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3 years ago

Sammy picks blueberries and cherry tomatoes.

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

b = pints of blueberries

c = pints of cherry tomatoes

3b + 2c = 28

2b = c

First, substitute 2b into the c of the first equation.

3b + 2(2b) = 28

3b + 4b = 28

7b = 28

b = 4

Then, substitute 4 into the b of the second equation.

2(4) = c

c = 8

Then, substitute both values into the first equation to check.

3(4) + 2(8) = 28

12 + 16 = 28

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The figure is symmetric about the x- and y-axis. what is the area of the figure below

kipiarov [429]

Answer:

126 units²

Step-by-step explanation:

Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.

Trapezoid ABRS ≅ trapezoid IHLK

Trapezoid DEOP ≅ trapezoid FEON

Rectangle BCQR ≅ rectangle GHLM

Area of trapezoid is $\frac{b_{1} +b_{2} }{2}h$

Area of rectangle is $lw$

The total area of the figure is: ( 2 × $A_{ABRS}$ + 2 × $A_{BCQR}$ + 2 × $A_{DEOP}$ )

In trapezoid ABRS: $b_{1}$ = 6, $b_{2}$ = 8 and h = 3 ⇒

2 × $A_{ABRS}$ = 2 × [3(6 + 8) ÷ 2] = 42 units²

In rectangle BCQR: l = 6 and w = 3 ⇒

2 × $A_{BCQR}$ = 2 × (6 × 3) = 36 units²

In trapezoid DEOP: $b_{1}$ = 6, $b_{2}$ = 10 and h = 3 ⇒

2 × $A_{DEOP}$ = 2 × [3(6 + 10) ÷ 2] = 48 units²

$A_{total}$ = 42 + 36 + 48 = 126 units²

3 0

3 years ago

Jessle served 11 pints of orange Juice at her party. How many quarts of orange juice did she serve?

Ratling [72]

5.5 quarts

(Divide the volume value by 2)

6 0

3 years ago

Angela drew the two quadrilaterals shown. The second is a scale drawing of the first. What scale factor did Angela use to draw t

nirvana33 [79]

She used the factor 3, she multiplied 5 by 3 and 7 by 3
main answer is just 3

7 0

3 years ago

Barney and Betty break into a parking meter with $5.05 in dimes and quarters in it, and agree that Barney get all the dimes, and

Sliva [168]

So remember that a quarter=25 cents and a dime=10 cents so
represent q=# of quarters
d=# of dimes

so barney gets dimes so replace barney with d and betty with q
barney get 5 more coins than betty
d=5+q
total=5.05=0.25q+0.10d since each is worth 0.25 and 0.10 so we have
d=5+q and 5.05=0.25q+0.10d
subsitue (5+q) for d
5.05=0.25q+0.10(5+q)
distribute
5.05=0.25q+0.50+0.10q
add like terms
5.05=0.35q+0.50
subtract 0.50 from both sides
4.55=0.35q
divide both sides by 0.35
13=q
subsitute
d=5+q
d=5+13
d=18

barney got 18 coins and betty got 13 coins

3 0

3 years ago

PLEASE SOLVE 8=v/6. IT IS A ONE-STEP EQUATION AND I NEED YOU TO SHOW THE WORK!

Rainbow [258]

Answer:

v = 48

Step-by-step explanation:

8 = v/6

Step 1: Multiply both sides by 6.

8 × 6 = v/6 × 6

v/6 cancels out and becomes v

48 = v

Step 2: Flip the equation.

v = 48

4 0

3 years ago