Answer: 60 cups of cheese
Step-by-step explanation:
noodles:cheese:potatoes
4:5:7
192 total cups of soup
each unit of recipe is 4+5+7=16
so divide total cups of soup by one recipe unit
192/16=12
This means 12 recipe units were used. So each value from ratio 12 times...
4:5:7 = one unit of soup (16 cups)
48:60:84 = 12 units of soup (192 cups)
So 60 cups of cheese are needed for 192 cups of soup.
The measures of the three angles of a
triangle are given by 2x + 6, x, and 3x.
What is the measure of the largest angle?
Answer:
[tex]\boxed {\boxed {\sf 87 \ degrees}}[/tex]
Step-by-step explanation:
The angles in a triangle must add to 180 degrees.
We are given three angles: 2x+6, x, and 3x. Their sum must be 180, so we can create an equation.
[tex]2x+6+x+3x=180[/tex]
Combine like terms (all terms with an x) on the left side.
[tex](2x+x+3x)+6=180[/tex]
[tex]6x+6=180[/tex]
Now solve for x by isolating the variable.
6 is being added and the inverse of addition is subtraction. Subtract 6 from both sides.
[tex]6x+6-6=180-6\\6x=174\\[/tex]
x is being multiplied by 6. The inverse of multiplication is division. Divide both sides by 6.
[tex]6x/6=174/6 \\x=29[/tex]
Substitute 29 for x in the angle measures.
2x+6= 2(29)+6=58+6=64x=29 3x= 3(29)=87The largest angle is 87 degrees.
Consider a rectangular prism with length 4 and width and height d.
Write an expression for the volume of the prism in terms of d.
Answer:
Volume of rectangular prism = 4d² unit²
Step-by-step explanation:
Given:
Length of rectangular prism = 4 unit
Width of rectangular prism = d unit
Height of rectangular prism = d unit
Find:
Volume of rectangular prism
Computation:
Volume of rectangular prism = [l][b][h]
Volume of rectangular prism = [4][d][d]
Volume of rectangular prism = 4d² unit²
builder has some red and grey bricks. The red bricks weigh 7 kilograms each, and the grey bricks weigh 5 kilograms each. If the total weight of all 4 bricks is 22 kilograms, how many of each type of brick does Cara have?
red bricks
grey bricks
Please help!!!!
Answer:
3 grey and 1 red
Step-by-step explanation:
5 x 3 = 15
15 + 7 = 22
A circle is centered at K(0,0)K(0,0)K, left parenthesis, 0, comma, 0, right parenthesis. The point U(6,-4)U(6,−4)U, left parenthesis, 6, comma, minus, 4, right parenthesis is on the circle.
Where does the point V(\sqrt{2},-7)V(
2
,−7)V, left parenthesis, square root of, 2, end square root, comma, minus, 7, right parenthesis lie?
Answer:
inside the circle
Step-by-step explanation:
Khan Academy
12. Find u · v for u = 3i + 4j and v = i - 2j
a.
[tex] \sqrt{5} [/tex]
b. -5
c. 10
d. 3i - 8j
please answer
20 no ans class 8 maths
Answer:
what r u even saying
Step-by-step explanation:
One Baseball Weigh 14.2 g how many grams would 100 baseballs weigh
Answer:
1,420 grams per 100 baseballs
Step-by-step explanation:
Set up an equation:
Variable x = grams per 100 baseballs
1/14.2 = 100/x
Cross multiply
1 × x = 14.2 × 100
1x = 1420
x = 1420
I need help ill mrk you correct
Answer: 70
Step-by-step explanation:
do 21*3 which would be 90% but the actual number would be 63. but there is still 10% left and you are given and number for 30% so divide 21 by 3 which you get 7 so 63+7=70
Mai got a $50 gift card to an online book store. She uses the gift card to buy a bookmark for $1.29. She also wants to use the gift card to buy some books. Each book costs $9.99. Which of these inequalities describes this situation, where b is the number of books Mai wants to buy?
Answer:
you have to round down because if you round up she wouldn't have enough money. And you can't buy half a book.
Step-by-step explanation:
Put the fraction from least to greatest. 2/5, 1/2, 7/10, 10/7, 3/1.
2/5 , 1/2 , 7/10 , 10/7 , 3/1
Step-by-step explanation:
hope this helped
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
PLEASE HELP ASAP!!!
5/25=
what is this fraction equal to
1/5
Step-by-step explanation:
I have done this sir
Lee laaa
Answer:
1/5
Step-by-step explanation:
5/25 = ?
well so
5 x 5 = 25 so that means that there is 5 parts for each 1 whole
5/25 = 1/5
which is the solution set for the quadratic equation x^2-9=0
===================================================
Explanation:
We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus
x^2 - 9 = 0
x^2 = 9
x = sqrt(9) or x = -sqrt(9)
x = 3 or x = -3
To check these answers, you replace x with those values we found. I'll show you how to check x = 3
x^2 - 9 = 0
(3)^2 - 9 = 0
9 - 9 = 0
0 = 0
So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.
