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valentinak56 [21]
3 years ago
8

A recipe calls for 3 cups of sugar for

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

Answer:

1.5 cups of butter

Step-by-step explanation:

3 : 1 <- this is our ratio

divide by 2

1.5 : 0.5 is our new ratio

equation: 1.5 * ? = 4

? = 3 cups of sugar

multiply the ratio by 3

1.5 : 0.5 = 4 : 1.5

we need 1.5 cups of butter for 4.5 cups of sugar

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How do I find the y intercept in a fraction
Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}

The formula to calculate the slope is the following:

m=\frac{y_2-y_1}{x_2-x_1}

The points are (-6, -9/2) and (4,3), replacing:

m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}

The equation is:

y=\frac{3}{4}x

Therefore, the true statements are:

• Both functions have the same slope

,

• The linear equation does not have a y-intercept

,

• The table and the grahp express an equivalent function

8 0
1 year ago
Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

5m=30

m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0
3 years ago
Please help Need answer Urgently.
KIM [24]
Answer is C
hope this helps!
8 0
2 years ago
PLEASE HELP ME I AM ON A TEST PLEASE!!!!!!!!!!!!
Kobotan [32]

Answer:

1st. Add 5 each time so 5 times 12 = 60 so

5

10

15

20

25

30

35

40

45

50

55

60

2: H = 5M

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
60 + 2а – 4 = 2b + За
Brrunno [24]

Answer:

56 - 2b = a

Step-by-step explanation:

Step 1:

60 + 2a - 4 = 2b + 3a

Step 2:

56 + 2a = 2b + 3a

Step 3:

56 = 2b + a

Answer:

56 - 2b = a

Hope This Helps :)

6 0
3 years ago
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