that it intersects ray ST at any point say M.
PQ || ST... (given) and Seg QM is transversal.
[tex] \therefore m\angle PQM + m\angle SMQ = 180\degree \\(interior \: \angle \:Postulate) \\
\therefore 125\degree + m\angle SMQ = 180\degree \\
\therefore m\angle SMQ = 180\degree -125\degree \\
\therefore m\angle SMQ = 55\degree \\
In\: \triangle SMR, \: x \: is \:exterior \: \angle \\
\therefore x = 40\degree + 55\degree \\
\huge \purple {\boxed {\therefore x = 95\degree}} [/tex]
Add.
-3 + (-4)
And
4 pluse (-3)
Answer:
-6
Step-by-step explanation:
-3 + (-4) 4 + (-3) is -6 I hope that helps because that what I got
find the slope of a line perpendicular to y= -6x+4
Answer:
-6Step-by-step explanation:
y= -6x+4 is in y=mx +b
[tex]y= -6x+4 \\Slope =m = -6[/tex]
y varies directly with x, y=8 when x=5. Find y when x=10. Picture attached, 15 points and I'll give Brainliest! Due in 2 hours.
Answer:
16
Step-by-step explanation:
A direct variation equation has the following format:
[tex]y=kx[/tex]
Where k is the constant of proportionality.
Therefore, we want to find k.
We know that when x=5, y=8. Substitute the values:
[tex]8=5k[/tex]
Divide both sides by 5:
[tex]k=\frac{8}{5}[/tex]
Thus, the constant of proportionality is 8/5 or 1.6. So, our equation is:
[tex]y=\frac{8}5x[/tex]
To find y when x is 10, plug in 10:
[tex]y=\frac{8}{5}(10)\\y=80/5=16[/tex]
Thus, y is 16.
Joseph has 10 wooden boards, each is 2 meters in length. he needs 8 yards of wood to repair his fence and 25 feet to make shelves. Which project(s) can joseph complete with the wood he has? Note that 1 meter is approximately 1.09 yards.
a. Joseph can complete both projects
b. Joseph can only repair his fence.
c. Joseph can only make shelves
d. Joseph does not have enough wood to complete either job.
Answer:
the answer is A he can complete both projects.
Step-by-step explanation:
Given the following equilateral triangle,what is X?
Answer:
I could be wrong on this BUT
Step-by-step explanation:
4x+10=30
-10=-10
4x = 20
x= 5
The length of a rectangle is 6 feet more than three times the width of the rectangle. The length of the rectangle is 24 feet. What is the width of the rectangle?
Answer:
6 ft
Step-by-step explanation:
The length is (3 × width) + 6,
And the length is 24
If you take 6 away from the length, it will be 18, because 24 - 6 = 18
And then the length is also 3× the width (+6 - we've already done this part) so if you divide 18 by 3 you will get 6 ft as the answer
hope this helps x
The outside temperature is -13 degrees. The temperature drops by 9 degrees, but then increases by 16 degrees. What is the final temperature outside? *
Answer:
The final outside temperature = -6°
Step-by-step explanation:
GIven that :
the outside temperature = -13°
The temperature drops by 9°
But then increases by 16°.
The final temperature can be expressed as:
the outside temperature - temperature drop
= -( 13° - 9°)
= - 22°
it is said that the temperature later increase by 16°
∴ - 22° + 16°
= -6°
The final outside temperature = -6°
Describe how to divide using partial quotients
Answer:
Subtract from the dividend an easy multiple of the divisor (e.g. 100x, 10x, 5x, 2x). Record the partial quotient in a column to the right of the problem. Repeat until the dividend has been reduced to zero or the remainder is less than the divisor. Add the partial quotients to find the quotient.
Step-by-step explanation:
Describe how to divide using partial quotients^^
8. The square and equilateral triangle below have equal perimeters. Find the value of x. Then, calculate the perimeter of each shape. 78 - 8.1 10x - 13 x: 8 Perimeter: 9
Answer:
x=3.3
P = 60
Step-by-step explanation:
The perimeter of the square is
P = 4s
= 4(7x-8.1)
=28x -32.4
The perimeter of the equilateral triangle is
P = 3s
= 3(10x-13)
=30x-39
The perimeters are equal
28x -32.4 = 30x-39
Subtract 28x from each side
28x-28x -32.4 = 30x-28x-39
-32.4 = 2x-39
Add 39 to each side
-32.4 +39 = 2x-39+39
6.6 = 2x
Divide by 2
6.6/2 = 2x/2
3.3 =x
The perimeter is
30x-39 = 30*3.3 -39 = 99-39 = 60
3(x - 2) = 18
what is the solution?
Answer: x=8
Step-by-step explanation:
3(x-2) =18
3(8-2) =18
24-6 = 18
18 = 18
theo can run 1/2 mile in 1/10 hour. If theo continues at this rate how far can he run in a hour?
Can you help me with this i will give you a branliest