------------------
Another method you could do is to use the difference of squares rule
x^2 - 9 = 0
x^2 - 3^2 = 0
(x - 3)(x + 3) = 0
Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x
x-3 = 0 or x+3 = 0
x = 3 or x = -3
We end up with the same solution set.
Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.
Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.
Zaira has a flower garden outside her
house. She plants 12 flowers and waits
for them to grow. Of those flowers,
2/6 of them are yellow. How many of
Zaira's flowers are yellow?
the correct answer
a. 2
6. 4
C. 24. D6
Answer:
4 of her flowers are yellow.
Step-by-step explanation:
[tex] \frac{2}{6} = \frac{4}{12} [/tex]
6 x 2 = 12 and 2 x 2 = 4
PLEASE HELP
lines m and p are cut by the transversal n. determine the value of x. write the measures of the six angles. show all work
x = 36
Step-by-step explanation:
The angles 4x and x are supplementary, meaning they add up to 180; therefore we have
[tex]4x + x = 180[/tex]
[tex]5x = 180[/tex]
dividing both sides by 5 gives
[tex]x = 36[/tex]
the measure of angle x is 36 and that of 4x is 4 * 36 = 144
The angle opposite to 4x also measures 144 and the one opposite to x is 36.
Answer:
x° + 4x° = 180°
5x° = 180°
x° = 180°/5
x° = 36°
Is this right? please help me.
a disk in the shape of a circle has a diameter of 64 millimeters. what is the radius of the disk?
Answer:
the radius is 32
Step-by-step explanation:
the radius of a circle is half the diameter
hope this helps
un camion puede llevar una carga maxima de 5 t. en una fabrica ha cargado 6 contenedores de 3 q y 85 kg uno. ¿cuantos kilos mas pueden cargar?
Answer:
puede cargar 205 killos pero no mas de 260 por el peso.
Step-by-step explanation:
5t. 3q 85kg
ILL GIVE BRAINLIEST! PLEASE HELP I DONT UNDERSTAND!
Use the arithmetic series formula to calculate the sum of the first 15 terms of the sequence: a n =5n+3
Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula [tex]a_{n}[/tex] = 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ = [tex]\frac{15}{2}[/tex] [ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645
Hey peoples I have a question about Quadratics so one question said
(x+9)(x+4) find the middle term do they mean like the standard form is a^2+ bx+c
are they asking to find b?
Answer:
Yes
Step-by-step explanation:
In [tex]a^2+bx+c[/tex], b is the middle term.
What is the greatest common factor of 5xy and 20x
Answer:
5x
Step-by-step explanation:
A sample of nitrogen gas has a pressure of 6.58 kPa at 539K. If the volume does not
change, what will the pressure be at -62C.
Answer:
2.575844
Step-by-step explanation:
This is a simple change of temp problem, from 539K to -62C but to start you have to change the C to K, which is simply adding 273 to the -62 so 211K.
Now you take P1/T1 = P2/T2 so,
6.58 = x
539 = 211
now cross multiply and divide, 211 x 6.58 then divide by 539.
this will give you your answer
***BTW DONT CLICK THE LINK ON THE ANSWER BELOW OR ABOVE THAT LEADS TO SOME MALWARE***
Can someone please help me answer this question asap thank you
The total surface area of this triangular pyramid is_____?
help asap
Answer: 208 in^2
Step-by-step explanation:
find the surface area of the square base
8(8)=64
find the surface area of the 4 triangular lateral faces
SA=4(bh÷2)
4(8 x 9 ÷2)
4(36)=144
add the surface area of the square base and lateral faces
64+144=208
If c.p is Rs300 , profit is 15 percent then find profit percent and s.p
Step-by-step explanation:
profit =profit% of cp=15/100×300=Rs45
SP=CP+profit=300+45=Rs345
The population of a city increases by 3.1% per year. If this year's population is 119,000, what will next year's population be, to the nearest individual?
- I just honestly don't know where to start. I haven't done percents in a while, so I need to jog my memories. Any advice on where to start?
Answer:
The next year population is 122,689
Step-by-step explanation:
The computation of the next year population is as follows:
= This year population × increase percentage
= 119,000 × (1 + 0.031)
= 119,000 × 1.031
= 122,689
Hence, the next year population is 122,689
The above formula is applied so that the correct value of the population could come
and the same is relevant
- Hope this helped! ^ω^
plss help i’ll give brainliest thank you!
Answer:
The absolute value of -9 is less than 9 I'm pretty sure
Select the ratio equivalent to tan (o)
Answer:
D.
tangent = opp over adj
Step-by-step explanation:
Find the sum of £1.98,87p and 23p write your answer in pounds £ write your answer in pence P
Answer:
Step-by-step explanation:
23+87+98=208
2.08+1=3.08
3.08-----> 308p
Which function has the greater rate of change? Function 1: y = -1/2x +5
or Function 2: y = -3/4x - 4
I’ll give brainliest
The rate of change is the slope. The slope is the number in front of the x
Function 1 rate of change is -1/2
Function 2 rate of change is -3/4
The greater rate of change would be the steepest slope.
Function 2 has the greater rate of change
See the attached picture.