Answer:
-4x > 24
x< 6
Step-by-step explanation:
-4x + 5 > 29
-4x + 5 - 5 > 29 - 5 (subtracted 5 on both sides)
To remove +5, Sam subtracted 5 on both sides. but 29-5 is 24
we always put the sign of greatest number . so its positive
-4x > 24 is correct
-4x/-4 > 24/-4
Dividing both sides by -4 is correct. But when we divide by negative number we need to flip the inequality sign . so > becomes <
x < 6
I'll help with a few because no-one wants to just do your homework
there is the formula way or the intuitive way
(-19, -2) (-17, -10)
now slope is (difference in y)/ (difference in x)
or
(y2 - y1)/(x2 - x1) the formula. where x2 just means the second x
<u>formula way:</u>
(-19, -2) (-17, -10)
(-10 - (-2))/ (-17 - (-19)) ReM: Negative on number and in the formula
(-10 + 2)/ (-17 +19) = -8/2 slope is - 8/2
<u>intuitive way</u>
(-19, -2) (-17, -10)
(difference in y)/ (difference in x)
lets looks at the ys
-2 and -10; how many steps from -2 to -10? -8 the diff in y
lets looks at the xs
-19 to -17; how many steps from -19 to -17? + 2 the diff in x
so its -8/2
Using proportions, the number of 1/4 cup servings that she can make is given by:
B. 3 and 5/9.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, considering that Susie has 8/9 of a cup, the following <u>rule of three</u> is established:
1 serving - 1/4 cups
x servings - 8/9 cups
Applying cross multiplication:
9x = 32
x = 32/9
Since 32 divided by 9 has quotient 3 with remainder 5, the correct option is given by:
B. 3 and 5/9.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
In 6 months, Simple interest of $6 will be earned for investing $100.
<u>Step-by-step explanation:</u>
Step 1:
Given details are Principal (P) = $100, SI rate (R) = 12%, Time (T) = 6 months = 0.5 years
Step 2:
Calculate Simple Interest by the formula SI = PRT/100
⇒ SI = 100 × 12 × 0.5/100
⇒ SI = $6
The 4th one is the answer
